diff --git a/.gitattributes b/.gitattributes
index 1ef325f1b111266a6b26e0196871bd78baa8c2f3..f197cee4dfffbda656ccd7e3dfcf85d3a5973e2c 100644
--- a/.gitattributes
+++ b/.gitattributes
@@ -57,3 +57,5 @@ saved_model/**/* filter=lfs diff=lfs merge=lfs -text
 # Video files - compressed
 *.mp4 filter=lfs diff=lfs merge=lfs -text
 *.webm filter=lfs diff=lfs merge=lfs -text
+static_evaluation_set/v0_09-01-25/extension/causal_arc_extension.json filter=lfs diff=lfs merge=lfs -text
+static_evaluation_set/v0_09-01-25/logical/causal_arc_logical.json filter=lfs diff=lfs merge=lfs -text
diff --git a/prompts/.DS_Store b/prompts/.DS_Store
new file mode 100644
index 0000000000000000000000000000000000000000..dd31f94734213f02a1b8f2c2344d3c0fd34666db
Binary files /dev/null and b/prompts/.DS_Store differ
diff --git a/prompts/causal_discovery/discovery_logical_compose_and_xor_prompts.json b/prompts/causal_discovery/discovery_logical_compose_and_xor_prompts.json
new file mode 100644
index 0000000000000000000000000000000000000000..958bdd4c39d51b3d6c936331b28938ec300a42c6
--- /dev/null
+++ b/prompts/causal_discovery/discovery_logical_compose_and_xor_prompts.json
@@ -0,0 +1,50 @@
+{
+    "SCMtcbq!and!xor!10x10": {
+        "L1": {
+            "Replicate 0": "You must solve the following causal discovery problem, where the cells in an input array are causal parents of cells in an output array. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. You must predict the causal function(s) that relate parent cells in the input to their children in the output. Be concise: do not explain your reasoning, and start your answer with 'The logical operators are'.\nExample input-output arrays:\n[[4, 0, 4, 0, 0, 4, 4, 4, 4, 0], [4, 4, 0, 4, 4, 4, 0, 4, 0, 0], [0, 0, 4, 0, 0, 0, 4, 4, 4, 0], [4, 4, 4, 0, 4, 4, 0, 0, 0, 0], [4, 4, 0, 0, 4, 0, 0, 4, 4, 0], [0, 0, 4, 4, 4, 0, 0, 4, 4, 4], [0, 4, 4, 0, 4, 4, 4, 4, 4, 0], [4, 0, 4, 4, 0, 0, 0, 4, 0, 0], [4, 4, 4, 4, 0, 4, 0, 4, 0, 4], [4, 4, 0, 4, 4, 0, 0, 0, 0, 4], [0, 5, 0, 5, 0, 0, 5, 5, 5, 0], [0, 0, 5, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 5, 5, 5, 5], [5, 0, 0, 5, 5, 5, 5, 0, 5, 5], [5, 0, 0, 5, 0, 5, 0, 0, 0, 0], [0, 5, 0, 5, 5, 0, 5, 0, 5, 5], [0, 0, 5, 0, 0, 5, 0, 5, 5, 5], [5, 0, 5, 0, 0, 0, 5, 5, 0, 0], [0, 0, 5, 5, 0, 0, 0, 0, 0, 0], [0, 5, 5, 5, 0, 5, 0, 0, 0, 5], [2, 0, 0, 0, 2, 0, 2, 0, 0, 2], [2, 0, 2, 2, 2, 2, 0, 0, 0, 0], [2, 0, 2, 2, 0, 2, 2, 0, 2, 2], [2, 0, 0, 2, 2, 0, 0, 2, 2, 0], [0, 0, 2, 2, 2, 2, 2, 2, 0, 0], [0, 2, 2, 2, 2, 0, 2, 0, 0, 0], [0, 0, 2, 0, 2, 0, 0, 2, 2, 0], [0, 0, 0, 2, 2, 0, 0, 2, 2, 2], [2, 2, 0, 0, 2, 2, 0, 0, 2, 2], [0, 2, 0, 2, 0, 0, 0, 2, 2, 2]] -> [[1, 0, 0, 0, 1, 0, 0, 1, 1, 1], [1, 0, 1, 1, 0, 1, 0, 0, 0, 0], [1, 0, 1, 1, 0, 1, 0, 1, 0, 1], [0, 0, 0, 1, 0, 1, 0, 1, 1, 0], [1, 0, 1, 1, 1, 1, 1, 1, 0, 0], [0, 1, 1, 0, 0, 0, 1, 0, 1, 1], [0, 0, 0, 0, 1, 1, 0, 0, 0, 0], [1, 0, 1, 1, 1, 0, 0, 0, 1, 1], [1, 1, 1, 1, 1, 1, 0, 0, 1, 1], [0, 0, 0, 0, 0, 0, 0, 1, 1, 0]]\nExample input-output arrays:\n[[0, 4, 4, 4, 0, 4, 4, 0, 4, 4], [0, 4, 4, 4, 0, 0, 4, 4, 4, 4], [0, 4, 0, 4, 4, 0, 0, 4, 4, 0], [0, 0, 0, 0, 0, 4, 0, 0, 0, 4], [0, 4, 4, 0, 0, 4, 0, 4, 4, 4], [0, 4, 0, 4, 4, 4, 4, 0, 0, 0], [0, 0, 0, 0, 4, 4, 4, 0, 0, 0], [0, 0, 0, 4, 0, 0, 0, 4, 0, 0], [0, 4, 0, 0, 4, 0, 4, 4, 0, 0], [4, 0, 4, 4, 4, 0, 4, 4, 0, 4], [0, 0, 0, 5, 5, 5, 0, 0, 5, 5], [0, 5, 0, 5, 0, 5, 0, 5, 0, 5], [0, 5, 5, 5, 5, 5, 0, 5, 0, 0], [0, 5, 5, 0, 0, 0, 5, 0, 5, 5], [0, 0, 5, 0, 5, 5, 5, 5, 0, 0], [0, 0, 5, 0, 5, 0, 5, 5, 5, 5], [5, 5, 5, 0, 0, 0, 0, 0, 5, 5], [5, 5, 0, 0, 5, 0, 5, 0, 5, 5], [0, 0, 5, 0, 0, 0, 0, 5, 5, 0], [5, 5, 5, 0, 5, 0, 0, 5, 5, 5], [0, 0, 2, 0, 0, 2, 0, 0, 0, 0], [2, 2, 2, 2, 0, 2, 2, 0, 0, 2], [0, 0, 2, 0, 0, 2, 0, 2, 2, 2], [2, 0, 0, 2, 2, 0, 2, 0, 2, 2], [0, 2, 2, 2, 0, 2, 0, 2, 2, 2], [0, 2, 0, 0, 2, 2, 2, 2, 0, 0], [2, 0, 0, 0, 0, 0, 0, 2, 0, 2], [2, 2, 0, 2, 0, 2, 2, 2, 0, 2], [2, 0, 0, 2, 0, 0, 0, 2, 2, 2], [2, 0, 0, 2, 2, 0, 0, 2, 2, 0]] -> [[0, 0, 1, 1, 0, 0, 0, 0, 1, 1], [1, 0, 1, 0, 0, 1, 1, 1, 0, 0], [0, 1, 1, 1, 1, 1, 0, 0, 1, 1], [1, 0, 0, 1, 1, 0, 1, 0, 1, 0], [0, 1, 0, 1, 0, 0, 0, 0, 1, 1], [0, 1, 0, 0, 0, 1, 0, 1, 0, 0], [1, 0, 0, 0, 0, 0, 0, 1, 0, 1], [1, 1, 0, 1, 0, 1, 1, 1, 0, 1], [1, 0, 0, 1, 0, 0, 0, 0, 1, 1], [0, 0, 1, 1, 0, 0, 0, 0, 1, 1]]\nExample input-output arrays:\n[[0, 4, 0, 0, 0, 4, 4, 0, 0, 0], [0, 4, 4, 0, 4, 0, 0, 4, 4, 4], [0, 0, 0, 0, 0, 4, 4, 4, 4, 4], [4, 4, 0, 4, 0, 0, 0, 4, 0, 0], [4, 0, 0, 4, 0, 0, 0, 4, 0, 0], [0, 4, 0, 4, 0, 4, 0, 0, 4, 0], [0, 4, 0, 0, 0, 4, 4, 0, 4, 4], [4, 4, 4, 0, 4, 4, 4, 0, 0, 4], [0, 4, 4, 0, 0, 4, 0, 4, 4, 4], [4, 4, 4, 0, 0, 0, 0, 4, 0, 4], [5, 0, 5, 5, 5, 5, 5, 0, 5, 0], [5, 5, 5, 5, 0, 5, 0, 0, 0, 5], [0, 0, 0, 0, 0, 0, 0, 5, 5, 5], [0, 0, 0, 0, 5, 5, 0, 0, 5, 0], [0, 0, 0, 0, 0, 5, 5, 5, 5, 5], [5, 5, 5, 0, 0, 0, 5, 0, 0, 5], [0, 0, 0, 5, 0, 5, 0, 0, 0, 5], [5, 5, 0, 0, 0, 0, 0, 5, 5, 0], [5, 5, 5, 0, 5, 0, 5, 0, 0, 5], [0, 5, 5, 0, 5, 0, 5, 0, 5, 5], [2, 0, 0, 2, 0, 0, 0, 2, 0, 2], [2, 2, 0, 2, 2, 2, 2, 2, 2, 2], [2, 0, 0, 0, 0, 2, 0, 0, 2, 0], [2, 2, 2, 0, 2, 0, 0, 2, 0, 2], [2, 2, 0, 0, 0, 0, 2, 0, 2, 0], [2, 2, 2, 0, 2, 0, 2, 2, 0, 0], [0, 2, 0, 0, 0, 2, 2, 0, 2, 0], [2, 0, 0, 2, 2, 0, 0, 2, 2, 0], [0, 2, 0, 0, 2, 2, 2, 2, 2, 0], [0, 2, 0, 2, 0, 2, 0, 2, 2, 2]] -> [[1, 0, 0, 1, 0, 1, 1, 1, 0, 1], [1, 0, 1, 1, 1, 1, 1, 1, 1, 0], [1, 0, 0, 0, 0, 1, 0, 1, 0, 1], [1, 1, 1, 0, 1, 0, 0, 1, 0, 1], [1, 1, 0, 0, 0, 0, 1, 1, 1, 0], [1, 0, 1, 0, 1, 0, 1, 1, 0, 0], [0, 1, 0, 0, 0, 0, 1, 0, 1, 1], [0, 1, 0, 1, 1, 0, 0, 1, 1, 0], [0, 0, 1, 0, 1, 1, 1, 1, 1, 1], [0, 0, 1, 1, 0, 1, 0, 1, 1, 0]]\nExample input-output arrays:\n[[4, 0, 4, 0, 0, 4, 4, 4, 4, 0], [4, 4, 0, 4, 4, 4, 0, 4, 0, 0], [0, 0, 4, 0, 0, 0, 4, 4, 4, 0], [4, 4, 4, 0, 4, 4, 0, 0, 0, 0], [4, 4, 0, 0, 4, 0, 0, 4, 4, 0], [0, 0, 4, 4, 4, 0, 0, 4, 4, 4], [0, 4, 4, 0, 4, 4, 4, 4, 4, 0], [4, 0, 4, 4, 0, 0, 0, 4, 0, 0], [4, 4, 4, 4, 0, 4, 0, 4, 0, 4], [4, 4, 0, 4, 4, 0, 0, 0, 0, 4], [0, 5, 0, 5, 0, 0, 5, 5, 5, 0], [0, 0, 5, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 5, 5, 5, 5], [5, 0, 0, 5, 5, 5, 5, 0, 5, 5], [5, 0, 0, 5, 0, 5, 0, 0, 0, 0], [0, 5, 0, 5, 5, 0, 5, 0, 5, 5], [0, 0, 5, 0, 0, 5, 0, 5, 5, 5], [5, 0, 5, 0, 0, 0, 5, 5, 0, 0], [0, 0, 5, 5, 0, 0, 0, 0, 0, 0], [0, 5, 5, 5, 0, 5, 0, 0, 0, 5], [2, 0, 0, 0, 2, 0, 2, 0, 0, 2], [2, 0, 2, 2, 2, 2, 0, 0, 0, 0], [2, 0, 2, 2, 0, 2, 2, 0, 2, 2], [2, 0, 0, 2, 2, 0, 0, 2, 2, 0], [0, 0, 2, 2, 2, 2, 2, 2, 0, 0], [0, 2, 2, 2, 2, 0, 2, 0, 0, 0], [0, 0, 2, 0, 2, 0, 0, 2, 2, 0], [0, 0, 0, 2, 2, 0, 0, 2, 2, 2], [2, 2, 0, 0, 2, 2, 0, 0, 2, 2], [0, 2, 0, 2, 0, 0, 0, 2, 2, 2]] -> [[1, 0, 0, 0, 1, 0, 0, 1, 1, 1], [1, 0, 1, 1, 0, 1, 0, 0, 0, 0], [1, 0, 1, 1, 0, 1, 0, 1, 0, 1], [0, 0, 0, 1, 0, 1, 0, 1, 1, 0], [1, 0, 1, 1, 1, 1, 1, 1, 0, 0], [0, 1, 1, 0, 0, 0, 1, 0, 1, 1], [0, 0, 0, 0, 1, 1, 0, 0, 0, 0], [1, 0, 1, 1, 1, 0, 0, 0, 1, 1], [1, 1, 1, 1, 1, 1, 0, 0, 1, 1], [0, 0, 0, 0, 0, 0, 0, 1, 1, 0]]\n",
+            "Replicate 1": "You must solve the following causal discovery problem, where the cells in an input array are causal parents of cells in an output array. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. You must predict the causal function(s) that relate parent cells in the input to their children in the output. Be concise: do not explain your reasoning, and start your answer with 'The logical operators are'.\nExample input-output arrays:\n[[4, 4, 0, 0, 4, 0, 4, 0, 4, 4], [4, 0, 0, 0, 0, 4, 0, 4, 4, 4], [4, 0, 4, 0, 4, 4, 4, 4, 4, 0], [4, 0, 4, 4, 4, 0, 4, 0, 4, 4], [0, 4, 4, 4, 4, 4, 4, 0, 4, 0], [4, 4, 0, 0, 0, 4, 0, 4, 4, 0], [4, 4, 4, 4, 0, 0, 4, 4, 4, 4], [4, 4, 0, 4, 4, 0, 4, 4, 0, 4], [4, 4, 4, 0, 0, 0, 4, 4, 4, 4], [0, 0, 4, 4, 0, 4, 0, 4, 4, 0], [5, 0, 0, 0, 0, 0, 5, 0, 0, 0], [0, 5, 5, 0, 5, 5, 0, 5, 5, 0], [5, 0, 0, 0, 0, 5, 5, 5, 0, 5], [5, 0, 5, 5, 0, 5, 5, 0, 0, 0], [0, 5, 0, 0, 0, 5, 5, 5, 0, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 5, 0, 5, 5, 0, 0, 0, 5, 5], [5, 5, 0, 0, 5, 5, 5, 5, 5, 5], [0, 5, 0, 5, 5, 5, 0, 0, 5, 5], [5, 5, 5, 5, 0, 0, 0, 5, 0, 0], [0, 2, 2, 2, 2, 0, 0, 0, 0, 2], [0, 2, 2, 2, 0, 0, 0, 2, 2, 2], [2, 0, 2, 2, 0, 0, 2, 0, 0, 2], [2, 0, 0, 0, 2, 0, 2, 2, 0, 2], [0, 2, 0, 2, 0, 0, 0, 2, 0, 0], [2, 2, 2, 2, 0, 2, 0, 2, 0, 2], [2, 2, 2, 2, 0, 2, 2, 0, 2, 2], [0, 0, 0, 0, 0, 2, 0, 0, 2, 2], [2, 2, 2, 2, 0, 2, 0, 0, 2, 0], [2, 2, 0, 2, 0, 2, 0, 2, 2, 2]] -> [[1, 1, 1, 1, 1, 0, 1, 0, 0, 1], [0, 1, 1, 1, 0, 1, 0, 0, 0, 1], [0, 0, 1, 1, 0, 1, 0, 1, 0, 1], [0, 0, 1, 1, 1, 0, 0, 1, 0, 1], [0, 0, 0, 1, 0, 1, 1, 1, 0, 0], [1, 1, 1, 1, 0, 1, 0, 1, 0, 1], [1, 0, 1, 0, 0, 1, 1, 0, 0, 0], [1, 1, 0, 0, 1, 1, 1, 1, 1, 0], [1, 0, 1, 1, 0, 1, 0, 0, 0, 1], [1, 1, 1, 0, 0, 1, 0, 0, 1, 1]]\nExample input-output arrays:\n[[4, 0, 4, 0, 0, 4, 4, 4, 4, 0], [4, 4, 0, 4, 4, 4, 0, 4, 0, 0], [0, 0, 4, 0, 0, 0, 4, 4, 4, 0], [4, 4, 4, 0, 4, 4, 0, 0, 0, 0], [4, 4, 0, 0, 4, 0, 0, 4, 4, 0], [0, 0, 4, 4, 4, 0, 0, 4, 4, 4], [0, 4, 4, 0, 4, 4, 4, 4, 4, 0], [4, 0, 4, 4, 0, 0, 0, 4, 0, 0], [4, 4, 4, 4, 0, 4, 0, 4, 0, 4], [4, 4, 0, 4, 4, 0, 0, 0, 0, 4], [0, 5, 0, 5, 0, 0, 5, 5, 5, 0], [0, 0, 5, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 5, 5, 5, 5], [5, 0, 0, 5, 5, 5, 5, 0, 5, 5], [5, 0, 0, 5, 0, 5, 0, 0, 0, 0], [0, 5, 0, 5, 5, 0, 5, 0, 5, 5], [0, 0, 5, 0, 0, 5, 0, 5, 5, 5], [5, 0, 5, 0, 0, 0, 5, 5, 0, 0], [0, 0, 5, 5, 0, 0, 0, 0, 0, 0], [0, 5, 5, 5, 0, 5, 0, 0, 0, 5], [2, 0, 0, 0, 2, 0, 2, 0, 0, 2], [2, 0, 2, 2, 2, 2, 0, 0, 0, 0], [2, 0, 2, 2, 0, 2, 2, 0, 2, 2], [2, 0, 0, 2, 2, 0, 0, 2, 2, 0], [0, 0, 2, 2, 2, 2, 2, 2, 0, 0], [0, 2, 2, 2, 2, 0, 2, 0, 0, 0], [0, 0, 2, 0, 2, 0, 0, 2, 2, 0], [0, 0, 0, 2, 2, 0, 0, 2, 2, 2], [2, 2, 0, 0, 2, 2, 0, 0, 2, 2], [0, 2, 0, 2, 0, 0, 0, 2, 2, 2]] -> [[1, 0, 0, 0, 1, 0, 0, 1, 1, 1], [1, 0, 1, 1, 0, 1, 0, 0, 0, 0], [1, 0, 1, 1, 0, 1, 0, 1, 0, 1], [0, 0, 0, 1, 0, 1, 0, 1, 1, 0], [1, 0, 1, 1, 1, 1, 1, 1, 0, 0], [0, 1, 1, 0, 0, 0, 1, 0, 1, 1], [0, 0, 0, 0, 1, 1, 0, 0, 0, 0], [1, 0, 1, 1, 1, 0, 0, 0, 1, 1], [1, 1, 1, 1, 1, 1, 0, 0, 1, 1], [0, 0, 0, 0, 0, 0, 0, 1, 1, 0]]\nExample input-output arrays:\n[[0, 4, 0, 0, 0, 4, 4, 0, 0, 0], [0, 4, 4, 0, 4, 0, 0, 4, 4, 4], [0, 0, 0, 0, 0, 4, 4, 4, 4, 4], [4, 4, 0, 4, 0, 0, 0, 4, 0, 0], [4, 0, 0, 4, 0, 0, 0, 4, 0, 0], [0, 4, 0, 4, 0, 4, 0, 0, 4, 0], [0, 4, 0, 0, 0, 4, 4, 0, 4, 4], [4, 4, 4, 0, 4, 4, 4, 0, 0, 4], [0, 4, 4, 0, 0, 4, 0, 4, 4, 4], [4, 4, 4, 0, 0, 0, 0, 4, 0, 4], [5, 0, 5, 5, 5, 5, 5, 0, 5, 0], [5, 5, 5, 5, 0, 5, 0, 0, 0, 5], [0, 0, 0, 0, 0, 0, 0, 5, 5, 5], [0, 0, 0, 0, 5, 5, 0, 0, 5, 0], [0, 0, 0, 0, 0, 5, 5, 5, 5, 5], [5, 5, 5, 0, 0, 0, 5, 0, 0, 5], [0, 0, 0, 5, 0, 5, 0, 0, 0, 5], [5, 5, 0, 0, 0, 0, 0, 5, 5, 0], [5, 5, 5, 0, 5, 0, 5, 0, 0, 5], [0, 5, 5, 0, 5, 0, 5, 0, 5, 5], [2, 0, 0, 2, 0, 0, 0, 2, 0, 2], [2, 2, 0, 2, 2, 2, 2, 2, 2, 2], [2, 0, 0, 0, 0, 2, 0, 0, 2, 0], [2, 2, 2, 0, 2, 0, 0, 2, 0, 2], [2, 2, 0, 0, 0, 0, 2, 0, 2, 0], [2, 2, 2, 0, 2, 0, 2, 2, 0, 0], [0, 2, 0, 0, 0, 2, 2, 0, 2, 0], [2, 0, 0, 2, 2, 0, 0, 2, 2, 0], [0, 2, 0, 0, 2, 2, 2, 2, 2, 0], [0, 2, 0, 2, 0, 2, 0, 2, 2, 2]] -> [[1, 0, 0, 1, 0, 1, 1, 1, 0, 1], [1, 0, 1, 1, 1, 1, 1, 1, 1, 0], [1, 0, 0, 0, 0, 1, 0, 1, 0, 1], [1, 1, 1, 0, 1, 0, 0, 1, 0, 1], [1, 1, 0, 0, 0, 0, 1, 1, 1, 0], [1, 0, 1, 0, 1, 0, 1, 1, 0, 0], [0, 1, 0, 0, 0, 0, 1, 0, 1, 1], [0, 1, 0, 1, 1, 0, 0, 1, 1, 0], [0, 0, 1, 0, 1, 1, 1, 1, 1, 1], [0, 0, 1, 1, 0, 1, 0, 1, 1, 0]]\nExample input-output arrays:\n[[4, 0, 4, 0, 4, 0, 4, 0, 4, 0], [0, 4, 4, 4, 4, 0, 0, 4, 4, 4], [4, 4, 4, 4, 0, 4, 0, 0, 0, 0], [4, 4, 4, 0, 4, 0, 4, 4, 4, 0], [4, 0, 4, 4, 0, 0, 0, 4, 0, 0], [4, 0, 4, 4, 4, 0, 0, 4, 4, 4], [4, 4, 0, 0, 4, 0, 4, 0, 0, 0], [0, 0, 4, 4, 4, 0, 0, 4, 0, 0], [4, 4, 4, 4, 4, 4, 0, 0, 4, 0], [4, 0, 4, 4, 4, 4, 0, 0, 4, 4], [0, 0, 5, 5, 0, 0, 5, 0, 0, 0], [0, 0, 0, 5, 0, 0, 5, 5, 5, 0], [0, 5, 5, 5, 5, 0, 5, 0, 5, 0], [5, 5, 0, 0, 0, 5, 0, 0, 5, 5], [5, 5, 5, 0, 0, 5, 0, 5, 5, 0], [5, 0, 0, 0, 0, 5, 0, 0, 0, 0], [5, 5, 5, 0, 5, 5, 5, 0, 0, 5], [5, 0, 5, 5, 0, 0, 5, 0, 5, 0], [5, 5, 5, 5, 5, 5, 0, 0, 5, 5], [5, 0, 0, 5, 5, 0, 0, 0, 0, 5], [2, 0, 0, 0, 0, 2, 2, 2, 2, 2], [0, 0, 2, 2, 2, 0, 2, 0, 2, 2], [0, 0, 0, 0, 2, 2, 2, 2, 2, 2], [2, 2, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [2, 2, 0, 0, 2, 2, 0, 2, 2, 0], [2, 2, 2, 0, 0, 2, 2, 2, 2, 2], [2, 0, 2, 0, 0, 2, 2, 0, 2, 2], [2, 2, 2, 0, 0, 2, 0, 2, 0, 0], [0, 0, 0, 2, 2, 2, 0, 0, 0, 0]] -> [[1, 0, 1, 0, 0, 1, 0, 1, 1, 1], [0, 0, 1, 0, 1, 0, 1, 1, 0, 1], [0, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 1, 0], [1, 0, 1, 0, 0, 1, 0, 1, 0, 0], [0, 1, 0, 0, 1, 1, 0, 1, 1, 0], [0, 0, 1, 0, 1, 1, 0, 1, 1, 1], [1, 0, 0, 1, 0, 1, 1, 0, 1, 1], [0, 0, 0, 1, 1, 0, 0, 1, 1, 0], [1, 0, 0, 0, 0, 1, 0, 0, 0, 1]]\n",
+            "Replicate 2": "You must solve the following causal discovery problem, where the cells in an input array are causal parents of cells in an output array. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. You must predict the causal function(s) that relate parent cells in the input to their children in the output. Be concise: do not explain your reasoning, and start your answer with 'The logical operators are'.\nExample input-output arrays:\n[[4, 4, 0, 0, 4, 0, 4, 0, 4, 4], [4, 0, 0, 0, 0, 4, 0, 4, 4, 4], [4, 0, 4, 0, 4, 4, 4, 4, 4, 0], [4, 0, 4, 4, 4, 0, 4, 0, 4, 4], [0, 4, 4, 4, 4, 4, 4, 0, 4, 0], [4, 4, 0, 0, 0, 4, 0, 4, 4, 0], [4, 4, 4, 4, 0, 0, 4, 4, 4, 4], [4, 4, 0, 4, 4, 0, 4, 4, 0, 4], [4, 4, 4, 0, 0, 0, 4, 4, 4, 4], [0, 0, 4, 4, 0, 4, 0, 4, 4, 0], [5, 0, 0, 0, 0, 0, 5, 0, 0, 0], [0, 5, 5, 0, 5, 5, 0, 5, 5, 0], [5, 0, 0, 0, 0, 5, 5, 5, 0, 5], [5, 0, 5, 5, 0, 5, 5, 0, 0, 0], [0, 5, 0, 0, 0, 5, 5, 5, 0, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 5, 0, 5, 5, 0, 0, 0, 5, 5], [5, 5, 0, 0, 5, 5, 5, 5, 5, 5], [0, 5, 0, 5, 5, 5, 0, 0, 5, 5], [5, 5, 5, 5, 0, 0, 0, 5, 0, 0], [0, 2, 2, 2, 2, 0, 0, 0, 0, 2], [0, 2, 2, 2, 0, 0, 0, 2, 2, 2], [2, 0, 2, 2, 0, 0, 2, 0, 0, 2], [2, 0, 0, 0, 2, 0, 2, 2, 0, 2], [0, 2, 0, 2, 0, 0, 0, 2, 0, 0], [2, 2, 2, 2, 0, 2, 0, 2, 0, 2], [2, 2, 2, 2, 0, 2, 2, 0, 2, 2], [0, 0, 0, 0, 0, 2, 0, 0, 2, 2], [2, 2, 2, 2, 0, 2, 0, 0, 2, 0], [2, 2, 0, 2, 0, 2, 0, 2, 2, 2]] -> [[1, 1, 1, 1, 1, 0, 1, 0, 0, 1], [0, 1, 1, 1, 0, 1, 0, 0, 0, 1], [0, 0, 1, 1, 0, 1, 0, 1, 0, 1], [0, 0, 1, 1, 1, 0, 0, 1, 0, 1], [0, 0, 0, 1, 0, 1, 1, 1, 0, 0], [1, 1, 1, 1, 0, 1, 0, 1, 0, 1], [1, 0, 1, 0, 0, 1, 1, 0, 0, 0], [1, 1, 0, 0, 1, 1, 1, 1, 1, 0], [1, 0, 1, 1, 0, 1, 0, 0, 0, 1], [1, 1, 1, 0, 0, 1, 0, 0, 1, 1]]\nExample input-output arrays:\n[[4, 4, 4, 4, 0, 0, 0, 4, 4, 4], [0, 0, 0, 4, 0, 0, 4, 4, 4, 0], [4, 0, 0, 4, 4, 4, 0, 4, 4, 0], [0, 0, 0, 0, 4, 0, 0, 0, 0, 4], [4, 0, 0, 0, 0, 4, 0, 4, 4, 0], [0, 0, 4, 4, 0, 0, 0, 4, 4, 0], [4, 0, 4, 0, 0, 4, 4, 4, 0, 0], [0, 4, 0, 0, 0, 0, 0, 4, 4, 0], [0, 0, 0, 0, 4, 0, 4, 0, 0, 4], [4, 0, 4, 0, 4, 4, 0, 4, 4, 4], [0, 0, 5, 0, 5, 5, 5, 5, 5, 5], [5, 0, 0, 0, 0, 5, 5, 5, 0, 0], [5, 0, 5, 5, 0, 0, 5, 0, 0, 5], [5, 0, 0, 5, 5, 0, 0, 5, 0, 5], [5, 0, 0, 5, 5, 0, 5, 0, 5, 0], [5, 0, 5, 5, 0, 0, 5, 5, 5, 5], [0, 5, 0, 5, 0, 5, 0, 5, 0, 0], [0, 5, 5, 0, 5, 5, 0, 0, 5, 0], [5, 0, 5, 5, 0, 5, 0, 0, 0, 5], [0, 0, 0, 5, 0, 5, 0, 5, 5, 5], [0, 0, 2, 2, 2, 2, 0, 0, 2, 2], [0, 2, 2, 0, 2, 2, 2, 0, 2, 2], [2, 2, 2, 2, 2, 0, 0, 0, 0, 0], [0, 2, 0, 0, 0, 0, 2, 0, 0, 2], [2, 0, 0, 0, 0, 0, 0, 0, 0, 2], [0, 2, 0, 0, 0, 0, 2, 2, 2, 2], [2, 0, 2, 0, 2, 0, 2, 0, 2, 0], [0, 0, 2, 2, 0, 2, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 2, 0, 2, 0], [0, 0, 2, 2, 2, 2, 0, 2, 0, 0]] -> [[0, 0, 0, 1, 1, 1, 0, 1, 0, 0], [0, 1, 1, 0, 1, 1, 0, 1, 1, 1], [0, 1, 1, 0, 1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 1, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 1, 1], [0, 1, 1, 1, 0, 0, 1, 0, 0, 1], [1, 0, 1, 0, 1, 1, 1, 1, 1, 0], [0, 1, 1, 1, 0, 1, 0, 0, 1, 0], [0, 1, 1, 0, 0, 0, 1, 0, 1, 1], [0, 0, 1, 1, 1, 0, 0, 0, 1, 1]]\nExample input-output arrays:\n[[4, 4, 4, 4, 0, 0, 0, 4, 4, 4], [0, 0, 0, 4, 0, 0, 4, 4, 4, 0], [4, 0, 0, 4, 4, 4, 0, 4, 4, 0], [0, 0, 0, 0, 4, 0, 0, 0, 0, 4], [4, 0, 0, 0, 0, 4, 0, 4, 4, 0], [0, 0, 4, 4, 0, 0, 0, 4, 4, 0], [4, 0, 4, 0, 0, 4, 4, 4, 0, 0], [0, 4, 0, 0, 0, 0, 0, 4, 4, 0], [0, 0, 0, 0, 4, 0, 4, 0, 0, 4], [4, 0, 4, 0, 4, 4, 0, 4, 4, 4], [0, 0, 5, 0, 5, 5, 5, 5, 5, 5], [5, 0, 0, 0, 0, 5, 5, 5, 0, 0], [5, 0, 5, 5, 0, 0, 5, 0, 0, 5], [5, 0, 0, 5, 5, 0, 0, 5, 0, 5], [5, 0, 0, 5, 5, 0, 5, 0, 5, 0], [5, 0, 5, 5, 0, 0, 5, 5, 5, 5], [0, 5, 0, 5, 0, 5, 0, 5, 0, 0], [0, 5, 5, 0, 5, 5, 0, 0, 5, 0], [5, 0, 5, 5, 0, 5, 0, 0, 0, 5], [0, 0, 0, 5, 0, 5, 0, 5, 5, 5], [0, 0, 2, 2, 2, 2, 0, 0, 2, 2], [0, 2, 2, 0, 2, 2, 2, 0, 2, 2], [2, 2, 2, 2, 2, 0, 0, 0, 0, 0], [0, 2, 0, 0, 0, 0, 2, 0, 0, 2], [2, 0, 0, 0, 0, 0, 0, 0, 0, 2], [0, 2, 0, 0, 0, 0, 2, 2, 2, 2], [2, 0, 2, 0, 2, 0, 2, 0, 2, 0], [0, 0, 2, 2, 0, 2, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 2, 0, 2, 0], [0, 0, 2, 2, 2, 2, 0, 2, 0, 0]] -> [[0, 0, 0, 1, 1, 1, 0, 1, 0, 0], [0, 1, 1, 0, 1, 1, 0, 1, 1, 1], [0, 1, 1, 0, 1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 1, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 1, 1], [0, 1, 1, 1, 0, 0, 1, 0, 0, 1], [1, 0, 1, 0, 1, 1, 1, 1, 1, 0], [0, 1, 1, 1, 0, 1, 0, 0, 1, 0], [0, 1, 1, 0, 0, 0, 1, 0, 1, 1], [0, 0, 1, 1, 1, 0, 0, 0, 1, 1]]\nExample input-output arrays:\n[[0, 4, 4, 4, 0, 4, 4, 0, 4, 4], [0, 4, 4, 4, 0, 0, 4, 4, 4, 4], [0, 4, 0, 4, 4, 0, 0, 4, 4, 0], [0, 0, 0, 0, 0, 4, 0, 0, 0, 4], [0, 4, 4, 0, 0, 4, 0, 4, 4, 4], [0, 4, 0, 4, 4, 4, 4, 0, 0, 0], [0, 0, 0, 0, 4, 4, 4, 0, 0, 0], [0, 0, 0, 4, 0, 0, 0, 4, 0, 0], [0, 4, 0, 0, 4, 0, 4, 4, 0, 0], [4, 0, 4, 4, 4, 0, 4, 4, 0, 4], [0, 0, 0, 5, 5, 5, 0, 0, 5, 5], [0, 5, 0, 5, 0, 5, 0, 5, 0, 5], [0, 5, 5, 5, 5, 5, 0, 5, 0, 0], [0, 5, 5, 0, 0, 0, 5, 0, 5, 5], [0, 0, 5, 0, 5, 5, 5, 5, 0, 0], [0, 0, 5, 0, 5, 0, 5, 5, 5, 5], [5, 5, 5, 0, 0, 0, 0, 0, 5, 5], [5, 5, 0, 0, 5, 0, 5, 0, 5, 5], [0, 0, 5, 0, 0, 0, 0, 5, 5, 0], [5, 5, 5, 0, 5, 0, 0, 5, 5, 5], [0, 0, 2, 0, 0, 2, 0, 0, 0, 0], [2, 2, 2, 2, 0, 2, 2, 0, 0, 2], [0, 0, 2, 0, 0, 2, 0, 2, 2, 2], [2, 0, 0, 2, 2, 0, 2, 0, 2, 2], [0, 2, 2, 2, 0, 2, 0, 2, 2, 2], [0, 2, 0, 0, 2, 2, 2, 2, 0, 0], [2, 0, 0, 0, 0, 0, 0, 2, 0, 2], [2, 2, 0, 2, 0, 2, 2, 2, 0, 2], [2, 0, 0, 2, 0, 0, 0, 2, 2, 2], [2, 0, 0, 2, 2, 0, 0, 2, 2, 0]] -> [[0, 0, 1, 1, 0, 0, 0, 0, 1, 1], [1, 0, 1, 0, 0, 1, 1, 1, 0, 0], [0, 1, 1, 1, 1, 1, 0, 0, 1, 1], [1, 0, 0, 1, 1, 0, 1, 0, 1, 0], [0, 1, 0, 1, 0, 0, 0, 0, 1, 1], [0, 1, 0, 0, 0, 1, 0, 1, 0, 0], [1, 0, 0, 0, 0, 0, 0, 1, 0, 1], [1, 1, 0, 1, 0, 1, 1, 1, 0, 1], [1, 0, 0, 1, 0, 0, 0, 0, 1, 1], [0, 0, 1, 1, 0, 0, 0, 0, 1, 1]]\n",
+            "Replicate 3": "You must solve the following causal discovery problem, where the cells in an input array are causal parents of cells in an output array. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. You must predict the causal function(s) that relate parent cells in the input to their children in the output. Be concise: do not explain your reasoning, and start your answer with 'The logical operators are'.\nExample input-output arrays:\n[[4, 4, 0, 0, 4, 0, 4, 0, 4, 4], [4, 0, 0, 0, 0, 4, 0, 4, 4, 4], [4, 0, 4, 0, 4, 4, 4, 4, 4, 0], [4, 0, 4, 4, 4, 0, 4, 0, 4, 4], [0, 4, 4, 4, 4, 4, 4, 0, 4, 0], [4, 4, 0, 0, 0, 4, 0, 4, 4, 0], [4, 4, 4, 4, 0, 0, 4, 4, 4, 4], [4, 4, 0, 4, 4, 0, 4, 4, 0, 4], [4, 4, 4, 0, 0, 0, 4, 4, 4, 4], [0, 0, 4, 4, 0, 4, 0, 4, 4, 0], [5, 0, 0, 0, 0, 0, 5, 0, 0, 0], [0, 5, 5, 0, 5, 5, 0, 5, 5, 0], [5, 0, 0, 0, 0, 5, 5, 5, 0, 5], [5, 0, 5, 5, 0, 5, 5, 0, 0, 0], [0, 5, 0, 0, 0, 5, 5, 5, 0, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 5, 0, 5, 5, 0, 0, 0, 5, 5], [5, 5, 0, 0, 5, 5, 5, 5, 5, 5], [0, 5, 0, 5, 5, 5, 0, 0, 5, 5], [5, 5, 5, 5, 0, 0, 0, 5, 0, 0], [0, 2, 2, 2, 2, 0, 0, 0, 0, 2], [0, 2, 2, 2, 0, 0, 0, 2, 2, 2], [2, 0, 2, 2, 0, 0, 2, 0, 0, 2], [2, 0, 0, 0, 2, 0, 2, 2, 0, 2], [0, 2, 0, 2, 0, 0, 0, 2, 0, 0], [2, 2, 2, 2, 0, 2, 0, 2, 0, 2], [2, 2, 2, 2, 0, 2, 2, 0, 2, 2], [0, 0, 0, 0, 0, 2, 0, 0, 2, 2], [2, 2, 2, 2, 0, 2, 0, 0, 2, 0], [2, 2, 0, 2, 0, 2, 0, 2, 2, 2]] -> [[1, 1, 1, 1, 1, 0, 1, 0, 0, 1], [0, 1, 1, 1, 0, 1, 0, 0, 0, 1], [0, 0, 1, 1, 0, 1, 0, 1, 0, 1], [0, 0, 1, 1, 1, 0, 0, 1, 0, 1], [0, 0, 0, 1, 0, 1, 1, 1, 0, 0], [1, 1, 1, 1, 0, 1, 0, 1, 0, 1], [1, 0, 1, 0, 0, 1, 1, 0, 0, 0], [1, 1, 0, 0, 1, 1, 1, 1, 1, 0], [1, 0, 1, 1, 0, 1, 0, 0, 0, 1], [1, 1, 1, 0, 0, 1, 0, 0, 1, 1]]\nExample input-output arrays:\n[[0, 4, 4, 4, 0, 4, 4, 0, 4, 4], [0, 4, 4, 4, 0, 0, 4, 4, 4, 4], [0, 4, 0, 4, 4, 0, 0, 4, 4, 0], [0, 0, 0, 0, 0, 4, 0, 0, 0, 4], [0, 4, 4, 0, 0, 4, 0, 4, 4, 4], [0, 4, 0, 4, 4, 4, 4, 0, 0, 0], [0, 0, 0, 0, 4, 4, 4, 0, 0, 0], [0, 0, 0, 4, 0, 0, 0, 4, 0, 0], [0, 4, 0, 0, 4, 0, 4, 4, 0, 0], [4, 0, 4, 4, 4, 0, 4, 4, 0, 4], [0, 0, 0, 5, 5, 5, 0, 0, 5, 5], [0, 5, 0, 5, 0, 5, 0, 5, 0, 5], [0, 5, 5, 5, 5, 5, 0, 5, 0, 0], [0, 5, 5, 0, 0, 0, 5, 0, 5, 5], [0, 0, 5, 0, 5, 5, 5, 5, 0, 0], [0, 0, 5, 0, 5, 0, 5, 5, 5, 5], [5, 5, 5, 0, 0, 0, 0, 0, 5, 5], [5, 5, 0, 0, 5, 0, 5, 0, 5, 5], [0, 0, 5, 0, 0, 0, 0, 5, 5, 0], [5, 5, 5, 0, 5, 0, 0, 5, 5, 5], [0, 0, 2, 0, 0, 2, 0, 0, 0, 0], [2, 2, 2, 2, 0, 2, 2, 0, 0, 2], [0, 0, 2, 0, 0, 2, 0, 2, 2, 2], [2, 0, 0, 2, 2, 0, 2, 0, 2, 2], [0, 2, 2, 2, 0, 2, 0, 2, 2, 2], [0, 2, 0, 0, 2, 2, 2, 2, 0, 0], [2, 0, 0, 0, 0, 0, 0, 2, 0, 2], [2, 2, 0, 2, 0, 2, 2, 2, 0, 2], [2, 0, 0, 2, 0, 0, 0, 2, 2, 2], [2, 0, 0, 2, 2, 0, 0, 2, 2, 0]] -> [[0, 0, 1, 1, 0, 0, 0, 0, 1, 1], [1, 0, 1, 0, 0, 1, 1, 1, 0, 0], [0, 1, 1, 1, 1, 1, 0, 0, 1, 1], [1, 0, 0, 1, 1, 0, 1, 0, 1, 0], [0, 1, 0, 1, 0, 0, 0, 0, 1, 1], [0, 1, 0, 0, 0, 1, 0, 1, 0, 0], [1, 0, 0, 0, 0, 0, 0, 1, 0, 1], [1, 1, 0, 1, 0, 1, 1, 1, 0, 1], [1, 0, 0, 1, 0, 0, 0, 0, 1, 1], [0, 0, 1, 1, 0, 0, 0, 0, 1, 1]]\nExample input-output arrays:\n[[4, 0, 0, 4, 0, 0, 4, 4, 4, 0], [0, 0, 4, 4, 0, 0, 0, 4, 4, 4], [4, 0, 4, 0, 4, 0, 0, 4, 0, 4], [0, 0, 4, 4, 0, 4, 4, 4, 0, 4], [4, 4, 4, 0, 4, 0, 0, 4, 0, 0], [4, 4, 4, 0, 0, 4, 0, 0, 0, 4], [0, 0, 0, 4, 4, 4, 0, 4, 0, 4], [4, 0, 4, 4, 4, 4, 0, 4, 0, 0], [0, 4, 4, 0, 4, 4, 0, 0, 4, 0], [4, 4, 4, 0, 4, 4, 0, 0, 0, 4], [0, 5, 5, 0, 5, 5, 0, 0, 5, 0], [0, 5, 0, 5, 5, 5, 0, 5, 0, 5], [5, 0, 0, 0, 5, 0, 5, 0, 5, 5], [0, 0, 5, 5, 0, 0, 0, 0, 5, 5], [5, 0, 0, 0, 0, 0, 0, 5, 0, 5], [5, 5, 5, 5, 0, 0, 0, 5, 0, 0], [5, 0, 5, 5, 5, 0, 0, 5, 0, 5], [0, 0, 5, 5, 5, 0, 5, 5, 5, 5], [5, 5, 0, 0, 0, 0, 5, 5, 5, 0], [5, 0, 0, 5, 0, 5, 0, 0, 5, 5], [0, 2, 0, 0, 2, 2, 0, 2, 2, 0], [2, 2, 0, 0, 0, 2, 2, 2, 2, 2], [0, 2, 2, 0, 2, 2, 2, 2, 2, 2], [2, 0, 2, 0, 0, 0, 0, 2, 0, 2], [2, 2, 0, 0, 0, 2, 2, 2, 2, 2], [0, 0, 2, 2, 0, 2, 2, 0, 0, 2], [0, 2, 2, 0, 2, 2, 2, 0, 2, 2], [0, 2, 0, 0, 2, 2, 2, 2, 2, 2], [0, 2, 0, 0, 0, 0, 0, 2, 2, 2], [2, 0, 0, 2, 2, 0, 0, 2, 2, 2]] -> [[0, 1, 0, 0, 1, 1, 0, 1, 0, 0], [1, 1, 0, 1, 0, 1, 1, 0, 1, 0], [1, 1, 1, 0, 0, 1, 1, 1, 1, 0], [1, 0, 0, 1, 0, 0, 0, 1, 0, 0], [0, 1, 0, 0, 0, 1, 1, 0, 1, 1], [1, 1, 0, 1, 0, 1, 1, 0, 0, 1], [0, 1, 1, 1, 0, 1, 1, 1, 1, 0], [0, 1, 1, 1, 0, 1, 1, 0, 1, 1], [0, 0, 0, 0, 0, 0, 0, 1, 0, 1], [0, 0, 0, 1, 1, 1, 0, 1, 1, 0]]\nExample input-output arrays:\n[[4, 0, 0, 0, 4, 4, 4, 0, 0, 0], [4, 0, 4, 4, 0, 0, 4, 4, 4, 0], [0, 0, 4, 4, 4, 4, 4, 4, 4, 4], [0, 4, 4, 4, 0, 0, 4, 0, 0, 4], [4, 4, 4, 4, 0, 4, 4, 0, 4, 4], [4, 0, 4, 4, 0, 4, 0, 0, 0, 0], [0, 0, 0, 0, 4, 4, 4, 4, 0, 0], [0, 4, 0, 0, 4, 0, 4, 4, 4, 0], [0, 4, 4, 0, 4, 0, 0, 0, 0, 0], [4, 4, 0, 0, 4, 0, 0, 0, 0, 0], [5, 5, 0, 5, 5, 5, 0, 5, 0, 0], [0, 5, 5, 5, 0, 5, 0, 0, 0, 0], [5, 0, 5, 0, 0, 0, 5, 0, 0, 0], [0, 5, 0, 0, 5, 0, 5, 0, 0, 5], [5, 5, 5, 5, 0, 5, 5, 5, 0, 0], [0, 0, 5, 5, 0, 0, 0, 0, 0, 5], [0, 5, 0, 0, 0, 5, 5, 0, 0, 0], [0, 5, 5, 5, 0, 0, 0, 0, 5, 5], [5, 5, 0, 5, 0, 5, 0, 0, 5, 0], [5, 0, 5, 5, 0, 0, 5, 5, 0, 5], [2, 0, 0, 2, 0, 2, 2, 0, 2, 0], [2, 0, 2, 0, 2, 0, 0, 2, 0, 0], [0, 2, 0, 2, 2, 0, 2, 2, 2, 2], [0, 0, 2, 0, 0, 2, 2, 2, 0, 2], [2, 0, 0, 2, 0, 2, 2, 2, 0, 0], [0, 2, 2, 0, 2, 0, 2, 0, 2, 0], [2, 0, 0, 2, 2, 2, 0, 2, 2, 2], [0, 0, 2, 2, 2, 2, 0, 0, 0, 2], [2, 0, 0, 0, 2, 0, 2, 0, 0, 2], [0, 0, 2, 2, 2, 0, 2, 2, 2, 2]] -> [[0, 0, 0, 1, 1, 0, 1, 0, 1, 0], [1, 0, 0, 1, 1, 0, 0, 1, 0, 0], [0, 1, 1, 1, 1, 0, 0, 1, 1, 1], [0, 1, 1, 0, 0, 1, 0, 1, 0, 0], [0, 1, 1, 0, 0, 0, 0, 1, 0, 0], [0, 1, 0, 1, 1, 0, 1, 0, 1, 0], [1, 0, 0, 1, 1, 0, 1, 1, 1, 1], [0, 1, 1, 1, 1, 1, 0, 0, 1, 1], [1, 1, 0, 0, 1, 0, 1, 0, 0, 1], [1, 0, 1, 1, 1, 0, 1, 1, 1, 1]]\n",
+            "Replicate 4": "You must solve the following causal discovery problem, where the cells in an input array are causal parents of cells in an output array. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. You must predict the causal function(s) that relate parent cells in the input to their children in the output. Be concise: do not explain your reasoning, and start your answer with 'The logical operators are'.\nExample input-output arrays:\n[[4, 0, 0, 4, 0, 0, 4, 4, 4, 0], [0, 0, 4, 4, 0, 0, 0, 4, 4, 4], [4, 0, 4, 0, 4, 0, 0, 4, 0, 4], [0, 0, 4, 4, 0, 4, 4, 4, 0, 4], [4, 4, 4, 0, 4, 0, 0, 4, 0, 0], [4, 4, 4, 0, 0, 4, 0, 0, 0, 4], [0, 0, 0, 4, 4, 4, 0, 4, 0, 4], [4, 0, 4, 4, 4, 4, 0, 4, 0, 0], [0, 4, 4, 0, 4, 4, 0, 0, 4, 0], [4, 4, 4, 0, 4, 4, 0, 0, 0, 4], [0, 5, 5, 0, 5, 5, 0, 0, 5, 0], [0, 5, 0, 5, 5, 5, 0, 5, 0, 5], [5, 0, 0, 0, 5, 0, 5, 0, 5, 5], [0, 0, 5, 5, 0, 0, 0, 0, 5, 5], [5, 0, 0, 0, 0, 0, 0, 5, 0, 5], [5, 5, 5, 5, 0, 0, 0, 5, 0, 0], [5, 0, 5, 5, 5, 0, 0, 5, 0, 5], [0, 0, 5, 5, 5, 0, 5, 5, 5, 5], [5, 5, 0, 0, 0, 0, 5, 5, 5, 0], [5, 0, 0, 5, 0, 5, 0, 0, 5, 5], [0, 2, 0, 0, 2, 2, 0, 2, 2, 0], [2, 2, 0, 0, 0, 2, 2, 2, 2, 2], [0, 2, 2, 0, 2, 2, 2, 2, 2, 2], [2, 0, 2, 0, 0, 0, 0, 2, 0, 2], [2, 2, 0, 0, 0, 2, 2, 2, 2, 2], [0, 0, 2, 2, 0, 2, 2, 0, 0, 2], [0, 2, 2, 0, 2, 2, 2, 0, 2, 2], [0, 2, 0, 0, 2, 2, 2, 2, 2, 2], [0, 2, 0, 0, 0, 0, 0, 2, 2, 2], [2, 0, 0, 2, 2, 0, 0, 2, 2, 2]] -> [[0, 1, 0, 0, 1, 1, 0, 1, 0, 0], [1, 1, 0, 1, 0, 1, 1, 0, 1, 0], [1, 1, 1, 0, 0, 1, 1, 1, 1, 0], [1, 0, 0, 1, 0, 0, 0, 1, 0, 0], [0, 1, 0, 0, 0, 1, 1, 0, 1, 1], [1, 1, 0, 1, 0, 1, 1, 0, 0, 1], [0, 1, 1, 1, 0, 1, 1, 1, 1, 0], [0, 1, 1, 1, 0, 1, 1, 0, 1, 1], [0, 0, 0, 0, 0, 0, 0, 1, 0, 1], [0, 0, 0, 1, 1, 1, 0, 1, 1, 0]]\nExample input-output arrays:\n[[4, 4, 4, 4, 0, 0, 0, 4, 4, 4], [0, 0, 0, 4, 0, 0, 4, 4, 4, 0], [4, 0, 0, 4, 4, 4, 0, 4, 4, 0], [0, 0, 0, 0, 4, 0, 0, 0, 0, 4], [4, 0, 0, 0, 0, 4, 0, 4, 4, 0], [0, 0, 4, 4, 0, 0, 0, 4, 4, 0], [4, 0, 4, 0, 0, 4, 4, 4, 0, 0], [0, 4, 0, 0, 0, 0, 0, 4, 4, 0], [0, 0, 0, 0, 4, 0, 4, 0, 0, 4], [4, 0, 4, 0, 4, 4, 0, 4, 4, 4], [0, 0, 5, 0, 5, 5, 5, 5, 5, 5], [5, 0, 0, 0, 0, 5, 5, 5, 0, 0], [5, 0, 5, 5, 0, 0, 5, 0, 0, 5], [5, 0, 0, 5, 5, 0, 0, 5, 0, 5], [5, 0, 0, 5, 5, 0, 5, 0, 5, 0], [5, 0, 5, 5, 0, 0, 5, 5, 5, 5], [0, 5, 0, 5, 0, 5, 0, 5, 0, 0], [0, 5, 5, 0, 5, 5, 0, 0, 5, 0], [5, 0, 5, 5, 0, 5, 0, 0, 0, 5], [0, 0, 0, 5, 0, 5, 0, 5, 5, 5], [0, 0, 2, 2, 2, 2, 0, 0, 2, 2], [0, 2, 2, 0, 2, 2, 2, 0, 2, 2], [2, 2, 2, 2, 2, 0, 0, 0, 0, 0], [0, 2, 0, 0, 0, 0, 2, 0, 0, 2], [2, 0, 0, 0, 0, 0, 0, 0, 0, 2], [0, 2, 0, 0, 0, 0, 2, 2, 2, 2], [2, 0, 2, 0, 2, 0, 2, 0, 2, 0], [0, 0, 2, 2, 0, 2, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 2, 0, 2, 0], [0, 0, 2, 2, 2, 2, 0, 2, 0, 0]] -> [[0, 0, 0, 1, 1, 1, 0, 1, 0, 0], [0, 1, 1, 0, 1, 1, 0, 1, 1, 1], [0, 1, 1, 0, 1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 1, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 1, 1], [0, 1, 1, 1, 0, 0, 1, 0, 0, 1], [1, 0, 1, 0, 1, 1, 1, 1, 1, 0], [0, 1, 1, 1, 0, 1, 0, 0, 1, 0], [0, 1, 1, 0, 0, 0, 1, 0, 1, 1], [0, 0, 1, 1, 1, 0, 0, 0, 1, 1]]\nExample input-output arrays:\n[[4, 0, 4, 4, 0, 4, 0, 0, 4, 0], [0, 0, 4, 0, 0, 4, 4, 4, 0, 4], [0, 0, 0, 4, 0, 4, 4, 4, 4, 4], [4, 4, 0, 4, 4, 4, 0, 0, 0, 4], [4, 0, 0, 4, 4, 0, 4, 4, 4, 0], [0, 0, 4, 4, 4, 0, 0, 4, 0, 4], [0, 4, 0, 4, 4, 0, 0, 4, 0, 4], [0, 0, 4, 0, 4, 0, 4, 4, 0, 4], [4, 4, 0, 4, 4, 0, 0, 4, 0, 4], [4, 0, 0, 4, 4, 4, 0, 0, 4, 4], [0, 5, 5, 0, 0, 0, 0, 0, 5, 5], [5, 5, 0, 0, 5, 5, 0, 0, 0, 0], [0, 0, 5, 0, 0, 0, 5, 0, 5, 0], [5, 5, 0, 0, 0, 5, 5, 0, 0, 0], [0, 0, 5, 5, 0, 5, 5, 0, 5, 5], [5, 5, 0, 0, 5, 0, 5, 5, 5, 5], [5, 0, 0, 5, 5, 5, 0, 0, 5, 0], [0, 0, 5, 0, 5, 5, 5, 0, 5, 0], [5, 0, 5, 5, 5, 0, 0, 0, 0, 0], [0, 0, 5, 5, 5, 5, 0, 0, 0, 0], [2, 2, 0, 2, 0, 2, 0, 0, 0, 0], [0, 2, 2, 0, 2, 2, 2, 0, 0, 2], [2, 0, 0, 2, 0, 0, 0, 0, 0, 2], [0, 0, 2, 2, 2, 0, 2, 2, 0, 2], [0, 0, 0, 2, 0, 2, 2, 2, 2, 2], [0, 0, 0, 2, 2, 0, 0, 2, 2, 0], [0, 2, 2, 0, 0, 2, 2, 0, 2, 2], [2, 0, 2, 2, 0, 2, 2, 2, 0, 0], [0, 2, 0, 0, 0, 0, 2, 2, 2, 2], [2, 2, 0, 0, 2, 2, 2, 0, 2, 2]] -> [[1, 1, 1, 1, 0, 1, 0, 0, 1, 0], [0, 1, 1, 0, 1, 0, 1, 0, 0, 1], [1, 0, 0, 1, 0, 0, 1, 0, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 0, 1], [0, 0, 0, 0, 0, 1, 0, 1, 0, 1], [0, 0, 0, 1, 0, 0, 0, 0, 1, 1], [0, 1, 1, 1, 1, 1, 1, 0, 1, 1], [1, 0, 0, 1, 1, 1, 0, 1, 0, 0], [1, 1, 0, 1, 1, 0, 1, 1, 1, 1], [1, 1, 0, 1, 0, 0, 1, 0, 1, 1]]\nExample input-output arrays:\n[[4, 0, 0, 0, 4, 4, 4, 0, 0, 0], [4, 0, 4, 4, 0, 0, 4, 4, 4, 0], [0, 0, 4, 4, 4, 4, 4, 4, 4, 4], [0, 4, 4, 4, 0, 0, 4, 0, 0, 4], [4, 4, 4, 4, 0, 4, 4, 0, 4, 4], [4, 0, 4, 4, 0, 4, 0, 0, 0, 0], [0, 0, 0, 0, 4, 4, 4, 4, 0, 0], [0, 4, 0, 0, 4, 0, 4, 4, 4, 0], [0, 4, 4, 0, 4, 0, 0, 0, 0, 0], [4, 4, 0, 0, 4, 0, 0, 0, 0, 0], [5, 5, 0, 5, 5, 5, 0, 5, 0, 0], [0, 5, 5, 5, 0, 5, 0, 0, 0, 0], [5, 0, 5, 0, 0, 0, 5, 0, 0, 0], [0, 5, 0, 0, 5, 0, 5, 0, 0, 5], [5, 5, 5, 5, 0, 5, 5, 5, 0, 0], [0, 0, 5, 5, 0, 0, 0, 0, 0, 5], [0, 5, 0, 0, 0, 5, 5, 0, 0, 0], [0, 5, 5, 5, 0, 0, 0, 0, 5, 5], [5, 5, 0, 5, 0, 5, 0, 0, 5, 0], [5, 0, 5, 5, 0, 0, 5, 5, 0, 5], [2, 0, 0, 2, 0, 2, 2, 0, 2, 0], [2, 0, 2, 0, 2, 0, 0, 2, 0, 0], [0, 2, 0, 2, 2, 0, 2, 2, 2, 2], [0, 0, 2, 0, 0, 2, 2, 2, 0, 2], [2, 0, 0, 2, 0, 2, 2, 2, 0, 0], [0, 2, 2, 0, 2, 0, 2, 0, 2, 0], [2, 0, 0, 2, 2, 2, 0, 2, 2, 2], [0, 0, 2, 2, 2, 2, 0, 0, 0, 2], [2, 0, 0, 0, 2, 0, 2, 0, 0, 2], [0, 0, 2, 2, 2, 0, 2, 2, 2, 2]] -> [[0, 0, 0, 1, 1, 0, 1, 0, 1, 0], [1, 0, 0, 1, 1, 0, 0, 1, 0, 0], [0, 1, 1, 1, 1, 0, 0, 1, 1, 1], [0, 1, 1, 0, 0, 1, 0, 1, 0, 0], [0, 1, 1, 0, 0, 0, 0, 1, 0, 0], [0, 1, 0, 1, 1, 0, 1, 0, 1, 0], [1, 0, 0, 1, 1, 0, 1, 1, 1, 1], [0, 1, 1, 1, 1, 1, 0, 0, 1, 1], [1, 1, 0, 0, 1, 0, 1, 0, 0, 1], [1, 0, 1, 1, 1, 0, 1, 1, 1, 1]]\n"
+        },
+        "L3": {
+            "Replicate 0": "You must solve the following causal discovery problem, where the cells in an input array are causal parents of cells in an output array. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. You must predict the causal function(s) that relate parent cells in the input to their children in the output. Be concise: do not explain your reasoning, and start your answer with 'The logical operators are'.\nExample input-output arrays:\n[[0, 4, 0, 0, 0, 4, 4, 0, 0, 0], [0, 4, 4, 0, 4, 0, 0, 4, 4, 4], [0, 0, 0, 0, 0, 4, 4, 4, 4, 4], [4, 4, 0, 4, 0, 0, 0, 4, 0, 0], [4, 0, 0, 4, 0, 0, 0, 4, 0, 0], [0, 4, 0, 4, 0, 4, 0, 0, 4, 0], [0, 4, 0, 0, 0, 4, 4, 0, 4, 4], [4, 4, 4, 0, 4, 4, 4, 0, 0, 4], [0, 4, 4, 0, 0, 4, 0, 4, 4, 4], [4, 4, 4, 0, 0, 0, 0, 4, 0, 4], [5, 0, 5, 5, 5, 5, 5, 0, 5, 0], [5, 5, 5, 5, 0, 5, 0, 0, 0, 5], [0, 0, 0, 0, 0, 0, 0, 5, 5, 5], [0, 0, 0, 0, 5, 5, 0, 0, 5, 0], [0, 0, 0, 0, 0, 5, 5, 5, 5, 5], [5, 5, 5, 0, 0, 0, 5, 0, 0, 5], [0, 0, 0, 5, 0, 5, 0, 0, 0, 5], [5, 5, 0, 0, 0, 0, 0, 5, 5, 0], [5, 5, 5, 0, 5, 0, 5, 0, 0, 5], [0, 5, 5, 0, 5, 0, 5, 0, 5, 5], [2, 0, 0, 2, 0, 0, 0, 2, 0, 2], [2, 2, 0, 2, 2, 2, 2, 2, 2, 2], [2, 0, 0, 0, 0, 2, 0, 0, 2, 0], [2, 2, 2, 0, 2, 0, 0, 2, 0, 2], [2, 2, 0, 0, 0, 0, 2, 0, 2, 0], [2, 2, 2, 0, 2, 0, 2, 2, 0, 0], [0, 2, 0, 0, 0, 2, 2, 0, 2, 0], [2, 0, 0, 2, 2, 0, 0, 2, 2, 0], [0, 2, 0, 0, 2, 2, 2, 2, 2, 0], [0, 2, 0, 2, 0, 2, 0, 2, 2, 2]] -> [[1, 0, 0, 1, 0, 1, 1, 1, 0, 1], [1, 0, 1, 1, 1, 1, 1, 1, 1, 0], [1, 0, 0, 0, 0, 1, 0, 1, 0, 1], [1, 1, 1, 0, 1, 0, 0, 1, 0, 1], [1, 1, 0, 0, 0, 0, 1, 1, 1, 0], [1, 0, 1, 0, 1, 0, 1, 1, 0, 0], [0, 1, 0, 0, 0, 0, 1, 0, 1, 1], [0, 1, 0, 1, 1, 0, 0, 1, 1, 0], [0, 0, 1, 0, 1, 1, 1, 1, 1, 1], [0, 0, 1, 1, 0, 1, 0, 1, 1, 0]]\nCounterfactual: Now imagine that we intervened on the original input by changing some colors.\n[[4, 4, 4, 4, 0, 0, 0, 4, 4, 4], [0, 0, 0, 4, 0, 0, 4, 4, 4, 0], [4, 0, 0, 4, 4, 4, 0, 4, 4, 0], [0, 0, 0, 0, 4, 0, 0, 0, 0, 4], [4, 0, 0, 0, 0, 4, 0, 4, 4, 0], [0, 0, 4, 4, 0, 0, 0, 4, 4, 0], [4, 0, 4, 0, 0, 4, 4, 4, 0, 0], [0, 4, 0, 0, 0, 0, 0, 4, 4, 0], [0, 0, 0, 0, 4, 0, 4, 0, 0, 4], [4, 0, 4, 0, 4, 4, 0, 4, 4, 4], [0, 0, 6, 0, 6, 6, 6, 6, 6, 6], [6, 0, 0, 0, 0, 6, 6, 6, 0, 0], [6, 0, 6, 6, 0, 0, 6, 0, 0, 6], [6, 0, 0, 6, 6, 0, 0, 6, 0, 6], [6, 0, 0, 6, 6, 0, 6, 0, 6, 0], [6, 0, 6, 6, 0, 0, 6, 6, 6, 6], [0, 6, 0, 6, 0, 6, 0, 6, 0, 0], [0, 6, 6, 0, 6, 6, 0, 0, 6, 0], [6, 0, 6, 6, 0, 6, 0, 0, 0, 6], [0, 0, 0, 6, 0, 6, 0, 6, 6, 6], [0, 0, 2, 2, 2, 2, 0, 0, 2, 2], [0, 2, 2, 0, 2, 2, 2, 0, 2, 2], [2, 2, 2, 2, 2, 0, 0, 0, 0, 0], [0, 2, 0, 0, 0, 0, 2, 0, 0, 2], [2, 0, 0, 0, 0, 0, 0, 0, 0, 2], [0, 2, 0, 0, 0, 0, 2, 2, 2, 2], [2, 0, 2, 0, 2, 0, 2, 0, 2, 0], [0, 0, 2, 2, 0, 2, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 2, 0, 2, 0], [0, 0, 2, 2, 2, 2, 0, 2, 0, 0]] -> [[0, 0, 0, 1, 1, 1, 0, 1, 0, 0], [0, 1, 1, 0, 1, 1, 0, 1, 1, 1], [0, 1, 1, 0, 1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 1, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 1, 1], [0, 1, 1, 1, 0, 0, 1, 0, 0, 1], [1, 0, 1, 0, 1, 1, 1, 1, 1, 0], [0, 1, 1, 1, 0, 1, 0, 0, 1, 0], [0, 1, 1, 0, 0, 0, 1, 0, 1, 1], [0, 0, 1, 1, 1, 0, 0, 0, 1, 1]]\nExample input-output arrays:\n[[0, 0, 0, 0, 4, 0, 4, 0, 0, 4], [0, 0, 0, 0, 0, 0, 4, 0, 4, 4], [4, 4, 0, 0, 4, 0, 4, 4, 4, 4], [4, 4, 0, 0, 0, 0, 4, 4, 4, 0], [0, 0, 0, 4, 0, 0, 0, 0, 0, 0], [0, 0, 4, 0, 0, 0, 0, 4, 0, 4], [0, 0, 4, 0, 0, 4, 0, 0, 0, 0], [4, 0, 4, 4, 0, 0, 0, 4, 4, 0], [4, 4, 0, 0, 0, 4, 4, 0, 4, 0], [4, 0, 4, 0, 4, 4, 4, 0, 0, 4], [5, 0, 5, 0, 0, 5, 5, 5, 5, 0], [0, 5, 0, 5, 5, 0, 5, 0, 5, 5], [5, 0, 5, 0, 5, 5, 5, 0, 0, 0], [0, 5, 5, 5, 0, 0, 0, 0, 5, 0], [5, 0, 0, 5, 0, 0, 5, 0, 0, 0], [5, 0, 0, 5, 5, 5, 0, 5, 5, 0], [5, 5, 5, 0, 0, 0, 0, 0, 0, 0], [5, 5, 5, 0, 5, 5, 5, 0, 0, 0], [5, 0, 0, 5, 0, 0, 0, 0, 0, 5], [5, 0, 0, 5, 5, 0, 5, 0, 0, 5], [0, 0, 0, 2, 0, 0, 2, 2, 0, 2], [2, 2, 0, 0, 2, 2, 0, 0, 0, 2], [2, 2, 0, 0, 2, 0, 0, 2, 0, 0], [2, 2, 0, 0, 0, 2, 2, 0, 2, 0], [0, 2, 2, 2, 2, 0, 0, 2, 0, 2], [2, 0, 0, 0, 0, 2, 0, 2, 0, 0], [2, 0, 0, 2, 0, 0, 2, 2, 2, 0], [0, 0, 0, 2, 2, 2, 0, 0, 0, 2], [2, 2, 2, 2, 0, 0, 2, 0, 0, 2], [0, 0, 0, 0, 0, 0, 2, 2, 0, 2]] -> [[0, 0, 0, 1, 0, 0, 0, 1, 0, 1], [1, 1, 0, 0, 1, 1, 1, 0, 1, 0], [0, 1, 0, 0, 0, 0, 1, 1, 0, 0], [1, 0, 0, 0, 0, 1, 1, 0, 0, 0], [0, 1, 1, 0, 1, 0, 0, 1, 0, 1], [1, 0, 0, 0, 0, 1, 0, 0, 0, 0], [1, 0, 1, 1, 0, 0, 1, 1, 1, 0], [1, 0, 1, 1, 1, 1, 0, 0, 0, 1], [0, 1, 1, 1, 0, 0, 1, 0, 0, 1], [1, 0, 0, 0, 1, 0, 0, 1, 0, 0]]\nCounterfactual: Now imagine that we intervened on the original input by fixing some values.\n[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 5, 5, 0, 0, 0, 0, 0, 5, 5], [5, 5, 0, 0, 5, 5, 0, 0, 0, 0], [0, 0, 5, 0, 0, 0, 5, 0, 5, 0], [5, 5, 0, 0, 0, 5, 5, 0, 0, 0], [0, 0, 5, 5, 0, 5, 5, 0, 5, 5], [5, 5, 0, 0, 5, 0, 5, 5, 5, 5], [5, 0, 0, 5, 5, 5, 0, 0, 5, 0], [0, 0, 5, 0, 5, 5, 5, 0, 5, 0], [5, 0, 5, 5, 5, 0, 0, 0, 0, 0], [0, 0, 5, 5, 5, 5, 0, 0, 0, 0], [2, 2, 0, 2, 0, 2, 0, 0, 0, 0], [0, 2, 2, 0, 2, 2, 2, 0, 0, 2], [2, 0, 0, 2, 0, 0, 0, 0, 0, 2], [0, 0, 2, 2, 2, 0, 2, 2, 0, 2], [0, 0, 0, 2, 0, 2, 2, 2, 2, 2], [0, 0, 0, 2, 2, 0, 0, 2, 2, 0], [0, 2, 2, 0, 0, 2, 2, 0, 2, 2], [2, 0, 2, 2, 0, 2, 2, 2, 0, 0], [0, 2, 0, 0, 0, 0, 2, 2, 2, 2], [2, 2, 0, 0, 2, 2, 2, 0, 2, 2]] -> [[1, 0, 1, 1, 0, 1, 0, 0, 1, 1], [1, 0, 1, 0, 0, 0, 1, 0, 0, 1], [1, 0, 1, 1, 0, 0, 1, 0, 1, 1], [1, 1, 1, 1, 1, 1, 0, 1, 0, 1], [0, 0, 1, 0, 0, 0, 0, 1, 0, 0], [1, 1, 0, 1, 0, 0, 1, 0, 0, 1], [1, 1, 1, 1, 1, 0, 1, 0, 0, 1], [1, 0, 0, 1, 1, 0, 0, 1, 1, 0], [1, 1, 1, 1, 1, 0, 1, 1, 1, 1], [1, 1, 1, 1, 0, 0, 1, 0, 1, 1]]\n",
+            "Replicate 1": "You must solve the following causal discovery problem, where the cells in an input array are causal parents of cells in an output array. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. You must predict the causal function(s) that relate parent cells in the input to their children in the output. Be concise: do not explain your reasoning, and start your answer with 'The logical operators are'.\nExample input-output arrays:\n[[4, 4, 4, 4, 0, 0, 0, 4, 4, 4], [0, 0, 0, 4, 0, 0, 4, 4, 4, 0], [4, 0, 0, 4, 4, 4, 0, 4, 4, 0], [0, 0, 0, 0, 4, 0, 0, 0, 0, 4], [4, 0, 0, 0, 0, 4, 0, 4, 4, 0], [0, 0, 4, 4, 0, 0, 0, 4, 4, 0], [4, 0, 4, 0, 0, 4, 4, 4, 0, 0], [0, 4, 0, 0, 0, 0, 0, 4, 4, 0], [0, 0, 0, 0, 4, 0, 4, 0, 0, 4], [4, 0, 4, 0, 4, 4, 0, 4, 4, 4], [0, 0, 5, 0, 5, 5, 5, 5, 5, 5], [5, 0, 0, 0, 0, 5, 5, 5, 0, 0], [5, 0, 5, 5, 0, 0, 5, 0, 0, 5], [5, 0, 0, 5, 5, 0, 0, 5, 0, 5], [5, 0, 0, 5, 5, 0, 5, 0, 5, 0], [5, 0, 5, 5, 0, 0, 5, 5, 5, 5], [0, 5, 0, 5, 0, 5, 0, 5, 0, 0], [0, 5, 5, 0, 5, 5, 0, 0, 5, 0], [5, 0, 5, 5, 0, 5, 0, 0, 0, 5], [0, 0, 0, 5, 0, 5, 0, 5, 5, 5], [0, 0, 2, 2, 2, 2, 0, 0, 2, 2], [0, 2, 2, 0, 2, 2, 2, 0, 2, 2], [2, 2, 2, 2, 2, 0, 0, 0, 0, 0], [0, 2, 0, 0, 0, 0, 2, 0, 0, 2], [2, 0, 0, 0, 0, 0, 0, 0, 0, 2], [0, 2, 0, 0, 0, 0, 2, 2, 2, 2], [2, 0, 2, 0, 2, 0, 2, 0, 2, 0], [0, 0, 2, 2, 0, 2, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 2, 0, 2, 0], [0, 0, 2, 2, 2, 2, 0, 2, 0, 0]] -> [[0, 0, 0, 1, 1, 1, 0, 1, 0, 0], [0, 1, 1, 0, 1, 1, 0, 1, 1, 1], [0, 1, 1, 0, 1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 1, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 1, 1], [0, 1, 1, 1, 0, 0, 1, 0, 0, 1], [1, 0, 1, 0, 1, 1, 1, 1, 1, 0], [0, 1, 1, 1, 0, 1, 0, 0, 1, 0], [0, 1, 1, 0, 0, 0, 1, 0, 1, 1], [0, 0, 1, 1, 1, 0, 0, 0, 1, 1]]\nCounterfactual: Now imagine that we intervened on the original input by fixing some values.\n[[4, 4, 4, 4, 0, 0, 0, 4, 4, 4], [0, 0, 0, 4, 0, 0, 4, 4, 4, 0], [4, 0, 0, 4, 4, 4, 0, 4, 4, 0], [0, 0, 0, 0, 4, 0, 0, 0, 0, 4], [4, 0, 0, 0, 0, 4, 0, 4, 4, 0], [0, 0, 4, 4, 0, 0, 0, 4, 4, 0], [4, 0, 4, 0, 0, 4, 4, 4, 0, 0], [0, 4, 0, 0, 0, 0, 0, 4, 4, 0], [0, 0, 0, 0, 4, 0, 4, 0, 0, 4], [4, 0, 4, 0, 4, 4, 0, 4, 4, 4], [0, 0, 5, 0, 5, 5, 5, 5, 5, 5], [5, 0, 0, 0, 0, 5, 5, 5, 0, 0], [5, 0, 5, 5, 0, 0, 5, 0, 0, 5], [5, 0, 0, 5, 5, 0, 0, 5, 0, 5], [5, 0, 0, 5, 5, 0, 5, 0, 5, 0], [5, 0, 5, 5, 0, 0, 5, 5, 5, 5], [0, 5, 0, 5, 0, 5, 0, 5, 0, 0], [0, 5, 5, 0, 5, 5, 0, 0, 5, 0], [5, 0, 5, 5, 0, 5, 0, 0, 0, 5], [0, 0, 0, 5, 0, 5, 0, 5, 5, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 1, 0, 0, 0, 0, 1, 1, 1], [0, 0, 0, 0, 0, 0, 1, 1, 0, 0], [1, 0, 0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 0, 1], [1, 0, 0, 0, 0, 0, 0, 0, 1, 0], [0, 0, 1, 1, 0, 0, 0, 1, 1, 0], [0, 0, 0, 0, 0, 1, 0, 1, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 1, 0, 1, 1, 1]]\nExample input-output arrays:\n[[4, 0, 0, 0, 4, 4, 4, 0, 0, 0], [4, 0, 4, 4, 0, 0, 4, 4, 4, 0], [0, 0, 4, 4, 4, 4, 4, 4, 4, 4], [0, 4, 4, 4, 0, 0, 4, 0, 0, 4], [4, 4, 4, 4, 0, 4, 4, 0, 4, 4], [4, 0, 4, 4, 0, 4, 0, 0, 0, 0], [0, 0, 0, 0, 4, 4, 4, 4, 0, 0], [0, 4, 0, 0, 4, 0, 4, 4, 4, 0], [0, 4, 4, 0, 4, 0, 0, 0, 0, 0], [4, 4, 0, 0, 4, 0, 0, 0, 0, 0], [5, 5, 0, 5, 5, 5, 0, 5, 0, 0], [0, 5, 5, 5, 0, 5, 0, 0, 0, 0], [5, 0, 5, 0, 0, 0, 5, 0, 0, 0], [0, 5, 0, 0, 5, 0, 5, 0, 0, 5], [5, 5, 5, 5, 0, 5, 5, 5, 0, 0], [0, 0, 5, 5, 0, 0, 0, 0, 0, 5], [0, 5, 0, 0, 0, 5, 5, 0, 0, 0], [0, 5, 5, 5, 0, 0, 0, 0, 5, 5], [5, 5, 0, 5, 0, 5, 0, 0, 5, 0], [5, 0, 5, 5, 0, 0, 5, 5, 0, 5], [2, 0, 0, 2, 0, 2, 2, 0, 2, 0], [2, 0, 2, 0, 2, 0, 0, 2, 0, 0], [0, 2, 0, 2, 2, 0, 2, 2, 2, 2], [0, 0, 2, 0, 0, 2, 2, 2, 0, 2], [2, 0, 0, 2, 0, 2, 2, 2, 0, 0], [0, 2, 2, 0, 2, 0, 2, 0, 2, 0], [2, 0, 0, 2, 2, 2, 0, 2, 2, 2], [0, 0, 2, 2, 2, 2, 0, 0, 0, 2], [2, 0, 0, 0, 2, 0, 2, 0, 0, 2], [0, 0, 2, 2, 2, 0, 2, 2, 2, 2]] -> [[0, 0, 0, 1, 1, 0, 1, 0, 1, 0], [1, 0, 0, 1, 1, 0, 0, 1, 0, 0], [0, 1, 1, 1, 1, 0, 0, 1, 1, 1], [0, 1, 1, 0, 0, 1, 0, 1, 0, 0], [0, 1, 1, 0, 0, 0, 0, 1, 0, 0], [0, 1, 0, 1, 1, 0, 1, 0, 1, 0], [1, 0, 0, 1, 1, 0, 1, 1, 1, 1], [0, 1, 1, 1, 1, 1, 0, 0, 1, 1], [1, 1, 0, 0, 1, 0, 1, 0, 0, 1], [1, 0, 1, 1, 1, 0, 1, 1, 1, 1]]\nCounterfactual: Now imagine that we intervened on the original input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 5, 5, 0, 0, 0, 0, 0, 5, 5], [5, 5, 0, 0, 5, 5, 0, 0, 0, 0], [0, 0, 5, 0, 0, 0, 5, 0, 5, 0], [5, 5, 0, 0, 0, 5, 5, 0, 0, 0], [0, 0, 5, 5, 0, 5, 5, 0, 5, 5], [5, 5, 0, 0, 5, 0, 5, 5, 5, 5], [5, 0, 0, 5, 5, 5, 0, 0, 5, 0], [0, 0, 5, 0, 5, 5, 5, 0, 5, 0], [5, 0, 5, 5, 5, 0, 0, 0, 0, 0], [0, 0, 5, 5, 5, 5, 0, 0, 0, 0], [2, 2, 0, 2, 0, 2, 0, 0, 0, 0], [0, 2, 2, 0, 2, 2, 2, 0, 0, 2], [2, 0, 0, 2, 0, 0, 0, 0, 0, 2], [0, 0, 2, 2, 2, 0, 2, 2, 0, 2], [0, 0, 0, 2, 0, 2, 2, 2, 2, 2], [0, 0, 0, 2, 2, 0, 0, 2, 2, 0], [0, 2, 2, 0, 0, 2, 2, 0, 2, 2], [2, 0, 2, 2, 0, 2, 2, 2, 0, 0], [0, 2, 0, 0, 0, 0, 2, 2, 2, 2], [2, 2, 0, 0, 2, 2, 2, 0, 2, 2]] -> [[1, 1, 0, 1, 0, 1, 0, 0, 0, 0], [0, 1, 1, 0, 1, 1, 1, 0, 0, 1], [1, 0, 0, 1, 0, 0, 0, 0, 0, 1], [0, 0, 1, 1, 1, 0, 1, 1, 0, 1], [0, 0, 0, 1, 0, 1, 1, 1, 1, 1], [0, 0, 0, 1, 1, 0, 0, 1, 1, 0], [0, 1, 1, 0, 0, 1, 1, 0, 1, 1], [1, 0, 1, 1, 0, 1, 1, 1, 0, 0], [0, 1, 0, 0, 0, 0, 1, 1, 1, 1], [1, 1, 0, 0, 1, 1, 1, 0, 1, 1]]\n",
+            "Replicate 2": "You must solve the following causal discovery problem, where the cells in an input array are causal parents of cells in an output array. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. You must predict the causal function(s) that relate parent cells in the input to their children in the output. Be concise: do not explain your reasoning, and start your answer with 'The logical operators are'.\nExample input-output arrays:\n[[4, 4, 4, 4, 0, 0, 0, 4, 4, 4], [0, 0, 0, 4, 0, 0, 4, 4, 4, 0], [4, 0, 0, 4, 4, 4, 0, 4, 4, 0], [0, 0, 0, 0, 4, 0, 0, 0, 0, 4], [4, 0, 0, 0, 0, 4, 0, 4, 4, 0], [0, 0, 4, 4, 0, 0, 0, 4, 4, 0], [4, 0, 4, 0, 0, 4, 4, 4, 0, 0], [0, 4, 0, 0, 0, 0, 0, 4, 4, 0], [0, 0, 0, 0, 4, 0, 4, 0, 0, 4], [4, 0, 4, 0, 4, 4, 0, 4, 4, 4], [0, 0, 5, 0, 5, 5, 5, 5, 5, 5], [5, 0, 0, 0, 0, 5, 5, 5, 0, 0], [5, 0, 5, 5, 0, 0, 5, 0, 0, 5], [5, 0, 0, 5, 5, 0, 0, 5, 0, 5], [5, 0, 0, 5, 5, 0, 5, 0, 5, 0], [5, 0, 5, 5, 0, 0, 5, 5, 5, 5], [0, 5, 0, 5, 0, 5, 0, 5, 0, 0], [0, 5, 5, 0, 5, 5, 0, 0, 5, 0], [5, 0, 5, 5, 0, 5, 0, 0, 0, 5], [0, 0, 0, 5, 0, 5, 0, 5, 5, 5], [0, 0, 2, 2, 2, 2, 0, 0, 2, 2], [0, 2, 2, 0, 2, 2, 2, 0, 2, 2], [2, 2, 2, 2, 2, 0, 0, 0, 0, 0], [0, 2, 0, 0, 0, 0, 2, 0, 0, 2], [2, 0, 0, 0, 0, 0, 0, 0, 0, 2], [0, 2, 0, 0, 0, 0, 2, 2, 2, 2], [2, 0, 2, 0, 2, 0, 2, 0, 2, 0], [0, 0, 2, 2, 0, 2, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 2, 0, 2, 0], [0, 0, 2, 2, 2, 2, 0, 2, 0, 0]] -> [[0, 0, 0, 1, 1, 1, 0, 1, 0, 0], [0, 1, 1, 0, 1, 1, 0, 1, 1, 1], [0, 1, 1, 0, 1, 0, 0, 0, 0, 0], [0, 1, 0, 0, 1, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 1, 1], [0, 1, 1, 1, 0, 0, 1, 0, 0, 1], [1, 0, 1, 0, 1, 1, 1, 1, 1, 0], [0, 1, 1, 1, 0, 1, 0, 0, 1, 0], [0, 1, 1, 0, 0, 0, 1, 0, 1, 1], [0, 0, 1, 1, 1, 0, 0, 0, 1, 1]]\nCounterfactual: Now imagine that we intervened on the original input by fixing some values.\n[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 5, 0, 5, 5, 5, 5, 5, 5], [5, 0, 0, 0, 0, 5, 5, 5, 0, 0], [5, 0, 5, 5, 0, 0, 5, 0, 0, 5], [5, 0, 0, 5, 5, 0, 0, 5, 0, 5], [5, 0, 0, 5, 5, 0, 5, 0, 5, 0], [5, 0, 5, 5, 0, 0, 5, 5, 5, 5], [0, 5, 0, 5, 0, 5, 0, 5, 0, 0], [0, 5, 5, 0, 5, 5, 0, 0, 5, 0], [5, 0, 5, 5, 0, 5, 0, 0, 0, 5], [0, 0, 0, 5, 0, 5, 0, 5, 5, 5], [0, 0, 2, 2, 2, 2, 0, 0, 2, 2], [0, 2, 2, 0, 2, 2, 2, 0, 2, 2], [2, 2, 2, 2, 2, 0, 0, 0, 0, 0], [0, 2, 0, 0, 0, 0, 2, 0, 0, 2], [2, 0, 0, 0, 0, 0, 0, 0, 0, 2], [0, 2, 0, 0, 0, 0, 2, 2, 2, 2], [2, 0, 2, 0, 2, 0, 2, 0, 2, 0], [0, 0, 2, 2, 0, 2, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 2, 0, 2, 0], [0, 0, 2, 2, 2, 2, 0, 2, 0, 0]] -> [[0, 0, 0, 1, 0, 0, 1, 1, 0, 0], [1, 1, 1, 0, 1, 0, 0, 1, 1, 1], [0, 1, 0, 0, 1, 0, 1, 0, 0, 1], [1, 1, 0, 1, 1, 0, 1, 1, 0, 0], [0, 0, 0, 1, 1, 0, 1, 0, 1, 1], [1, 1, 1, 1, 0, 0, 0, 0, 0, 0], [1, 1, 1, 1, 1, 1, 1, 1, 1, 0], [0, 1, 0, 1, 1, 0, 0, 0, 1, 0], [1, 1, 0, 1, 0, 1, 1, 0, 1, 1], [0, 0, 1, 0, 1, 0, 0, 0, 1, 1]]\nExample input-output arrays:\n[[0, 0, 0, 0, 4, 0, 4, 0, 0, 4], [0, 0, 0, 0, 0, 0, 4, 0, 4, 4], [4, 4, 0, 0, 4, 0, 4, 4, 4, 4], [4, 4, 0, 0, 0, 0, 4, 4, 4, 0], [0, 0, 0, 4, 0, 0, 0, 0, 0, 0], [0, 0, 4, 0, 0, 0, 0, 4, 0, 4], [0, 0, 4, 0, 0, 4, 0, 0, 0, 0], [4, 0, 4, 4, 0, 0, 0, 4, 4, 0], [4, 4, 0, 0, 0, 4, 4, 0, 4, 0], [4, 0, 4, 0, 4, 4, 4, 0, 0, 4], [5, 0, 5, 0, 0, 5, 5, 5, 5, 0], [0, 5, 0, 5, 5, 0, 5, 0, 5, 5], [5, 0, 5, 0, 5, 5, 5, 0, 0, 0], [0, 5, 5, 5, 0, 0, 0, 0, 5, 0], [5, 0, 0, 5, 0, 0, 5, 0, 0, 0], [5, 0, 0, 5, 5, 5, 0, 5, 5, 0], [5, 5, 5, 0, 0, 0, 0, 0, 0, 0], [5, 5, 5, 0, 5, 5, 5, 0, 0, 0], [5, 0, 0, 5, 0, 0, 0, 0, 0, 5], [5, 0, 0, 5, 5, 0, 5, 0, 0, 5], [0, 0, 0, 2, 0, 0, 2, 2, 0, 2], [2, 2, 0, 0, 2, 2, 0, 0, 0, 2], [2, 2, 0, 0, 2, 0, 0, 2, 0, 0], [2, 2, 0, 0, 0, 2, 2, 0, 2, 0], [0, 2, 2, 2, 2, 0, 0, 2, 0, 2], [2, 0, 0, 0, 0, 2, 0, 2, 0, 0], [2, 0, 0, 2, 0, 0, 2, 2, 2, 0], [0, 0, 0, 2, 2, 2, 0, 0, 0, 2], [2, 2, 2, 2, 0, 0, 2, 0, 0, 2], [0, 0, 0, 0, 0, 0, 2, 2, 0, 2]] -> [[0, 0, 0, 1, 0, 0, 0, 1, 0, 1], [1, 1, 0, 0, 1, 1, 1, 0, 1, 0], [0, 1, 0, 0, 0, 0, 1, 1, 0, 0], [1, 0, 0, 0, 0, 1, 1, 0, 0, 0], [0, 1, 1, 0, 1, 0, 0, 1, 0, 1], [1, 0, 0, 0, 0, 1, 0, 0, 0, 0], [1, 0, 1, 1, 0, 0, 1, 1, 1, 0], [1, 0, 1, 1, 1, 1, 0, 0, 0, 1], [0, 1, 1, 1, 0, 0, 1, 0, 0, 1], [1, 0, 0, 0, 1, 0, 0, 1, 0, 0]]\nCounterfactual: Now imagine that we intervened on the original input by fixing some values.\n[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 5, 5, 0, 0, 0, 0, 0, 5, 5], [5, 5, 0, 0, 5, 5, 0, 0, 0, 0], [0, 0, 5, 0, 0, 0, 5, 0, 5, 0], [5, 5, 0, 0, 0, 5, 5, 0, 0, 0], [0, 0, 5, 5, 0, 5, 5, 0, 5, 5], [5, 5, 0, 0, 5, 0, 5, 5, 5, 5], [5, 0, 0, 5, 5, 5, 0, 0, 5, 0], [0, 0, 5, 0, 5, 5, 5, 0, 5, 0], [5, 0, 5, 5, 5, 0, 0, 0, 0, 0], [0, 0, 5, 5, 5, 5, 0, 0, 0, 0], [2, 2, 0, 2, 0, 2, 0, 0, 0, 0], [0, 2, 2, 0, 2, 2, 2, 0, 0, 2], [2, 0, 0, 2, 0, 0, 0, 0, 0, 2], [0, 0, 2, 2, 2, 0, 2, 2, 0, 2], [0, 0, 0, 2, 0, 2, 2, 2, 2, 2], [0, 0, 0, 2, 2, 0, 0, 2, 2, 0], [0, 2, 2, 0, 0, 2, 2, 0, 2, 2], [2, 0, 2, 2, 0, 2, 2, 2, 0, 0], [0, 2, 0, 0, 0, 0, 2, 2, 2, 2], [2, 2, 0, 0, 2, 2, 2, 0, 2, 2]] -> [[1, 0, 1, 1, 0, 1, 0, 0, 1, 1], [1, 0, 1, 0, 0, 0, 1, 0, 0, 1], [1, 0, 1, 1, 0, 0, 1, 0, 1, 1], [1, 1, 1, 1, 1, 1, 0, 1, 0, 1], [0, 0, 1, 0, 0, 0, 0, 1, 0, 0], [1, 1, 0, 1, 0, 0, 1, 0, 0, 1], [1, 1, 1, 1, 1, 0, 1, 0, 0, 1], [1, 0, 0, 1, 1, 0, 0, 1, 1, 0], [1, 1, 1, 1, 1, 0, 1, 1, 1, 1], [1, 1, 1, 1, 0, 0, 1, 0, 1, 1]]\n",
+            "Replicate 3": "You must solve the following causal discovery problem, where the cells in an input array are causal parents of cells in an output array. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. You must predict the causal function(s) that relate parent cells in the input to their children in the output. Be concise: do not explain your reasoning, and start your answer with 'The logical operators are'.\nExample input-output arrays:\n[[4, 0, 4, 0, 0, 4, 4, 4, 4, 0], [4, 4, 0, 4, 4, 4, 0, 4, 0, 0], [0, 0, 4, 0, 0, 0, 4, 4, 4, 0], [4, 4, 4, 0, 4, 4, 0, 0, 0, 0], [4, 4, 0, 0, 4, 0, 0, 4, 4, 0], [0, 0, 4, 4, 4, 0, 0, 4, 4, 4], [0, 4, 4, 0, 4, 4, 4, 4, 4, 0], [4, 0, 4, 4, 0, 0, 0, 4, 0, 0], [4, 4, 4, 4, 0, 4, 0, 4, 0, 4], [4, 4, 0, 4, 4, 0, 0, 0, 0, 4], [0, 5, 0, 5, 0, 0, 5, 5, 5, 0], [0, 0, 5, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 5, 5, 5, 5], [5, 0, 0, 5, 5, 5, 5, 0, 5, 5], [5, 0, 0, 5, 0, 5, 0, 0, 0, 0], [0, 5, 0, 5, 5, 0, 5, 0, 5, 5], [0, 0, 5, 0, 0, 5, 0, 5, 5, 5], [5, 0, 5, 0, 0, 0, 5, 5, 0, 0], [0, 0, 5, 5, 0, 0, 0, 0, 0, 0], [0, 5, 5, 5, 0, 5, 0, 0, 0, 5], [2, 0, 0, 0, 2, 0, 2, 0, 0, 2], [2, 0, 2, 2, 2, 2, 0, 0, 0, 0], [2, 0, 2, 2, 0, 2, 2, 0, 2, 2], [2, 0, 0, 2, 2, 0, 0, 2, 2, 0], [0, 0, 2, 2, 2, 2, 2, 2, 0, 0], [0, 2, 2, 2, 2, 0, 2, 0, 0, 0], [0, 0, 2, 0, 2, 0, 0, 2, 2, 0], [0, 0, 0, 2, 2, 0, 0, 2, 2, 2], [2, 2, 0, 0, 2, 2, 0, 0, 2, 2], [0, 2, 0, 2, 0, 0, 0, 2, 2, 2]] -> [[1, 0, 0, 0, 1, 0, 0, 1, 1, 1], [1, 0, 1, 1, 0, 1, 0, 0, 0, 0], [1, 0, 1, 1, 0, 1, 0, 1, 0, 1], [0, 0, 0, 1, 0, 1, 0, 1, 1, 0], [1, 0, 1, 1, 1, 1, 1, 1, 0, 0], [0, 1, 1, 0, 0, 0, 1, 0, 1, 1], [0, 0, 0, 0, 1, 1, 0, 0, 0, 0], [1, 0, 1, 1, 1, 0, 0, 0, 1, 1], [1, 1, 1, 1, 1, 1, 0, 0, 1, 1], [0, 0, 0, 0, 0, 0, 0, 1, 1, 0]]\nCounterfactual: Now imagine that we intervened on the original input by changing the causal function for some elements.\n[[4, 4, 4, 4, 0, 0, 0, 4, 4, 4], [0, 0, 0, 4, 0, 0, 4, 4, 4, 0], [4, 0, 0, 4, 4, 4, 0, 4, 4, 0], [0, 0, 0, 0, 4, 0, 0, 0, 0, 4], [4, 0, 0, 0, 0, 4, 0, 4, 4, 0], [0, 0, 4, 4, 0, 0, 0, 4, 4, 0], [4, 0, 4, 0, 0, 4, 4, 4, 0, 0], [0, 4, 0, 0, 0, 0, 0, 4, 4, 0], [0, 0, 0, 0, 4, 0, 4, 0, 0, 4], [4, 0, 4, 0, 4, 4, 0, 4, 4, 4], [5, 5, 0, 5, 0, 0, 0, 0, 0, 0], [0, 5, 5, 5, 5, 0, 0, 0, 5, 5], [0, 5, 0, 0, 5, 5, 0, 5, 5, 0], [0, 5, 5, 0, 0, 5, 5, 0, 5, 0], [0, 5, 5, 0, 0, 5, 0, 5, 0, 5], [0, 5, 0, 0, 5, 5, 0, 0, 0, 0], [5, 0, 5, 0, 5, 0, 5, 0, 5, 5], [5, 0, 0, 5, 0, 0, 5, 5, 0, 5], [0, 5, 0, 0, 5, 0, 5, 5, 5, 0], [5, 5, 5, 0, 5, 0, 5, 0, 0, 0], [0, 0, 2, 2, 2, 2, 0, 0, 2, 2], [0, 2, 2, 0, 2, 2, 2, 0, 2, 2], [2, 2, 2, 2, 2, 0, 0, 0, 0, 0], [0, 2, 0, 0, 0, 0, 2, 0, 0, 2], [2, 0, 0, 0, 0, 0, 0, 0, 0, 2], [0, 2, 0, 0, 0, 0, 2, 2, 2, 2], [2, 0, 2, 0, 2, 0, 2, 0, 2, 0], [0, 0, 2, 2, 0, 2, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 2, 0, 2, 0], [0, 0, 2, 2, 2, 2, 0, 2, 0, 0]] -> [[1, 1, 1, 0, 1, 1, 0, 0, 1, 1], [0, 1, 1, 1, 1, 1, 1, 0, 0, 1], [1, 1, 1, 1, 0, 1, 0, 1, 1, 0], [0, 1, 0, 0, 0, 0, 1, 0, 0, 1], [1, 0, 0, 0, 0, 1, 0, 1, 0, 1], [0, 1, 0, 0, 0, 0, 1, 1, 1, 1], [0, 0, 0, 0, 1, 0, 0, 0, 1, 0], [0, 0, 1, 1, 0, 1, 0, 1, 0, 0], [0, 1, 1, 0, 1, 0, 0, 0, 1, 0], [1, 0, 0, 1, 0, 1, 0, 1, 0, 0]]\nExample input-output arrays:\n[[0, 4, 0, 0, 0, 4, 4, 0, 0, 0], [0, 4, 4, 0, 4, 0, 0, 4, 4, 4], [0, 0, 0, 0, 0, 4, 4, 4, 4, 4], [4, 4, 0, 4, 0, 0, 0, 4, 0, 0], [4, 0, 0, 4, 0, 0, 0, 4, 0, 0], [0, 4, 0, 4, 0, 4, 0, 0, 4, 0], [0, 4, 0, 0, 0, 4, 4, 0, 4, 4], [4, 4, 4, 0, 4, 4, 4, 0, 0, 4], [0, 4, 4, 0, 0, 4, 0, 4, 4, 4], [4, 4, 4, 0, 0, 0, 0, 4, 0, 4], [5, 0, 5, 5, 5, 5, 5, 0, 5, 0], [5, 5, 5, 5, 0, 5, 0, 0, 0, 5], [0, 0, 0, 0, 0, 0, 0, 5, 5, 5], [0, 0, 0, 0, 5, 5, 0, 0, 5, 0], [0, 0, 0, 0, 0, 5, 5, 5, 5, 5], [5, 5, 5, 0, 0, 0, 5, 0, 0, 5], [0, 0, 0, 5, 0, 5, 0, 0, 0, 5], [5, 5, 0, 0, 0, 0, 0, 5, 5, 0], [5, 5, 5, 0, 5, 0, 5, 0, 0, 5], [0, 5, 5, 0, 5, 0, 5, 0, 5, 5], [2, 0, 0, 2, 0, 0, 0, 2, 0, 2], [2, 2, 0, 2, 2, 2, 2, 2, 2, 2], [2, 0, 0, 0, 0, 2, 0, 0, 2, 0], [2, 2, 2, 0, 2, 0, 0, 2, 0, 2], [2, 2, 0, 0, 0, 0, 2, 0, 2, 0], [2, 2, 2, 0, 2, 0, 2, 2, 0, 0], [0, 2, 0, 0, 0, 2, 2, 0, 2, 0], [2, 0, 0, 2, 2, 0, 0, 2, 2, 0], [0, 2, 0, 0, 2, 2, 2, 2, 2, 0], [0, 2, 0, 2, 0, 2, 0, 2, 2, 2]] -> [[1, 0, 0, 1, 0, 1, 1, 1, 0, 1], [1, 0, 1, 1, 1, 1, 1, 1, 1, 0], [1, 0, 0, 0, 0, 1, 0, 1, 0, 1], [1, 1, 1, 0, 1, 0, 0, 1, 0, 1], [1, 1, 0, 0, 0, 0, 1, 1, 1, 0], [1, 0, 1, 0, 1, 0, 1, 1, 0, 0], [0, 1, 0, 0, 0, 0, 1, 0, 1, 1], [0, 1, 0, 1, 1, 0, 0, 1, 1, 0], [0, 0, 1, 0, 1, 1, 1, 1, 1, 1], [0, 0, 1, 1, 0, 1, 0, 1, 1, 0]]\nCounterfactual: Now imagine that we intervened on the original input by changing some colors.\n[[4, 0, 4, 4, 0, 4, 0, 0, 4, 0], [0, 0, 4, 0, 0, 4, 4, 4, 0, 4], [0, 0, 0, 4, 0, 4, 4, 4, 4, 4], [4, 4, 0, 4, 4, 4, 0, 0, 0, 4], [4, 0, 0, 4, 4, 0, 4, 4, 4, 0], [0, 0, 4, 4, 4, 0, 0, 4, 0, 4], [0, 4, 0, 4, 4, 0, 0, 4, 0, 4], [0, 0, 4, 0, 4, 0, 4, 4, 0, 4], [4, 4, 0, 4, 4, 0, 0, 4, 0, 4], [4, 0, 0, 4, 4, 4, 0, 0, 4, 4], [0, 7, 7, 0, 0, 0, 0, 0, 7, 7], [7, 7, 0, 0, 7, 7, 0, 0, 0, 0], [0, 0, 7, 0, 0, 0, 7, 0, 7, 0], [7, 7, 0, 0, 0, 7, 7, 0, 0, 0], [0, 0, 7, 7, 0, 7, 7, 0, 7, 7], [7, 7, 0, 0, 7, 0, 7, 7, 7, 7], [7, 0, 0, 7, 7, 7, 0, 0, 7, 0], [0, 0, 7, 0, 7, 7, 7, 0, 7, 0], [7, 0, 7, 7, 7, 0, 0, 0, 0, 0], [0, 0, 7, 7, 7, 7, 0, 0, 0, 0], [2, 2, 0, 2, 0, 2, 0, 0, 0, 0], [0, 2, 2, 0, 2, 2, 2, 0, 0, 2], [2, 0, 0, 2, 0, 0, 0, 0, 0, 2], [0, 0, 2, 2, 2, 0, 2, 2, 0, 2], [0, 0, 0, 2, 0, 2, 2, 2, 2, 2], [0, 0, 0, 2, 2, 0, 0, 2, 2, 0], [0, 2, 2, 0, 0, 2, 2, 0, 2, 2], [2, 0, 2, 2, 0, 2, 2, 2, 0, 0], [0, 2, 0, 0, 0, 0, 2, 2, 2, 2], [2, 2, 0, 0, 2, 2, 2, 0, 2, 2]] -> [[1, 1, 1, 1, 0, 1, 0, 0, 1, 0], [0, 1, 1, 0, 1, 0, 1, 0, 0, 1], [1, 0, 0, 1, 0, 0, 1, 0, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 0, 1], [0, 0, 0, 0, 0, 1, 0, 1, 0, 1], [0, 0, 0, 1, 0, 0, 0, 0, 1, 1], [0, 1, 1, 1, 1, 1, 1, 0, 1, 1], [1, 0, 0, 1, 1, 1, 0, 1, 0, 0], [1, 1, 0, 1, 1, 0, 1, 1, 1, 1], [1, 1, 0, 1, 0, 0, 1, 0, 1, 1]]\n",
+            "Replicate 4": "You must solve the following causal discovery problem, where the cells in an input array are causal parents of cells in an output array. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. You must predict the causal function(s) that relate parent cells in the input to their children in the output. Be concise: do not explain your reasoning, and start your answer with 'The logical operators are'.\nExample input-output arrays:\n[[0, 4, 4, 4, 0, 4, 4, 0, 4, 4], [0, 4, 4, 4, 0, 0, 4, 4, 4, 4], [0, 4, 0, 4, 4, 0, 0, 4, 4, 0], [0, 0, 0, 0, 0, 4, 0, 0, 0, 4], [0, 4, 4, 0, 0, 4, 0, 4, 4, 4], [0, 4, 0, 4, 4, 4, 4, 0, 0, 0], [0, 0, 0, 0, 4, 4, 4, 0, 0, 0], [0, 0, 0, 4, 0, 0, 0, 4, 0, 0], [0, 4, 0, 0, 4, 0, 4, 4, 0, 0], [4, 0, 4, 4, 4, 0, 4, 4, 0, 4], [0, 0, 0, 5, 5, 5, 0, 0, 5, 5], [0, 5, 0, 5, 0, 5, 0, 5, 0, 5], [0, 5, 5, 5, 5, 5, 0, 5, 0, 0], [0, 5, 5, 0, 0, 0, 5, 0, 5, 5], [0, 0, 5, 0, 5, 5, 5, 5, 0, 0], [0, 0, 5, 0, 5, 0, 5, 5, 5, 5], [5, 5, 5, 0, 0, 0, 0, 0, 5, 5], [5, 5, 0, 0, 5, 0, 5, 0, 5, 5], [0, 0, 5, 0, 0, 0, 0, 5, 5, 0], [5, 5, 5, 0, 5, 0, 0, 5, 5, 5], [0, 0, 2, 0, 0, 2, 0, 0, 0, 0], [2, 2, 2, 2, 0, 2, 2, 0, 0, 2], [0, 0, 2, 0, 0, 2, 0, 2, 2, 2], [2, 0, 0, 2, 2, 0, 2, 0, 2, 2], [0, 2, 2, 2, 0, 2, 0, 2, 2, 2], [0, 2, 0, 0, 2, 2, 2, 2, 0, 0], [2, 0, 0, 0, 0, 0, 0, 2, 0, 2], [2, 2, 0, 2, 0, 2, 2, 2, 0, 2], [2, 0, 0, 2, 0, 0, 0, 2, 2, 2], [2, 0, 0, 2, 2, 0, 0, 2, 2, 0]] -> [[0, 0, 1, 1, 0, 0, 0, 0, 1, 1], [1, 0, 1, 0, 0, 1, 1, 1, 0, 0], [0, 1, 1, 1, 1, 1, 0, 0, 1, 1], [1, 0, 0, 1, 1, 0, 1, 0, 1, 0], [0, 1, 0, 1, 0, 0, 0, 0, 1, 1], [0, 1, 0, 0, 0, 1, 0, 1, 0, 0], [1, 0, 0, 0, 0, 0, 0, 1, 0, 1], [1, 1, 0, 1, 0, 1, 1, 1, 0, 1], [1, 0, 0, 1, 0, 0, 0, 0, 1, 1], [0, 0, 1, 1, 0, 0, 0, 0, 1, 1]]\nCounterfactual: Now imagine that we intervened on the original input by fixing some values.\n[[4, 4, 4, 4, 0, 0, 0, 4, 4, 4], [0, 0, 0, 4, 0, 0, 4, 4, 4, 0], [4, 0, 0, 4, 4, 4, 0, 4, 4, 0], [0, 0, 0, 0, 4, 0, 0, 0, 0, 4], [4, 0, 0, 0, 0, 4, 0, 4, 4, 0], [0, 0, 4, 4, 0, 0, 0, 4, 4, 0], [4, 0, 4, 0, 0, 4, 4, 4, 0, 0], [0, 4, 0, 0, 0, 0, 0, 4, 4, 0], [0, 0, 0, 0, 4, 0, 4, 0, 0, 4], [4, 0, 4, 0, 4, 4, 0, 4, 4, 4], [0, 0, 5, 0, 5, 5, 5, 5, 5, 5], [5, 0, 0, 0, 0, 5, 5, 5, 0, 0], [5, 0, 5, 5, 0, 0, 5, 0, 0, 5], [5, 0, 0, 5, 5, 0, 0, 5, 0, 5], [5, 0, 0, 5, 5, 0, 5, 0, 5, 0], [5, 0, 5, 5, 0, 0, 5, 5, 5, 5], [0, 5, 0, 5, 0, 5, 0, 5, 0, 0], [0, 5, 5, 0, 5, 5, 0, 0, 5, 0], [5, 0, 5, 5, 0, 5, 0, 0, 0, 5], [0, 0, 0, 5, 0, 5, 0, 5, 5, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 1, 0, 0, 0, 0, 1, 1, 1], [0, 0, 0, 0, 0, 0, 1, 1, 0, 0], [1, 0, 0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 0, 1], [1, 0, 0, 0, 0, 0, 0, 0, 1, 0], [0, 0, 1, 1, 0, 0, 0, 1, 1, 0], [0, 0, 0, 0, 0, 1, 0, 1, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 1, 0, 1, 1, 1]]\nExample input-output arrays:\n[[4, 0, 4, 0, 4, 0, 4, 0, 4, 0], [0, 4, 4, 4, 4, 0, 0, 4, 4, 4], [4, 4, 4, 4, 0, 4, 0, 0, 0, 0], [4, 4, 4, 0, 4, 0, 4, 4, 4, 0], [4, 0, 4, 4, 0, 0, 0, 4, 0, 0], [4, 0, 4, 4, 4, 0, 0, 4, 4, 4], [4, 4, 0, 0, 4, 0, 4, 0, 0, 0], [0, 0, 4, 4, 4, 0, 0, 4, 0, 0], [4, 4, 4, 4, 4, 4, 0, 0, 4, 0], [4, 0, 4, 4, 4, 4, 0, 0, 4, 4], [0, 0, 5, 5, 0, 0, 5, 0, 0, 0], [0, 0, 0, 5, 0, 0, 5, 5, 5, 0], [0, 5, 5, 5, 5, 0, 5, 0, 5, 0], [5, 5, 0, 0, 0, 5, 0, 0, 5, 5], [5, 5, 5, 0, 0, 5, 0, 5, 5, 0], [5, 0, 0, 0, 0, 5, 0, 0, 0, 0], [5, 5, 5, 0, 5, 5, 5, 0, 0, 5], [5, 0, 5, 5, 0, 0, 5, 0, 5, 0], [5, 5, 5, 5, 5, 5, 0, 0, 5, 5], [5, 0, 0, 5, 5, 0, 0, 0, 0, 5], [2, 0, 0, 0, 0, 2, 2, 2, 2, 2], [0, 0, 2, 2, 2, 0, 2, 0, 2, 2], [0, 0, 0, 0, 2, 2, 2, 2, 2, 2], [2, 2, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [2, 2, 0, 0, 2, 2, 0, 2, 2, 0], [2, 2, 2, 0, 0, 2, 2, 2, 2, 2], [2, 0, 2, 0, 0, 2, 2, 0, 2, 2], [2, 2, 2, 0, 0, 2, 0, 2, 0, 0], [0, 0, 0, 2, 2, 2, 0, 0, 0, 0]] -> [[1, 0, 1, 0, 0, 1, 0, 1, 1, 1], [0, 0, 1, 0, 1, 0, 1, 1, 0, 1], [0, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 1, 0], [1, 0, 1, 0, 0, 1, 0, 1, 0, 0], [0, 1, 0, 0, 1, 1, 0, 1, 1, 0], [0, 0, 1, 0, 1, 1, 0, 1, 1, 1], [1, 0, 0, 1, 0, 1, 1, 0, 1, 1], [0, 0, 0, 1, 1, 0, 0, 1, 1, 0], [1, 0, 0, 0, 0, 1, 0, 0, 0, 1]]\nCounterfactual: Now imagine that we intervened on the original input by changing some colors.\n[[4, 0, 4, 4, 0, 4, 0, 0, 4, 0], [0, 0, 4, 0, 0, 4, 4, 4, 0, 4], [0, 0, 0, 4, 0, 4, 4, 4, 4, 4], [4, 4, 0, 4, 4, 4, 0, 0, 0, 4], [4, 0, 0, 4, 4, 0, 4, 4, 4, 0], [0, 0, 4, 4, 4, 0, 0, 4, 0, 4], [0, 4, 0, 4, 4, 0, 0, 4, 0, 4], [0, 0, 4, 0, 4, 0, 4, 4, 0, 4], [4, 4, 0, 4, 4, 0, 0, 4, 0, 4], [4, 0, 0, 4, 4, 4, 0, 0, 4, 4], [0, 3, 3, 0, 0, 0, 0, 0, 3, 3], [3, 3, 0, 0, 3, 3, 0, 0, 0, 0], [0, 0, 3, 0, 0, 0, 3, 0, 3, 0], [3, 3, 0, 0, 0, 3, 3, 0, 0, 0], [0, 0, 3, 3, 0, 3, 3, 0, 3, 3], [3, 3, 0, 0, 3, 0, 3, 3, 3, 3], [3, 0, 0, 3, 3, 3, 0, 0, 3, 0], [0, 0, 3, 0, 3, 3, 3, 0, 3, 0], [3, 0, 3, 3, 3, 0, 0, 0, 0, 0], [0, 0, 3, 3, 3, 3, 0, 0, 0, 0], [2, 2, 0, 2, 0, 2, 0, 0, 0, 0], [0, 2, 2, 0, 2, 2, 2, 0, 0, 2], [2, 0, 0, 2, 0, 0, 0, 0, 0, 2], [0, 0, 2, 2, 2, 0, 2, 2, 0, 2], [0, 0, 0, 2, 0, 2, 2, 2, 2, 2], [0, 0, 0, 2, 2, 0, 0, 2, 2, 0], [0, 2, 2, 0, 0, 2, 2, 0, 2, 2], [2, 0, 2, 2, 0, 2, 2, 2, 0, 0], [0, 2, 0, 0, 0, 0, 2, 2, 2, 2], [2, 2, 0, 0, 2, 2, 2, 0, 2, 2]] -> [[1, 1, 1, 1, 0, 1, 0, 0, 1, 0], [0, 1, 1, 0, 1, 0, 1, 0, 0, 1], [1, 0, 0, 1, 0, 0, 1, 0, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 0, 1], [0, 0, 0, 0, 0, 1, 0, 1, 0, 1], [0, 0, 0, 1, 0, 0, 0, 0, 1, 1], [0, 1, 1, 1, 1, 1, 1, 0, 1, 1], [1, 0, 0, 1, 1, 1, 0, 1, 0, 0], [1, 1, 0, 1, 1, 0, 1, 1, 1, 1], [1, 1, 0, 1, 0, 0, 1, 0, 1, 1]]\n"
+        }
+    },
+    "SCMtcbq!and!xor!15x15": {
+        "L1": {
+            "Replicate 0": "You must solve the following causal discovery problem, where the cells in an input array are causal parents of cells in an output array. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. You must predict the causal function(s) that relate parent cells in the input to their children in the output. Be concise: do not explain your reasoning, and start your answer with 'The logical operators are'.\nExample input-output arrays:\n[[0, 0, 0, 3, 3, 3, 0, 0, 3, 3, 0, 0, 0, 3, 0], [0, 0, 3, 0, 3, 0, 3, 3, 0, 3, 0, 3, 3, 3, 3], [3, 3, 3, 3, 0, 0, 3, 0, 3, 0, 3, 0, 0, 3, 3], [3, 0, 0, 0, 3, 0, 3, 3, 3, 0, 3, 3, 3, 0, 0], [3, 3, 0, 0, 0, 3, 3, 3, 0, 3, 3, 0, 0, 0, 0], [0, 0, 0, 0, 3, 0, 0, 3, 3, 3, 0, 3, 3, 0, 3], [3, 3, 0, 3, 0, 3, 3, 0, 3, 0, 0, 3, 0, 0, 3], [0, 3, 0, 3, 0, 0, 0, 3, 3, 3, 3, 3, 0, 3, 3], [0, 3, 3, 3, 3, 0, 0, 3, 0, 3, 3, 0, 0, 0, 0], [0, 3, 3, 0, 3, 3, 0, 0, 3, 0, 3, 3, 3, 0, 0], [0, 3, 0, 3, 0, 3, 3, 0, 0, 0, 3, 0, 3, 3, 3], [0, 3, 3, 3, 3, 3, 0, 0, 3, 0, 3, 0, 0, 0, 0], [3, 0, 0, 3, 3, 0, 0, 0, 0, 3, 3, 3, 0, 3, 3], [0, 3, 3, 0, 0, 0, 0, 3, 3, 0, 3, 0, 3, 3, 0], [3, 0, 3, 0, 0, 0, 0, 3, 3, 0, 3, 0, 3, 3, 3], [0, 0, 0, 6, 6, 0, 6, 0, 0, 6, 0, 6, 0, 6, 0], [0, 0, 6, 6, 6, 0, 0, 6, 0, 0, 0, 0, 0, 6, 0], [6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 0, 0, 6, 6, 0], [0, 0, 6, 6, 6, 6, 0, 0, 6, 6, 6, 0, 0, 0, 0], [0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 0, 6, 6, 6, 0], [0, 6, 6, 0, 0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 6], [0, 0, 0, 6, 6, 6, 0, 6, 6, 0, 6, 0, 0, 0, 0], [0, 6, 0, 6, 0, 6, 6, 6, 0, 0, 6, 6, 6, 0, 6], [0, 6, 0, 6, 6, 6, 6, 0, 0, 0, 0, 6, 0, 0, 0], [0, 0, 0, 6, 6, 0, 6, 6, 0, 6, 0, 6, 6, 0, 6], [6, 0, 0, 6, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 0], [6, 6, 0, 6, 6, 0, 6, 6, 0, 6, 6, 6, 0, 0, 0], [0, 0, 0, 0, 6, 6, 6, 6, 0, 6, 6, 6, 0, 0, 6], [0, 0, 6, 6, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 6], [0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 6, 0, 6, 6, 6], [0, 0, 0, 9, 9, 0, 0, 9, 0, 9, 9, 9, 9, 0, 9], [0, 0, 9, 0, 0, 0, 9, 9, 0, 0, 9, 9, 0, 9, 9], [0, 9, 9, 0, 9, 0, 9, 9, 0, 0, 9, 9, 9, 0, 0], [9, 0, 0, 9, 0, 9, 9, 9, 0, 0, 0, 9, 9, 9, 0], [0, 0, 9, 9, 0, 0, 0, 9, 0, 0, 9, 9, 9, 9, 0], [0, 0, 9, 9, 0, 0, 0, 9, 0, 0, 9, 9, 0, 0, 0], [9, 9, 0, 0, 0, 9, 9, 9, 0, 9, 0, 9, 9, 0, 9], [0, 0, 0, 0, 0, 9, 9, 0, 9, 0, 9, 0, 0, 9, 0], [9, 0, 9, 9, 9, 9, 0, 9, 0, 0, 9, 0, 0, 9, 0], [0, 0, 0, 9, 9, 9, 0, 9, 0, 0, 0, 0, 9, 9, 9], [0, 0, 0, 9, 9, 9, 9, 9, 0, 0, 9, 0, 0, 9, 0], [0, 0, 0, 0, 9, 9, 0, 9, 9, 0, 0, 0, 9, 9, 0], [0, 9, 9, 0, 9, 0, 0, 9, 9, 9, 9, 0, 9, 0, 9], [0, 9, 9, 0, 0, 0, 0, 9, 0, 0, 0, 9, 0, 0, 0], [9, 9, 9, 9, 9, 0, 0, 9, 9, 0, 0, 0, 9, 9, 0]] -> [[0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2], [0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2], [2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0], [2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0], [0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0], [0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2], [2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2], [0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2], [2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0], [0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2], [0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0], [0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0], [0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0], [0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0], [2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2]]\nExample input-output arrays:\n[[0, 3, 0, 3, 0, 3, 0, 0, 3, 0, 3, 3, 3, 3, 0], [0, 0, 0, 0, 3, 0, 0, 3, 3, 3, 3, 3, 3, 0, 3], [0, 0, 0, 3, 3, 0, 3, 3, 0, 0, 0, 0, 0, 0, 3], [3, 0, 0, 3, 0, 0, 3, 0, 0, 0, 0, 3, 0, 3, 0], [0, 3, 0, 0, 3, 3, 0, 3, 3, 3, 3, 0, 0, 3, 0], [3, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0, 3, 0, 3, 0], [0, 0, 3, 3, 3, 0, 0, 3, 0, 0, 3, 3, 0, 0, 0], [0, 0, 0, 3, 3, 0, 0, 3, 0, 3, 3, 0, 0, 3, 0], [0, 0, 0, 0, 3, 0, 3, 0, 3, 3, 0, 3, 3, 3, 3], [0, 0, 3, 3, 3, 0, 3, 3, 0, 3, 3, 3, 0, 0, 0], [3, 0, 3, 3, 0, 3, 3, 3, 0, 3, 0, 0, 3, 3, 0], [3, 0, 0, 0, 0, 0, 3, 0, 0, 3, 3, 0, 3, 0, 0], [3, 0, 3, 3, 3, 0, 3, 0, 0, 0, 3, 3, 3, 0, 3], [0, 0, 3, 0, 0, 3, 3, 0, 0, 0, 3, 3, 0, 0, 3], [0, 0, 3, 3, 0, 0, 3, 3, 3, 0, 0, 0, 3, 3, 0], [6, 6, 6, 0, 6, 6, 0, 6, 0, 6, 6, 0, 6, 6, 0], [6, 0, 6, 6, 0, 6, 6, 0, 0, 6, 0, 0, 6, 0, 0], [6, 6, 0, 6, 0, 0, 6, 0, 6, 0, 6, 0, 0, 0, 6], [6, 6, 6, 0, 6, 6, 6, 6, 6, 0, 6, 0, 0, 6, 6], [6, 0, 0, 6, 6, 6, 6, 6, 0, 6, 0, 0, 0, 0, 0], [0, 6, 0, 6, 0, 0, 6, 6, 0, 6, 6, 0, 0, 0, 0], [0, 6, 0, 6, 0, 6, 0, 6, 6, 0, 6, 0, 6, 6, 0], [0, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 0, 0, 0, 0], [6, 6, 0, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 6, 0], [0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 0, 0, 6, 6, 6], [6, 6, 0, 6, 6, 6, 0, 6, 6, 6, 6, 0, 6, 0, 0], [0, 0, 6, 0, 6, 6, 6, 0, 6, 0, 0, 0, 0, 0, 6], [6, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0], [6, 6, 6, 6, 0, 0, 0, 6, 0, 6, 6, 6, 0, 6, 0], [0, 0, 6, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6, 0], [0, 9, 0, 0, 0, 0, 0, 9, 0, 9, 9, 9, 0, 9, 0], [0, 9, 0, 9, 0, 0, 0, 9, 9, 0, 9, 0, 0, 0, 9], [9, 9, 9, 0, 9, 0, 9, 9, 0, 0, 0, 9, 0, 0, 9], [0, 9, 9, 9, 9, 0, 0, 9, 0, 0, 0, 0, 0, 0, 9], [9, 9, 9, 9, 0, 9, 9, 0, 9, 0, 9, 0, 9, 9, 0], [0, 0, 9, 9, 9, 9, 0, 9, 9, 9, 9, 0, 9, 0, 0], [0, 0, 9, 9, 0, 0, 0, 9, 9, 9, 0, 0, 9, 9, 9], [0, 9, 0, 0, 9, 9, 9, 9, 9, 0, 0, 0, 9, 0, 0], [0, 9, 9, 0, 0, 9, 0, 9, 0, 0, 9, 0, 0, 9, 9], [9, 9, 9, 0, 9, 9, 0, 9, 0, 0, 9, 0, 9, 9, 9], [0, 9, 9, 9, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 9], [9, 0, 9, 9, 0, 0, 9, 0, 9, 0, 9, 0, 0, 0, 9], [0, 0, 9, 0, 9, 0, 0, 0, 9, 0, 9, 9, 9, 0, 0], [0, 0, 9, 0, 9, 0, 0, 9, 9, 9, 0, 9, 0, 9, 9], [0, 0, 0, 0, 0, 9, 0, 0, 9, 9, 9, 9, 9, 0, 9]] -> [[0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0], [0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2], [2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0], [2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2], [2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0], [0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0], [0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2], [0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0], [0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2], [2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2], [2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2], [2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2], [2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0], [0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2], [0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]\nExample input-output arrays:\n[[3, 3, 0, 3, 0, 3, 3, 3, 0, 3, 3, 0, 3, 3, 0], [0, 0, 0, 0, 3, 3, 0, 0, 3, 3, 3, 0, 0, 3, 3], [0, 0, 3, 3, 0, 3, 0, 3, 3, 3, 3, 3, 0, 0, 0], [3, 0, 3, 3, 0, 3, 3, 3, 0, 3, 3, 3, 3, 0, 0], [0, 3, 3, 3, 3, 3, 3, 0, 3, 0, 0, 3, 3, 3, 3], [3, 0, 3, 3, 0, 0, 3, 0, 0, 3, 0, 0, 3, 3, 0], [0, 3, 3, 0, 0, 3, 3, 0, 3, 0, 0, 0, 0, 0, 0], [0, 3, 0, 3, 3, 3, 3, 3, 0, 3, 0, 0, 3, 3, 0], [0, 0, 0, 3, 0, 0, 3, 3, 3, 3, 0, 0, 3, 3, 0], [3, 0, 3, 0, 3, 0, 0, 3, 0, 3, 0, 3, 0, 3, 0], [0, 0, 0, 0, 0, 3, 3, 3, 3, 0, 0, 3, 3, 3, 0], [0, 0, 3, 0, 0, 3, 0, 3, 0, 3, 3, 0, 0, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0], [0, 3, 3, 3, 3, 3, 0, 3, 3, 0, 0, 0, 3, 3, 3], [3, 0, 3, 0, 0, 3, 0, 3, 0, 3, 3, 0, 0, 0, 0], [6, 6, 0, 6, 0, 0, 6, 6, 0, 0, 6, 0, 0, 0, 6], [0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 6, 6, 0, 0, 0], [6, 0, 0, 6, 6, 0, 6, 6, 6, 0, 6, 0, 0, 0, 6], [6, 0, 0, 6, 6, 6, 0, 0, 6, 0, 0, 6, 0, 6, 6], [0, 6, 0, 0, 0, 6, 6, 0, 0, 0, 0, 6, 0, 0, 6], [6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 6, 6, 6], [0, 6, 6, 6, 6, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0], [0, 6, 0, 0, 0, 6, 0, 0, 6, 6, 0, 0, 0, 6, 6], [0, 6, 0, 0, 6, 0, 6, 6, 6, 6, 0, 6, 6, 6, 0], [0, 0, 6, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 0], [0, 0, 6, 0, 0, 0, 6, 6, 6, 0, 0, 6, 6, 0, 6], [6, 0, 6, 0, 6, 0, 0, 0, 6, 0, 0, 0, 6, 0, 6], [6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 6, 6, 0, 6], [6, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0], [6, 0, 0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 0, 6, 0], [0, 9, 0, 0, 0, 9, 0, 0, 0, 0, 9, 9, 9, 9, 9], [9, 9, 9, 9, 0, 9, 0, 9, 0, 9, 9, 9, 9, 9, 0], [9, 0, 9, 9, 9, 9, 0, 9, 0, 0, 0, 0, 9, 0, 0], [0, 9, 9, 9, 9, 0, 0, 0, 0, 9, 0, 0, 9, 9, 9], [9, 0, 0, 9, 9, 9, 9, 9, 9, 9, 0, 0, 9, 9, 9], [0, 9, 9, 0, 0, 9, 0, 0, 9, 0, 9, 9, 0, 9, 0], [9, 9, 9, 9, 0, 0, 9, 0, 9, 0, 9, 9, 0, 9, 9], [9, 0, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 9, 9, 0], [0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 0, 9, 0, 9, 0], [9, 9, 0, 0, 9, 0, 9, 0, 0, 0, 0, 9, 0, 0, 9], [9, 9, 0, 0, 9, 9, 9, 0, 9, 9, 0, 9, 0, 0, 0], [9, 0, 9, 0, 9, 9, 9, 0, 9, 9, 9, 9, 0, 9, 0], [0, 0, 9, 9, 9, 0, 9, 0, 0, 0, 9, 9, 0, 9, 9], [9, 0, 0, 9, 0, 0, 9, 0, 0, 0, 9, 9, 9, 0, 0], [0, 0, 9, 9, 0, 9, 0, 0, 0, 0, 0, 0, 9, 9, 0]] -> [[2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2], [2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0], [2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0], [2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2], [2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0], [2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0], [2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2], [2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0], [0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0], [2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2], [2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0], [2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0], [0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2], [2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0], [2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0]]\nExample input-output arrays:\n[[3, 3, 0, 0, 3, 0, 3, 0, 0, 0, 3, 0, 0, 3, 3], [3, 0, 0, 3, 0, 0, 3, 0, 3, 3, 0, 0, 0, 3, 0], [0, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0], [0, 3, 3, 0, 3, 0, 3, 0, 3, 3, 0, 3, 0, 3, 3], [3, 3, 3, 3, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0], [3, 0, 0, 0, 0, 0, 3, 0, 0, 3, 3, 3, 0, 3, 3], [0, 0, 3, 3, 3, 3, 0, 3, 3, 0, 0, 0, 0, 3, 0], [3, 0, 0, 0, 0, 0, 3, 0, 0, 3, 3, 0, 0, 3, 3], [3, 0, 3, 3, 0, 3, 3, 0, 3, 3, 0, 0, 3, 3, 0], [0, 0, 3, 0, 3, 0, 3, 0, 0, 3, 3, 0, 3, 3, 0], [0, 3, 3, 3, 0, 0, 3, 0, 0, 0, 3, 0, 3, 0, 0], [3, 3, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 3, 0, 0], [0, 0, 3, 3, 0, 3, 0, 3, 3, 0, 0, 3, 3, 3, 0], [3, 0, 0, 0, 3, 3, 3, 3, 0, 0, 3, 3, 3, 0, 0], [0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3], [6, 6, 0, 6, 6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6], [0, 0, 6, 0, 6, 6, 6, 0, 0, 6, 0, 6, 0, 0, 0], [6, 6, 6, 6, 0, 0, 6, 0, 6, 6, 0, 0, 6, 6, 0], [6, 6, 6, 0, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 6], [0, 6, 0, 6, 6, 0, 0, 6, 0, 6, 6, 6, 6, 0, 6], [0, 0, 6, 0, 6, 0, 6, 6, 6, 0, 0, 0, 0, 6, 6], [0, 0, 6, 6, 6, 6, 6, 6, 0, 0, 0, 6, 0, 0, 6], [0, 6, 6, 6, 0, 6, 6, 0, 6, 6, 0, 0, 0, 0, 0], [0, 0, 6, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 0, 0], [0, 6, 6, 0, 6, 0, 6, 6, 0, 0, 0, 6, 6, 6, 0], [6, 0, 6, 6, 0, 6, 0, 6, 0, 6, 6, 0, 0, 6, 6], [6, 6, 0, 6, 0, 6, 0, 0, 6, 0, 0, 0, 6, 0, 6], [0, 0, 0, 6, 6, 6, 6, 6, 6, 0, 0, 6, 6, 0, 6], [6, 0, 6, 0, 6, 0, 0, 0, 0, 6, 0, 0, 6, 0, 6], [0, 6, 6, 0, 0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6], [0, 9, 0, 0, 9, 9, 9, 9, 0, 0, 0, 0, 9, 9, 0], [0, 9, 9, 9, 9, 0, 9, 0, 0, 9, 0, 9, 9, 9, 0], [0, 9, 9, 0, 9, 9, 0, 0, 0, 0, 0, 0, 9, 0, 9], [0, 0, 0, 9, 0, 0, 9, 0, 0, 9, 9, 0, 9, 0, 0], [0, 9, 9, 0, 0, 0, 0, 0, 0, 9, 9, 0, 9, 9, 9], [0, 9, 0, 0, 0, 9, 9, 0, 0, 0, 0, 9, 0, 0, 9], [9, 9, 0, 0, 0, 9, 9, 0, 0, 9, 0, 0, 0, 0, 0], [9, 9, 9, 9, 0, 0, 0, 0, 9, 9, 0, 0, 9, 0, 9], [0, 0, 9, 9, 9, 0, 9, 9, 9, 0, 9, 9, 0, 0, 0], [9, 0, 0, 0, 9, 9, 0, 0, 9, 9, 0, 9, 0, 0, 0], [9, 9, 9, 0, 0, 9, 0, 0, 0, 9, 9, 0, 9, 9, 0], [0, 0, 9, 9, 9, 9, 9, 0, 9, 9, 9, 9, 0, 0, 9], [0, 9, 9, 0, 9, 9, 0, 0, 0, 9, 0, 0, 0, 0, 9], [9, 9, 9, 0, 0, 9, 0, 0, 0, 0, 0, 9, 9, 9, 0], [9, 0, 9, 9, 9, 9, 9, 9, 0, 0, 9, 9, 0, 0, 0]] -> [[2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2], [0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0], [0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2], [0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2], [0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2], [0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0], [2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0], [2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2], [0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0], [2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0], [2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0], [2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2], [0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2], [0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0], [2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2]]\n",
+            "Replicate 1": "You must solve the following causal discovery problem, where the cells in an input array are causal parents of cells in an output array. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. You must predict the causal function(s) that relate parent cells in the input to their children in the output. Be concise: do not explain your reasoning, and start your answer with 'The logical operators are'.\nExample input-output arrays:\n[[3, 3, 0, 3, 0, 3, 3, 3, 0, 3, 3, 0, 3, 3, 0], [0, 0, 0, 0, 3, 3, 0, 0, 3, 3, 3, 0, 0, 3, 3], [0, 0, 3, 3, 0, 3, 0, 3, 3, 3, 3, 3, 0, 0, 0], [3, 0, 3, 3, 0, 3, 3, 3, 0, 3, 3, 3, 3, 0, 0], [0, 3, 3, 3, 3, 3, 3, 0, 3, 0, 0, 3, 3, 3, 3], [3, 0, 3, 3, 0, 0, 3, 0, 0, 3, 0, 0, 3, 3, 0], [0, 3, 3, 0, 0, 3, 3, 0, 3, 0, 0, 0, 0, 0, 0], [0, 3, 0, 3, 3, 3, 3, 3, 0, 3, 0, 0, 3, 3, 0], [0, 0, 0, 3, 0, 0, 3, 3, 3, 3, 0, 0, 3, 3, 0], [3, 0, 3, 0, 3, 0, 0, 3, 0, 3, 0, 3, 0, 3, 0], [0, 0, 0, 0, 0, 3, 3, 3, 3, 0, 0, 3, 3, 3, 0], [0, 0, 3, 0, 0, 3, 0, 3, 0, 3, 3, 0, 0, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0], [0, 3, 3, 3, 3, 3, 0, 3, 3, 0, 0, 0, 3, 3, 3], [3, 0, 3, 0, 0, 3, 0, 3, 0, 3, 3, 0, 0, 0, 0], [6, 6, 0, 6, 0, 0, 6, 6, 0, 0, 6, 0, 0, 0, 6], [0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 6, 6, 0, 0, 0], [6, 0, 0, 6, 6, 0, 6, 6, 6, 0, 6, 0, 0, 0, 6], [6, 0, 0, 6, 6, 6, 0, 0, 6, 0, 0, 6, 0, 6, 6], [0, 6, 0, 0, 0, 6, 6, 0, 0, 0, 0, 6, 0, 0, 6], [6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 6, 6, 6], [0, 6, 6, 6, 6, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0], [0, 6, 0, 0, 0, 6, 0, 0, 6, 6, 0, 0, 0, 6, 6], [0, 6, 0, 0, 6, 0, 6, 6, 6, 6, 0, 6, 6, 6, 0], [0, 0, 6, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 0], [0, 0, 6, 0, 0, 0, 6, 6, 6, 0, 0, 6, 6, 0, 6], [6, 0, 6, 0, 6, 0, 0, 0, 6, 0, 0, 0, 6, 0, 6], [6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 6, 6, 0, 6], [6, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0], [6, 0, 0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 0, 6, 0], [0, 9, 0, 0, 0, 9, 0, 0, 0, 0, 9, 9, 9, 9, 9], [9, 9, 9, 9, 0, 9, 0, 9, 0, 9, 9, 9, 9, 9, 0], [9, 0, 9, 9, 9, 9, 0, 9, 0, 0, 0, 0, 9, 0, 0], [0, 9, 9, 9, 9, 0, 0, 0, 0, 9, 0, 0, 9, 9, 9], [9, 0, 0, 9, 9, 9, 9, 9, 9, 9, 0, 0, 9, 9, 9], [0, 9, 9, 0, 0, 9, 0, 0, 9, 0, 9, 9, 0, 9, 0], [9, 9, 9, 9, 0, 0, 9, 0, 9, 0, 9, 9, 0, 9, 9], [9, 0, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 9, 9, 0], [0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 0, 9, 0, 9, 0], [9, 9, 0, 0, 9, 0, 9, 0, 0, 0, 0, 9, 0, 0, 9], [9, 9, 0, 0, 9, 9, 9, 0, 9, 9, 0, 9, 0, 0, 0], [9, 0, 9, 0, 9, 9, 9, 0, 9, 9, 9, 9, 0, 9, 0], [0, 0, 9, 9, 9, 0, 9, 0, 0, 0, 9, 9, 0, 9, 9], [9, 0, 0, 9, 0, 0, 9, 0, 0, 0, 9, 9, 9, 0, 0], [0, 0, 9, 9, 0, 9, 0, 0, 0, 0, 0, 0, 9, 9, 0]] -> [[2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2], [2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0], [2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0], [2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2], [2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0], [2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0], [2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2], [2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0], [0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0], [2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2], [2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0], [2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0], [0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2], [2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0], [2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0]]\nExample input-output arrays:\n[[3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 3, 0, 3], [3, 0, 3, 0, 3, 0, 0, 3, 0, 0, 0, 0, 0, 3, 0], [3, 0, 3, 3, 3, 0, 0, 0, 3, 0, 0, 3, 3, 0, 3], [3, 0, 0, 0, 3, 3, 3, 3, 0, 0, 0, 0, 3, 3, 0], [0, 3, 3, 3, 0, 3, 3, 3, 0, 3, 3, 0, 0, 0, 3], [0, 0, 0, 0, 3, 3, 0, 0, 3, 0, 0, 0, 0, 0, 3], [0, 0, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3, 0, 3, 0], [3, 0, 0, 3, 3, 3, 0, 3, 3, 0, 3, 0, 0, 3, 0], [3, 3, 0, 3, 0, 3, 3, 0, 3, 0, 3, 3, 3, 3, 0], [0, 3, 0, 0, 3, 3, 0, 3, 3, 0, 0, 3, 3, 3, 0], [3, 3, 0, 0, 0, 3, 0, 3, 3, 0, 0, 3, 3, 0, 0], [3, 0, 0, 3, 0, 3, 0, 3, 3, 0, 0, 3, 0, 3, 0], [3, 3, 3, 3, 3, 0, 0, 0, 0, 3, 3, 0, 3, 0, 0], [3, 3, 0, 0, 0, 0, 3, 3, 3, 3, 0, 0, 3, 0, 3], [3, 3, 3, 3, 3, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3], [0, 6, 0, 6, 6, 6, 0, 0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 6, 0, 0, 0, 6, 6, 0, 0, 6, 0, 0, 0, 0], [0, 0, 6, 6, 6, 6, 6, 0, 0, 0, 0, 6, 0, 6, 6], [0, 0, 6, 0, 0, 0, 6, 6, 6, 0, 0, 6, 6, 6, 6], [6, 6, 0, 0, 0, 6, 6, 0, 0, 0, 0, 6, 0, 6, 0], [6, 6, 0, 0, 6, 0, 0, 0, 6, 0, 6, 0, 6, 0, 6], [6, 6, 6, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6, 6, 6], [0, 0, 0, 6, 0, 0, 6, 0, 0, 0, 6, 6, 6, 0, 0], [0, 6, 6, 0, 0, 6, 0, 6, 6, 0, 0, 0, 0, 6, 0], [6, 6, 6, 6, 0, 0, 6, 6, 0, 6, 0, 6, 0, 0, 6], [0, 6, 0, 0, 6, 0, 6, 6, 0, 0, 6, 0, 6, 6, 0], [0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0], [6, 0, 0, 0, 0, 6, 6, 6, 0, 0, 6, 6, 0, 0, 0], [6, 6, 0, 6, 6, 0, 6, 6, 0, 6, 6, 0, 0, 0, 0], [0, 6, 6, 0, 0, 6, 0, 0, 6, 0, 6, 0, 6, 0, 6], [0, 0, 9, 9, 9, 9, 9, 9, 0, 0, 9, 9, 0, 9, 9], [0, 9, 9, 0, 0, 9, 0, 0, 0, 9, 0, 0, 9, 0, 9], [0, 9, 0, 0, 0, 9, 9, 0, 9, 0, 0, 0, 9, 9, 0], [0, 0, 0, 9, 9, 0, 9, 0, 0, 9, 9, 9, 9, 9, 9], [0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 9, 9, 0, 9, 0], [0, 0, 0, 9, 9, 9, 0, 0, 9, 9, 9, 9, 0, 9, 9], [0, 0, 9, 9, 0, 0, 9, 0, 9, 9, 0, 0, 0, 0, 9], [0, 0, 0, 0, 9, 0, 9, 9, 9, 0, 0, 0, 9, 0, 9], [9, 9, 0, 0, 0, 9, 9, 9, 0, 9, 9, 0, 0, 9, 0], [0, 0, 0, 9, 9, 0, 9, 9, 9, 0, 9, 0, 9, 0, 0], [9, 0, 9, 0, 9, 9, 9, 0, 9, 9, 0, 0, 0, 0, 0], [0, 9, 9, 0, 0, 9, 0, 0, 9, 9, 9, 0, 0, 0, 0], [9, 9, 0, 0, 0, 9, 9, 0, 9, 0, 0, 9, 9, 0, 9], [9, 0, 9, 0, 0, 9, 9, 9, 0, 0, 0, 0, 9, 0, 0], [0, 0, 9, 9, 9, 0, 0, 9, 0, 0, 9, 9, 0, 9, 9]] -> [[0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2], [0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2], [0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2], [0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2], [0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0], [0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0], [0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2], [0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2], [2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0], [0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0], [2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0], [0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0], [0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2], [0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0], [0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0]]\nExample input-output arrays:\n[[3, 3, 0, 3, 0, 3, 3, 3, 0, 3, 3, 0, 3, 3, 0], [0, 0, 0, 0, 3, 3, 0, 0, 3, 3, 3, 0, 0, 3, 3], [0, 0, 3, 3, 0, 3, 0, 3, 3, 3, 3, 3, 0, 0, 0], [3, 0, 3, 3, 0, 3, 3, 3, 0, 3, 3, 3, 3, 0, 0], [0, 3, 3, 3, 3, 3, 3, 0, 3, 0, 0, 3, 3, 3, 3], [3, 0, 3, 3, 0, 0, 3, 0, 0, 3, 0, 0, 3, 3, 0], [0, 3, 3, 0, 0, 3, 3, 0, 3, 0, 0, 0, 0, 0, 0], [0, 3, 0, 3, 3, 3, 3, 3, 0, 3, 0, 0, 3, 3, 0], [0, 0, 0, 3, 0, 0, 3, 3, 3, 3, 0, 0, 3, 3, 0], [3, 0, 3, 0, 3, 0, 0, 3, 0, 3, 0, 3, 0, 3, 0], [0, 0, 0, 0, 0, 3, 3, 3, 3, 0, 0, 3, 3, 3, 0], [0, 0, 3, 0, 0, 3, 0, 3, 0, 3, 3, 0, 0, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0], [0, 3, 3, 3, 3, 3, 0, 3, 3, 0, 0, 0, 3, 3, 3], [3, 0, 3, 0, 0, 3, 0, 3, 0, 3, 3, 0, 0, 0, 0], [6, 6, 0, 6, 0, 0, 6, 6, 0, 0, 6, 0, 0, 0, 6], [0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 6, 6, 0, 0, 0], [6, 0, 0, 6, 6, 0, 6, 6, 6, 0, 6, 0, 0, 0, 6], [6, 0, 0, 6, 6, 6, 0, 0, 6, 0, 0, 6, 0, 6, 6], [0, 6, 0, 0, 0, 6, 6, 0, 0, 0, 0, 6, 0, 0, 6], [6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 6, 6, 6], [0, 6, 6, 6, 6, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0], [0, 6, 0, 0, 0, 6, 0, 0, 6, 6, 0, 0, 0, 6, 6], [0, 6, 0, 0, 6, 0, 6, 6, 6, 6, 0, 6, 6, 6, 0], [0, 0, 6, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 0], [0, 0, 6, 0, 0, 0, 6, 6, 6, 0, 0, 6, 6, 0, 6], [6, 0, 6, 0, 6, 0, 0, 0, 6, 0, 0, 0, 6, 0, 6], [6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 6, 6, 0, 6], [6, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0], [6, 0, 0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 0, 6, 0], [0, 9, 0, 0, 0, 9, 0, 0, 0, 0, 9, 9, 9, 9, 9], [9, 9, 9, 9, 0, 9, 0, 9, 0, 9, 9, 9, 9, 9, 0], [9, 0, 9, 9, 9, 9, 0, 9, 0, 0, 0, 0, 9, 0, 0], [0, 9, 9, 9, 9, 0, 0, 0, 0, 9, 0, 0, 9, 9, 9], [9, 0, 0, 9, 9, 9, 9, 9, 9, 9, 0, 0, 9, 9, 9], [0, 9, 9, 0, 0, 9, 0, 0, 9, 0, 9, 9, 0, 9, 0], [9, 9, 9, 9, 0, 0, 9, 0, 9, 0, 9, 9, 0, 9, 9], [9, 0, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 9, 9, 0], [0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 0, 9, 0, 9, 0], [9, 9, 0, 0, 9, 0, 9, 0, 0, 0, 0, 9, 0, 0, 9], [9, 9, 0, 0, 9, 9, 9, 0, 9, 9, 0, 9, 0, 0, 0], [9, 0, 9, 0, 9, 9, 9, 0, 9, 9, 9, 9, 0, 9, 0], [0, 0, 9, 9, 9, 0, 9, 0, 0, 0, 9, 9, 0, 9, 9], [9, 0, 0, 9, 0, 0, 9, 0, 0, 0, 9, 9, 9, 0, 0], [0, 0, 9, 9, 0, 9, 0, 0, 0, 0, 0, 0, 9, 9, 0]] -> [[2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2], [2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0], [2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0], [2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2], [2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0], [2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0], [2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2], [2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0], [0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0], [2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2], [2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0], [2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0], [0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2], [2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0], [2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0]]\nExample input-output arrays:\n[[3, 0, 3, 3, 3, 3, 3, 0, 3, 0, 0, 0, 3, 0, 3], [3, 0, 3, 3, 3, 0, 0, 3, 3, 0, 0, 3, 0, 0, 3], [3, 0, 3, 0, 0, 3, 0, 0, 3, 0, 3, 3, 3, 3, 0], [3, 3, 3, 0, 3, 0, 0, 0, 0, 3, 3, 3, 3, 3, 0], [3, 3, 0, 3, 3, 0, 0, 0, 0, 3, 0, 0, 0, 0, 3], [0, 0, 3, 3, 0, 0, 3, 0, 3, 0, 0, 3, 3, 0, 0], [3, 0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 3, 0, 3, 3], [0, 0, 3, 3, 3, 0, 3, 0, 0, 0, 0, 0, 3, 3, 0], [3, 3, 3, 0, 3, 3, 0, 3, 0, 3, 3, 0, 3, 0, 3], [0, 0, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 0, 0], [3, 0, 3, 0, 0, 0, 0, 0, 0, 3, 0, 3, 0, 0, 0], [0, 0, 3, 3, 3, 3, 0, 0, 3, 3, 0, 0, 0, 3, 0], [0, 0, 3, 0, 0, 0, 0, 3, 0, 0, 3, 3, 0, 0, 3], [0, 3, 0, 0, 0, 0, 0, 3, 3, 3, 0, 3, 0, 0, 3], [3, 0, 3, 3, 3, 3, 0, 3, 3, 0, 0, 0, 0, 3, 3], [6, 6, 6, 6, 6, 6, 0, 0, 6, 6, 0, 0, 6, 6, 6], [0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6, 6, 0], [0, 6, 6, 6, 6, 0, 6, 6, 0, 6, 0, 6, 0, 0, 0], [0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 6, 6], [0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 6, 6, 0], [0, 0, 0, 0, 6, 0, 6, 0, 6, 6, 6, 6, 0, 0, 6], [0, 6, 0, 0, 0, 6, 6, 0, 6, 0, 0, 6, 6, 6, 6], [6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 6, 6, 0, 6, 6], [0, 0, 0, 6, 6, 0, 6, 6, 0, 6, 0, 0, 0, 6, 0], [0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 6, 0, 6, 6, 6], [6, 0, 6, 0, 6, 0, 0, 6, 0, 0, 0, 0, 0, 0, 6], [0, 6, 6, 6, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 0], [0, 6, 6, 0, 0, 6, 0, 6, 0, 6, 6, 0, 0, 0, 6], [0, 6, 0, 6, 6, 6, 0, 6, 6, 6, 6, 6, 0, 6, 6], [0, 6, 6, 0, 0, 0, 6, 6, 6, 0, 6, 0, 6, 6, 0], [9, 0, 0, 0, 9, 0, 9, 0, 0, 0, 9, 9, 0, 9, 0], [9, 0, 9, 9, 9, 0, 0, 0, 0, 9, 9, 0, 0, 9, 9], [9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 9, 9, 9, 0], [9, 0, 0, 0, 0, 0, 9, 0, 9, 0, 9, 9, 0, 9, 9], [9, 9, 9, 0, 9, 0, 0, 9, 0, 0, 0, 0, 9, 0, 0], [9, 9, 9, 0, 9, 9, 0, 0, 9, 9, 9, 9, 0, 0, 9], [0, 0, 0, 9, 9, 9, 9, 9, 0, 0, 0, 0, 9, 9, 9], [9, 0, 9, 0, 0, 0, 0, 9, 9, 9, 0, 0, 9, 9, 0], [0, 0, 0, 9, 0, 0, 0, 0, 0, 9, 0, 0, 9, 9, 0], [0, 9, 0, 9, 9, 9, 9, 9, 0, 9, 9, 0, 0, 0, 9], [0, 0, 0, 9, 0, 0, 0, 0, 9, 9, 9, 9, 9, 9, 0], [9, 9, 0, 0, 9, 9, 0, 9, 0, 9, 9, 0, 9, 9, 9], [0, 9, 9, 0, 0, 9, 0, 9, 0, 0, 9, 9, 0, 0, 9], [0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 9, 9, 0, 9], [9, 9, 0, 0, 0, 0, 9, 9, 9, 0, 9, 0, 0, 9, 9]] -> [[0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2], [2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2], [2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0], [2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2], [2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0], [2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2], [0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0], [2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0], [0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0], [0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2], [2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0], [2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2], [0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0], [0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0], [2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2]]\n",
+            "Replicate 2": "You must solve the following causal discovery problem, where the cells in an input array are causal parents of cells in an output array. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. You must predict the causal function(s) that relate parent cells in the input to their children in the output. Be concise: do not explain your reasoning, and start your answer with 'The logical operators are'.\nExample input-output arrays:\n[[3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 3, 0, 3], [3, 0, 3, 0, 3, 0, 0, 3, 0, 0, 0, 0, 0, 3, 0], [3, 0, 3, 3, 3, 0, 0, 0, 3, 0, 0, 3, 3, 0, 3], [3, 0, 0, 0, 3, 3, 3, 3, 0, 0, 0, 0, 3, 3, 0], [0, 3, 3, 3, 0, 3, 3, 3, 0, 3, 3, 0, 0, 0, 3], [0, 0, 0, 0, 3, 3, 0, 0, 3, 0, 0, 0, 0, 0, 3], [0, 0, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3, 0, 3, 0], [3, 0, 0, 3, 3, 3, 0, 3, 3, 0, 3, 0, 0, 3, 0], [3, 3, 0, 3, 0, 3, 3, 0, 3, 0, 3, 3, 3, 3, 0], [0, 3, 0, 0, 3, 3, 0, 3, 3, 0, 0, 3, 3, 3, 0], [3, 3, 0, 0, 0, 3, 0, 3, 3, 0, 0, 3, 3, 0, 0], [3, 0, 0, 3, 0, 3, 0, 3, 3, 0, 0, 3, 0, 3, 0], [3, 3, 3, 3, 3, 0, 0, 0, 0, 3, 3, 0, 3, 0, 0], [3, 3, 0, 0, 0, 0, 3, 3, 3, 3, 0, 0, 3, 0, 3], [3, 3, 3, 3, 3, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3], [0, 6, 0, 6, 6, 6, 0, 0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 6, 0, 0, 0, 6, 6, 0, 0, 6, 0, 0, 0, 0], [0, 0, 6, 6, 6, 6, 6, 0, 0, 0, 0, 6, 0, 6, 6], [0, 0, 6, 0, 0, 0, 6, 6, 6, 0, 0, 6, 6, 6, 6], [6, 6, 0, 0, 0, 6, 6, 0, 0, 0, 0, 6, 0, 6, 0], [6, 6, 0, 0, 6, 0, 0, 0, 6, 0, 6, 0, 6, 0, 6], [6, 6, 6, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6, 6, 6], [0, 0, 0, 6, 0, 0, 6, 0, 0, 0, 6, 6, 6, 0, 0], [0, 6, 6, 0, 0, 6, 0, 6, 6, 0, 0, 0, 0, 6, 0], [6, 6, 6, 6, 0, 0, 6, 6, 0, 6, 0, 6, 0, 0, 6], [0, 6, 0, 0, 6, 0, 6, 6, 0, 0, 6, 0, 6, 6, 0], [0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0], [6, 0, 0, 0, 0, 6, 6, 6, 0, 0, 6, 6, 0, 0, 0], [6, 6, 0, 6, 6, 0, 6, 6, 0, 6, 6, 0, 0, 0, 0], [0, 6, 6, 0, 0, 6, 0, 0, 6, 0, 6, 0, 6, 0, 6], [0, 0, 9, 9, 9, 9, 9, 9, 0, 0, 9, 9, 0, 9, 9], [0, 9, 9, 0, 0, 9, 0, 0, 0, 9, 0, 0, 9, 0, 9], [0, 9, 0, 0, 0, 9, 9, 0, 9, 0, 0, 0, 9, 9, 0], [0, 0, 0, 9, 9, 0, 9, 0, 0, 9, 9, 9, 9, 9, 9], [0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 9, 9, 0, 9, 0], [0, 0, 0, 9, 9, 9, 0, 0, 9, 9, 9, 9, 0, 9, 9], [0, 0, 9, 9, 0, 0, 9, 0, 9, 9, 0, 0, 0, 0, 9], [0, 0, 0, 0, 9, 0, 9, 9, 9, 0, 0, 0, 9, 0, 9], [9, 9, 0, 0, 0, 9, 9, 9, 0, 9, 9, 0, 0, 9, 0], [0, 0, 0, 9, 9, 0, 9, 9, 9, 0, 9, 0, 9, 0, 0], [9, 0, 9, 0, 9, 9, 9, 0, 9, 9, 0, 0, 0, 0, 0], [0, 9, 9, 0, 0, 9, 0, 0, 9, 9, 9, 0, 0, 0, 0], [9, 9, 0, 0, 0, 9, 9, 0, 9, 0, 0, 9, 9, 0, 9], [9, 0, 9, 0, 0, 9, 9, 9, 0, 0, 0, 0, 9, 0, 0], [0, 0, 9, 9, 9, 0, 0, 9, 0, 0, 9, 9, 0, 9, 9]] -> [[0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2], [0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2], [0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2], [0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2], [0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0], [0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0], [0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2], [0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2], [2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0], [0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0], [2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0], [0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0], [0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2], [0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0], [0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0]]\nExample input-output arrays:\n[[3, 3, 0, 3, 0, 3, 3, 3, 0, 3, 3, 0, 3, 3, 0], [0, 0, 0, 0, 3, 3, 0, 0, 3, 3, 3, 0, 0, 3, 3], [0, 0, 3, 3, 0, 3, 0, 3, 3, 3, 3, 3, 0, 0, 0], [3, 0, 3, 3, 0, 3, 3, 3, 0, 3, 3, 3, 3, 0, 0], [0, 3, 3, 3, 3, 3, 3, 0, 3, 0, 0, 3, 3, 3, 3], [3, 0, 3, 3, 0, 0, 3, 0, 0, 3, 0, 0, 3, 3, 0], [0, 3, 3, 0, 0, 3, 3, 0, 3, 0, 0, 0, 0, 0, 0], [0, 3, 0, 3, 3, 3, 3, 3, 0, 3, 0, 0, 3, 3, 0], [0, 0, 0, 3, 0, 0, 3, 3, 3, 3, 0, 0, 3, 3, 0], [3, 0, 3, 0, 3, 0, 0, 3, 0, 3, 0, 3, 0, 3, 0], [0, 0, 0, 0, 0, 3, 3, 3, 3, 0, 0, 3, 3, 3, 0], [0, 0, 3, 0, 0, 3, 0, 3, 0, 3, 3, 0, 0, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0], [0, 3, 3, 3, 3, 3, 0, 3, 3, 0, 0, 0, 3, 3, 3], [3, 0, 3, 0, 0, 3, 0, 3, 0, 3, 3, 0, 0, 0, 0], [6, 6, 0, 6, 0, 0, 6, 6, 0, 0, 6, 0, 0, 0, 6], [0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 6, 6, 0, 0, 0], [6, 0, 0, 6, 6, 0, 6, 6, 6, 0, 6, 0, 0, 0, 6], [6, 0, 0, 6, 6, 6, 0, 0, 6, 0, 0, 6, 0, 6, 6], [0, 6, 0, 0, 0, 6, 6, 0, 0, 0, 0, 6, 0, 0, 6], [6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 6, 6, 6], [0, 6, 6, 6, 6, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0], [0, 6, 0, 0, 0, 6, 0, 0, 6, 6, 0, 0, 0, 6, 6], [0, 6, 0, 0, 6, 0, 6, 6, 6, 6, 0, 6, 6, 6, 0], [0, 0, 6, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 0], [0, 0, 6, 0, 0, 0, 6, 6, 6, 0, 0, 6, 6, 0, 6], [6, 0, 6, 0, 6, 0, 0, 0, 6, 0, 0, 0, 6, 0, 6], [6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 6, 6, 0, 6], [6, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0], [6, 0, 0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 0, 6, 0], [0, 9, 0, 0, 0, 9, 0, 0, 0, 0, 9, 9, 9, 9, 9], [9, 9, 9, 9, 0, 9, 0, 9, 0, 9, 9, 9, 9, 9, 0], [9, 0, 9, 9, 9, 9, 0, 9, 0, 0, 0, 0, 9, 0, 0], [0, 9, 9, 9, 9, 0, 0, 0, 0, 9, 0, 0, 9, 9, 9], [9, 0, 0, 9, 9, 9, 9, 9, 9, 9, 0, 0, 9, 9, 9], [0, 9, 9, 0, 0, 9, 0, 0, 9, 0, 9, 9, 0, 9, 0], [9, 9, 9, 9, 0, 0, 9, 0, 9, 0, 9, 9, 0, 9, 9], [9, 0, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 9, 9, 0], [0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 0, 9, 0, 9, 0], [9, 9, 0, 0, 9, 0, 9, 0, 0, 0, 0, 9, 0, 0, 9], [9, 9, 0, 0, 9, 9, 9, 0, 9, 9, 0, 9, 0, 0, 0], [9, 0, 9, 0, 9, 9, 9, 0, 9, 9, 9, 9, 0, 9, 0], [0, 0, 9, 9, 9, 0, 9, 0, 0, 0, 9, 9, 0, 9, 9], [9, 0, 0, 9, 0, 0, 9, 0, 0, 0, 9, 9, 9, 0, 0], [0, 0, 9, 9, 0, 9, 0, 0, 0, 0, 0, 0, 9, 9, 0]] -> [[2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2], [2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0], [2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0], [2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2], [2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0], [2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0], [2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2], [2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0], [0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0], [2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2], [2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0], [2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0], [0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2], [2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0], [2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0]]\nExample input-output arrays:\n[[0, 3, 3, 3, 0, 0, 3, 0, 3, 0, 3, 3, 3, 3, 0], [0, 3, 3, 0, 0, 0, 0, 3, 3, 3, 0, 0, 0, 3, 0], [3, 0, 3, 0, 0, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3], [3, 3, 0, 0, 0, 0, 0, 3, 3, 3, 3, 0, 0, 0, 0], [0, 3, 0, 0, 0, 0, 3, 3, 0, 0, 0, 3, 0, 0, 3], [0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 0, 0, 3, 3], [3, 0, 3, 0, 0, 3, 0, 0, 0, 3, 3, 3, 3, 3, 0], [3, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 3], [3, 3, 0, 0, 3, 0, 3, 0, 0, 3, 3, 3, 0, 3, 3], [0, 3, 0, 3, 3, 0, 3, 0, 3, 0, 3, 0, 0, 0, 0], [0, 3, 3, 0, 0, 3, 3, 0, 0, 3, 0, 0, 3, 3, 0], [3, 0, 3, 3, 0, 3, 0, 0, 0, 0, 0, 0, 3, 3, 0], [3, 3, 0, 0, 3, 0, 0, 0, 3, 3, 0, 0, 3, 3, 0], [3, 3, 0, 0, 3, 3, 0, 0, 0, 0, 3, 0, 3, 0, 3], [3, 0, 0, 0, 0, 0, 3, 3, 3, 0, 0, 3, 0, 0, 0], [0, 6, 6, 0, 6, 0, 0, 0, 6, 6, 0, 6, 0, 0, 6], [6, 0, 0, 0, 0, 6, 6, 6, 0, 0, 6, 6, 6, 0, 0], [0, 6, 6, 6, 6, 6, 0, 6, 0, 6, 6, 0, 6, 6, 0], [0, 6, 0, 6, 0, 6, 6, 6, 0, 0, 0, 0, 6, 0, 0], [6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 0, 6, 0, 6], [6, 6, 6, 0, 0, 0, 6, 0, 6, 0, 0, 6, 6, 0, 6], [0, 6, 0, 0, 6, 0, 0, 6, 6, 0, 6, 6, 0, 0, 6], [0, 6, 0, 6, 6, 0, 0, 6, 0, 6, 6, 6, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 0, 0], [0, 6, 0, 0, 6, 0, 0, 0, 6, 6, 0, 0, 0, 6, 0], [0, 0, 6, 0, 6, 0, 0, 6, 0, 0, 6, 6, 6, 0, 0], [6, 0, 0, 6, 6, 0, 0, 6, 0, 0, 0, 6, 0, 6, 6], [0, 6, 0, 0, 0, 0, 6, 0, 0, 6, 6, 6, 0, 0, 6], [0, 6, 0, 6, 0, 0, 0, 6, 0, 0, 0, 6, 0, 6, 6], [0, 6, 0, 0, 6, 6, 6, 6, 6, 6, 0, 0, 6, 0, 0], [0, 9, 9, 9, 0, 9, 0, 0, 0, 0, 0, 0, 9, 0, 9], [9, 9, 9, 0, 0, 9, 9, 9, 0, 9, 9, 0, 0, 9, 0], [9, 0, 0, 9, 0, 0, 9, 9, 9, 0, 9, 9, 9, 0, 0], [0, 9, 0, 9, 9, 0, 9, 9, 0, 9, 0, 0, 9, 0, 0], [9, 9, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 0], [9, 9, 0, 9, 9, 0, 9, 0, 0, 9, 9, 0, 0, 0, 0], [0, 9, 9, 9, 0, 9, 9, 0, 0, 9, 9, 9, 0, 0, 0], [0, 0, 9, 9, 9, 0, 0, 0, 0, 9, 9, 9, 9, 9, 9], [9, 0, 9, 9, 9, 0, 9, 0, 0, 9, 0, 9, 0, 0, 0], [0, 9, 0, 9, 9, 9, 9, 9, 9, 9, 9, 0, 0, 9, 0], [9, 0, 0, 0, 0, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0], [9, 0, 0, 0, 9, 9, 9, 9, 0, 9, 0, 0, 9, 0, 9], [9, 0, 0, 9, 0, 0, 0, 9, 0, 0, 9, 9, 9, 9, 9], [9, 0, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0], [9, 9, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 9, 9]] -> [[0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2], [2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0], [2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0], [0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0], [2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2], [2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2], [0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2], [2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0], [0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0], [2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0], [0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2], [2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2], [2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2], [2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2]]\nExample input-output arrays:\n[[3, 0, 3, 3, 3, 3, 3, 0, 3, 0, 0, 0, 3, 0, 3], [3, 0, 3, 3, 3, 0, 0, 3, 3, 0, 0, 3, 0, 0, 3], [3, 0, 3, 0, 0, 3, 0, 0, 3, 0, 3, 3, 3, 3, 0], [3, 3, 3, 0, 3, 0, 0, 0, 0, 3, 3, 3, 3, 3, 0], [3, 3, 0, 3, 3, 0, 0, 0, 0, 3, 0, 0, 0, 0, 3], [0, 0, 3, 3, 0, 0, 3, 0, 3, 0, 0, 3, 3, 0, 0], [3, 0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 3, 0, 3, 3], [0, 0, 3, 3, 3, 0, 3, 0, 0, 0, 0, 0, 3, 3, 0], [3, 3, 3, 0, 3, 3, 0, 3, 0, 3, 3, 0, 3, 0, 3], [0, 0, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 0, 0], [3, 0, 3, 0, 0, 0, 0, 0, 0, 3, 0, 3, 0, 0, 0], [0, 0, 3, 3, 3, 3, 0, 0, 3, 3, 0, 0, 0, 3, 0], [0, 0, 3, 0, 0, 0, 0, 3, 0, 0, 3, 3, 0, 0, 3], [0, 3, 0, 0, 0, 0, 0, 3, 3, 3, 0, 3, 0, 0, 3], [3, 0, 3, 3, 3, 3, 0, 3, 3, 0, 0, 0, 0, 3, 3], [6, 6, 6, 6, 6, 6, 0, 0, 6, 6, 0, 0, 6, 6, 6], [0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6, 6, 0], [0, 6, 6, 6, 6, 0, 6, 6, 0, 6, 0, 6, 0, 0, 0], [0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 6, 6], [0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 6, 6, 0], [0, 0, 0, 0, 6, 0, 6, 0, 6, 6, 6, 6, 0, 0, 6], [0, 6, 0, 0, 0, 6, 6, 0, 6, 0, 0, 6, 6, 6, 6], [6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 6, 6, 0, 6, 6], [0, 0, 0, 6, 6, 0, 6, 6, 0, 6, 0, 0, 0, 6, 0], [0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 6, 0, 6, 6, 6], [6, 0, 6, 0, 6, 0, 0, 6, 0, 0, 0, 0, 0, 0, 6], [0, 6, 6, 6, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 0], [0, 6, 6, 0, 0, 6, 0, 6, 0, 6, 6, 0, 0, 0, 6], [0, 6, 0, 6, 6, 6, 0, 6, 6, 6, 6, 6, 0, 6, 6], [0, 6, 6, 0, 0, 0, 6, 6, 6, 0, 6, 0, 6, 6, 0], [9, 0, 0, 0, 9, 0, 9, 0, 0, 0, 9, 9, 0, 9, 0], [9, 0, 9, 9, 9, 0, 0, 0, 0, 9, 9, 0, 0, 9, 9], [9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 9, 9, 9, 0], [9, 0, 0, 0, 0, 0, 9, 0, 9, 0, 9, 9, 0, 9, 9], [9, 9, 9, 0, 9, 0, 0, 9, 0, 0, 0, 0, 9, 0, 0], [9, 9, 9, 0, 9, 9, 0, 0, 9, 9, 9, 9, 0, 0, 9], [0, 0, 0, 9, 9, 9, 9, 9, 0, 0, 0, 0, 9, 9, 9], [9, 0, 9, 0, 0, 0, 0, 9, 9, 9, 0, 0, 9, 9, 0], [0, 0, 0, 9, 0, 0, 0, 0, 0, 9, 0, 0, 9, 9, 0], [0, 9, 0, 9, 9, 9, 9, 9, 0, 9, 9, 0, 0, 0, 9], [0, 0, 0, 9, 0, 0, 0, 0, 9, 9, 9, 9, 9, 9, 0], [9, 9, 0, 0, 9, 9, 0, 9, 0, 9, 9, 0, 9, 9, 9], [0, 9, 9, 0, 0, 9, 0, 9, 0, 0, 9, 9, 0, 0, 9], [0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 9, 9, 0, 9], [9, 9, 0, 0, 0, 0, 9, 9, 9, 0, 9, 0, 0, 9, 9]] -> [[0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2], [2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2], [2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0], [2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2], [2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0], [2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2], [0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0], [2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0], [0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0], [0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2], [2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0], [2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2], [0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0], [0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0], [2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2]]\n",
+            "Replicate 3": "You must solve the following causal discovery problem, where the cells in an input array are causal parents of cells in an output array. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. You must predict the causal function(s) that relate parent cells in the input to their children in the output. Be concise: do not explain your reasoning, and start your answer with 'The logical operators are'.\nExample input-output arrays:\n[[3, 3, 0, 0, 3, 0, 3, 0, 0, 0, 3, 0, 0, 3, 3], [3, 0, 0, 3, 0, 0, 3, 0, 3, 3, 0, 0, 0, 3, 0], [0, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0], [0, 3, 3, 0, 3, 0, 3, 0, 3, 3, 0, 3, 0, 3, 3], [3, 3, 3, 3, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0], [3, 0, 0, 0, 0, 0, 3, 0, 0, 3, 3, 3, 0, 3, 3], [0, 0, 3, 3, 3, 3, 0, 3, 3, 0, 0, 0, 0, 3, 0], [3, 0, 0, 0, 0, 0, 3, 0, 0, 3, 3, 0, 0, 3, 3], [3, 0, 3, 3, 0, 3, 3, 0, 3, 3, 0, 0, 3, 3, 0], [0, 0, 3, 0, 3, 0, 3, 0, 0, 3, 3, 0, 3, 3, 0], [0, 3, 3, 3, 0, 0, 3, 0, 0, 0, 3, 0, 3, 0, 0], [3, 3, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 3, 0, 0], [0, 0, 3, 3, 0, 3, 0, 3, 3, 0, 0, 3, 3, 3, 0], [3, 0, 0, 0, 3, 3, 3, 3, 0, 0, 3, 3, 3, 0, 0], [0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3], [6, 6, 0, 6, 6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6], [0, 0, 6, 0, 6, 6, 6, 0, 0, 6, 0, 6, 0, 0, 0], [6, 6, 6, 6, 0, 0, 6, 0, 6, 6, 0, 0, 6, 6, 0], [6, 6, 6, 0, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 6], [0, 6, 0, 6, 6, 0, 0, 6, 0, 6, 6, 6, 6, 0, 6], [0, 0, 6, 0, 6, 0, 6, 6, 6, 0, 0, 0, 0, 6, 6], [0, 0, 6, 6, 6, 6, 6, 6, 0, 0, 0, 6, 0, 0, 6], [0, 6, 6, 6, 0, 6, 6, 0, 6, 6, 0, 0, 0, 0, 0], [0, 0, 6, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 0, 0], [0, 6, 6, 0, 6, 0, 6, 6, 0, 0, 0, 6, 6, 6, 0], [6, 0, 6, 6, 0, 6, 0, 6, 0, 6, 6, 0, 0, 6, 6], [6, 6, 0, 6, 0, 6, 0, 0, 6, 0, 0, 0, 6, 0, 6], [0, 0, 0, 6, 6, 6, 6, 6, 6, 0, 0, 6, 6, 0, 6], [6, 0, 6, 0, 6, 0, 0, 0, 0, 6, 0, 0, 6, 0, 6], [0, 6, 6, 0, 0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6], [0, 9, 0, 0, 9, 9, 9, 9, 0, 0, 0, 0, 9, 9, 0], [0, 9, 9, 9, 9, 0, 9, 0, 0, 9, 0, 9, 9, 9, 0], [0, 9, 9, 0, 9, 9, 0, 0, 0, 0, 0, 0, 9, 0, 9], [0, 0, 0, 9, 0, 0, 9, 0, 0, 9, 9, 0, 9, 0, 0], [0, 9, 9, 0, 0, 0, 0, 0, 0, 9, 9, 0, 9, 9, 9], [0, 9, 0, 0, 0, 9, 9, 0, 0, 0, 0, 9, 0, 0, 9], [9, 9, 0, 0, 0, 9, 9, 0, 0, 9, 0, 0, 0, 0, 0], [9, 9, 9, 9, 0, 0, 0, 0, 9, 9, 0, 0, 9, 0, 9], [0, 0, 9, 9, 9, 0, 9, 9, 9, 0, 9, 9, 0, 0, 0], [9, 0, 0, 0, 9, 9, 0, 0, 9, 9, 0, 9, 0, 0, 0], [9, 9, 9, 0, 0, 9, 0, 0, 0, 9, 9, 0, 9, 9, 0], [0, 0, 9, 9, 9, 9, 9, 0, 9, 9, 9, 9, 0, 0, 9], [0, 9, 9, 0, 9, 9, 0, 0, 0, 9, 0, 0, 0, 0, 9], [9, 9, 9, 0, 0, 9, 0, 0, 0, 0, 0, 9, 9, 9, 0], [9, 0, 9, 9, 9, 9, 9, 9, 0, 0, 9, 9, 0, 0, 0]] -> [[2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2], [0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0], [0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2], [0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2], [0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2], [0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0], [2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0], [2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2], [0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0], [2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0], [2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0], [2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2], [0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2], [0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0], [2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2]]\nExample input-output arrays:\n[[3, 3, 0, 3, 0, 3, 3, 3, 0, 3, 3, 0, 3, 3, 0], [0, 0, 0, 0, 3, 3, 0, 0, 3, 3, 3, 0, 0, 3, 3], [0, 0, 3, 3, 0, 3, 0, 3, 3, 3, 3, 3, 0, 0, 0], [3, 0, 3, 3, 0, 3, 3, 3, 0, 3, 3, 3, 3, 0, 0], [0, 3, 3, 3, 3, 3, 3, 0, 3, 0, 0, 3, 3, 3, 3], [3, 0, 3, 3, 0, 0, 3, 0, 0, 3, 0, 0, 3, 3, 0], [0, 3, 3, 0, 0, 3, 3, 0, 3, 0, 0, 0, 0, 0, 0], [0, 3, 0, 3, 3, 3, 3, 3, 0, 3, 0, 0, 3, 3, 0], [0, 0, 0, 3, 0, 0, 3, 3, 3, 3, 0, 0, 3, 3, 0], [3, 0, 3, 0, 3, 0, 0, 3, 0, 3, 0, 3, 0, 3, 0], [0, 0, 0, 0, 0, 3, 3, 3, 3, 0, 0, 3, 3, 3, 0], [0, 0, 3, 0, 0, 3, 0, 3, 0, 3, 3, 0, 0, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0], [0, 3, 3, 3, 3, 3, 0, 3, 3, 0, 0, 0, 3, 3, 3], [3, 0, 3, 0, 0, 3, 0, 3, 0, 3, 3, 0, 0, 0, 0], [6, 6, 0, 6, 0, 0, 6, 6, 0, 0, 6, 0, 0, 0, 6], [0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 6, 6, 0, 0, 0], [6, 0, 0, 6, 6, 0, 6, 6, 6, 0, 6, 0, 0, 0, 6], [6, 0, 0, 6, 6, 6, 0, 0, 6, 0, 0, 6, 0, 6, 6], [0, 6, 0, 0, 0, 6, 6, 0, 0, 0, 0, 6, 0, 0, 6], [6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 6, 6, 6], [0, 6, 6, 6, 6, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0], [0, 6, 0, 0, 0, 6, 0, 0, 6, 6, 0, 0, 0, 6, 6], [0, 6, 0, 0, 6, 0, 6, 6, 6, 6, 0, 6, 6, 6, 0], [0, 0, 6, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 0], [0, 0, 6, 0, 0, 0, 6, 6, 6, 0, 0, 6, 6, 0, 6], [6, 0, 6, 0, 6, 0, 0, 0, 6, 0, 0, 0, 6, 0, 6], [6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 6, 6, 0, 6], [6, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0], [6, 0, 0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 0, 6, 0], [0, 9, 0, 0, 0, 9, 0, 0, 0, 0, 9, 9, 9, 9, 9], [9, 9, 9, 9, 0, 9, 0, 9, 0, 9, 9, 9, 9, 9, 0], [9, 0, 9, 9, 9, 9, 0, 9, 0, 0, 0, 0, 9, 0, 0], [0, 9, 9, 9, 9, 0, 0, 0, 0, 9, 0, 0, 9, 9, 9], [9, 0, 0, 9, 9, 9, 9, 9, 9, 9, 0, 0, 9, 9, 9], [0, 9, 9, 0, 0, 9, 0, 0, 9, 0, 9, 9, 0, 9, 0], [9, 9, 9, 9, 0, 0, 9, 0, 9, 0, 9, 9, 0, 9, 9], [9, 0, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 9, 9, 0], [0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 0, 9, 0, 9, 0], [9, 9, 0, 0, 9, 0, 9, 0, 0, 0, 0, 9, 0, 0, 9], [9, 9, 0, 0, 9, 9, 9, 0, 9, 9, 0, 9, 0, 0, 0], [9, 0, 9, 0, 9, 9, 9, 0, 9, 9, 9, 9, 0, 9, 0], [0, 0, 9, 9, 9, 0, 9, 0, 0, 0, 9, 9, 0, 9, 9], [9, 0, 0, 9, 0, 0, 9, 0, 0, 0, 9, 9, 9, 0, 0], [0, 0, 9, 9, 0, 9, 0, 0, 0, 0, 0, 0, 9, 9, 0]] -> [[2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2], [2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0], [2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0], [2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2], [2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0], [2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0], [2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2], [2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0], [0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0], [2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2], [2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0], [2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0], [0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2], [2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0], [2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0]]\nExample input-output arrays:\n[[0, 3, 3, 0, 3, 3, 0, 3, 0, 3, 0, 3, 3, 0, 3], [0, 0, 3, 3, 0, 3, 3, 0, 3, 0, 3, 0, 0, 3, 3], [0, 3, 0, 0, 3, 3, 0, 3, 0, 0, 0, 0, 0, 3, 0], [0, 3, 0, 3, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3, 0, 3, 0, 3, 0, 0, 0, 0, 3, 3, 0, 3, 3], [3, 0, 3, 3, 3, 3, 3, 3, 0, 3, 0, 0, 3, 0, 0], [3, 3, 3, 0, 0, 0, 0, 3, 3, 0, 3, 3, 0, 3, 0], [0, 3, 3, 3, 0, 3, 3, 0, 0, 3, 0, 0, 3, 3, 0], [3, 3, 3, 3, 0, 0, 0, 3, 0, 3, 3, 3, 0, 3, 0], [3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 0, 3, 0, 0, 0], [3, 0, 0, 0, 0, 0, 3, 0, 3, 3, 0, 3, 3, 0, 3], [3, 0, 0, 0, 3, 0, 3, 0, 0, 3, 3, 0, 3, 3, 3], [3, 3, 3, 0, 0, 0, 3, 0, 3, 0, 0, 3, 0, 0, 3], [0, 0, 3, 0, 3, 0, 0, 0, 3, 3, 0, 3, 3, 0, 0], [0, 0, 3, 3, 0, 3, 0, 0, 0, 0, 0, 3, 0, 3, 0], [0, 6, 6, 6, 0, 0, 6, 6, 0, 6, 6, 6, 0, 0, 6], [6, 6, 0, 6, 0, 6, 0, 6, 0, 0, 6, 0, 6, 6, 6], [6, 6, 6, 6, 0, 0, 6, 6, 0, 0, 0, 0, 6, 0, 6], [0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 6, 0, 0, 0, 0], [0, 6, 0, 0, 6, 6, 0, 0, 0, 6, 6, 6, 0, 0, 0], [0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 6, 6, 0, 0, 6], [0, 6, 0, 6, 0, 0, 0, 6, 0, 0, 6, 0, 6, 0, 6], [6, 0, 0, 6, 0, 6, 6, 0, 0, 0, 0, 0, 6, 0, 6], [6, 6, 0, 6, 6, 0, 6, 6, 0, 0, 0, 6, 6, 0, 0], [0, 0, 0, 0, 6, 0, 6, 0, 6, 0, 6, 6, 6, 6, 6], [0, 0, 6, 6, 0, 6, 0, 0, 6, 6, 0, 6, 6, 6, 6], [0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 6, 0], [0, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0, 6, 6, 0, 0], [0, 6, 6, 0, 6, 0, 6, 0, 6, 0, 0, 6, 0, 0, 6], [6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6], [9, 0, 0, 0, 0, 9, 0, 0, 9, 9, 0, 9, 9, 9, 0], [9, 0, 0, 0, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 0], [0, 0, 9, 9, 9, 0, 9, 0, 0, 0, 0, 9, 9, 9, 9], [9, 9, 0, 9, 9, 0, 9, 9, 9, 0, 0, 0, 0, 9, 9], [0, 0, 9, 0, 9, 0, 9, 0, 0, 9, 9, 9, 9, 0, 9], [0, 9, 0, 9, 9, 9, 9, 0, 0, 0, 9, 0, 9, 9, 0], [9, 0, 9, 0, 0, 9, 0, 9, 9, 0, 9, 9, 9, 9, 0], [9, 0, 0, 9, 0, 0, 0, 0, 0, 9, 9, 0, 0, 9, 9], [0, 0, 0, 9, 0, 0, 9, 0, 9, 0, 9, 9, 0, 9, 0], [9, 0, 0, 9, 0, 0, 9, 0, 0, 9, 9, 9, 0, 9, 9], [9, 9, 0, 9, 0, 9, 0, 0, 0, 0, 0, 9, 9, 0, 9], [9, 9, 0, 9, 9, 9, 9, 0, 0, 0, 9, 0, 9, 9, 9], [0, 0, 0, 0, 9, 0, 9, 9, 9, 9, 0, 0, 0, 0, 9], [0, 0, 9, 0, 9, 0, 0, 0, 0, 9, 0, 9, 0, 9, 0], [9, 0, 9, 0, 0, 0, 0, 9, 0, 0, 9, 0, 9, 9, 9]] -> [[2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2], [2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2], [0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2], [2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2], [0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2], [0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0], [2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0], [2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2], [2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0], [2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2], [2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0], [2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2], [0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2], [0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0], [2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2]]\nExample input-output arrays:\n[[3, 3, 0, 3, 0, 3, 3, 3, 0, 3, 3, 0, 3, 3, 0], [0, 0, 0, 0, 3, 3, 0, 0, 3, 3, 3, 0, 0, 3, 3], [0, 0, 3, 3, 0, 3, 0, 3, 3, 3, 3, 3, 0, 0, 0], [3, 0, 3, 3, 0, 3, 3, 3, 0, 3, 3, 3, 3, 0, 0], [0, 3, 3, 3, 3, 3, 3, 0, 3, 0, 0, 3, 3, 3, 3], [3, 0, 3, 3, 0, 0, 3, 0, 0, 3, 0, 0, 3, 3, 0], [0, 3, 3, 0, 0, 3, 3, 0, 3, 0, 0, 0, 0, 0, 0], [0, 3, 0, 3, 3, 3, 3, 3, 0, 3, 0, 0, 3, 3, 0], [0, 0, 0, 3, 0, 0, 3, 3, 3, 3, 0, 0, 3, 3, 0], [3, 0, 3, 0, 3, 0, 0, 3, 0, 3, 0, 3, 0, 3, 0], [0, 0, 0, 0, 0, 3, 3, 3, 3, 0, 0, 3, 3, 3, 0], [0, 0, 3, 0, 0, 3, 0, 3, 0, 3, 3, 0, 0, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0], [0, 3, 3, 3, 3, 3, 0, 3, 3, 0, 0, 0, 3, 3, 3], [3, 0, 3, 0, 0, 3, 0, 3, 0, 3, 3, 0, 0, 0, 0], [6, 6, 0, 6, 0, 0, 6, 6, 0, 0, 6, 0, 0, 0, 6], [0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 6, 6, 0, 0, 0], [6, 0, 0, 6, 6, 0, 6, 6, 6, 0, 6, 0, 0, 0, 6], [6, 0, 0, 6, 6, 6, 0, 0, 6, 0, 0, 6, 0, 6, 6], [0, 6, 0, 0, 0, 6, 6, 0, 0, 0, 0, 6, 0, 0, 6], [6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 6, 6, 6], [0, 6, 6, 6, 6, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0], [0, 6, 0, 0, 0, 6, 0, 0, 6, 6, 0, 0, 0, 6, 6], [0, 6, 0, 0, 6, 0, 6, 6, 6, 6, 0, 6, 6, 6, 0], [0, 0, 6, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 0], [0, 0, 6, 0, 0, 0, 6, 6, 6, 0, 0, 6, 6, 0, 6], [6, 0, 6, 0, 6, 0, 0, 0, 6, 0, 0, 0, 6, 0, 6], [6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 6, 6, 0, 6], [6, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0], [6, 0, 0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 0, 6, 0], [0, 9, 0, 0, 0, 9, 0, 0, 0, 0, 9, 9, 9, 9, 9], [9, 9, 9, 9, 0, 9, 0, 9, 0, 9, 9, 9, 9, 9, 0], [9, 0, 9, 9, 9, 9, 0, 9, 0, 0, 0, 0, 9, 0, 0], [0, 9, 9, 9, 9, 0, 0, 0, 0, 9, 0, 0, 9, 9, 9], [9, 0, 0, 9, 9, 9, 9, 9, 9, 9, 0, 0, 9, 9, 9], [0, 9, 9, 0, 0, 9, 0, 0, 9, 0, 9, 9, 0, 9, 0], [9, 9, 9, 9, 0, 0, 9, 0, 9, 0, 9, 9, 0, 9, 9], [9, 0, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 9, 9, 0], [0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 0, 9, 0, 9, 0], [9, 9, 0, 0, 9, 0, 9, 0, 0, 0, 0, 9, 0, 0, 9], [9, 9, 0, 0, 9, 9, 9, 0, 9, 9, 0, 9, 0, 0, 0], [9, 0, 9, 0, 9, 9, 9, 0, 9, 9, 9, 9, 0, 9, 0], [0, 0, 9, 9, 9, 0, 9, 0, 0, 0, 9, 9, 0, 9, 9], [9, 0, 0, 9, 0, 0, 9, 0, 0, 0, 9, 9, 9, 0, 0], [0, 0, 9, 9, 0, 9, 0, 0, 0, 0, 0, 0, 9, 9, 0]] -> [[2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2], [2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0], [2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0], [2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2], [2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0], [2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0], [2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2], [2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0], [0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0], [2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2], [2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0], [2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0], [0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2], [2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0], [2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0]]\n",
+            "Replicate 4": "You must solve the following causal discovery problem, where the cells in an input array are causal parents of cells in an output array. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. You must predict the causal function(s) that relate parent cells in the input to their children in the output. Be concise: do not explain your reasoning, and start your answer with 'The logical operators are'.\nExample input-output arrays:\n[[0, 3, 3, 3, 0, 0, 3, 0, 3, 0, 3, 3, 3, 3, 0], [0, 3, 3, 0, 0, 0, 0, 3, 3, 3, 0, 0, 0, 3, 0], [3, 0, 3, 0, 0, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3], [3, 3, 0, 0, 0, 0, 0, 3, 3, 3, 3, 0, 0, 0, 0], [0, 3, 0, 0, 0, 0, 3, 3, 0, 0, 0, 3, 0, 0, 3], [0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 0, 0, 3, 3], [3, 0, 3, 0, 0, 3, 0, 0, 0, 3, 3, 3, 3, 3, 0], [3, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 3], [3, 3, 0, 0, 3, 0, 3, 0, 0, 3, 3, 3, 0, 3, 3], [0, 3, 0, 3, 3, 0, 3, 0, 3, 0, 3, 0, 0, 0, 0], [0, 3, 3, 0, 0, 3, 3, 0, 0, 3, 0, 0, 3, 3, 0], [3, 0, 3, 3, 0, 3, 0, 0, 0, 0, 0, 0, 3, 3, 0], [3, 3, 0, 0, 3, 0, 0, 0, 3, 3, 0, 0, 3, 3, 0], [3, 3, 0, 0, 3, 3, 0, 0, 0, 0, 3, 0, 3, 0, 3], [3, 0, 0, 0, 0, 0, 3, 3, 3, 0, 0, 3, 0, 0, 0], [0, 6, 6, 0, 6, 0, 0, 0, 6, 6, 0, 6, 0, 0, 6], [6, 0, 0, 0, 0, 6, 6, 6, 0, 0, 6, 6, 6, 0, 0], [0, 6, 6, 6, 6, 6, 0, 6, 0, 6, 6, 0, 6, 6, 0], [0, 6, 0, 6, 0, 6, 6, 6, 0, 0, 0, 0, 6, 0, 0], [6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 0, 6, 0, 6], [6, 6, 6, 0, 0, 0, 6, 0, 6, 0, 0, 6, 6, 0, 6], [0, 6, 0, 0, 6, 0, 0, 6, 6, 0, 6, 6, 0, 0, 6], [0, 6, 0, 6, 6, 0, 0, 6, 0, 6, 6, 6, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 0, 0], [0, 6, 0, 0, 6, 0, 0, 0, 6, 6, 0, 0, 0, 6, 0], [0, 0, 6, 0, 6, 0, 0, 6, 0, 0, 6, 6, 6, 0, 0], [6, 0, 0, 6, 6, 0, 0, 6, 0, 0, 0, 6, 0, 6, 6], [0, 6, 0, 0, 0, 0, 6, 0, 0, 6, 6, 6, 0, 0, 6], [0, 6, 0, 6, 0, 0, 0, 6, 0, 0, 0, 6, 0, 6, 6], [0, 6, 0, 0, 6, 6, 6, 6, 6, 6, 0, 0, 6, 0, 0], [0, 9, 9, 9, 0, 9, 0, 0, 0, 0, 0, 0, 9, 0, 9], [9, 9, 9, 0, 0, 9, 9, 9, 0, 9, 9, 0, 0, 9, 0], [9, 0, 0, 9, 0, 0, 9, 9, 9, 0, 9, 9, 9, 0, 0], [0, 9, 0, 9, 9, 0, 9, 9, 0, 9, 0, 0, 9, 0, 0], [9, 9, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 0], [9, 9, 0, 9, 9, 0, 9, 0, 0, 9, 9, 0, 0, 0, 0], [0, 9, 9, 9, 0, 9, 9, 0, 0, 9, 9, 9, 0, 0, 0], [0, 0, 9, 9, 9, 0, 0, 0, 0, 9, 9, 9, 9, 9, 9], [9, 0, 9, 9, 9, 0, 9, 0, 0, 9, 0, 9, 0, 0, 0], [0, 9, 0, 9, 9, 9, 9, 9, 9, 9, 9, 0, 0, 9, 0], [9, 0, 0, 0, 0, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0], [9, 0, 0, 0, 9, 9, 9, 9, 0, 9, 0, 0, 9, 0, 9], [9, 0, 0, 9, 0, 0, 0, 9, 0, 0, 9, 9, 9, 9, 9], [9, 0, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0], [9, 9, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 9, 9]] -> [[0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2], [2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0], [2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0], [0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0], [2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2], [2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2], [0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2], [2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0], [0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0], [2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0], [0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2], [2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2], [2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2], [2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2]]\nExample input-output arrays:\n[[0, 3, 0, 3, 0, 3, 0, 0, 3, 0, 3, 3, 3, 3, 0], [0, 0, 0, 0, 3, 0, 0, 3, 3, 3, 3, 3, 3, 0, 3], [0, 0, 0, 3, 3, 0, 3, 3, 0, 0, 0, 0, 0, 0, 3], [3, 0, 0, 3, 0, 0, 3, 0, 0, 0, 0, 3, 0, 3, 0], [0, 3, 0, 0, 3, 3, 0, 3, 3, 3, 3, 0, 0, 3, 0], [3, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0, 3, 0, 3, 0], [0, 0, 3, 3, 3, 0, 0, 3, 0, 0, 3, 3, 0, 0, 0], [0, 0, 0, 3, 3, 0, 0, 3, 0, 3, 3, 0, 0, 3, 0], [0, 0, 0, 0, 3, 0, 3, 0, 3, 3, 0, 3, 3, 3, 3], [0, 0, 3, 3, 3, 0, 3, 3, 0, 3, 3, 3, 0, 0, 0], [3, 0, 3, 3, 0, 3, 3, 3, 0, 3, 0, 0, 3, 3, 0], [3, 0, 0, 0, 0, 0, 3, 0, 0, 3, 3, 0, 3, 0, 0], [3, 0, 3, 3, 3, 0, 3, 0, 0, 0, 3, 3, 3, 0, 3], [0, 0, 3, 0, 0, 3, 3, 0, 0, 0, 3, 3, 0, 0, 3], [0, 0, 3, 3, 0, 0, 3, 3, 3, 0, 0, 0, 3, 3, 0], [6, 6, 6, 0, 6, 6, 0, 6, 0, 6, 6, 0, 6, 6, 0], [6, 0, 6, 6, 0, 6, 6, 0, 0, 6, 0, 0, 6, 0, 0], [6, 6, 0, 6, 0, 0, 6, 0, 6, 0, 6, 0, 0, 0, 6], [6, 6, 6, 0, 6, 6, 6, 6, 6, 0, 6, 0, 0, 6, 6], [6, 0, 0, 6, 6, 6, 6, 6, 0, 6, 0, 0, 0, 0, 0], [0, 6, 0, 6, 0, 0, 6, 6, 0, 6, 6, 0, 0, 0, 0], [0, 6, 0, 6, 0, 6, 0, 6, 6, 0, 6, 0, 6, 6, 0], [0, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 0, 0, 0, 0], [6, 6, 0, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 6, 0], [0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 0, 0, 6, 6, 6], [6, 6, 0, 6, 6, 6, 0, 6, 6, 6, 6, 0, 6, 0, 0], [0, 0, 6, 0, 6, 6, 6, 0, 6, 0, 0, 0, 0, 0, 6], [6, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0], [6, 6, 6, 6, 0, 0, 0, 6, 0, 6, 6, 6, 0, 6, 0], [0, 0, 6, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6, 0], [0, 9, 0, 0, 0, 0, 0, 9, 0, 9, 9, 9, 0, 9, 0], [0, 9, 0, 9, 0, 0, 0, 9, 9, 0, 9, 0, 0, 0, 9], [9, 9, 9, 0, 9, 0, 9, 9, 0, 0, 0, 9, 0, 0, 9], [0, 9, 9, 9, 9, 0, 0, 9, 0, 0, 0, 0, 0, 0, 9], [9, 9, 9, 9, 0, 9, 9, 0, 9, 0, 9, 0, 9, 9, 0], [0, 0, 9, 9, 9, 9, 0, 9, 9, 9, 9, 0, 9, 0, 0], [0, 0, 9, 9, 0, 0, 0, 9, 9, 9, 0, 0, 9, 9, 9], [0, 9, 0, 0, 9, 9, 9, 9, 9, 0, 0, 0, 9, 0, 0], [0, 9, 9, 0, 0, 9, 0, 9, 0, 0, 9, 0, 0, 9, 9], [9, 9, 9, 0, 9, 9, 0, 9, 0, 0, 9, 0, 9, 9, 9], [0, 9, 9, 9, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 9], [9, 0, 9, 9, 0, 0, 9, 0, 9, 0, 9, 0, 0, 0, 9], [0, 0, 9, 0, 9, 0, 0, 0, 9, 0, 9, 9, 9, 0, 0], [0, 0, 9, 0, 9, 0, 0, 9, 9, 9, 0, 9, 0, 9, 9], [0, 0, 0, 0, 0, 9, 0, 0, 9, 9, 9, 9, 9, 0, 9]] -> [[0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0], [0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2], [2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0], [2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2], [2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0], [0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0], [0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2], [0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0], [0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2], [2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2], [2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2], [2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2], [2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0], [0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2], [0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]\nExample input-output arrays:\n[[0, 3, 3, 3, 0, 0, 3, 0, 3, 0, 3, 3, 3, 3, 0], [0, 3, 3, 0, 0, 0, 0, 3, 3, 3, 0, 0, 0, 3, 0], [3, 0, 3, 0, 0, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3], [3, 3, 0, 0, 0, 0, 0, 3, 3, 3, 3, 0, 0, 0, 0], [0, 3, 0, 0, 0, 0, 3, 3, 0, 0, 0, 3, 0, 0, 3], [0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 0, 0, 3, 3], [3, 0, 3, 0, 0, 3, 0, 0, 0, 3, 3, 3, 3, 3, 0], [3, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 3], [3, 3, 0, 0, 3, 0, 3, 0, 0, 3, 3, 3, 0, 3, 3], [0, 3, 0, 3, 3, 0, 3, 0, 3, 0, 3, 0, 0, 0, 0], [0, 3, 3, 0, 0, 3, 3, 0, 0, 3, 0, 0, 3, 3, 0], [3, 0, 3, 3, 0, 3, 0, 0, 0, 0, 0, 0, 3, 3, 0], [3, 3, 0, 0, 3, 0, 0, 0, 3, 3, 0, 0, 3, 3, 0], [3, 3, 0, 0, 3, 3, 0, 0, 0, 0, 3, 0, 3, 0, 3], [3, 0, 0, 0, 0, 0, 3, 3, 3, 0, 0, 3, 0, 0, 0], [0, 6, 6, 0, 6, 0, 0, 0, 6, 6, 0, 6, 0, 0, 6], [6, 0, 0, 0, 0, 6, 6, 6, 0, 0, 6, 6, 6, 0, 0], [0, 6, 6, 6, 6, 6, 0, 6, 0, 6, 6, 0, 6, 6, 0], [0, 6, 0, 6, 0, 6, 6, 6, 0, 0, 0, 0, 6, 0, 0], [6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 0, 6, 0, 6], [6, 6, 6, 0, 0, 0, 6, 0, 6, 0, 0, 6, 6, 0, 6], [0, 6, 0, 0, 6, 0, 0, 6, 6, 0, 6, 6, 0, 0, 6], [0, 6, 0, 6, 6, 0, 0, 6, 0, 6, 6, 6, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 0, 0], [0, 6, 0, 0, 6, 0, 0, 0, 6, 6, 0, 0, 0, 6, 0], [0, 0, 6, 0, 6, 0, 0, 6, 0, 0, 6, 6, 6, 0, 0], [6, 0, 0, 6, 6, 0, 0, 6, 0, 0, 0, 6, 0, 6, 6], [0, 6, 0, 0, 0, 0, 6, 0, 0, 6, 6, 6, 0, 0, 6], [0, 6, 0, 6, 0, 0, 0, 6, 0, 0, 0, 6, 0, 6, 6], [0, 6, 0, 0, 6, 6, 6, 6, 6, 6, 0, 0, 6, 0, 0], [0, 9, 9, 9, 0, 9, 0, 0, 0, 0, 0, 0, 9, 0, 9], [9, 9, 9, 0, 0, 9, 9, 9, 0, 9, 9, 0, 0, 9, 0], [9, 0, 0, 9, 0, 0, 9, 9, 9, 0, 9, 9, 9, 0, 0], [0, 9, 0, 9, 9, 0, 9, 9, 0, 9, 0, 0, 9, 0, 0], [9, 9, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 0], [9, 9, 0, 9, 9, 0, 9, 0, 0, 9, 9, 0, 0, 0, 0], [0, 9, 9, 9, 0, 9, 9, 0, 0, 9, 9, 9, 0, 0, 0], [0, 0, 9, 9, 9, 0, 0, 0, 0, 9, 9, 9, 9, 9, 9], [9, 0, 9, 9, 9, 0, 9, 0, 0, 9, 0, 9, 0, 0, 0], [0, 9, 0, 9, 9, 9, 9, 9, 9, 9, 9, 0, 0, 9, 0], [9, 0, 0, 0, 0, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0], [9, 0, 0, 0, 9, 9, 9, 9, 0, 9, 0, 0, 9, 0, 9], [9, 0, 0, 9, 0, 0, 0, 9, 0, 0, 9, 9, 9, 9, 9], [9, 0, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0], [9, 9, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 9, 9]] -> [[0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2], [2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0], [2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0], [0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0], [2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2], [2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2], [0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2], [2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0], [0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0], [2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0], [0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2], [2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2], [2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2], [2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2]]\nExample input-output arrays:\n[[0, 3, 0, 3, 0, 3, 0, 0, 3, 0, 3, 3, 3, 3, 0], [0, 0, 0, 0, 3, 0, 0, 3, 3, 3, 3, 3, 3, 0, 3], [0, 0, 0, 3, 3, 0, 3, 3, 0, 0, 0, 0, 0, 0, 3], [3, 0, 0, 3, 0, 0, 3, 0, 0, 0, 0, 3, 0, 3, 0], [0, 3, 0, 0, 3, 3, 0, 3, 3, 3, 3, 0, 0, 3, 0], [3, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0, 3, 0, 3, 0], [0, 0, 3, 3, 3, 0, 0, 3, 0, 0, 3, 3, 0, 0, 0], [0, 0, 0, 3, 3, 0, 0, 3, 0, 3, 3, 0, 0, 3, 0], [0, 0, 0, 0, 3, 0, 3, 0, 3, 3, 0, 3, 3, 3, 3], [0, 0, 3, 3, 3, 0, 3, 3, 0, 3, 3, 3, 0, 0, 0], [3, 0, 3, 3, 0, 3, 3, 3, 0, 3, 0, 0, 3, 3, 0], [3, 0, 0, 0, 0, 0, 3, 0, 0, 3, 3, 0, 3, 0, 0], [3, 0, 3, 3, 3, 0, 3, 0, 0, 0, 3, 3, 3, 0, 3], [0, 0, 3, 0, 0, 3, 3, 0, 0, 0, 3, 3, 0, 0, 3], [0, 0, 3, 3, 0, 0, 3, 3, 3, 0, 0, 0, 3, 3, 0], [6, 6, 6, 0, 6, 6, 0, 6, 0, 6, 6, 0, 6, 6, 0], [6, 0, 6, 6, 0, 6, 6, 0, 0, 6, 0, 0, 6, 0, 0], [6, 6, 0, 6, 0, 0, 6, 0, 6, 0, 6, 0, 0, 0, 6], [6, 6, 6, 0, 6, 6, 6, 6, 6, 0, 6, 0, 0, 6, 6], [6, 0, 0, 6, 6, 6, 6, 6, 0, 6, 0, 0, 0, 0, 0], [0, 6, 0, 6, 0, 0, 6, 6, 0, 6, 6, 0, 0, 0, 0], [0, 6, 0, 6, 0, 6, 0, 6, 6, 0, 6, 0, 6, 6, 0], [0, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 0, 0, 0, 0], [6, 6, 0, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 6, 0], [0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 0, 0, 6, 6, 6], [6, 6, 0, 6, 6, 6, 0, 6, 6, 6, 6, 0, 6, 0, 0], [0, 0, 6, 0, 6, 6, 6, 0, 6, 0, 0, 0, 0, 0, 6], [6, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0], [6, 6, 6, 6, 0, 0, 0, 6, 0, 6, 6, 6, 0, 6, 0], [0, 0, 6, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6, 0], [0, 9, 0, 0, 0, 0, 0, 9, 0, 9, 9, 9, 0, 9, 0], [0, 9, 0, 9, 0, 0, 0, 9, 9, 0, 9, 0, 0, 0, 9], [9, 9, 9, 0, 9, 0, 9, 9, 0, 0, 0, 9, 0, 0, 9], [0, 9, 9, 9, 9, 0, 0, 9, 0, 0, 0, 0, 0, 0, 9], [9, 9, 9, 9, 0, 9, 9, 0, 9, 0, 9, 0, 9, 9, 0], [0, 0, 9, 9, 9, 9, 0, 9, 9, 9, 9, 0, 9, 0, 0], [0, 0, 9, 9, 0, 0, 0, 9, 9, 9, 0, 0, 9, 9, 9], [0, 9, 0, 0, 9, 9, 9, 9, 9, 0, 0, 0, 9, 0, 0], [0, 9, 9, 0, 0, 9, 0, 9, 0, 0, 9, 0, 0, 9, 9], [9, 9, 9, 0, 9, 9, 0, 9, 0, 0, 9, 0, 9, 9, 9], [0, 9, 9, 9, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 9], [9, 0, 9, 9, 0, 0, 9, 0, 9, 0, 9, 0, 0, 0, 9], [0, 0, 9, 0, 9, 0, 0, 0, 9, 0, 9, 9, 9, 0, 0], [0, 0, 9, 0, 9, 0, 0, 9, 9, 9, 0, 9, 0, 9, 9], [0, 0, 0, 0, 0, 9, 0, 0, 9, 9, 9, 9, 9, 0, 9]] -> [[0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0], [0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2], [2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0], [2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2], [2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0], [0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0], [0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2], [0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0], [0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2], [2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2], [2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2], [2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2], [2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0], [0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2], [0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]\n"
+        },
+        "L3": {
+            "Replicate 0": "You must solve the following causal discovery problem, where the cells in an input array are causal parents of cells in an output array. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. You must predict the causal function(s) that relate parent cells in the input to their children in the output. Be concise: do not explain your reasoning, and start your answer with 'The logical operators are'.\nExample input-output arrays:\n[[3, 0, 3, 3, 0, 0, 3, 0, 0, 3, 3, 3, 0, 3, 0], [3, 3, 0, 3, 3, 0, 0, 3, 0, 3, 0, 0, 0, 0, 0], [3, 3, 0, 3, 0, 0, 3, 3, 3, 3, 0, 3, 0, 0, 0], [0, 3, 3, 3, 3, 0, 0, 3, 3, 3, 3, 3, 0, 3, 0], [3, 0, 3, 0, 3, 0, 0, 3, 3, 0, 3, 3, 0, 3, 3], [3, 0, 0, 3, 0, 3, 3, 3, 3, 3, 0, 0, 3, 0, 3], [0, 0, 3, 0, 0, 3, 0, 0, 0, 0, 3, 3, 0, 0, 3], [0, 3, 3, 0, 0, 3, 3, 0, 0, 0, 3, 3, 0, 3, 3], [0, 3, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3], [0, 0, 0, 0, 0, 0, 3, 0, 0, 3, 3, 0, 0, 3, 3], [0, 3, 0, 0, 0, 0, 3, 0, 0, 3, 3, 3, 3, 0, 3], [0, 3, 0, 3, 3, 0, 0, 3, 3, 0, 3, 3, 3, 0, 0], [0, 3, 3, 3, 3, 0, 3, 0, 0, 3, 3, 0, 3, 0, 0], [3, 0, 3, 0, 3, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 0, 3, 0, 3, 3, 0, 3, 0, 3, 0, 0, 0], [0, 6, 6, 0, 6, 0, 0, 6, 6, 6, 6, 0, 6, 6, 0], [0, 6, 0, 0, 0, 6, 6, 0, 0, 6, 0, 6, 0, 0, 0], [0, 0, 0, 6, 6, 6, 0, 6, 0, 0, 6, 0, 0, 0, 6], [6, 6, 6, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 0, 0], [0, 0, 6, 6, 0, 0, 6, 0, 0, 0, 6, 0, 0, 6, 6], [6, 0, 6, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6], [6, 0, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0, 6, 0, 0], [6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 6], [0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 6, 0, 0, 0, 6], [6, 6, 6, 6, 0, 0, 6, 6, 0, 6, 6, 0, 6, 6, 6], [0, 6, 6, 6, 6, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6], [6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 6, 6, 6], [0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 6, 0, 6, 6, 6], [6, 0, 6, 0, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 6], [0, 0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 6, 6, 6], [9, 9, 9, 9, 0, 9, 0, 9, 0, 0, 9, 9, 0, 0, 0], [0, 0, 0, 0, 9, 0, 9, 0, 0, 9, 0, 9, 0, 0, 0], [9, 0, 9, 9, 0, 9, 0, 0, 9, 9, 9, 9, 0, 0, 9], [9, 0, 9, 9, 9, 9, 0, 0, 9, 9, 0, 9, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 9, 0, 9, 0], [0, 9, 9, 9, 0, 0, 9, 0, 0, 0, 9, 0, 0, 9, 0], [9, 0, 9, 0, 0, 0, 0, 9, 9, 0, 9, 9, 0, 9, 9], [0, 9, 0, 9, 0, 0, 0, 9, 0, 0, 0, 9, 0, 9, 0], [0, 9, 0, 9, 0, 0, 0, 0, 0, 9, 9, 9, 9, 0, 0], [9, 9, 0, 9, 9, 9, 0, 9, 0, 0, 0, 0, 0, 9, 9], [9, 9, 0, 9, 9, 0, 0, 9, 9, 9, 0, 0, 0, 9, 9], [9, 0, 0, 0, 0, 9, 0, 0, 9, 9, 9, 0, 0, 0, 0], [9, 9, 9, 9, 9, 9, 0, 0, 9, 9, 9, 9, 9, 0, 0], [9, 9, 0, 0, 0, 0, 9, 0, 9, 9, 9, 0, 9, 0, 9], [0, 0, 0, 9, 9, 0, 9, 9, 0, 9, 0, 9, 9, 0, 0]] -> [[2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0], [0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2], [2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2], [2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2], [2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2], [0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2], [0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2], [2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0], [2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0], [2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0], [2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0], [0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0], [0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0]]\nCounterfactual: Now imagine that we intervened on the original input by changing the causal function for some elements.\n[[3, 3, 0, 3, 0, 3, 3, 3, 0, 3, 3, 0, 3, 3, 0], [0, 0, 0, 0, 3, 3, 0, 0, 3, 3, 3, 0, 0, 3, 3], [0, 0, 3, 3, 0, 3, 0, 3, 3, 3, 3, 3, 0, 0, 0], [3, 0, 3, 3, 0, 3, 3, 3, 0, 3, 3, 3, 3, 0, 0], [0, 3, 3, 3, 3, 3, 3, 0, 3, 0, 0, 3, 3, 3, 3], [3, 0, 3, 3, 0, 0, 3, 0, 0, 3, 0, 0, 3, 3, 0], [0, 3, 3, 0, 0, 3, 3, 0, 3, 0, 0, 0, 0, 0, 0], [0, 3, 0, 3, 3, 3, 3, 3, 0, 3, 0, 0, 3, 3, 0], [0, 0, 0, 3, 0, 0, 3, 3, 3, 3, 0, 0, 3, 3, 0], [3, 0, 3, 0, 3, 0, 0, 3, 0, 3, 0, 3, 0, 3, 0], [0, 0, 0, 0, 0, 3, 3, 3, 3, 0, 0, 3, 3, 3, 0], [0, 0, 3, 0, 0, 3, 0, 3, 0, 3, 3, 0, 0, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0], [0, 3, 3, 3, 3, 3, 0, 3, 3, 0, 0, 0, 3, 3, 3], [3, 0, 3, 0, 0, 3, 0, 3, 0, 3, 3, 0, 0, 0, 0], [0, 0, 6, 0, 6, 6, 0, 0, 6, 6, 0, 6, 6, 6, 0], [6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 6, 6], [0, 6, 6, 0, 0, 6, 0, 0, 0, 6, 0, 6, 6, 6, 0], [0, 6, 6, 0, 0, 0, 6, 6, 0, 6, 6, 0, 6, 0, 0], [6, 0, 6, 6, 6, 0, 0, 6, 6, 6, 6, 0, 6, 6, 0], [0, 6, 6, 6, 6, 6, 6, 0, 0, 6, 6, 0, 0, 0, 0], [6, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 6, 6, 6, 6], [6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 6, 6, 6, 0, 0], [6, 0, 6, 6, 0, 6, 0, 0, 0, 0, 6, 0, 0, 0, 6], [6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 0, 0, 6], [6, 6, 0, 6, 6, 6, 0, 0, 0, 6, 6, 0, 0, 6, 0], [0, 6, 0, 6, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6, 0], [0, 0, 0, 0, 6, 6, 6, 6, 6, 0, 6, 0, 0, 6, 0], [0, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 0, 6, 6, 6], [0, 6, 6, 0, 0, 6, 6, 0, 0, 6, 0, 6, 6, 0, 6], [0, 9, 0, 0, 0, 9, 0, 0, 0, 0, 9, 9, 9, 9, 9], [9, 9, 9, 9, 0, 9, 0, 9, 0, 9, 9, 9, 9, 9, 0], [9, 0, 9, 9, 9, 9, 0, 9, 0, 0, 0, 0, 9, 0, 0], [0, 9, 9, 9, 9, 0, 0, 0, 0, 9, 0, 0, 9, 9, 9], [9, 0, 0, 9, 9, 9, 9, 9, 9, 9, 0, 0, 9, 9, 9], [0, 9, 9, 0, 0, 9, 0, 0, 9, 0, 9, 9, 0, 9, 0], [9, 9, 9, 9, 0, 0, 9, 0, 9, 0, 9, 9, 0, 9, 9], [9, 0, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 9, 9, 0], [0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 0, 9, 0, 9, 0], [9, 9, 0, 0, 9, 0, 9, 0, 0, 0, 0, 9, 0, 0, 9], [9, 9, 0, 0, 9, 9, 9, 0, 9, 9, 0, 9, 0, 0, 0], [9, 0, 9, 0, 9, 9, 9, 0, 9, 9, 9, 9, 0, 9, 0], [0, 0, 9, 9, 9, 0, 9, 0, 0, 0, 9, 9, 0, 9, 9], [9, 0, 0, 9, 0, 0, 9, 0, 0, 0, 9, 9, 9, 0, 0], [0, 0, 9, 9, 0, 9, 0, 0, 0, 0, 0, 0, 9, 9, 0]] -> [[0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2], [2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2], [2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0], [0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2], [2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2], [0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0], [2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2], [2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0], [0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0], [0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2], [2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0], [2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0], [0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2], [2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2], [0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0]]\nExample input-output arrays:\n[[0, 3, 3, 0, 3, 3, 0, 3, 0, 3, 0, 3, 3, 0, 3], [0, 0, 3, 3, 0, 3, 3, 0, 3, 0, 3, 0, 0, 3, 3], [0, 3, 0, 0, 3, 3, 0, 3, 0, 0, 0, 0, 0, 3, 0], [0, 3, 0, 3, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3, 0, 3, 0, 3, 0, 0, 0, 0, 3, 3, 0, 3, 3], [3, 0, 3, 3, 3, 3, 3, 3, 0, 3, 0, 0, 3, 0, 0], [3, 3, 3, 0, 0, 0, 0, 3, 3, 0, 3, 3, 0, 3, 0], [0, 3, 3, 3, 0, 3, 3, 0, 0, 3, 0, 0, 3, 3, 0], [3, 3, 3, 3, 0, 0, 0, 3, 0, 3, 3, 3, 0, 3, 0], [3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 0, 3, 0, 0, 0], [3, 0, 0, 0, 0, 0, 3, 0, 3, 3, 0, 3, 3, 0, 3], [3, 0, 0, 0, 3, 0, 3, 0, 0, 3, 3, 0, 3, 3, 3], [3, 3, 3, 0, 0, 0, 3, 0, 3, 0, 0, 3, 0, 0, 3], [0, 0, 3, 0, 3, 0, 0, 0, 3, 3, 0, 3, 3, 0, 0], [0, 0, 3, 3, 0, 3, 0, 0, 0, 0, 0, 3, 0, 3, 0], [0, 6, 6, 6, 0, 0, 6, 6, 0, 6, 6, 6, 0, 0, 6], [6, 6, 0, 6, 0, 6, 0, 6, 0, 0, 6, 0, 6, 6, 6], [6, 6, 6, 6, 0, 0, 6, 6, 0, 0, 0, 0, 6, 0, 6], [0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 6, 0, 0, 0, 0], [0, 6, 0, 0, 6, 6, 0, 0, 0, 6, 6, 6, 0, 0, 0], [0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 6, 6, 0, 0, 6], [0, 6, 0, 6, 0, 0, 0, 6, 0, 0, 6, 0, 6, 0, 6], [6, 0, 0, 6, 0, 6, 6, 0, 0, 0, 0, 0, 6, 0, 6], [6, 6, 0, 6, 6, 0, 6, 6, 0, 0, 0, 6, 6, 0, 0], [0, 0, 0, 0, 6, 0, 6, 0, 6, 0, 6, 6, 6, 6, 6], [0, 0, 6, 6, 0, 6, 0, 0, 6, 6, 0, 6, 6, 6, 6], [0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 6, 0], [0, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0, 6, 6, 0, 0], [0, 6, 6, 0, 6, 0, 6, 0, 6, 0, 0, 6, 0, 0, 6], [6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6], [9, 0, 0, 0, 0, 9, 0, 0, 9, 9, 0, 9, 9, 9, 0], [9, 0, 0, 0, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 0], [0, 0, 9, 9, 9, 0, 9, 0, 0, 0, 0, 9, 9, 9, 9], [9, 9, 0, 9, 9, 0, 9, 9, 9, 0, 0, 0, 0, 9, 9], [0, 0, 9, 0, 9, 0, 9, 0, 0, 9, 9, 9, 9, 0, 9], [0, 9, 0, 9, 9, 9, 9, 0, 0, 0, 9, 0, 9, 9, 0], [9, 0, 9, 0, 0, 9, 0, 9, 9, 0, 9, 9, 9, 9, 0], [9, 0, 0, 9, 0, 0, 0, 0, 0, 9, 9, 0, 0, 9, 9], [0, 0, 0, 9, 0, 0, 9, 0, 9, 0, 9, 9, 0, 9, 0], [9, 0, 0, 9, 0, 0, 9, 0, 0, 9, 9, 9, 0, 9, 9], [9, 9, 0, 9, 0, 9, 0, 0, 0, 0, 0, 9, 9, 0, 9], [9, 9, 0, 9, 9, 9, 9, 0, 0, 0, 9, 0, 9, 9, 9], [0, 0, 0, 0, 9, 0, 9, 9, 9, 9, 0, 0, 0, 0, 9], [0, 0, 9, 0, 9, 0, 0, 0, 0, 9, 0, 9, 0, 9, 0], [9, 0, 9, 0, 0, 0, 0, 9, 0, 0, 9, 0, 9, 9, 9]] -> [[2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2], [2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2], [0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2], [2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2], [0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2], [0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0], [2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0], [2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2], [2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0], [2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2], [2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0], [2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2], [0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2], [0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0], [2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2]]\nCounterfactual: Now imagine that we intervened on the original input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 0, 6, 0, 0, 6, 6, 6, 6, 0, 6, 6, 0], [0, 6, 0, 0, 0, 6, 6, 0, 0, 6, 0, 6, 0, 0, 0], [0, 0, 0, 6, 6, 6, 0, 6, 0, 0, 6, 0, 0, 0, 6], [6, 6, 6, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 0, 0], [0, 0, 6, 6, 0, 0, 6, 0, 0, 0, 6, 0, 0, 6, 6], [6, 0, 6, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6], [6, 0, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0, 6, 0, 0], [6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 6], [0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 6, 0, 0, 0, 6], [6, 6, 6, 6, 0, 0, 6, 6, 0, 6, 6, 0, 6, 6, 6], [0, 6, 6, 6, 6, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6], [6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 6, 6, 6], [0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 6, 0, 6, 6, 6], [6, 0, 6, 0, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 6], [0, 0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 6, 6, 6], [9, 9, 9, 9, 0, 9, 0, 9, 0, 0, 9, 9, 0, 0, 0], [0, 0, 0, 0, 9, 0, 9, 0, 0, 9, 0, 9, 0, 0, 0], [9, 0, 9, 9, 0, 9, 0, 0, 9, 9, 9, 9, 0, 0, 9], [9, 0, 9, 9, 9, 9, 0, 0, 9, 9, 0, 9, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 9, 0, 9, 0], [0, 9, 9, 9, 0, 0, 9, 0, 0, 0, 9, 0, 0, 9, 0], [9, 0, 9, 0, 0, 0, 0, 9, 9, 0, 9, 9, 0, 9, 9], [0, 9, 0, 9, 0, 0, 0, 9, 0, 0, 0, 9, 0, 9, 0], [0, 9, 0, 9, 0, 0, 0, 0, 0, 9, 9, 9, 9, 0, 0], [9, 9, 0, 9, 9, 9, 0, 9, 0, 0, 0, 0, 0, 9, 9], [9, 9, 0, 9, 9, 0, 0, 9, 9, 9, 0, 0, 0, 9, 9], [9, 0, 0, 0, 0, 9, 0, 0, 9, 9, 9, 0, 0, 0, 0], [9, 9, 9, 9, 9, 9, 0, 0, 9, 9, 9, 9, 9, 0, 0], [9, 9, 0, 0, 0, 0, 9, 0, 9, 9, 9, 0, 9, 0, 9], [0, 0, 0, 9, 9, 0, 9, 9, 0, 9, 0, 9, 9, 0, 0]] -> [[2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0], [0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0], [2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2], [2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0], [0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0], [2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2], [0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0], [0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0], [2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2], [2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2], [2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0], [2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0], [2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2], [0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0]]\n",
+            "Replicate 1": "You must solve the following causal discovery problem, where the cells in an input array are causal parents of cells in an output array. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. You must predict the causal function(s) that relate parent cells in the input to their children in the output. Be concise: do not explain your reasoning, and start your answer with 'The logical operators are'.\nExample input-output arrays:\n[[0, 0, 0, 3, 3, 3, 0, 0, 3, 3, 0, 0, 0, 3, 0], [0, 0, 3, 0, 3, 0, 3, 3, 0, 3, 0, 3, 3, 3, 3], [3, 3, 3, 3, 0, 0, 3, 0, 3, 0, 3, 0, 0, 3, 3], [3, 0, 0, 0, 3, 0, 3, 3, 3, 0, 3, 3, 3, 0, 0], [3, 3, 0, 0, 0, 3, 3, 3, 0, 3, 3, 0, 0, 0, 0], [0, 0, 0, 0, 3, 0, 0, 3, 3, 3, 0, 3, 3, 0, 3], [3, 3, 0, 3, 0, 3, 3, 0, 3, 0, 0, 3, 0, 0, 3], [0, 3, 0, 3, 0, 0, 0, 3, 3, 3, 3, 3, 0, 3, 3], [0, 3, 3, 3, 3, 0, 0, 3, 0, 3, 3, 0, 0, 0, 0], [0, 3, 3, 0, 3, 3, 0, 0, 3, 0, 3, 3, 3, 0, 0], [0, 3, 0, 3, 0, 3, 3, 0, 0, 0, 3, 0, 3, 3, 3], [0, 3, 3, 3, 3, 3, 0, 0, 3, 0, 3, 0, 0, 0, 0], [3, 0, 0, 3, 3, 0, 0, 0, 0, 3, 3, 3, 0, 3, 3], [0, 3, 3, 0, 0, 0, 0, 3, 3, 0, 3, 0, 3, 3, 0], [3, 0, 3, 0, 0, 0, 0, 3, 3, 0, 3, 0, 3, 3, 3], [0, 0, 0, 6, 6, 0, 6, 0, 0, 6, 0, 6, 0, 6, 0], [0, 0, 6, 6, 6, 0, 0, 6, 0, 0, 0, 0, 0, 6, 0], [6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 0, 0, 6, 6, 0], [0, 0, 6, 6, 6, 6, 0, 0, 6, 6, 6, 0, 0, 0, 0], [0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 0, 6, 6, 6, 0], [0, 6, 6, 0, 0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 6], [0, 0, 0, 6, 6, 6, 0, 6, 6, 0, 6, 0, 0, 0, 0], [0, 6, 0, 6, 0, 6, 6, 6, 0, 0, 6, 6, 6, 0, 6], [0, 6, 0, 6, 6, 6, 6, 0, 0, 0, 0, 6, 0, 0, 0], [0, 0, 0, 6, 6, 0, 6, 6, 0, 6, 0, 6, 6, 0, 6], [6, 0, 0, 6, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 0], [6, 6, 0, 6, 6, 0, 6, 6, 0, 6, 6, 6, 0, 0, 0], [0, 0, 0, 0, 6, 6, 6, 6, 0, 6, 6, 6, 0, 0, 6], [0, 0, 6, 6, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 6], [0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 6, 0, 6, 6, 6], [0, 0, 0, 9, 9, 0, 0, 9, 0, 9, 9, 9, 9, 0, 9], [0, 0, 9, 0, 0, 0, 9, 9, 0, 0, 9, 9, 0, 9, 9], [0, 9, 9, 0, 9, 0, 9, 9, 0, 0, 9, 9, 9, 0, 0], [9, 0, 0, 9, 0, 9, 9, 9, 0, 0, 0, 9, 9, 9, 0], [0, 0, 9, 9, 0, 0, 0, 9, 0, 0, 9, 9, 9, 9, 0], [0, 0, 9, 9, 0, 0, 0, 9, 0, 0, 9, 9, 0, 0, 0], [9, 9, 0, 0, 0, 9, 9, 9, 0, 9, 0, 9, 9, 0, 9], [0, 0, 0, 0, 0, 9, 9, 0, 9, 0, 9, 0, 0, 9, 0], [9, 0, 9, 9, 9, 9, 0, 9, 0, 0, 9, 0, 0, 9, 0], [0, 0, 0, 9, 9, 9, 0, 9, 0, 0, 0, 0, 9, 9, 9], [0, 0, 0, 9, 9, 9, 9, 9, 0, 0, 9, 0, 0, 9, 0], [0, 0, 0, 0, 9, 9, 0, 9, 9, 0, 0, 0, 9, 9, 0], [0, 9, 9, 0, 9, 0, 0, 9, 9, 9, 9, 0, 9, 0, 9], [0, 9, 9, 0, 0, 0, 0, 9, 0, 0, 0, 9, 0, 0, 0], [9, 9, 9, 9, 9, 0, 0, 9, 9, 0, 0, 0, 9, 9, 0]] -> [[0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2], [0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2], [2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0], [2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0], [0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0], [0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2], [2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2], [0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2], [2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0], [0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2], [0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0], [0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0], [0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0], [0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0], [2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2]]\nCounterfactual: Now imagine that we intervened on the original input by changing the causal function for some elements.\n[[3, 3, 0, 3, 0, 3, 3, 3, 0, 3, 3, 0, 3, 3, 0], [0, 0, 0, 0, 3, 3, 0, 0, 3, 3, 3, 0, 0, 3, 3], [0, 0, 3, 3, 0, 3, 0, 3, 3, 3, 3, 3, 0, 0, 0], [3, 0, 3, 3, 0, 3, 3, 3, 0, 3, 3, 3, 3, 0, 0], [0, 3, 3, 3, 3, 3, 3, 0, 3, 0, 0, 3, 3, 3, 3], [3, 0, 3, 3, 0, 0, 3, 0, 0, 3, 0, 0, 3, 3, 0], [0, 3, 3, 0, 0, 3, 3, 0, 3, 0, 0, 0, 0, 0, 0], [0, 3, 0, 3, 3, 3, 3, 3, 0, 3, 0, 0, 3, 3, 0], [0, 0, 0, 3, 0, 0, 3, 3, 3, 3, 0, 0, 3, 3, 0], [3, 0, 3, 0, 3, 0, 0, 3, 0, 3, 0, 3, 0, 3, 0], [0, 0, 0, 0, 0, 3, 3, 3, 3, 0, 0, 3, 3, 3, 0], [0, 0, 3, 0, 0, 3, 0, 3, 0, 3, 3, 0, 0, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0], [0, 3, 3, 3, 3, 3, 0, 3, 3, 0, 0, 0, 3, 3, 3], [3, 0, 3, 0, 0, 3, 0, 3, 0, 3, 3, 0, 0, 0, 0], [0, 0, 6, 0, 6, 6, 0, 0, 6, 6, 0, 6, 6, 6, 0], [6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 6, 6], [0, 6, 6, 0, 0, 6, 0, 0, 0, 6, 0, 6, 6, 6, 0], [0, 6, 6, 0, 0, 0, 6, 6, 0, 6, 6, 0, 6, 0, 0], [6, 0, 6, 6, 6, 0, 0, 6, 6, 6, 6, 0, 6, 6, 0], [0, 6, 6, 6, 6, 6, 6, 0, 0, 6, 6, 0, 0, 0, 0], [6, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 6, 6, 6, 6], [6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 6, 6, 6, 0, 0], [6, 0, 6, 6, 0, 6, 0, 0, 0, 0, 6, 0, 0, 0, 6], [6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 0, 0, 6], [6, 6, 0, 6, 6, 6, 0, 0, 0, 6, 6, 0, 0, 6, 0], [0, 6, 0, 6, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6, 0], [0, 0, 0, 0, 6, 6, 6, 6, 6, 0, 6, 0, 0, 6, 0], [0, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 0, 6, 6, 6], [0, 6, 6, 0, 0, 6, 6, 0, 0, 6, 0, 6, 6, 0, 6], [0, 9, 0, 0, 0, 9, 0, 0, 0, 0, 9, 9, 9, 9, 9], [9, 9, 9, 9, 0, 9, 0, 9, 0, 9, 9, 9, 9, 9, 0], [9, 0, 9, 9, 9, 9, 0, 9, 0, 0, 0, 0, 9, 0, 0], [0, 9, 9, 9, 9, 0, 0, 0, 0, 9, 0, 0, 9, 9, 9], [9, 0, 0, 9, 9, 9, 9, 9, 9, 9, 0, 0, 9, 9, 9], [0, 9, 9, 0, 0, 9, 0, 0, 9, 0, 9, 9, 0, 9, 0], [9, 9, 9, 9, 0, 0, 9, 0, 9, 0, 9, 9, 0, 9, 9], [9, 0, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 9, 9, 0], [0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 0, 9, 0, 9, 0], [9, 9, 0, 0, 9, 0, 9, 0, 0, 0, 0, 9, 0, 0, 9], [9, 9, 0, 0, 9, 9, 9, 0, 9, 9, 0, 9, 0, 0, 0], [9, 0, 9, 0, 9, 9, 9, 0, 9, 9, 9, 9, 0, 9, 0], [0, 0, 9, 9, 9, 0, 9, 0, 0, 0, 9, 9, 0, 9, 9], [9, 0, 0, 9, 0, 0, 9, 0, 0, 0, 9, 9, 9, 0, 0], [0, 0, 9, 9, 0, 9, 0, 0, 0, 0, 0, 0, 9, 9, 0]] -> [[0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2], [2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2], [2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0], [0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2], [2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2], [0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0], [2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2], [2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0], [0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0], [0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2], [2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0], [2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0], [0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2], [2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2], [0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0]]\nExample input-output arrays:\n[[0, 3, 0, 3, 0, 3, 0, 0, 3, 0, 3, 3, 3, 3, 0], [0, 0, 0, 0, 3, 0, 0, 3, 3, 3, 3, 3, 3, 0, 3], [0, 0, 0, 3, 3, 0, 3, 3, 0, 0, 0, 0, 0, 0, 3], [3, 0, 0, 3, 0, 0, 3, 0, 0, 0, 0, 3, 0, 3, 0], [0, 3, 0, 0, 3, 3, 0, 3, 3, 3, 3, 0, 0, 3, 0], [3, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0, 3, 0, 3, 0], [0, 0, 3, 3, 3, 0, 0, 3, 0, 0, 3, 3, 0, 0, 0], [0, 0, 0, 3, 3, 0, 0, 3, 0, 3, 3, 0, 0, 3, 0], [0, 0, 0, 0, 3, 0, 3, 0, 3, 3, 0, 3, 3, 3, 3], [0, 0, 3, 3, 3, 0, 3, 3, 0, 3, 3, 3, 0, 0, 0], [3, 0, 3, 3, 0, 3, 3, 3, 0, 3, 0, 0, 3, 3, 0], [3, 0, 0, 0, 0, 0, 3, 0, 0, 3, 3, 0, 3, 0, 0], [3, 0, 3, 3, 3, 0, 3, 0, 0, 0, 3, 3, 3, 0, 3], [0, 0, 3, 0, 0, 3, 3, 0, 0, 0, 3, 3, 0, 0, 3], [0, 0, 3, 3, 0, 0, 3, 3, 3, 0, 0, 0, 3, 3, 0], [6, 6, 6, 0, 6, 6, 0, 6, 0, 6, 6, 0, 6, 6, 0], [6, 0, 6, 6, 0, 6, 6, 0, 0, 6, 0, 0, 6, 0, 0], [6, 6, 0, 6, 0, 0, 6, 0, 6, 0, 6, 0, 0, 0, 6], [6, 6, 6, 0, 6, 6, 6, 6, 6, 0, 6, 0, 0, 6, 6], [6, 0, 0, 6, 6, 6, 6, 6, 0, 6, 0, 0, 0, 0, 0], [0, 6, 0, 6, 0, 0, 6, 6, 0, 6, 6, 0, 0, 0, 0], [0, 6, 0, 6, 0, 6, 0, 6, 6, 0, 6, 0, 6, 6, 0], [0, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 0, 0, 0, 0], [6, 6, 0, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 6, 0], [0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 0, 0, 6, 6, 6], [6, 6, 0, 6, 6, 6, 0, 6, 6, 6, 6, 0, 6, 0, 0], [0, 0, 6, 0, 6, 6, 6, 0, 6, 0, 0, 0, 0, 0, 6], [6, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0], [6, 6, 6, 6, 0, 0, 0, 6, 0, 6, 6, 6, 0, 6, 0], [0, 0, 6, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6, 0], [0, 9, 0, 0, 0, 0, 0, 9, 0, 9, 9, 9, 0, 9, 0], [0, 9, 0, 9, 0, 0, 0, 9, 9, 0, 9, 0, 0, 0, 9], [9, 9, 9, 0, 9, 0, 9, 9, 0, 0, 0, 9, 0, 0, 9], [0, 9, 9, 9, 9, 0, 0, 9, 0, 0, 0, 0, 0, 0, 9], [9, 9, 9, 9, 0, 9, 9, 0, 9, 0, 9, 0, 9, 9, 0], [0, 0, 9, 9, 9, 9, 0, 9, 9, 9, 9, 0, 9, 0, 0], [0, 0, 9, 9, 0, 0, 0, 9, 9, 9, 0, 0, 9, 9, 9], [0, 9, 0, 0, 9, 9, 9, 9, 9, 0, 0, 0, 9, 0, 0], [0, 9, 9, 0, 0, 9, 0, 9, 0, 0, 9, 0, 0, 9, 9], [9, 9, 9, 0, 9, 9, 0, 9, 0, 0, 9, 0, 9, 9, 9], [0, 9, 9, 9, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 9], [9, 0, 9, 9, 0, 0, 9, 0, 9, 0, 9, 0, 0, 0, 9], [0, 0, 9, 0, 9, 0, 0, 0, 9, 0, 9, 9, 9, 0, 0], [0, 0, 9, 0, 9, 0, 0, 9, 9, 9, 0, 9, 0, 9, 9], [0, 0, 0, 0, 0, 9, 0, 0, 9, 9, 9, 9, 9, 0, 9]] -> [[0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0], [0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2], [2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0], [2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2], [2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0], [0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0], [0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2], [0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0], [0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2], [2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2], [2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2], [2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2], [2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0], [0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2], [0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]\nCounterfactual: Now imagine that we intervened on the original input by fixing some values.\n[[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [0, 6, 6, 0, 6, 0, 0, 6, 6, 6, 6, 0, 6, 6, 0], [0, 6, 0, 0, 0, 6, 6, 0, 0, 6, 0, 6, 0, 0, 0], [0, 0, 0, 6, 6, 6, 0, 6, 0, 0, 6, 0, 0, 0, 6], [6, 6, 6, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 0, 0], [0, 0, 6, 6, 0, 0, 6, 0, 0, 0, 6, 0, 0, 6, 6], [6, 0, 6, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6], [6, 0, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0, 6, 0, 0], [6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 6], [0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 6, 0, 0, 0, 6], [6, 6, 6, 6, 0, 0, 6, 6, 0, 6, 6, 0, 6, 6, 6], [0, 6, 6, 6, 6, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6], [6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 6, 6, 6], [0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 6, 0, 6, 6, 6], [6, 0, 6, 0, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 6], [0, 0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 6, 6, 6], [9, 9, 9, 9, 0, 9, 0, 9, 0, 0, 9, 9, 0, 0, 0], [0, 0, 0, 0, 9, 0, 9, 0, 0, 9, 0, 9, 0, 0, 0], [9, 0, 9, 9, 0, 9, 0, 0, 9, 9, 9, 9, 0, 0, 9], [9, 0, 9, 9, 9, 9, 0, 0, 9, 9, 0, 9, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 9, 0, 9, 0], [0, 9, 9, 9, 0, 0, 9, 0, 0, 0, 9, 0, 0, 9, 0], [9, 0, 9, 0, 0, 0, 0, 9, 9, 0, 9, 9, 0, 9, 9], [0, 9, 0, 9, 0, 0, 0, 9, 0, 0, 0, 9, 0, 9, 0], [0, 9, 0, 9, 0, 0, 0, 0, 0, 9, 9, 9, 9, 0, 0], [9, 9, 0, 9, 9, 9, 0, 9, 0, 0, 0, 0, 0, 9, 9], [9, 9, 0, 9, 9, 0, 0, 9, 9, 9, 0, 0, 0, 9, 9], [9, 0, 0, 0, 0, 9, 0, 0, 9, 9, 9, 0, 0, 0, 0], [9, 9, 9, 9, 9, 9, 0, 0, 9, 9, 9, 9, 9, 0, 0], [9, 9, 0, 0, 0, 0, 9, 0, 9, 9, 9, 0, 9, 0, 9], [0, 0, 0, 9, 9, 0, 9, 9, 0, 9, 0, 9, 9, 0, 0]] -> [[2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0], [0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0], [0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0], [0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2], [2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2], [0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2], [2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2], [0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2], [0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0], [2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0], [0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2], [2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2], [0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0], [0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2]]\n",
+            "Replicate 2": "You must solve the following causal discovery problem, where the cells in an input array are causal parents of cells in an output array. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. You must predict the causal function(s) that relate parent cells in the input to their children in the output. Be concise: do not explain your reasoning, and start your answer with 'The logical operators are'.\nExample input-output arrays:\n[[3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 3, 0, 3], [3, 0, 3, 0, 3, 0, 0, 3, 0, 0, 0, 0, 0, 3, 0], [3, 0, 3, 3, 3, 0, 0, 0, 3, 0, 0, 3, 3, 0, 3], [3, 0, 0, 0, 3, 3, 3, 3, 0, 0, 0, 0, 3, 3, 0], [0, 3, 3, 3, 0, 3, 3, 3, 0, 3, 3, 0, 0, 0, 3], [0, 0, 0, 0, 3, 3, 0, 0, 3, 0, 0, 0, 0, 0, 3], [0, 0, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3, 0, 3, 0], [3, 0, 0, 3, 3, 3, 0, 3, 3, 0, 3, 0, 0, 3, 0], [3, 3, 0, 3, 0, 3, 3, 0, 3, 0, 3, 3, 3, 3, 0], [0, 3, 0, 0, 3, 3, 0, 3, 3, 0, 0, 3, 3, 3, 0], [3, 3, 0, 0, 0, 3, 0, 3, 3, 0, 0, 3, 3, 0, 0], [3, 0, 0, 3, 0, 3, 0, 3, 3, 0, 0, 3, 0, 3, 0], [3, 3, 3, 3, 3, 0, 0, 0, 0, 3, 3, 0, 3, 0, 0], [3, 3, 0, 0, 0, 0, 3, 3, 3, 3, 0, 0, 3, 0, 3], [3, 3, 3, 3, 3, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3], [0, 6, 0, 6, 6, 6, 0, 0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 6, 0, 0, 0, 6, 6, 0, 0, 6, 0, 0, 0, 0], [0, 0, 6, 6, 6, 6, 6, 0, 0, 0, 0, 6, 0, 6, 6], [0, 0, 6, 0, 0, 0, 6, 6, 6, 0, 0, 6, 6, 6, 6], [6, 6, 0, 0, 0, 6, 6, 0, 0, 0, 0, 6, 0, 6, 0], [6, 6, 0, 0, 6, 0, 0, 0, 6, 0, 6, 0, 6, 0, 6], [6, 6, 6, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6, 6, 6], [0, 0, 0, 6, 0, 0, 6, 0, 0, 0, 6, 6, 6, 0, 0], [0, 6, 6, 0, 0, 6, 0, 6, 6, 0, 0, 0, 0, 6, 0], [6, 6, 6, 6, 0, 0, 6, 6, 0, 6, 0, 6, 0, 0, 6], [0, 6, 0, 0, 6, 0, 6, 6, 0, 0, 6, 0, 6, 6, 0], [0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0], [6, 0, 0, 0, 0, 6, 6, 6, 0, 0, 6, 6, 0, 0, 0], [6, 6, 0, 6, 6, 0, 6, 6, 0, 6, 6, 0, 0, 0, 0], [0, 6, 6, 0, 0, 6, 0, 0, 6, 0, 6, 0, 6, 0, 6], [0, 0, 9, 9, 9, 9, 9, 9, 0, 0, 9, 9, 0, 9, 9], [0, 9, 9, 0, 0, 9, 0, 0, 0, 9, 0, 0, 9, 0, 9], [0, 9, 0, 0, 0, 9, 9, 0, 9, 0, 0, 0, 9, 9, 0], [0, 0, 0, 9, 9, 0, 9, 0, 0, 9, 9, 9, 9, 9, 9], [0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 9, 9, 0, 9, 0], [0, 0, 0, 9, 9, 9, 0, 0, 9, 9, 9, 9, 0, 9, 9], [0, 0, 9, 9, 0, 0, 9, 0, 9, 9, 0, 0, 0, 0, 9], [0, 0, 0, 0, 9, 0, 9, 9, 9, 0, 0, 0, 9, 0, 9], [9, 9, 0, 0, 0, 9, 9, 9, 0, 9, 9, 0, 0, 9, 0], [0, 0, 0, 9, 9, 0, 9, 9, 9, 0, 9, 0, 9, 0, 0], [9, 0, 9, 0, 9, 9, 9, 0, 9, 9, 0, 0, 0, 0, 0], [0, 9, 9, 0, 0, 9, 0, 0, 9, 9, 9, 0, 0, 0, 0], [9, 9, 0, 0, 0, 9, 9, 0, 9, 0, 0, 9, 9, 0, 9], [9, 0, 9, 0, 0, 9, 9, 9, 0, 0, 0, 0, 9, 0, 0], [0, 0, 9, 9, 9, 0, 0, 9, 0, 0, 9, 9, 0, 9, 9]] -> [[0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2], [0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2], [0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2], [0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2], [0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0], [0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0], [0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2], [0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2], [2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0], [0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0], [2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0], [0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0], [0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2], [0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0], [0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0]]\nCounterfactual: Now imagine that we intervened on the original input by changing some colors.\n[[3, 3, 0, 3, 0, 3, 3, 3, 0, 3, 3, 0, 3, 3, 0], [0, 0, 0, 0, 3, 3, 0, 0, 3, 3, 3, 0, 0, 3, 3], [0, 0, 3, 3, 0, 3, 0, 3, 3, 3, 3, 3, 0, 0, 0], [3, 0, 3, 3, 0, 3, 3, 3, 0, 3, 3, 3, 3, 0, 0], [0, 3, 3, 3, 3, 3, 3, 0, 3, 0, 0, 3, 3, 3, 3], [3, 0, 3, 3, 0, 0, 3, 0, 0, 3, 0, 0, 3, 3, 0], [0, 3, 3, 0, 0, 3, 3, 0, 3, 0, 0, 0, 0, 0, 0], [0, 3, 0, 3, 3, 3, 3, 3, 0, 3, 0, 0, 3, 3, 0], [0, 0, 0, 3, 0, 0, 3, 3, 3, 3, 0, 0, 3, 3, 0], [3, 0, 3, 0, 3, 0, 0, 3, 0, 3, 0, 3, 0, 3, 0], [0, 0, 0, 0, 0, 3, 3, 3, 3, 0, 0, 3, 3, 3, 0], [0, 0, 3, 0, 0, 3, 0, 3, 0, 3, 3, 0, 0, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0], [0, 3, 3, 3, 3, 3, 0, 3, 3, 0, 0, 0, 3, 3, 3], [3, 0, 3, 0, 0, 3, 0, 3, 0, 3, 3, 0, 0, 0, 0], [1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1], [0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0], [1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1], [1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1], [0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1], [1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1], [0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0], [0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1], [0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0], [0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0], [0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1], [1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1], [1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1], [1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0], [1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0], [0, 9, 0, 0, 0, 9, 0, 0, 0, 0, 9, 9, 9, 9, 9], [9, 9, 9, 9, 0, 9, 0, 9, 0, 9, 9, 9, 9, 9, 0], [9, 0, 9, 9, 9, 9, 0, 9, 0, 0, 0, 0, 9, 0, 0], [0, 9, 9, 9, 9, 0, 0, 0, 0, 9, 0, 0, 9, 9, 9], [9, 0, 0, 9, 9, 9, 9, 9, 9, 9, 0, 0, 9, 9, 9], [0, 9, 9, 0, 0, 9, 0, 0, 9, 0, 9, 9, 0, 9, 0], [9, 9, 9, 9, 0, 0, 9, 0, 9, 0, 9, 9, 0, 9, 9], [9, 0, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 9, 9, 0], [0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 0, 9, 0, 9, 0], [9, 9, 0, 0, 9, 0, 9, 0, 0, 0, 0, 9, 0, 0, 9], [9, 9, 0, 0, 9, 9, 9, 0, 9, 9, 0, 9, 0, 0, 0], [9, 0, 9, 0, 9, 9, 9, 0, 9, 9, 9, 9, 0, 9, 0], [0, 0, 9, 9, 9, 0, 9, 0, 0, 0, 9, 9, 0, 9, 9], [9, 0, 0, 9, 0, 0, 9, 0, 0, 0, 9, 9, 9, 0, 0], [0, 0, 9, 9, 0, 9, 0, 0, 0, 0, 0, 0, 9, 9, 0]] -> [[2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2], [2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0], [2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0], [2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2], [2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0], [2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0], [2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2], [2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0], [0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0], [2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2], [2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0], [2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0], [0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2], [2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0], [2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0]]\nExample input-output arrays:\n[[0, 3, 3, 3, 0, 0, 3, 0, 3, 0, 3, 3, 3, 3, 0], [0, 3, 3, 0, 0, 0, 0, 3, 3, 3, 0, 0, 0, 3, 0], [3, 0, 3, 0, 0, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3], [3, 3, 0, 0, 0, 0, 0, 3, 3, 3, 3, 0, 0, 0, 0], [0, 3, 0, 0, 0, 0, 3, 3, 0, 0, 0, 3, 0, 0, 3], [0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 0, 0, 3, 3], [3, 0, 3, 0, 0, 3, 0, 0, 0, 3, 3, 3, 3, 3, 0], [3, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 3], [3, 3, 0, 0, 3, 0, 3, 0, 0, 3, 3, 3, 0, 3, 3], [0, 3, 0, 3, 3, 0, 3, 0, 3, 0, 3, 0, 0, 0, 0], [0, 3, 3, 0, 0, 3, 3, 0, 0, 3, 0, 0, 3, 3, 0], [3, 0, 3, 3, 0, 3, 0, 0, 0, 0, 0, 0, 3, 3, 0], [3, 3, 0, 0, 3, 0, 0, 0, 3, 3, 0, 0, 3, 3, 0], [3, 3, 0, 0, 3, 3, 0, 0, 0, 0, 3, 0, 3, 0, 3], [3, 0, 0, 0, 0, 0, 3, 3, 3, 0, 0, 3, 0, 0, 0], [0, 6, 6, 0, 6, 0, 0, 0, 6, 6, 0, 6, 0, 0, 6], [6, 0, 0, 0, 0, 6, 6, 6, 0, 0, 6, 6, 6, 0, 0], [0, 6, 6, 6, 6, 6, 0, 6, 0, 6, 6, 0, 6, 6, 0], [0, 6, 0, 6, 0, 6, 6, 6, 0, 0, 0, 0, 6, 0, 0], [6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 0, 6, 0, 6], [6, 6, 6, 0, 0, 0, 6, 0, 6, 0, 0, 6, 6, 0, 6], [0, 6, 0, 0, 6, 0, 0, 6, 6, 0, 6, 6, 0, 0, 6], [0, 6, 0, 6, 6, 0, 0, 6, 0, 6, 6, 6, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 0, 0], [0, 6, 0, 0, 6, 0, 0, 0, 6, 6, 0, 0, 0, 6, 0], [0, 0, 6, 0, 6, 0, 0, 6, 0, 0, 6, 6, 6, 0, 0], [6, 0, 0, 6, 6, 0, 0, 6, 0, 0, 0, 6, 0, 6, 6], [0, 6, 0, 0, 0, 0, 6, 0, 0, 6, 6, 6, 0, 0, 6], [0, 6, 0, 6, 0, 0, 0, 6, 0, 0, 0, 6, 0, 6, 6], [0, 6, 0, 0, 6, 6, 6, 6, 6, 6, 0, 0, 6, 0, 0], [0, 9, 9, 9, 0, 9, 0, 0, 0, 0, 0, 0, 9, 0, 9], [9, 9, 9, 0, 0, 9, 9, 9, 0, 9, 9, 0, 0, 9, 0], [9, 0, 0, 9, 0, 0, 9, 9, 9, 0, 9, 9, 9, 0, 0], [0, 9, 0, 9, 9, 0, 9, 9, 0, 9, 0, 0, 9, 0, 0], [9, 9, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 0], [9, 9, 0, 9, 9, 0, 9, 0, 0, 9, 9, 0, 0, 0, 0], [0, 9, 9, 9, 0, 9, 9, 0, 0, 9, 9, 9, 0, 0, 0], [0, 0, 9, 9, 9, 0, 0, 0, 0, 9, 9, 9, 9, 9, 9], [9, 0, 9, 9, 9, 0, 9, 0, 0, 9, 0, 9, 0, 0, 0], [0, 9, 0, 9, 9, 9, 9, 9, 9, 9, 9, 0, 0, 9, 0], [9, 0, 0, 0, 0, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0], [9, 0, 0, 0, 9, 9, 9, 9, 0, 9, 0, 0, 9, 0, 9], [9, 0, 0, 9, 0, 0, 0, 9, 0, 0, 9, 9, 9, 9, 9], [9, 0, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0], [9, 9, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 9, 9]] -> [[0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2], [2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0], [2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0], [0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0], [2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2], [2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2], [0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2], [2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0], [0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0], [2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0], [0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2], [2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2], [2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2], [2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2]]\nCounterfactual: Now imagine that we intervened on the original input by changing some colors.\n[[3, 0, 3, 3, 0, 0, 3, 0, 0, 3, 3, 3, 0, 3, 0], [3, 3, 0, 3, 3, 0, 0, 3, 0, 3, 0, 0, 0, 0, 0], [3, 3, 0, 3, 0, 0, 3, 3, 3, 3, 0, 3, 0, 0, 0], [0, 3, 3, 3, 3, 0, 0, 3, 3, 3, 3, 3, 0, 3, 0], [3, 0, 3, 0, 3, 0, 0, 3, 3, 0, 3, 3, 0, 3, 3], [3, 0, 0, 3, 0, 3, 3, 3, 3, 3, 0, 0, 3, 0, 3], [0, 0, 3, 0, 0, 3, 0, 0, 0, 0, 3, 3, 0, 0, 3], [0, 3, 3, 0, 0, 3, 3, 0, 0, 0, 3, 3, 0, 3, 3], [0, 3, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3], [0, 0, 0, 0, 0, 0, 3, 0, 0, 3, 3, 0, 0, 3, 3], [0, 3, 0, 0, 0, 0, 3, 0, 0, 3, 3, 3, 3, 0, 3], [0, 3, 0, 3, 3, 0, 0, 3, 3, 0, 3, 3, 3, 0, 0], [0, 3, 3, 3, 3, 0, 3, 0, 0, 3, 3, 0, 3, 0, 0], [3, 0, 3, 0, 3, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 0, 3, 0, 3, 3, 0, 3, 0, 3, 0, 0, 0], [0, 5, 5, 0, 5, 0, 0, 5, 5, 5, 5, 0, 5, 5, 0], [0, 5, 0, 0, 0, 5, 5, 0, 0, 5, 0, 5, 0, 0, 0], [0, 0, 0, 5, 5, 5, 0, 5, 0, 0, 5, 0, 0, 0, 5], [5, 5, 5, 5, 0, 5, 5, 5, 5, 0, 0, 5, 0, 0, 0], [0, 0, 5, 5, 0, 0, 5, 0, 0, 0, 5, 0, 0, 5, 5], [5, 0, 5, 5, 5, 0, 5, 0, 5, 5, 0, 0, 5, 5, 5], [5, 0, 5, 0, 5, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0], [5, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0, 0, 5], [0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 5, 0, 0, 0, 5], [5, 5, 5, 5, 0, 0, 5, 5, 0, 5, 5, 0, 5, 5, 5], [0, 5, 5, 5, 5, 0, 5, 5, 5, 5, 0, 5, 5, 5, 5], [5, 5, 0, 5, 5, 5, 5, 5, 5, 5, 0, 0, 5, 5, 5], [0, 5, 5, 0, 5, 5, 0, 0, 5, 5, 5, 0, 5, 5, 5], [5, 0, 5, 0, 0, 5, 5, 5, 0, 5, 0, 5, 5, 5, 5], [0, 0, 5, 0, 5, 5, 5, 0, 5, 0, 5, 0, 5, 5, 5], [9, 9, 9, 9, 0, 9, 0, 9, 0, 0, 9, 9, 0, 0, 0], [0, 0, 0, 0, 9, 0, 9, 0, 0, 9, 0, 9, 0, 0, 0], [9, 0, 9, 9, 0, 9, 0, 0, 9, 9, 9, 9, 0, 0, 9], [9, 0, 9, 9, 9, 9, 0, 0, 9, 9, 0, 9, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 9, 0, 9, 0], [0, 9, 9, 9, 0, 0, 9, 0, 0, 0, 9, 0, 0, 9, 0], [9, 0, 9, 0, 0, 0, 0, 9, 9, 0, 9, 9, 0, 9, 9], [0, 9, 0, 9, 0, 0, 0, 9, 0, 0, 0, 9, 0, 9, 0], [0, 9, 0, 9, 0, 0, 0, 0, 0, 9, 9, 9, 9, 0, 0], [9, 9, 0, 9, 9, 9, 0, 9, 0, 0, 0, 0, 0, 9, 9], [9, 9, 0, 9, 9, 0, 0, 9, 9, 9, 0, 0, 0, 9, 9], [9, 0, 0, 0, 0, 9, 0, 0, 9, 9, 9, 0, 0, 0, 0], [9, 9, 9, 9, 9, 9, 0, 0, 9, 9, 9, 9, 9, 0, 0], [9, 9, 0, 0, 0, 0, 9, 0, 9, 9, 9, 0, 9, 0, 9], [0, 0, 0, 9, 9, 0, 9, 9, 0, 9, 0, 9, 9, 0, 0]] -> [[2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0], [0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2], [2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2], [2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2], [2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2], [0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2], [0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2], [2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0], [2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0], [2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0], [2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0], [0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0], [0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0]]\n",
+            "Replicate 3": "You must solve the following causal discovery problem, where the cells in an input array are causal parents of cells in an output array. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. You must predict the causal function(s) that relate parent cells in the input to their children in the output. Be concise: do not explain your reasoning, and start your answer with 'The logical operators are'.\nExample input-output arrays:\n[[3, 0, 3, 3, 3, 3, 3, 0, 3, 0, 0, 0, 3, 0, 3], [3, 0, 3, 3, 3, 0, 0, 3, 3, 0, 0, 3, 0, 0, 3], [3, 0, 3, 0, 0, 3, 0, 0, 3, 0, 3, 3, 3, 3, 0], [3, 3, 3, 0, 3, 0, 0, 0, 0, 3, 3, 3, 3, 3, 0], [3, 3, 0, 3, 3, 0, 0, 0, 0, 3, 0, 0, 0, 0, 3], [0, 0, 3, 3, 0, 0, 3, 0, 3, 0, 0, 3, 3, 0, 0], [3, 0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 3, 0, 3, 3], [0, 0, 3, 3, 3, 0, 3, 0, 0, 0, 0, 0, 3, 3, 0], [3, 3, 3, 0, 3, 3, 0, 3, 0, 3, 3, 0, 3, 0, 3], [0, 0, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 0, 0], [3, 0, 3, 0, 0, 0, 0, 0, 0, 3, 0, 3, 0, 0, 0], [0, 0, 3, 3, 3, 3, 0, 0, 3, 3, 0, 0, 0, 3, 0], [0, 0, 3, 0, 0, 0, 0, 3, 0, 0, 3, 3, 0, 0, 3], [0, 3, 0, 0, 0, 0, 0, 3, 3, 3, 0, 3, 0, 0, 3], [3, 0, 3, 3, 3, 3, 0, 3, 3, 0, 0, 0, 0, 3, 3], [6, 6, 6, 6, 6, 6, 0, 0, 6, 6, 0, 0, 6, 6, 6], [0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6, 6, 0], [0, 6, 6, 6, 6, 0, 6, 6, 0, 6, 0, 6, 0, 0, 0], [0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 6, 6], [0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 6, 6, 0], [0, 0, 0, 0, 6, 0, 6, 0, 6, 6, 6, 6, 0, 0, 6], [0, 6, 0, 0, 0, 6, 6, 0, 6, 0, 0, 6, 6, 6, 6], [6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 6, 6, 0, 6, 6], [0, 0, 0, 6, 6, 0, 6, 6, 0, 6, 0, 0, 0, 6, 0], [0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 6, 0, 6, 6, 6], [6, 0, 6, 0, 6, 0, 0, 6, 0, 0, 0, 0, 0, 0, 6], [0, 6, 6, 6, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 0], [0, 6, 6, 0, 0, 6, 0, 6, 0, 6, 6, 0, 0, 0, 6], [0, 6, 0, 6, 6, 6, 0, 6, 6, 6, 6, 6, 0, 6, 6], [0, 6, 6, 0, 0, 0, 6, 6, 6, 0, 6, 0, 6, 6, 0], [9, 0, 0, 0, 9, 0, 9, 0, 0, 0, 9, 9, 0, 9, 0], [9, 0, 9, 9, 9, 0, 0, 0, 0, 9, 9, 0, 0, 9, 9], [9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 9, 9, 9, 0], [9, 0, 0, 0, 0, 0, 9, 0, 9, 0, 9, 9, 0, 9, 9], [9, 9, 9, 0, 9, 0, 0, 9, 0, 0, 0, 0, 9, 0, 0], [9, 9, 9, 0, 9, 9, 0, 0, 9, 9, 9, 9, 0, 0, 9], [0, 0, 0, 9, 9, 9, 9, 9, 0, 0, 0, 0, 9, 9, 9], [9, 0, 9, 0, 0, 0, 0, 9, 9, 9, 0, 0, 9, 9, 0], [0, 0, 0, 9, 0, 0, 0, 0, 0, 9, 0, 0, 9, 9, 0], [0, 9, 0, 9, 9, 9, 9, 9, 0, 9, 9, 0, 0, 0, 9], [0, 0, 0, 9, 0, 0, 0, 0, 9, 9, 9, 9, 9, 9, 0], [9, 9, 0, 0, 9, 9, 0, 9, 0, 9, 9, 0, 9, 9, 9], [0, 9, 9, 0, 0, 9, 0, 9, 0, 0, 9, 9, 0, 0, 9], [0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 9, 9, 0, 9], [9, 9, 0, 0, 0, 0, 9, 9, 9, 0, 9, 0, 0, 9, 9]] -> [[0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2], [2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2], [2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0], [2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2], [2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0], [2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2], [0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0], [2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0], [0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0], [0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2], [2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0], [2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2], [0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0], [0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0], [2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2]]\nCounterfactual: Now imagine that we intervened on the original input by changing some colors.\n[[3, 3, 0, 3, 0, 3, 3, 3, 0, 3, 3, 0, 3, 3, 0], [0, 0, 0, 0, 3, 3, 0, 0, 3, 3, 3, 0, 0, 3, 3], [0, 0, 3, 3, 0, 3, 0, 3, 3, 3, 3, 3, 0, 0, 0], [3, 0, 3, 3, 0, 3, 3, 3, 0, 3, 3, 3, 3, 0, 0], [0, 3, 3, 3, 3, 3, 3, 0, 3, 0, 0, 3, 3, 3, 3], [3, 0, 3, 3, 0, 0, 3, 0, 0, 3, 0, 0, 3, 3, 0], [0, 3, 3, 0, 0, 3, 3, 0, 3, 0, 0, 0, 0, 0, 0], [0, 3, 0, 3, 3, 3, 3, 3, 0, 3, 0, 0, 3, 3, 0], [0, 0, 0, 3, 0, 0, 3, 3, 3, 3, 0, 0, 3, 3, 0], [3, 0, 3, 0, 3, 0, 0, 3, 0, 3, 0, 3, 0, 3, 0], [0, 0, 0, 0, 0, 3, 3, 3, 3, 0, 0, 3, 3, 3, 0], [0, 0, 3, 0, 0, 3, 0, 3, 0, 3, 3, 0, 0, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0], [0, 3, 3, 3, 3, 3, 0, 3, 3, 0, 0, 0, 3, 3, 3], [3, 0, 3, 0, 0, 3, 0, 3, 0, 3, 3, 0, 0, 0, 0], [1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1], [0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0], [1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1], [1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1], [0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1], [1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1], [0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0], [0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1], [0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0], [0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0], [0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1], [1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1], [1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1], [1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0], [1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0], [0, 9, 0, 0, 0, 9, 0, 0, 0, 0, 9, 9, 9, 9, 9], [9, 9, 9, 9, 0, 9, 0, 9, 0, 9, 9, 9, 9, 9, 0], [9, 0, 9, 9, 9, 9, 0, 9, 0, 0, 0, 0, 9, 0, 0], [0, 9, 9, 9, 9, 0, 0, 0, 0, 9, 0, 0, 9, 9, 9], [9, 0, 0, 9, 9, 9, 9, 9, 9, 9, 0, 0, 9, 9, 9], [0, 9, 9, 0, 0, 9, 0, 0, 9, 0, 9, 9, 0, 9, 0], [9, 9, 9, 9, 0, 0, 9, 0, 9, 0, 9, 9, 0, 9, 9], [9, 0, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 9, 9, 0], [0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 0, 9, 0, 9, 0], [9, 9, 0, 0, 9, 0, 9, 0, 0, 0, 0, 9, 0, 0, 9], [9, 9, 0, 0, 9, 9, 9, 0, 9, 9, 0, 9, 0, 0, 0], [9, 0, 9, 0, 9, 9, 9, 0, 9, 9, 9, 9, 0, 9, 0], [0, 0, 9, 9, 9, 0, 9, 0, 0, 0, 9, 9, 0, 9, 9], [9, 0, 0, 9, 0, 0, 9, 0, 0, 0, 9, 9, 9, 0, 0], [0, 0, 9, 9, 0, 9, 0, 0, 0, 0, 0, 0, 9, 9, 0]] -> [[2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2], [2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0], [2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0], [2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2], [2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0], [2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0], [2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2], [2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0], [0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0], [2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2], [2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0], [2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0], [0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2], [2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0], [2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0]]\nExample input-output arrays:\n[[0, 3, 0, 3, 3, 3, 0, 0, 3, 3, 3, 0, 3, 3, 0], [0, 3, 3, 3, 0, 0, 0, 3, 0, 3, 0, 0, 3, 0, 3], [0, 3, 0, 0, 3, 0, 0, 0, 3, 0, 3, 0, 3, 3, 0], [0, 3, 3, 0, 3, 3, 3, 0, 3, 3, 3, 0, 3, 0, 3], [0, 0, 0, 3, 0, 0, 0, 0, 3, 3, 3, 0, 3, 3, 0], [3, 0, 3, 3, 3, 0, 3, 3, 0, 3, 3, 3, 0, 3, 0], [3, 0, 0, 0, 3, 0, 0, 3, 3, 0, 3, 0, 0, 3, 0], [3, 3, 0, 3, 0, 0, 0, 3, 3, 3, 0, 3, 0, 3, 3], [3, 0, 3, 0, 3, 3, 0, 3, 3, 0, 3, 3, 3, 3, 0], [0, 0, 0, 0, 0, 0, 3, 3, 3, 0, 0, 3, 0, 3, 3], [3, 0, 0, 3, 3, 0, 0, 0, 0, 3, 3, 3, 0, 0, 0], [3, 3, 0, 3, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0], [0, 3, 3, 3, 0, 0, 3, 3, 0, 3, 3, 3, 3, 0, 0], [3, 0, 3, 0, 3, 3, 3, 0, 0, 3, 3, 0, 0, 3, 3], [0, 3, 3, 3, 3, 0, 3, 0, 0, 0, 0, 3, 3, 3, 0], [6, 6, 0, 0, 6, 0, 0, 6, 6, 6, 0, 6, 0, 6, 0], [6, 0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 0, 6, 0], [0, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 0], [6, 6, 6, 0, 6, 0, 6, 0, 6, 6, 0, 0, 6, 0, 6], [0, 0, 0, 0, 6, 6, 6, 0, 6, 6, 6, 6, 0, 6, 6], [0, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6, 0, 0, 0, 6], [0, 0, 6, 0, 0, 6, 6, 0, 0, 6, 0, 0, 0, 6, 0], [6, 0, 0, 6, 6, 0, 6, 6, 0, 6, 0, 6, 6, 0, 0], [6, 6, 0, 0, 0, 0, 6, 0, 0, 6, 0, 6, 6, 0, 0], [0, 0, 6, 6, 6, 6, 6, 0, 6, 0, 6, 0, 6, 0, 6], [6, 6, 6, 6, 6, 6, 6, 0, 6, 0, 6, 0, 6, 6, 6], [0, 0, 0, 0, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0], [6, 0, 6, 6, 6, 0, 6, 6, 6, 0, 0, 6, 0, 0, 0], [6, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 6, 0, 6, 6], [6, 0, 6, 0, 6, 0, 0, 6, 0, 0, 0, 0, 6, 6, 6], [9, 9, 0, 0, 9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 0], [9, 0, 9, 0, 0, 0, 0, 0, 9, 9, 0, 9, 0, 9, 0], [9, 0, 9, 0, 0, 0, 9, 9, 9, 9, 9, 0, 0, 9, 9], [9, 0, 0, 0, 9, 0, 0, 0, 0, 0, 9, 0, 9, 9, 9], [0, 0, 9, 0, 0, 0, 9, 9, 0, 9, 0, 0, 9, 0, 0], [9, 9, 9, 9, 0, 9, 0, 9, 0, 9, 9, 0, 0, 0, 0], [0, 0, 9, 0, 9, 9, 0, 0, 9, 0, 0, 9, 9, 9, 0], [0, 0, 0, 0, 0, 0, 9, 9, 9, 0, 0, 9, 0, 9, 0], [9, 0, 9, 9, 9, 9, 9, 9, 9, 0, 9, 9, 0, 9, 0], [9, 0, 0, 0, 0, 0, 0, 9, 0, 0, 9, 9, 9, 9, 9], [9, 9, 0, 9, 9, 0, 0, 9, 9, 0, 0, 9, 0, 9, 0], [0, 9, 0, 0, 9, 0, 9, 9, 9, 9, 0, 0, 9, 0, 9], [9, 9, 9, 0, 0, 0, 9, 0, 0, 9, 9, 0, 9, 0, 0], [9, 9, 9, 0, 0, 9, 0, 9, 9, 9, 9, 9, 9, 9, 9], [0, 0, 9, 9, 0, 9, 9, 9, 0, 0, 9, 0, 9, 9, 9]] -> [[2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0], [2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0], [2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2], [2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0], [0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0], [2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0], [2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0], [0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0], [2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0], [0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0], [0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2], [2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0], [0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0], [0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2]]\nCounterfactual: Now imagine that we intervened on the original input by changing the causal function for some elements.\n[[3, 0, 3, 3, 0, 0, 3, 0, 0, 3, 3, 3, 0, 3, 0], [3, 3, 0, 3, 3, 0, 0, 3, 0, 3, 0, 0, 0, 0, 0], [3, 3, 0, 3, 0, 0, 3, 3, 3, 3, 0, 3, 0, 0, 0], [0, 3, 3, 3, 3, 0, 0, 3, 3, 3, 3, 3, 0, 3, 0], [3, 0, 3, 0, 3, 0, 0, 3, 3, 0, 3, 3, 0, 3, 3], [3, 0, 0, 3, 0, 3, 3, 3, 3, 3, 0, 0, 3, 0, 3], [0, 0, 3, 0, 0, 3, 0, 0, 0, 0, 3, 3, 0, 0, 3], [0, 3, 3, 0, 0, 3, 3, 0, 0, 0, 3, 3, 0, 3, 3], [0, 3, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3], [0, 0, 0, 0, 0, 0, 3, 0, 0, 3, 3, 0, 0, 3, 3], [0, 3, 0, 0, 0, 0, 3, 0, 0, 3, 3, 3, 3, 0, 3], [0, 3, 0, 3, 3, 0, 0, 3, 3, 0, 3, 3, 3, 0, 0], [0, 3, 3, 3, 3, 0, 3, 0, 0, 3, 3, 0, 3, 0, 0], [3, 0, 3, 0, 3, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 0, 3, 0, 3, 3, 0, 3, 0, 3, 0, 0, 0], [6, 0, 0, 6, 0, 6, 6, 0, 0, 0, 0, 6, 0, 0, 6], [6, 0, 6, 6, 6, 0, 0, 6, 6, 0, 6, 0, 6, 6, 6], [6, 6, 6, 0, 0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0], [0, 0, 0, 0, 6, 0, 0, 0, 0, 6, 6, 0, 6, 6, 6], [6, 6, 0, 0, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0], [0, 6, 0, 0, 0, 6, 0, 6, 0, 0, 6, 6, 0, 0, 0], [0, 6, 0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 0, 6, 6], [0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0], [6, 6, 6, 6, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6, 0], [0, 0, 0, 0, 6, 6, 0, 0, 6, 0, 0, 6, 0, 0, 0], [6, 0, 0, 0, 0, 6, 0, 0, 0, 0, 6, 0, 0, 0, 0], [0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0], [6, 0, 0, 6, 0, 0, 6, 6, 0, 0, 0, 6, 0, 0, 0], [0, 6, 0, 6, 6, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0], [6, 6, 0, 6, 0, 0, 0, 6, 0, 6, 0, 6, 0, 0, 0], [9, 9, 9, 9, 0, 9, 0, 9, 0, 0, 9, 9, 0, 0, 0], [0, 0, 0, 0, 9, 0, 9, 0, 0, 9, 0, 9, 0, 0, 0], [9, 0, 9, 9, 0, 9, 0, 0, 9, 9, 9, 9, 0, 0, 9], [9, 0, 9, 9, 9, 9, 0, 0, 9, 9, 0, 9, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 9, 0, 9, 0], [0, 9, 9, 9, 0, 0, 9, 0, 0, 0, 9, 0, 0, 9, 0], [9, 0, 9, 0, 0, 0, 0, 9, 9, 0, 9, 9, 0, 9, 9], [0, 9, 0, 9, 0, 0, 0, 9, 0, 0, 0, 9, 0, 9, 0], [0, 9, 0, 9, 0, 0, 0, 0, 0, 9, 9, 9, 9, 0, 0], [9, 9, 0, 9, 9, 9, 0, 9, 0, 0, 0, 0, 0, 9, 9], [9, 9, 0, 9, 9, 0, 0, 9, 9, 9, 0, 0, 0, 9, 9], [9, 0, 0, 0, 0, 9, 0, 0, 9, 9, 9, 0, 0, 0, 0], [9, 9, 9, 9, 9, 9, 0, 0, 9, 9, 9, 9, 9, 0, 0], [9, 9, 0, 0, 0, 0, 9, 0, 9, 9, 9, 0, 9, 0, 9], [0, 0, 0, 9, 9, 0, 9, 9, 0, 9, 0, 9, 9, 0, 0]] -> [[0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0], [2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0], [0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2], [2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0], [2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0], [0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0], [2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0], [0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0], [2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2], [2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2], [2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0], [2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0], [2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2], [2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0]]\n",
+            "Replicate 4": "You must solve the following causal discovery problem, where the cells in an input array are causal parents of cells in an output array. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. You must predict the causal function(s) that relate parent cells in the input to their children in the output. Be concise: do not explain your reasoning, and start your answer with 'The logical operators are'.\nExample input-output arrays:\n[[0, 3, 0, 3, 0, 3, 0, 0, 3, 0, 3, 3, 3, 3, 0], [0, 0, 0, 0, 3, 0, 0, 3, 3, 3, 3, 3, 3, 0, 3], [0, 0, 0, 3, 3, 0, 3, 3, 0, 0, 0, 0, 0, 0, 3], [3, 0, 0, 3, 0, 0, 3, 0, 0, 0, 0, 3, 0, 3, 0], [0, 3, 0, 0, 3, 3, 0, 3, 3, 3, 3, 0, 0, 3, 0], [3, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0, 3, 0, 3, 0], [0, 0, 3, 3, 3, 0, 0, 3, 0, 0, 3, 3, 0, 0, 0], [0, 0, 0, 3, 3, 0, 0, 3, 0, 3, 3, 0, 0, 3, 0], [0, 0, 0, 0, 3, 0, 3, 0, 3, 3, 0, 3, 3, 3, 3], [0, 0, 3, 3, 3, 0, 3, 3, 0, 3, 3, 3, 0, 0, 0], [3, 0, 3, 3, 0, 3, 3, 3, 0, 3, 0, 0, 3, 3, 0], [3, 0, 0, 0, 0, 0, 3, 0, 0, 3, 3, 0, 3, 0, 0], [3, 0, 3, 3, 3, 0, 3, 0, 0, 0, 3, 3, 3, 0, 3], [0, 0, 3, 0, 0, 3, 3, 0, 0, 0, 3, 3, 0, 0, 3], [0, 0, 3, 3, 0, 0, 3, 3, 3, 0, 0, 0, 3, 3, 0], [6, 6, 6, 0, 6, 6, 0, 6, 0, 6, 6, 0, 6, 6, 0], [6, 0, 6, 6, 0, 6, 6, 0, 0, 6, 0, 0, 6, 0, 0], [6, 6, 0, 6, 0, 0, 6, 0, 6, 0, 6, 0, 0, 0, 6], [6, 6, 6, 0, 6, 6, 6, 6, 6, 0, 6, 0, 0, 6, 6], [6, 0, 0, 6, 6, 6, 6, 6, 0, 6, 0, 0, 0, 0, 0], [0, 6, 0, 6, 0, 0, 6, 6, 0, 6, 6, 0, 0, 0, 0], [0, 6, 0, 6, 0, 6, 0, 6, 6, 0, 6, 0, 6, 6, 0], [0, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 0, 0, 0, 0], [6, 6, 0, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 6, 0], [0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 0, 0, 6, 6, 6], [6, 6, 0, 6, 6, 6, 0, 6, 6, 6, 6, 0, 6, 0, 0], [0, 0, 6, 0, 6, 6, 6, 0, 6, 0, 0, 0, 0, 0, 6], [6, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0], [6, 6, 6, 6, 0, 0, 0, 6, 0, 6, 6, 6, 0, 6, 0], [0, 0, 6, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6, 0], [0, 9, 0, 0, 0, 0, 0, 9, 0, 9, 9, 9, 0, 9, 0], [0, 9, 0, 9, 0, 0, 0, 9, 9, 0, 9, 0, 0, 0, 9], [9, 9, 9, 0, 9, 0, 9, 9, 0, 0, 0, 9, 0, 0, 9], [0, 9, 9, 9, 9, 0, 0, 9, 0, 0, 0, 0, 0, 0, 9], [9, 9, 9, 9, 0, 9, 9, 0, 9, 0, 9, 0, 9, 9, 0], [0, 0, 9, 9, 9, 9, 0, 9, 9, 9, 9, 0, 9, 0, 0], [0, 0, 9, 9, 0, 0, 0, 9, 9, 9, 0, 0, 9, 9, 9], [0, 9, 0, 0, 9, 9, 9, 9, 9, 0, 0, 0, 9, 0, 0], [0, 9, 9, 0, 0, 9, 0, 9, 0, 0, 9, 0, 0, 9, 9], [9, 9, 9, 0, 9, 9, 0, 9, 0, 0, 9, 0, 9, 9, 9], [0, 9, 9, 9, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 9], [9, 0, 9, 9, 0, 0, 9, 0, 9, 0, 9, 0, 0, 0, 9], [0, 0, 9, 0, 9, 0, 0, 0, 9, 0, 9, 9, 9, 0, 0], [0, 0, 9, 0, 9, 0, 0, 9, 9, 9, 0, 9, 0, 9, 9], [0, 0, 0, 0, 0, 9, 0, 0, 9, 9, 9, 9, 9, 0, 9]] -> [[0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0], [0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2], [2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0], [2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2], [2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0], [0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0], [0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2], [0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0], [0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2], [2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2], [2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2], [2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2], [2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0], [0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2], [0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]\nCounterfactual: Now imagine that we intervened on the original input by fixing some values.\n[[3, 3, 0, 3, 0, 3, 3, 3, 0, 3, 3, 0, 3, 3, 0], [0, 0, 0, 0, 3, 3, 0, 0, 3, 3, 3, 0, 0, 3, 3], [0, 0, 3, 3, 0, 3, 0, 3, 3, 3, 3, 3, 0, 0, 0], [3, 0, 3, 3, 0, 3, 3, 3, 0, 3, 3, 3, 3, 0, 0], [0, 3, 3, 3, 3, 3, 3, 0, 3, 0, 0, 3, 3, 3, 3], [3, 0, 3, 3, 0, 0, 3, 0, 0, 3, 0, 0, 3, 3, 0], [0, 3, 3, 0, 0, 3, 3, 0, 3, 0, 0, 0, 0, 0, 0], [0, 3, 0, 3, 3, 3, 3, 3, 0, 3, 0, 0, 3, 3, 0], [0, 0, 0, 3, 0, 0, 3, 3, 3, 3, 0, 0, 3, 3, 0], [3, 0, 3, 0, 3, 0, 0, 3, 0, 3, 0, 3, 0, 3, 0], [0, 0, 0, 0, 0, 3, 3, 3, 3, 0, 0, 3, 3, 3, 0], [0, 0, 3, 0, 0, 3, 0, 3, 0, 3, 3, 0, 0, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0], [0, 3, 3, 3, 3, 3, 0, 3, 3, 0, 0, 0, 3, 3, 3], [3, 0, 3, 0, 0, 3, 0, 3, 0, 3, 3, 0, 0, 0, 0], [6, 6, 0, 6, 0, 0, 6, 6, 0, 0, 6, 0, 0, 0, 6], [0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 6, 6, 0, 0, 0], [6, 0, 0, 6, 6, 0, 6, 6, 6, 0, 6, 0, 0, 0, 6], [6, 0, 0, 6, 6, 6, 0, 0, 6, 0, 0, 6, 0, 6, 6], [0, 6, 0, 0, 0, 6, 6, 0, 0, 0, 0, 6, 0, 0, 6], [6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 6, 6, 6], [0, 6, 6, 6, 6, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0], [0, 6, 0, 0, 0, 6, 0, 0, 6, 6, 0, 0, 0, 6, 6], [0, 6, 0, 0, 6, 0, 6, 6, 6, 6, 0, 6, 6, 6, 0], [0, 0, 6, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 0], [0, 0, 6, 0, 0, 0, 6, 6, 6, 0, 0, 6, 6, 0, 6], [6, 0, 6, 0, 6, 0, 0, 0, 6, 0, 0, 0, 6, 0, 6], [6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 6, 6, 0, 6], [6, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0], [6, 0, 0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 0, 6, 0], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]] -> [[0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2], [2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2], [2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2], [0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2], [2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0], [0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2], [2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2], [2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2], [2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2], [2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2], [2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2], [2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2], [2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2], [0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2]]\nExample input-output arrays:\n[[0, 3, 3, 0, 3, 3, 0, 3, 0, 3, 0, 3, 3, 0, 3], [0, 0, 3, 3, 0, 3, 3, 0, 3, 0, 3, 0, 0, 3, 3], [0, 3, 0, 0, 3, 3, 0, 3, 0, 0, 0, 0, 0, 3, 0], [0, 3, 0, 3, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3, 0, 3, 0, 3, 0, 0, 0, 0, 3, 3, 0, 3, 3], [3, 0, 3, 3, 3, 3, 3, 3, 0, 3, 0, 0, 3, 0, 0], [3, 3, 3, 0, 0, 0, 0, 3, 3, 0, 3, 3, 0, 3, 0], [0, 3, 3, 3, 0, 3, 3, 0, 0, 3, 0, 0, 3, 3, 0], [3, 3, 3, 3, 0, 0, 0, 3, 0, 3, 3, 3, 0, 3, 0], [3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 0, 3, 0, 0, 0], [3, 0, 0, 0, 0, 0, 3, 0, 3, 3, 0, 3, 3, 0, 3], [3, 0, 0, 0, 3, 0, 3, 0, 0, 3, 3, 0, 3, 3, 3], [3, 3, 3, 0, 0, 0, 3, 0, 3, 0, 0, 3, 0, 0, 3], [0, 0, 3, 0, 3, 0, 0, 0, 3, 3, 0, 3, 3, 0, 0], [0, 0, 3, 3, 0, 3, 0, 0, 0, 0, 0, 3, 0, 3, 0], [0, 6, 6, 6, 0, 0, 6, 6, 0, 6, 6, 6, 0, 0, 6], [6, 6, 0, 6, 0, 6, 0, 6, 0, 0, 6, 0, 6, 6, 6], [6, 6, 6, 6, 0, 0, 6, 6, 0, 0, 0, 0, 6, 0, 6], [0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 6, 0, 0, 0, 0], [0, 6, 0, 0, 6, 6, 0, 0, 0, 6, 6, 6, 0, 0, 0], [0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 6, 6, 0, 0, 6], [0, 6, 0, 6, 0, 0, 0, 6, 0, 0, 6, 0, 6, 0, 6], [6, 0, 0, 6, 0, 6, 6, 0, 0, 0, 0, 0, 6, 0, 6], [6, 6, 0, 6, 6, 0, 6, 6, 0, 0, 0, 6, 6, 0, 0], [0, 0, 0, 0, 6, 0, 6, 0, 6, 0, 6, 6, 6, 6, 6], [0, 0, 6, 6, 0, 6, 0, 0, 6, 6, 0, 6, 6, 6, 6], [0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 6, 0], [0, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0, 6, 6, 0, 0], [0, 6, 6, 0, 6, 0, 6, 0, 6, 0, 0, 6, 0, 0, 6], [6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6], [9, 0, 0, 0, 0, 9, 0, 0, 9, 9, 0, 9, 9, 9, 0], [9, 0, 0, 0, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 0], [0, 0, 9, 9, 9, 0, 9, 0, 0, 0, 0, 9, 9, 9, 9], [9, 9, 0, 9, 9, 0, 9, 9, 9, 0, 0, 0, 0, 9, 9], [0, 0, 9, 0, 9, 0, 9, 0, 0, 9, 9, 9, 9, 0, 9], [0, 9, 0, 9, 9, 9, 9, 0, 0, 0, 9, 0, 9, 9, 0], [9, 0, 9, 0, 0, 9, 0, 9, 9, 0, 9, 9, 9, 9, 0], [9, 0, 0, 9, 0, 0, 0, 0, 0, 9, 9, 0, 0, 9, 9], [0, 0, 0, 9, 0, 0, 9, 0, 9, 0, 9, 9, 0, 9, 0], [9, 0, 0, 9, 0, 0, 9, 0, 0, 9, 9, 9, 0, 9, 9], [9, 9, 0, 9, 0, 9, 0, 0, 0, 0, 0, 9, 9, 0, 9], [9, 9, 0, 9, 9, 9, 9, 0, 0, 0, 9, 0, 9, 9, 9], [0, 0, 0, 0, 9, 0, 9, 9, 9, 9, 0, 0, 0, 0, 9], [0, 0, 9, 0, 9, 0, 0, 0, 0, 9, 0, 9, 0, 9, 0], [9, 0, 9, 0, 0, 0, 0, 9, 0, 0, 9, 0, 9, 9, 9]] -> [[2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2], [2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2], [0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2], [2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2], [0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2], [0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0], [2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0], [2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2], [2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0], [2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2], [2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0], [2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2], [0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2], [0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0], [2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2]]\nCounterfactual: Now imagine that we intervened on the original input by fixing some values.\n[[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [0, 6, 6, 0, 6, 0, 0, 6, 6, 6, 6, 0, 6, 6, 0], [0, 6, 0, 0, 0, 6, 6, 0, 0, 6, 0, 6, 0, 0, 0], [0, 0, 0, 6, 6, 6, 0, 6, 0, 0, 6, 0, 0, 0, 6], [6, 6, 6, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 0, 0], [0, 0, 6, 6, 0, 0, 6, 0, 0, 0, 6, 0, 0, 6, 6], [6, 0, 6, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6], [6, 0, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0, 6, 0, 0], [6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 6], [0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 6, 0, 0, 0, 6], [6, 6, 6, 6, 0, 0, 6, 6, 0, 6, 6, 0, 6, 6, 6], [0, 6, 6, 6, 6, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6], [6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 6, 6, 6], [0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 6, 0, 6, 6, 6], [6, 0, 6, 0, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 6], [0, 0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 6, 6, 6], [9, 9, 9, 9, 0, 9, 0, 9, 0, 0, 9, 9, 0, 0, 0], [0, 0, 0, 0, 9, 0, 9, 0, 0, 9, 0, 9, 0, 0, 0], [9, 0, 9, 9, 0, 9, 0, 0, 9, 9, 9, 9, 0, 0, 9], [9, 0, 9, 9, 9, 9, 0, 0, 9, 9, 0, 9, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 9, 0, 9, 0], [0, 9, 9, 9, 0, 0, 9, 0, 0, 0, 9, 0, 0, 9, 0], [9, 0, 9, 0, 0, 0, 0, 9, 9, 0, 9, 9, 0, 9, 9], [0, 9, 0, 9, 0, 0, 0, 9, 0, 0, 0, 9, 0, 9, 0], [0, 9, 0, 9, 0, 0, 0, 0, 0, 9, 9, 9, 9, 0, 0], [9, 9, 0, 9, 9, 9, 0, 9, 0, 0, 0, 0, 0, 9, 9], [9, 9, 0, 9, 9, 0, 0, 9, 9, 9, 0, 0, 0, 9, 9], [9, 0, 0, 0, 0, 9, 0, 0, 9, 9, 9, 0, 0, 0, 0], [9, 9, 9, 9, 9, 9, 0, 0, 9, 9, 9, 9, 9, 0, 0], [9, 9, 0, 0, 0, 0, 9, 0, 9, 9, 9, 0, 9, 0, 9], [0, 0, 0, 9, 9, 0, 9, 9, 0, 9, 0, 9, 9, 0, 0]] -> [[2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0], [0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0], [0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0], [0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2], [2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2], [0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2], [2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2], [0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2], [0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0], [2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0], [0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2], [2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2], [0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0], [0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2]]\n"
+        }
+    },
+    "SCMtcbq!and!xor!20x20": {
+        "L1": {
+            "Replicate 0": "You must solve the following causal discovery problem, where the cells in an input array are causal parents of cells in an output array. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. You must predict the causal function(s) that relate parent cells in the input to their children in the output. Be concise: do not explain your reasoning, and start your answer with 'The logical operators are'.\nExample input-output arrays:\n[[7, 0, 7, 7, 0, 7, 0, 7, 7, 0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 7], [0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 7, 0, 0, 7, 7, 0, 7, 7, 0, 0], [0, 0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 7, 0, 7, 0, 0, 7, 7, 7], [7, 7, 0, 0, 7, 7, 7, 0, 0, 0, 0, 7, 7, 7, 0, 0, 7, 0, 0, 7], [0, 7, 0, 7, 7, 0, 0, 0, 7, 0, 7, 7, 7, 7, 7, 0, 0, 0, 7, 0], [0, 7, 0, 7, 7, 0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0], [0, 7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 7, 0, 7, 0, 0, 7, 0, 0, 7], [7, 7, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0, 7, 7, 0, 7, 7, 0, 0, 0], [0, 7, 7, 7, 7, 7, 0, 0, 7, 7, 7, 7, 7, 0, 7, 0, 0, 0, 0, 7], [0, 7, 7, 0, 7, 0, 0, 0, 7, 7, 7, 7, 0, 0, 7, 0, 0, 0, 0, 7], [0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0], [7, 0, 7, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 7, 7, 7, 0, 0, 7, 0], [7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0], [0, 7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 7, 7, 7, 0, 7, 0, 7], [7, 7, 0, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 7, 0], [7, 7, 7, 0, 0, 0, 0, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0, 7, 0, 7], [7, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 7, 7, 0, 7], [7, 0, 0, 7, 0, 7, 0, 7, 7, 7, 7, 0, 7, 0, 7, 0, 0, 7, 0, 0], [7, 7, 7, 0, 7, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 0, 7, 7, 0, 7], [0, 7, 7, 7, 0, 7, 0, 0, 7, 0, 0, 0, 7, 7, 7, 0, 7, 7, 0, 7], [8, 0, 8, 8, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 8, 0, 0, 8, 0], [8, 0, 0, 0, 0, 8, 8, 8, 0, 8, 0, 0, 0, 8, 8, 8, 8, 8, 8, 8], [8, 0, 8, 0, 8, 0, 8, 8, 8, 0, 8, 8, 0, 0, 0, 8, 8, 0, 0, 8], [8, 8, 0, 0, 8, 0, 8, 8, 0, 0, 8, 8, 0, 8, 0, 8, 8, 0, 0, 0], [8, 0, 0, 8, 0, 8, 8, 8, 0, 0, 0, 8, 0, 0, 8, 0, 0, 8, 0, 0], [0, 0, 8, 8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8], [8, 8, 0, 8, 8, 0, 0, 0, 8, 0, 0, 8, 0, 8, 0, 0, 0, 0, 8, 0], [8, 0, 8, 8, 0, 8, 8, 0, 0, 8, 0, 8, 0, 0, 0, 0, 8, 8, 8, 0], [0, 0, 0, 8, 0, 0, 8, 8, 8, 8, 8, 8, 0, 0, 8, 8, 8, 8, 8, 8], [0, 8, 8, 0, 8, 8, 0, 0, 8, 0, 8, 0, 8, 0, 8, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 8, 0, 8, 8, 0, 0, 8, 0, 8, 8, 8, 8, 8, 0, 8], [0, 8, 8, 8, 0, 0, 8, 8, 8, 8, 8, 0, 8, 0, 0, 8, 0, 8, 8, 8], [8, 0, 0, 0, 8, 8, 0, 8, 0, 8, 8, 8, 0, 0, 8, 0, 8, 8, 8, 8], [8, 0, 8, 8, 8, 0, 8, 0, 8, 0, 0, 0, 8, 0, 0, 0, 0, 8, 8, 8], [0, 8, 0, 8, 0, 8, 0, 8, 8, 0, 8, 8, 8, 8, 0, 0, 0, 0, 0, 8], [0, 8, 0, 0, 8, 8, 8, 8, 0, 0, 8, 8, 0, 0, 0, 0, 8, 8, 0, 8], [8, 8, 0, 8, 8, 8, 8, 0, 0, 8, 0, 0, 0, 0, 0, 0, 8, 0, 8, 8], [0, 8, 0, 8, 0, 8, 0, 8, 8, 8, 0, 0, 8, 8, 0, 8, 8, 8, 8, 8], [0, 8, 0, 0, 8, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8], [8, 0, 8, 8, 0, 0, 8, 8, 8, 0, 0, 0, 0, 8, 8, 0, 0, 0, 8, 0], [0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0], [0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1], [0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0], [0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1], [1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1], [1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1], [0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1], [1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0], [0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0], [0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0], [0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1], [1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1], [1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1], [0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1], [1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1], [0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0], [1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1], [1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0]] -> [[6, 0, 0, 6, 6, 6, 0, 0, 0, 0, 6, 0, 6, 0, 0, 6, 6, 6, 0, 0], [0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 0, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6, 6, 6, 0, 0, 0], [6, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 0, 6, 0, 6, 6, 6, 6, 6, 0], [0, 0, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0, 6, 6], [6, 6, 0, 0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 6, 6], [6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 6, 0, 0, 0, 6, 6, 6, 0, 6, 6], [6, 0, 0, 0, 0, 0, 6, 0, 0, 6, 6, 6, 0, 0, 6, 6, 0, 0, 6, 6], [6, 6, 6, 6, 6, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0, 0, 0, 6], [0, 0, 0, 6, 6, 0, 6, 6, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6], [6, 6, 6, 0, 0, 6, 0, 6, 6, 6, 0, 0, 6, 6, 6, 0, 0, 6, 6, 0], [0, 6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 6, 0, 6, 0, 0, 0, 6, 0, 0], [6, 0, 6, 0, 6, 0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 0, 0, 6, 6], [6, 6, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0], [6, 6, 6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6], [0, 0, 0, 6, 0, 0, 0, 6, 6, 6, 0, 0, 0, 6, 6, 6, 0, 6, 0, 0], [0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 0, 0, 0, 6, 0, 0, 0, 0], [0, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0], [6, 0, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 0, 6, 0, 6, 0], [6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 6, 0, 0, 0]]\nExample input-output arrays:\n[[7, 0, 7, 7, 0, 7, 0, 7, 7, 0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 7], [0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 7, 0, 0, 7, 7, 0, 7, 7, 0, 0], [0, 0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 7, 0, 7, 0, 0, 7, 7, 7], [7, 7, 0, 0, 7, 7, 7, 0, 0, 0, 0, 7, 7, 7, 0, 0, 7, 0, 0, 7], [0, 7, 0, 7, 7, 0, 0, 0, 7, 0, 7, 7, 7, 7, 7, 0, 0, 0, 7, 0], [0, 7, 0, 7, 7, 0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0], [0, 7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 7, 0, 7, 0, 0, 7, 0, 0, 7], [7, 7, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0, 7, 7, 0, 7, 7, 0, 0, 0], [0, 7, 7, 7, 7, 7, 0, 0, 7, 7, 7, 7, 7, 0, 7, 0, 0, 0, 0, 7], [0, 7, 7, 0, 7, 0, 0, 0, 7, 7, 7, 7, 0, 0, 7, 0, 0, 0, 0, 7], [0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0], [7, 0, 7, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 7, 7, 7, 0, 0, 7, 0], [7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0], [0, 7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 7, 7, 7, 0, 7, 0, 7], [7, 7, 0, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 7, 0], [7, 7, 7, 0, 0, 0, 0, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0, 7, 0, 7], [7, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 7, 7, 0, 7], [7, 0, 0, 7, 0, 7, 0, 7, 7, 7, 7, 0, 7, 0, 7, 0, 0, 7, 0, 0], [7, 7, 7, 0, 7, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 0, 7, 7, 0, 7], [0, 7, 7, 7, 0, 7, 0, 0, 7, 0, 0, 0, 7, 7, 7, 0, 7, 7, 0, 7], [8, 0, 8, 8, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 8, 0, 0, 8, 0], [8, 0, 0, 0, 0, 8, 8, 8, 0, 8, 0, 0, 0, 8, 8, 8, 8, 8, 8, 8], [8, 0, 8, 0, 8, 0, 8, 8, 8, 0, 8, 8, 0, 0, 0, 8, 8, 0, 0, 8], [8, 8, 0, 0, 8, 0, 8, 8, 0, 0, 8, 8, 0, 8, 0, 8, 8, 0, 0, 0], [8, 0, 0, 8, 0, 8, 8, 8, 0, 0, 0, 8, 0, 0, 8, 0, 0, 8, 0, 0], [0, 0, 8, 8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8], [8, 8, 0, 8, 8, 0, 0, 0, 8, 0, 0, 8, 0, 8, 0, 0, 0, 0, 8, 0], [8, 0, 8, 8, 0, 8, 8, 0, 0, 8, 0, 8, 0, 0, 0, 0, 8, 8, 8, 0], [0, 0, 0, 8, 0, 0, 8, 8, 8, 8, 8, 8, 0, 0, 8, 8, 8, 8, 8, 8], [0, 8, 8, 0, 8, 8, 0, 0, 8, 0, 8, 0, 8, 0, 8, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 8, 0, 8, 8, 0, 0, 8, 0, 8, 8, 8, 8, 8, 0, 8], [0, 8, 8, 8, 0, 0, 8, 8, 8, 8, 8, 0, 8, 0, 0, 8, 0, 8, 8, 8], [8, 0, 0, 0, 8, 8, 0, 8, 0, 8, 8, 8, 0, 0, 8, 0, 8, 8, 8, 8], [8, 0, 8, 8, 8, 0, 8, 0, 8, 0, 0, 0, 8, 0, 0, 0, 0, 8, 8, 8], [0, 8, 0, 8, 0, 8, 0, 8, 8, 0, 8, 8, 8, 8, 0, 0, 0, 0, 0, 8], [0, 8, 0, 0, 8, 8, 8, 8, 0, 0, 8, 8, 0, 0, 0, 0, 8, 8, 0, 8], [8, 8, 0, 8, 8, 8, 8, 0, 0, 8, 0, 0, 0, 0, 0, 0, 8, 0, 8, 8], [0, 8, 0, 8, 0, 8, 0, 8, 8, 8, 0, 0, 8, 8, 0, 8, 8, 8, 8, 8], [0, 8, 0, 0, 8, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8], [8, 0, 8, 8, 0, 0, 8, 8, 8, 0, 0, 0, 0, 8, 8, 0, 0, 0, 8, 0], [0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0], [0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1], [0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0], [0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1], [1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1], [1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1], [0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1], [1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0], [0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0], [0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0], [0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1], [1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1], [1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1], [0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1], [1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1], [0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0], [1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1], [1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0]] -> [[6, 0, 0, 6, 6, 6, 0, 0, 0, 0, 6, 0, 6, 0, 0, 6, 6, 6, 0, 0], [0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 0, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6, 6, 6, 0, 0, 0], [6, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 0, 6, 0, 6, 6, 6, 6, 6, 0], [0, 0, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0, 6, 6], [6, 6, 0, 0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 6, 6], [6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 6, 0, 0, 0, 6, 6, 6, 0, 6, 6], [6, 0, 0, 0, 0, 0, 6, 0, 0, 6, 6, 6, 0, 0, 6, 6, 0, 0, 6, 6], [6, 6, 6, 6, 6, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0, 0, 0, 6], [0, 0, 0, 6, 6, 0, 6, 6, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6], [6, 6, 6, 0, 0, 6, 0, 6, 6, 6, 0, 0, 6, 6, 6, 0, 0, 6, 6, 0], [0, 6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 6, 0, 6, 0, 0, 0, 6, 0, 0], [6, 0, 6, 0, 6, 0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 0, 0, 6, 6], [6, 6, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0], [6, 6, 6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6], [0, 0, 0, 6, 0, 0, 0, 6, 6, 6, 0, 0, 0, 6, 6, 6, 0, 6, 0, 0], [0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 0, 0, 0, 6, 0, 0, 0, 0], [0, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0], [6, 0, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 0, 6, 0, 6, 0], [6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 6, 0, 0, 0]]\nExample input-output arrays:\n[[7, 7, 7, 0, 0, 0, 7, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7], [7, 0, 7, 0, 0, 0, 0, 7, 7, 7, 7, 0, 7, 7, 7, 0, 7, 7, 0, 7], [0, 0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 7], [7, 0, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 0, 0, 7, 0, 0], [0, 7, 7, 0, 0, 0, 7, 7, 0, 0, 0, 0, 7, 7, 0, 0, 7, 7, 0, 0], [0, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 0, 7, 0, 0], [0, 7, 0, 0, 0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0, 7, 7, 7], [0, 0, 7, 0, 7, 7, 0, 7, 7, 0, 0, 7, 0, 7, 7, 7, 0, 0, 7, 7], [7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7, 7, 7, 0, 0, 7, 0, 0, 0], [0, 0, 7, 0, 0, 7, 0, 7, 7, 0, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7], [0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 7], [7, 0, 0, 7, 7, 7, 7, 0, 0, 7, 7, 7, 7, 0, 7, 0, 7, 7, 7, 0], [0, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7, 0, 0, 7, 7, 0, 7, 0, 0, 0], [0, 7, 7, 7, 0, 0, 0, 0, 7, 0, 7, 7, 0, 0, 7, 7, 7, 0, 7, 0], [7, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7], [7, 0, 7, 0, 7, 7, 0, 0, 0, 0, 7, 7, 0, 7, 7, 0, 7, 0, 7, 0], [7, 7, 7, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7], [0, 0, 7, 7, 0, 0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 0, 7, 7, 0, 0], [7, 7, 0, 7, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 7, 0, 0, 7, 7, 7], [0, 7, 7, 0, 7, 7, 7, 0, 0, 0, 7, 7, 0, 7, 0, 7, 7, 7, 7, 0], [0, 8, 8, 0, 0, 0, 0, 0, 0, 8, 8, 0, 0, 8, 0, 0, 0, 8, 8, 0], [8, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 8, 8], [0, 8, 0, 0, 0, 8, 8, 0, 8, 8, 8, 8, 8, 8, 8, 8, 0, 8, 0, 8], [0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 0, 8, 0, 8, 8, 0, 8, 8, 0, 0], [0, 8, 0, 8, 8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 8, 8, 8, 0, 0, 8, 0, 0, 0, 8, 0, 0, 8, 0, 0, 8, 8, 0], [0, 0, 8, 8, 8, 8, 0, 8, 0, 0, 0, 0, 8, 8, 0, 8, 0, 0, 0, 0], [8, 0, 8, 0, 0, 0, 0, 8, 0, 0, 8, 8, 8, 0, 0, 0, 8, 8, 8, 0], [0, 8, 8, 0, 0, 0, 0, 8, 8, 8, 0, 0, 8, 8, 8, 8, 8, 0, 8, 8], [8, 0, 0, 8, 8, 8, 0, 8, 0, 8, 0, 8, 8, 8, 8, 0, 0, 0, 0, 0], [8, 0, 8, 8, 0, 8, 0, 0, 0, 8, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0], [8, 8, 0, 8, 0, 8, 0, 0, 8, 8, 0, 0, 8, 8, 0, 0, 8, 0, 8, 8], [0, 0, 0, 0, 0, 0, 8, 0, 8, 8, 8, 0, 8, 0, 8, 8, 8, 8, 8, 8], [8, 0, 0, 0, 0, 8, 0, 0, 0, 0, 8, 8, 0, 8, 0, 8, 8, 0, 0, 0], [0, 8, 0, 0, 0, 8, 8, 0, 0, 0, 8, 0, 8, 8, 8, 0, 0, 0, 8, 0], [0, 0, 0, 0, 0, 8, 0, 8, 8, 8, 8, 8, 8, 0, 0, 0, 0, 0, 8, 8], [0, 8, 8, 8, 0, 8, 8, 0, 8, 8, 8, 8, 0, 0, 8, 0, 0, 8, 8, 0], [0, 0, 8, 0, 8, 0, 8, 8, 0, 8, 8, 8, 0, 8, 0, 8, 8, 0, 0, 0], [0, 8, 0, 0, 8, 8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 8, 8, 8, 8, 8], [8, 8, 8, 0, 8, 8, 0, 8, 8, 0, 8, 0, 8, 0, 0, 8, 0, 8, 8, 0], [0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0], [1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1], [1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1], [1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0], [0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1], [0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0], [0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0], [0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0], [1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1], [0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0], [1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1], [0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1], [0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0], [0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0], [0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1], [1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1], [1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1], [1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1], [1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1]] -> [[0, 0, 6, 0, 6, 6, 0, 0, 6, 0, 0, 0, 6, 0, 6, 6, 6, 0, 6, 0], [0, 6, 6, 6, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 6, 0, 6, 6, 6, 0], [6, 6, 0, 6, 6, 0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 6, 0], [6, 6, 6, 0, 0, 0, 6, 0, 0, 6, 6, 0, 6, 0, 0, 0, 6, 0, 6, 0], [0, 6, 6, 0, 0, 6, 6, 6, 0, 0, 0, 0, 6, 6, 0, 0, 6, 0, 0, 6], [0, 6, 6, 6, 0, 0, 6, 6, 6, 6, 6, 0, 0, 0, 0, 6, 0, 6, 0, 0], [0, 0, 0, 6, 0, 0, 6, 0, 0, 0, 6, 0, 6, 6, 6, 6, 0, 6, 0, 0], [0, 0, 6, 0, 0, 6, 6, 0, 0, 6, 6, 6, 6, 6, 0, 0, 6, 6, 6, 0], [0, 6, 0, 6, 6, 0, 0, 6, 6, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0], [6, 6, 0, 0, 6, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0, 6, 6, 0, 6, 6], [0, 0, 0, 0, 0, 6, 0, 6, 6, 0, 0, 0, 6, 6, 6, 6, 6, 0, 6, 0], [0, 0, 6, 0, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 6, 6], [0, 6, 6, 6, 6, 0, 0, 0, 6, 6, 0, 6, 6, 0, 6, 6, 0, 6, 0, 6], [0, 0, 6, 0, 6, 0, 6, 6, 6, 0, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0], [0, 6, 6, 6, 0, 0, 6, 0, 6, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0], [0, 0, 6, 6, 0, 0, 0, 6, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 6], [6, 0, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6, 6, 0, 0, 6, 6, 0, 6, 6], [6, 0, 6, 6, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6], [6, 0, 0, 0, 6, 6, 6, 0, 6, 0, 6, 0, 6, 0, 6, 6, 6, 0, 6, 0], [6, 6, 6, 6, 0, 6, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 6]]\nExample input-output arrays:\n[[7, 0, 7, 7, 0, 7, 0, 7, 7, 0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 7], [0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 7, 0, 0, 7, 7, 0, 7, 7, 0, 0], [0, 0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 7, 0, 7, 0, 0, 7, 7, 7], [7, 7, 0, 0, 7, 7, 7, 0, 0, 0, 0, 7, 7, 7, 0, 0, 7, 0, 0, 7], [0, 7, 0, 7, 7, 0, 0, 0, 7, 0, 7, 7, 7, 7, 7, 0, 0, 0, 7, 0], [0, 7, 0, 7, 7, 0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0], [0, 7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 7, 0, 7, 0, 0, 7, 0, 0, 7], [7, 7, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0, 7, 7, 0, 7, 7, 0, 0, 0], [0, 7, 7, 7, 7, 7, 0, 0, 7, 7, 7, 7, 7, 0, 7, 0, 0, 0, 0, 7], [0, 7, 7, 0, 7, 0, 0, 0, 7, 7, 7, 7, 0, 0, 7, 0, 0, 0, 0, 7], [0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0], [7, 0, 7, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 7, 7, 7, 0, 0, 7, 0], [7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0], [0, 7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 7, 7, 7, 0, 7, 0, 7], [7, 7, 0, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 7, 0], [7, 7, 7, 0, 0, 0, 0, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0, 7, 0, 7], [7, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 7, 7, 0, 7], [7, 0, 0, 7, 0, 7, 0, 7, 7, 7, 7, 0, 7, 0, 7, 0, 0, 7, 0, 0], [7, 7, 7, 0, 7, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 0, 7, 7, 0, 7], [0, 7, 7, 7, 0, 7, 0, 0, 7, 0, 0, 0, 7, 7, 7, 0, 7, 7, 0, 7], [8, 0, 8, 8, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 8, 0, 0, 8, 0], [8, 0, 0, 0, 0, 8, 8, 8, 0, 8, 0, 0, 0, 8, 8, 8, 8, 8, 8, 8], [8, 0, 8, 0, 8, 0, 8, 8, 8, 0, 8, 8, 0, 0, 0, 8, 8, 0, 0, 8], [8, 8, 0, 0, 8, 0, 8, 8, 0, 0, 8, 8, 0, 8, 0, 8, 8, 0, 0, 0], [8, 0, 0, 8, 0, 8, 8, 8, 0, 0, 0, 8, 0, 0, 8, 0, 0, 8, 0, 0], [0, 0, 8, 8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8], [8, 8, 0, 8, 8, 0, 0, 0, 8, 0, 0, 8, 0, 8, 0, 0, 0, 0, 8, 0], [8, 0, 8, 8, 0, 8, 8, 0, 0, 8, 0, 8, 0, 0, 0, 0, 8, 8, 8, 0], [0, 0, 0, 8, 0, 0, 8, 8, 8, 8, 8, 8, 0, 0, 8, 8, 8, 8, 8, 8], [0, 8, 8, 0, 8, 8, 0, 0, 8, 0, 8, 0, 8, 0, 8, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 8, 0, 8, 8, 0, 0, 8, 0, 8, 8, 8, 8, 8, 0, 8], [0, 8, 8, 8, 0, 0, 8, 8, 8, 8, 8, 0, 8, 0, 0, 8, 0, 8, 8, 8], [8, 0, 0, 0, 8, 8, 0, 8, 0, 8, 8, 8, 0, 0, 8, 0, 8, 8, 8, 8], [8, 0, 8, 8, 8, 0, 8, 0, 8, 0, 0, 0, 8, 0, 0, 0, 0, 8, 8, 8], [0, 8, 0, 8, 0, 8, 0, 8, 8, 0, 8, 8, 8, 8, 0, 0, 0, 0, 0, 8], [0, 8, 0, 0, 8, 8, 8, 8, 0, 0, 8, 8, 0, 0, 0, 0, 8, 8, 0, 8], [8, 8, 0, 8, 8, 8, 8, 0, 0, 8, 0, 0, 0, 0, 0, 0, 8, 0, 8, 8], [0, 8, 0, 8, 0, 8, 0, 8, 8, 8, 0, 0, 8, 8, 0, 8, 8, 8, 8, 8], [0, 8, 0, 0, 8, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8], [8, 0, 8, 8, 0, 0, 8, 8, 8, 0, 0, 0, 0, 8, 8, 0, 0, 0, 8, 0], [0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0], [0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1], [0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0], [0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1], [1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1], [1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1], [0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1], [1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0], [0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0], [0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0], [0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1], [1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1], [1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1], [0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1], [1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1], [0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0], [1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1], [1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0]] -> [[6, 0, 0, 6, 6, 6, 0, 0, 0, 0, 6, 0, 6, 0, 0, 6, 6, 6, 0, 0], [0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 0, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6, 6, 6, 0, 0, 0], [6, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 0, 6, 0, 6, 6, 6, 6, 6, 0], [0, 0, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0, 6, 6], [6, 6, 0, 0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 6, 6], [6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 6, 0, 0, 0, 6, 6, 6, 0, 6, 6], [6, 0, 0, 0, 0, 0, 6, 0, 0, 6, 6, 6, 0, 0, 6, 6, 0, 0, 6, 6], [6, 6, 6, 6, 6, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0, 0, 0, 6], [0, 0, 0, 6, 6, 0, 6, 6, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6], [6, 6, 6, 0, 0, 6, 0, 6, 6, 6, 0, 0, 6, 6, 6, 0, 0, 6, 6, 0], [0, 6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 6, 0, 6, 0, 0, 0, 6, 0, 0], [6, 0, 6, 0, 6, 0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 0, 0, 6, 6], [6, 6, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0], [6, 6, 6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6], [0, 0, 0, 6, 0, 0, 0, 6, 6, 6, 0, 0, 0, 6, 6, 6, 0, 6, 0, 0], [0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 0, 0, 0, 6, 0, 0, 0, 0], [0, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0], [6, 0, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 0, 6, 0, 6, 0], [6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 6, 0, 0, 0]]\n",
+            "Replicate 1": "You must solve the following causal discovery problem, where the cells in an input array are causal parents of cells in an output array. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. You must predict the causal function(s) that relate parent cells in the input to their children in the output. Be concise: do not explain your reasoning, and start your answer with 'The logical operators are'.\nExample input-output arrays:\n[[0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 7, 7, 7, 0, 0, 0], [0, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7], [7, 0, 0, 7, 0, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 0, 0, 7, 7], [7, 7, 0, 7, 0, 0, 7, 0, 7, 0, 7, 7, 0, 0, 7, 7, 7, 7, 7, 0], [7, 7, 7, 7, 7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 0, 0], [7, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 0, 0, 0, 0, 7, 0, 0], [0, 0, 7, 7, 7, 7, 0, 7, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 7, 7], [0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 7, 7, 7, 0, 7, 7, 0, 0, 0, 7], [0, 0, 7, 0, 0, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 0, 0, 7], [0, 0, 0, 7, 0, 0, 0, 7, 0, 7, 7, 7, 7, 7, 0, 7, 0, 0, 0, 7], [7, 7, 0, 0, 7, 7, 7, 7, 0, 0, 7, 0, 7, 0, 7, 7, 7, 0, 0, 7], [0, 7, 7, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 7, 7], [0, 7, 7, 0, 0, 0, 7, 7, 7, 0, 7, 0, 0, 0, 0, 7, 7, 7, 7, 7], [0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0], [0, 0, 0, 7, 0, 0, 0, 7, 0, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 7, 7, 7, 0, 7, 7, 7, 0, 0, 7, 0, 0, 7, 0, 7, 7], [7, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0], [7, 7, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 7], [7, 0, 0, 7, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7], [7, 0, 7, 0, 7, 0, 7, 7, 0, 7, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 0, 0, 0, 8, 0, 8], [0, 0, 8, 8, 8, 0, 8, 8, 8, 8, 8, 0, 8, 8, 8, 0, 0, 8, 0, 0], [8, 8, 8, 8, 8, 0, 8, 0, 8, 8, 8, 0, 8, 0, 0, 8, 0, 0, 8, 0], [0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 8, 0, 0, 8, 0, 8, 8, 8, 0, 8], [8, 0, 8, 0, 0, 0, 0, 8, 8, 0, 8, 8, 0, 8, 0, 8, 8, 0, 8, 0], [8, 0, 8, 0, 8, 8, 0, 8, 0, 0, 8, 8, 8, 0, 8, 8, 0, 0, 8, 0], [8, 8, 0, 0, 0, 0, 8, 8, 0, 8, 0, 8, 8, 8, 0, 8, 8, 8, 0, 8], [8, 8, 8, 0, 8, 8, 0, 8, 8, 8, 0, 0, 8, 0, 8, 0, 8, 8, 8, 8], [0, 8, 8, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 8, 8, 8, 8, 8, 0], [0, 8, 0, 8, 0, 8, 0, 0, 0, 0, 0, 8, 8, 8, 8, 8, 0, 8, 8, 8], [8, 8, 0, 8, 0, 0, 8, 0, 8, 8, 0, 0, 0, 0, 8, 0, 0, 8, 0, 0], [0, 0, 0, 0, 8, 8, 8, 8, 0, 8, 0, 8, 0, 8, 8, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 8, 0, 8, 8, 0, 8, 0, 8, 8, 8, 0, 0, 8, 0], [0, 0, 0, 0, 0, 8, 0, 8, 8, 8, 8, 8, 0, 8, 0, 0, 8, 0, 8, 8], [0, 8, 8, 8, 8, 8, 0, 8, 8, 8, 8, 8, 8, 8, 0, 0, 0, 8, 0, 8], [0, 8, 0, 0, 8, 8, 8, 0, 8, 8, 8, 8, 0, 8, 8, 0, 8, 8, 0, 0], [8, 8, 8, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 8, 0, 0, 8, 8], [8, 8, 8, 0, 8, 0, 8, 0, 8, 0, 0, 0, 8, 8, 0, 0, 8, 0, 0, 8], [0, 8, 0, 8, 0, 8, 0, 8, 8, 8, 0, 8, 0, 8, 0, 8, 8, 8, 0, 0], [0, 8, 0, 0, 0, 0, 8, 0, 8, 0, 0, 8, 0, 0, 8, 8, 0, 0, 8, 0], [1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0], [0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1], [1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0], [1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1], [0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1], [0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0], [1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0], [0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1], [0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1], [0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1], [1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0], [1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1], [1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1], [0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0], [1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1], [1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0], [1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0], [1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0], [0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0], [0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0]] -> [[6, 0, 0, 0, 6, 0, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0], [0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 6, 0, 0, 0, 0, 0, 6], [0, 0, 0, 0, 6, 0, 6, 0, 6, 0, 6, 6, 0, 0, 0, 6, 6, 0, 6, 0], [6, 6, 0, 6, 6, 0, 6, 0, 6, 0, 6, 0, 0, 6, 0, 6, 0, 0, 6, 6], [6, 6, 0, 0, 6, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 6, 0, 0, 6, 6], [6, 6, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 6, 6, 6, 0, 0], [6, 6, 0, 6, 0, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6], [0, 6, 0, 0, 6, 0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 0, 6, 0], [0, 6, 6, 0, 0, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6, 0, 6, 6, 0, 6], [0, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 0, 6, 0, 6, 6, 0, 0], [0, 6, 0, 0, 6, 0, 6, 6, 0, 0, 6, 0, 0, 6, 0, 6, 0, 6, 0, 0], [6, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 0, 6, 0, 0, 0, 0, 6, 6, 6], [6, 6, 6, 0, 6, 0, 6, 6, 0, 6, 0, 0, 0, 6, 6, 6, 6, 0, 6, 6], [0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 6, 0, 6, 0, 6, 6, 0, 0, 6, 0], [6, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 0, 6, 6], [6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0], [0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 0, 6, 6, 6, 6, 6], [0, 6, 0, 0, 0, 0, 6, 0, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 6, 0], [0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 6, 6, 6, 0, 0, 0, 0, 6, 6, 0]]\nExample input-output arrays:\n[[7, 0, 7, 7, 0, 7, 0, 7, 7, 0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 7], [0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 7, 0, 0, 7, 7, 0, 7, 7, 0, 0], [0, 0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 7, 0, 7, 0, 0, 7, 7, 7], [7, 7, 0, 0, 7, 7, 7, 0, 0, 0, 0, 7, 7, 7, 0, 0, 7, 0, 0, 7], [0, 7, 0, 7, 7, 0, 0, 0, 7, 0, 7, 7, 7, 7, 7, 0, 0, 0, 7, 0], [0, 7, 0, 7, 7, 0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0], [0, 7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 7, 0, 7, 0, 0, 7, 0, 0, 7], [7, 7, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0, 7, 7, 0, 7, 7, 0, 0, 0], [0, 7, 7, 7, 7, 7, 0, 0, 7, 7, 7, 7, 7, 0, 7, 0, 0, 0, 0, 7], [0, 7, 7, 0, 7, 0, 0, 0, 7, 7, 7, 7, 0, 0, 7, 0, 0, 0, 0, 7], [0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0], [7, 0, 7, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 7, 7, 7, 0, 0, 7, 0], [7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0], [0, 7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 7, 7, 7, 0, 7, 0, 7], [7, 7, 0, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 7, 0], [7, 7, 7, 0, 0, 0, 0, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0, 7, 0, 7], [7, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 7, 7, 0, 7], [7, 0, 0, 7, 0, 7, 0, 7, 7, 7, 7, 0, 7, 0, 7, 0, 0, 7, 0, 0], [7, 7, 7, 0, 7, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 0, 7, 7, 0, 7], [0, 7, 7, 7, 0, 7, 0, 0, 7, 0, 0, 0, 7, 7, 7, 0, 7, 7, 0, 7], [8, 0, 8, 8, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 8, 0, 0, 8, 0], [8, 0, 0, 0, 0, 8, 8, 8, 0, 8, 0, 0, 0, 8, 8, 8, 8, 8, 8, 8], [8, 0, 8, 0, 8, 0, 8, 8, 8, 0, 8, 8, 0, 0, 0, 8, 8, 0, 0, 8], [8, 8, 0, 0, 8, 0, 8, 8, 0, 0, 8, 8, 0, 8, 0, 8, 8, 0, 0, 0], [8, 0, 0, 8, 0, 8, 8, 8, 0, 0, 0, 8, 0, 0, 8, 0, 0, 8, 0, 0], [0, 0, 8, 8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8], [8, 8, 0, 8, 8, 0, 0, 0, 8, 0, 0, 8, 0, 8, 0, 0, 0, 0, 8, 0], [8, 0, 8, 8, 0, 8, 8, 0, 0, 8, 0, 8, 0, 0, 0, 0, 8, 8, 8, 0], [0, 0, 0, 8, 0, 0, 8, 8, 8, 8, 8, 8, 0, 0, 8, 8, 8, 8, 8, 8], [0, 8, 8, 0, 8, 8, 0, 0, 8, 0, 8, 0, 8, 0, 8, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 8, 0, 8, 8, 0, 0, 8, 0, 8, 8, 8, 8, 8, 0, 8], [0, 8, 8, 8, 0, 0, 8, 8, 8, 8, 8, 0, 8, 0, 0, 8, 0, 8, 8, 8], [8, 0, 0, 0, 8, 8, 0, 8, 0, 8, 8, 8, 0, 0, 8, 0, 8, 8, 8, 8], [8, 0, 8, 8, 8, 0, 8, 0, 8, 0, 0, 0, 8, 0, 0, 0, 0, 8, 8, 8], [0, 8, 0, 8, 0, 8, 0, 8, 8, 0, 8, 8, 8, 8, 0, 0, 0, 0, 0, 8], [0, 8, 0, 0, 8, 8, 8, 8, 0, 0, 8, 8, 0, 0, 0, 0, 8, 8, 0, 8], [8, 8, 0, 8, 8, 8, 8, 0, 0, 8, 0, 0, 0, 0, 0, 0, 8, 0, 8, 8], [0, 8, 0, 8, 0, 8, 0, 8, 8, 8, 0, 0, 8, 8, 0, 8, 8, 8, 8, 8], [0, 8, 0, 0, 8, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8], [8, 0, 8, 8, 0, 0, 8, 8, 8, 0, 0, 0, 0, 8, 8, 0, 0, 0, 8, 0], [0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0], [0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1], [0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0], [0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1], [1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1], [1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1], [0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1], [1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0], [0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0], [0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0], [0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1], [1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1], [1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1], [0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1], [1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1], [0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0], [1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1], [1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0]] -> [[6, 0, 0, 6, 6, 6, 0, 0, 0, 0, 6, 0, 6, 0, 0, 6, 6, 6, 0, 0], [0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 0, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6, 6, 6, 0, 0, 0], [6, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 0, 6, 0, 6, 6, 6, 6, 6, 0], [0, 0, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0, 6, 6], [6, 6, 0, 0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 6, 6], [6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 6, 0, 0, 0, 6, 6, 6, 0, 6, 6], [6, 0, 0, 0, 0, 0, 6, 0, 0, 6, 6, 6, 0, 0, 6, 6, 0, 0, 6, 6], [6, 6, 6, 6, 6, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0, 0, 0, 6], [0, 0, 0, 6, 6, 0, 6, 6, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6], [6, 6, 6, 0, 0, 6, 0, 6, 6, 6, 0, 0, 6, 6, 6, 0, 0, 6, 6, 0], [0, 6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 6, 0, 6, 0, 0, 0, 6, 0, 0], [6, 0, 6, 0, 6, 0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 0, 0, 6, 6], [6, 6, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0], [6, 6, 6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6], [0, 0, 0, 6, 0, 0, 0, 6, 6, 6, 0, 0, 0, 6, 6, 6, 0, 6, 0, 0], [0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 0, 0, 0, 6, 0, 0, 0, 0], [0, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0], [6, 0, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 0, 6, 0, 6, 0], [6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 6, 0, 0, 0]]\nExample input-output arrays:\n[[7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 7, 7, 7, 0, 7, 7], [7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 7, 0, 0, 7, 7, 7, 7, 0, 7, 0], [7, 0, 7, 0, 7, 7, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0, 0, 7, 0, 7], [0, 7, 7, 7, 0, 7, 7, 0, 0, 7, 7, 7, 0, 0, 0, 0, 7, 0, 7, 7], [0, 7, 7, 0, 0, 7, 0, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 0, 0, 0], [7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 7, 7, 0, 0, 7, 0, 7], [7, 0, 7, 0, 0, 0, 7, 0, 0, 7, 0, 7, 7, 0, 0, 0, 0, 0, 0, 7], [0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 0, 0, 7, 7, 7, 0, 0, 0, 7, 0, 7, 0], [7, 0, 7, 7, 7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 0, 7, 0, 7, 7], [7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0], [0, 0, 7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 0, 7, 0, 7, 0, 7], [0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7], [0, 7, 7, 0, 7, 7, 7, 0, 0, 0, 7, 7, 7, 7, 0, 7, 7, 0, 0, 0], [0, 0, 0, 0, 0, 7, 0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0, 0], [0, 0, 0, 0, 7, 0, 0, 0, 7, 0, 7, 7, 7, 7, 0, 0, 0, 7, 0, 7], [0, 0, 0, 7, 7, 0, 7, 0, 0, 0, 7, 7, 7, 7, 0, 0, 0, 0, 7, 7], [0, 0, 0, 7, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7, 0, 0, 7, 0, 0, 0], [0, 7, 7, 0, 7, 7, 7, 0, 0, 7, 0, 0, 7, 0, 0, 0, 7, 7, 7, 7], [0, 7, 0, 0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 7, 0, 0, 7, 0, 0, 7], [8, 0, 0, 0, 0, 0, 8, 0, 0, 8, 0, 8, 0, 8, 8, 0, 8, 8, 8, 8], [8, 8, 0, 8, 0, 0, 8, 8, 0, 8, 0, 8, 8, 8, 0, 8, 0, 0, 8, 0], [0, 8, 0, 8, 0, 8, 0, 8, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 8, 0], [0, 8, 8, 8, 8, 8, 0, 0, 0, 0, 8, 0, 8, 0, 0, 8, 8, 0, 8, 0], [8, 8, 8, 0, 0, 0, 8, 0, 8, 8, 8, 8, 0, 0, 8, 0, 0, 8, 8, 8], [0, 0, 8, 8, 0, 0, 8, 8, 0, 8, 8, 8, 0, 8, 0, 8, 8, 0, 0, 8], [0, 8, 0, 8, 8, 8, 0, 0, 8, 0, 0, 8, 0, 8, 0, 8, 8, 8, 8, 0], [8, 8, 0, 8, 8, 0, 8, 8, 8, 0, 8, 0, 8, 0, 0, 0, 8, 0, 0, 0], [0, 8, 0, 8, 8, 8, 0, 8, 8, 0, 8, 8, 8, 8, 0, 0, 0, 0, 8, 8], [0, 8, 8, 0, 0, 0, 8, 8, 8, 0, 0, 8, 8, 0, 8, 0, 0, 0, 0, 0], [8, 8, 0, 0, 8, 8, 0, 8, 8, 8, 0, 8, 0, 0, 8, 8, 0, 8, 8, 8], [8, 0, 0, 8, 8, 8, 0, 8, 8, 0, 0, 8, 0, 0, 8, 0, 0, 0, 0, 8], [8, 8, 8, 0, 0, 8, 8, 8, 8, 0, 8, 0, 8, 8, 0, 8, 8, 8, 0, 8], [0, 0, 8, 8, 0, 0, 0, 8, 8, 0, 0, 8, 8, 8, 8, 0, 8, 8, 0, 0], [0, 8, 8, 8, 0, 0, 0, 8, 8, 0, 8, 8, 0, 8, 0, 0, 8, 0, 0, 8], [0, 8, 8, 0, 8, 8, 8, 0, 8, 8, 0, 0, 0, 0, 0, 0, 8, 0, 8, 8], [0, 0, 0, 8, 8, 8, 0, 8, 8, 8, 8, 0, 0, 8, 0, 8, 8, 8, 8, 0], [0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 8, 0, 8, 0, 0, 8, 8], [0, 0, 0, 0, 0, 0, 8, 0, 0, 8, 8, 0, 0, 0, 0, 8, 8, 0, 0, 8], [0, 0, 8, 8, 0, 0, 8, 0, 8, 8, 0, 8, 0, 0, 0, 0, 8, 0, 8, 8], [0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0], [1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1], [1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0], [0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1], [0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1], [0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0], [0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0], [0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0], [0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1], [0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1], [1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1], [1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1], [1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1], [0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1], [1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1], [0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0], [1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0], [0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1], [0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0], [1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0]] -> [[6, 6, 6, 6, 6, 6, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6], [0, 6, 6, 0, 6, 0, 0, 6, 0, 0, 0, 6, 0, 6, 0, 0, 6, 6, 6, 6], [6, 6, 6, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 6, 0], [0, 0, 0, 6, 0, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0, 6, 0, 0, 6, 6], [0, 0, 6, 6, 0, 6, 0, 6, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 6, 6], [0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 6, 6], [0, 0, 6, 6, 0, 0, 0, 0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6, 0, 0], [0, 6, 6, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 6, 0, 0], [0, 6, 0, 0, 0, 0, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 0, 6, 6, 6], [0, 6, 0, 0, 6, 6, 0, 0, 0, 6, 6, 6, 0, 6, 6, 6, 6, 0, 6, 6], [0, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 0, 0, 6, 0, 6, 0, 0, 6, 6], [6, 6, 6, 6, 6, 0, 6, 6, 6, 0, 0, 0, 6, 0, 6, 6, 0, 0, 0, 0], [6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6, 0, 0, 6, 6, 0], [0, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6], [6, 6, 0, 6, 0, 6, 6, 0, 6, 0, 6, 6, 6, 6, 0, 0, 6, 6, 0, 6], [0, 0, 6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 6, 6, 0, 0, 6, 6], [6, 6, 0, 0, 0, 6, 0, 0, 6, 0, 0, 0, 6, 0, 0, 6, 6, 6, 6, 0], [0, 6, 6, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 0, 6, 0, 6, 6], [0, 6, 6, 0, 0, 6, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0, 0, 6], [6, 0, 6, 0, 0, 0, 6, 0, 0, 6, 0, 6, 0, 6, 0, 0, 6, 6, 6, 6]]\nExample input-output arrays:\n[[7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 7, 7, 7, 0, 7, 7], [7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 7, 0, 0, 7, 7, 7, 7, 0, 7, 0], [7, 0, 7, 0, 7, 7, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0, 0, 7, 0, 7], [0, 7, 7, 7, 0, 7, 7, 0, 0, 7, 7, 7, 0, 0, 0, 0, 7, 0, 7, 7], [0, 7, 7, 0, 0, 7, 0, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 0, 0, 0], [7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 7, 7, 0, 0, 7, 0, 7], [7, 0, 7, 0, 0, 0, 7, 0, 0, 7, 0, 7, 7, 0, 0, 0, 0, 0, 0, 7], [0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 0, 0, 7, 7, 7, 0, 0, 0, 7, 0, 7, 0], [7, 0, 7, 7, 7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 0, 7, 0, 7, 7], [7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0], [0, 0, 7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 0, 7, 0, 7, 0, 7], [0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7], [0, 7, 7, 0, 7, 7, 7, 0, 0, 0, 7, 7, 7, 7, 0, 7, 7, 0, 0, 0], [0, 0, 0, 0, 0, 7, 0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0, 0], [0, 0, 0, 0, 7, 0, 0, 0, 7, 0, 7, 7, 7, 7, 0, 0, 0, 7, 0, 7], [0, 0, 0, 7, 7, 0, 7, 0, 0, 0, 7, 7, 7, 7, 0, 0, 0, 0, 7, 7], [0, 0, 0, 7, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7, 0, 0, 7, 0, 0, 0], [0, 7, 7, 0, 7, 7, 7, 0, 0, 7, 0, 0, 7, 0, 0, 0, 7, 7, 7, 7], [0, 7, 0, 0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 7, 0, 0, 7, 0, 0, 7], [8, 0, 0, 0, 0, 0, 8, 0, 0, 8, 0, 8, 0, 8, 8, 0, 8, 8, 8, 8], [8, 8, 0, 8, 0, 0, 8, 8, 0, 8, 0, 8, 8, 8, 0, 8, 0, 0, 8, 0], [0, 8, 0, 8, 0, 8, 0, 8, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 8, 0], [0, 8, 8, 8, 8, 8, 0, 0, 0, 0, 8, 0, 8, 0, 0, 8, 8, 0, 8, 0], [8, 8, 8, 0, 0, 0, 8, 0, 8, 8, 8, 8, 0, 0, 8, 0, 0, 8, 8, 8], [0, 0, 8, 8, 0, 0, 8, 8, 0, 8, 8, 8, 0, 8, 0, 8, 8, 0, 0, 8], [0, 8, 0, 8, 8, 8, 0, 0, 8, 0, 0, 8, 0, 8, 0, 8, 8, 8, 8, 0], [8, 8, 0, 8, 8, 0, 8, 8, 8, 0, 8, 0, 8, 0, 0, 0, 8, 0, 0, 0], [0, 8, 0, 8, 8, 8, 0, 8, 8, 0, 8, 8, 8, 8, 0, 0, 0, 0, 8, 8], [0, 8, 8, 0, 0, 0, 8, 8, 8, 0, 0, 8, 8, 0, 8, 0, 0, 0, 0, 0], [8, 8, 0, 0, 8, 8, 0, 8, 8, 8, 0, 8, 0, 0, 8, 8, 0, 8, 8, 8], [8, 0, 0, 8, 8, 8, 0, 8, 8, 0, 0, 8, 0, 0, 8, 0, 0, 0, 0, 8], [8, 8, 8, 0, 0, 8, 8, 8, 8, 0, 8, 0, 8, 8, 0, 8, 8, 8, 0, 8], [0, 0, 8, 8, 0, 0, 0, 8, 8, 0, 0, 8, 8, 8, 8, 0, 8, 8, 0, 0], [0, 8, 8, 8, 0, 0, 0, 8, 8, 0, 8, 8, 0, 8, 0, 0, 8, 0, 0, 8], [0, 8, 8, 0, 8, 8, 8, 0, 8, 8, 0, 0, 0, 0, 0, 0, 8, 0, 8, 8], [0, 0, 0, 8, 8, 8, 0, 8, 8, 8, 8, 0, 0, 8, 0, 8, 8, 8, 8, 0], [0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 8, 0, 8, 0, 0, 8, 8], [0, 0, 0, 0, 0, 0, 8, 0, 0, 8, 8, 0, 0, 0, 0, 8, 8, 0, 0, 8], [0, 0, 8, 8, 0, 0, 8, 0, 8, 8, 0, 8, 0, 0, 0, 0, 8, 0, 8, 8], [0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0], [1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1], [1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0], [0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1], [0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1], [0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0], [0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0], [0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0], [0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1], [0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1], [1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1], [1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1], [1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1], [0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1], [1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1], [0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0], [1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0], [0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1], [0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0], [1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0]] -> [[6, 6, 6, 6, 6, 6, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6], [0, 6, 6, 0, 6, 0, 0, 6, 0, 0, 0, 6, 0, 6, 0, 0, 6, 6, 6, 6], [6, 6, 6, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 6, 0], [0, 0, 0, 6, 0, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0, 6, 0, 0, 6, 6], [0, 0, 6, 6, 0, 6, 0, 6, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 6, 6], [0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 6, 6], [0, 0, 6, 6, 0, 0, 0, 0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6, 0, 0], [0, 6, 6, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 6, 0, 0], [0, 6, 0, 0, 0, 0, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 0, 6, 6, 6], [0, 6, 0, 0, 6, 6, 0, 0, 0, 6, 6, 6, 0, 6, 6, 6, 6, 0, 6, 6], [0, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 0, 0, 6, 0, 6, 0, 0, 6, 6], [6, 6, 6, 6, 6, 0, 6, 6, 6, 0, 0, 0, 6, 0, 6, 6, 0, 0, 0, 0], [6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6, 0, 0, 6, 6, 0], [0, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6], [6, 6, 0, 6, 0, 6, 6, 0, 6, 0, 6, 6, 6, 6, 0, 0, 6, 6, 0, 6], [0, 0, 6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 6, 6, 0, 0, 6, 6], [6, 6, 0, 0, 0, 6, 0, 0, 6, 0, 0, 0, 6, 0, 0, 6, 6, 6, 6, 0], [0, 6, 6, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 0, 6, 0, 6, 6], [0, 6, 6, 0, 0, 6, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0, 0, 6], [6, 0, 6, 0, 0, 0, 6, 0, 0, 6, 0, 6, 0, 6, 0, 0, 6, 6, 6, 6]]\n",
+            "Replicate 2": "You must solve the following causal discovery problem, where the cells in an input array are causal parents of cells in an output array. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. You must predict the causal function(s) that relate parent cells in the input to their children in the output. Be concise: do not explain your reasoning, and start your answer with 'The logical operators are'.\nExample input-output arrays:\n[[7, 0, 0, 0, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 7, 0, 7, 7, 0, 0], [7, 7, 0, 0, 7, 7, 7, 7, 7, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7], [0, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7, 7, 7], [0, 7, 0, 0, 7, 7, 7, 0, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0], [7, 7, 0, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 7, 0, 0, 7, 0, 0, 0], [0, 0, 7, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 0, 7], [7, 0, 7, 7, 7, 0, 0, 7, 0, 7, 7, 0, 0, 0, 0, 0, 7, 0, 7, 0], [7, 7, 0, 7, 7, 0, 0, 0, 7, 0, 7, 7, 0, 0, 7, 0, 7, 7, 7, 0], [7, 7, 0, 0, 0, 7, 7, 7, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 7, 7], [7, 7, 7, 7, 0, 0, 7, 0, 7, 0, 7, 0, 7, 7, 0, 0, 7, 7, 0, 0], [7, 0, 7, 0, 7, 7, 7, 7, 7, 0, 0, 0, 0, 7, 0, 7, 7, 0, 0, 0], [7, 0, 7, 7, 7, 7, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7], [7, 7, 7, 7, 7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7, 0, 0, 0, 0, 7], [7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0], [0, 7, 0, 7, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 7], [7, 0, 0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7], [0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 7, 7, 0, 0, 7, 7, 0, 0, 0, 0], [0, 7, 7, 0, 7, 7, 0, 0, 7, 0, 7, 0, 7, 7, 7, 0, 0, 0, 7, 0], [7, 7, 0, 7, 7, 7, 0, 7, 0, 0, 7, 7, 0, 7, 7, 0, 7, 0, 0, 7], [0, 7, 0, 0, 0, 0, 7, 0, 7, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 7], [0, 0, 8, 0, 0, 8, 0, 0, 0, 0, 8, 8, 8, 0, 8, 8, 8, 0, 0, 8], [8, 8, 8, 8, 8, 8, 0, 8, 0, 8, 0, 8, 8, 8, 0, 0, 8, 8, 0, 8], [8, 8, 8, 0, 8, 0, 8, 8, 8, 0, 8, 8, 8, 8, 0, 0, 8, 8, 8, 0], [8, 8, 8, 0, 0, 0, 8, 8, 0, 0, 8, 0, 0, 8, 8, 8, 0, 0, 0, 0], [8, 8, 0, 0, 8, 0, 8, 8, 0, 0, 8, 0, 8, 8, 0, 8, 8, 0, 0, 8], [8, 8, 8, 8, 8, 8, 8, 0, 8, 8, 8, 0, 0, 8, 0, 8, 0, 0, 8, 0], [8, 8, 0, 0, 8, 8, 0, 8, 0, 8, 0, 8, 8, 0, 8, 0, 8, 0, 0, 8], [0, 8, 0, 0, 8, 0, 0, 8, 0, 8, 0, 8, 0, 8, 0, 8, 8, 8, 0, 8], [8, 0, 8, 0, 0, 8, 8, 8, 8, 0, 8, 0, 0, 0, 0, 0, 8, 0, 8, 0], [8, 0, 0, 8, 0, 0, 8, 0, 0, 8, 8, 8, 0, 8, 0, 0, 8, 8, 0, 8], [8, 8, 8, 0, 0, 0, 8, 0, 0, 8, 8, 8, 8, 8, 8, 0, 0, 0, 8, 0], [0, 0, 0, 0, 8, 0, 0, 8, 0, 8, 8, 0, 0, 8, 0, 0, 8, 8, 8, 0], [8, 8, 8, 0, 0, 8, 0, 8, 8, 8, 0, 8, 8, 0, 8, 8, 0, 8, 0, 0], [8, 0, 0, 0, 8, 0, 8, 0, 8, 0, 0, 0, 8, 0, 8, 8, 0, 8, 8, 8], [0, 0, 8, 8, 0, 8, 0, 0, 8, 0, 0, 0, 0, 0, 0, 8, 0, 8, 0, 0], [8, 0, 8, 0, 0, 8, 0, 0, 0, 8, 8, 8, 0, 8, 8, 0, 0, 0, 8, 0], [0, 0, 8, 0, 8, 0, 0, 8, 0, 8, 8, 0, 8, 0, 8, 0, 8, 8, 8, 8], [0, 0, 8, 0, 0, 0, 0, 8, 8, 0, 8, 8, 0, 8, 0, 0, 0, 8, 0, 0], [8, 0, 0, 8, 0, 8, 0, 0, 8, 8, 8, 0, 0, 0, 0, 8, 0, 0, 0, 8], [8, 8, 0, 0, 0, 8, 0, 0, 8, 8, 0, 8, 0, 8, 0, 8, 8, 8, 8, 0], [0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0], [0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1], [0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1], [1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1], [0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0], [1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1], [1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0], [0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1], [0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1], [0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1], [0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0], [0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0], [1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0], [1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0], [0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1], [1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0], [1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1], [1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1], [1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1]] -> [[0, 0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 0, 0, 0, 6, 6, 0, 0, 6, 0], [6, 6, 6, 6, 0, 6, 6, 0, 6, 6, 0, 6, 0, 0, 6, 0, 6, 6, 0, 0], [0, 6, 0, 0, 0, 0, 0, 0, 6, 0, 0, 6, 0, 6, 6, 6, 0, 0, 6, 6], [6, 6, 0, 0, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 6, 6, 6, 0, 0, 0], [6, 6, 6, 0, 0, 0, 0, 6, 6, 0, 6, 6, 0, 6, 6, 0, 6, 6, 0, 6], [0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 6, 0], [0, 0, 6, 0, 0, 6, 0, 0, 0, 0, 6, 6, 6, 0, 6, 6, 6, 6, 0, 6], [6, 6, 6, 6, 0, 0, 6, 0, 0, 0, 0, 0, 6, 6, 0, 6, 6, 0, 6, 0], [6, 6, 0, 0, 6, 6, 0, 0, 6, 0, 0, 0, 0, 0, 6, 6, 0, 6, 6, 6], [6, 6, 6, 0, 6, 6, 0, 0, 6, 0, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6], [6, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 6, 6, 6, 6, 6], [0, 0, 0, 6, 0, 0, 6, 6, 6, 6, 0, 0, 6, 6, 6, 0, 6, 0, 6, 0], [6, 0, 0, 0, 6, 0, 0, 0, 0, 6, 6, 0, 6, 0, 6, 6, 0, 6, 6, 0], [0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0], [6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 0, 6, 0, 0, 0, 6, 6, 0], [6, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 6, 0, 0, 6], [6, 0, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 6, 0], [6, 0, 6, 0, 6, 6, 6, 6, 6, 0, 0, 0, 6, 6, 6, 0, 0, 6, 0, 6], [0, 6, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0], [6, 6, 0, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 6]]\nExample input-output arrays:\n[[7, 0, 7, 7, 0, 7, 0, 7, 7, 0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 7], [0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 7, 0, 0, 7, 7, 0, 7, 7, 0, 0], [0, 0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 7, 0, 7, 0, 0, 7, 7, 7], [7, 7, 0, 0, 7, 7, 7, 0, 0, 0, 0, 7, 7, 7, 0, 0, 7, 0, 0, 7], [0, 7, 0, 7, 7, 0, 0, 0, 7, 0, 7, 7, 7, 7, 7, 0, 0, 0, 7, 0], [0, 7, 0, 7, 7, 0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0], [0, 7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 7, 0, 7, 0, 0, 7, 0, 0, 7], [7, 7, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0, 7, 7, 0, 7, 7, 0, 0, 0], [0, 7, 7, 7, 7, 7, 0, 0, 7, 7, 7, 7, 7, 0, 7, 0, 0, 0, 0, 7], [0, 7, 7, 0, 7, 0, 0, 0, 7, 7, 7, 7, 0, 0, 7, 0, 0, 0, 0, 7], [0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0], [7, 0, 7, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 7, 7, 7, 0, 0, 7, 0], [7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0], [0, 7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 7, 7, 7, 0, 7, 0, 7], [7, 7, 0, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 7, 0], [7, 7, 7, 0, 0, 0, 0, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0, 7, 0, 7], [7, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 7, 7, 0, 7], [7, 0, 0, 7, 0, 7, 0, 7, 7, 7, 7, 0, 7, 0, 7, 0, 0, 7, 0, 0], [7, 7, 7, 0, 7, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 0, 7, 7, 0, 7], [0, 7, 7, 7, 0, 7, 0, 0, 7, 0, 0, 0, 7, 7, 7, 0, 7, 7, 0, 7], [8, 0, 8, 8, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 8, 0, 0, 8, 0], [8, 0, 0, 0, 0, 8, 8, 8, 0, 8, 0, 0, 0, 8, 8, 8, 8, 8, 8, 8], [8, 0, 8, 0, 8, 0, 8, 8, 8, 0, 8, 8, 0, 0, 0, 8, 8, 0, 0, 8], [8, 8, 0, 0, 8, 0, 8, 8, 0, 0, 8, 8, 0, 8, 0, 8, 8, 0, 0, 0], [8, 0, 0, 8, 0, 8, 8, 8, 0, 0, 0, 8, 0, 0, 8, 0, 0, 8, 0, 0], [0, 0, 8, 8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8], [8, 8, 0, 8, 8, 0, 0, 0, 8, 0, 0, 8, 0, 8, 0, 0, 0, 0, 8, 0], [8, 0, 8, 8, 0, 8, 8, 0, 0, 8, 0, 8, 0, 0, 0, 0, 8, 8, 8, 0], [0, 0, 0, 8, 0, 0, 8, 8, 8, 8, 8, 8, 0, 0, 8, 8, 8, 8, 8, 8], [0, 8, 8, 0, 8, 8, 0, 0, 8, 0, 8, 0, 8, 0, 8, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 8, 0, 8, 8, 0, 0, 8, 0, 8, 8, 8, 8, 8, 0, 8], [0, 8, 8, 8, 0, 0, 8, 8, 8, 8, 8, 0, 8, 0, 0, 8, 0, 8, 8, 8], [8, 0, 0, 0, 8, 8, 0, 8, 0, 8, 8, 8, 0, 0, 8, 0, 8, 8, 8, 8], [8, 0, 8, 8, 8, 0, 8, 0, 8, 0, 0, 0, 8, 0, 0, 0, 0, 8, 8, 8], [0, 8, 0, 8, 0, 8, 0, 8, 8, 0, 8, 8, 8, 8, 0, 0, 0, 0, 0, 8], [0, 8, 0, 0, 8, 8, 8, 8, 0, 0, 8, 8, 0, 0, 0, 0, 8, 8, 0, 8], [8, 8, 0, 8, 8, 8, 8, 0, 0, 8, 0, 0, 0, 0, 0, 0, 8, 0, 8, 8], [0, 8, 0, 8, 0, 8, 0, 8, 8, 8, 0, 0, 8, 8, 0, 8, 8, 8, 8, 8], [0, 8, 0, 0, 8, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8], [8, 0, 8, 8, 0, 0, 8, 8, 8, 0, 0, 0, 0, 8, 8, 0, 0, 0, 8, 0], [0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0], [0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1], [0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0], [0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1], [1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1], [1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1], [0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1], [1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0], [0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0], [0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0], [0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1], [1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1], [1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1], [0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1], [1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1], [0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0], [1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1], [1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0]] -> [[6, 0, 0, 6, 6, 6, 0, 0, 0, 0, 6, 0, 6, 0, 0, 6, 6, 6, 0, 0], [0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 0, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6, 6, 6, 0, 0, 0], [6, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 0, 6, 0, 6, 6, 6, 6, 6, 0], [0, 0, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0, 6, 6], [6, 6, 0, 0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 6, 6], [6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 6, 0, 0, 0, 6, 6, 6, 0, 6, 6], [6, 0, 0, 0, 0, 0, 6, 0, 0, 6, 6, 6, 0, 0, 6, 6, 0, 0, 6, 6], [6, 6, 6, 6, 6, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0, 0, 0, 6], [0, 0, 0, 6, 6, 0, 6, 6, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6], [6, 6, 6, 0, 0, 6, 0, 6, 6, 6, 0, 0, 6, 6, 6, 0, 0, 6, 6, 0], [0, 6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 6, 0, 6, 0, 0, 0, 6, 0, 0], [6, 0, 6, 0, 6, 0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 0, 0, 6, 6], [6, 6, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0], [6, 6, 6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6], [0, 0, 0, 6, 0, 0, 0, 6, 6, 6, 0, 0, 0, 6, 6, 6, 0, 6, 0, 0], [0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 0, 0, 0, 6, 0, 0, 0, 0], [0, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0], [6, 0, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 0, 6, 0, 6, 0], [6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 6, 0, 0, 0]]\nExample input-output arrays:\n[[7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 7, 7, 7, 0, 7, 7], [7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 7, 0, 0, 7, 7, 7, 7, 0, 7, 0], [7, 0, 7, 0, 7, 7, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0, 0, 7, 0, 7], [0, 7, 7, 7, 0, 7, 7, 0, 0, 7, 7, 7, 0, 0, 0, 0, 7, 0, 7, 7], [0, 7, 7, 0, 0, 7, 0, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 0, 0, 0], [7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 7, 7, 0, 0, 7, 0, 7], [7, 0, 7, 0, 0, 0, 7, 0, 0, 7, 0, 7, 7, 0, 0, 0, 0, 0, 0, 7], [0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 0, 0, 7, 7, 7, 0, 0, 0, 7, 0, 7, 0], [7, 0, 7, 7, 7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 0, 7, 0, 7, 7], [7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0], [0, 0, 7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 0, 7, 0, 7, 0, 7], [0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7], [0, 7, 7, 0, 7, 7, 7, 0, 0, 0, 7, 7, 7, 7, 0, 7, 7, 0, 0, 0], [0, 0, 0, 0, 0, 7, 0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0, 0], [0, 0, 0, 0, 7, 0, 0, 0, 7, 0, 7, 7, 7, 7, 0, 0, 0, 7, 0, 7], [0, 0, 0, 7, 7, 0, 7, 0, 0, 0, 7, 7, 7, 7, 0, 0, 0, 0, 7, 7], [0, 0, 0, 7, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7, 0, 0, 7, 0, 0, 0], [0, 7, 7, 0, 7, 7, 7, 0, 0, 7, 0, 0, 7, 0, 0, 0, 7, 7, 7, 7], [0, 7, 0, 0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 7, 0, 0, 7, 0, 0, 7], [8, 0, 0, 0, 0, 0, 8, 0, 0, 8, 0, 8, 0, 8, 8, 0, 8, 8, 8, 8], [8, 8, 0, 8, 0, 0, 8, 8, 0, 8, 0, 8, 8, 8, 0, 8, 0, 0, 8, 0], [0, 8, 0, 8, 0, 8, 0, 8, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 8, 0], [0, 8, 8, 8, 8, 8, 0, 0, 0, 0, 8, 0, 8, 0, 0, 8, 8, 0, 8, 0], [8, 8, 8, 0, 0, 0, 8, 0, 8, 8, 8, 8, 0, 0, 8, 0, 0, 8, 8, 8], [0, 0, 8, 8, 0, 0, 8, 8, 0, 8, 8, 8, 0, 8, 0, 8, 8, 0, 0, 8], [0, 8, 0, 8, 8, 8, 0, 0, 8, 0, 0, 8, 0, 8, 0, 8, 8, 8, 8, 0], [8, 8, 0, 8, 8, 0, 8, 8, 8, 0, 8, 0, 8, 0, 0, 0, 8, 0, 0, 0], [0, 8, 0, 8, 8, 8, 0, 8, 8, 0, 8, 8, 8, 8, 0, 0, 0, 0, 8, 8], [0, 8, 8, 0, 0, 0, 8, 8, 8, 0, 0, 8, 8, 0, 8, 0, 0, 0, 0, 0], [8, 8, 0, 0, 8, 8, 0, 8, 8, 8, 0, 8, 0, 0, 8, 8, 0, 8, 8, 8], [8, 0, 0, 8, 8, 8, 0, 8, 8, 0, 0, 8, 0, 0, 8, 0, 0, 0, 0, 8], [8, 8, 8, 0, 0, 8, 8, 8, 8, 0, 8, 0, 8, 8, 0, 8, 8, 8, 0, 8], [0, 0, 8, 8, 0, 0, 0, 8, 8, 0, 0, 8, 8, 8, 8, 0, 8, 8, 0, 0], [0, 8, 8, 8, 0, 0, 0, 8, 8, 0, 8, 8, 0, 8, 0, 0, 8, 0, 0, 8], [0, 8, 8, 0, 8, 8, 8, 0, 8, 8, 0, 0, 0, 0, 0, 0, 8, 0, 8, 8], [0, 0, 0, 8, 8, 8, 0, 8, 8, 8, 8, 0, 0, 8, 0, 8, 8, 8, 8, 0], [0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 8, 0, 8, 0, 0, 8, 8], [0, 0, 0, 0, 0, 0, 8, 0, 0, 8, 8, 0, 0, 0, 0, 8, 8, 0, 0, 8], [0, 0, 8, 8, 0, 0, 8, 0, 8, 8, 0, 8, 0, 0, 0, 0, 8, 0, 8, 8], [0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0], [1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1], [1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0], [0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1], [0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1], [0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0], [0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0], [0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0], [0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1], [0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1], [1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1], [1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1], [1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1], [0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1], [1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1], [0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0], [1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0], [0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1], [0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0], [1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0]] -> [[6, 6, 6, 6, 6, 6, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6], [0, 6, 6, 0, 6, 0, 0, 6, 0, 0, 0, 6, 0, 6, 0, 0, 6, 6, 6, 6], [6, 6, 6, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 6, 0], [0, 0, 0, 6, 0, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0, 6, 0, 0, 6, 6], [0, 0, 6, 6, 0, 6, 0, 6, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 6, 6], [0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 6, 6], [0, 0, 6, 6, 0, 0, 0, 0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6, 0, 0], [0, 6, 6, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 6, 0, 0], [0, 6, 0, 0, 0, 0, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 0, 6, 6, 6], [0, 6, 0, 0, 6, 6, 0, 0, 0, 6, 6, 6, 0, 6, 6, 6, 6, 0, 6, 6], [0, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 0, 0, 6, 0, 6, 0, 0, 6, 6], [6, 6, 6, 6, 6, 0, 6, 6, 6, 0, 0, 0, 6, 0, 6, 6, 0, 0, 0, 0], [6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6, 0, 0, 6, 6, 0], [0, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6], [6, 6, 0, 6, 0, 6, 6, 0, 6, 0, 6, 6, 6, 6, 0, 0, 6, 6, 0, 6], [0, 0, 6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 6, 6, 0, 0, 6, 6], [6, 6, 0, 0, 0, 6, 0, 0, 6, 0, 0, 0, 6, 0, 0, 6, 6, 6, 6, 0], [0, 6, 6, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 0, 6, 0, 6, 6], [0, 6, 6, 0, 0, 6, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0, 0, 6], [6, 0, 6, 0, 0, 0, 6, 0, 0, 6, 0, 6, 0, 6, 0, 0, 6, 6, 6, 6]]\nExample input-output arrays:\n[[7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 0, 7, 0], [0, 7, 7, 0, 0, 7, 7, 0, 0, 7, 0, 7, 0, 0, 7, 7, 7, 0, 0, 7], [0, 0, 7, 0, 0, 0, 7, 0, 7, 7, 7, 7, 0, 7, 0, 7, 7, 0, 0, 0], [0, 7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7, 7, 0, 7, 7, 0, 0, 7, 0], [7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7], [0, 7, 7, 0, 0, 0, 7, 0, 7, 0, 7, 0, 0, 7, 7, 7, 7, 7, 0, 0], [0, 0, 7, 0, 7, 7, 7, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0, 7, 7, 0], [7, 0, 7, 7, 7, 7, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0], [0, 7, 7, 7, 7, 0, 0, 7, 7, 0, 7, 0, 0, 7, 0, 7, 7, 0, 7, 7], [7, 7, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 7, 7, 0, 0, 0, 7, 0], [0, 0, 0, 7, 7, 0, 0, 7, 7, 7, 0, 0, 0, 0, 7, 7, 0, 7, 7, 7], [0, 7, 0, 0, 7, 0, 0, 7, 7, 7, 0, 7, 7, 0, 0, 0, 0, 7, 0, 7], [0, 0, 0, 0, 7, 0, 7, 0, 7, 7, 7, 7, 0, 0, 7, 7, 0, 0, 7, 7], [0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7], [7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 0, 0, 7, 0, 0, 0, 7, 0, 7], [0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 0, 0, 7, 7, 0], [7, 0, 0, 0, 7, 7, 7, 0, 7, 0, 0, 7, 7, 7, 0, 0, 0, 0, 7, 7], [7, 0, 7, 0, 0, 0, 0, 7, 7, 0, 7, 7, 0, 0, 7, 0, 7, 0, 7, 7], [7, 7, 7, 0, 0, 7, 0, 7, 0, 0, 7, 0, 7, 7, 7, 7, 0, 7, 7, 7], [0, 0, 0, 0, 0, 0, 7, 0, 7, 7, 0, 0, 7, 7, 0, 0, 0, 7, 0, 7], [8, 8, 8, 0, 0, 8, 8, 8, 8, 0, 0, 0, 0, 8, 8, 0, 8, 8, 0, 0], [0, 8, 0, 8, 8, 0, 0, 0, 0, 0, 0, 8, 8, 0, 8, 0, 0, 0, 0, 0], [0, 0, 8, 8, 8, 0, 0, 0, 8, 0, 0, 0, 8, 8, 0, 0, 0, 8, 8, 0], [0, 8, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 8, 8], [8, 0, 0, 8, 8, 0, 8, 0, 0, 0, 0, 0, 8, 8, 8, 8, 0, 0, 8, 8], [8, 0, 0, 8, 0, 0, 0, 8, 0, 0, 8, 8, 0, 8, 8, 8, 8, 8, 0, 0], [0, 0, 8, 8, 0, 0, 0, 8, 8, 0, 0, 0, 8, 8, 8, 8, 0, 0, 0, 8], [0, 0, 0, 0, 8, 8, 0, 0, 8, 8, 0, 8, 8, 8, 0, 8, 8, 0, 0, 8], [0, 0, 8, 0, 8, 0, 0, 0, 8, 8, 8, 0, 0, 8, 8, 0, 0, 8, 0, 8], [8, 0, 0, 0, 0, 8, 8, 8, 0, 0, 8, 0, 0, 0, 8, 8, 8, 8, 8, 0], [8, 8, 8, 0, 0, 8, 0, 8, 0, 8, 0, 8, 8, 8, 8, 8, 0, 8, 0, 0], [8, 8, 8, 8, 8, 0, 0, 8, 0, 8, 8, 8, 8, 0, 8, 0, 0, 8, 0, 0], [0, 8, 0, 8, 0, 0, 8, 0, 0, 0, 0, 8, 0, 8, 8, 0, 0, 0, 0, 8], [8, 0, 8, 0, 0, 8, 0, 8, 8, 0, 8, 8, 0, 8, 0, 0, 0, 8, 0, 0], [0, 8, 0, 0, 0, 0, 8, 0, 8, 0, 0, 8, 8, 0, 8, 8, 8, 0, 8, 8], [8, 0, 0, 0, 8, 8, 0, 8, 8, 0, 8, 0, 0, 0, 0, 8, 0, 8, 8, 0], [8, 8, 8, 8, 0, 0, 8, 8, 8, 8, 8, 8, 0, 0, 0, 8, 8, 0, 8, 8], [0, 8, 8, 0, 8, 8, 8, 0, 8, 0, 8, 8, 8, 0, 0, 0, 8, 0, 8, 8], [8, 8, 0, 0, 0, 8, 8, 0, 8, 0, 8, 0, 0, 0, 8, 8, 8, 8, 0, 0], [8, 8, 0, 0, 8, 0, 8, 0, 0, 0, 8, 8, 0, 8, 8, 0, 8, 0, 0, 0], [0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1], [1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0], [1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1], [0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1], [0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0], [0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1], [0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0], [0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1], [1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1], [0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1], [0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1], [0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0], [1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0], [0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1], [0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1], [0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0], [0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1], [1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0], [1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0], [0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1]] -> [[6, 0, 0, 0, 6, 6, 0, 6, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0, 6], [6, 0, 6, 0, 0, 0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 0, 0, 0, 6, 0], [6, 6, 0, 0, 0, 0, 0, 6, 6, 0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6], [0, 6, 0, 6, 6, 0, 6, 6, 6, 6, 0, 6, 0, 6, 6, 0, 6, 0, 6, 6], [6, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 6, 0, 6, 6, 0, 6, 6], [0, 6, 0, 0, 6, 0, 0, 6, 0, 6, 0, 6, 0, 6, 0, 6, 6, 0, 0, 6], [0, 6, 0, 0, 6, 6, 6, 6, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6, 0, 0], [0, 0, 6, 6, 0, 0, 0, 6, 0, 6, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6], [6, 0, 6, 0, 6, 6, 0, 6, 0, 0, 0, 6, 6, 0, 0, 6, 0, 6, 6, 0], [6, 0, 6, 0, 6, 0, 0, 6, 0, 0, 0, 6, 6, 0, 0, 0, 0, 6, 6, 6], [0, 0, 0, 0, 6, 0, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 0, 6, 6, 6], [0, 0, 6, 0, 0, 6, 0, 6, 6, 0, 6, 6, 0, 6, 0, 0, 0, 0, 0, 0], [6, 0, 6, 6, 6, 6, 6, 0, 0, 0, 6, 0, 0, 6, 6, 6, 6, 6, 6, 6], [0, 6, 0, 0, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 0, 6, 0, 0, 0, 6], [0, 6, 0, 6, 0, 0, 0, 6, 6, 0, 6, 0, 6, 0, 0, 6, 6, 0, 0, 0], [0, 0, 6, 0, 0, 0, 6, 0, 0, 0, 0, 6, 0, 0, 6, 6, 0, 0, 6, 0], [6, 6, 6, 0, 0, 6, 0, 6, 6, 6, 6, 6, 0, 6, 0, 0, 6, 6, 0, 0], [6, 6, 6, 0, 0, 6, 0, 0, 6, 6, 0, 6, 0, 6, 6, 0, 0, 0, 6, 6], [0, 6, 0, 6, 6, 0, 6, 6, 6, 6, 6, 0, 0, 6, 0, 6, 6, 0, 0, 0], [0, 6, 6, 6, 0, 6, 0, 6, 0, 6, 0, 6, 0, 6, 0, 6, 6, 0, 6, 6]]\n",
+            "Replicate 3": "You must solve the following causal discovery problem, where the cells in an input array are causal parents of cells in an output array. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. You must predict the causal function(s) that relate parent cells in the input to their children in the output. Be concise: do not explain your reasoning, and start your answer with 'The logical operators are'.\nExample input-output arrays:\n[[7, 7, 7, 7, 7, 7, 0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0], [7, 7, 0, 0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 0, 7, 0, 7, 7, 7, 0], [7, 0, 7, 0, 7, 0, 0, 0, 7, 7, 0, 0, 7, 7, 0, 7, 7, 0, 0, 7], [7, 0, 7, 0, 0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 7, 0, 0], [7, 7, 7, 7, 0, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 7, 0, 0, 7, 0], [0, 7, 0, 7, 7, 7, 0, 0, 7, 0, 7, 7, 0, 0, 0, 0, 7, 7, 7, 0], [0, 7, 0, 0, 0, 7, 7, 7, 0, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 7], [7, 0, 0, 7, 7, 0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 7, 0], [7, 7, 0, 7, 0, 7, 0, 0, 0, 7, 7, 0, 7, 7, 0, 0, 0, 0, 0, 7], [0, 7, 0, 7, 7, 0, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0, 0, 7, 0, 7], [0, 7, 0, 7, 0, 0, 7, 0, 0, 0, 7, 7, 7, 7, 7, 0, 0, 7, 7, 7], [7, 7, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0, 7, 7, 0, 0, 0, 7, 7, 0], [0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 7, 7, 7, 7, 0, 0, 7, 7, 7, 7], [0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 0, 7], [7, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0], [7, 0, 0, 7, 0, 7, 7, 0, 0, 0, 0, 7, 7, 0, 7, 7, 7, 0, 0, 0], [0, 7, 0, 7, 7, 0, 0, 0, 0, 7, 7, 0, 7, 7, 0, 0, 0, 0, 7, 0], [0, 7, 7, 7, 0, 7, 0, 7, 7, 7, 0, 7, 0, 0, 7, 0, 0, 0, 0, 7], [7, 0, 0, 0, 7, 7, 0, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 7, 7], [7, 0, 7, 7, 7, 0, 0, 7, 0, 7, 7, 7, 0, 7, 0, 0, 7, 7, 7, 7], [8, 0, 8, 8, 0, 8, 0, 8, 0, 0, 8, 0, 0, 8, 8, 8, 8, 8, 0, 8], [0, 0, 8, 0, 0, 0, 0, 8, 0, 0, 8, 0, 8, 8, 0, 0, 0, 0, 8, 8], [0, 0, 8, 8, 0, 0, 0, 8, 8, 0, 0, 8, 8, 0, 8, 0, 8, 8, 0, 0], [8, 0, 0, 0, 8, 8, 8, 8, 0, 8, 0, 0, 8, 8, 8, 0, 8, 0, 8, 0], [0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 0, 8, 0], [0, 8, 8, 0, 0, 8, 0, 8, 8, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 8], [8, 8, 8, 0, 8, 0, 0, 8, 8, 8, 0, 8, 0, 0, 8, 8, 8, 8, 0, 0], [0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 8, 8, 0, 8, 0, 0], [0, 8, 0, 8, 8, 0, 8, 8, 8, 0, 8, 0, 8, 8, 0, 0, 8, 8, 8, 8], [8, 8, 0, 0, 0, 0, 0, 8, 0, 8, 8, 0, 0, 8, 0, 0, 0, 0, 0, 8], [0, 0, 8, 8, 0, 0, 0, 0, 8, 0, 8, 8, 0, 8, 0, 8, 0, 0, 0, 0], [0, 8, 8, 8, 0, 0, 8, 8, 8, 8, 8, 0, 8, 0, 8, 8, 8, 8, 8, 0], [8, 0, 0, 8, 8, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 8, 8, 0, 8, 0], [0, 0, 0, 8, 8, 8, 0, 8, 8, 8, 0, 8, 0, 0, 0, 8, 8, 8, 8, 8], [8, 0, 8, 0, 0, 0, 8, 0, 0, 8, 0, 8, 8, 0, 0, 0, 0, 8, 0, 0], [8, 8, 8, 0, 8, 8, 0, 8, 0, 8, 8, 8, 8, 0, 8, 0, 0, 8, 8, 8], [8, 0, 0, 0, 0, 8, 0, 0, 8, 8, 8, 0, 0, 0, 8, 8, 8, 0, 0, 0], [8, 0, 8, 0, 0, 8, 8, 0, 8, 0, 0, 8, 8, 8, 8, 0, 0, 8, 8, 0], [8, 8, 0, 0, 0, 8, 0, 0, 0, 0, 8, 0, 8, 8, 0, 0, 0, 0, 0, 8], [0, 8, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 8, 0, 8, 0, 0, 8, 0, 8], [0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0], [1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0], [1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0], [0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1], [1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0], [1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1], [1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0], [0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1], [1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0], [0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1], [1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1], [0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1], [1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0], [0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0], [1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0], [0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1], [0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1], [0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1], [1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1], [0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0]] -> [[6, 6, 6, 0, 6, 6, 6, 6, 0, 6, 0, 0, 0, 6, 0, 0, 6, 0, 0, 0], [6, 0, 0, 6, 6, 6, 0, 0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 6, 6, 0], [6, 0, 0, 0, 0, 6, 0, 6, 6, 0, 6, 6, 0, 6, 6, 0, 0, 0, 0, 0], [6, 0, 6, 6, 6, 0, 0, 6, 0, 6, 6, 0, 6, 6, 0, 0, 6, 0, 6, 6], [6, 0, 0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6, 0], [6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6], [6, 0, 0, 6, 6, 6, 6, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 0, 0, 0, 0, 6, 0, 0, 6, 6, 6, 0, 0, 6, 0, 0, 6, 6], [6, 0, 6, 6, 0, 0, 6, 6, 6, 0, 6, 0, 6, 0, 0, 0, 6, 0, 0, 6], [0, 0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 0, 6, 0, 0], [6, 6, 0, 6, 0, 0, 0, 0, 0, 6, 0, 6, 6, 0, 6, 0, 0, 6, 0, 6], [0, 6, 6, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 6, 6], [6, 6, 0, 6, 6, 6, 0, 0, 0, 6, 6, 0, 0, 6, 0, 0, 6, 0, 6, 0], [0, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 6, 0, 0, 6, 0, 6], [0, 0, 6, 0, 0, 6, 0, 6, 6, 6, 6, 0, 0, 0, 6, 0, 6, 6, 6, 0], [6, 6, 0, 6, 0, 0, 6, 0, 6, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6], [0, 6, 0, 0, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6, 0, 6, 6, 6, 0, 6], [0, 6, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 6, 0, 6, 0, 6], [0, 0, 0, 6, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0], [0, 6, 0, 0, 6, 6, 0, 6, 0, 0, 0, 6, 0, 0, 0, 6, 6, 6, 0, 6]]\nExample input-output arrays:\n[[0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 7, 7, 7, 0, 0, 0], [0, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7], [7, 0, 0, 7, 0, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 0, 0, 7, 7], [7, 7, 0, 7, 0, 0, 7, 0, 7, 0, 7, 7, 0, 0, 7, 7, 7, 7, 7, 0], [7, 7, 7, 7, 7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 0, 0], [7, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 0, 0, 0, 0, 7, 0, 0], [0, 0, 7, 7, 7, 7, 0, 7, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 7, 7], [0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 7, 7, 7, 0, 7, 7, 0, 0, 0, 7], [0, 0, 7, 0, 0, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 0, 0, 7], [0, 0, 0, 7, 0, 0, 0, 7, 0, 7, 7, 7, 7, 7, 0, 7, 0, 0, 0, 7], [7, 7, 0, 0, 7, 7, 7, 7, 0, 0, 7, 0, 7, 0, 7, 7, 7, 0, 0, 7], [0, 7, 7, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 7, 7], [0, 7, 7, 0, 0, 0, 7, 7, 7, 0, 7, 0, 0, 0, 0, 7, 7, 7, 7, 7], [0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0], [0, 0, 0, 7, 0, 0, 0, 7, 0, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 7, 7, 7, 0, 7, 7, 7, 0, 0, 7, 0, 0, 7, 0, 7, 7], [7, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0], [7, 7, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 7], [7, 0, 0, 7, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7], [7, 0, 7, 0, 7, 0, 7, 7, 0, 7, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 0, 0, 0, 8, 0, 8], [0, 0, 8, 8, 8, 0, 8, 8, 8, 8, 8, 0, 8, 8, 8, 0, 0, 8, 0, 0], [8, 8, 8, 8, 8, 0, 8, 0, 8, 8, 8, 0, 8, 0, 0, 8, 0, 0, 8, 0], [0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 8, 0, 0, 8, 0, 8, 8, 8, 0, 8], [8, 0, 8, 0, 0, 0, 0, 8, 8, 0, 8, 8, 0, 8, 0, 8, 8, 0, 8, 0], [8, 0, 8, 0, 8, 8, 0, 8, 0, 0, 8, 8, 8, 0, 8, 8, 0, 0, 8, 0], [8, 8, 0, 0, 0, 0, 8, 8, 0, 8, 0, 8, 8, 8, 0, 8, 8, 8, 0, 8], [8, 8, 8, 0, 8, 8, 0, 8, 8, 8, 0, 0, 8, 0, 8, 0, 8, 8, 8, 8], [0, 8, 8, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 8, 8, 8, 8, 8, 0], [0, 8, 0, 8, 0, 8, 0, 0, 0, 0, 0, 8, 8, 8, 8, 8, 0, 8, 8, 8], [8, 8, 0, 8, 0, 0, 8, 0, 8, 8, 0, 0, 0, 0, 8, 0, 0, 8, 0, 0], [0, 0, 0, 0, 8, 8, 8, 8, 0, 8, 0, 8, 0, 8, 8, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 8, 0, 8, 8, 0, 8, 0, 8, 8, 8, 0, 0, 8, 0], [0, 0, 0, 0, 0, 8, 0, 8, 8, 8, 8, 8, 0, 8, 0, 0, 8, 0, 8, 8], [0, 8, 8, 8, 8, 8, 0, 8, 8, 8, 8, 8, 8, 8, 0, 0, 0, 8, 0, 8], [0, 8, 0, 0, 8, 8, 8, 0, 8, 8, 8, 8, 0, 8, 8, 0, 8, 8, 0, 0], [8, 8, 8, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 8, 0, 0, 8, 8], [8, 8, 8, 0, 8, 0, 8, 0, 8, 0, 0, 0, 8, 8, 0, 0, 8, 0, 0, 8], [0, 8, 0, 8, 0, 8, 0, 8, 8, 8, 0, 8, 0, 8, 0, 8, 8, 8, 0, 0], [0, 8, 0, 0, 0, 0, 8, 0, 8, 0, 0, 8, 0, 0, 8, 8, 0, 0, 8, 0], [1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0], [0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1], [1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0], [1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1], [0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1], [0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0], [1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0], [0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1], [0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1], [0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1], [1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0], [1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1], [1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1], [0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0], [1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1], [1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0], [1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0], [1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0], [0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0], [0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0]] -> [[6, 0, 0, 0, 6, 0, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0], [0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 6, 0, 0, 0, 0, 0, 6], [0, 0, 0, 0, 6, 0, 6, 0, 6, 0, 6, 6, 0, 0, 0, 6, 6, 0, 6, 0], [6, 6, 0, 6, 6, 0, 6, 0, 6, 0, 6, 0, 0, 6, 0, 6, 0, 0, 6, 6], [6, 6, 0, 0, 6, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 6, 0, 0, 6, 6], [6, 6, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 6, 6, 6, 0, 0], [6, 6, 0, 6, 0, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6], [0, 6, 0, 0, 6, 0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 0, 6, 0], [0, 6, 6, 0, 0, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6, 0, 6, 6, 0, 6], [0, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 0, 6, 0, 6, 6, 0, 0], [0, 6, 0, 0, 6, 0, 6, 6, 0, 0, 6, 0, 0, 6, 0, 6, 0, 6, 0, 0], [6, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 0, 6, 0, 0, 0, 0, 6, 6, 6], [6, 6, 6, 0, 6, 0, 6, 6, 0, 6, 0, 0, 0, 6, 6, 6, 6, 0, 6, 6], [0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 6, 0, 6, 0, 6, 6, 0, 0, 6, 0], [6, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 0, 6, 6], [6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0], [0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 0, 6, 6, 6, 6, 6], [0, 6, 0, 0, 0, 0, 6, 0, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 6, 0], [0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 6, 6, 6, 0, 0, 0, 0, 6, 6, 0]]\nExample input-output arrays:\n[[0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 7, 7, 7, 0, 0, 0], [0, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7], [7, 0, 0, 7, 0, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 0, 0, 7, 7], [7, 7, 0, 7, 0, 0, 7, 0, 7, 0, 7, 7, 0, 0, 7, 7, 7, 7, 7, 0], [7, 7, 7, 7, 7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 0, 0], [7, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 0, 0, 0, 0, 7, 0, 0], [0, 0, 7, 7, 7, 7, 0, 7, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 7, 7], [0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 7, 7, 7, 0, 7, 7, 0, 0, 0, 7], [0, 0, 7, 0, 0, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 0, 0, 7], [0, 0, 0, 7, 0, 0, 0, 7, 0, 7, 7, 7, 7, 7, 0, 7, 0, 0, 0, 7], [7, 7, 0, 0, 7, 7, 7, 7, 0, 0, 7, 0, 7, 0, 7, 7, 7, 0, 0, 7], [0, 7, 7, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 7, 7], [0, 7, 7, 0, 0, 0, 7, 7, 7, 0, 7, 0, 0, 0, 0, 7, 7, 7, 7, 7], [0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0], [0, 0, 0, 7, 0, 0, 0, 7, 0, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 7, 7, 7, 0, 7, 7, 7, 0, 0, 7, 0, 0, 7, 0, 7, 7], [7, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0], [7, 7, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 7], [7, 0, 0, 7, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7], [7, 0, 7, 0, 7, 0, 7, 7, 0, 7, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 0, 0, 0, 8, 0, 8], [0, 0, 8, 8, 8, 0, 8, 8, 8, 8, 8, 0, 8, 8, 8, 0, 0, 8, 0, 0], [8, 8, 8, 8, 8, 0, 8, 0, 8, 8, 8, 0, 8, 0, 0, 8, 0, 0, 8, 0], [0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 8, 0, 0, 8, 0, 8, 8, 8, 0, 8], [8, 0, 8, 0, 0, 0, 0, 8, 8, 0, 8, 8, 0, 8, 0, 8, 8, 0, 8, 0], [8, 0, 8, 0, 8, 8, 0, 8, 0, 0, 8, 8, 8, 0, 8, 8, 0, 0, 8, 0], [8, 8, 0, 0, 0, 0, 8, 8, 0, 8, 0, 8, 8, 8, 0, 8, 8, 8, 0, 8], [8, 8, 8, 0, 8, 8, 0, 8, 8, 8, 0, 0, 8, 0, 8, 0, 8, 8, 8, 8], [0, 8, 8, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 8, 8, 8, 8, 8, 0], [0, 8, 0, 8, 0, 8, 0, 0, 0, 0, 0, 8, 8, 8, 8, 8, 0, 8, 8, 8], [8, 8, 0, 8, 0, 0, 8, 0, 8, 8, 0, 0, 0, 0, 8, 0, 0, 8, 0, 0], [0, 0, 0, 0, 8, 8, 8, 8, 0, 8, 0, 8, 0, 8, 8, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 8, 0, 8, 8, 0, 8, 0, 8, 8, 8, 0, 0, 8, 0], [0, 0, 0, 0, 0, 8, 0, 8, 8, 8, 8, 8, 0, 8, 0, 0, 8, 0, 8, 8], [0, 8, 8, 8, 8, 8, 0, 8, 8, 8, 8, 8, 8, 8, 0, 0, 0, 8, 0, 8], [0, 8, 0, 0, 8, 8, 8, 0, 8, 8, 8, 8, 0, 8, 8, 0, 8, 8, 0, 0], [8, 8, 8, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 8, 0, 0, 8, 8], [8, 8, 8, 0, 8, 0, 8, 0, 8, 0, 0, 0, 8, 8, 0, 0, 8, 0, 0, 8], [0, 8, 0, 8, 0, 8, 0, 8, 8, 8, 0, 8, 0, 8, 0, 8, 8, 8, 0, 0], [0, 8, 0, 0, 0, 0, 8, 0, 8, 0, 0, 8, 0, 0, 8, 8, 0, 0, 8, 0], [1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0], [0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1], [1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0], [1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1], [0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1], [0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0], [1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0], [0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1], [0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1], [0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1], [1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0], [1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1], [1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1], [0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0], [1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1], [1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0], [1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0], [1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0], [0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0], [0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0]] -> [[6, 0, 0, 0, 6, 0, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0], [0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 6, 0, 0, 0, 0, 0, 6], [0, 0, 0, 0, 6, 0, 6, 0, 6, 0, 6, 6, 0, 0, 0, 6, 6, 0, 6, 0], [6, 6, 0, 6, 6, 0, 6, 0, 6, 0, 6, 0, 0, 6, 0, 6, 0, 0, 6, 6], [6, 6, 0, 0, 6, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 6, 0, 0, 6, 6], [6, 6, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 6, 6, 6, 0, 0], [6, 6, 0, 6, 0, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6], [0, 6, 0, 0, 6, 0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 0, 6, 0], [0, 6, 6, 0, 0, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6, 0, 6, 6, 0, 6], [0, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 0, 6, 0, 6, 6, 0, 0], [0, 6, 0, 0, 6, 0, 6, 6, 0, 0, 6, 0, 0, 6, 0, 6, 0, 6, 0, 0], [6, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 0, 6, 0, 0, 0, 0, 6, 6, 6], [6, 6, 6, 0, 6, 0, 6, 6, 0, 6, 0, 0, 0, 6, 6, 6, 6, 0, 6, 6], [0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 6, 0, 6, 0, 6, 6, 0, 0, 6, 0], [6, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 0, 6, 6], [6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0], [0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 0, 6, 6, 6, 6, 6], [0, 6, 0, 0, 0, 0, 6, 0, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 6, 0], [0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 6, 6, 6, 0, 0, 0, 0, 6, 6, 0]]\nExample input-output arrays:\n[[7, 0, 7, 7, 0, 7, 0, 7, 7, 0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 7], [0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 7, 0, 0, 7, 7, 0, 7, 7, 0, 0], [0, 0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 7, 0, 7, 0, 0, 7, 7, 7], [7, 7, 0, 0, 7, 7, 7, 0, 0, 0, 0, 7, 7, 7, 0, 0, 7, 0, 0, 7], [0, 7, 0, 7, 7, 0, 0, 0, 7, 0, 7, 7, 7, 7, 7, 0, 0, 0, 7, 0], [0, 7, 0, 7, 7, 0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0], [0, 7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 7, 0, 7, 0, 0, 7, 0, 0, 7], [7, 7, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0, 7, 7, 0, 7, 7, 0, 0, 0], [0, 7, 7, 7, 7, 7, 0, 0, 7, 7, 7, 7, 7, 0, 7, 0, 0, 0, 0, 7], [0, 7, 7, 0, 7, 0, 0, 0, 7, 7, 7, 7, 0, 0, 7, 0, 0, 0, 0, 7], [0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0], [7, 0, 7, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 7, 7, 7, 0, 0, 7, 0], [7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0], [0, 7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 7, 7, 7, 0, 7, 0, 7], [7, 7, 0, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 7, 0], [7, 7, 7, 0, 0, 0, 0, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0, 7, 0, 7], [7, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 7, 7, 0, 7], [7, 0, 0, 7, 0, 7, 0, 7, 7, 7, 7, 0, 7, 0, 7, 0, 0, 7, 0, 0], [7, 7, 7, 0, 7, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 0, 7, 7, 0, 7], [0, 7, 7, 7, 0, 7, 0, 0, 7, 0, 0, 0, 7, 7, 7, 0, 7, 7, 0, 7], [8, 0, 8, 8, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 8, 0, 0, 8, 0], [8, 0, 0, 0, 0, 8, 8, 8, 0, 8, 0, 0, 0, 8, 8, 8, 8, 8, 8, 8], [8, 0, 8, 0, 8, 0, 8, 8, 8, 0, 8, 8, 0, 0, 0, 8, 8, 0, 0, 8], [8, 8, 0, 0, 8, 0, 8, 8, 0, 0, 8, 8, 0, 8, 0, 8, 8, 0, 0, 0], [8, 0, 0, 8, 0, 8, 8, 8, 0, 0, 0, 8, 0, 0, 8, 0, 0, 8, 0, 0], [0, 0, 8, 8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8], [8, 8, 0, 8, 8, 0, 0, 0, 8, 0, 0, 8, 0, 8, 0, 0, 0, 0, 8, 0], [8, 0, 8, 8, 0, 8, 8, 0, 0, 8, 0, 8, 0, 0, 0, 0, 8, 8, 8, 0], [0, 0, 0, 8, 0, 0, 8, 8, 8, 8, 8, 8, 0, 0, 8, 8, 8, 8, 8, 8], [0, 8, 8, 0, 8, 8, 0, 0, 8, 0, 8, 0, 8, 0, 8, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 8, 0, 8, 8, 0, 0, 8, 0, 8, 8, 8, 8, 8, 0, 8], [0, 8, 8, 8, 0, 0, 8, 8, 8, 8, 8, 0, 8, 0, 0, 8, 0, 8, 8, 8], [8, 0, 0, 0, 8, 8, 0, 8, 0, 8, 8, 8, 0, 0, 8, 0, 8, 8, 8, 8], [8, 0, 8, 8, 8, 0, 8, 0, 8, 0, 0, 0, 8, 0, 0, 0, 0, 8, 8, 8], [0, 8, 0, 8, 0, 8, 0, 8, 8, 0, 8, 8, 8, 8, 0, 0, 0, 0, 0, 8], [0, 8, 0, 0, 8, 8, 8, 8, 0, 0, 8, 8, 0, 0, 0, 0, 8, 8, 0, 8], [8, 8, 0, 8, 8, 8, 8, 0, 0, 8, 0, 0, 0, 0, 0, 0, 8, 0, 8, 8], [0, 8, 0, 8, 0, 8, 0, 8, 8, 8, 0, 0, 8, 8, 0, 8, 8, 8, 8, 8], [0, 8, 0, 0, 8, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8], [8, 0, 8, 8, 0, 0, 8, 8, 8, 0, 0, 0, 0, 8, 8, 0, 0, 0, 8, 0], [0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0], [0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1], [0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0], [0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1], [1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1], [1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1], [0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1], [1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0], [0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0], [0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0], [0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1], [1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1], [1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1], [0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1], [1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1], [0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0], [1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1], [1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0]] -> [[6, 0, 0, 6, 6, 6, 0, 0, 0, 0, 6, 0, 6, 0, 0, 6, 6, 6, 0, 0], [0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 0, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6, 6, 6, 0, 0, 0], [6, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 0, 6, 0, 6, 6, 6, 6, 6, 0], [0, 0, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0, 6, 6], [6, 6, 0, 0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 6, 6], [6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 6, 0, 0, 0, 6, 6, 6, 0, 6, 6], [6, 0, 0, 0, 0, 0, 6, 0, 0, 6, 6, 6, 0, 0, 6, 6, 0, 0, 6, 6], [6, 6, 6, 6, 6, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0, 0, 0, 6], [0, 0, 0, 6, 6, 0, 6, 6, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6], [6, 6, 6, 0, 0, 6, 0, 6, 6, 6, 0, 0, 6, 6, 6, 0, 0, 6, 6, 0], [0, 6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 6, 0, 6, 0, 0, 0, 6, 0, 0], [6, 0, 6, 0, 6, 0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 0, 0, 6, 6], [6, 6, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0], [6, 6, 6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6], [0, 0, 0, 6, 0, 0, 0, 6, 6, 6, 0, 0, 0, 6, 6, 6, 0, 6, 0, 0], [0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 0, 0, 0, 6, 0, 0, 0, 0], [0, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0], [6, 0, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 0, 6, 0, 6, 0], [6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 6, 0, 0, 0]]\n",
+            "Replicate 4": "You must solve the following causal discovery problem, where the cells in an input array are causal parents of cells in an output array. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. You must predict the causal function(s) that relate parent cells in the input to their children in the output. Be concise: do not explain your reasoning, and start your answer with 'The logical operators are'.\nExample input-output arrays:\n[[7, 7, 7, 0, 0, 0, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7, 0, 0, 0, 7], [0, 7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 7, 0, 7, 0, 7, 7], [0, 7, 0, 7, 7, 0, 7, 0, 7, 0, 7, 0, 0, 7, 0, 0, 0, 7, 7, 7], [7, 0, 0, 7, 7, 7, 7, 0, 7, 0, 0, 0, 0, 7, 7, 0, 7, 0, 0, 0], [0, 0, 7, 7, 7, 7, 0, 0, 7, 7, 0, 7, 0, 7, 0, 0, 0, 7, 7, 7], [0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 7, 0, 0, 7, 7], [0, 0, 7, 7, 0, 0, 0, 7, 0, 7, 7, 7, 7, 0, 0, 0, 7, 0, 0, 0], [7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 7, 0, 7, 0], [0, 0, 0, 7, 0, 0, 7, 0, 7, 7, 0, 7, 0, 7, 7, 0, 0, 7, 0, 0], [7, 7, 7, 0, 0, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7, 0, 7, 0, 0, 0], [7, 7, 0, 7, 7, 7, 0, 7, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 0], [7, 7, 0, 0, 0, 7, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 7, 0, 7, 7], [7, 0, 0, 0, 0, 7, 0, 0, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7], [7, 7, 0, 7, 0, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7, 7], [0, 7, 0, 7, 7, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7, 7, 0, 0, 0, 7], [0, 0, 0, 7, 7, 7, 7, 0, 0, 7, 7, 0, 7, 7, 7, 7, 7, 0, 0, 0], [7, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7, 7, 0, 7, 7, 7, 7, 0, 0], [0, 0, 0, 7, 7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7, 7, 7, 7, 0, 7], [0, 0, 0, 7, 7, 0, 0, 7, 0, 0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0], [7, 0, 0, 0, 7, 7, 7, 7, 7, 0, 7, 7, 0, 0, 0, 0, 0, 7, 7, 7], [0, 0, 8, 8, 8, 8, 0, 0, 0, 0, 8, 8, 8, 8, 0, 0, 8, 8, 8, 0], [0, 8, 0, 0, 8, 0, 8, 0, 0, 8, 0, 8, 0, 8, 8, 8, 0, 8, 0, 8], [0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 0, 0, 8, 0, 8, 0, 8, 8, 8, 8], [8, 0, 0, 0, 8, 8, 0, 8, 8, 8, 0, 8, 0, 8, 0, 8, 0, 0, 0, 8], [8, 0, 0, 8, 8, 8, 8, 0, 0, 8, 8, 0, 8, 0, 8, 0, 0, 8, 8, 0], [8, 8, 0, 8, 0, 0, 8, 8, 8, 8, 0, 0, 0, 0, 0, 8, 0, 8, 0, 8], [8, 8, 8, 8, 8, 8, 8, 0, 0, 8, 8, 8, 0, 0, 8, 0, 0, 0, 0, 8], [0, 0, 8, 8, 0, 0, 8, 8, 8, 0, 8, 8, 8, 0, 8, 8, 8, 8, 8, 0], [8, 0, 0, 0, 8, 0, 0, 8, 0, 8, 0, 0, 8, 8, 8, 8, 0, 0, 0, 0], [8, 8, 0, 8, 8, 0, 0, 8, 0, 8, 0, 8, 0, 8, 0, 8, 8, 0, 0, 8], [0, 0, 0, 8, 8, 8, 0, 0, 8, 0, 0, 0, 0, 8, 8, 0, 8, 8, 0, 8], [8, 8, 0, 8, 0, 0, 8, 0, 0, 8, 8, 0, 0, 8, 8, 0, 8, 0, 0, 8], [8, 0, 0, 8, 0, 8, 8, 8, 8, 8, 0, 8, 0, 0, 0, 0, 8, 0, 8, 8], [8, 0, 0, 0, 0, 0, 0, 0, 8, 8, 0, 0, 8, 8, 8, 8, 8, 0, 0, 0], [8, 8, 8, 8, 8, 0, 8, 8, 8, 8, 8, 8, 8, 0, 0, 0, 0, 8, 0, 8], [0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 8, 0, 8, 8], [0, 8, 8, 8, 8, 0, 8, 8, 8, 0, 8, 0, 8, 0, 8, 8, 0, 8, 0, 8], [0, 8, 0, 8, 8, 8, 8, 0, 8, 8, 8, 8, 0, 0, 8, 0, 8, 8, 8, 8], [0, 0, 0, 0, 8, 8, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 0, 0, 8, 0], [0, 0, 0, 0, 8, 0, 0, 0, 8, 0, 8, 8, 8, 8, 0, 8, 0, 0, 0, 0], [0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0], [0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0], [0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0], [1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0], [1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0], [1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1], [1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0], [1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1], [1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0], [1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0], [0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0], [1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1], [0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1], [0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1], [1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0], [0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0], [1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0], [0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0]] -> [[0, 6, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6], [6, 6, 0, 0, 6, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 6], [0, 6, 6, 0, 0, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6, 6, 0, 0, 6, 6], [6, 6, 0, 0, 6, 6, 6, 0, 0, 6, 0, 0, 6, 6, 6, 0, 0, 6, 0, 0], [6, 0, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0], [6, 0, 0, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6, 0, 0, 6, 6, 6, 6, 6], [0, 6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 0, 6, 6, 6, 6, 0, 0, 6, 0], [6, 6, 6, 6, 0, 6, 0, 0, 6, 6, 0, 6, 6, 0, 6, 6, 0, 6, 6, 6], [6, 0, 0, 0, 0, 6, 6, 6, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0], [0, 6, 6, 0, 0, 6, 0, 0, 0, 0, 6, 0, 0, 6, 6, 6, 0, 6, 0, 6], [6, 0, 6, 0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6, 6, 6, 6, 6, 6], [6, 0, 6, 6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 0, 0, 0, 0, 0, 6, 6], [0, 6, 0, 6, 6, 6, 6, 6, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 0, 6], [0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 6, 0, 0, 6, 0], [0, 0, 6, 0, 6, 0, 0, 0, 6, 0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 6], [6, 0, 6, 0, 6, 0, 6, 0, 6, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0], [0, 6, 0, 0, 6, 0, 6, 0, 6, 0, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6], [6, 6, 0, 0, 6, 6, 6, 6, 6, 0, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0], [0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 7, 7, 7, 0, 0, 0], [0, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7], [7, 0, 0, 7, 0, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 0, 0, 7, 7], [7, 7, 0, 7, 0, 0, 7, 0, 7, 0, 7, 7, 0, 0, 7, 7, 7, 7, 7, 0], [7, 7, 7, 7, 7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 0, 0], [7, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 0, 0, 0, 0, 7, 0, 0], [0, 0, 7, 7, 7, 7, 0, 7, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 7, 7], [0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 7, 7, 7, 0, 7, 7, 0, 0, 0, 7], [0, 0, 7, 0, 0, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 0, 0, 7], [0, 0, 0, 7, 0, 0, 0, 7, 0, 7, 7, 7, 7, 7, 0, 7, 0, 0, 0, 7], [7, 7, 0, 0, 7, 7, 7, 7, 0, 0, 7, 0, 7, 0, 7, 7, 7, 0, 0, 7], [0, 7, 7, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 7, 7], [0, 7, 7, 0, 0, 0, 7, 7, 7, 0, 7, 0, 0, 0, 0, 7, 7, 7, 7, 7], [0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0], [0, 0, 0, 7, 0, 0, 0, 7, 0, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 7, 7, 7, 0, 7, 7, 7, 0, 0, 7, 0, 0, 7, 0, 7, 7], [7, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0], [7, 7, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 7], [7, 0, 0, 7, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7], [7, 0, 7, 0, 7, 0, 7, 7, 0, 7, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 0, 0, 0, 8, 0, 8], [0, 0, 8, 8, 8, 0, 8, 8, 8, 8, 8, 0, 8, 8, 8, 0, 0, 8, 0, 0], [8, 8, 8, 8, 8, 0, 8, 0, 8, 8, 8, 0, 8, 0, 0, 8, 0, 0, 8, 0], [0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 8, 0, 0, 8, 0, 8, 8, 8, 0, 8], [8, 0, 8, 0, 0, 0, 0, 8, 8, 0, 8, 8, 0, 8, 0, 8, 8, 0, 8, 0], [8, 0, 8, 0, 8, 8, 0, 8, 0, 0, 8, 8, 8, 0, 8, 8, 0, 0, 8, 0], [8, 8, 0, 0, 0, 0, 8, 8, 0, 8, 0, 8, 8, 8, 0, 8, 8, 8, 0, 8], [8, 8, 8, 0, 8, 8, 0, 8, 8, 8, 0, 0, 8, 0, 8, 0, 8, 8, 8, 8], [0, 8, 8, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 8, 8, 8, 8, 8, 0], [0, 8, 0, 8, 0, 8, 0, 0, 0, 0, 0, 8, 8, 8, 8, 8, 0, 8, 8, 8], [8, 8, 0, 8, 0, 0, 8, 0, 8, 8, 0, 0, 0, 0, 8, 0, 0, 8, 0, 0], [0, 0, 0, 0, 8, 8, 8, 8, 0, 8, 0, 8, 0, 8, 8, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 8, 0, 8, 8, 0, 8, 0, 8, 8, 8, 0, 0, 8, 0], [0, 0, 0, 0, 0, 8, 0, 8, 8, 8, 8, 8, 0, 8, 0, 0, 8, 0, 8, 8], [0, 8, 8, 8, 8, 8, 0, 8, 8, 8, 8, 8, 8, 8, 0, 0, 0, 8, 0, 8], [0, 8, 0, 0, 8, 8, 8, 0, 8, 8, 8, 8, 0, 8, 8, 0, 8, 8, 0, 0], [8, 8, 8, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 8, 0, 0, 8, 8], [8, 8, 8, 0, 8, 0, 8, 0, 8, 0, 0, 0, 8, 8, 0, 0, 8, 0, 0, 8], [0, 8, 0, 8, 0, 8, 0, 8, 8, 8, 0, 8, 0, 8, 0, 8, 8, 8, 0, 0], [0, 8, 0, 0, 0, 0, 8, 0, 8, 0, 0, 8, 0, 0, 8, 8, 0, 0, 8, 0], [1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0], [0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1], [1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0], [1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1], [0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1], [0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0], [1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0], [0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1], [0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1], [0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1], [1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0], [1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1], [1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1], [0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0], [1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1], [1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0], [1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0], [1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0], [0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0], [0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0]] -> [[6, 0, 0, 0, 6, 0, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0], [0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 6, 0, 0, 0, 0, 0, 6], [0, 0, 0, 0, 6, 0, 6, 0, 6, 0, 6, 6, 0, 0, 0, 6, 6, 0, 6, 0], [6, 6, 0, 6, 6, 0, 6, 0, 6, 0, 6, 0, 0, 6, 0, 6, 0, 0, 6, 6], [6, 6, 0, 0, 6, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 6, 0, 0, 6, 6], [6, 6, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 6, 6, 6, 0, 0], [6, 6, 0, 6, 0, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6], [0, 6, 0, 0, 6, 0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 0, 6, 0], [0, 6, 6, 0, 0, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6, 0, 6, 6, 0, 6], [0, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 0, 6, 0, 6, 6, 0, 0], [0, 6, 0, 0, 6, 0, 6, 6, 0, 0, 6, 0, 0, 6, 0, 6, 0, 6, 0, 0], [6, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 0, 6, 0, 0, 0, 0, 6, 6, 6], [6, 6, 6, 0, 6, 0, 6, 6, 0, 6, 0, 0, 0, 6, 6, 6, 6, 0, 6, 6], [0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 6, 0, 6, 0, 6, 6, 0, 0, 6, 0], [6, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 0, 6, 6], [6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0], [0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 0, 6, 6, 6, 6, 6], [0, 6, 0, 0, 0, 0, 6, 0, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 6, 0], [0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 6, 6, 6, 0, 0, 0, 0, 6, 6, 0]]\nExample input-output arrays:\n[[7, 7, 7, 7, 7, 7, 0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0], [7, 7, 0, 0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 0, 7, 0, 7, 7, 7, 0], [7, 0, 7, 0, 7, 0, 0, 0, 7, 7, 0, 0, 7, 7, 0, 7, 7, 0, 0, 7], [7, 0, 7, 0, 0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 7, 0, 0], [7, 7, 7, 7, 0, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 7, 0, 0, 7, 0], [0, 7, 0, 7, 7, 7, 0, 0, 7, 0, 7, 7, 0, 0, 0, 0, 7, 7, 7, 0], [0, 7, 0, 0, 0, 7, 7, 7, 0, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 7], [7, 0, 0, 7, 7, 0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 7, 0], [7, 7, 0, 7, 0, 7, 0, 0, 0, 7, 7, 0, 7, 7, 0, 0, 0, 0, 0, 7], [0, 7, 0, 7, 7, 0, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0, 0, 7, 0, 7], [0, 7, 0, 7, 0, 0, 7, 0, 0, 0, 7, 7, 7, 7, 7, 0, 0, 7, 7, 7], [7, 7, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0, 7, 7, 0, 0, 0, 7, 7, 0], [0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 7, 7, 7, 7, 0, 0, 7, 7, 7, 7], [0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 0, 7], [7, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0], [7, 0, 0, 7, 0, 7, 7, 0, 0, 0, 0, 7, 7, 0, 7, 7, 7, 0, 0, 0], [0, 7, 0, 7, 7, 0, 0, 0, 0, 7, 7, 0, 7, 7, 0, 0, 0, 0, 7, 0], [0, 7, 7, 7, 0, 7, 0, 7, 7, 7, 0, 7, 0, 0, 7, 0, 0, 0, 0, 7], [7, 0, 0, 0, 7, 7, 0, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 7, 7], [7, 0, 7, 7, 7, 0, 0, 7, 0, 7, 7, 7, 0, 7, 0, 0, 7, 7, 7, 7], [8, 0, 8, 8, 0, 8, 0, 8, 0, 0, 8, 0, 0, 8, 8, 8, 8, 8, 0, 8], [0, 0, 8, 0, 0, 0, 0, 8, 0, 0, 8, 0, 8, 8, 0, 0, 0, 0, 8, 8], [0, 0, 8, 8, 0, 0, 0, 8, 8, 0, 0, 8, 8, 0, 8, 0, 8, 8, 0, 0], [8, 0, 0, 0, 8, 8, 8, 8, 0, 8, 0, 0, 8, 8, 8, 0, 8, 0, 8, 0], [0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 0, 8, 0], [0, 8, 8, 0, 0, 8, 0, 8, 8, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 8], [8, 8, 8, 0, 8, 0, 0, 8, 8, 8, 0, 8, 0, 0, 8, 8, 8, 8, 0, 0], [0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 8, 8, 0, 8, 0, 0], [0, 8, 0, 8, 8, 0, 8, 8, 8, 0, 8, 0, 8, 8, 0, 0, 8, 8, 8, 8], [8, 8, 0, 0, 0, 0, 0, 8, 0, 8, 8, 0, 0, 8, 0, 0, 0, 0, 0, 8], [0, 0, 8, 8, 0, 0, 0, 0, 8, 0, 8, 8, 0, 8, 0, 8, 0, 0, 0, 0], [0, 8, 8, 8, 0, 0, 8, 8, 8, 8, 8, 0, 8, 0, 8, 8, 8, 8, 8, 0], [8, 0, 0, 8, 8, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 8, 8, 0, 8, 0], [0, 0, 0, 8, 8, 8, 0, 8, 8, 8, 0, 8, 0, 0, 0, 8, 8, 8, 8, 8], [8, 0, 8, 0, 0, 0, 8, 0, 0, 8, 0, 8, 8, 0, 0, 0, 0, 8, 0, 0], [8, 8, 8, 0, 8, 8, 0, 8, 0, 8, 8, 8, 8, 0, 8, 0, 0, 8, 8, 8], [8, 0, 0, 0, 0, 8, 0, 0, 8, 8, 8, 0, 0, 0, 8, 8, 8, 0, 0, 0], [8, 0, 8, 0, 0, 8, 8, 0, 8, 0, 0, 8, 8, 8, 8, 0, 0, 8, 8, 0], [8, 8, 0, 0, 0, 8, 0, 0, 0, 0, 8, 0, 8, 8, 0, 0, 0, 0, 0, 8], [0, 8, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 8, 0, 8, 0, 0, 8, 0, 8], [0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0], [1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0], [1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0], [0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1], [1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0], [1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1], [1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0], [0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1], [1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0], [0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1], [1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1], [0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1], [1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0], [0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0], [1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0], [0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1], [0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1], [0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1], [1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1], [0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0]] -> [[6, 6, 6, 0, 6, 6, 6, 6, 0, 6, 0, 0, 0, 6, 0, 0, 6, 0, 0, 0], [6, 0, 0, 6, 6, 6, 0, 0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 6, 6, 0], [6, 0, 0, 0, 0, 6, 0, 6, 6, 0, 6, 6, 0, 6, 6, 0, 0, 0, 0, 0], [6, 0, 6, 6, 6, 0, 0, 6, 0, 6, 6, 0, 6, 6, 0, 0, 6, 0, 6, 6], [6, 0, 0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6, 0], [6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6], [6, 0, 0, 6, 6, 6, 6, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 0, 0, 0, 0, 6, 0, 0, 6, 6, 6, 0, 0, 6, 0, 0, 6, 6], [6, 0, 6, 6, 0, 0, 6, 6, 6, 0, 6, 0, 6, 0, 0, 0, 6, 0, 0, 6], [0, 0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 0, 6, 0, 0], [6, 6, 0, 6, 0, 0, 0, 0, 0, 6, 0, 6, 6, 0, 6, 0, 0, 6, 0, 6], [0, 6, 6, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 6, 6], [6, 6, 0, 6, 6, 6, 0, 0, 0, 6, 6, 0, 0, 6, 0, 0, 6, 0, 6, 0], [0, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 6, 0, 0, 6, 0, 6], [0, 0, 6, 0, 0, 6, 0, 6, 6, 6, 6, 0, 0, 0, 6, 0, 6, 6, 6, 0], [6, 6, 0, 6, 0, 0, 6, 0, 6, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6], [0, 6, 0, 0, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6, 0, 6, 6, 6, 0, 6], [0, 6, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 6, 0, 6, 0, 6], [0, 0, 0, 6, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0], [0, 6, 0, 0, 6, 6, 0, 6, 0, 0, 0, 6, 0, 0, 0, 6, 6, 6, 0, 6]]\nExample input-output arrays:\n[[7, 7, 7, 0, 0, 0, 7, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7], [7, 0, 7, 0, 0, 0, 0, 7, 7, 7, 7, 0, 7, 7, 7, 0, 7, 7, 0, 7], [0, 0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 7], [7, 0, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 0, 0, 7, 0, 0], [0, 7, 7, 0, 0, 0, 7, 7, 0, 0, 0, 0, 7, 7, 0, 0, 7, 7, 0, 0], [0, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 0, 7, 0, 0], [0, 7, 0, 0, 0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0, 7, 7, 7], [0, 0, 7, 0, 7, 7, 0, 7, 7, 0, 0, 7, 0, 7, 7, 7, 0, 0, 7, 7], [7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7, 7, 7, 0, 0, 7, 0, 0, 0], [0, 0, 7, 0, 0, 7, 0, 7, 7, 0, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7], [0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 7], [7, 0, 0, 7, 7, 7, 7, 0, 0, 7, 7, 7, 7, 0, 7, 0, 7, 7, 7, 0], [0, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7, 0, 0, 7, 7, 0, 7, 0, 0, 0], [0, 7, 7, 7, 0, 0, 0, 0, 7, 0, 7, 7, 0, 0, 7, 7, 7, 0, 7, 0], [7, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7], [7, 0, 7, 0, 7, 7, 0, 0, 0, 0, 7, 7, 0, 7, 7, 0, 7, 0, 7, 0], [7, 7, 7, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7], [0, 0, 7, 7, 0, 0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 0, 7, 7, 0, 0], [7, 7, 0, 7, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 7, 0, 0, 7, 7, 7], [0, 7, 7, 0, 7, 7, 7, 0, 0, 0, 7, 7, 0, 7, 0, 7, 7, 7, 7, 0], [0, 8, 8, 0, 0, 0, 0, 0, 0, 8, 8, 0, 0, 8, 0, 0, 0, 8, 8, 0], [8, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 8, 8], [0, 8, 0, 0, 0, 8, 8, 0, 8, 8, 8, 8, 8, 8, 8, 8, 0, 8, 0, 8], [0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 0, 8, 0, 8, 8, 0, 8, 8, 0, 0], [0, 8, 0, 8, 8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 8, 8, 8, 0, 0, 8, 0, 0, 0, 8, 0, 0, 8, 0, 0, 8, 8, 0], [0, 0, 8, 8, 8, 8, 0, 8, 0, 0, 0, 0, 8, 8, 0, 8, 0, 0, 0, 0], [8, 0, 8, 0, 0, 0, 0, 8, 0, 0, 8, 8, 8, 0, 0, 0, 8, 8, 8, 0], [0, 8, 8, 0, 0, 0, 0, 8, 8, 8, 0, 0, 8, 8, 8, 8, 8, 0, 8, 8], [8, 0, 0, 8, 8, 8, 0, 8, 0, 8, 0, 8, 8, 8, 8, 0, 0, 0, 0, 0], [8, 0, 8, 8, 0, 8, 0, 0, 0, 8, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0], [8, 8, 0, 8, 0, 8, 0, 0, 8, 8, 0, 0, 8, 8, 0, 0, 8, 0, 8, 8], [0, 0, 0, 0, 0, 0, 8, 0, 8, 8, 8, 0, 8, 0, 8, 8, 8, 8, 8, 8], [8, 0, 0, 0, 0, 8, 0, 0, 0, 0, 8, 8, 0, 8, 0, 8, 8, 0, 0, 0], [0, 8, 0, 0, 0, 8, 8, 0, 0, 0, 8, 0, 8, 8, 8, 0, 0, 0, 8, 0], [0, 0, 0, 0, 0, 8, 0, 8, 8, 8, 8, 8, 8, 0, 0, 0, 0, 0, 8, 8], [0, 8, 8, 8, 0, 8, 8, 0, 8, 8, 8, 8, 0, 0, 8, 0, 0, 8, 8, 0], [0, 0, 8, 0, 8, 0, 8, 8, 0, 8, 8, 8, 0, 8, 0, 8, 8, 0, 0, 0], [0, 8, 0, 0, 8, 8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 8, 8, 8, 8, 8], [8, 8, 8, 0, 8, 8, 0, 8, 8, 0, 8, 0, 8, 0, 0, 8, 0, 8, 8, 0], [0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0], [1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1], [1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1], [1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0], [0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1], [0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0], [0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0], [0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0], [1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1], [0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0], [1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1], [0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1], [0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0], [0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0], [0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1], [1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1], [1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1], [1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1], [1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1]] -> [[0, 0, 6, 0, 6, 6, 0, 0, 6, 0, 0, 0, 6, 0, 6, 6, 6, 0, 6, 0], [0, 6, 6, 6, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 6, 0, 6, 6, 6, 0], [6, 6, 0, 6, 6, 0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 6, 0], [6, 6, 6, 0, 0, 0, 6, 0, 0, 6, 6, 0, 6, 0, 0, 0, 6, 0, 6, 0], [0, 6, 6, 0, 0, 6, 6, 6, 0, 0, 0, 0, 6, 6, 0, 0, 6, 0, 0, 6], [0, 6, 6, 6, 0, 0, 6, 6, 6, 6, 6, 0, 0, 0, 0, 6, 0, 6, 0, 0], [0, 0, 0, 6, 0, 0, 6, 0, 0, 0, 6, 0, 6, 6, 6, 6, 0, 6, 0, 0], [0, 0, 6, 0, 0, 6, 6, 0, 0, 6, 6, 6, 6, 6, 0, 0, 6, 6, 6, 0], [0, 6, 0, 6, 6, 0, 0, 6, 6, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0], [6, 6, 0, 0, 6, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0, 6, 6, 0, 6, 6], [0, 0, 0, 0, 0, 6, 0, 6, 6, 0, 0, 0, 6, 6, 6, 6, 6, 0, 6, 0], [0, 0, 6, 0, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 6, 6], [0, 6, 6, 6, 6, 0, 0, 0, 6, 6, 0, 6, 6, 0, 6, 6, 0, 6, 0, 6], [0, 0, 6, 0, 6, 0, 6, 6, 6, 0, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0], [0, 6, 6, 6, 0, 0, 6, 0, 6, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0], [0, 0, 6, 6, 0, 0, 0, 6, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 6], [6, 0, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6, 6, 0, 0, 6, 6, 0, 6, 6], [6, 0, 6, 6, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6], [6, 0, 0, 0, 6, 6, 6, 0, 6, 0, 6, 0, 6, 0, 6, 6, 6, 0, 6, 0], [6, 6, 6, 6, 0, 6, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 6]]\n"
+        },
+        "L3": {
+            "Replicate 0": "You must solve the following causal discovery problem, where the cells in an input array are causal parents of cells in an output array. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. You must predict the causal function(s) that relate parent cells in the input to their children in the output. Be concise: do not explain your reasoning, and start your answer with 'The logical operators are'.\nExample input-output arrays:\n[[7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 0, 7, 0], [0, 7, 7, 0, 0, 7, 7, 0, 0, 7, 0, 7, 0, 0, 7, 7, 7, 0, 0, 7], [0, 0, 7, 0, 0, 0, 7, 0, 7, 7, 7, 7, 0, 7, 0, 7, 7, 0, 0, 0], [0, 7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7, 7, 0, 7, 7, 0, 0, 7, 0], [7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7], [0, 7, 7, 0, 0, 0, 7, 0, 7, 0, 7, 0, 0, 7, 7, 7, 7, 7, 0, 0], [0, 0, 7, 0, 7, 7, 7, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0, 7, 7, 0], [7, 0, 7, 7, 7, 7, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0], [0, 7, 7, 7, 7, 0, 0, 7, 7, 0, 7, 0, 0, 7, 0, 7, 7, 0, 7, 7], [7, 7, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 7, 7, 0, 0, 0, 7, 0], [0, 0, 0, 7, 7, 0, 0, 7, 7, 7, 0, 0, 0, 0, 7, 7, 0, 7, 7, 7], [0, 7, 0, 0, 7, 0, 0, 7, 7, 7, 0, 7, 7, 0, 0, 0, 0, 7, 0, 7], [0, 0, 0, 0, 7, 0, 7, 0, 7, 7, 7, 7, 0, 0, 7, 7, 0, 0, 7, 7], [0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7], [7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 0, 0, 7, 0, 0, 0, 7, 0, 7], [0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 0, 0, 7, 7, 0], [7, 0, 0, 0, 7, 7, 7, 0, 7, 0, 0, 7, 7, 7, 0, 0, 0, 0, 7, 7], [7, 0, 7, 0, 0, 0, 0, 7, 7, 0, 7, 7, 0, 0, 7, 0, 7, 0, 7, 7], [7, 7, 7, 0, 0, 7, 0, 7, 0, 0, 7, 0, 7, 7, 7, 7, 0, 7, 7, 7], [0, 0, 0, 0, 0, 0, 7, 0, 7, 7, 0, 0, 7, 7, 0, 0, 0, 7, 0, 7], [8, 8, 8, 0, 0, 8, 8, 8, 8, 0, 0, 0, 0, 8, 8, 0, 8, 8, 0, 0], [0, 8, 0, 8, 8, 0, 0, 0, 0, 0, 0, 8, 8, 0, 8, 0, 0, 0, 0, 0], [0, 0, 8, 8, 8, 0, 0, 0, 8, 0, 0, 0, 8, 8, 0, 0, 0, 8, 8, 0], [0, 8, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 8, 8], [8, 0, 0, 8, 8, 0, 8, 0, 0, 0, 0, 0, 8, 8, 8, 8, 0, 0, 8, 8], [8, 0, 0, 8, 0, 0, 0, 8, 0, 0, 8, 8, 0, 8, 8, 8, 8, 8, 0, 0], [0, 0, 8, 8, 0, 0, 0, 8, 8, 0, 0, 0, 8, 8, 8, 8, 0, 0, 0, 8], [0, 0, 0, 0, 8, 8, 0, 0, 8, 8, 0, 8, 8, 8, 0, 8, 8, 0, 0, 8], [0, 0, 8, 0, 8, 0, 0, 0, 8, 8, 8, 0, 0, 8, 8, 0, 0, 8, 0, 8], [8, 0, 0, 0, 0, 8, 8, 8, 0, 0, 8, 0, 0, 0, 8, 8, 8, 8, 8, 0], [8, 8, 8, 0, 0, 8, 0, 8, 0, 8, 0, 8, 8, 8, 8, 8, 0, 8, 0, 0], [8, 8, 8, 8, 8, 0, 0, 8, 0, 8, 8, 8, 8, 0, 8, 0, 0, 8, 0, 0], [0, 8, 0, 8, 0, 0, 8, 0, 0, 0, 0, 8, 0, 8, 8, 0, 0, 0, 0, 8], [8, 0, 8, 0, 0, 8, 0, 8, 8, 0, 8, 8, 0, 8, 0, 0, 0, 8, 0, 0], [0, 8, 0, 0, 0, 0, 8, 0, 8, 0, 0, 8, 8, 0, 8, 8, 8, 0, 8, 8], [8, 0, 0, 0, 8, 8, 0, 8, 8, 0, 8, 0, 0, 0, 0, 8, 0, 8, 8, 0], [8, 8, 8, 8, 0, 0, 8, 8, 8, 8, 8, 8, 0, 0, 0, 8, 8, 0, 8, 8], [0, 8, 8, 0, 8, 8, 8, 0, 8, 0, 8, 8, 8, 0, 0, 0, 8, 0, 8, 8], [8, 8, 0, 0, 0, 8, 8, 0, 8, 0, 8, 0, 0, 0, 8, 8, 8, 8, 0, 0], [8, 8, 0, 0, 8, 0, 8, 0, 0, 0, 8, 8, 0, 8, 8, 0, 8, 0, 0, 0], [0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1], [1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0], [1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1], [0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1], [0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0], [0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1], [0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0], [0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1], [1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1], [0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1], [0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1], [0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0], [1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0], [0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1], [0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1], [0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0], [0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1], [1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0], [1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0], [0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1]] -> [[6, 0, 0, 0, 6, 6, 0, 6, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0, 6], [6, 0, 6, 0, 0, 0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 0, 0, 0, 6, 0], [6, 6, 0, 0, 0, 0, 0, 6, 6, 0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6], [0, 6, 0, 6, 6, 0, 6, 6, 6, 6, 0, 6, 0, 6, 6, 0, 6, 0, 6, 6], [6, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 6, 0, 6, 6, 0, 6, 6], [0, 6, 0, 0, 6, 0, 0, 6, 0, 6, 0, 6, 0, 6, 0, 6, 6, 0, 0, 6], [0, 6, 0, 0, 6, 6, 6, 6, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6, 0, 0], [0, 0, 6, 6, 0, 0, 0, 6, 0, 6, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6], [6, 0, 6, 0, 6, 6, 0, 6, 0, 0, 0, 6, 6, 0, 0, 6, 0, 6, 6, 0], [6, 0, 6, 0, 6, 0, 0, 6, 0, 0, 0, 6, 6, 0, 0, 0, 0, 6, 6, 6], [0, 0, 0, 0, 6, 0, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 0, 6, 6, 6], [0, 0, 6, 0, 0, 6, 0, 6, 6, 0, 6, 6, 0, 6, 0, 0, 0, 0, 0, 0], [6, 0, 6, 6, 6, 6, 6, 0, 0, 0, 6, 0, 0, 6, 6, 6, 6, 6, 6, 6], [0, 6, 0, 0, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 0, 6, 0, 0, 0, 6], [0, 6, 0, 6, 0, 0, 0, 6, 6, 0, 6, 0, 6, 0, 0, 6, 6, 0, 0, 0], [0, 0, 6, 0, 0, 0, 6, 0, 0, 0, 0, 6, 0, 0, 6, 6, 0, 0, 6, 0], [6, 6, 6, 0, 0, 6, 0, 6, 6, 6, 6, 6, 0, 6, 0, 0, 6, 6, 0, 0], [6, 6, 6, 0, 0, 6, 0, 0, 6, 6, 0, 6, 0, 6, 6, 0, 0, 0, 6, 6], [0, 6, 0, 6, 6, 0, 6, 6, 6, 6, 6, 0, 0, 6, 0, 6, 6, 0, 0, 0], [0, 6, 6, 6, 0, 6, 0, 6, 0, 6, 0, 6, 0, 6, 0, 6, 6, 0, 6, 6]]\nCounterfactual: Now imagine that we intervened on the original input by fixing some values.\n[[0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 7, 7, 7, 0, 0, 0], [0, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7], [7, 0, 0, 7, 0, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 0, 0, 7, 7], [7, 7, 0, 7, 0, 0, 7, 0, 7, 0, 7, 7, 0, 0, 7, 7, 7, 7, 7, 0], [7, 7, 7, 7, 7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 0, 0], [7, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 0, 0, 0, 0, 7, 0, 0], [0, 0, 7, 7, 7, 7, 0, 7, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 7, 7], [0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 7, 7, 7, 0, 7, 7, 0, 0, 0, 7], [0, 0, 7, 0, 0, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 0, 0, 7], [0, 0, 0, 7, 0, 0, 0, 7, 0, 7, 7, 7, 7, 7, 0, 7, 0, 0, 0, 7], [7, 7, 0, 0, 7, 7, 7, 7, 0, 0, 7, 0, 7, 0, 7, 7, 7, 0, 0, 7], [0, 7, 7, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 7, 7], [0, 7, 7, 0, 0, 0, 7, 7, 7, 0, 7, 0, 0, 0, 0, 7, 7, 7, 7, 7], [0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0], [0, 0, 0, 7, 0, 0, 0, 7, 0, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 7, 7, 7, 0, 7, 7, 7, 0, 0, 7, 0, 0, 7, 0, 7, 7], [7, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0], [7, 7, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 7], [7, 0, 0, 7, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7], [7, 0, 7, 0, 7, 0, 7, 7, 0, 7, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 0, 0, 0, 8, 0, 8], [0, 0, 8, 8, 8, 0, 8, 8, 8, 8, 8, 0, 8, 8, 8, 0, 0, 8, 0, 0], [8, 8, 8, 8, 8, 0, 8, 0, 8, 8, 8, 0, 8, 0, 0, 8, 0, 0, 8, 0], [0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 8, 0, 0, 8, 0, 8, 8, 8, 0, 8], [8, 0, 8, 0, 0, 0, 0, 8, 8, 0, 8, 8, 0, 8, 0, 8, 8, 0, 8, 0], [8, 0, 8, 0, 8, 8, 0, 8, 0, 0, 8, 8, 8, 0, 8, 8, 0, 0, 8, 0], [8, 8, 0, 0, 0, 0, 8, 8, 0, 8, 0, 8, 8, 8, 0, 8, 8, 8, 0, 8], [8, 8, 8, 0, 8, 8, 0, 8, 8, 8, 0, 0, 8, 0, 8, 0, 8, 8, 8, 8], [0, 8, 8, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 8, 8, 8, 8, 8, 0], [0, 8, 0, 8, 0, 8, 0, 0, 0, 0, 0, 8, 8, 8, 8, 8, 0, 8, 8, 8], [8, 8, 0, 8, 0, 0, 8, 0, 8, 8, 0, 0, 0, 0, 8, 0, 0, 8, 0, 0], [0, 0, 0, 0, 8, 8, 8, 8, 0, 8, 0, 8, 0, 8, 8, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 8, 0, 8, 8, 0, 8, 0, 8, 8, 8, 0, 0, 8, 0], [0, 0, 0, 0, 0, 8, 0, 8, 8, 8, 8, 8, 0, 8, 0, 0, 8, 0, 8, 8], [0, 8, 8, 8, 8, 8, 0, 8, 8, 8, 8, 8, 8, 8, 0, 0, 0, 8, 0, 8], [0, 8, 0, 0, 8, 8, 8, 0, 8, 8, 8, 8, 0, 8, 8, 0, 8, 8, 0, 0], [8, 8, 8, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 8, 0, 0, 8, 8], [8, 8, 8, 0, 8, 0, 8, 0, 8, 0, 0, 0, 8, 8, 0, 0, 8, 0, 0, 8], [0, 8, 0, 8, 0, 8, 0, 8, 8, 8, 0, 8, 0, 8, 0, 8, 8, 8, 0, 0], [0, 8, 0, 0, 0, 0, 8, 0, 8, 0, 0, 8, 0, 0, 8, 8, 0, 0, 8, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 0, 6, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 6, 0, 6, 0, 0, 6, 0, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 6, 6, 6, 0, 0], [6, 0, 6, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 6, 6, 0, 0, 0], [6, 0, 6, 0, 6, 0, 0, 6, 0, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 6], [0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0, 6], [0, 0, 6, 0, 0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 6, 6, 6, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 6, 0, 0, 0, 6], [6, 6, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 6, 0, 0, 6, 0], [0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 0, 0, 0, 0, 6, 0, 6, 0], [0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 0, 6, 0, 0, 6, 0, 0, 0], [6, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0], [6, 6, 6, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 6], [0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 6, 0]]\nExample input-output arrays:\n[[7, 7, 7, 0, 0, 0, 7, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7], [7, 0, 7, 0, 0, 0, 0, 7, 7, 7, 7, 0, 7, 7, 7, 0, 7, 7, 0, 7], [0, 0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 7], [7, 0, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 0, 0, 7, 0, 0], [0, 7, 7, 0, 0, 0, 7, 7, 0, 0, 0, 0, 7, 7, 0, 0, 7, 7, 0, 0], [0, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 0, 7, 0, 0], [0, 7, 0, 0, 0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0, 7, 7, 7], [0, 0, 7, 0, 7, 7, 0, 7, 7, 0, 0, 7, 0, 7, 7, 7, 0, 0, 7, 7], [7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7, 7, 7, 0, 0, 7, 0, 0, 0], [0, 0, 7, 0, 0, 7, 0, 7, 7, 0, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7], [0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 7], [7, 0, 0, 7, 7, 7, 7, 0, 0, 7, 7, 7, 7, 0, 7, 0, 7, 7, 7, 0], [0, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7, 0, 0, 7, 7, 0, 7, 0, 0, 0], [0, 7, 7, 7, 0, 0, 0, 0, 7, 0, 7, 7, 0, 0, 7, 7, 7, 0, 7, 0], [7, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7], [7, 0, 7, 0, 7, 7, 0, 0, 0, 0, 7, 7, 0, 7, 7, 0, 7, 0, 7, 0], [7, 7, 7, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7], [0, 0, 7, 7, 0, 0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 0, 7, 7, 0, 0], [7, 7, 0, 7, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 7, 0, 0, 7, 7, 7], [0, 7, 7, 0, 7, 7, 7, 0, 0, 0, 7, 7, 0, 7, 0, 7, 7, 7, 7, 0], [0, 8, 8, 0, 0, 0, 0, 0, 0, 8, 8, 0, 0, 8, 0, 0, 0, 8, 8, 0], [8, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 8, 8], [0, 8, 0, 0, 0, 8, 8, 0, 8, 8, 8, 8, 8, 8, 8, 8, 0, 8, 0, 8], [0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 0, 8, 0, 8, 8, 0, 8, 8, 0, 0], [0, 8, 0, 8, 8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 8, 8, 8, 0, 0, 8, 0, 0, 0, 8, 0, 0, 8, 0, 0, 8, 8, 0], [0, 0, 8, 8, 8, 8, 0, 8, 0, 0, 0, 0, 8, 8, 0, 8, 0, 0, 0, 0], [8, 0, 8, 0, 0, 0, 0, 8, 0, 0, 8, 8, 8, 0, 0, 0, 8, 8, 8, 0], [0, 8, 8, 0, 0, 0, 0, 8, 8, 8, 0, 0, 8, 8, 8, 8, 8, 0, 8, 8], [8, 0, 0, 8, 8, 8, 0, 8, 0, 8, 0, 8, 8, 8, 8, 0, 0, 0, 0, 0], [8, 0, 8, 8, 0, 8, 0, 0, 0, 8, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0], [8, 8, 0, 8, 0, 8, 0, 0, 8, 8, 0, 0, 8, 8, 0, 0, 8, 0, 8, 8], [0, 0, 0, 0, 0, 0, 8, 0, 8, 8, 8, 0, 8, 0, 8, 8, 8, 8, 8, 8], [8, 0, 0, 0, 0, 8, 0, 0, 0, 0, 8, 8, 0, 8, 0, 8, 8, 0, 0, 0], [0, 8, 0, 0, 0, 8, 8, 0, 0, 0, 8, 0, 8, 8, 8, 0, 0, 0, 8, 0], [0, 0, 0, 0, 0, 8, 0, 8, 8, 8, 8, 8, 8, 0, 0, 0, 0, 0, 8, 8], [0, 8, 8, 8, 0, 8, 8, 0, 8, 8, 8, 8, 0, 0, 8, 0, 0, 8, 8, 0], [0, 0, 8, 0, 8, 0, 8, 8, 0, 8, 8, 8, 0, 8, 0, 8, 8, 0, 0, 0], [0, 8, 0, 0, 8, 8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 8, 8, 8, 8, 8], [8, 8, 8, 0, 8, 8, 0, 8, 8, 0, 8, 0, 8, 0, 0, 8, 0, 8, 8, 0], [0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0], [1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1], [1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1], [1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0], [0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1], [0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0], [0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0], [0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0], [1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1], [0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0], [1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1], [0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1], [0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0], [0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0], [0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1], [1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1], [1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1], [1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1], [1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1]] -> [[0, 0, 6, 0, 6, 6, 0, 0, 6, 0, 0, 0, 6, 0, 6, 6, 6, 0, 6, 0], [0, 6, 6, 6, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 6, 0, 6, 6, 6, 0], [6, 6, 0, 6, 6, 0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 6, 0], [6, 6, 6, 0, 0, 0, 6, 0, 0, 6, 6, 0, 6, 0, 0, 0, 6, 0, 6, 0], [0, 6, 6, 0, 0, 6, 6, 6, 0, 0, 0, 0, 6, 6, 0, 0, 6, 0, 0, 6], [0, 6, 6, 6, 0, 0, 6, 6, 6, 6, 6, 0, 0, 0, 0, 6, 0, 6, 0, 0], [0, 0, 0, 6, 0, 0, 6, 0, 0, 0, 6, 0, 6, 6, 6, 6, 0, 6, 0, 0], [0, 0, 6, 0, 0, 6, 6, 0, 0, 6, 6, 6, 6, 6, 0, 0, 6, 6, 6, 0], [0, 6, 0, 6, 6, 0, 0, 6, 6, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0], [6, 6, 0, 0, 6, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0, 6, 6, 0, 6, 6], [0, 0, 0, 0, 0, 6, 0, 6, 6, 0, 0, 0, 6, 6, 6, 6, 6, 0, 6, 0], [0, 0, 6, 0, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 6, 6], [0, 6, 6, 6, 6, 0, 0, 0, 6, 6, 0, 6, 6, 0, 6, 6, 0, 6, 0, 6], [0, 0, 6, 0, 6, 0, 6, 6, 6, 0, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0], [0, 6, 6, 6, 0, 0, 6, 0, 6, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0], [0, 0, 6, 6, 0, 0, 0, 6, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 6], [6, 0, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6, 6, 0, 0, 6, 6, 0, 6, 6], [6, 0, 6, 6, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6], [6, 0, 0, 0, 6, 6, 6, 0, 6, 0, 6, 0, 6, 0, 6, 6, 6, 0, 6, 0], [6, 6, 6, 6, 0, 6, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 6]]\nCounterfactual: Now imagine that we intervened on the original input by fixing some values.\n[[7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 7, 7, 7, 0, 7, 7], [7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 7, 0, 0, 7, 7, 7, 7, 0, 7, 0], [7, 0, 7, 0, 7, 7, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0, 0, 7, 0, 7], [0, 7, 7, 7, 0, 7, 7, 0, 0, 7, 7, 7, 0, 0, 0, 0, 7, 0, 7, 7], [0, 7, 7, 0, 0, 7, 0, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 0, 0, 0], [7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 7, 7, 0, 0, 7, 0, 7], [7, 0, 7, 0, 0, 0, 7, 0, 0, 7, 0, 7, 7, 0, 0, 0, 0, 0, 0, 7], [0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 0, 0, 7, 7, 7, 0, 0, 0, 7, 0, 7, 0], [7, 0, 7, 7, 7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 0, 7, 0, 7, 7], [7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0], [0, 0, 7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 0, 7, 0, 7, 0, 7], [0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7], [0, 7, 7, 0, 7, 7, 7, 0, 0, 0, 7, 7, 7, 7, 0, 7, 7, 0, 0, 0], [0, 0, 0, 0, 0, 7, 0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0, 0], [0, 0, 0, 0, 7, 0, 0, 0, 7, 0, 7, 7, 7, 7, 0, 0, 0, 7, 0, 7], [0, 0, 0, 7, 7, 0, 7, 0, 0, 0, 7, 7, 7, 7, 0, 0, 0, 0, 7, 7], [0, 0, 0, 7, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7, 0, 0, 7, 0, 0, 0], [0, 7, 7, 0, 7, 7, 7, 0, 0, 7, 0, 0, 7, 0, 0, 0, 7, 7, 7, 7], [0, 7, 0, 0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 7, 0, 0, 7, 0, 0, 7], [8, 0, 0, 0, 0, 0, 8, 0, 0, 8, 0, 8, 0, 8, 8, 0, 8, 8, 8, 8], [8, 8, 0, 8, 0, 0, 8, 8, 0, 8, 0, 8, 8, 8, 0, 8, 0, 0, 8, 0], [0, 8, 0, 8, 0, 8, 0, 8, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 8, 0], [0, 8, 8, 8, 8, 8, 0, 0, 0, 0, 8, 0, 8, 0, 0, 8, 8, 0, 8, 0], [8, 8, 8, 0, 0, 0, 8, 0, 8, 8, 8, 8, 0, 0, 8, 0, 0, 8, 8, 8], [0, 0, 8, 8, 0, 0, 8, 8, 0, 8, 8, 8, 0, 8, 0, 8, 8, 0, 0, 8], [0, 8, 0, 8, 8, 8, 0, 0, 8, 0, 0, 8, 0, 8, 0, 8, 8, 8, 8, 0], [8, 8, 0, 8, 8, 0, 8, 8, 8, 0, 8, 0, 8, 0, 0, 0, 8, 0, 0, 0], [0, 8, 0, 8, 8, 8, 0, 8, 8, 0, 8, 8, 8, 8, 0, 0, 0, 0, 8, 8], [0, 8, 8, 0, 0, 0, 8, 8, 8, 0, 0, 8, 8, 0, 8, 0, 0, 0, 0, 0], [8, 8, 0, 0, 8, 8, 0, 8, 8, 8, 0, 8, 0, 0, 8, 8, 0, 8, 8, 8], [8, 0, 0, 8, 8, 8, 0, 8, 8, 0, 0, 8, 0, 0, 8, 0, 0, 0, 0, 8], [8, 8, 8, 0, 0, 8, 8, 8, 8, 0, 8, 0, 8, 8, 0, 8, 8, 8, 0, 8], [0, 0, 8, 8, 0, 0, 0, 8, 8, 0, 0, 8, 8, 8, 8, 0, 8, 8, 0, 0], [0, 8, 8, 8, 0, 0, 0, 8, 8, 0, 8, 8, 0, 8, 0, 0, 8, 0, 0, 8], [0, 8, 8, 0, 8, 8, 8, 0, 8, 8, 0, 0, 0, 0, 0, 0, 8, 0, 8, 8], [0, 0, 0, 8, 8, 8, 0, 8, 8, 8, 8, 0, 0, 8, 0, 8, 8, 8, 8, 0], [0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 8, 0, 8, 0, 0, 8, 8], [0, 0, 0, 0, 0, 0, 8, 0, 0, 8, 8, 0, 0, 0, 0, 8, 8, 0, 0, 8], [0, 0, 8, 8, 0, 0, 8, 0, 8, 8, 0, 8, 0, 0, 0, 0, 8, 0, 8, 8], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]] -> [[0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 0, 6, 6, 0, 6, 0, 6, 0, 0], [0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 6, 0, 6, 0, 6, 6, 0, 6], [6, 6, 6, 6, 6, 0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6], [6, 0, 0, 0, 6, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 0, 6, 0, 6], [6, 0, 0, 6, 6, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 6, 0, 6, 6, 6, 6, 6, 0], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 0, 6, 0, 0, 0, 6, 0, 6, 6, 0, 0, 0, 6, 6, 6, 6, 6, 0, 6], [6, 6, 0, 6, 6, 6, 0, 0, 0, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6], [0, 6, 6, 6, 6, 6, 6, 0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 0, 0, 6, 0, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 0], [6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0], [6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 6, 6, 0, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 0, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0], [6, 6, 6, 0, 0, 6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 6, 6, 6, 0, 6], [6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0], [6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0]]\n",
+            "Replicate 1": "You must solve the following causal discovery problem, where the cells in an input array are causal parents of cells in an output array. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. You must predict the causal function(s) that relate parent cells in the input to their children in the output. Be concise: do not explain your reasoning, and start your answer with 'The logical operators are'.\nExample input-output arrays:\n[[7, 7, 7, 0, 0, 0, 7, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7], [7, 0, 7, 0, 0, 0, 0, 7, 7, 7, 7, 0, 7, 7, 7, 0, 7, 7, 0, 7], [0, 0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 7], [7, 0, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 0, 0, 7, 0, 0], [0, 7, 7, 0, 0, 0, 7, 7, 0, 0, 0, 0, 7, 7, 0, 0, 7, 7, 0, 0], [0, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 0, 7, 0, 0], [0, 7, 0, 0, 0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0, 7, 7, 7], [0, 0, 7, 0, 7, 7, 0, 7, 7, 0, 0, 7, 0, 7, 7, 7, 0, 0, 7, 7], [7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7, 7, 7, 0, 0, 7, 0, 0, 0], [0, 0, 7, 0, 0, 7, 0, 7, 7, 0, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7], [0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 7], [7, 0, 0, 7, 7, 7, 7, 0, 0, 7, 7, 7, 7, 0, 7, 0, 7, 7, 7, 0], [0, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7, 0, 0, 7, 7, 0, 7, 0, 0, 0], [0, 7, 7, 7, 0, 0, 0, 0, 7, 0, 7, 7, 0, 0, 7, 7, 7, 0, 7, 0], [7, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7], [7, 0, 7, 0, 7, 7, 0, 0, 0, 0, 7, 7, 0, 7, 7, 0, 7, 0, 7, 0], [7, 7, 7, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7], [0, 0, 7, 7, 0, 0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 0, 7, 7, 0, 0], [7, 7, 0, 7, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 7, 0, 0, 7, 7, 7], [0, 7, 7, 0, 7, 7, 7, 0, 0, 0, 7, 7, 0, 7, 0, 7, 7, 7, 7, 0], [0, 8, 8, 0, 0, 0, 0, 0, 0, 8, 8, 0, 0, 8, 0, 0, 0, 8, 8, 0], [8, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 8, 8], [0, 8, 0, 0, 0, 8, 8, 0, 8, 8, 8, 8, 8, 8, 8, 8, 0, 8, 0, 8], [0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 0, 8, 0, 8, 8, 0, 8, 8, 0, 0], [0, 8, 0, 8, 8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 8, 8, 8, 0, 0, 8, 0, 0, 0, 8, 0, 0, 8, 0, 0, 8, 8, 0], [0, 0, 8, 8, 8, 8, 0, 8, 0, 0, 0, 0, 8, 8, 0, 8, 0, 0, 0, 0], [8, 0, 8, 0, 0, 0, 0, 8, 0, 0, 8, 8, 8, 0, 0, 0, 8, 8, 8, 0], [0, 8, 8, 0, 0, 0, 0, 8, 8, 8, 0, 0, 8, 8, 8, 8, 8, 0, 8, 8], [8, 0, 0, 8, 8, 8, 0, 8, 0, 8, 0, 8, 8, 8, 8, 0, 0, 0, 0, 0], [8, 0, 8, 8, 0, 8, 0, 0, 0, 8, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0], [8, 8, 0, 8, 0, 8, 0, 0, 8, 8, 0, 0, 8, 8, 0, 0, 8, 0, 8, 8], [0, 0, 0, 0, 0, 0, 8, 0, 8, 8, 8, 0, 8, 0, 8, 8, 8, 8, 8, 8], [8, 0, 0, 0, 0, 8, 0, 0, 0, 0, 8, 8, 0, 8, 0, 8, 8, 0, 0, 0], [0, 8, 0, 0, 0, 8, 8, 0, 0, 0, 8, 0, 8, 8, 8, 0, 0, 0, 8, 0], [0, 0, 0, 0, 0, 8, 0, 8, 8, 8, 8, 8, 8, 0, 0, 0, 0, 0, 8, 8], [0, 8, 8, 8, 0, 8, 8, 0, 8, 8, 8, 8, 0, 0, 8, 0, 0, 8, 8, 0], [0, 0, 8, 0, 8, 0, 8, 8, 0, 8, 8, 8, 0, 8, 0, 8, 8, 0, 0, 0], [0, 8, 0, 0, 8, 8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 8, 8, 8, 8, 8], [8, 8, 8, 0, 8, 8, 0, 8, 8, 0, 8, 0, 8, 0, 0, 8, 0, 8, 8, 0], [0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0], [1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1], [1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1], [1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0], [0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1], [0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0], [0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0], [0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0], [1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1], [0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0], [1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1], [0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1], [0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0], [0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0], [0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1], [1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1], [1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1], [1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1], [1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1]] -> [[0, 0, 6, 0, 6, 6, 0, 0, 6, 0, 0, 0, 6, 0, 6, 6, 6, 0, 6, 0], [0, 6, 6, 6, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 6, 0, 6, 6, 6, 0], [6, 6, 0, 6, 6, 0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 6, 0], [6, 6, 6, 0, 0, 0, 6, 0, 0, 6, 6, 0, 6, 0, 0, 0, 6, 0, 6, 0], [0, 6, 6, 0, 0, 6, 6, 6, 0, 0, 0, 0, 6, 6, 0, 0, 6, 0, 0, 6], [0, 6, 6, 6, 0, 0, 6, 6, 6, 6, 6, 0, 0, 0, 0, 6, 0, 6, 0, 0], [0, 0, 0, 6, 0, 0, 6, 0, 0, 0, 6, 0, 6, 6, 6, 6, 0, 6, 0, 0], [0, 0, 6, 0, 0, 6, 6, 0, 0, 6, 6, 6, 6, 6, 0, 0, 6, 6, 6, 0], [0, 6, 0, 6, 6, 0, 0, 6, 6, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0], [6, 6, 0, 0, 6, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0, 6, 6, 0, 6, 6], [0, 0, 0, 0, 0, 6, 0, 6, 6, 0, 0, 0, 6, 6, 6, 6, 6, 0, 6, 0], [0, 0, 6, 0, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 6, 6], [0, 6, 6, 6, 6, 0, 0, 0, 6, 6, 0, 6, 6, 0, 6, 6, 0, 6, 0, 6], [0, 0, 6, 0, 6, 0, 6, 6, 6, 0, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0], [0, 6, 6, 6, 0, 0, 6, 0, 6, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0], [0, 0, 6, 6, 0, 0, 0, 6, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 6], [6, 0, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6, 6, 0, 0, 6, 6, 0, 6, 6], [6, 0, 6, 6, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6], [6, 0, 0, 0, 6, 6, 6, 0, 6, 0, 6, 0, 6, 0, 6, 6, 6, 0, 6, 0], [6, 6, 6, 6, 0, 6, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 6]]\nCounterfactual: Now imagine that we intervened on the original input by changing some colors.\n[[0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 7, 7, 7, 0, 0, 0], [0, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7], [7, 0, 0, 7, 0, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 0, 0, 7, 7], [7, 7, 0, 7, 0, 0, 7, 0, 7, 0, 7, 7, 0, 0, 7, 7, 7, 7, 7, 0], [7, 7, 7, 7, 7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 0, 0], [7, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 0, 0, 0, 0, 7, 0, 0], [0, 0, 7, 7, 7, 7, 0, 7, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 7, 7], [0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 7, 7, 7, 0, 7, 7, 0, 0, 0, 7], [0, 0, 7, 0, 0, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 0, 0, 7], [0, 0, 0, 7, 0, 0, 0, 7, 0, 7, 7, 7, 7, 7, 0, 7, 0, 0, 0, 7], [7, 7, 0, 0, 7, 7, 7, 7, 0, 0, 7, 0, 7, 0, 7, 7, 7, 0, 0, 7], [0, 7, 7, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 7, 7], [0, 7, 7, 0, 0, 0, 7, 7, 7, 0, 7, 0, 0, 0, 0, 7, 7, 7, 7, 7], [0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0], [0, 0, 0, 7, 0, 0, 0, 7, 0, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 7, 7, 7, 0, 7, 7, 7, 0, 0, 7, 0, 0, 7, 0, 7, 7], [7, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0], [7, 7, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 7], [7, 0, 0, 7, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7], [7, 0, 7, 0, 7, 0, 7, 7, 0, 7, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2], [0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0], [2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2], [2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0], [2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0], [2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2], [2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2], [0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0], [0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2], [2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0], [0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0], [0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2], [0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2], [0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0], [2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2], [2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2], [0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0], [0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0], [1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0], [0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1], [1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0], [1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1], [0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1], [0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0], [1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0], [0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1], [0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1], [0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1], [1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0], [1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1], [1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1], [0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0], [1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1], [1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0], [1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0], [1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0], [0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0], [0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0]] -> [[6, 0, 0, 0, 6, 0, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0], [0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 6, 0, 0, 0, 0, 0, 6], [0, 0, 0, 0, 6, 0, 6, 0, 6, 0, 6, 6, 0, 0, 0, 6, 6, 0, 6, 0], [6, 6, 0, 6, 6, 0, 6, 0, 6, 0, 6, 0, 0, 6, 0, 6, 0, 0, 6, 6], [6, 6, 0, 0, 6, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 6, 0, 0, 6, 6], [6, 6, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 6, 6, 6, 0, 0], [6, 6, 0, 6, 0, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6], [0, 6, 0, 0, 6, 0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 0, 6, 0], [0, 6, 6, 0, 0, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6, 0, 6, 6, 0, 6], [0, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 0, 6, 0, 6, 6, 0, 0], [0, 6, 0, 0, 6, 0, 6, 6, 0, 0, 6, 0, 0, 6, 0, 6, 0, 6, 0, 0], [6, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 0, 6, 0, 0, 0, 0, 6, 6, 6], [6, 6, 6, 0, 6, 0, 6, 6, 0, 6, 0, 0, 0, 6, 6, 6, 6, 0, 6, 6], [0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 6, 0, 6, 0, 6, 6, 0, 0, 6, 0], [6, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 0, 6, 6], [6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0], [0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 0, 6, 6, 6, 6, 6], [0, 6, 0, 0, 0, 0, 6, 0, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 6, 0], [0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 6, 6, 6, 0, 0, 0, 0, 6, 6, 0]]\nExample input-output arrays:\n[[7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 7, 7, 7, 0, 7, 7], [7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 7, 0, 0, 7, 7, 7, 7, 0, 7, 0], [7, 0, 7, 0, 7, 7, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0, 0, 7, 0, 7], [0, 7, 7, 7, 0, 7, 7, 0, 0, 7, 7, 7, 0, 0, 0, 0, 7, 0, 7, 7], [0, 7, 7, 0, 0, 7, 0, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 0, 0, 0], [7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 7, 7, 0, 0, 7, 0, 7], [7, 0, 7, 0, 0, 0, 7, 0, 0, 7, 0, 7, 7, 0, 0, 0, 0, 0, 0, 7], [0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 0, 0, 7, 7, 7, 0, 0, 0, 7, 0, 7, 0], [7, 0, 7, 7, 7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 0, 7, 0, 7, 7], [7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0], [0, 0, 7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 0, 7, 0, 7, 0, 7], [0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7], [0, 7, 7, 0, 7, 7, 7, 0, 0, 0, 7, 7, 7, 7, 0, 7, 7, 0, 0, 0], [0, 0, 0, 0, 0, 7, 0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0, 0], [0, 0, 0, 0, 7, 0, 0, 0, 7, 0, 7, 7, 7, 7, 0, 0, 0, 7, 0, 7], [0, 0, 0, 7, 7, 0, 7, 0, 0, 0, 7, 7, 7, 7, 0, 0, 0, 0, 7, 7], [0, 0, 0, 7, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7, 0, 0, 7, 0, 0, 0], [0, 7, 7, 0, 7, 7, 7, 0, 0, 7, 0, 0, 7, 0, 0, 0, 7, 7, 7, 7], [0, 7, 0, 0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 7, 0, 0, 7, 0, 0, 7], [8, 0, 0, 0, 0, 0, 8, 0, 0, 8, 0, 8, 0, 8, 8, 0, 8, 8, 8, 8], [8, 8, 0, 8, 0, 0, 8, 8, 0, 8, 0, 8, 8, 8, 0, 8, 0, 0, 8, 0], [0, 8, 0, 8, 0, 8, 0, 8, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 8, 0], [0, 8, 8, 8, 8, 8, 0, 0, 0, 0, 8, 0, 8, 0, 0, 8, 8, 0, 8, 0], [8, 8, 8, 0, 0, 0, 8, 0, 8, 8, 8, 8, 0, 0, 8, 0, 0, 8, 8, 8], [0, 0, 8, 8, 0, 0, 8, 8, 0, 8, 8, 8, 0, 8, 0, 8, 8, 0, 0, 8], [0, 8, 0, 8, 8, 8, 0, 0, 8, 0, 0, 8, 0, 8, 0, 8, 8, 8, 8, 0], [8, 8, 0, 8, 8, 0, 8, 8, 8, 0, 8, 0, 8, 0, 0, 0, 8, 0, 0, 0], [0, 8, 0, 8, 8, 8, 0, 8, 8, 0, 8, 8, 8, 8, 0, 0, 0, 0, 8, 8], [0, 8, 8, 0, 0, 0, 8, 8, 8, 0, 0, 8, 8, 0, 8, 0, 0, 0, 0, 0], [8, 8, 0, 0, 8, 8, 0, 8, 8, 8, 0, 8, 0, 0, 8, 8, 0, 8, 8, 8], [8, 0, 0, 8, 8, 8, 0, 8, 8, 0, 0, 8, 0, 0, 8, 0, 0, 0, 0, 8], [8, 8, 8, 0, 0, 8, 8, 8, 8, 0, 8, 0, 8, 8, 0, 8, 8, 8, 0, 8], [0, 0, 8, 8, 0, 0, 0, 8, 8, 0, 0, 8, 8, 8, 8, 0, 8, 8, 0, 0], [0, 8, 8, 8, 0, 0, 0, 8, 8, 0, 8, 8, 0, 8, 0, 0, 8, 0, 0, 8], [0, 8, 8, 0, 8, 8, 8, 0, 8, 8, 0, 0, 0, 0, 0, 0, 8, 0, 8, 8], [0, 0, 0, 8, 8, 8, 0, 8, 8, 8, 8, 0, 0, 8, 0, 8, 8, 8, 8, 0], [0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 8, 0, 8, 0, 0, 8, 8], [0, 0, 0, 0, 0, 0, 8, 0, 0, 8, 8, 0, 0, 0, 0, 8, 8, 0, 0, 8], [0, 0, 8, 8, 0, 0, 8, 0, 8, 8, 0, 8, 0, 0, 0, 0, 8, 0, 8, 8], [0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0], [1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1], [1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0], [0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1], [0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1], [0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0], [0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0], [0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0], [0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1], [0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1], [1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1], [1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1], [1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1], [0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1], [1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1], [0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0], [1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0], [0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1], [0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0], [1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0]] -> [[6, 6, 6, 6, 6, 6, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6], [0, 6, 6, 0, 6, 0, 0, 6, 0, 0, 0, 6, 0, 6, 0, 0, 6, 6, 6, 6], [6, 6, 6, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 6, 0], [0, 0, 0, 6, 0, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0, 6, 0, 0, 6, 6], [0, 0, 6, 6, 0, 6, 0, 6, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 6, 6], [0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 6, 6], [0, 0, 6, 6, 0, 0, 0, 0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6, 0, 0], [0, 6, 6, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 6, 0, 0], [0, 6, 0, 0, 0, 0, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 0, 6, 6, 6], [0, 6, 0, 0, 6, 6, 0, 0, 0, 6, 6, 6, 0, 6, 6, 6, 6, 0, 6, 6], [0, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 0, 0, 6, 0, 6, 0, 0, 6, 6], [6, 6, 6, 6, 6, 0, 6, 6, 6, 0, 0, 0, 6, 0, 6, 6, 0, 0, 0, 0], [6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6, 0, 0, 6, 6, 0], [0, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6], [6, 6, 0, 6, 0, 6, 6, 0, 6, 0, 6, 6, 6, 6, 0, 0, 6, 6, 0, 6], [0, 0, 6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 6, 6, 0, 0, 6, 6], [6, 6, 0, 0, 0, 6, 0, 0, 6, 0, 0, 0, 6, 0, 0, 6, 6, 6, 6, 0], [0, 6, 6, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 0, 6, 0, 6, 6], [0, 6, 6, 0, 0, 6, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0, 0, 6], [6, 0, 6, 0, 0, 0, 6, 0, 0, 6, 0, 6, 0, 6, 0, 0, 6, 6, 6, 6]]\nCounterfactual: Now imagine that we intervened on the original input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [8, 0, 0, 0, 0, 0, 8, 0, 0, 8, 0, 8, 0, 8, 8, 0, 8, 8, 8, 8], [8, 8, 0, 8, 0, 0, 8, 8, 0, 8, 0, 8, 8, 8, 0, 8, 0, 0, 8, 0], [0, 8, 0, 8, 0, 8, 0, 8, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 8, 0], [0, 8, 8, 8, 8, 8, 0, 0, 0, 0, 8, 0, 8, 0, 0, 8, 8, 0, 8, 0], [8, 8, 8, 0, 0, 0, 8, 0, 8, 8, 8, 8, 0, 0, 8, 0, 0, 8, 8, 8], [0, 0, 8, 8, 0, 0, 8, 8, 0, 8, 8, 8, 0, 8, 0, 8, 8, 0, 0, 8], [0, 8, 0, 8, 8, 8, 0, 0, 8, 0, 0, 8, 0, 8, 0, 8, 8, 8, 8, 0], [8, 8, 0, 8, 8, 0, 8, 8, 8, 0, 8, 0, 8, 0, 0, 0, 8, 0, 0, 0], [0, 8, 0, 8, 8, 8, 0, 8, 8, 0, 8, 8, 8, 8, 0, 0, 0, 0, 8, 8], [0, 8, 8, 0, 0, 0, 8, 8, 8, 0, 0, 8, 8, 0, 8, 0, 0, 0, 0, 0], [8, 8, 0, 0, 8, 8, 0, 8, 8, 8, 0, 8, 0, 0, 8, 8, 0, 8, 8, 8], [8, 0, 0, 8, 8, 8, 0, 8, 8, 0, 0, 8, 0, 0, 8, 0, 0, 0, 0, 8], [8, 8, 8, 0, 0, 8, 8, 8, 8, 0, 8, 0, 8, 8, 0, 8, 8, 8, 0, 8], [0, 0, 8, 8, 0, 0, 0, 8, 8, 0, 0, 8, 8, 8, 8, 0, 8, 8, 0, 0], [0, 8, 8, 8, 0, 0, 0, 8, 8, 0, 8, 8, 0, 8, 0, 0, 8, 0, 0, 8], [0, 8, 8, 0, 8, 8, 8, 0, 8, 8, 0, 0, 0, 0, 0, 0, 8, 0, 8, 8], [0, 0, 0, 8, 8, 8, 0, 8, 8, 8, 8, 0, 0, 8, 0, 8, 8, 8, 8, 0], [0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 8, 0, 8, 0, 0, 8, 8], [0, 0, 0, 0, 0, 0, 8, 0, 0, 8, 8, 0, 0, 0, 0, 8, 8, 0, 0, 8], [0, 0, 8, 8, 0, 0, 8, 0, 8, 8, 0, 8, 0, 0, 0, 0, 8, 0, 8, 8], [0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0], [1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1], [1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0], [0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1], [0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1], [0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0], [0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0], [0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0], [0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1], [0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1], [1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1], [1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1], [1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1], [0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1], [1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1], [0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0], [1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0], [0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1], [0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0], [1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0]] -> [[0, 6, 6, 6, 6, 6, 0, 6, 6, 0, 0, 6, 0, 0, 6, 0, 6, 0, 0, 0], [6, 6, 6, 6, 6, 0, 6, 0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 6, 0, 6], [6, 6, 6, 0, 6, 0, 0, 0, 6, 0, 6, 6, 6, 6, 6, 0, 0, 6, 6, 0], [0, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6], [0, 6, 0, 6, 0, 6, 0, 6, 0, 6, 6, 0, 6, 6, 0, 0, 6, 0, 6, 6], [0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 6, 0, 6, 0, 6, 0, 0, 0, 6, 0], [0, 0, 6, 6, 0, 0, 0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0], [0, 6, 6, 0, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6, 6, 0, 0, 6, 0, 0], [0, 0, 0, 6, 6, 6, 0, 0, 0, 6, 6, 0, 6, 6, 0, 0, 0, 6, 0, 6], [0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6], [6, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 6, 0, 6, 0, 0, 6, 6], [6, 6, 6, 6, 0, 6, 6, 0, 0, 0, 0, 6, 6, 0, 6, 6, 0, 0, 0, 6], [6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 0, 6, 0, 6, 6, 6, 6], [0, 0, 6, 6, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6], [6, 6, 0, 6, 0, 6, 6, 6, 0, 0, 6, 6, 6, 0, 0, 0, 6, 6, 0, 6], [0, 0, 6, 0, 6, 0, 0, 0, 6, 6, 6, 0, 0, 6, 6, 6, 0, 0, 6, 0], [6, 6, 0, 6, 6, 6, 0, 0, 6, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 0], [0, 6, 6, 0, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 6, 0, 6, 0, 6, 6], [0, 6, 6, 0, 0, 6, 6, 6, 0, 6, 6, 0, 0, 6, 0, 0, 6, 0, 0, 0], [6, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 6, 6, 0]]\n",
+            "Replicate 2": "You must solve the following causal discovery problem, where the cells in an input array are causal parents of cells in an output array. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. You must predict the causal function(s) that relate parent cells in the input to their children in the output. Be concise: do not explain your reasoning, and start your answer with 'The logical operators are'.\nExample input-output arrays:\n[[7, 7, 7, 0, 0, 0, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7, 0, 0, 0, 7], [0, 7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 7, 0, 7, 0, 7, 7], [0, 7, 0, 7, 7, 0, 7, 0, 7, 0, 7, 0, 0, 7, 0, 0, 0, 7, 7, 7], [7, 0, 0, 7, 7, 7, 7, 0, 7, 0, 0, 0, 0, 7, 7, 0, 7, 0, 0, 0], [0, 0, 7, 7, 7, 7, 0, 0, 7, 7, 0, 7, 0, 7, 0, 0, 0, 7, 7, 7], [0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 7, 0, 0, 7, 7], [0, 0, 7, 7, 0, 0, 0, 7, 0, 7, 7, 7, 7, 0, 0, 0, 7, 0, 0, 0], [7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 7, 0, 7, 0], [0, 0, 0, 7, 0, 0, 7, 0, 7, 7, 0, 7, 0, 7, 7, 0, 0, 7, 0, 0], [7, 7, 7, 0, 0, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7, 0, 7, 0, 0, 0], [7, 7, 0, 7, 7, 7, 0, 7, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 0], [7, 7, 0, 0, 0, 7, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 7, 0, 7, 7], [7, 0, 0, 0, 0, 7, 0, 0, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7], [7, 7, 0, 7, 0, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7, 7], [0, 7, 0, 7, 7, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7, 7, 0, 0, 0, 7], [0, 0, 0, 7, 7, 7, 7, 0, 0, 7, 7, 0, 7, 7, 7, 7, 7, 0, 0, 0], [7, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7, 7, 0, 7, 7, 7, 7, 0, 0], [0, 0, 0, 7, 7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7, 7, 7, 7, 0, 7], [0, 0, 0, 7, 7, 0, 0, 7, 0, 0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0], [7, 0, 0, 0, 7, 7, 7, 7, 7, 0, 7, 7, 0, 0, 0, 0, 0, 7, 7, 7], [0, 0, 8, 8, 8, 8, 0, 0, 0, 0, 8, 8, 8, 8, 0, 0, 8, 8, 8, 0], [0, 8, 0, 0, 8, 0, 8, 0, 0, 8, 0, 8, 0, 8, 8, 8, 0, 8, 0, 8], [0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 0, 0, 8, 0, 8, 0, 8, 8, 8, 8], [8, 0, 0, 0, 8, 8, 0, 8, 8, 8, 0, 8, 0, 8, 0, 8, 0, 0, 0, 8], [8, 0, 0, 8, 8, 8, 8, 0, 0, 8, 8, 0, 8, 0, 8, 0, 0, 8, 8, 0], [8, 8, 0, 8, 0, 0, 8, 8, 8, 8, 0, 0, 0, 0, 0, 8, 0, 8, 0, 8], [8, 8, 8, 8, 8, 8, 8, 0, 0, 8, 8, 8, 0, 0, 8, 0, 0, 0, 0, 8], [0, 0, 8, 8, 0, 0, 8, 8, 8, 0, 8, 8, 8, 0, 8, 8, 8, 8, 8, 0], [8, 0, 0, 0, 8, 0, 0, 8, 0, 8, 0, 0, 8, 8, 8, 8, 0, 0, 0, 0], [8, 8, 0, 8, 8, 0, 0, 8, 0, 8, 0, 8, 0, 8, 0, 8, 8, 0, 0, 8], [0, 0, 0, 8, 8, 8, 0, 0, 8, 0, 0, 0, 0, 8, 8, 0, 8, 8, 0, 8], [8, 8, 0, 8, 0, 0, 8, 0, 0, 8, 8, 0, 0, 8, 8, 0, 8, 0, 0, 8], [8, 0, 0, 8, 0, 8, 8, 8, 8, 8, 0, 8, 0, 0, 0, 0, 8, 0, 8, 8], [8, 0, 0, 0, 0, 0, 0, 0, 8, 8, 0, 0, 8, 8, 8, 8, 8, 0, 0, 0], [8, 8, 8, 8, 8, 0, 8, 8, 8, 8, 8, 8, 8, 0, 0, 0, 0, 8, 0, 8], [0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 8, 0, 8, 8], [0, 8, 8, 8, 8, 0, 8, 8, 8, 0, 8, 0, 8, 0, 8, 8, 0, 8, 0, 8], [0, 8, 0, 8, 8, 8, 8, 0, 8, 8, 8, 8, 0, 0, 8, 0, 8, 8, 8, 8], [0, 0, 0, 0, 8, 8, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 0, 0, 8, 0], [0, 0, 0, 0, 8, 0, 0, 0, 8, 0, 8, 8, 8, 8, 0, 8, 0, 0, 0, 0], [0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0], [0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0], [0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0], [1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0], [1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0], [1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1], [1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0], [1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1], [1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0], [1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0], [0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0], [1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1], [0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1], [0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1], [1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0], [0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0], [1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0], [0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0]] -> [[0, 6, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6], [6, 6, 0, 0, 6, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 6], [0, 6, 6, 0, 0, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6, 6, 0, 0, 6, 6], [6, 6, 0, 0, 6, 6, 6, 0, 0, 6, 0, 0, 6, 6, 6, 0, 0, 6, 0, 0], [6, 0, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0], [6, 0, 0, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6, 0, 0, 6, 6, 6, 6, 6], [0, 6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 0, 6, 6, 6, 6, 0, 0, 6, 0], [6, 6, 6, 6, 0, 6, 0, 0, 6, 6, 0, 6, 6, 0, 6, 6, 0, 6, 6, 6], [6, 0, 0, 0, 0, 6, 6, 6, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0], [0, 6, 6, 0, 0, 6, 0, 0, 0, 0, 6, 0, 0, 6, 6, 6, 0, 6, 0, 6], [6, 0, 6, 0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6, 6, 6, 6, 6, 6], [6, 0, 6, 6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 0, 0, 0, 0, 0, 6, 6], [0, 6, 0, 6, 6, 6, 6, 6, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 0, 6], [0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 6, 0, 0, 6, 0], [0, 0, 6, 0, 6, 0, 0, 0, 6, 0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 6], [6, 0, 6, 0, 6, 0, 6, 0, 6, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0], [0, 6, 0, 0, 6, 0, 6, 0, 6, 0, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6], [6, 6, 0, 0, 6, 6, 6, 6, 6, 0, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0], [0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the original input by changing some colors.\n[[0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 7, 7, 7, 0, 0, 0], [0, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7], [7, 0, 0, 7, 0, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 0, 0, 7, 7], [7, 7, 0, 7, 0, 0, 7, 0, 7, 0, 7, 7, 0, 0, 7, 7, 7, 7, 7, 0], [7, 7, 7, 7, 7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 0, 0], [7, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 0, 0, 0, 0, 7, 0, 0], [0, 0, 7, 7, 7, 7, 0, 7, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 7, 7], [0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 7, 7, 7, 0, 7, 7, 0, 0, 0, 7], [0, 0, 7, 0, 0, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 0, 0, 7], [0, 0, 0, 7, 0, 0, 0, 7, 0, 7, 7, 7, 7, 7, 0, 7, 0, 0, 0, 7], [7, 7, 0, 0, 7, 7, 7, 7, 0, 0, 7, 0, 7, 0, 7, 7, 7, 0, 0, 7], [0, 7, 7, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 7, 7], [0, 7, 7, 0, 0, 0, 7, 7, 7, 0, 7, 0, 0, 0, 0, 7, 7, 7, 7, 7], [0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0], [0, 0, 0, 7, 0, 0, 0, 7, 0, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 7, 7, 7, 0, 7, 7, 7, 0, 0, 7, 0, 0, 7, 0, 7, 7], [7, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0], [7, 7, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 7], [7, 0, 0, 7, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7], [7, 0, 7, 0, 7, 0, 7, 7, 0, 7, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 4, 0, 4], [0, 0, 4, 4, 4, 0, 4, 4, 4, 4, 4, 0, 4, 4, 4, 0, 0, 4, 0, 0], [4, 4, 4, 4, 4, 0, 4, 0, 4, 4, 4, 0, 4, 0, 0, 4, 0, 0, 4, 0], [0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 4, 0, 0, 4, 0, 4, 4, 4, 0, 4], [4, 0, 4, 0, 0, 0, 0, 4, 4, 0, 4, 4, 0, 4, 0, 4, 4, 0, 4, 0], [4, 0, 4, 0, 4, 4, 0, 4, 0, 0, 4, 4, 4, 0, 4, 4, 0, 0, 4, 0], [4, 4, 0, 0, 0, 0, 4, 4, 0, 4, 0, 4, 4, 4, 0, 4, 4, 4, 0, 4], [4, 4, 4, 0, 4, 4, 0, 4, 4, 4, 0, 0, 4, 0, 4, 0, 4, 4, 4, 4], [0, 4, 4, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 4, 4, 4, 4, 4, 0], [0, 4, 0, 4, 0, 4, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 0, 4, 4, 4], [4, 4, 0, 4, 0, 0, 4, 0, 4, 4, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0], [0, 0, 0, 0, 4, 4, 4, 4, 0, 4, 0, 4, 0, 4, 4, 0, 0, 0, 0, 0], [0, 0, 0, 4, 0, 0, 4, 0, 4, 4, 0, 4, 0, 4, 4, 4, 0, 0, 4, 0], [0, 0, 0, 0, 0, 4, 0, 4, 4, 4, 4, 4, 0, 4, 0, 0, 4, 0, 4, 4], [0, 4, 4, 4, 4, 4, 0, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 4, 0, 4], [0, 4, 0, 0, 4, 4, 4, 0, 4, 4, 4, 4, 0, 4, 4, 0, 4, 4, 0, 0], [4, 4, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 4, 0, 0, 4, 4], [4, 4, 4, 0, 4, 0, 4, 0, 4, 0, 0, 0, 4, 4, 0, 0, 4, 0, 0, 4], [0, 4, 0, 4, 0, 4, 0, 4, 4, 4, 0, 4, 0, 4, 0, 4, 4, 4, 0, 0], [0, 4, 0, 0, 0, 0, 4, 0, 4, 0, 0, 4, 0, 0, 4, 4, 0, 0, 4, 0], [1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0], [0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1], [1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0], [1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1], [0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1], [0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0], [1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0], [0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1], [0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1], [0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1], [1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0], [1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1], [1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1], [0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0], [1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1], [1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0], [1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0], [1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0], [0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0], [0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0]] -> [[6, 0, 0, 0, 6, 0, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0], [0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 6, 0, 0, 0, 0, 0, 6], [0, 0, 0, 0, 6, 0, 6, 0, 6, 0, 6, 6, 0, 0, 0, 6, 6, 0, 6, 0], [6, 6, 0, 6, 6, 0, 6, 0, 6, 0, 6, 0, 0, 6, 0, 6, 0, 0, 6, 6], [6, 6, 0, 0, 6, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 6, 0, 0, 6, 6], [6, 6, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 6, 6, 6, 0, 0], [6, 6, 0, 6, 0, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6], [0, 6, 0, 0, 6, 0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 0, 6, 0], [0, 6, 6, 0, 0, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6, 0, 6, 6, 0, 6], [0, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 0, 6, 0, 6, 6, 0, 0], [0, 6, 0, 0, 6, 0, 6, 6, 0, 0, 6, 0, 0, 6, 0, 6, 0, 6, 0, 0], [6, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 0, 6, 0, 0, 0, 0, 6, 6, 6], [6, 6, 6, 0, 6, 0, 6, 6, 0, 6, 0, 0, 0, 6, 6, 6, 6, 0, 6, 6], [0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 6, 0, 6, 0, 6, 6, 0, 0, 6, 0], [6, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 0, 6, 6], [6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0], [0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 0, 6, 6, 6, 6, 6], [0, 6, 0, 0, 0, 0, 6, 0, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 6, 0], [0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 6, 6, 6, 0, 0, 0, 0, 6, 6, 0]]\nExample input-output arrays:\n[[0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 7, 7, 7, 0, 0, 0], [0, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7], [7, 0, 0, 7, 0, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 0, 0, 7, 7], [7, 7, 0, 7, 0, 0, 7, 0, 7, 0, 7, 7, 0, 0, 7, 7, 7, 7, 7, 0], [7, 7, 7, 7, 7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 0, 0], [7, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 0, 0, 0, 0, 7, 0, 0], [0, 0, 7, 7, 7, 7, 0, 7, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 7, 7], [0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 7, 7, 7, 0, 7, 7, 0, 0, 0, 7], [0, 0, 7, 0, 0, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 0, 0, 7], [0, 0, 0, 7, 0, 0, 0, 7, 0, 7, 7, 7, 7, 7, 0, 7, 0, 0, 0, 7], [7, 7, 0, 0, 7, 7, 7, 7, 0, 0, 7, 0, 7, 0, 7, 7, 7, 0, 0, 7], [0, 7, 7, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 7, 7], [0, 7, 7, 0, 0, 0, 7, 7, 7, 0, 7, 0, 0, 0, 0, 7, 7, 7, 7, 7], [0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0], [0, 0, 0, 7, 0, 0, 0, 7, 0, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 7, 7, 7, 0, 7, 7, 7, 0, 0, 7, 0, 0, 7, 0, 7, 7], [7, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0], [7, 7, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 7], [7, 0, 0, 7, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7], [7, 0, 7, 0, 7, 0, 7, 7, 0, 7, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 0, 0, 0, 8, 0, 8], [0, 0, 8, 8, 8, 0, 8, 8, 8, 8, 8, 0, 8, 8, 8, 0, 0, 8, 0, 0], [8, 8, 8, 8, 8, 0, 8, 0, 8, 8, 8, 0, 8, 0, 0, 8, 0, 0, 8, 0], [0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 8, 0, 0, 8, 0, 8, 8, 8, 0, 8], [8, 0, 8, 0, 0, 0, 0, 8, 8, 0, 8, 8, 0, 8, 0, 8, 8, 0, 8, 0], [8, 0, 8, 0, 8, 8, 0, 8, 0, 0, 8, 8, 8, 0, 8, 8, 0, 0, 8, 0], [8, 8, 0, 0, 0, 0, 8, 8, 0, 8, 0, 8, 8, 8, 0, 8, 8, 8, 0, 8], [8, 8, 8, 0, 8, 8, 0, 8, 8, 8, 0, 0, 8, 0, 8, 0, 8, 8, 8, 8], [0, 8, 8, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 8, 8, 8, 8, 8, 0], [0, 8, 0, 8, 0, 8, 0, 0, 0, 0, 0, 8, 8, 8, 8, 8, 0, 8, 8, 8], [8, 8, 0, 8, 0, 0, 8, 0, 8, 8, 0, 0, 0, 0, 8, 0, 0, 8, 0, 0], [0, 0, 0, 0, 8, 8, 8, 8, 0, 8, 0, 8, 0, 8, 8, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 8, 0, 8, 8, 0, 8, 0, 8, 8, 8, 0, 0, 8, 0], [0, 0, 0, 0, 0, 8, 0, 8, 8, 8, 8, 8, 0, 8, 0, 0, 8, 0, 8, 8], [0, 8, 8, 8, 8, 8, 0, 8, 8, 8, 8, 8, 8, 8, 0, 0, 0, 8, 0, 8], [0, 8, 0, 0, 8, 8, 8, 0, 8, 8, 8, 8, 0, 8, 8, 0, 8, 8, 0, 0], [8, 8, 8, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 8, 0, 0, 8, 8], [8, 8, 8, 0, 8, 0, 8, 0, 8, 0, 0, 0, 8, 8, 0, 0, 8, 0, 0, 8], [0, 8, 0, 8, 0, 8, 0, 8, 8, 8, 0, 8, 0, 8, 0, 8, 8, 8, 0, 0], [0, 8, 0, 0, 0, 0, 8, 0, 8, 0, 0, 8, 0, 0, 8, 8, 0, 0, 8, 0], [1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0], [0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1], [1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0], [1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1], [0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1], [0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0], [1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0], [0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1], [0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1], [0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1], [1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0], [1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1], [1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1], [0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0], [1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1], [1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0], [1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0], [1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0], [0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0], [0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0]] -> [[6, 0, 0, 0, 6, 0, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0], [0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 6, 0, 0, 0, 0, 0, 6], [0, 0, 0, 0, 6, 0, 6, 0, 6, 0, 6, 6, 0, 0, 0, 6, 6, 0, 6, 0], [6, 6, 0, 6, 6, 0, 6, 0, 6, 0, 6, 0, 0, 6, 0, 6, 0, 0, 6, 6], [6, 6, 0, 0, 6, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 6, 0, 0, 6, 6], [6, 6, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 6, 6, 6, 0, 0], [6, 6, 0, 6, 0, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6], [0, 6, 0, 0, 6, 0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 0, 6, 0], [0, 6, 6, 0, 0, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6, 0, 6, 6, 0, 6], [0, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 0, 6, 0, 6, 6, 0, 0], [0, 6, 0, 0, 6, 0, 6, 6, 0, 0, 6, 0, 0, 6, 0, 6, 0, 6, 0, 0], [6, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 0, 6, 0, 0, 0, 0, 6, 6, 6], [6, 6, 6, 0, 6, 0, 6, 6, 0, 6, 0, 0, 0, 6, 6, 6, 6, 0, 6, 6], [0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 6, 0, 6, 0, 6, 6, 0, 0, 6, 0], [6, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 0, 6, 6], [6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0], [0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 0, 6, 6, 6, 6, 6], [0, 6, 0, 0, 0, 0, 6, 0, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 6, 0], [0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 6, 6, 6, 0, 0, 0, 0, 6, 6, 0]]\nCounterfactual: Now imagine that we intervened on the original input by changing the causal function for some elements.\n[[7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 7, 7, 7, 0, 7, 7], [7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 7, 0, 0, 7, 7, 7, 7, 0, 7, 0], [7, 0, 7, 0, 7, 7, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0, 0, 7, 0, 7], [0, 7, 7, 7, 0, 7, 7, 0, 0, 7, 7, 7, 0, 0, 0, 0, 7, 0, 7, 7], [0, 7, 7, 0, 0, 7, 0, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 0, 0, 0], [7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 7, 7, 0, 0, 7, 0, 7], [7, 0, 7, 0, 0, 0, 7, 0, 0, 7, 0, 7, 7, 0, 0, 0, 0, 0, 0, 7], [0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 0, 0, 7, 7, 7, 0, 0, 0, 7, 0, 7, 0], [7, 0, 7, 7, 7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 0, 7, 0, 7, 7], [7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0], [0, 0, 7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 0, 7, 0, 7, 0, 7], [0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7], [0, 7, 7, 0, 7, 7, 7, 0, 0, 0, 7, 7, 7, 7, 0, 7, 7, 0, 0, 0], [0, 0, 0, 0, 0, 7, 0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0, 0], [0, 0, 0, 0, 7, 0, 0, 0, 7, 0, 7, 7, 7, 7, 0, 0, 0, 7, 0, 7], [0, 0, 0, 7, 7, 0, 7, 0, 0, 0, 7, 7, 7, 7, 0, 0, 0, 0, 7, 7], [0, 0, 0, 7, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7, 0, 0, 7, 0, 0, 0], [0, 7, 7, 0, 7, 7, 7, 0, 0, 7, 0, 0, 7, 0, 0, 0, 7, 7, 7, 7], [0, 7, 0, 0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 7, 0, 0, 7, 0, 0, 7], [0, 8, 8, 8, 8, 8, 0, 8, 8, 0, 8, 0, 8, 0, 0, 8, 0, 0, 0, 0], [0, 0, 8, 0, 8, 8, 0, 0, 8, 0, 8, 0, 0, 0, 8, 0, 8, 8, 0, 8], [8, 0, 8, 0, 8, 0, 8, 0, 8, 0, 8, 8, 8, 0, 8, 8, 8, 0, 0, 8], [8, 0, 0, 0, 0, 0, 8, 8, 8, 8, 0, 8, 0, 8, 8, 0, 0, 8, 0, 8], [0, 0, 0, 8, 8, 8, 0, 8, 0, 0, 0, 0, 8, 8, 0, 8, 8, 0, 0, 0], [8, 8, 0, 0, 8, 8, 0, 0, 8, 0, 0, 0, 8, 0, 8, 0, 0, 8, 8, 0], [8, 0, 8, 0, 0, 0, 8, 8, 0, 8, 8, 0, 8, 0, 8, 0, 0, 0, 0, 8], [0, 0, 8, 0, 0, 8, 0, 0, 0, 8, 0, 8, 0, 8, 8, 8, 0, 8, 8, 8], [8, 0, 8, 0, 0, 0, 8, 0, 0, 8, 0, 0, 0, 0, 8, 8, 8, 8, 0, 0], [8, 0, 0, 8, 8, 8, 0, 0, 0, 8, 8, 0, 0, 8, 0, 8, 8, 8, 8, 8], [0, 0, 8, 8, 0, 0, 8, 0, 0, 0, 8, 0, 8, 8, 0, 0, 8, 0, 0, 0], [0, 8, 8, 0, 0, 0, 8, 0, 0, 8, 8, 0, 8, 8, 0, 8, 8, 8, 8, 0], [0, 0, 0, 8, 8, 0, 0, 0, 0, 8, 0, 8, 0, 0, 8, 0, 0, 0, 8, 0], [8, 8, 0, 0, 8, 8, 8, 0, 0, 8, 8, 0, 0, 0, 0, 8, 0, 0, 8, 8], [8, 0, 0, 0, 8, 8, 8, 0, 0, 8, 0, 0, 8, 0, 8, 8, 0, 8, 8, 0], [8, 0, 0, 8, 0, 0, 0, 8, 0, 0, 8, 8, 8, 8, 8, 8, 0, 8, 0, 0], [8, 8, 8, 0, 0, 0, 8, 0, 0, 0, 0, 8, 8, 0, 8, 0, 0, 0, 0, 8], [8, 8, 8, 0, 8, 8, 8, 0, 8, 8, 8, 0, 8, 0, 8, 0, 8, 8, 0, 0], [8, 8, 8, 8, 8, 8, 0, 8, 8, 0, 0, 8, 8, 8, 8, 0, 0, 8, 8, 0], [8, 8, 0, 0, 8, 8, 0, 8, 0, 0, 8, 0, 8, 8, 8, 8, 0, 8, 0, 0], [0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0], [1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1], [1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0], [0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1], [0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1], [0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0], [0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0], [0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0], [0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1], [0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1], [1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1], [1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1], [1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1], [0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1], [1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1], [0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0], [1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0], [0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1], [0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0], [1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0]] -> [[0, 0, 0, 6, 6, 6, 0, 6, 6, 0, 0, 6, 0, 0, 6, 6, 6, 0, 0, 0], [6, 6, 0, 6, 0, 6, 6, 0, 0, 0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 6], [0, 6, 0, 0, 0, 0, 0, 0, 6, 0, 0, 6, 6, 6, 0, 0, 0, 6, 6, 6], [0, 6, 6, 0, 0, 6, 0, 6, 6, 0, 6, 0, 0, 6, 0, 6, 6, 0, 0, 0], [0, 6, 0, 6, 0, 0, 0, 6, 0, 6, 6, 0, 6, 0, 0, 0, 0, 0, 6, 6], [6, 6, 6, 6, 0, 0, 0, 6, 0, 0, 6, 0, 6, 0, 0, 0, 0, 6, 6, 0], [6, 0, 0, 6, 0, 0, 6, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 0, 6], [0, 6, 6, 0, 0, 0, 6, 0, 0, 6, 0, 6, 0, 6, 6, 6, 0, 6, 6, 6], [6, 0, 6, 6, 6, 6, 6, 0, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 0, 6], [6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 6, 0, 0, 0, 0], [6, 0, 6, 0, 6, 0, 6, 6, 6, 0, 6, 6, 6, 6, 0, 6, 6, 0, 6, 6], [6, 6, 0, 6, 0, 6, 0, 0, 0, 6, 0, 6, 6, 0, 6, 0, 0, 6, 0, 6], [6, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 6, 6, 6, 6], [0, 6, 6, 6, 6, 6, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 6, 6, 6, 6], [6, 6, 0, 6, 0, 0, 6, 6, 0, 0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 6], [0, 0, 6, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 0, 6, 6, 0, 6, 6, 0], [6, 6, 0, 6, 6, 6, 6, 0, 6, 0, 6, 6, 0, 6, 0, 6, 6, 6, 0, 6], [0, 6, 6, 0, 0, 6, 0, 6, 6, 0, 6, 0, 0, 0, 6, 0, 0, 0, 6, 6], [0, 0, 0, 0, 6, 0, 6, 6, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 6, 0], [6, 6, 6, 0, 6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 6, 6, 0]]\n",
+            "Replicate 3": "You must solve the following causal discovery problem, where the cells in an input array are causal parents of cells in an output array. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. You must predict the causal function(s) that relate parent cells in the input to their children in the output. Be concise: do not explain your reasoning, and start your answer with 'The logical operators are'.\nExample input-output arrays:\n[[7, 0, 0, 0, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 7, 0, 7, 7, 0, 0], [7, 7, 0, 0, 7, 7, 7, 7, 7, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7], [0, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7, 7, 7], [0, 7, 0, 0, 7, 7, 7, 0, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0], [7, 7, 0, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 7, 0, 0, 7, 0, 0, 0], [0, 0, 7, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 0, 7], [7, 0, 7, 7, 7, 0, 0, 7, 0, 7, 7, 0, 0, 0, 0, 0, 7, 0, 7, 0], [7, 7, 0, 7, 7, 0, 0, 0, 7, 0, 7, 7, 0, 0, 7, 0, 7, 7, 7, 0], [7, 7, 0, 0, 0, 7, 7, 7, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 7, 7], [7, 7, 7, 7, 0, 0, 7, 0, 7, 0, 7, 0, 7, 7, 0, 0, 7, 7, 0, 0], [7, 0, 7, 0, 7, 7, 7, 7, 7, 0, 0, 0, 0, 7, 0, 7, 7, 0, 0, 0], [7, 0, 7, 7, 7, 7, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7], [7, 7, 7, 7, 7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7, 0, 0, 0, 0, 7], [7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0], [0, 7, 0, 7, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 7], [7, 0, 0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7], [0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 7, 7, 0, 0, 7, 7, 0, 0, 0, 0], [0, 7, 7, 0, 7, 7, 0, 0, 7, 0, 7, 0, 7, 7, 7, 0, 0, 0, 7, 0], [7, 7, 0, 7, 7, 7, 0, 7, 0, 0, 7, 7, 0, 7, 7, 0, 7, 0, 0, 7], [0, 7, 0, 0, 0, 0, 7, 0, 7, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 7], [0, 0, 8, 0, 0, 8, 0, 0, 0, 0, 8, 8, 8, 0, 8, 8, 8, 0, 0, 8], [8, 8, 8, 8, 8, 8, 0, 8, 0, 8, 0, 8, 8, 8, 0, 0, 8, 8, 0, 8], [8, 8, 8, 0, 8, 0, 8, 8, 8, 0, 8, 8, 8, 8, 0, 0, 8, 8, 8, 0], [8, 8, 8, 0, 0, 0, 8, 8, 0, 0, 8, 0, 0, 8, 8, 8, 0, 0, 0, 0], [8, 8, 0, 0, 8, 0, 8, 8, 0, 0, 8, 0, 8, 8, 0, 8, 8, 0, 0, 8], [8, 8, 8, 8, 8, 8, 8, 0, 8, 8, 8, 0, 0, 8, 0, 8, 0, 0, 8, 0], [8, 8, 0, 0, 8, 8, 0, 8, 0, 8, 0, 8, 8, 0, 8, 0, 8, 0, 0, 8], [0, 8, 0, 0, 8, 0, 0, 8, 0, 8, 0, 8, 0, 8, 0, 8, 8, 8, 0, 8], [8, 0, 8, 0, 0, 8, 8, 8, 8, 0, 8, 0, 0, 0, 0, 0, 8, 0, 8, 0], [8, 0, 0, 8, 0, 0, 8, 0, 0, 8, 8, 8, 0, 8, 0, 0, 8, 8, 0, 8], [8, 8, 8, 0, 0, 0, 8, 0, 0, 8, 8, 8, 8, 8, 8, 0, 0, 0, 8, 0], [0, 0, 0, 0, 8, 0, 0, 8, 0, 8, 8, 0, 0, 8, 0, 0, 8, 8, 8, 0], [8, 8, 8, 0, 0, 8, 0, 8, 8, 8, 0, 8, 8, 0, 8, 8, 0, 8, 0, 0], [8, 0, 0, 0, 8, 0, 8, 0, 8, 0, 0, 0, 8, 0, 8, 8, 0, 8, 8, 8], [0, 0, 8, 8, 0, 8, 0, 0, 8, 0, 0, 0, 0, 0, 0, 8, 0, 8, 0, 0], [8, 0, 8, 0, 0, 8, 0, 0, 0, 8, 8, 8, 0, 8, 8, 0, 0, 0, 8, 0], [0, 0, 8, 0, 8, 0, 0, 8, 0, 8, 8, 0, 8, 0, 8, 0, 8, 8, 8, 8], [0, 0, 8, 0, 0, 0, 0, 8, 8, 0, 8, 8, 0, 8, 0, 0, 0, 8, 0, 0], [8, 0, 0, 8, 0, 8, 0, 0, 8, 8, 8, 0, 0, 0, 0, 8, 0, 0, 0, 8], [8, 8, 0, 0, 0, 8, 0, 0, 8, 8, 0, 8, 0, 8, 0, 8, 8, 8, 8, 0], [0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0], [0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1], [0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1], [1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1], [0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0], [1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1], [1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0], [0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1], [0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1], [0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1], [0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0], [0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0], [1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0], [1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0], [0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1], [1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0], [1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1], [1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1], [1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1]] -> [[0, 0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 0, 0, 0, 6, 6, 0, 0, 6, 0], [6, 6, 6, 6, 0, 6, 6, 0, 6, 6, 0, 6, 0, 0, 6, 0, 6, 6, 0, 0], [0, 6, 0, 0, 0, 0, 0, 0, 6, 0, 0, 6, 0, 6, 6, 6, 0, 0, 6, 6], [6, 6, 0, 0, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 6, 6, 6, 0, 0, 0], [6, 6, 6, 0, 0, 0, 0, 6, 6, 0, 6, 6, 0, 6, 6, 0, 6, 6, 0, 6], [0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 6, 0], [0, 0, 6, 0, 0, 6, 0, 0, 0, 0, 6, 6, 6, 0, 6, 6, 6, 6, 0, 6], [6, 6, 6, 6, 0, 0, 6, 0, 0, 0, 0, 0, 6, 6, 0, 6, 6, 0, 6, 0], [6, 6, 0, 0, 6, 6, 0, 0, 6, 0, 0, 0, 0, 0, 6, 6, 0, 6, 6, 6], [6, 6, 6, 0, 6, 6, 0, 0, 6, 0, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6], [6, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 6, 6, 6, 6, 6], [0, 0, 0, 6, 0, 0, 6, 6, 6, 6, 0, 0, 6, 6, 6, 0, 6, 0, 6, 0], [6, 0, 0, 0, 6, 0, 0, 0, 0, 6, 6, 0, 6, 0, 6, 6, 0, 6, 6, 0], [0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0], [6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 0, 6, 0, 0, 0, 6, 6, 0], [6, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 6, 0, 0, 6], [6, 0, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 6, 0], [6, 0, 6, 0, 6, 6, 6, 6, 6, 0, 0, 0, 6, 6, 6, 0, 0, 6, 0, 6], [0, 6, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0], [6, 6, 0, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 6]]\nCounterfactual: Now imagine that we intervened on the original input by fixing some values.\n[[0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 7, 7, 7, 0, 0, 0], [0, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7], [7, 0, 0, 7, 0, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 0, 0, 7, 7], [7, 7, 0, 7, 0, 0, 7, 0, 7, 0, 7, 7, 0, 0, 7, 7, 7, 7, 7, 0], [7, 7, 7, 7, 7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 0, 0], [7, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 0, 0, 0, 0, 7, 0, 0], [0, 0, 7, 7, 7, 7, 0, 7, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 7, 7], [0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 7, 7, 7, 0, 7, 7, 0, 0, 0, 7], [0, 0, 7, 0, 0, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 0, 0, 7], [0, 0, 0, 7, 0, 0, 0, 7, 0, 7, 7, 7, 7, 7, 0, 7, 0, 0, 0, 7], [7, 7, 0, 0, 7, 7, 7, 7, 0, 0, 7, 0, 7, 0, 7, 7, 7, 0, 0, 7], [0, 7, 7, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 7, 7], [0, 7, 7, 0, 0, 0, 7, 7, 7, 0, 7, 0, 0, 0, 0, 7, 7, 7, 7, 7], [0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0], [0, 0, 0, 7, 0, 0, 0, 7, 0, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 7, 7, 7, 0, 7, 7, 7, 0, 0, 7, 0, 0, 7, 0, 7, 7], [7, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0], [7, 7, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 7], [7, 0, 0, 7, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7], [7, 0, 7, 0, 7, 0, 7, 7, 0, 7, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 0, 0, 0, 8, 0, 8], [0, 0, 8, 8, 8, 0, 8, 8, 8, 8, 8, 0, 8, 8, 8, 0, 0, 8, 0, 0], [8, 8, 8, 8, 8, 0, 8, 0, 8, 8, 8, 0, 8, 0, 0, 8, 0, 0, 8, 0], [0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 8, 0, 0, 8, 0, 8, 8, 8, 0, 8], [8, 0, 8, 0, 0, 0, 0, 8, 8, 0, 8, 8, 0, 8, 0, 8, 8, 0, 8, 0], [8, 0, 8, 0, 8, 8, 0, 8, 0, 0, 8, 8, 8, 0, 8, 8, 0, 0, 8, 0], [8, 8, 0, 0, 0, 0, 8, 8, 0, 8, 0, 8, 8, 8, 0, 8, 8, 8, 0, 8], [8, 8, 8, 0, 8, 8, 0, 8, 8, 8, 0, 0, 8, 0, 8, 0, 8, 8, 8, 8], [0, 8, 8, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 8, 8, 8, 8, 8, 0], [0, 8, 0, 8, 0, 8, 0, 0, 0, 0, 0, 8, 8, 8, 8, 8, 0, 8, 8, 8], [8, 8, 0, 8, 0, 0, 8, 0, 8, 8, 0, 0, 0, 0, 8, 0, 0, 8, 0, 0], [0, 0, 0, 0, 8, 8, 8, 8, 0, 8, 0, 8, 0, 8, 8, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 8, 0, 8, 8, 0, 8, 0, 8, 8, 8, 0, 0, 8, 0], [0, 0, 0, 0, 0, 8, 0, 8, 8, 8, 8, 8, 0, 8, 0, 0, 8, 0, 8, 8], [0, 8, 8, 8, 8, 8, 0, 8, 8, 8, 8, 8, 8, 8, 0, 0, 0, 8, 0, 8], [0, 8, 0, 0, 8, 8, 8, 0, 8, 8, 8, 8, 0, 8, 8, 0, 8, 8, 0, 0], [8, 8, 8, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 8, 0, 0, 8, 8], [8, 8, 8, 0, 8, 0, 8, 0, 8, 0, 0, 0, 8, 8, 0, 0, 8, 0, 0, 8], [0, 8, 0, 8, 0, 8, 0, 8, 8, 8, 0, 8, 0, 8, 0, 8, 8, 8, 0, 0], [0, 8, 0, 0, 0, 0, 8, 0, 8, 0, 0, 8, 0, 0, 8, 8, 0, 0, 8, 0], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]] -> [[6, 6, 0, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 0, 6, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [0, 6, 6, 0, 6, 6, 0, 6, 6, 0, 0, 6, 0, 6, 6, 0, 6, 6, 0, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6, 6, 6, 0, 0, 0, 6, 6], [0, 6, 0, 6, 6, 6, 6, 6, 0, 6, 0, 6, 6, 0, 6, 0, 0, 6, 6, 6], [0, 6, 0, 6, 0, 6, 6, 0, 6, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6, 6, 0], [6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 0, 6, 6, 6, 6, 0], [6, 6, 0, 6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6, 6, 6], [6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 6, 0, 6, 6, 6, 0], [0, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6], [6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 6], [6, 6, 6, 6, 6, 0, 6, 0, 6, 6, 0, 6, 6, 6, 6, 6, 0, 6, 0, 6], [6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6], [6, 0, 6, 6, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 0, 6, 6, 6], [0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6], [0, 0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 0], [6, 6, 6, 0, 6, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6, 6, 0, 6]]\nExample input-output arrays:\n[[7, 7, 7, 7, 7, 7, 0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0], [7, 7, 0, 0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 0, 7, 0, 7, 7, 7, 0], [7, 0, 7, 0, 7, 0, 0, 0, 7, 7, 0, 0, 7, 7, 0, 7, 7, 0, 0, 7], [7, 0, 7, 0, 0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 7, 0, 0], [7, 7, 7, 7, 0, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 7, 0, 0, 7, 0], [0, 7, 0, 7, 7, 7, 0, 0, 7, 0, 7, 7, 0, 0, 0, 0, 7, 7, 7, 0], [0, 7, 0, 0, 0, 7, 7, 7, 0, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 7], [7, 0, 0, 7, 7, 0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 7, 0], [7, 7, 0, 7, 0, 7, 0, 0, 0, 7, 7, 0, 7, 7, 0, 0, 0, 0, 0, 7], [0, 7, 0, 7, 7, 0, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0, 0, 7, 0, 7], [0, 7, 0, 7, 0, 0, 7, 0, 0, 0, 7, 7, 7, 7, 7, 0, 0, 7, 7, 7], [7, 7, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0, 7, 7, 0, 0, 0, 7, 7, 0], [0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 7, 7, 7, 7, 0, 0, 7, 7, 7, 7], [0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 0, 7], [7, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0], [7, 0, 0, 7, 0, 7, 7, 0, 0, 0, 0, 7, 7, 0, 7, 7, 7, 0, 0, 0], [0, 7, 0, 7, 7, 0, 0, 0, 0, 7, 7, 0, 7, 7, 0, 0, 0, 0, 7, 0], [0, 7, 7, 7, 0, 7, 0, 7, 7, 7, 0, 7, 0, 0, 7, 0, 0, 0, 0, 7], [7, 0, 0, 0, 7, 7, 0, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 7, 7], [7, 0, 7, 7, 7, 0, 0, 7, 0, 7, 7, 7, 0, 7, 0, 0, 7, 7, 7, 7], [8, 0, 8, 8, 0, 8, 0, 8, 0, 0, 8, 0, 0, 8, 8, 8, 8, 8, 0, 8], [0, 0, 8, 0, 0, 0, 0, 8, 0, 0, 8, 0, 8, 8, 0, 0, 0, 0, 8, 8], [0, 0, 8, 8, 0, 0, 0, 8, 8, 0, 0, 8, 8, 0, 8, 0, 8, 8, 0, 0], [8, 0, 0, 0, 8, 8, 8, 8, 0, 8, 0, 0, 8, 8, 8, 0, 8, 0, 8, 0], [0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 0, 8, 0], [0, 8, 8, 0, 0, 8, 0, 8, 8, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 8], [8, 8, 8, 0, 8, 0, 0, 8, 8, 8, 0, 8, 0, 0, 8, 8, 8, 8, 0, 0], [0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 8, 8, 0, 8, 0, 0], [0, 8, 0, 8, 8, 0, 8, 8, 8, 0, 8, 0, 8, 8, 0, 0, 8, 8, 8, 8], [8, 8, 0, 0, 0, 0, 0, 8, 0, 8, 8, 0, 0, 8, 0, 0, 0, 0, 0, 8], [0, 0, 8, 8, 0, 0, 0, 0, 8, 0, 8, 8, 0, 8, 0, 8, 0, 0, 0, 0], [0, 8, 8, 8, 0, 0, 8, 8, 8, 8, 8, 0, 8, 0, 8, 8, 8, 8, 8, 0], [8, 0, 0, 8, 8, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 8, 8, 0, 8, 0], [0, 0, 0, 8, 8, 8, 0, 8, 8, 8, 0, 8, 0, 0, 0, 8, 8, 8, 8, 8], [8, 0, 8, 0, 0, 0, 8, 0, 0, 8, 0, 8, 8, 0, 0, 0, 0, 8, 0, 0], [8, 8, 8, 0, 8, 8, 0, 8, 0, 8, 8, 8, 8, 0, 8, 0, 0, 8, 8, 8], [8, 0, 0, 0, 0, 8, 0, 0, 8, 8, 8, 0, 0, 0, 8, 8, 8, 0, 0, 0], [8, 0, 8, 0, 0, 8, 8, 0, 8, 0, 0, 8, 8, 8, 8, 0, 0, 8, 8, 0], [8, 8, 0, 0, 0, 8, 0, 0, 0, 0, 8, 0, 8, 8, 0, 0, 0, 0, 0, 8], [0, 8, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 8, 0, 8, 0, 0, 8, 0, 8], [0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0], [1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0], [1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0], [0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1], [1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0], [1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1], [1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0], [0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1], [1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0], [0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1], [1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1], [0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1], [1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0], [0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0], [1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0], [0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1], [0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1], [0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1], [1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1], [0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0]] -> [[6, 6, 6, 0, 6, 6, 6, 6, 0, 6, 0, 0, 0, 6, 0, 0, 6, 0, 0, 0], [6, 0, 0, 6, 6, 6, 0, 0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 6, 6, 0], [6, 0, 0, 0, 0, 6, 0, 6, 6, 0, 6, 6, 0, 6, 6, 0, 0, 0, 0, 0], [6, 0, 6, 6, 6, 0, 0, 6, 0, 6, 6, 0, 6, 6, 0, 0, 6, 0, 6, 6], [6, 0, 0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6, 0], [6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6], [6, 0, 0, 6, 6, 6, 6, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 0, 0, 0, 0, 6, 0, 0, 6, 6, 6, 0, 0, 6, 0, 0, 6, 6], [6, 0, 6, 6, 0, 0, 6, 6, 6, 0, 6, 0, 6, 0, 0, 0, 6, 0, 0, 6], [0, 0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 0, 6, 0, 0], [6, 6, 0, 6, 0, 0, 0, 0, 0, 6, 0, 6, 6, 0, 6, 0, 0, 6, 0, 6], [0, 6, 6, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 6, 6], [6, 6, 0, 6, 6, 6, 0, 0, 0, 6, 6, 0, 0, 6, 0, 0, 6, 0, 6, 0], [0, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 6, 0, 0, 6, 0, 6], [0, 0, 6, 0, 0, 6, 0, 6, 6, 6, 6, 0, 0, 0, 6, 0, 6, 6, 6, 0], [6, 6, 0, 6, 0, 0, 6, 0, 6, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6], [0, 6, 0, 0, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6, 0, 6, 6, 6, 0, 6], [0, 6, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 6, 0, 6, 0, 6], [0, 0, 0, 6, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0], [0, 6, 0, 0, 6, 6, 0, 6, 0, 0, 0, 6, 0, 0, 0, 6, 6, 6, 0, 6]]\nCounterfactual: Now imagine that we intervened on the original input by fixing some values.\n[[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [8, 0, 0, 0, 0, 0, 8, 0, 0, 8, 0, 8, 0, 8, 8, 0, 8, 8, 8, 8], [8, 8, 0, 8, 0, 0, 8, 8, 0, 8, 0, 8, 8, 8, 0, 8, 0, 0, 8, 0], [0, 8, 0, 8, 0, 8, 0, 8, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 8, 0], [0, 8, 8, 8, 8, 8, 0, 0, 0, 0, 8, 0, 8, 0, 0, 8, 8, 0, 8, 0], [8, 8, 8, 0, 0, 0, 8, 0, 8, 8, 8, 8, 0, 0, 8, 0, 0, 8, 8, 8], [0, 0, 8, 8, 0, 0, 8, 8, 0, 8, 8, 8, 0, 8, 0, 8, 8, 0, 0, 8], [0, 8, 0, 8, 8, 8, 0, 0, 8, 0, 0, 8, 0, 8, 0, 8, 8, 8, 8, 0], [8, 8, 0, 8, 8, 0, 8, 8, 8, 0, 8, 0, 8, 0, 0, 0, 8, 0, 0, 0], [0, 8, 0, 8, 8, 8, 0, 8, 8, 0, 8, 8, 8, 8, 0, 0, 0, 0, 8, 8], [0, 8, 8, 0, 0, 0, 8, 8, 8, 0, 0, 8, 8, 0, 8, 0, 0, 0, 0, 0], [8, 8, 0, 0, 8, 8, 0, 8, 8, 8, 0, 8, 0, 0, 8, 8, 0, 8, 8, 8], [8, 0, 0, 8, 8, 8, 0, 8, 8, 0, 0, 8, 0, 0, 8, 0, 0, 0, 0, 8], [8, 8, 8, 0, 0, 8, 8, 8, 8, 0, 8, 0, 8, 8, 0, 8, 8, 8, 0, 8], [0, 0, 8, 8, 0, 0, 0, 8, 8, 0, 0, 8, 8, 8, 8, 0, 8, 8, 0, 0], [0, 8, 8, 8, 0, 0, 0, 8, 8, 0, 8, 8, 0, 8, 0, 0, 8, 0, 0, 8], [0, 8, 8, 0, 8, 8, 8, 0, 8, 8, 0, 0, 0, 0, 0, 0, 8, 0, 8, 8], [0, 0, 0, 8, 8, 8, 0, 8, 8, 8, 8, 0, 0, 8, 0, 8, 8, 8, 8, 0], [0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 8, 0, 8, 0, 0, 8, 8], [0, 0, 0, 0, 0, 0, 8, 0, 0, 8, 8, 0, 0, 0, 0, 8, 8, 0, 0, 8], [0, 0, 8, 8, 0, 0, 8, 0, 8, 8, 0, 8, 0, 0, 0, 0, 8, 0, 8, 8], [0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0], [1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1], [1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0], [0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1], [0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1], [0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0], [0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0], [0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0], [0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1], [0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1], [1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1], [1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1], [1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1], [0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1], [1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1], [0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0], [1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0], [0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1], [0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0], [1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0]] -> [[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 6, 0, 0, 0, 6, 6, 6], [0, 0, 6, 0, 6, 0, 0, 6, 0, 6, 0, 0, 6, 6, 0, 0, 6, 6, 6, 6], [6, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 0, 0, 0, 0, 0], [0, 0, 0, 6, 6, 0, 6, 6, 6, 6, 0, 6, 6, 6, 0, 0, 0, 0, 6, 6], [6, 0, 6, 6, 0, 6, 6, 6, 6, 0, 0, 6, 6, 6, 6, 0, 6, 6, 0, 0], [0, 6, 0, 0, 0, 0, 6, 0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6], [0, 6, 6, 0, 6, 6, 0, 0, 0, 0, 6, 0, 6, 0, 6, 0, 0, 0, 6, 0], [6, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 0], [0, 6, 0, 0, 0, 0, 0, 6, 6, 6, 0, 6, 0, 0, 0, 0, 0, 6, 6, 0], [0, 0, 0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 0, 6, 0, 6, 6, 0, 6, 6], [0, 6, 6, 6, 0, 6, 6, 0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 6, 0, 0], [0, 6, 6, 0, 6, 0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 6, 0, 0, 6, 0], [0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 0, 0, 6, 6], [6, 0, 6, 0, 0, 6, 6, 0, 6, 0, 0, 0, 6, 6, 0, 0, 0, 6, 0, 0], [0, 6, 0, 0, 0, 6, 6, 0, 0, 0, 6, 0, 0, 6, 6, 6, 6, 0, 0, 6], [6, 6, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 0, 0, 0, 0, 6, 0], [0, 6, 6, 6, 6, 0, 6, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 0, 0], [0, 6, 6, 0, 0, 6, 0, 6, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 6], [6, 0, 0, 6, 0, 0, 6, 0, 6, 6, 0, 0, 0, 6, 0, 0, 6, 6, 0, 6]]\n",
+            "Replicate 4": "You must solve the following causal discovery problem, where the cells in an input array are causal parents of cells in an output array. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. You must predict the causal function(s) that relate parent cells in the input to their children in the output. Be concise: do not explain your reasoning, and start your answer with 'The logical operators are'.\nExample input-output arrays:\n[[7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 0, 7, 0], [0, 7, 7, 0, 0, 7, 7, 0, 0, 7, 0, 7, 0, 0, 7, 7, 7, 0, 0, 7], [0, 0, 7, 0, 0, 0, 7, 0, 7, 7, 7, 7, 0, 7, 0, 7, 7, 0, 0, 0], [0, 7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7, 7, 0, 7, 7, 0, 0, 7, 0], [7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7], [0, 7, 7, 0, 0, 0, 7, 0, 7, 0, 7, 0, 0, 7, 7, 7, 7, 7, 0, 0], [0, 0, 7, 0, 7, 7, 7, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0, 7, 7, 0], [7, 0, 7, 7, 7, 7, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0], [0, 7, 7, 7, 7, 0, 0, 7, 7, 0, 7, 0, 0, 7, 0, 7, 7, 0, 7, 7], [7, 7, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 7, 7, 0, 0, 0, 7, 0], [0, 0, 0, 7, 7, 0, 0, 7, 7, 7, 0, 0, 0, 0, 7, 7, 0, 7, 7, 7], [0, 7, 0, 0, 7, 0, 0, 7, 7, 7, 0, 7, 7, 0, 0, 0, 0, 7, 0, 7], [0, 0, 0, 0, 7, 0, 7, 0, 7, 7, 7, 7, 0, 0, 7, 7, 0, 0, 7, 7], [0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7], [7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 0, 0, 7, 0, 0, 0, 7, 0, 7], [0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 0, 0, 7, 7, 0], [7, 0, 0, 0, 7, 7, 7, 0, 7, 0, 0, 7, 7, 7, 0, 0, 0, 0, 7, 7], [7, 0, 7, 0, 0, 0, 0, 7, 7, 0, 7, 7, 0, 0, 7, 0, 7, 0, 7, 7], [7, 7, 7, 0, 0, 7, 0, 7, 0, 0, 7, 0, 7, 7, 7, 7, 0, 7, 7, 7], [0, 0, 0, 0, 0, 0, 7, 0, 7, 7, 0, 0, 7, 7, 0, 0, 0, 7, 0, 7], [8, 8, 8, 0, 0, 8, 8, 8, 8, 0, 0, 0, 0, 8, 8, 0, 8, 8, 0, 0], [0, 8, 0, 8, 8, 0, 0, 0, 0, 0, 0, 8, 8, 0, 8, 0, 0, 0, 0, 0], [0, 0, 8, 8, 8, 0, 0, 0, 8, 0, 0, 0, 8, 8, 0, 0, 0, 8, 8, 0], [0, 8, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 8, 8], [8, 0, 0, 8, 8, 0, 8, 0, 0, 0, 0, 0, 8, 8, 8, 8, 0, 0, 8, 8], [8, 0, 0, 8, 0, 0, 0, 8, 0, 0, 8, 8, 0, 8, 8, 8, 8, 8, 0, 0], [0, 0, 8, 8, 0, 0, 0, 8, 8, 0, 0, 0, 8, 8, 8, 8, 0, 0, 0, 8], [0, 0, 0, 0, 8, 8, 0, 0, 8, 8, 0, 8, 8, 8, 0, 8, 8, 0, 0, 8], [0, 0, 8, 0, 8, 0, 0, 0, 8, 8, 8, 0, 0, 8, 8, 0, 0, 8, 0, 8], [8, 0, 0, 0, 0, 8, 8, 8, 0, 0, 8, 0, 0, 0, 8, 8, 8, 8, 8, 0], [8, 8, 8, 0, 0, 8, 0, 8, 0, 8, 0, 8, 8, 8, 8, 8, 0, 8, 0, 0], [8, 8, 8, 8, 8, 0, 0, 8, 0, 8, 8, 8, 8, 0, 8, 0, 0, 8, 0, 0], [0, 8, 0, 8, 0, 0, 8, 0, 0, 0, 0, 8, 0, 8, 8, 0, 0, 0, 0, 8], [8, 0, 8, 0, 0, 8, 0, 8, 8, 0, 8, 8, 0, 8, 0, 0, 0, 8, 0, 0], [0, 8, 0, 0, 0, 0, 8, 0, 8, 0, 0, 8, 8, 0, 8, 8, 8, 0, 8, 8], [8, 0, 0, 0, 8, 8, 0, 8, 8, 0, 8, 0, 0, 0, 0, 8, 0, 8, 8, 0], [8, 8, 8, 8, 0, 0, 8, 8, 8, 8, 8, 8, 0, 0, 0, 8, 8, 0, 8, 8], [0, 8, 8, 0, 8, 8, 8, 0, 8, 0, 8, 8, 8, 0, 0, 0, 8, 0, 8, 8], [8, 8, 0, 0, 0, 8, 8, 0, 8, 0, 8, 0, 0, 0, 8, 8, 8, 8, 0, 0], [8, 8, 0, 0, 8, 0, 8, 0, 0, 0, 8, 8, 0, 8, 8, 0, 8, 0, 0, 0], [0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1], [1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0], [1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1], [0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1], [0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0], [0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1], [0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0], [0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1], [1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1], [0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1], [0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1], [0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0], [1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0], [0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1], [0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1], [0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0], [0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1], [1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0], [1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0], [0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1]] -> [[6, 0, 0, 0, 6, 6, 0, 6, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0, 6], [6, 0, 6, 0, 0, 0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 0, 0, 0, 6, 0], [6, 6, 0, 0, 0, 0, 0, 6, 6, 0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6], [0, 6, 0, 6, 6, 0, 6, 6, 6, 6, 0, 6, 0, 6, 6, 0, 6, 0, 6, 6], [6, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 6, 0, 6, 6, 0, 6, 6], [0, 6, 0, 0, 6, 0, 0, 6, 0, 6, 0, 6, 0, 6, 0, 6, 6, 0, 0, 6], [0, 6, 0, 0, 6, 6, 6, 6, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6, 0, 0], [0, 0, 6, 6, 0, 0, 0, 6, 0, 6, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6], [6, 0, 6, 0, 6, 6, 0, 6, 0, 0, 0, 6, 6, 0, 0, 6, 0, 6, 6, 0], [6, 0, 6, 0, 6, 0, 0, 6, 0, 0, 0, 6, 6, 0, 0, 0, 0, 6, 6, 6], [0, 0, 0, 0, 6, 0, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 0, 6, 6, 6], [0, 0, 6, 0, 0, 6, 0, 6, 6, 0, 6, 6, 0, 6, 0, 0, 0, 0, 0, 0], [6, 0, 6, 6, 6, 6, 6, 0, 0, 0, 6, 0, 0, 6, 6, 6, 6, 6, 6, 6], [0, 6, 0, 0, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 0, 6, 0, 0, 0, 6], [0, 6, 0, 6, 0, 0, 0, 6, 6, 0, 6, 0, 6, 0, 0, 6, 6, 0, 0, 0], [0, 0, 6, 0, 0, 0, 6, 0, 0, 0, 0, 6, 0, 0, 6, 6, 0, 0, 6, 0], [6, 6, 6, 0, 0, 6, 0, 6, 6, 6, 6, 6, 0, 6, 0, 0, 6, 6, 0, 0], [6, 6, 6, 0, 0, 6, 0, 0, 6, 6, 0, 6, 0, 6, 6, 0, 0, 0, 6, 6], [0, 6, 0, 6, 6, 0, 6, 6, 6, 6, 6, 0, 0, 6, 0, 6, 6, 0, 0, 0], [0, 6, 6, 6, 0, 6, 0, 6, 0, 6, 0, 6, 0, 6, 0, 6, 6, 0, 6, 6]]\nCounterfactual: Now imagine that we intervened on the original input by changing the causal function for some elements.\n[[0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 7, 7, 7, 0, 0, 0], [0, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7], [7, 0, 0, 7, 0, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 0, 0, 7, 7], [7, 7, 0, 7, 0, 0, 7, 0, 7, 0, 7, 7, 0, 0, 7, 7, 7, 7, 7, 0], [7, 7, 7, 7, 7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 0, 0], [7, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 0, 0, 0, 0, 7, 0, 0], [0, 0, 7, 7, 7, 7, 0, 7, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 7, 7], [0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 7, 7, 7, 0, 7, 7, 0, 0, 0, 7], [0, 0, 7, 0, 0, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 0, 0, 7], [0, 0, 0, 7, 0, 0, 0, 7, 0, 7, 7, 7, 7, 7, 0, 7, 0, 0, 0, 7], [7, 7, 0, 0, 7, 7, 7, 7, 0, 0, 7, 0, 7, 0, 7, 7, 7, 0, 0, 7], [0, 7, 7, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 7, 7], [0, 7, 7, 0, 0, 0, 7, 7, 7, 0, 7, 0, 0, 0, 0, 7, 7, 7, 7, 7], [0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0], [0, 0, 0, 7, 0, 0, 0, 7, 0, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 7, 7, 7, 0, 7, 7, 7, 0, 0, 7, 0, 0, 7, 0, 7, 7], [7, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0], [7, 7, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 7], [7, 0, 0, 7, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7], [7, 0, 7, 0, 7, 0, 7, 7, 0, 7, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 0, 8, 0], [8, 8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 8, 0, 0, 0, 8, 8, 0, 8, 8], [0, 0, 0, 0, 0, 8, 0, 8, 0, 0, 0, 8, 0, 8, 8, 0, 8, 8, 0, 8], [8, 8, 8, 8, 0, 8, 8, 8, 8, 8, 0, 8, 8, 0, 8, 0, 0, 0, 8, 0], [0, 8, 0, 8, 8, 8, 8, 0, 0, 8, 0, 0, 8, 0, 8, 0, 0, 8, 0, 8], [0, 8, 0, 8, 0, 0, 8, 0, 8, 8, 0, 0, 0, 8, 0, 0, 8, 8, 0, 8], [0, 0, 8, 8, 8, 8, 0, 0, 8, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0], [0, 0, 0, 8, 0, 0, 8, 0, 0, 0, 8, 8, 0, 8, 0, 8, 0, 0, 0, 0], [8, 0, 0, 0, 8, 8, 8, 0, 8, 8, 8, 0, 8, 8, 0, 0, 0, 0, 0, 8], [8, 0, 8, 0, 8, 0, 8, 8, 8, 8, 8, 0, 0, 0, 0, 0, 8, 0, 0, 0], [0, 0, 8, 0, 8, 8, 0, 8, 0, 0, 8, 8, 8, 8, 0, 8, 8, 0, 8, 8], [8, 8, 8, 8, 0, 0, 0, 0, 8, 0, 8, 0, 8, 0, 0, 8, 8, 8, 8, 8], [8, 8, 8, 0, 8, 8, 0, 8, 0, 0, 8, 0, 8, 0, 0, 0, 8, 8, 0, 8], [8, 8, 8, 8, 8, 0, 8, 0, 0, 0, 0, 0, 8, 0, 8, 8, 0, 8, 0, 0], [8, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 0, 8, 0], [8, 0, 8, 8, 0, 0, 0, 8, 0, 0, 0, 0, 8, 0, 0, 8, 0, 0, 8, 8], [0, 0, 0, 8, 0, 8, 8, 8, 8, 8, 8, 8, 8, 0, 8, 0, 8, 8, 0, 0], [0, 0, 0, 8, 0, 8, 0, 8, 0, 8, 8, 8, 0, 0, 8, 8, 0, 8, 8, 0], [8, 0, 8, 0, 8, 0, 8, 0, 0, 0, 8, 0, 8, 0, 8, 0, 0, 0, 8, 8], [8, 0, 8, 8, 8, 8, 0, 8, 0, 8, 8, 0, 8, 8, 0, 0, 8, 8, 0, 8], [1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0], [0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1], [1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0], [1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1], [0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1], [0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0], [1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0], [0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1], [0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1], [0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1], [1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0], [1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1], [1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1], [0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0], [1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1], [1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0], [1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0], [1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0], [0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0], [0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0]] -> [[6, 0, 6, 6, 6, 0, 0, 6, 6, 6, 0, 0, 6, 6, 0, 6, 6, 0, 0, 0], [0, 6, 0, 6, 0, 0, 6, 6, 6, 0, 6, 6, 0, 6, 0, 0, 6, 0, 6, 0], [6, 0, 0, 6, 6, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 0, 6, 0, 0, 6], [0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 6, 0, 6, 6, 0, 6, 6, 0, 6], [0, 0, 6, 6, 0, 6, 0, 0, 0, 6, 0, 6, 6, 6, 0, 0, 6, 0, 6, 6], [0, 0, 6, 0, 0, 0, 0, 0, 0, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0], [6, 6, 6, 0, 6, 6, 6, 0, 6, 0, 0, 6, 0, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 6, 0, 0, 0, 0, 6, 0, 6, 6], [0, 6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 6, 6, 0, 0, 6, 0, 6, 0, 0], [0, 6, 6, 0, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 6, 0, 6], [6, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 6, 6, 0, 6], [6, 6, 0, 0, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 6, 0, 0, 6, 0, 0], [6, 0, 0, 0, 6, 0, 0, 0, 6, 6, 6, 0, 0, 6, 6, 0, 0, 6, 0, 0], [0, 6, 6, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0], [6, 6, 6, 0, 6, 0, 6, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6, 0, 6, 6], [6, 0, 6, 0, 6, 6, 6, 6, 0, 0, 6, 6, 6, 0, 6, 0, 0, 0, 0, 6], [6, 6, 0, 6, 0, 0, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 0, 0, 6, 0], [6, 6, 0, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 6, 0, 6, 0, 0, 0], [6, 6, 0, 6, 0, 6, 6, 0, 6, 6, 6, 6, 0, 6, 0, 0, 6, 6, 6, 6], [6, 0, 6, 0, 6, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 0, 0, 0, 0, 6]]\nExample input-output arrays:\n[[7, 7, 7, 7, 7, 7, 0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0], [7, 7, 0, 0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 0, 7, 0, 7, 7, 7, 0], [7, 0, 7, 0, 7, 0, 0, 0, 7, 7, 0, 0, 7, 7, 0, 7, 7, 0, 0, 7], [7, 0, 7, 0, 0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 7, 0, 0], [7, 7, 7, 7, 0, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 7, 0, 0, 7, 0], [0, 7, 0, 7, 7, 7, 0, 0, 7, 0, 7, 7, 0, 0, 0, 0, 7, 7, 7, 0], [0, 7, 0, 0, 0, 7, 7, 7, 0, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 7], [7, 0, 0, 7, 7, 0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 7, 0], [7, 7, 0, 7, 0, 7, 0, 0, 0, 7, 7, 0, 7, 7, 0, 0, 0, 0, 0, 7], [0, 7, 0, 7, 7, 0, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0, 0, 7, 0, 7], [0, 7, 0, 7, 0, 0, 7, 0, 0, 0, 7, 7, 7, 7, 7, 0, 0, 7, 7, 7], [7, 7, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0, 7, 7, 0, 0, 0, 7, 7, 0], [0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 7, 7, 7, 7, 0, 0, 7, 7, 7, 7], [0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 0, 7], [7, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0], [7, 0, 0, 7, 0, 7, 7, 0, 0, 0, 0, 7, 7, 0, 7, 7, 7, 0, 0, 0], [0, 7, 0, 7, 7, 0, 0, 0, 0, 7, 7, 0, 7, 7, 0, 0, 0, 0, 7, 0], [0, 7, 7, 7, 0, 7, 0, 7, 7, 7, 0, 7, 0, 0, 7, 0, 0, 0, 0, 7], [7, 0, 0, 0, 7, 7, 0, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 7, 7], [7, 0, 7, 7, 7, 0, 0, 7, 0, 7, 7, 7, 0, 7, 0, 0, 7, 7, 7, 7], [8, 0, 8, 8, 0, 8, 0, 8, 0, 0, 8, 0, 0, 8, 8, 8, 8, 8, 0, 8], [0, 0, 8, 0, 0, 0, 0, 8, 0, 0, 8, 0, 8, 8, 0, 0, 0, 0, 8, 8], [0, 0, 8, 8, 0, 0, 0, 8, 8, 0, 0, 8, 8, 0, 8, 0, 8, 8, 0, 0], [8, 0, 0, 0, 8, 8, 8, 8, 0, 8, 0, 0, 8, 8, 8, 0, 8, 0, 8, 0], [0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 0, 8, 0], [0, 8, 8, 0, 0, 8, 0, 8, 8, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 8], [8, 8, 8, 0, 8, 0, 0, 8, 8, 8, 0, 8, 0, 0, 8, 8, 8, 8, 0, 0], [0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 8, 8, 0, 8, 0, 0], [0, 8, 0, 8, 8, 0, 8, 8, 8, 0, 8, 0, 8, 8, 0, 0, 8, 8, 8, 8], [8, 8, 0, 0, 0, 0, 0, 8, 0, 8, 8, 0, 0, 8, 0, 0, 0, 0, 0, 8], [0, 0, 8, 8, 0, 0, 0, 0, 8, 0, 8, 8, 0, 8, 0, 8, 0, 0, 0, 0], [0, 8, 8, 8, 0, 0, 8, 8, 8, 8, 8, 0, 8, 0, 8, 8, 8, 8, 8, 0], [8, 0, 0, 8, 8, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 8, 8, 0, 8, 0], [0, 0, 0, 8, 8, 8, 0, 8, 8, 8, 0, 8, 0, 0, 0, 8, 8, 8, 8, 8], [8, 0, 8, 0, 0, 0, 8, 0, 0, 8, 0, 8, 8, 0, 0, 0, 0, 8, 0, 0], [8, 8, 8, 0, 8, 8, 0, 8, 0, 8, 8, 8, 8, 0, 8, 0, 0, 8, 8, 8], [8, 0, 0, 0, 0, 8, 0, 0, 8, 8, 8, 0, 0, 0, 8, 8, 8, 0, 0, 0], [8, 0, 8, 0, 0, 8, 8, 0, 8, 0, 0, 8, 8, 8, 8, 0, 0, 8, 8, 0], [8, 8, 0, 0, 0, 8, 0, 0, 0, 0, 8, 0, 8, 8, 0, 0, 0, 0, 0, 8], [0, 8, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 8, 0, 8, 0, 0, 8, 0, 8], [0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0], [1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0], [1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0], [0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1], [1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0], [1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1], [1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0], [0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1], [1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0], [0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1], [1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1], [0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1], [1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0], [0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0], [1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0], [0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1], [0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1], [0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1], [1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1], [0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0]] -> [[6, 6, 6, 0, 6, 6, 6, 6, 0, 6, 0, 0, 0, 6, 0, 0, 6, 0, 0, 0], [6, 0, 0, 6, 6, 6, 0, 0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 6, 6, 0], [6, 0, 0, 0, 0, 6, 0, 6, 6, 0, 6, 6, 0, 6, 6, 0, 0, 0, 0, 0], [6, 0, 6, 6, 6, 0, 0, 6, 0, 6, 6, 0, 6, 6, 0, 0, 6, 0, 6, 6], [6, 0, 0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6, 0], [6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6], [6, 0, 0, 6, 6, 6, 6, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 0, 0, 0, 0, 6, 0, 0, 6, 6, 6, 0, 0, 6, 0, 0, 6, 6], [6, 0, 6, 6, 0, 0, 6, 6, 6, 0, 6, 0, 6, 0, 0, 0, 6, 0, 0, 6], [0, 0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 0, 6, 0, 0], [6, 6, 0, 6, 0, 0, 0, 0, 0, 6, 0, 6, 6, 0, 6, 0, 0, 6, 0, 6], [0, 6, 6, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 6, 6], [6, 6, 0, 6, 6, 6, 0, 0, 0, 6, 6, 0, 0, 6, 0, 0, 6, 0, 6, 0], [0, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 6, 0, 0, 6, 0, 6], [0, 0, 6, 0, 0, 6, 0, 6, 6, 6, 6, 0, 0, 0, 6, 0, 6, 6, 6, 0], [6, 6, 0, 6, 0, 0, 6, 0, 6, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6], [0, 6, 0, 0, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6, 0, 6, 6, 6, 0, 6], [0, 6, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 6, 0, 6, 0, 6], [0, 0, 0, 6, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0], [0, 6, 0, 0, 6, 6, 0, 6, 0, 0, 0, 6, 0, 0, 0, 6, 6, 6, 0, 6]]\nCounterfactual: Now imagine that we intervened on the original input by fixing some values.\n[[7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 7, 7, 7, 0, 7, 7], [7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 7, 0, 0, 7, 7, 7, 7, 0, 7, 0], [7, 0, 7, 0, 7, 7, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0, 0, 7, 0, 7], [0, 7, 7, 7, 0, 7, 7, 0, 0, 7, 7, 7, 0, 0, 0, 0, 7, 0, 7, 7], [0, 7, 7, 0, 0, 7, 0, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 0, 0, 0], [7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 7, 7, 0, 0, 7, 0, 7], [7, 0, 7, 0, 0, 0, 7, 0, 0, 7, 0, 7, 7, 0, 0, 0, 0, 0, 0, 7], [0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 0, 0, 7, 7, 7, 0, 0, 0, 7, 0, 7, 0], [7, 0, 7, 7, 7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 0, 7, 0, 7, 7], [7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0], [0, 0, 7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 0, 7, 0, 7, 0, 7], [0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7], [0, 7, 7, 0, 7, 7, 7, 0, 0, 0, 7, 7, 7, 7, 0, 7, 7, 0, 0, 0], [0, 0, 0, 0, 0, 7, 0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0, 0], [0, 0, 0, 0, 7, 0, 0, 0, 7, 0, 7, 7, 7, 7, 0, 0, 0, 7, 0, 7], [0, 0, 0, 7, 7, 0, 7, 0, 0, 0, 7, 7, 7, 7, 0, 0, 0, 0, 7, 7], [0, 0, 0, 7, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7, 0, 0, 7, 0, 0, 0], [0, 7, 7, 0, 7, 7, 7, 0, 0, 7, 0, 0, 7, 0, 0, 0, 7, 7, 7, 7], [0, 7, 0, 0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 7, 0, 0, 7, 0, 0, 7], [8, 0, 0, 0, 0, 0, 8, 0, 0, 8, 0, 8, 0, 8, 8, 0, 8, 8, 8, 8], [8, 8, 0, 8, 0, 0, 8, 8, 0, 8, 0, 8, 8, 8, 0, 8, 0, 0, 8, 0], [0, 8, 0, 8, 0, 8, 0, 8, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 8, 0], [0, 8, 8, 8, 8, 8, 0, 0, 0, 0, 8, 0, 8, 0, 0, 8, 8, 0, 8, 0], [8, 8, 8, 0, 0, 0, 8, 0, 8, 8, 8, 8, 0, 0, 8, 0, 0, 8, 8, 8], [0, 0, 8, 8, 0, 0, 8, 8, 0, 8, 8, 8, 0, 8, 0, 8, 8, 0, 0, 8], [0, 8, 0, 8, 8, 8, 0, 0, 8, 0, 0, 8, 0, 8, 0, 8, 8, 8, 8, 0], [8, 8, 0, 8, 8, 0, 8, 8, 8, 0, 8, 0, 8, 0, 0, 0, 8, 0, 0, 0], [0, 8, 0, 8, 8, 8, 0, 8, 8, 0, 8, 8, 8, 8, 0, 0, 0, 0, 8, 8], [0, 8, 8, 0, 0, 0, 8, 8, 8, 0, 0, 8, 8, 0, 8, 0, 0, 0, 0, 0], [8, 8, 0, 0, 8, 8, 0, 8, 8, 8, 0, 8, 0, 0, 8, 8, 0, 8, 8, 8], [8, 0, 0, 8, 8, 8, 0, 8, 8, 0, 0, 8, 0, 0, 8, 0, 0, 0, 0, 8], [8, 8, 8, 0, 0, 8, 8, 8, 8, 0, 8, 0, 8, 8, 0, 8, 8, 8, 0, 8], [0, 0, 8, 8, 0, 0, 0, 8, 8, 0, 0, 8, 8, 8, 8, 0, 8, 8, 0, 0], [0, 8, 8, 8, 0, 0, 0, 8, 8, 0, 8, 8, 0, 8, 0, 0, 8, 0, 0, 8], [0, 8, 8, 0, 8, 8, 8, 0, 8, 8, 0, 0, 0, 0, 0, 0, 8, 0, 8, 8], [0, 0, 0, 8, 8, 8, 0, 8, 8, 8, 8, 0, 0, 8, 0, 8, 8, 8, 8, 0], [0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 8, 0, 8, 0, 0, 8, 8], [0, 0, 0, 0, 0, 0, 8, 0, 0, 8, 8, 0, 0, 0, 0, 8, 8, 0, 0, 8], [0, 0, 8, 8, 0, 0, 8, 0, 8, 8, 0, 8, 0, 0, 0, 0, 8, 0, 8, 8], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]] -> [[0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 0, 6, 6, 0, 6, 0, 6, 0, 0], [0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 6, 0, 6, 0, 6, 6, 0, 6], [6, 6, 6, 6, 6, 0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6], [6, 0, 0, 0, 6, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 0, 6, 0, 6], [6, 0, 0, 6, 6, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 6, 0, 6, 6, 6, 6, 6, 0], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 0, 6, 0, 0, 0, 6, 0, 6, 6, 0, 0, 0, 6, 6, 6, 6, 6, 0, 6], [6, 6, 0, 6, 6, 6, 0, 0, 0, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6], [0, 6, 6, 6, 6, 6, 6, 0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 0, 0, 6, 0, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 0], [6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0], [6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 6, 6, 0, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 0, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0], [6, 6, 6, 0, 0, 6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 6, 6, 6, 0, 6], [6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0], [6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0]]\n"
+        }
+    }
+}
\ No newline at end of file
diff --git a/prompts/counterfactual_reasoning/.DS_Store b/prompts/counterfactual_reasoning/.DS_Store
new file mode 100644
index 0000000000000000000000000000000000000000..e46451f257b9a6a3222b85480ebbec3aca22be92
Binary files /dev/null and b/prompts/counterfactual_reasoning/.DS_Store differ
diff --git a/prompts/counterfactual_reasoning/counting_extension_ordering/cf_reasoning_counting_extension_ordering_prompts.json b/prompts/counterfactual_reasoning/counting_extension_ordering/cf_reasoning_counting_extension_ordering_prompts.json
new file mode 100644
index 0000000000000000000000000000000000000000..804555bfde2956bbabccf475ee0780dc28336d85
--- /dev/null
+++ b/prompts/counterfactual_reasoning/counting_extension_ordering/cf_reasoning_counting_extension_ordering_prompts.json
@@ -0,0 +1,50872 @@
+{
+    "SCMffb8": {
+        "L1": {
+            "Replicate 0": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 5, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 5, 0, 0], [0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 5, 0, 5, 0, 0], [0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 6, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [9, 8, 6, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 9, 0, 1, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0], [0, 0, 0, 0, 0, 8, 8, 0, 0, 0, 1, 0, 1, 0, 0], [0, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 0, 0, 0, 0, 5, 5, 5, 5, 0, 0, 0], [0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 5, 5, 0, 0, 0], [0, 0, 0, 5, 5, 0, 0, 0, 5, 0, 0, 5, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 5, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 3, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 2, 3, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 3, 0, 0, 0, 0, 9, 9, 9, 9, 0, 0, 0], [0, 0, 0, 3, 3, 0, 0, 0, 9, 9, 9, 9, 0, 0, 0], [0, 0, 0, 3, 3, 0, 0, 0, 9, 0, 0, 9, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 9, 9, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 5, 0, 0, 5, 5, 5, 5, 0, 5, 5, 0, 0], [0, 5, 5, 5, 0, 0, 0, 5, 0, 5, 0, 5, 5, 0, 0], [0, 0, 5, 5, 0, 0, 5, 5, 5, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 8, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 2, 8, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 8, 0, 0, 6, 6, 6, 6, 0, 2, 2, 0, 0], [0, 8, 8, 8, 0, 0, 0, 6, 0, 6, 0, 2, 2, 0, 0], [0, 0, 8, 8, 0, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 5, 0, 0, 5, 5, 5, 5, 0, 5, 5, 0, 0], [0, 5, 5, 5, 0, 0, 0, 5, 0, 5, 0, 5, 5, 0, 0], [0, 0, 5, 5, 0, 0, 5, 5, 5, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 8, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 2, 8, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        ]
+                    ],
+                    "output": [
+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                    ]
+                }
+            },
+            "Replicate 1": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 5, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 5, 0, 0], [0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 5, 0, 5, 0, 0], [0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 6, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [9, 8, 6, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 9, 0, 1, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0], [0, 0, 0, 0, 0, 8, 8, 0, 0, 0, 1, 0, 1, 0, 0], [0, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 5, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 5, 0, 0], [0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 5, 0, 5, 0, 0], [0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 6, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [9, 8, 6, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 9, 0, 1, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0], [0, 0, 0, 0, 0, 8, 8, 0, 0, 0, 1, 0, 1, 0, 0], [0, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 5, 0, 0, 5, 5, 5, 5, 0, 5, 5, 0, 0], [0, 5, 5, 5, 0, 0, 0, 5, 0, 5, 0, 5, 5, 0, 0], [0, 0, 5, 5, 0, 0, 5, 5, 5, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 8, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 2, 8, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 8, 0, 0, 6, 6, 6, 6, 0, 2, 2, 0, 0], [0, 8, 8, 8, 0, 0, 0, 6, 0, 6, 0, 2, 2, 0, 0], [0, 0, 8, 8, 0, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by rotating or flipping it.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 5, 0, 5, 5, 5, 5, 0, 0, 5, 5, 0, 0], [0, 0, 5, 5, 0, 5, 0, 5, 0, 0, 0, 5, 5, 5, 0], [0, 0, 0, 0, 0, 5, 5, 5, 5, 0, 0, 5, 5, 0, 0], [0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 8, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 8, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 8, 2, 1]] -> ",
+                "test": {
+                    "input": [
+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        ],
+                        [
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+                        [
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+                        [
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+                        ],
+                        [
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+                        [
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+                        [
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+                        [
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+                            0,
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+                            0,
+                            6,
+                            8,
+                            2,
+                            1
+                        ]
+                    ],
+                    "output": [
+                        [
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+                            0,
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+                            0,
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+                        ],
+                        [
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+                        [
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+                        ],
+                        [
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+                            0,
+                            0,
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+                            0,
+                            0,
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+                            0,
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+                        [
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+                        [
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+                            6,
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+                            0,
+                            8,
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        ]
+                    ]
+                }
+            },
+            "Replicate 2": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0], [0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 5, 0, 0], [0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 5, 5, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 4, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 9, 4, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 9, 4, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 9, 9, 0, 0, 0], [0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 9, 9, 0, 0, 0], [0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 7, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 7, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 0, 7, 7, 7, 7, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 5, 0, 0, 0], [0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 5, 5, 5, 0, 0, 0, 0, 0, 5, 5, 0, 0], [0, 0, 5, 0, 0, 5, 0, 0, 0, 0, 0, 5, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 4, 2, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [9, 4, 2, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 9, 0, 0, 0], [0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 3, 3, 3, 0, 0, 0, 0, 0, 4, 4, 0, 0], [0, 0, 3, 0, 0, 3, 0, 0, 0, 0, 0, 4, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 5, 0, 0, 5, 5, 5, 5, 0, 5, 5, 0, 0], [0, 5, 5, 5, 0, 0, 0, 5, 0, 5, 0, 5, 5, 0, 0], [0, 0, 5, 5, 0, 0, 5, 5, 5, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 8, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 2, 8, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 8, 0, 0, 6, 6, 6, 6, 0, 2, 2, 0, 0], [0, 8, 8, 8, 0, 0, 0, 6, 0, 6, 0, 2, 2, 0, 0], [0, 0, 8, 8, 0, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 5, 0, 0, 5, 5, 5, 5, 0, 5, 5, 0, 0], [0, 5, 5, 5, 0, 0, 0, 5, 0, 5, 0, 5, 5, 0, 0], [0, 0, 5, 5, 0, 0, 5, 5, 5, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 5, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 2, 5, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
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+                        ],
+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        ],
+                        [
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+                            5,
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+                            0,
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+                        ],
+                        [
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+                            0,
+                            0,
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+                        [
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+                        [
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+                        ],
+                        [
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+                        [
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+                        [
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+                        [
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+                        ]
+                    ],
+                    "output": [
+                        [
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+                            0,
+                            0,
+                            0,
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+                            0,
+                            0,
+                            0,
+                            0,
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+                        ],
+                        [
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+                        ],
+                        [
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+                            0,
+                            0,
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+                            0,
+                            0,
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+                        ],
+                        [
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+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
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+                        [
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+                            2,
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+                        ],
+                        [
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+                            5,
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+                            0,
+                            0,
+                            6,
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+                            2,
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        ]
+                    ]
+                }
+            },
+            "Replicate 3": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 5, 0, 0, 5, 5, 5, 5, 0, 5, 5, 0, 0], [0, 5, 5, 5, 0, 0, 0, 5, 0, 5, 0, 5, 5, 0, 0], [0, 0, 5, 5, 0, 0, 5, 5, 5, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 8, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 2, 8, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 8, 0, 0, 6, 6, 6, 6, 0, 2, 2, 0, 0], [0, 8, 8, 8, 0, 0, 0, 6, 0, 6, 0, 2, 2, 0, 0], [0, 0, 8, 8, 0, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0], [0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 5, 0, 0], [0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 5, 5, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 4, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 9, 4, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 9, 4, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 9, 9, 0, 0, 0], [0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 9, 9, 0, 0, 0], [0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 7, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 7, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 0, 7, 7, 7, 7, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0], [0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 5, 0, 0], [0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 5, 5, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 4, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 9, 4, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 9, 4, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 9, 9, 0, 0, 0], [0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 9, 9, 0, 0, 0], [0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 7, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 7, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 0, 7, 7, 7, 7, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by rotating or flipping it.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 5, 5, 5, 5, 0, 0, 0, 0, 0], [0, 0, 0, 5, 5, 0, 5, 5, 5, 5, 0, 0, 0, 0, 0], [0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 5, 5, 5, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 5, 5, 0, 0, 5, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 0, 5, 0, 0, 0, 0, 0, 7, 7, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            5,
+                            5,
+                            5,
+                            5,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            5,
+                            5,
+                            0,
+                            5,
+                            5,
+                            5,
+                            5,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            5,
+                            5,
+                            0,
+                            0,
+                            0,
+                            5,
+                            5,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            5,
+                            5,
+                            5,
+                            5,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            5,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            5,
+                            5,
+                            5,
+                            0,
+                            0,
+                            5,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            5,
+                            0,
+                            5,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            7,
+                            7,
+                            7,
+                            7
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            9,
+                            9
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            1
+                        ]
+                    ],
+                    "output": [
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            7,
+                            7,
+                            7,
+                            7,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            9,
+                            9,
+                            0,
+                            7,
+                            7,
+                            7,
+                            7,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            9,
+                            9,
+                            0,
+                            0,
+                            0,
+                            7,
+                            7,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            7,
+                            7,
+                            7,
+                            7,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            1,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            4,
+                            0,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ]
+                    ]
+                }
+            },
+            "Replicate 4": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0], [0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 5, 0, 0], [0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 5, 5, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 4, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 9, 4, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 9, 4, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 9, 9, 0, 0, 0], [0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 9, 9, 0, 0, 0], [0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 7, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 7, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 0, 7, 7, 7, 7, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 5, 0, 0, 0], [0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 5, 5, 5, 0, 0, 0, 0, 0, 5, 5, 0, 0], [0, 0, 5, 0, 0, 5, 0, 0, 0, 0, 0, 5, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 4, 2, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [9, 4, 2, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 9, 0, 0, 0], [0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 3, 3, 3, 0, 0, 0, 0, 0, 4, 4, 0, 0], [0, 0, 3, 0, 0, 3, 0, 0, 0, 0, 0, 4, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 5, 0, 0, 5, 5, 5, 5, 0, 5, 5, 0, 0], [0, 5, 5, 5, 0, 0, 0, 5, 0, 5, 0, 5, 5, 0, 0], [0, 0, 5, 5, 0, 0, 5, 5, 5, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 8, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 2, 8, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 8, 0, 0, 6, 6, 6, 6, 0, 2, 2, 0, 0], [0, 8, 8, 8, 0, 0, 0, 6, 0, 6, 0, 2, 2, 0, 0], [0, 0, 8, 8, 0, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by rotating or flipping it.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 5, 0, 5, 5, 5, 5, 0, 0, 5, 5, 0, 0], [0, 0, 5, 5, 0, 5, 0, 5, 0, 0, 0, 5, 5, 5, 0], [0, 0, 0, 0, 0, 5, 5, 5, 5, 0, 0, 5, 5, 0, 0], [0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 8, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 8, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 8, 2, 1]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            5,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            5,
+                            5,
+                            0,
+                            5,
+                            5,
+                            5,
+                            5,
+                            0,
+                            0,
+                            5,
+                            5,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            5,
+                            5,
+                            0,
+                            5,
+                            0,
+                            5,
+                            0,
+                            0,
+                            0,
+                            5,
+                            5,
+                            5,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            5,
+                            5,
+                            5,
+                            5,
+                            0,
+                            0,
+                            5,
+                            5,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            5,
+                            5,
+                            5,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            8,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            8,
+                            2,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            8,
+                            2,
+                            1
+                        ]
+                    ],
+                    "output": [
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            1,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            8,
+                            8,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            8,
+                            8,
+                            8,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            8,
+                            8,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ]
+                    ]
+                }
+            }
+        },
+        "L3": {
+            "Replicate 0": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 5, 0, 0, 5, 5, 5, 5, 0, 5, 5, 0, 0], [0, 5, 5, 5, 0, 0, 0, 5, 0, 5, 0, 5, 5, 0, 0], [0, 0, 5, 5, 0, 0, 5, 5, 5, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 8, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 2, 8, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 8, 0, 0, 6, 6, 6, 6, 0, 2, 2, 0, 0], [0, 8, 8, 8, 0, 0, 0, 6, 0, 6, 0, 2, 2, 0, 0], [0, 0, 8, 8, 0, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 5, 0, 0, 5, 5, 5, 5, 0, 5, 5, 0, 0], [0, 5, 5, 5, 0, 0, 0, 5, 0, 5, 0, 5, 5, 0, 0], [0, 0, 5, 5, 0, 0, 5, 5, 5, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 8, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 2, 8, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 8, 0, 0, 9, 9, 9, 9, 0, 2, 2, 0, 0], [0, 8, 8, 8, 0, 0, 0, 9, 0, 9, 0, 2, 2, 0, 0], [0, 0, 8, 8, 0, 0, 9, 9, 9, 9, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 5, 0, 0, 5, 5, 5, 5, 0, 5, 5, 0, 0], [0, 5, 5, 5, 0, 0, 0, 5, 0, 5, 0, 5, 5, 0, 0], [0, 0, 5, 5, 0, 0, 5, 5, 5, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 8, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 2, 8, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 8, 0, 0, 6, 6, 6, 6, 0, 2, 2, 0, 0], [0, 8, 8, 8, 0, 0, 0, 6, 0, 6, 0, 2, 2, 0, 0], [0, 0, 8, 8, 0, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 5, 0, 0, 5, 5, 5, 5, 0, 5, 5, 0, 0], [0, 5, 5, 5, 0, 0, 0, 5, 0, 5, 0, 5, 5, 0, 0], [0, 0, 5, 5, 0, 0, 5, 5, 5, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 8, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 2, 8, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 8, 0, 0, 9, 9, 9, 9, 0, 2, 2, 0, 0], [0, 8, 8, 8, 0, 0, 0, 9, 0, 9, 0, 2, 2, 0, 0], [0, 0, 8, 8, 0, 0, 9, 9, 9, 9, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by rotating or flipping it.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 5, 0, 5, 5, 5, 5, 0, 0, 5, 5, 0, 0], [0, 0, 5, 5, 0, 5, 0, 5, 0, 0, 0, 5, 5, 5, 0], [0, 0, 0, 0, 0, 5, 5, 5, 5, 0, 0, 5, 5, 0, 0], [0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 8, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 8, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 8, 2, 1]] -> ",
+                "test": {
+                    "input": [
+                        [
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+                        [
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+                    ],
+                    "output": [
+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                    ]
+                }
+            },
+            "Replicate 1": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 5, 0, 0, 5, 5, 5, 5, 0, 5, 5, 0, 0], [0, 5, 5, 5, 0, 0, 0, 5, 0, 5, 0, 5, 5, 0, 0], [0, 0, 5, 5, 0, 0, 5, 5, 5, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 8, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 2, 8, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 8, 0, 0, 6, 6, 6, 6, 0, 2, 2, 0, 0], [0, 8, 8, 8, 0, 0, 0, 6, 0, 6, 0, 2, 2, 0, 0], [0, 0, 8, 8, 0, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 5, 0, 0, 5, 5, 5, 5, 0, 5, 5, 0, 0], [0, 5, 5, 5, 0, 0, 0, 5, 0, 5, 0, 5, 5, 0, 0], [0, 0, 5, 5, 0, 0, 5, 5, 5, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 3, 8, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 3, 8, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 8, 0, 0, 6, 6, 6, 6, 0, 3, 3, 0, 0], [0, 8, 8, 8, 0, 0, 0, 6, 0, 6, 0, 3, 3, 0, 0], [0, 0, 8, 8, 0, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 5, 0, 0, 0], [0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 5, 5, 5, 0, 0, 0, 0, 0, 5, 5, 0, 0], [0, 0, 5, 0, 0, 5, 0, 0, 0, 0, 0, 5, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 4, 2, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [9, 4, 2, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 9, 0, 0, 0], [0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 3, 3, 3, 0, 0, 0, 0, 0, 4, 4, 0, 0], [0, 0, 3, 0, 0, 3, 0, 0, 0, 0, 0, 4, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 5, 0, 0, 0], [0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 5, 5, 5, 0, 0, 0, 0, 0, 5, 5, 0, 0], [0, 0, 5, 0, 0, 5, 0, 0, 0, 0, 0, 5, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 7, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 4, 7, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [9, 4, 7, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 9, 0, 0, 0], [0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 3, 3, 3, 0, 0, 0, 0, 0, 4, 4, 0, 0], [0, 0, 3, 0, 0, 3, 0, 0, 0, 0, 0, 4, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 5, 0, 0, 0], [0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 5, 5, 5, 0, 0, 0, 0, 0, 5, 5, 0, 0], [0, 0, 5, 0, 0, 5, 0, 0, 0, 0, 0, 5, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 2, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [9, 6, 2, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
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+                        ],
+                        [
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+                            0,
+                            0,
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+                            0,
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+                            0,
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+                            0
+                        ],
+                        [
+                            0,
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+                            5,
+                            0,
+                            0,
+                            0,
+                            5,
+                            0,
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+                            0
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
+                            0,
+                            0,
+                            5,
+                            5,
+                            5,
+                            5,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            5,
+                            5,
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+                        [
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+                            0,
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        ]
+                    ],
+                    "output": [
+                        [
+                            0,
+                            0,
+                            0,
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+                            0,
+                            0,
+                            0,
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+                        [
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+                            0,
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+                            0,
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+                            0,
+                            0,
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+                        ],
+                        [
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+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0,
+                            9,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
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+                            0,
+                            0,
+                            0,
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+                        [
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+                        [
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+                            0,
+                            0,
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+                        [
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+                        [
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+                            3,
+                            3,
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+                            0,
+                            0,
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+                            0,
+                            0,
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+                        [
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+                            3,
+                            3,
+                            3,
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+                            0,
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+                            6,
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+                        ],
+                        [
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            6,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
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+                            0,
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+                            0,
+                            0,
+                            0
+                        ]
+                    ]
+                }
+            },
+            "Replicate 2": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0], [0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 5, 0, 0], [0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 5, 5, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 4, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 9, 4, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 9, 4, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 9, 9, 0, 0, 0], [0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 9, 9, 0, 0, 0], [0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 7, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 7, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 0, 7, 7, 7, 7, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by rotating or flipping it.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0], [0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0], [0, 0, 5, 5, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 5, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 5, 5, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0], [0, 0, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 4, 9, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 4, 9, 1]] -> [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0], [0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0], [0, 0, 7, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 7, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 7, 7, 7, 7, 0, 0, 0, 0, 1, 0, 0, 0, 0], [0, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 5, 0, 0, 5, 5, 5, 5, 0, 5, 5, 0, 0], [0, 5, 5, 5, 0, 0, 0, 5, 0, 5, 0, 5, 5, 0, 0], [0, 0, 5, 5, 0, 0, 5, 5, 5, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 8, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 2, 8, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 8, 0, 0, 6, 6, 6, 6, 0, 2, 2, 0, 0], [0, 8, 8, 8, 0, 0, 0, 6, 0, 6, 0, 2, 2, 0, 0], [0, 0, 8, 8, 0, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 5, 0, 0, 5, 5, 5, 5, 0, 5, 5, 0, 0], [0, 5, 5, 5, 0, 0, 0, 5, 0, 5, 0, 5, 5, 0, 0], [0, 0, 5, 5, 0, 0, 5, 5, 5, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 3, 8, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 3, 8, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 8, 0, 0, 6, 6, 6, 6, 0, 3, 3, 0, 0], [0, 8, 8, 8, 0, 0, 0, 6, 0, 6, 0, 3, 3, 0, 0], [0, 0, 8, 8, 0, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by rotating or flipping it.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 5, 0, 5, 5, 5, 5, 0, 0, 5, 5, 0, 0], [0, 0, 5, 5, 0, 5, 0, 5, 0, 0, 0, 5, 5, 5, 0], [0, 0, 0, 0, 0, 5, 5, 5, 5, 0, 0, 5, 5, 0, 0], [0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 8, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 8, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 8, 2, 1]] -> ",
+                "test": {
+                    "input": [
+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        ]
+                    ],
+                    "output": [
+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                            0,
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+                        [
+                            0,
+                            0,
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+                            0,
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+                    ]
+                }
+            },
+            "Replicate 3": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 5, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 5, 0, 0], [0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 5, 0, 5, 0, 0], [0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 6, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [9, 8, 6, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 9, 0, 1, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0], [0, 0, 0, 0, 0, 8, 8, 0, 0, 0, 1, 0, 1, 0, 0], [0, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 5, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 5, 0, 0], [0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 5, 0, 5, 0, 0], [0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 6, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 8, 6, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0], [0, 0, 0, 0, 0, 8, 8, 0, 0, 0, 1, 0, 1, 0, 0], [0, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 0, 0, 0, 0, 5, 5, 5, 5, 0, 0, 0], [0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 5, 5, 0, 0, 0], [0, 0, 0, 5, 5, 0, 0, 0, 5, 0, 0, 5, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 5, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 3, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 2, 3, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 3, 0, 0, 0, 0, 9, 9, 9, 9, 0, 0, 0], [0, 0, 0, 3, 3, 0, 0, 0, 9, 9, 9, 9, 0, 0, 0], [0, 0, 0, 3, 3, 0, 0, 0, 9, 0, 0, 9, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 9, 9, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 0, 0, 0, 0, 5, 5, 5, 5, 0, 0, 0], [0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 5, 5, 0, 0, 0], [0, 0, 0, 5, 5, 0, 0, 0, 5, 0, 0, 5, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 5, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 6, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 2, 6, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0, 9, 9, 9, 9, 0, 0, 0], [0, 0, 0, 6, 6, 0, 0, 0, 9, 9, 9, 9, 0, 0, 0], [0, 0, 0, 6, 6, 0, 0, 0, 9, 0, 0, 9, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 9, 9, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 0, 0, 0, 0, 5, 5, 5, 5, 0, 0, 0], [0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 5, 5, 0, 0, 0], [0, 0, 0, 5, 5, 0, 0, 0, 5, 0, 0, 5, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 5, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 3, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 7, 3, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
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+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
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+                            0,
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+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            5,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
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+                            0,
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+                            0,
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+                            0
+                        ],
+                        [
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+                            0,
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+                            0,
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+                            0,
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+                        [
+                            0,
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+                        [
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+                            5,
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+                            5,
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+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            5,
+                            5,
+                            0,
+                            0,
+                            0,
+                            5,
+                            5,
+                            5,
+                            5,
+                            0,
+                            0,
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+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            5,
+                            5,
+                            0,
+                            0,
+                            0,
+                            5,
+                            0,
+                            0,
+                            5,
+                            0,
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+                        [
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+                        [
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+                        ],
+                        [
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+                            0,
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+                            0,
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+                            0,
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+                        ],
+                        [
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+                        ],
+                        [
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+                        ],
+                        [
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+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ]
+                    ],
+                    "output": [
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            1,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
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+                            0,
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+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
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+                            7,
+                            0,
+                            0,
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+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            7,
+                            7,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
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+                            0,
+                            3,
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+                            0,
+                            0,
+                            0,
+                            9,
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+                            9,
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+                            0
+                        ],
+                        [
+                            0,
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+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            9,
+                            9,
+                            9,
+                            9,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            9,
+                            0,
+                            0,
+                            9,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            9,
+                            0,
+                            9,
+                            9,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ]
+                    ]
+                }
+            },
+            "Replicate 4": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 5, 0, 0, 0], [0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 5, 5, 5, 0, 0, 0, 0, 0, 5, 5, 0, 0], [0, 0, 5, 0, 0, 5, 0, 0, 0, 0, 0, 5, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 4, 2, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [9, 4, 2, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 9, 0, 0, 0], [0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 3, 3, 3, 0, 0, 0, 0, 0, 4, 4, 0, 0], [0, 0, 3, 0, 0, 3, 0, 0, 0, 0, 0, 4, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 5, 0, 0, 0], [0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 5, 5, 5, 0, 0, 0, 0, 0, 5, 5, 0, 0], [0, 0, 5, 0, 0, 5, 0, 0, 0, 0, 0, 5, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 2, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [9, 6, 2, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 9, 0, 0, 0], [0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 3, 3, 3, 0, 0, 0, 0, 0, 6, 6, 0, 0], [0, 0, 3, 0, 0, 3, 0, 0, 0, 0, 0, 6, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0], [0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 5, 0, 0], [0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 5, 5, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 4, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 9, 4, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 9, 4, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 9, 9, 0, 0, 0], [0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 9, 9, 0, 0, 0], [0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 7, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 7, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 0, 7, 7, 7, 7, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by rotating or flipping it.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0], [0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0], [0, 0, 5, 5, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 5, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 5, 5, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0], [0, 0, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 4, 9, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 4, 9, 1]] -> [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0], [0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0], [0, 0, 7, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 7, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 7, 7, 7, 7, 0, 0, 0, 0, 1, 0, 0, 0, 0], [0, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0], [0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 5, 0, 0], [0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 5, 5, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 9, 2, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 9, 2, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
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+                        [
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+                    ],
+                    "output": [
+                        [
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+                        [
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+                }
+            }
+        }
+    },
+    "SCMtzlq": {
+        "L1": {
+            "Replicate 0": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 9, 0, 0, 0, 0, 0, 0], [0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0, 0, 0], [0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 4, 4, 4, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 1, 9, 4, 6, 8, 7, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[3, 3, 3, 1, 1, 1, 9, 9, 0, 4, 4, 4, 6, 6, 6, 8, 0, 0, 7, 7, 7, 2, 2, 2], [3, 3, 3, 1, 0, 1, 9, 0, 9, 4, 4, 4, 0, 6, 0, 8, 8, 8, 7, 7, 7, 2, 2, 0], [3, 0, 0, 1, 1, 0, 9, 9, 9, 4, 4, 0, 6, 0, 6, 8, 8, 0, 7, 7, 7, 0, 2, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 5, 4, 2, 1, 8, 6, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[3, 3, 3, 5, 5, 5, 4, 4, 4, 2, 2, 2, 1, 1, 0, 8, 0, 8, 6, 6, 0, 7, 0, 7], [3, 0, 0, 5, 5, 5, 0, 0, 4, 2, 0, 2, 1, 1, 0, 8, 8, 0, 0, 6, 6, 0, 0, 0], [3, 3, 0, 0, 0, 5, 4, 4, 4, 2, 2, 2, 1, 1, 0, 8, 8, 8, 6, 0, 6, 7, 0, 7]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 9, 0, 0, 0, 0, 0, 0], [0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0, 0, 0], [0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 4, 4, 4, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 1, 9, 4, 6, 8, 7, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[3, 3, 3, 1, 1, 1, 9, 9, 0, 4, 4, 4, 6, 6, 6, 8, 0, 0, 7, 7, 7, 2, 2, 2], [3, 3, 3, 1, 0, 1, 9, 0, 9, 4, 4, 4, 0, 6, 0, 8, 8, 8, 7, 7, 7, 2, 2, 0], [3, 0, 0, 1, 1, 0, 9, 9, 9, 4, 4, 0, 6, 0, 6, 8, 8, 0, 7, 7, 7, 0, 2, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by rotating or flipping it.\n[[3, 1, 9, 4, 6, 8, 7, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0], [0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 4, 4, 4, 0], [0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 9, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            3,
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+                        [
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+                    ],
+                    "output": [
+                        [
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+                }
+            },
+            "Replicate 1": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 4, 0, 0, 3, 3, 0, 0], [0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 3, 0, 3, 0], [0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 3, 3, 3, 0], [0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 3, 4, 5, 7, 9, 2, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[6, 6, 6, 3, 3, 0, 4, 0, 4, 5, 5, 0, 7, 7, 7, 9, 9, 9, 0, 0, 2, 8, 8, 8], [6, 6, 6, 3, 0, 3, 4, 4, 4, 5, 5, 5, 7, 7, 7, 9, 9, 9, 2, 0, 2, 8, 0, 0], [6, 6, 6, 3, 3, 3, 4, 4, 4, 5, 5, 5, 7, 7, 7, 0, 9, 9, 2, 2, 0, 8, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 4, 0, 0, 3, 3, 0, 0], [0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 3, 0, 3, 0], [0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 3, 3, 3, 0], [0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 3, 4, 5, 7, 9, 2, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[6, 6, 6, 3, 3, 0, 4, 0, 4, 5, 5, 0, 7, 7, 7, 9, 9, 9, 0, 0, 2, 8, 8, 8], [6, 6, 6, 3, 0, 3, 4, 4, 4, 5, 5, 5, 7, 7, 7, 9, 9, 9, 2, 0, 2, 8, 0, 0], [6, 6, 6, 3, 3, 3, 4, 4, 4, 5, 5, 5, 7, 7, 7, 0, 9, 9, 2, 2, 0, 8, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 9, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 9, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 7, 7, 7, 0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [7, 4, 2, 9, 5, 6, 8, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[7, 7, 7, 4, 4, 4, 0, 0, 2, 9, 9, 9, 5, 0, 5, 6, 6, 6, 8, 8, 8, 3, 3, 0], [0, 0, 7, 4, 0, 4, 2, 2, 2, 0, 9, 9, 5, 5, 5, 6, 6, 6, 8, 8, 8, 3, 3, 0], [7, 7, 7, 4, 4, 0, 0, 2, 2, 9, 9, 9, 0, 5, 5, 6, 6, 6, 8, 8, 8, 3, 3, 3]]\nCounterfactual: Now imagine that we intervened on the previous input by rotating or flipping it.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 0, 0], [0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 0], [0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 4, 0, 0, 0, 0, 0, 0], [0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0], [0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 0, 7, 7, 7, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 8, 6, 5, 9, 2, 4, 7]] -> ",
+                "test": {
+                    "input": [
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+                    ],
+                    "output": [
+                        [
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+                        [
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+                        [
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+                        ]
+                    ]
+                }
+            },
+            "Replicate 2": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 4, 0, 0, 3, 3, 0, 0], [0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 3, 0, 3, 0], [0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 3, 3, 3, 0], [0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 3, 4, 5, 7, 9, 2, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[6, 6, 6, 3, 3, 0, 4, 0, 4, 5, 5, 0, 7, 7, 7, 9, 9, 9, 0, 0, 2, 8, 8, 8], [6, 6, 6, 3, 0, 3, 4, 4, 4, 5, 5, 5, 7, 7, 7, 9, 9, 9, 2, 0, 2, 8, 0, 0], [6, 6, 6, 3, 3, 3, 4, 4, 4, 5, 5, 5, 7, 7, 7, 0, 9, 9, 2, 2, 0, 8, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 5, 4, 2, 1, 8, 6, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[3, 3, 3, 5, 5, 5, 4, 4, 4, 2, 2, 2, 1, 1, 0, 8, 0, 8, 6, 6, 0, 7, 0, 7], [3, 0, 0, 5, 5, 5, 0, 0, 4, 2, 0, 2, 1, 1, 0, 8, 8, 0, 0, 6, 6, 0, 0, 0], [3, 3, 0, 0, 0, 5, 4, 4, 4, 2, 2, 2, 1, 1, 0, 8, 8, 8, 6, 0, 6, 7, 0, 7]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 8, 6, 3, 5, 7, 2, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[1, 1, 0, 8, 8, 8, 0, 6, 6, 0, 3, 3, 0, 5, 5, 7, 7, 0, 2, 2, 2, 4, 4, 4], [1, 1, 0, 8, 8, 8, 6, 6, 6, 3, 3, 3, 5, 5, 5, 7, 7, 7, 0, 2, 2, 4, 4, 0], [1, 1, 0, 8, 8, 8, 6, 0, 6, 0, 0, 3, 5, 5, 5, 7, 7, 7, 2, 2, 2, 4, 0, 4]]\nCounterfactual: Now imagine that we intervened on the previous input by rotating or flipping it.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0], [0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 0, 0], [0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0], [0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 2, 7, 5, 3, 6, 8, 1]] -> ",
+                "test": {
+                    "input": [
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+                    ],
+                    "output": [
+                        [
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+                    ]
+                }
+            },
+            "Replicate 3": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 5, 4, 2, 1, 8, 6, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[3, 3, 3, 5, 5, 5, 4, 4, 4, 2, 2, 2, 1, 1, 0, 8, 0, 8, 6, 6, 0, 7, 0, 7], [3, 0, 0, 5, 5, 5, 0, 0, 4, 2, 0, 2, 1, 1, 0, 8, 8, 0, 0, 6, 6, 0, 0, 0], [3, 3, 0, 0, 0, 5, 4, 4, 4, 2, 2, 2, 1, 1, 0, 8, 8, 8, 6, 0, 6, 7, 0, 7]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 9, 0, 0, 0, 0, 0, 0], [0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0, 0, 0], [0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 4, 4, 4, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 1, 9, 4, 6, 8, 7, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[3, 3, 3, 1, 1, 1, 9, 9, 0, 4, 4, 4, 6, 6, 6, 8, 0, 0, 7, 7, 7, 2, 2, 2], [3, 3, 3, 1, 0, 1, 9, 0, 9, 4, 4, 4, 0, 6, 0, 8, 8, 8, 7, 7, 7, 2, 2, 0], [3, 0, 0, 1, 1, 0, 9, 9, 9, 4, 4, 0, 6, 0, 6, 8, 8, 0, 7, 7, 7, 0, 2, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 4, 0, 0, 3, 3, 0, 0], [0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 3, 0, 3, 0], [0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 3, 3, 3, 0], [0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 3, 4, 5, 7, 9, 2, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[6, 6, 6, 3, 3, 0, 4, 0, 4, 5, 5, 0, 7, 7, 7, 9, 9, 9, 0, 0, 2, 8, 8, 8], [6, 6, 6, 3, 0, 3, 4, 4, 4, 5, 5, 5, 7, 7, 7, 9, 9, 9, 2, 0, 2, 8, 0, 0], [6, 6, 6, 3, 3, 3, 4, 4, 4, 5, 5, 5, 7, 7, 7, 0, 9, 9, 2, 2, 0, 8, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 9, 9, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 9, 9, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 9, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 8, 8, 8, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 8, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 8, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 4, 1, 1, 3, 3, 1, 1], [1, 1, 1, 1, 1, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 1, 1, 3, 1, 3, 1], [1, 1, 1, 1, 1, 5, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 1, 1, 3, 3, 3, 1], [1, 1, 1, 1, 1, 5, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 7, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 7, 7, 7, 1, 1, 1, 1, 1, 1, 6, 6, 6, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 7, 7, 7, 1, 1, 1, 1, 1, 1, 6, 6, 6, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 6, 6, 6, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [6, 3, 4, 5, 7, 9, 2, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]] -> ",
+                "test": {
+                    "input": [
+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        ],
+                        [
+                            1,
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+                        ],
+                        [
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+                        ],
+                        [
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+                        ],
+                        [
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+                        ],
+                        [
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+                        [
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+                        ],
+                        [
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+                            1,
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+                        ],
+                        [
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+                        ],
+                        [
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+                        ],
+                        [
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+                            1
+                        ],
+                        [
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+                            1,
+                            1,
+                            1,
+                            1,
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+                            1,
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+                            1,
+                            1,
+                            1,
+                            1
+                        ],
+                        [
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+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
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+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1
+                        ],
+                        [
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1
+                        ],
+                        [
+                            6,
+                            3,
+                            4,
+                            5,
+                            7,
+                            9,
+                            2,
+                            8,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1
+                        ]
+                    ],
+                    "output": [
+                        [
+                            6,
+                            6,
+                            6,
+                            3,
+                            3,
+                            1,
+                            4,
+                            1,
+                            4,
+                            5,
+                            5,
+                            1,
+                            7,
+                            7,
+                            7,
+                            9,
+                            9,
+                            9,
+                            1,
+                            1,
+                            2,
+                            8,
+                            8,
+                            8
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            3,
+                            1,
+                            3,
+                            4,
+                            4,
+                            4,
+                            5,
+                            5,
+                            5,
+                            7,
+                            7,
+                            7,
+                            9,
+                            9,
+                            9,
+                            2,
+                            1,
+                            2,
+                            8,
+                            1,
+                            1
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            3,
+                            3,
+                            3,
+                            4,
+                            4,
+                            4,
+                            5,
+                            5,
+                            5,
+                            7,
+                            7,
+                            7,
+                            1,
+                            9,
+                            9,
+                            2,
+                            2,
+                            1,
+                            8,
+                            1,
+                            1
+                        ]
+                    ]
+                }
+            },
+            "Replicate 4": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 9, 0, 0, 0, 0, 0, 0], [0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0, 0, 0], [0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 4, 4, 4, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 1, 9, 4, 6, 8, 7, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[3, 3, 3, 1, 1, 1, 9, 9, 0, 4, 4, 4, 6, 6, 6, 8, 0, 0, 7, 7, 7, 2, 2, 2], [3, 3, 3, 1, 0, 1, 9, 0, 9, 4, 4, 4, 0, 6, 0, 8, 8, 8, 7, 7, 7, 2, 2, 0], [3, 0, 0, 1, 1, 0, 9, 9, 9, 4, 4, 0, 6, 0, 6, 8, 8, 0, 7, 7, 7, 0, 2, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 8, 6, 3, 5, 7, 2, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[1, 1, 0, 8, 8, 8, 0, 6, 6, 0, 3, 3, 0, 5, 5, 7, 7, 0, 2, 2, 2, 4, 4, 4], [1, 1, 0, 8, 8, 8, 6, 6, 6, 3, 3, 3, 5, 5, 5, 7, 7, 7, 0, 2, 2, 4, 4, 0], [1, 1, 0, 8, 8, 8, 6, 0, 6, 0, 0, 3, 5, 5, 5, 7, 7, 7, 2, 2, 2, 4, 0, 4]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 4, 0, 0, 3, 3, 0, 0], [0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 3, 0, 3, 0], [0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 3, 3, 3, 0], [0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 3, 4, 5, 7, 9, 2, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[6, 6, 6, 3, 3, 0, 4, 0, 4, 5, 5, 0, 7, 7, 7, 9, 9, 9, 0, 0, 2, 8, 8, 8], [6, 6, 6, 3, 0, 3, 4, 4, 4, 5, 5, 5, 7, 7, 7, 9, 9, 9, 2, 0, 2, 8, 0, 0], [6, 6, 6, 3, 3, 3, 4, 4, 4, 5, 5, 5, 7, 7, 7, 0, 9, 9, 2, 2, 0, 8, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by rotating or flipping it.\n[[6, 3, 4, 5, 7, 9, 2, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 3, 3, 3, 0], [0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 3, 0, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 4, 0, 0, 3, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0], [0, 0, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
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+                    "output": [
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+                }
+            }
+        },
+        "L3": {
+            "Replicate 0": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 9, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 9, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 7, 7, 7, 0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [7, 4, 2, 9, 5, 6, 8, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[7, 7, 7, 4, 4, 4, 0, 0, 2, 9, 9, 9, 5, 0, 5, 6, 6, 6, 8, 8, 8, 3, 3, 0], [0, 0, 7, 4, 0, 4, 2, 2, 2, 0, 9, 9, 5, 5, 5, 6, 6, 6, 8, 8, 8, 3, 3, 0], [7, 7, 7, 4, 4, 0, 0, 2, 2, 9, 9, 9, 0, 5, 5, 6, 6, 6, 8, 8, 8, 3, 3, 3]]\nCounterfactual: Now imagine that we intervened on the previous input by rotating or flipping it.\n[[7, 4, 2, 9, 5, 6, 8, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 7, 7, 7, 0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0], [0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0], [0, 0, 0, 0, 0, 0, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0], [0, 9, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0], [0, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 9, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[7, 7, 7, 4, 4, 0, 0, 2, 2, 9, 9, 9, 0, 5, 5, 6, 6, 6, 8, 8, 8, 3, 3, 3], [0, 0, 7, 4, 0, 4, 2, 2, 2, 0, 9, 9, 5, 5, 5, 6, 6, 6, 8, 8, 8, 3, 3, 0], [7, 7, 7, 4, 4, 4, 0, 0, 2, 9, 9, 9, 5, 0, 5, 6, 6, 6, 8, 8, 8, 3, 3, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 5, 4, 2, 1, 8, 6, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[3, 3, 3, 5, 5, 5, 4, 4, 4, 2, 2, 2, 1, 1, 0, 8, 0, 8, 6, 6, 0, 7, 0, 7], [3, 0, 0, 5, 5, 5, 0, 0, 4, 2, 0, 2, 1, 1, 0, 8, 8, 0, 0, 6, 6, 0, 0, 0], [3, 3, 0, 0, 0, 5, 4, 4, 4, 2, 2, 2, 1, 1, 0, 8, 8, 8, 6, 0, 6, 7, 0, 7]]\nCounterfactual: Now imagine that we intervened on the previous input by rotating or flipping it.\n[[3, 5, 4, 2, 1, 8, 6, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[3, 3, 0, 0, 0, 5, 4, 4, 4, 2, 2, 2, 1, 1, 0, 8, 8, 8, 6, 0, 6, 7, 0, 7], [3, 0, 0, 5, 5, 5, 0, 0, 4, 2, 0, 2, 1, 1, 0, 8, 8, 0, 0, 6, 6, 0, 0, 0], [3, 3, 3, 5, 5, 5, 4, 4, 4, 2, 2, 2, 1, 1, 0, 8, 0, 8, 6, 6, 0, 7, 0, 7]]\nCounterfactual: Now imagine that we intervened on the previous input by rotating or flipping it.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 8, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0], [0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 6, 8, 1, 2, 4, 5, 3]] -> ",
+                "test": {
+                    "input": [
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+                    ],
+                    "output": [
+                        [
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+                            0,
+                            3
+                        ],
+                        [
+                            7,
+                            0,
+                            7,
+                            6,
+                            0,
+                            6,
+                            8,
+                            8,
+                            8,
+                            0,
+                            1,
+                            1,
+                            2,
+                            2,
+                            2,
+                            4,
+                            4,
+                            4,
+                            5,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3
+                        ]
+                    ]
+                }
+            },
+            "Replicate 1": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 5, 4, 2, 1, 8, 6, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[3, 3, 3, 5, 5, 5, 4, 4, 4, 2, 2, 2, 1, 1, 0, 8, 0, 8, 6, 6, 0, 7, 0, 7], [3, 0, 0, 5, 5, 5, 0, 0, 4, 2, 0, 2, 1, 1, 0, 8, 8, 0, 0, 6, 6, 0, 0, 0], [3, 3, 0, 0, 0, 5, 4, 4, 4, 2, 2, 2, 1, 1, 0, 8, 8, 8, 6, 0, 6, 7, 0, 7]]\nCounterfactual: Now imagine that we intervened on the previous input by rotating or flipping it.\n[[3, 5, 4, 2, 1, 8, 6, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[3, 3, 0, 0, 0, 5, 4, 4, 4, 2, 2, 2, 1, 1, 0, 8, 8, 8, 6, 0, 6, 7, 0, 7], [3, 0, 0, 5, 5, 5, 0, 0, 4, 2, 0, 2, 1, 1, 0, 8, 8, 0, 0, 6, 6, 0, 0, 0], [3, 3, 3, 5, 5, 5, 4, 4, 4, 2, 2, 2, 1, 1, 0, 8, 0, 8, 6, 6, 0, 7, 0, 7]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 4, 0, 0, 3, 3, 0, 0], [0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 3, 0, 3, 0], [0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 3, 3, 3, 0], [0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 3, 4, 5, 7, 9, 2, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[6, 6, 6, 3, 3, 0, 4, 0, 4, 5, 5, 0, 7, 7, 7, 9, 9, 9, 0, 0, 2, 8, 8, 8], [6, 6, 6, 3, 0, 3, 4, 4, 4, 5, 5, 5, 7, 7, 7, 9, 9, 9, 2, 0, 2, 8, 0, 0], [6, 6, 6, 3, 3, 3, 4, 4, 4, 5, 5, 5, 7, 7, 7, 0, 9, 9, 2, 2, 0, 8, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by rotating or flipping it.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0], [0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 3, 0, 0, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 3, 0, 3, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0], [0, 3, 3, 3, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 2, 9, 7, 5, 4, 3, 6]] -> [[8, 8, 8, 2, 0, 0, 9, 9, 9, 7, 7, 7, 0, 5, 5, 4, 0, 4, 0, 3, 3, 6, 6, 6], [0, 0, 8, 2, 0, 2, 9, 9, 9, 7, 7, 7, 5, 5, 5, 4, 4, 4, 3, 0, 3, 6, 6, 6], [0, 0, 8, 0, 2, 2, 9, 9, 0, 7, 7, 7, 5, 5, 5, 4, 4, 4, 3, 3, 3, 6, 6, 6]]\nCounterfactual: Now imagine that we intervened on the previous input by rotating or flipping it.\n[[6, 3, 4, 5, 7, 9, 2, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 3, 3, 3, 0], [0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 3, 0, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 4, 0, 0, 3, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0], [0, 0, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            6,
+                            3,
+                            4,
+                            5,
+                            7,
+                            9,
+                            2,
+                            8,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
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+                    "output": [
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+                }
+            },
+            "Replicate 2": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 9, 0, 0, 0, 0, 0, 0], [0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0, 0, 0], [0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 4, 4, 4, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 1, 9, 4, 6, 8, 7, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[3, 3, 3, 1, 1, 1, 9, 9, 0, 4, 4, 4, 6, 6, 6, 8, 0, 0, 7, 7, 7, 2, 2, 2], [3, 3, 3, 1, 0, 1, 9, 0, 9, 4, 4, 4, 0, 6, 0, 8, 8, 8, 7, 7, 7, 2, 2, 0], [3, 0, 0, 1, 1, 0, 9, 9, 9, 4, 4, 0, 6, 0, 6, 8, 8, 0, 7, 7, 7, 0, 2, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by rotating or flipping it.\n[[3, 1, 9, 4, 6, 8, 7, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0], [0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 4, 4, 4, 0], [0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 9, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[3, 0, 0, 1, 1, 0, 9, 9, 9, 4, 4, 0, 6, 0, 6, 8, 8, 0, 7, 7, 7, 0, 2, 0], [3, 3, 3, 1, 0, 1, 9, 0, 9, 4, 4, 4, 0, 6, 0, 8, 8, 8, 7, 7, 7, 2, 2, 0], [3, 3, 3, 1, 1, 1, 9, 9, 0, 4, 4, 4, 6, 6, 6, 8, 0, 0, 7, 7, 7, 2, 2, 2]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 9, 0, 0, 0, 0, 0, 0], [0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0, 0, 0], [0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 4, 4, 4, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 1, 9, 4, 6, 8, 7, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[3, 3, 3, 1, 1, 1, 9, 9, 0, 4, 4, 4, 6, 6, 6, 8, 0, 0, 7, 7, 7, 2, 2, 2], [3, 3, 3, 1, 0, 1, 9, 0, 9, 4, 4, 4, 0, 6, 0, 8, 8, 8, 7, 7, 7, 2, 2, 0], [3, 0, 0, 1, 1, 0, 9, 9, 9, 4, 4, 0, 6, 0, 6, 8, 8, 0, 7, 7, 7, 0, 2, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by rotating or flipping it.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 9, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0], [0, 4, 4, 4, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0, 0], [0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 7, 8, 6, 4, 9, 1, 3]] -> [[2, 2, 2, 7, 7, 7, 0, 0, 8, 6, 6, 6, 4, 4, 4, 0, 9, 9, 1, 1, 1, 3, 3, 3], [0, 2, 2, 7, 7, 7, 8, 8, 8, 0, 6, 0, 4, 4, 4, 9, 0, 9, 1, 0, 1, 3, 3, 3], [0, 2, 0, 7, 7, 7, 0, 8, 8, 6, 0, 6, 0, 4, 4, 9, 9, 9, 0, 1, 1, 0, 0, 3]]\nCounterfactual: Now imagine that we intervened on the previous input by rotating or flipping it.\n[[3, 1, 9, 4, 6, 8, 7, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0], [0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 4, 4, 4, 0], [0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 9, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            3,
+                            1,
+                            9,
+                            4,
+                            6,
+                            8,
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        ],
+                        [
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+                        [
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+                        ],
+                        [
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+                        [
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+                    ],
+                    "output": [
+                        [
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+                        [
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+                        [
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+                    ]
+                }
+            },
+            "Replicate 3": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 8, 6, 3, 5, 7, 2, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[1, 1, 0, 8, 8, 8, 0, 6, 6, 0, 3, 3, 0, 5, 5, 7, 7, 0, 2, 2, 2, 4, 4, 4], [1, 1, 0, 8, 8, 8, 6, 6, 6, 3, 3, 3, 5, 5, 5, 7, 7, 7, 0, 2, 2, 4, 4, 0], [1, 1, 0, 8, 8, 8, 6, 0, 6, 0, 0, 3, 5, 5, 5, 7, 7, 7, 2, 2, 2, 4, 0, 4]]\nCounterfactual: Now imagine that we intervened on the previous input by rotating or flipping it.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0], [0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 0, 0], [0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0], [0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 2, 7, 5, 3, 6, 8, 1]] -> [[4, 4, 4, 2, 2, 2, 0, 7, 7, 5, 5, 0, 3, 3, 0, 6, 6, 0, 8, 8, 8, 0, 1, 1], [0, 4, 4, 2, 2, 0, 7, 7, 7, 5, 5, 5, 3, 3, 3, 6, 6, 6, 8, 8, 8, 0, 1, 1], [4, 0, 4, 2, 2, 2, 7, 7, 7, 5, 5, 5, 3, 0, 0, 6, 0, 6, 8, 8, 8, 0, 1, 1]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 9, 0, 0, 0, 0, 0, 0], [0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0, 0, 0], [0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 4, 4, 4, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 1, 9, 4, 6, 8, 7, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[3, 3, 3, 1, 1, 1, 9, 9, 0, 4, 4, 4, 6, 6, 6, 8, 0, 0, 7, 7, 7, 2, 2, 2], [3, 3, 3, 1, 0, 1, 9, 0, 9, 4, 4, 4, 0, 6, 0, 8, 8, 8, 7, 7, 7, 2, 2, 0], [3, 0, 0, 1, 1, 0, 9, 9, 9, 4, 4, 0, 6, 0, 6, 8, 8, 0, 7, 7, 7, 0, 2, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by rotating or flipping it.\n[[3, 1, 9, 4, 6, 8, 7, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0], [0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 4, 4, 4, 0], [0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 9, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[3, 0, 0, 1, 1, 0, 9, 9, 9, 4, 4, 0, 6, 0, 6, 8, 8, 0, 7, 7, 7, 0, 2, 0], [3, 3, 3, 1, 0, 1, 9, 0, 9, 4, 4, 4, 0, 6, 0, 8, 8, 8, 7, 7, 7, 2, 2, 0], [3, 3, 3, 1, 1, 1, 9, 9, 0, 4, 4, 4, 6, 6, 6, 8, 0, 0, 7, 7, 7, 2, 2, 2]]\nCounterfactual: Now imagine that we intervened on the previous input by rotating or flipping it.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 9, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0], [0, 4, 4, 4, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0, 0], [0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 7, 8, 6, 4, 9, 1, 3]] -> ",
+                "test": {
+                    "input": [
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+                        [
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+                        [
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+                        [
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+                        ]
+                    ],
+                    "output": [
+                        [
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+                            2,
+                            7,
+                            7,
+                            7,
+                            0,
+                            0,
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+                            3,
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+                            3
+                        ],
+                        [
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+                            3,
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+                        ],
+                        [
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+                            3
+                        ]
+                    ]
+                }
+            },
+            "Replicate 4": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 8, 6, 3, 5, 7, 2, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[1, 1, 0, 8, 8, 8, 0, 6, 6, 0, 3, 3, 0, 5, 5, 7, 7, 0, 2, 2, 2, 4, 4, 4], [1, 1, 0, 8, 8, 8, 6, 6, 6, 3, 3, 3, 5, 5, 5, 7, 7, 7, 0, 2, 2, 4, 4, 0], [1, 1, 0, 8, 8, 8, 6, 0, 6, 0, 0, 3, 5, 5, 5, 7, 7, 7, 2, 2, 2, 4, 0, 4]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 3, 3, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 3, 3, 3, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9], [9, 9, 9, 9, 3, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 7, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 7, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 2, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 2, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 4, 4, 4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 4, 4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 4, 9, 4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 5, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 5, 5, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 5, 5, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 1, 1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 1, 1, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 1, 1, 9, 9, 9, 9, 9, 9, 9, 6, 6, 6, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 8, 8, 9, 9, 6, 9, 6, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [1, 8, 6, 3, 5, 7, 2, 4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]] -> [[1, 1, 9, 8, 8, 8, 9, 6, 6, 9, 3, 3, 9, 5, 5, 7, 7, 9, 2, 2, 2, 4, 4, 4], [1, 1, 9, 8, 8, 8, 6, 6, 6, 3, 3, 3, 5, 5, 5, 7, 7, 7, 9, 2, 2, 4, 4, 9], [1, 1, 9, 8, 8, 8, 6, 9, 6, 9, 9, 3, 5, 5, 5, 7, 7, 7, 2, 2, 2, 4, 9, 4]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 9, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 9, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 7, 7, 7, 0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [7, 4, 2, 9, 5, 6, 8, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[7, 7, 7, 4, 4, 4, 0, 0, 2, 9, 9, 9, 5, 0, 5, 6, 6, 6, 8, 8, 8, 3, 3, 0], [0, 0, 7, 4, 0, 4, 2, 2, 2, 0, 9, 9, 5, 5, 5, 6, 6, 6, 8, 8, 8, 3, 3, 0], [7, 7, 7, 4, 4, 0, 0, 2, 2, 9, 9, 9, 0, 5, 5, 6, 6, 6, 8, 8, 8, 3, 3, 3]]\nCounterfactual: Now imagine that we intervened on the previous input by rotating or flipping it.\n[[7, 4, 2, 9, 5, 6, 8, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 7, 7, 7, 0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0], [0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0], [0, 0, 0, 0, 0, 0, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0], [0, 9, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0], [0, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 9, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[7, 7, 7, 4, 4, 0, 0, 2, 2, 9, 9, 9, 0, 5, 5, 6, 6, 6, 8, 8, 8, 3, 3, 3], [0, 0, 7, 4, 0, 4, 2, 2, 2, 0, 9, 9, 5, 5, 5, 6, 6, 6, 8, 8, 8, 3, 3, 0], [7, 7, 7, 4, 4, 4, 0, 0, 2, 9, 9, 9, 5, 0, 5, 6, 6, 6, 8, 8, 8, 3, 3, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by rotating or flipping it.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 0, 0], [0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 0], [0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 4, 0, 0, 0, 0, 0, 0], [0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0], [0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 0, 7, 7, 7, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 8, 6, 5, 9, 2, 4, 7]] -> ",
+                "test": {
+                    "input": [
+                        [
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+                        ],
+                        [
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+                        [
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+                        [
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+                    "output": [
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+    },
+    "SCMz750": {
+        "L1": {
+            "Replicate 0": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 9, 0, 0, 6, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 6, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 4, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[6, 3, 4, 8, 3, 3, 7, 1, 4, 0, 5, 3, 2, 6, 9, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 2, 4, 8, 2, 2, 7, 1, 4, 2, 5, 3, 2, 6, 9, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 0, 4, 8, 0, 0, 7, 1, 4, 0, 5, 3, 2, 6, 9, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 0, 4, 8, 0, 0, 7, 1, 4, 0, 5, 3, 2, 6, 9, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 6, 4, 8, 6, 6, 7, 1, 4, 6, 5, 3, 2, 6, 6, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 6, 4, 6, 6, 6, 7, 1, 4, 6, 5, 3, 2, 6, 6, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 3, 4, 3, 3, 3, 7, 1, 4, 3, 5, 3, 2, 6, 0, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 7, 4, 7, 7, 7, 7, 1, 7, 7, 5, 3, 2, 7, 7, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 6, 4, 6, 6, 6, 7, 1, 6, 6, 5, 6, 2, 6, 6, 3, 9, 0, 6, 9, 0, 0, 3, 0, 1], [6, 0, 4, 0, 0, 0, 7, 1, 0, 0, 5, 0, 2, 0, 0, 3, 9, 0, 6, 9, 0, 0, 3, 0, 1], [6, 6, 4, 6, 6, 6, 7, 6, 6, 6, 5, 6, 2, 6, 6, 3, 9, 6, 6, 9, 0, 0, 3, 0, 1], [6, 6, 4, 6, 6, 6, 7, 6, 6, 6, 5, 6, 6, 6, 6, 3, 9, 6, 6, 9, 6, 6, 3, 6, 1], [6, 9, 4, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 3, 9, 0, 0, 9, 0, 0, 3, 0, 1], [6, 0, 4, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 9, 0, 0, 3, 0, 1], [6, 0, 4, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 9, 0, 0, 3, 0, 1], [6, 5, 4, 5, 5, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 9, 0, 0, 3, 0, 1], [6, 7, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 9, 0, 0, 3, 0, 1], [6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 9, 1, 1, 3, 1, 1], [6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 9, 0, 0, 3, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 3, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 3, 0, 0], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 3], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[1, 6, 4, 0, 8, 0, 3, 0, 0, 1, 6, 0, 9, 7, 0, 0, 0, 8, 7, 0, 2, 0, 3, 0, 1], [1, 6, 4, 0, 8, 0, 3, 0, 0, 1, 6, 0, 9, 7, 0, 0, 0, 8, 7, 0, 2, 0, 3, 0, 1], [1, 6, 4, 0, 8, 0, 3, 0, 0, 1, 6, 0, 9, 7, 0, 0, 0, 8, 7, 0, 2, 0, 3, 0, 1], [1, 6, 4, 5, 8, 5, 3, 5, 5, 1, 6, 5, 9, 7, 0, 0, 0, 8, 7, 0, 2, 0, 3, 0, 1], [1, 6, 4, 0, 8, 0, 3, 0, 0, 1, 6, 0, 9, 7, 0, 0, 0, 8, 7, 0, 2, 0, 3, 0, 1], [1, 6, 4, 0, 8, 0, 3, 0, 0, 1, 6, 0, 9, 7, 0, 0, 0, 8, 7, 0, 2, 0, 3, 0, 1], [1, 6, 4, 8, 8, 0, 3, 0, 0, 1, 6, 0, 9, 7, 0, 0, 0, 8, 7, 0, 2, 0, 3, 0, 1], [1, 6, 4, 0, 0, 0, 3, 0, 0, 1, 6, 0, 9, 7, 0, 0, 0, 8, 7, 0, 2, 0, 3, 0, 1], [1, 6, 4, 1, 1, 1, 3, 1, 1, 1, 6, 1, 9, 7, 1, 1, 1, 8, 7, 1, 2, 1, 3, 0, 1], [1, 6, 4, 0, 0, 0, 3, 0, 0, 1, 6, 0, 9, 7, 0, 0, 0, 8, 7, 0, 2, 0, 3, 0, 1], [1, 6, 4, 3, 3, 3, 3, 3, 3, 1, 6, 3, 9, 7, 3, 3, 3, 8, 7, 3, 3, 3, 3, 3, 1], [1, 6, 4, 0, 0, 0, 3, 0, 0, 1, 6, 0, 9, 7, 0, 0, 0, 8, 7, 0, 0, 0, 3, 0, 1], [0, 6, 4, 0, 0, 0, 3, 0, 0, 1, 6, 0, 9, 7, 0, 0, 0, 8, 7, 0, 0, 0, 3, 0, 1], [2, 6, 2, 2, 2, 2, 3, 2, 2, 1, 6, 2, 9, 7, 2, 2, 2, 8, 7, 0, 0, 0, 3, 0, 1], [7, 6, 7, 7, 7, 7, 7, 7, 7, 1, 6, 7, 9, 7, 0, 0, 0, 8, 7, 0, 0, 0, 3, 0, 1], [3, 6, 3, 3, 3, 3, 3, 3, 3, 1, 6, 3, 9, 3, 3, 3, 3, 8, 7, 3, 3, 3, 3, 0, 1], [0, 6, 0, 0, 0, 0, 0, 0, 0, 1, 6, 0, 9, 0, 0, 0, 0, 8, 7, 0, 0, 0, 0, 0, 1], [7, 6, 0, 0, 0, 0, 0, 0, 0, 1, 6, 0, 9, 0, 0, 0, 0, 8, 7, 0, 0, 0, 0, 0, 1], [0, 6, 0, 0, 0, 0, 0, 0, 0, 1, 6, 0, 9, 0, 0, 0, 0, 8, 7, 0, 0, 0, 0, 0, 1], [8, 6, 8, 8, 8, 8, 8, 8, 8, 1, 6, 8, 9, 8, 8, 8, 8, 8, 7, 0, 0, 0, 0, 0, 1], [1, 6, 1, 1, 1, 1, 1, 1, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 6, 0, 0, 0, 0, 0, 0, 0, 1, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 0, 0, 1, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 6, 1, 1, 1, 1, 1, 1, 1, 1, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 6, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[7, 6, 4, 4, 3, 7, 1, 4, 4, 4, 2, 9, 0, 0, 2, 0, 1, 0, 2, 2, 8, 0, 0, 7, 5], [7, 6, 5, 5, 3, 7, 1, 5, 4, 4, 2, 9, 5, 5, 2, 5, 1, 5, 2, 2, 5, 5, 5, 7, 5], [7, 6, 2, 2, 3, 7, 1, 2, 4, 4, 2, 9, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 7, 0], [7, 6, 7, 7, 3, 7, 1, 0, 4, 4, 2, 9, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 7, 0], [7, 6, 0, 0, 3, 7, 1, 0, 4, 4, 2, 9, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 7, 0], [7, 6, 7, 7, 3, 7, 1, 0, 4, 4, 2, 9, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 7, 0], [7, 6, 7, 7, 3, 7, 1, 7, 4, 4, 7, 9, 7, 7, 2, 7, 1, 7, 7, 2, 7, 7, 7, 7, 0], [2, 6, 2, 2, 3, 0, 1, 0, 4, 4, 0, 9, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0], [0, 6, 0, 0, 3, 0, 1, 0, 4, 4, 0, 9, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0], [9, 6, 9, 9, 3, 9, 1, 9, 4, 4, 9, 9, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0], [0, 6, 0, 0, 3, 0, 1, 0, 4, 4, 0, 9, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0], [1, 6, 1, 1, 3, 1, 1, 0, 4, 4, 0, 9, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0], [2, 6, 2, 2, 3, 2, 2, 2, 4, 4, 2, 9, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0], [3, 3, 3, 3, 3, 0, 0, 0, 4, 4, 0, 9, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 9, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 9, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 9, 9, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 6, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
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+                        ],
+                        [
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+                        ],
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+                        ],
+                        [
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+            },
+            "Replicate 1": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 9, 0, 0, 6, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 6, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 4, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[6, 3, 4, 8, 3, 3, 7, 1, 4, 0, 5, 3, 2, 6, 9, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 2, 4, 8, 2, 2, 7, 1, 4, 2, 5, 3, 2, 6, 9, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 0, 4, 8, 0, 0, 7, 1, 4, 0, 5, 3, 2, 6, 9, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 0, 4, 8, 0, 0, 7, 1, 4, 0, 5, 3, 2, 6, 9, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 6, 4, 8, 6, 6, 7, 1, 4, 6, 5, 3, 2, 6, 6, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 6, 4, 6, 6, 6, 7, 1, 4, 6, 5, 3, 2, 6, 6, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 3, 4, 3, 3, 3, 7, 1, 4, 3, 5, 3, 2, 6, 0, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 7, 4, 7, 7, 7, 7, 1, 7, 7, 5, 3, 2, 7, 7, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 6, 4, 6, 6, 6, 7, 1, 6, 6, 5, 6, 2, 6, 6, 3, 9, 0, 6, 9, 0, 0, 3, 0, 1], [6, 0, 4, 0, 0, 0, 7, 1, 0, 0, 5, 0, 2, 0, 0, 3, 9, 0, 6, 9, 0, 0, 3, 0, 1], [6, 6, 4, 6, 6, 6, 7, 6, 6, 6, 5, 6, 2, 6, 6, 3, 9, 6, 6, 9, 0, 0, 3, 0, 1], [6, 6, 4, 6, 6, 6, 7, 6, 6, 6, 5, 6, 6, 6, 6, 3, 9, 6, 6, 9, 6, 6, 3, 6, 1], [6, 9, 4, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 3, 9, 0, 0, 9, 0, 0, 3, 0, 1], [6, 0, 4, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 9, 0, 0, 3, 0, 1], [6, 0, 4, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 9, 0, 0, 3, 0, 1], [6, 5, 4, 5, 5, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 9, 0, 0, 3, 0, 1], [6, 7, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 9, 0, 0, 3, 0, 1], [6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 9, 1, 1, 3, 1, 1], [6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 9, 0, 0, 3, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 3, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 3, 0, 0], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 6, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[7, 6, 4, 4, 3, 7, 1, 4, 4, 4, 2, 9, 0, 0, 2, 0, 1, 0, 2, 2, 8, 0, 0, 7, 5], [7, 6, 5, 5, 3, 7, 1, 5, 4, 4, 2, 9, 5, 5, 2, 5, 1, 5, 2, 2, 5, 5, 5, 7, 5], [7, 6, 2, 2, 3, 7, 1, 2, 4, 4, 2, 9, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 7, 0], [7, 6, 7, 7, 3, 7, 1, 0, 4, 4, 2, 9, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 7, 0], [7, 6, 0, 0, 3, 7, 1, 0, 4, 4, 2, 9, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 7, 0], [7, 6, 7, 7, 3, 7, 1, 0, 4, 4, 2, 9, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 7, 0], [7, 6, 7, 7, 3, 7, 1, 7, 4, 4, 7, 9, 7, 7, 2, 7, 1, 7, 7, 2, 7, 7, 7, 7, 0], [2, 6, 2, 2, 3, 0, 1, 0, 4, 4, 0, 9, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0], [0, 6, 0, 0, 3, 0, 1, 0, 4, 4, 0, 9, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0], [9, 6, 9, 9, 3, 9, 1, 9, 4, 4, 9, 9, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0], [0, 6, 0, 0, 3, 0, 1, 0, 4, 4, 0, 9, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0], [1, 6, 1, 1, 3, 1, 1, 0, 4, 4, 0, 9, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0], [2, 6, 2, 2, 3, 2, 2, 2, 4, 4, 2, 9, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0], [3, 3, 3, 3, 3, 0, 0, 0, 4, 4, 0, 9, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 9, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 9, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 9, 9, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 9, 0, 0, 6, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 6, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 4, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[6, 3, 4, 8, 3, 3, 7, 1, 4, 0, 5, 3, 2, 6, 9, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 2, 4, 8, 2, 2, 7, 1, 4, 2, 5, 3, 2, 6, 9, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 0, 4, 8, 0, 0, 7, 1, 4, 0, 5, 3, 2, 6, 9, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 0, 4, 8, 0, 0, 7, 1, 4, 0, 5, 3, 2, 6, 9, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 6, 4, 8, 6, 6, 7, 1, 4, 6, 5, 3, 2, 6, 6, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 6, 4, 6, 6, 6, 7, 1, 4, 6, 5, 3, 2, 6, 6, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 3, 4, 3, 3, 3, 7, 1, 4, 3, 5, 3, 2, 6, 0, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 7, 4, 7, 7, 7, 7, 1, 7, 7, 5, 3, 2, 7, 7, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 6, 4, 6, 6, 6, 7, 1, 6, 6, 5, 6, 2, 6, 6, 3, 9, 0, 6, 9, 0, 0, 3, 0, 1], [6, 0, 4, 0, 0, 0, 7, 1, 0, 0, 5, 0, 2, 0, 0, 3, 9, 0, 6, 9, 0, 0, 3, 0, 1], [6, 6, 4, 6, 6, 6, 7, 6, 6, 6, 5, 6, 2, 6, 6, 3, 9, 6, 6, 9, 0, 0, 3, 0, 1], [6, 6, 4, 6, 6, 6, 7, 6, 6, 6, 5, 6, 6, 6, 6, 3, 9, 6, 6, 9, 6, 6, 3, 6, 1], [6, 9, 4, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 3, 9, 0, 0, 9, 0, 0, 3, 0, 1], [6, 0, 4, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 9, 0, 0, 3, 0, 1], [6, 0, 4, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 9, 0, 0, 3, 0, 1], [6, 5, 4, 5, 5, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 9, 0, 0, 3, 0, 1], [6, 7, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 9, 0, 0, 3, 0, 1], [6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 9, 1, 1, 3, 1, 1], [6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 9, 0, 0, 3, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 3, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 3, 0, 0], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 9, 0, 0, 6, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 6, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 4, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> ",
+                "test": {
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+                    ],
+                    "output": [
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+            "Replicate 2": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 3], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[1, 6, 4, 0, 8, 0, 3, 0, 0, 1, 6, 0, 9, 7, 0, 0, 0, 8, 7, 0, 2, 0, 3, 0, 1], [1, 6, 4, 0, 8, 0, 3, 0, 0, 1, 6, 0, 9, 7, 0, 0, 0, 8, 7, 0, 2, 0, 3, 0, 1], [1, 6, 4, 0, 8, 0, 3, 0, 0, 1, 6, 0, 9, 7, 0, 0, 0, 8, 7, 0, 2, 0, 3, 0, 1], [1, 6, 4, 5, 8, 5, 3, 5, 5, 1, 6, 5, 9, 7, 0, 0, 0, 8, 7, 0, 2, 0, 3, 0, 1], [1, 6, 4, 0, 8, 0, 3, 0, 0, 1, 6, 0, 9, 7, 0, 0, 0, 8, 7, 0, 2, 0, 3, 0, 1], [1, 6, 4, 0, 8, 0, 3, 0, 0, 1, 6, 0, 9, 7, 0, 0, 0, 8, 7, 0, 2, 0, 3, 0, 1], [1, 6, 4, 8, 8, 0, 3, 0, 0, 1, 6, 0, 9, 7, 0, 0, 0, 8, 7, 0, 2, 0, 3, 0, 1], [1, 6, 4, 0, 0, 0, 3, 0, 0, 1, 6, 0, 9, 7, 0, 0, 0, 8, 7, 0, 2, 0, 3, 0, 1], [1, 6, 4, 1, 1, 1, 3, 1, 1, 1, 6, 1, 9, 7, 1, 1, 1, 8, 7, 1, 2, 1, 3, 0, 1], [1, 6, 4, 0, 0, 0, 3, 0, 0, 1, 6, 0, 9, 7, 0, 0, 0, 8, 7, 0, 2, 0, 3, 0, 1], [1, 6, 4, 3, 3, 3, 3, 3, 3, 1, 6, 3, 9, 7, 3, 3, 3, 8, 7, 3, 3, 3, 3, 3, 1], [1, 6, 4, 0, 0, 0, 3, 0, 0, 1, 6, 0, 9, 7, 0, 0, 0, 8, 7, 0, 0, 0, 3, 0, 1], [0, 6, 4, 0, 0, 0, 3, 0, 0, 1, 6, 0, 9, 7, 0, 0, 0, 8, 7, 0, 0, 0, 3, 0, 1], [2, 6, 2, 2, 2, 2, 3, 2, 2, 1, 6, 2, 9, 7, 2, 2, 2, 8, 7, 0, 0, 0, 3, 0, 1], [7, 6, 7, 7, 7, 7, 7, 7, 7, 1, 6, 7, 9, 7, 0, 0, 0, 8, 7, 0, 0, 0, 3, 0, 1], [3, 6, 3, 3, 3, 3, 3, 3, 3, 1, 6, 3, 9, 3, 3, 3, 3, 8, 7, 3, 3, 3, 3, 0, 1], [0, 6, 0, 0, 0, 0, 0, 0, 0, 1, 6, 0, 9, 0, 0, 0, 0, 8, 7, 0, 0, 0, 0, 0, 1], [7, 6, 0, 0, 0, 0, 0, 0, 0, 1, 6, 0, 9, 0, 0, 0, 0, 8, 7, 0, 0, 0, 0, 0, 1], [0, 6, 0, 0, 0, 0, 0, 0, 0, 1, 6, 0, 9, 0, 0, 0, 0, 8, 7, 0, 0, 0, 0, 0, 1], [8, 6, 8, 8, 8, 8, 8, 8, 8, 1, 6, 8, 9, 8, 8, 8, 8, 8, 7, 0, 0, 0, 0, 0, 1], [1, 6, 1, 1, 1, 1, 1, 1, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 6, 0, 0, 0, 0, 0, 0, 0, 1, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 0, 0, 1, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 6, 1, 1, 1, 1, 1, 1, 1, 1, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 9, 0, 0, 6, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 6, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 4, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[6, 3, 4, 8, 3, 3, 7, 1, 4, 0, 5, 3, 2, 6, 9, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 2, 4, 8, 2, 2, 7, 1, 4, 2, 5, 3, 2, 6, 9, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 0, 4, 8, 0, 0, 7, 1, 4, 0, 5, 3, 2, 6, 9, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 0, 4, 8, 0, 0, 7, 1, 4, 0, 5, 3, 2, 6, 9, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 6, 4, 8, 6, 6, 7, 1, 4, 6, 5, 3, 2, 6, 6, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 6, 4, 6, 6, 6, 7, 1, 4, 6, 5, 3, 2, 6, 6, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 3, 4, 3, 3, 3, 7, 1, 4, 3, 5, 3, 2, 6, 0, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 7, 4, 7, 7, 7, 7, 1, 7, 7, 5, 3, 2, 7, 7, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 6, 4, 6, 6, 6, 7, 1, 6, 6, 5, 6, 2, 6, 6, 3, 9, 0, 6, 9, 0, 0, 3, 0, 1], [6, 0, 4, 0, 0, 0, 7, 1, 0, 0, 5, 0, 2, 0, 0, 3, 9, 0, 6, 9, 0, 0, 3, 0, 1], [6, 6, 4, 6, 6, 6, 7, 6, 6, 6, 5, 6, 2, 6, 6, 3, 9, 6, 6, 9, 0, 0, 3, 0, 1], [6, 6, 4, 6, 6, 6, 7, 6, 6, 6, 5, 6, 6, 6, 6, 3, 9, 6, 6, 9, 6, 6, 3, 6, 1], [6, 9, 4, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 3, 9, 0, 0, 9, 0, 0, 3, 0, 1], [6, 0, 4, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 9, 0, 0, 3, 0, 1], [6, 0, 4, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 9, 0, 0, 3, 0, 1], [6, 5, 4, 5, 5, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 9, 0, 0, 3, 0, 1], [6, 7, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 9, 0, 0, 3, 0, 1], [6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 9, 1, 1, 3, 1, 1], [6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 9, 0, 0, 3, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 3, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 3, 0, 0], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 9, 0, 0, 6, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 6, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 4, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[6, 3, 4, 8, 3, 3, 7, 1, 4, 0, 5, 3, 2, 6, 9, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 2, 4, 8, 2, 2, 7, 1, 4, 2, 5, 3, 2, 6, 9, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 0, 4, 8, 0, 0, 7, 1, 4, 0, 5, 3, 2, 6, 9, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 0, 4, 8, 0, 0, 7, 1, 4, 0, 5, 3, 2, 6, 9, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 6, 4, 8, 6, 6, 7, 1, 4, 6, 5, 3, 2, 6, 6, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 6, 4, 6, 6, 6, 7, 1, 4, 6, 5, 3, 2, 6, 6, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 3, 4, 3, 3, 3, 7, 1, 4, 3, 5, 3, 2, 6, 0, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 7, 4, 7, 7, 7, 7, 1, 7, 7, 5, 3, 2, 7, 7, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 6, 4, 6, 6, 6, 7, 1, 6, 6, 5, 6, 2, 6, 6, 3, 9, 0, 6, 9, 0, 0, 3, 0, 1], [6, 0, 4, 0, 0, 0, 7, 1, 0, 0, 5, 0, 2, 0, 0, 3, 9, 0, 6, 9, 0, 0, 3, 0, 1], [6, 6, 4, 6, 6, 6, 7, 6, 6, 6, 5, 6, 2, 6, 6, 3, 9, 6, 6, 9, 0, 0, 3, 0, 1], [6, 6, 4, 6, 6, 6, 7, 6, 6, 6, 5, 6, 6, 6, 6, 3, 9, 6, 6, 9, 6, 6, 3, 6, 1], [6, 9, 4, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 3, 9, 0, 0, 9, 0, 0, 3, 0, 1], [6, 0, 4, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 9, 0, 0, 3, 0, 1], [6, 0, 4, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 9, 0, 0, 3, 0, 1], [6, 5, 4, 5, 5, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 9, 0, 0, 3, 0, 1], [6, 7, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 9, 0, 0, 3, 0, 1], [6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 9, 1, 1, 3, 1, 1], [6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 9, 0, 0, 3, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 3, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 3, 0, 0], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 9, 0, 0, 6, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 6, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 4, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
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+            },
+            "Replicate 3": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 3], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[1, 6, 4, 0, 8, 0, 3, 0, 0, 1, 6, 0, 9, 7, 0, 0, 0, 8, 7, 0, 2, 0, 3, 0, 1], [1, 6, 4, 0, 8, 0, 3, 0, 0, 1, 6, 0, 9, 7, 0, 0, 0, 8, 7, 0, 2, 0, 3, 0, 1], [1, 6, 4, 0, 8, 0, 3, 0, 0, 1, 6, 0, 9, 7, 0, 0, 0, 8, 7, 0, 2, 0, 3, 0, 1], [1, 6, 4, 5, 8, 5, 3, 5, 5, 1, 6, 5, 9, 7, 0, 0, 0, 8, 7, 0, 2, 0, 3, 0, 1], [1, 6, 4, 0, 8, 0, 3, 0, 0, 1, 6, 0, 9, 7, 0, 0, 0, 8, 7, 0, 2, 0, 3, 0, 1], [1, 6, 4, 0, 8, 0, 3, 0, 0, 1, 6, 0, 9, 7, 0, 0, 0, 8, 7, 0, 2, 0, 3, 0, 1], [1, 6, 4, 8, 8, 0, 3, 0, 0, 1, 6, 0, 9, 7, 0, 0, 0, 8, 7, 0, 2, 0, 3, 0, 1], [1, 6, 4, 0, 0, 0, 3, 0, 0, 1, 6, 0, 9, 7, 0, 0, 0, 8, 7, 0, 2, 0, 3, 0, 1], [1, 6, 4, 1, 1, 1, 3, 1, 1, 1, 6, 1, 9, 7, 1, 1, 1, 8, 7, 1, 2, 1, 3, 0, 1], [1, 6, 4, 0, 0, 0, 3, 0, 0, 1, 6, 0, 9, 7, 0, 0, 0, 8, 7, 0, 2, 0, 3, 0, 1], [1, 6, 4, 3, 3, 3, 3, 3, 3, 1, 6, 3, 9, 7, 3, 3, 3, 8, 7, 3, 3, 3, 3, 3, 1], [1, 6, 4, 0, 0, 0, 3, 0, 0, 1, 6, 0, 9, 7, 0, 0, 0, 8, 7, 0, 0, 0, 3, 0, 1], [0, 6, 4, 0, 0, 0, 3, 0, 0, 1, 6, 0, 9, 7, 0, 0, 0, 8, 7, 0, 0, 0, 3, 0, 1], [2, 6, 2, 2, 2, 2, 3, 2, 2, 1, 6, 2, 9, 7, 2, 2, 2, 8, 7, 0, 0, 0, 3, 0, 1], [7, 6, 7, 7, 7, 7, 7, 7, 7, 1, 6, 7, 9, 7, 0, 0, 0, 8, 7, 0, 0, 0, 3, 0, 1], [3, 6, 3, 3, 3, 3, 3, 3, 3, 1, 6, 3, 9, 3, 3, 3, 3, 8, 7, 3, 3, 3, 3, 0, 1], [0, 6, 0, 0, 0, 0, 0, 0, 0, 1, 6, 0, 9, 0, 0, 0, 0, 8, 7, 0, 0, 0, 0, 0, 1], [7, 6, 0, 0, 0, 0, 0, 0, 0, 1, 6, 0, 9, 0, 0, 0, 0, 8, 7, 0, 0, 0, 0, 0, 1], [0, 6, 0, 0, 0, 0, 0, 0, 0, 1, 6, 0, 9, 0, 0, 0, 0, 8, 7, 0, 0, 0, 0, 0, 1], [8, 6, 8, 8, 8, 8, 8, 8, 8, 1, 6, 8, 9, 8, 8, 8, 8, 8, 7, 0, 0, 0, 0, 0, 1], [1, 6, 1, 1, 1, 1, 1, 1, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 6, 0, 0, 0, 0, 0, 0, 0, 1, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 0, 0, 1, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 6, 1, 1, 1, 1, 1, 1, 1, 1, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 7, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0], [0, 9, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[3, 2, 4, 3, 8, 0, 9, 7, 7, 6, 0, 0, 8, 0, 4, 8, 0, 8, 8, 7, 5, 4, 3, 1, 4], [3, 2, 4, 3, 8, 3, 9, 7, 7, 6, 3, 3, 8, 3, 4, 8, 0, 8, 8, 7, 5, 4, 3, 1, 4], [4, 2, 4, 0, 8, 0, 9, 7, 7, 6, 0, 0, 8, 0, 4, 8, 0, 8, 8, 7, 5, 4, 3, 1, 4], [5, 2, 5, 5, 8, 5, 9, 7, 7, 6, 5, 5, 8, 5, 4, 8, 5, 8, 5, 7, 5, 4, 3, 1, 4], [1, 2, 1, 1, 8, 1, 9, 7, 7, 6, 1, 1, 8, 1, 4, 8, 1, 8, 1, 7, 5, 4, 3, 1, 4], [5, 2, 5, 5, 8, 5, 9, 7, 7, 6, 5, 5, 8, 5, 4, 8, 5, 8, 5, 7, 5, 4, 3, 0, 4], [4, 2, 4, 4, 8, 4, 4, 7, 7, 6, 4, 4, 8, 4, 4, 8, 4, 8, 0, 7, 0, 4, 3, 0, 4], [7, 2, 7, 7, 8, 7, 7, 7, 7, 6, 7, 7, 8, 7, 4, 7, 7, 8, 7, 7, 0, 4, 3, 0, 4], [0, 2, 0, 0, 8, 0, 0, 7, 7, 6, 0, 0, 8, 0, 4, 0, 0, 8, 0, 0, 0, 4, 3, 0, 4], [7, 2, 7, 7, 8, 7, 7, 7, 7, 6, 0, 0, 8, 0, 4, 0, 0, 8, 0, 0, 0, 4, 3, 0, 4], [0, 2, 0, 0, 8, 0, 0, 7, 0, 6, 0, 0, 8, 0, 4, 0, 0, 8, 0, 0, 0, 4, 3, 0, 4], [7, 2, 7, 7, 8, 7, 7, 7, 0, 6, 0, 0, 8, 0, 4, 0, 0, 8, 0, 0, 0, 4, 3, 0, 4], [3, 2, 3, 3, 8, 3, 3, 3, 3, 6, 3, 3, 8, 3, 4, 3, 3, 8, 3, 3, 3, 4, 3, 0, 4], [9, 2, 9, 9, 8, 9, 9, 9, 9, 6, 0, 0, 8, 0, 4, 0, 0, 8, 0, 0, 0, 4, 0, 0, 4], [5, 2, 5, 5, 8, 5, 5, 5, 5, 6, 5, 5, 8, 5, 4, 5, 5, 8, 5, 5, 5, 5, 5, 5, 4], [4, 2, 4, 4, 8, 4, 4, 4, 4, 6, 4, 4, 8, 4, 4, 0, 0, 8, 0, 0, 0, 0, 0, 0, 4], [8, 2, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 4], [8, 2, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4], [4, 2, 4, 4, 8, 4, 4, 4, 4, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 2, 0, 0, 8, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 0, 0, 8, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 2, 0, 0, 8, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [8, 8, 8, 8, 8, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 7, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0], [0, 9, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[3, 2, 4, 3, 8, 0, 9, 7, 7, 6, 0, 0, 8, 0, 4, 8, 0, 8, 8, 7, 5, 4, 3, 1, 4], [3, 2, 4, 3, 8, 3, 9, 7, 7, 6, 3, 3, 8, 3, 4, 8, 0, 8, 8, 7, 5, 4, 3, 1, 4], [4, 2, 4, 0, 8, 0, 9, 7, 7, 6, 0, 0, 8, 0, 4, 8, 0, 8, 8, 7, 5, 4, 3, 1, 4], [5, 2, 5, 5, 8, 5, 9, 7, 7, 6, 5, 5, 8, 5, 4, 8, 5, 8, 5, 7, 5, 4, 3, 1, 4], [1, 2, 1, 1, 8, 1, 9, 7, 7, 6, 1, 1, 8, 1, 4, 8, 1, 8, 1, 7, 5, 4, 3, 1, 4], [5, 2, 5, 5, 8, 5, 9, 7, 7, 6, 5, 5, 8, 5, 4, 8, 5, 8, 5, 7, 5, 4, 3, 0, 4], [4, 2, 4, 4, 8, 4, 4, 7, 7, 6, 4, 4, 8, 4, 4, 8, 4, 8, 0, 7, 0, 4, 3, 0, 4], [7, 2, 7, 7, 8, 7, 7, 7, 7, 6, 7, 7, 8, 7, 4, 7, 7, 8, 7, 7, 0, 4, 3, 0, 4], [0, 2, 0, 0, 8, 0, 0, 7, 7, 6, 0, 0, 8, 0, 4, 0, 0, 8, 0, 0, 0, 4, 3, 0, 4], [7, 2, 7, 7, 8, 7, 7, 7, 7, 6, 0, 0, 8, 0, 4, 0, 0, 8, 0, 0, 0, 4, 3, 0, 4], [0, 2, 0, 0, 8, 0, 0, 7, 0, 6, 0, 0, 8, 0, 4, 0, 0, 8, 0, 0, 0, 4, 3, 0, 4], [7, 2, 7, 7, 8, 7, 7, 7, 0, 6, 0, 0, 8, 0, 4, 0, 0, 8, 0, 0, 0, 4, 3, 0, 4], [3, 2, 3, 3, 8, 3, 3, 3, 3, 6, 3, 3, 8, 3, 4, 3, 3, 8, 3, 3, 3, 4, 3, 0, 4], [9, 2, 9, 9, 8, 9, 9, 9, 9, 6, 0, 0, 8, 0, 4, 0, 0, 8, 0, 0, 0, 4, 0, 0, 4], [5, 2, 5, 5, 8, 5, 5, 5, 5, 6, 5, 5, 8, 5, 4, 5, 5, 8, 5, 5, 5, 5, 5, 5, 4], [4, 2, 4, 4, 8, 4, 4, 4, 4, 6, 4, 4, 8, 4, 4, 0, 0, 8, 0, 0, 0, 0, 0, 0, 4], [8, 2, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 4], [8, 2, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4], [4, 2, 4, 4, 8, 4, 4, 4, 4, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 2, 0, 0, 8, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 0, 0, 8, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 2, 0, 0, 8, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [8, 8, 8, 8, 8, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0], [0, 9, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> ",
+                "test": {
+                    "input": [
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+                    ],
+                    "output": [
+                        [
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+            },
+            "Replicate 4": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 3], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[1, 6, 4, 0, 8, 0, 3, 0, 0, 1, 6, 0, 9, 7, 0, 0, 0, 8, 7, 0, 2, 0, 3, 0, 1], [1, 6, 4, 0, 8, 0, 3, 0, 0, 1, 6, 0, 9, 7, 0, 0, 0, 8, 7, 0, 2, 0, 3, 0, 1], [1, 6, 4, 0, 8, 0, 3, 0, 0, 1, 6, 0, 9, 7, 0, 0, 0, 8, 7, 0, 2, 0, 3, 0, 1], [1, 6, 4, 5, 8, 5, 3, 5, 5, 1, 6, 5, 9, 7, 0, 0, 0, 8, 7, 0, 2, 0, 3, 0, 1], [1, 6, 4, 0, 8, 0, 3, 0, 0, 1, 6, 0, 9, 7, 0, 0, 0, 8, 7, 0, 2, 0, 3, 0, 1], [1, 6, 4, 0, 8, 0, 3, 0, 0, 1, 6, 0, 9, 7, 0, 0, 0, 8, 7, 0, 2, 0, 3, 0, 1], [1, 6, 4, 8, 8, 0, 3, 0, 0, 1, 6, 0, 9, 7, 0, 0, 0, 8, 7, 0, 2, 0, 3, 0, 1], [1, 6, 4, 0, 0, 0, 3, 0, 0, 1, 6, 0, 9, 7, 0, 0, 0, 8, 7, 0, 2, 0, 3, 0, 1], [1, 6, 4, 1, 1, 1, 3, 1, 1, 1, 6, 1, 9, 7, 1, 1, 1, 8, 7, 1, 2, 1, 3, 0, 1], [1, 6, 4, 0, 0, 0, 3, 0, 0, 1, 6, 0, 9, 7, 0, 0, 0, 8, 7, 0, 2, 0, 3, 0, 1], [1, 6, 4, 3, 3, 3, 3, 3, 3, 1, 6, 3, 9, 7, 3, 3, 3, 8, 7, 3, 3, 3, 3, 3, 1], [1, 6, 4, 0, 0, 0, 3, 0, 0, 1, 6, 0, 9, 7, 0, 0, 0, 8, 7, 0, 0, 0, 3, 0, 1], [0, 6, 4, 0, 0, 0, 3, 0, 0, 1, 6, 0, 9, 7, 0, 0, 0, 8, 7, 0, 0, 0, 3, 0, 1], [2, 6, 2, 2, 2, 2, 3, 2, 2, 1, 6, 2, 9, 7, 2, 2, 2, 8, 7, 0, 0, 0, 3, 0, 1], [7, 6, 7, 7, 7, 7, 7, 7, 7, 1, 6, 7, 9, 7, 0, 0, 0, 8, 7, 0, 0, 0, 3, 0, 1], [3, 6, 3, 3, 3, 3, 3, 3, 3, 1, 6, 3, 9, 3, 3, 3, 3, 8, 7, 3, 3, 3, 3, 0, 1], [0, 6, 0, 0, 0, 0, 0, 0, 0, 1, 6, 0, 9, 0, 0, 0, 0, 8, 7, 0, 0, 0, 0, 0, 1], [7, 6, 0, 0, 0, 0, 0, 0, 0, 1, 6, 0, 9, 0, 0, 0, 0, 8, 7, 0, 0, 0, 0, 0, 1], [0, 6, 0, 0, 0, 0, 0, 0, 0, 1, 6, 0, 9, 0, 0, 0, 0, 8, 7, 0, 0, 0, 0, 0, 1], [8, 6, 8, 8, 8, 8, 8, 8, 8, 1, 6, 8, 9, 8, 8, 8, 8, 8, 7, 0, 0, 0, 0, 0, 1], [1, 6, 1, 1, 1, 1, 1, 1, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 6, 0, 0, 0, 0, 0, 0, 0, 1, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 0, 0, 1, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 6, 1, 1, 1, 1, 1, 1, 1, 1, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 9, 0, 0, 6, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 6, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 4, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[6, 3, 4, 8, 3, 3, 7, 1, 4, 0, 5, 3, 2, 6, 9, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 2, 4, 8, 2, 2, 7, 1, 4, 2, 5, 3, 2, 6, 9, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 0, 4, 8, 0, 0, 7, 1, 4, 0, 5, 3, 2, 6, 9, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 0, 4, 8, 0, 0, 7, 1, 4, 0, 5, 3, 2, 6, 9, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 6, 4, 8, 6, 6, 7, 1, 4, 6, 5, 3, 2, 6, 6, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 6, 4, 6, 6, 6, 7, 1, 4, 6, 5, 3, 2, 6, 6, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 3, 4, 3, 3, 3, 7, 1, 4, 3, 5, 3, 2, 6, 0, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 7, 4, 7, 7, 7, 7, 1, 7, 7, 5, 3, 2, 7, 7, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 6, 4, 6, 6, 6, 7, 1, 6, 6, 5, 6, 2, 6, 6, 3, 9, 0, 6, 9, 0, 0, 3, 0, 1], [6, 0, 4, 0, 0, 0, 7, 1, 0, 0, 5, 0, 2, 0, 0, 3, 9, 0, 6, 9, 0, 0, 3, 0, 1], [6, 6, 4, 6, 6, 6, 7, 6, 6, 6, 5, 6, 2, 6, 6, 3, 9, 6, 6, 9, 0, 0, 3, 0, 1], [6, 6, 4, 6, 6, 6, 7, 6, 6, 6, 5, 6, 6, 6, 6, 3, 9, 6, 6, 9, 6, 6, 3, 6, 1], [6, 9, 4, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 3, 9, 0, 0, 9, 0, 0, 3, 0, 1], [6, 0, 4, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 9, 0, 0, 3, 0, 1], [6, 0, 4, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 9, 0, 0, 3, 0, 1], [6, 5, 4, 5, 5, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 9, 0, 0, 3, 0, 1], [6, 7, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 9, 0, 0, 3, 0, 1], [6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 9, 1, 1, 3, 1, 1], [6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 9, 0, 0, 3, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 3, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 3, 0, 0], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 7, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0], [0, 9, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[3, 2, 4, 3, 8, 0, 9, 7, 7, 6, 0, 0, 8, 0, 4, 8, 0, 8, 8, 7, 5, 4, 3, 1, 4], [3, 2, 4, 3, 8, 3, 9, 7, 7, 6, 3, 3, 8, 3, 4, 8, 0, 8, 8, 7, 5, 4, 3, 1, 4], [4, 2, 4, 0, 8, 0, 9, 7, 7, 6, 0, 0, 8, 0, 4, 8, 0, 8, 8, 7, 5, 4, 3, 1, 4], [5, 2, 5, 5, 8, 5, 9, 7, 7, 6, 5, 5, 8, 5, 4, 8, 5, 8, 5, 7, 5, 4, 3, 1, 4], [1, 2, 1, 1, 8, 1, 9, 7, 7, 6, 1, 1, 8, 1, 4, 8, 1, 8, 1, 7, 5, 4, 3, 1, 4], [5, 2, 5, 5, 8, 5, 9, 7, 7, 6, 5, 5, 8, 5, 4, 8, 5, 8, 5, 7, 5, 4, 3, 0, 4], [4, 2, 4, 4, 8, 4, 4, 7, 7, 6, 4, 4, 8, 4, 4, 8, 4, 8, 0, 7, 0, 4, 3, 0, 4], [7, 2, 7, 7, 8, 7, 7, 7, 7, 6, 7, 7, 8, 7, 4, 7, 7, 8, 7, 7, 0, 4, 3, 0, 4], [0, 2, 0, 0, 8, 0, 0, 7, 7, 6, 0, 0, 8, 0, 4, 0, 0, 8, 0, 0, 0, 4, 3, 0, 4], [7, 2, 7, 7, 8, 7, 7, 7, 7, 6, 0, 0, 8, 0, 4, 0, 0, 8, 0, 0, 0, 4, 3, 0, 4], [0, 2, 0, 0, 8, 0, 0, 7, 0, 6, 0, 0, 8, 0, 4, 0, 0, 8, 0, 0, 0, 4, 3, 0, 4], [7, 2, 7, 7, 8, 7, 7, 7, 0, 6, 0, 0, 8, 0, 4, 0, 0, 8, 0, 0, 0, 4, 3, 0, 4], [3, 2, 3, 3, 8, 3, 3, 3, 3, 6, 3, 3, 8, 3, 4, 3, 3, 8, 3, 3, 3, 4, 3, 0, 4], [9, 2, 9, 9, 8, 9, 9, 9, 9, 6, 0, 0, 8, 0, 4, 0, 0, 8, 0, 0, 0, 4, 0, 0, 4], [5, 2, 5, 5, 8, 5, 5, 5, 5, 6, 5, 5, 8, 5, 4, 5, 5, 8, 5, 5, 5, 5, 5, 5, 4], [4, 2, 4, 4, 8, 4, 4, 4, 4, 6, 4, 4, 8, 4, 4, 0, 0, 8, 0, 0, 0, 0, 0, 0, 4], [8, 2, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 4], [8, 2, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4], [4, 2, 4, 4, 8, 4, 4, 4, 4, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 2, 0, 0, 8, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 0, 0, 8, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 2, 0, 0, 8, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [8, 8, 8, 8, 8, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 7, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0], [0, 9, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
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+            }
+        },
+        "L3": {
+            "Replicate 0": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [6, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 7, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0], [0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[6, 2, 5, 7, 3, 0, 0, 1, 0, 9, 0, 7, 3, 0, 0, 3, 2, 2, 5, 3, 3, 6, 0, 0, 1], [6, 2, 5, 7, 3, 3, 3, 1, 3, 9, 3, 7, 3, 3, 3, 3, 2, 2, 5, 3, 3, 6, 3, 3, 1], [6, 2, 5, 7, 3, 0, 0, 1, 0, 9, 0, 7, 3, 0, 0, 3, 2, 2, 5, 3, 3, 6, 0, 0, 1], [6, 2, 5, 7, 3, 0, 0, 1, 0, 9, 0, 7, 3, 0, 0, 3, 2, 2, 5, 3, 3, 6, 0, 0, 1], [6, 2, 5, 7, 3, 2, 2, 1, 2, 9, 2, 7, 3, 2, 2, 3, 2, 2, 5, 3, 3, 6, 0, 0, 1], [6, 2, 5, 7, 3, 0, 0, 1, 0, 9, 0, 7, 3, 0, 0, 3, 2, 0, 5, 3, 3, 6, 0, 0, 1], [6, 2, 5, 7, 3, 2, 2, 1, 2, 9, 2, 7, 3, 2, 2, 3, 2, 2, 5, 3, 3, 6, 0, 0, 1], [2, 2, 5, 7, 3, 0, 0, 1, 0, 9, 0, 7, 3, 0, 0, 3, 2, 0, 5, 3, 3, 6, 0, 0, 1], [0, 0, 5, 7, 3, 0, 0, 1, 0, 9, 0, 7, 3, 0, 0, 3, 2, 0, 5, 3, 3, 6, 0, 0, 1], [1, 1, 5, 7, 3, 1, 1, 1, 1, 9, 1, 7, 3, 1, 1, 3, 2, 1, 5, 3, 3, 6, 1, 1, 1], [2, 2, 5, 7, 3, 2, 2, 1, 2, 9, 2, 7, 3, 2, 2, 3, 2, 0, 5, 3, 3, 6, 0, 0, 0], [3, 3, 5, 7, 3, 3, 3, 1, 3, 9, 3, 7, 3, 0, 0, 3, 0, 0, 5, 3, 3, 6, 0, 0, 0], [0, 0, 5, 7, 3, 0, 0, 1, 0, 9, 0, 7, 0, 0, 0, 3, 0, 0, 5, 3, 3, 6, 0, 0, 0], [0, 0, 5, 7, 3, 0, 0, 1, 0, 9, 0, 7, 0, 0, 0, 3, 0, 0, 5, 3, 3, 6, 0, 0, 0], [0, 0, 5, 7, 3, 0, 0, 1, 0, 9, 0, 7, 0, 0, 0, 3, 0, 0, 5, 3, 3, 6, 0, 0, 0], [0, 0, 5, 7, 3, 0, 0, 1, 0, 9, 0, 7, 0, 0, 0, 3, 0, 0, 5, 3, 3, 6, 0, 0, 0], [4, 4, 5, 4, 3, 4, 4, 1, 0, 9, 0, 7, 0, 0, 0, 3, 0, 0, 5, 3, 3, 6, 0, 0, 0], [1, 1, 5, 1, 3, 1, 1, 1, 0, 9, 0, 7, 0, 0, 0, 3, 0, 0, 5, 3, 3, 6, 0, 0, 0], [3, 3, 5, 3, 3, 3, 3, 3, 3, 9, 3, 7, 3, 3, 3, 3, 3, 3, 5, 3, 3, 6, 0, 0, 0], [7, 7, 7, 7, 3, 7, 7, 7, 7, 9, 7, 7, 0, 0, 0, 3, 0, 0, 5, 3, 3, 6, 0, 0, 0], [3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 5, 3, 3, 6, 0, 0, 0], [3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 6, 0, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 6, 0, 0, 0], [6, 6, 6, 6, 3, 6, 6, 6, 6, 9, 6, 6, 6, 6, 6, 3, 6, 6, 6, 6, 6, 6, 0, 0, 0], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [6, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0], [0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[6, 2, 5, 7, 3, 0, 0, 1, 0, 9, 0, 7, 3, 0, 0, 3, 2, 2, 5, 3, 3, 6, 0, 0, 1], [6, 2, 5, 7, 3, 3, 3, 1, 3, 9, 3, 7, 3, 3, 3, 3, 2, 2, 5, 3, 3, 6, 3, 3, 1], [6, 2, 5, 7, 3, 0, 0, 1, 0, 9, 0, 7, 3, 0, 0, 3, 2, 2, 5, 3, 3, 6, 0, 0, 1], [6, 2, 5, 7, 3, 0, 0, 1, 0, 9, 0, 7, 3, 0, 0, 3, 2, 2, 5, 3, 3, 6, 0, 0, 1], [6, 2, 5, 7, 3, 2, 2, 1, 2, 9, 2, 7, 3, 2, 2, 3, 2, 2, 5, 3, 3, 6, 0, 0, 1], [6, 2, 5, 7, 3, 0, 0, 1, 0, 9, 0, 7, 3, 0, 0, 3, 2, 0, 5, 3, 3, 6, 0, 0, 1], [6, 2, 5, 7, 3, 2, 2, 1, 2, 9, 2, 7, 3, 2, 2, 3, 2, 2, 5, 3, 3, 6, 0, 0, 1], [2, 2, 5, 7, 3, 0, 0, 1, 0, 9, 0, 7, 3, 0, 0, 3, 2, 0, 5, 3, 3, 6, 0, 0, 1], [0, 0, 5, 7, 3, 0, 0, 1, 0, 9, 0, 7, 3, 0, 0, 3, 2, 0, 5, 3, 3, 6, 0, 0, 1], [1, 1, 5, 7, 3, 1, 1, 1, 1, 9, 1, 7, 3, 1, 1, 3, 2, 1, 5, 3, 3, 6, 1, 1, 1], [2, 2, 5, 7, 3, 2, 2, 1, 2, 9, 2, 7, 3, 2, 2, 3, 2, 0, 5, 3, 3, 6, 0, 0, 0], [3, 3, 5, 7, 3, 3, 3, 1, 3, 9, 3, 7, 3, 0, 0, 3, 0, 0, 5, 3, 3, 6, 0, 0, 0], [0, 0, 5, 7, 3, 0, 0, 1, 0, 9, 0, 7, 0, 0, 0, 3, 0, 0, 5, 3, 3, 6, 0, 0, 0], [0, 0, 5, 7, 3, 0, 0, 1, 0, 9, 0, 7, 0, 0, 0, 3, 0, 0, 5, 3, 3, 6, 0, 0, 0], [0, 0, 5, 7, 3, 0, 0, 1, 0, 9, 0, 7, 0, 0, 0, 3, 0, 0, 5, 3, 3, 6, 0, 0, 0], [0, 0, 5, 7, 3, 0, 0, 1, 0, 9, 0, 7, 0, 0, 0, 3, 0, 0, 5, 3, 3, 6, 0, 0, 0], [7, 7, 5, 7, 3, 0, 0, 1, 0, 9, 0, 7, 0, 0, 0, 3, 0, 0, 5, 3, 3, 6, 0, 0, 0], [1, 1, 5, 1, 3, 1, 1, 1, 0, 9, 0, 7, 0, 0, 0, 3, 0, 0, 5, 3, 3, 6, 0, 0, 0], [3, 3, 5, 3, 3, 3, 3, 3, 3, 9, 3, 7, 3, 3, 3, 3, 3, 3, 5, 3, 3, 6, 0, 0, 0], [7, 7, 7, 7, 3, 7, 7, 7, 7, 9, 7, 7, 0, 0, 0, 3, 0, 0, 5, 3, 3, 6, 0, 0, 0], [3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 5, 3, 3, 6, 0, 0, 0], [3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 6, 0, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 6, 0, 0, 0], [6, 6, 6, 6, 3, 6, 6, 6, 6, 9, 6, 6, 6, 6, 6, 3, 6, 6, 6, 6, 6, 6, 0, 0, 0], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [6, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 7, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0], [0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[6, 2, 5, 7, 3, 0, 0, 1, 0, 9, 0, 7, 3, 0, 0, 3, 2, 2, 5, 3, 3, 6, 0, 0, 1], [6, 2, 5, 7, 3, 3, 3, 1, 3, 9, 3, 7, 3, 3, 3, 3, 2, 2, 5, 3, 3, 6, 3, 3, 1], [6, 2, 5, 7, 3, 0, 0, 1, 0, 9, 0, 7, 3, 0, 0, 3, 2, 2, 5, 3, 3, 6, 0, 0, 1], [6, 2, 5, 7, 3, 0, 0, 1, 0, 9, 0, 7, 3, 0, 0, 3, 2, 2, 5, 3, 3, 6, 0, 0, 1], [6, 2, 5, 7, 3, 2, 2, 1, 2, 9, 2, 7, 3, 2, 2, 3, 2, 2, 5, 3, 3, 6, 0, 0, 1], [6, 2, 5, 7, 3, 0, 0, 1, 0, 9, 0, 7, 3, 0, 0, 3, 2, 0, 5, 3, 3, 6, 0, 0, 1], [6, 2, 5, 7, 3, 2, 2, 1, 2, 9, 2, 7, 3, 2, 2, 3, 2, 2, 5, 3, 3, 6, 0, 0, 1], [2, 2, 5, 7, 3, 0, 0, 1, 0, 9, 0, 7, 3, 0, 0, 3, 2, 0, 5, 3, 3, 6, 0, 0, 1], [0, 0, 5, 7, 3, 0, 0, 1, 0, 9, 0, 7, 3, 0, 0, 3, 2, 0, 5, 3, 3, 6, 0, 0, 1], [1, 1, 5, 7, 3, 1, 1, 1, 1, 9, 1, 7, 3, 1, 1, 3, 2, 1, 5, 3, 3, 6, 1, 1, 1], [2, 2, 5, 7, 3, 2, 2, 1, 2, 9, 2, 7, 3, 2, 2, 3, 2, 0, 5, 3, 3, 6, 0, 0, 0], [3, 3, 5, 7, 3, 3, 3, 1, 3, 9, 3, 7, 3, 0, 0, 3, 0, 0, 5, 3, 3, 6, 0, 0, 0], [0, 0, 5, 7, 3, 0, 0, 1, 0, 9, 0, 7, 0, 0, 0, 3, 0, 0, 5, 3, 3, 6, 0, 0, 0], [0, 0, 5, 7, 3, 0, 0, 1, 0, 9, 0, 7, 0, 0, 0, 3, 0, 0, 5, 3, 3, 6, 0, 0, 0], [0, 0, 5, 7, 3, 0, 0, 1, 0, 9, 0, 7, 0, 0, 0, 3, 0, 0, 5, 3, 3, 6, 0, 0, 0], [0, 0, 5, 7, 3, 0, 0, 1, 0, 9, 0, 7, 0, 0, 0, 3, 0, 0, 5, 3, 3, 6, 0, 0, 0], [4, 4, 5, 4, 3, 4, 4, 1, 0, 9, 0, 7, 0, 0, 0, 3, 0, 0, 5, 3, 3, 6, 0, 0, 0], [1, 1, 5, 1, 3, 1, 1, 1, 0, 9, 0, 7, 0, 0, 0, 3, 0, 0, 5, 3, 3, 6, 0, 0, 0], [3, 3, 5, 3, 3, 3, 3, 3, 3, 9, 3, 7, 3, 3, 3, 3, 3, 3, 5, 3, 3, 6, 0, 0, 0], [7, 7, 7, 7, 3, 7, 7, 7, 7, 9, 7, 7, 0, 0, 0, 3, 0, 0, 5, 3, 3, 6, 0, 0, 0], [3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 5, 3, 3, 6, 0, 0, 0], [3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 6, 0, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 6, 0, 0, 0], [6, 6, 6, 6, 3, 6, 6, 6, 6, 9, 6, 6, 6, 6, 6, 3, 6, 6, 6, 6, 6, 6, 0, 0, 0], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [6, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0], [0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[6, 2, 5, 1, 3, 0, 0, 1, 0, 9, 0, 0, 3, 0, 0, 3, 2, 2, 5, 3, 3, 6, 0, 0, 1], [6, 2, 5, 3, 3, 3, 3, 1, 3, 9, 3, 3, 3, 3, 3, 3, 2, 2, 5, 3, 3, 6, 3, 3, 1], [6, 2, 5, 0, 3, 0, 0, 1, 0, 9, 0, 0, 3, 0, 0, 3, 2, 2, 5, 3, 3, 6, 0, 0, 1], [6, 2, 5, 0, 3, 0, 0, 1, 0, 9, 0, 0, 3, 0, 0, 3, 2, 2, 5, 3, 3, 6, 0, 0, 1], [6, 2, 5, 2, 3, 2, 2, 1, 2, 9, 2, 2, 3, 2, 2, 3, 2, 2, 5, 3, 3, 6, 0, 0, 1], [6, 2, 5, 0, 3, 0, 0, 1, 0, 9, 0, 0, 3, 0, 0, 3, 2, 0, 5, 3, 3, 6, 0, 0, 1], [6, 2, 5, 2, 3, 2, 2, 1, 2, 9, 2, 2, 3, 2, 2, 3, 2, 2, 5, 3, 3, 6, 0, 0, 1], [2, 2, 5, 0, 3, 0, 0, 1, 0, 9, 0, 0, 3, 0, 0, 3, 2, 0, 5, 3, 3, 6, 0, 0, 1], [0, 0, 5, 0, 3, 0, 0, 1, 0, 9, 0, 0, 3, 0, 0, 3, 2, 0, 5, 3, 3, 6, 0, 0, 1], [1, 1, 5, 1, 3, 1, 1, 1, 1, 9, 1, 1, 3, 1, 1, 3, 2, 1, 5, 3, 3, 6, 1, 1, 1], [2, 2, 5, 2, 3, 2, 2, 1, 2, 9, 2, 2, 3, 2, 2, 3, 2, 0, 5, 3, 3, 6, 0, 0, 0], [3, 3, 5, 3, 3, 3, 3, 1, 3, 9, 3, 3, 3, 0, 0, 3, 0, 0, 5, 3, 3, 6, 0, 0, 0], [0, 0, 5, 0, 3, 0, 0, 1, 0, 9, 0, 0, 0, 0, 0, 3, 0, 0, 5, 3, 3, 6, 0, 0, 0], [0, 0, 5, 0, 3, 0, 0, 1, 0, 9, 0, 0, 0, 0, 0, 3, 0, 0, 5, 3, 3, 6, 0, 0, 0], [0, 0, 5, 0, 3, 0, 0, 1, 0, 9, 0, 0, 0, 0, 0, 3, 0, 0, 5, 3, 3, 6, 0, 0, 0], [0, 0, 5, 0, 3, 0, 0, 1, 0, 9, 0, 0, 0, 0, 0, 3, 0, 0, 5, 3, 3, 6, 0, 0, 0], [4, 4, 5, 4, 3, 4, 4, 1, 0, 9, 0, 0, 0, 0, 0, 3, 0, 0, 5, 3, 3, 6, 0, 0, 0], [1, 1, 5, 1, 3, 1, 1, 1, 0, 9, 0, 0, 0, 0, 0, 3, 0, 0, 5, 3, 3, 6, 0, 0, 0], [3, 3, 5, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 5, 3, 3, 6, 0, 0, 0], [5, 5, 5, 0, 3, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 3, 0, 0, 5, 3, 3, 6, 0, 0, 0], [3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 5, 3, 3, 6, 0, 0, 0], [3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 6, 0, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 6, 0, 0, 0], [6, 6, 6, 6, 3, 6, 6, 6, 6, 9, 6, 6, 6, 6, 6, 3, 6, 6, 6, 6, 6, 6, 0, 0, 0], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 7, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0], [0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
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+            },
+            "Replicate 1": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 3], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[1, 6, 4, 0, 8, 0, 3, 0, 0, 1, 6, 0, 9, 7, 0, 0, 0, 8, 7, 0, 2, 0, 3, 0, 1], [1, 6, 4, 0, 8, 0, 3, 0, 0, 1, 6, 0, 9, 7, 0, 0, 0, 8, 7, 0, 2, 0, 3, 0, 1], [1, 6, 4, 0, 8, 0, 3, 0, 0, 1, 6, 0, 9, 7, 0, 0, 0, 8, 7, 0, 2, 0, 3, 0, 1], [1, 6, 4, 5, 8, 5, 3, 5, 5, 1, 6, 5, 9, 7, 0, 0, 0, 8, 7, 0, 2, 0, 3, 0, 1], [1, 6, 4, 0, 8, 0, 3, 0, 0, 1, 6, 0, 9, 7, 0, 0, 0, 8, 7, 0, 2, 0, 3, 0, 1], [1, 6, 4, 0, 8, 0, 3, 0, 0, 1, 6, 0, 9, 7, 0, 0, 0, 8, 7, 0, 2, 0, 3, 0, 1], [1, 6, 4, 8, 8, 0, 3, 0, 0, 1, 6, 0, 9, 7, 0, 0, 0, 8, 7, 0, 2, 0, 3, 0, 1], [1, 6, 4, 0, 0, 0, 3, 0, 0, 1, 6, 0, 9, 7, 0, 0, 0, 8, 7, 0, 2, 0, 3, 0, 1], [1, 6, 4, 1, 1, 1, 3, 1, 1, 1, 6, 1, 9, 7, 1, 1, 1, 8, 7, 1, 2, 1, 3, 0, 1], [1, 6, 4, 0, 0, 0, 3, 0, 0, 1, 6, 0, 9, 7, 0, 0, 0, 8, 7, 0, 2, 0, 3, 0, 1], [1, 6, 4, 3, 3, 3, 3, 3, 3, 1, 6, 3, 9, 7, 3, 3, 3, 8, 7, 3, 3, 3, 3, 3, 1], [1, 6, 4, 0, 0, 0, 3, 0, 0, 1, 6, 0, 9, 7, 0, 0, 0, 8, 7, 0, 0, 0, 3, 0, 1], [0, 6, 4, 0, 0, 0, 3, 0, 0, 1, 6, 0, 9, 7, 0, 0, 0, 8, 7, 0, 0, 0, 3, 0, 1], [2, 6, 2, 2, 2, 2, 3, 2, 2, 1, 6, 2, 9, 7, 2, 2, 2, 8, 7, 0, 0, 0, 3, 0, 1], [7, 6, 7, 7, 7, 7, 7, 7, 7, 1, 6, 7, 9, 7, 0, 0, 0, 8, 7, 0, 0, 0, 3, 0, 1], [3, 6, 3, 3, 3, 3, 3, 3, 3, 1, 6, 3, 9, 3, 3, 3, 3, 8, 7, 3, 3, 3, 3, 0, 1], [0, 6, 0, 0, 0, 0, 0, 0, 0, 1, 6, 0, 9, 0, 0, 0, 0, 8, 7, 0, 0, 0, 0, 0, 1], [7, 6, 0, 0, 0, 0, 0, 0, 0, 1, 6, 0, 9, 0, 0, 0, 0, 8, 7, 0, 0, 0, 0, 0, 1], [0, 6, 0, 0, 0, 0, 0, 0, 0, 1, 6, 0, 9, 0, 0, 0, 0, 8, 7, 0, 0, 0, 0, 0, 1], [8, 6, 8, 8, 8, 8, 8, 8, 8, 1, 6, 8, 9, 8, 8, 8, 8, 8, 7, 0, 0, 0, 0, 0, 1], [1, 6, 1, 1, 1, 1, 1, 1, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 6, 0, 0, 0, 0, 0, 0, 0, 1, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 0, 0, 1, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 6, 1, 1, 1, 1, 1, 1, 1, 1, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[1, 6, 4, 0, 8, 0, 3, 0, 0, 1, 6, 0, 9, 7, 0, 0, 0, 8, 7, 0, 0, 0, 3, 0, 1], [1, 6, 4, 0, 8, 0, 3, 0, 0, 1, 6, 0, 9, 7, 0, 0, 0, 8, 7, 0, 0, 0, 3, 0, 1], [1, 6, 4, 0, 8, 0, 3, 0, 0, 1, 6, 0, 9, 7, 0, 0, 0, 8, 7, 0, 0, 0, 3, 0, 1], [1, 6, 4, 5, 8, 5, 3, 5, 5, 1, 6, 5, 9, 7, 0, 0, 0, 8, 7, 0, 0, 0, 3, 0, 1], [1, 6, 4, 0, 8, 0, 3, 0, 0, 1, 6, 0, 9, 7, 0, 0, 0, 8, 7, 0, 0, 0, 3, 0, 1], [1, 6, 4, 0, 8, 0, 3, 0, 0, 1, 6, 0, 9, 7, 0, 0, 0, 8, 7, 0, 0, 0, 3, 0, 1], [1, 6, 4, 8, 8, 0, 3, 0, 0, 1, 6, 0, 9, 7, 0, 0, 0, 8, 7, 0, 0, 0, 3, 0, 1], [1, 6, 4, 0, 0, 0, 3, 0, 0, 1, 6, 0, 9, 7, 0, 0, 0, 8, 7, 0, 0, 0, 3, 0, 1], [1, 6, 4, 1, 1, 1, 3, 1, 1, 1, 6, 1, 9, 7, 1, 1, 1, 8, 7, 1, 1, 1, 3, 0, 1], [1, 6, 4, 0, 0, 0, 3, 0, 0, 1, 6, 0, 9, 7, 0, 0, 0, 8, 7, 0, 0, 0, 3, 0, 1], [1, 6, 4, 3, 3, 3, 3, 3, 3, 1, 6, 3, 9, 7, 3, 3, 3, 8, 7, 3, 3, 3, 3, 3, 1], [1, 6, 4, 0, 0, 0, 3, 0, 0, 1, 6, 0, 9, 7, 0, 0, 0, 8, 7, 0, 0, 0, 3, 0, 1], [0, 6, 4, 0, 0, 0, 3, 0, 0, 1, 6, 0, 9, 7, 0, 0, 0, 8, 7, 0, 0, 0, 3, 0, 1], [4, 6, 4, 0, 0, 0, 3, 0, 0, 1, 6, 0, 9, 7, 0, 0, 0, 8, 7, 0, 0, 0, 3, 0, 1], [7, 6, 7, 7, 7, 7, 7, 7, 7, 1, 6, 7, 9, 7, 0, 0, 0, 8, 7, 0, 0, 0, 3, 0, 1], [3, 6, 3, 3, 3, 3, 3, 3, 3, 1, 6, 3, 9, 3, 3, 3, 3, 8, 7, 3, 3, 3, 3, 0, 1], [0, 6, 0, 0, 0, 0, 0, 0, 0, 1, 6, 0, 9, 0, 0, 0, 0, 8, 7, 0, 0, 0, 0, 0, 1], [7, 6, 0, 0, 0, 0, 0, 0, 0, 1, 6, 0, 9, 0, 0, 0, 0, 8, 7, 0, 0, 0, 0, 0, 1], [0, 6, 0, 0, 0, 0, 0, 0, 0, 1, 6, 0, 9, 0, 0, 0, 0, 8, 7, 0, 0, 0, 0, 0, 1], [8, 6, 8, 8, 8, 8, 8, 8, 8, 1, 6, 8, 9, 8, 8, 8, 8, 8, 7, 0, 0, 0, 0, 0, 1], [1, 6, 1, 1, 1, 1, 1, 1, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 6, 0, 0, 0, 0, 0, 0, 0, 1, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 0, 0, 1, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 6, 1, 1, 1, 1, 1, 1, 1, 1, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 9, 0, 0, 6, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 6, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 4, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[6, 3, 4, 8, 3, 3, 7, 1, 4, 0, 5, 3, 2, 6, 9, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 2, 4, 8, 2, 2, 7, 1, 4, 2, 5, 3, 2, 6, 9, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 0, 4, 8, 0, 0, 7, 1, 4, 0, 5, 3, 2, 6, 9, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 0, 4, 8, 0, 0, 7, 1, 4, 0, 5, 3, 2, 6, 9, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 6, 4, 8, 6, 6, 7, 1, 4, 6, 5, 3, 2, 6, 6, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 6, 4, 6, 6, 6, 7, 1, 4, 6, 5, 3, 2, 6, 6, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 3, 4, 3, 3, 3, 7, 1, 4, 3, 5, 3, 2, 6, 0, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 7, 4, 7, 7, 7, 7, 1, 7, 7, 5, 3, 2, 7, 7, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 6, 4, 6, 6, 6, 7, 1, 6, 6, 5, 6, 2, 6, 6, 3, 9, 0, 6, 9, 0, 0, 3, 0, 1], [6, 0, 4, 0, 0, 0, 7, 1, 0, 0, 5, 0, 2, 0, 0, 3, 9, 0, 6, 9, 0, 0, 3, 0, 1], [6, 6, 4, 6, 6, 6, 7, 6, 6, 6, 5, 6, 2, 6, 6, 3, 9, 6, 6, 9, 0, 0, 3, 0, 1], [6, 6, 4, 6, 6, 6, 7, 6, 6, 6, 5, 6, 6, 6, 6, 3, 9, 6, 6, 9, 6, 6, 3, 6, 1], [6, 9, 4, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 3, 9, 0, 0, 9, 0, 0, 3, 0, 1], [6, 0, 4, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 9, 0, 0, 3, 0, 1], [6, 0, 4, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 9, 0, 0, 3, 0, 1], [6, 5, 4, 5, 5, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 9, 0, 0, 3, 0, 1], [6, 7, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 9, 0, 0, 3, 0, 1], [6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 9, 1, 1, 3, 1, 1], [6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 9, 0, 0, 3, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 3, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 3, 0, 0], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 9, 0, 0, 6, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[6, 3, 4, 8, 3, 3, 3, 1, 4, 0, 5, 3, 2, 6, 9, 3, 9, 0, 6, 9, 0, 0, 3, 0, 1], [6, 2, 4, 8, 2, 2, 2, 1, 4, 2, 5, 3, 2, 6, 9, 3, 9, 0, 6, 9, 0, 0, 3, 0, 1], [6, 0, 4, 8, 0, 0, 0, 1, 4, 0, 5, 3, 2, 6, 9, 3, 9, 0, 6, 9, 0, 0, 3, 0, 1], [6, 0, 4, 8, 0, 0, 0, 1, 4, 0, 5, 3, 2, 6, 9, 3, 9, 0, 6, 9, 0, 0, 3, 0, 1], [6, 6, 4, 8, 6, 6, 6, 1, 4, 6, 5, 3, 2, 6, 6, 3, 9, 6, 6, 9, 0, 0, 3, 0, 1], [6, 6, 4, 6, 6, 6, 6, 1, 4, 6, 5, 3, 2, 6, 6, 3, 9, 0, 6, 9, 0, 0, 3, 0, 1], [6, 3, 4, 3, 3, 3, 3, 1, 4, 3, 5, 3, 2, 6, 0, 3, 9, 0, 6, 9, 0, 0, 3, 0, 1], [6, 6, 4, 6, 6, 6, 6, 1, 6, 6, 5, 3, 2, 6, 0, 3, 9, 0, 6, 9, 0, 0, 3, 0, 1], [6, 6, 4, 6, 6, 6, 6, 1, 6, 6, 5, 6, 2, 6, 6, 3, 9, 0, 6, 9, 0, 0, 3, 0, 1], [6, 0, 4, 0, 0, 0, 0, 1, 0, 0, 5, 0, 2, 0, 0, 3, 9, 0, 6, 9, 0, 0, 3, 0, 1], [6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 5, 6, 2, 6, 6, 3, 9, 6, 6, 9, 0, 0, 3, 0, 1], [6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 5, 6, 6, 6, 6, 3, 9, 6, 6, 9, 6, 6, 3, 6, 1], [6, 9, 4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 3, 9, 0, 0, 9, 0, 0, 3, 0, 1], [6, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 9, 0, 0, 3, 0, 1], [6, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 9, 0, 0, 3, 0, 1], [6, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 9, 0, 0, 3, 0, 1], [6, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 9, 0, 0, 3, 0, 1], [6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 9, 1, 1, 3, 1, 1], [6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 9, 0, 0, 3, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 3, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 3, 0, 0], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 6, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 4, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> ",
+                "test": {
+                    "input": [
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+            "Replicate 2": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 9, 0, 0, 6, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 6, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 4, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[6, 3, 4, 8, 3, 3, 7, 1, 4, 0, 5, 3, 2, 6, 9, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 2, 4, 8, 2, 2, 7, 1, 4, 2, 5, 3, 2, 6, 9, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 0, 4, 8, 0, 0, 7, 1, 4, 0, 5, 3, 2, 6, 9, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 0, 4, 8, 0, 0, 7, 1, 4, 0, 5, 3, 2, 6, 9, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 6, 4, 8, 6, 6, 7, 1, 4, 6, 5, 3, 2, 6, 6, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 6, 4, 6, 6, 6, 7, 1, 4, 6, 5, 3, 2, 6, 6, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 3, 4, 3, 3, 3, 7, 1, 4, 3, 5, 3, 2, 6, 0, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 7, 4, 7, 7, 7, 7, 1, 7, 7, 5, 3, 2, 7, 7, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 6, 4, 6, 6, 6, 7, 1, 6, 6, 5, 6, 2, 6, 6, 3, 9, 0, 6, 9, 0, 0, 3, 0, 1], [6, 0, 4, 0, 0, 0, 7, 1, 0, 0, 5, 0, 2, 0, 0, 3, 9, 0, 6, 9, 0, 0, 3, 0, 1], [6, 6, 4, 6, 6, 6, 7, 6, 6, 6, 5, 6, 2, 6, 6, 3, 9, 6, 6, 9, 0, 0, 3, 0, 1], [6, 6, 4, 6, 6, 6, 7, 6, 6, 6, 5, 6, 6, 6, 6, 3, 9, 6, 6, 9, 6, 6, 3, 6, 1], [6, 9, 4, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 3, 9, 0, 0, 9, 0, 0, 3, 0, 1], [6, 0, 4, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 9, 0, 0, 3, 0, 1], [6, 0, 4, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 9, 0, 0, 3, 0, 1], [6, 5, 4, 5, 5, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 9, 0, 0, 3, 0, 1], [6, 7, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 9, 0, 0, 3, 0, 1], [6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 9, 1, 1, 3, 1, 1], [6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 9, 0, 0, 3, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 3, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 3, 0, 0], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 9, 0, 0, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 6, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 4, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[6, 3, 4, 3, 3, 3, 7, 1, 4, 0, 5, 3, 2, 6, 9, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 2, 4, 2, 2, 2, 7, 1, 4, 2, 5, 3, 2, 6, 9, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 0, 4, 0, 0, 0, 7, 1, 4, 0, 5, 3, 2, 6, 9, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 0, 4, 0, 0, 0, 7, 1, 4, 0, 5, 3, 2, 6, 9, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 6, 4, 6, 6, 6, 7, 1, 4, 6, 5, 3, 2, 6, 6, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 6, 4, 6, 6, 6, 7, 1, 4, 6, 5, 3, 2, 6, 6, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 3, 4, 3, 3, 3, 7, 1, 4, 3, 5, 3, 2, 6, 0, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 7, 4, 7, 7, 7, 7, 1, 7, 7, 5, 3, 2, 7, 7, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 6, 4, 6, 6, 6, 7, 1, 6, 6, 5, 6, 2, 6, 6, 3, 9, 0, 6, 9, 0, 0, 3, 0, 1], [6, 0, 4, 0, 0, 0, 7, 1, 0, 0, 5, 0, 2, 0, 0, 3, 9, 0, 6, 9, 0, 0, 3, 0, 1], [6, 6, 4, 6, 6, 6, 7, 6, 6, 6, 5, 6, 2, 6, 6, 3, 9, 6, 6, 9, 0, 0, 3, 0, 1], [6, 6, 4, 6, 6, 6, 7, 6, 6, 6, 5, 6, 6, 6, 6, 3, 9, 6, 6, 9, 6, 6, 3, 6, 1], [6, 9, 4, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 3, 9, 0, 0, 9, 0, 0, 3, 0, 1], [6, 0, 4, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 9, 0, 0, 3, 0, 1], [6, 0, 4, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 9, 0, 0, 3, 0, 1], [6, 5, 4, 5, 5, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 9, 0, 0, 3, 0, 1], [6, 7, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 9, 0, 0, 3, 0, 1], [6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 9, 1, 1, 3, 1, 1], [6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 9, 0, 0, 3, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 3, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 3, 0, 0], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 6, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[7, 6, 4, 4, 3, 7, 1, 4, 4, 4, 2, 9, 0, 0, 2, 0, 1, 0, 2, 2, 8, 0, 0, 7, 5], [7, 6, 5, 5, 3, 7, 1, 5, 4, 4, 2, 9, 5, 5, 2, 5, 1, 5, 2, 2, 5, 5, 5, 7, 5], [7, 6, 2, 2, 3, 7, 1, 2, 4, 4, 2, 9, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 7, 0], [7, 6, 7, 7, 3, 7, 1, 0, 4, 4, 2, 9, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 7, 0], [7, 6, 0, 0, 3, 7, 1, 0, 4, 4, 2, 9, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 7, 0], [7, 6, 7, 7, 3, 7, 1, 0, 4, 4, 2, 9, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 7, 0], [7, 6, 7, 7, 3, 7, 1, 7, 4, 4, 7, 9, 7, 7, 2, 7, 1, 7, 7, 2, 7, 7, 7, 7, 0], [2, 6, 2, 2, 3, 0, 1, 0, 4, 4, 0, 9, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0], [0, 6, 0, 0, 3, 0, 1, 0, 4, 4, 0, 9, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0], [9, 6, 9, 9, 3, 9, 1, 9, 4, 4, 9, 9, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0], [0, 6, 0, 0, 3, 0, 1, 0, 4, 4, 0, 9, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0], [1, 6, 1, 1, 3, 1, 1, 0, 4, 4, 0, 9, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0], [2, 6, 2, 2, 3, 2, 2, 2, 4, 4, 2, 9, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0], [3, 3, 3, 3, 3, 0, 0, 0, 4, 4, 0, 9, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 9, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 9, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 9, 9, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 6, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[7, 6, 4, 4, 3, 7, 1, 4, 4, 4, 2, 9, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 7, 5], [7, 6, 5, 5, 3, 7, 1, 5, 4, 4, 2, 9, 5, 5, 2, 5, 1, 5, 2, 2, 5, 5, 5, 7, 5], [7, 6, 2, 2, 3, 7, 1, 2, 4, 4, 2, 9, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 7, 0], [7, 6, 7, 7, 3, 7, 1, 0, 4, 4, 2, 9, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 7, 0], [7, 6, 0, 0, 3, 7, 1, 0, 4, 4, 2, 9, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 7, 0], [7, 6, 7, 7, 3, 7, 1, 0, 4, 4, 2, 9, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 7, 0], [7, 6, 7, 7, 3, 7, 1, 7, 4, 4, 7, 9, 7, 7, 2, 7, 1, 7, 7, 2, 7, 7, 7, 7, 0], [2, 6, 2, 2, 3, 0, 1, 0, 4, 4, 0, 9, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0], [0, 6, 0, 0, 3, 0, 1, 0, 4, 4, 0, 9, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0], [9, 6, 9, 9, 3, 9, 1, 9, 4, 4, 9, 9, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0], [0, 6, 0, 0, 3, 0, 1, 0, 4, 4, 0, 9, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0], [1, 6, 1, 1, 3, 1, 1, 0, 4, 4, 0, 9, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0], [2, 6, 2, 2, 3, 2, 2, 2, 4, 4, 2, 9, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0], [3, 3, 3, 3, 3, 0, 0, 0, 4, 4, 0, 9, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 9, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 9, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 9, 9, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 6, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> ",
+                "test": {
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+            },
+            "Replicate 3": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 9, 0, 0, 6, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 6, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 4, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[6, 3, 4, 8, 3, 3, 7, 1, 4, 0, 5, 3, 2, 6, 9, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 2, 4, 8, 2, 2, 7, 1, 4, 2, 5, 3, 2, 6, 9, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 0, 4, 8, 0, 0, 7, 1, 4, 0, 5, 3, 2, 6, 9, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 0, 4, 8, 0, 0, 7, 1, 4, 0, 5, 3, 2, 6, 9, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 6, 4, 8, 6, 6, 7, 1, 4, 6, 5, 3, 2, 6, 6, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 6, 4, 6, 6, 6, 7, 1, 4, 6, 5, 3, 2, 6, 6, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 3, 4, 3, 3, 3, 7, 1, 4, 3, 5, 3, 2, 6, 0, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 7, 4, 7, 7, 7, 7, 1, 7, 7, 5, 3, 2, 7, 7, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 6, 4, 6, 6, 6, 7, 1, 6, 6, 5, 6, 2, 6, 6, 3, 9, 0, 6, 9, 0, 0, 3, 0, 1], [6, 0, 4, 0, 0, 0, 7, 1, 0, 0, 5, 0, 2, 0, 0, 3, 9, 0, 6, 9, 0, 0, 3, 0, 1], [6, 6, 4, 6, 6, 6, 7, 6, 6, 6, 5, 6, 2, 6, 6, 3, 9, 6, 6, 9, 0, 0, 3, 0, 1], [6, 6, 4, 6, 6, 6, 7, 6, 6, 6, 5, 6, 6, 6, 6, 3, 9, 6, 6, 9, 6, 6, 3, 6, 1], [6, 9, 4, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 3, 9, 0, 0, 9, 0, 0, 3, 0, 1], [6, 0, 4, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 9, 0, 0, 3, 0, 1], [6, 0, 4, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 9, 0, 0, 3, 0, 1], [6, 5, 4, 5, 5, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 9, 0, 0, 3, 0, 1], [6, 7, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 9, 0, 0, 3, 0, 1], [6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 9, 1, 1, 3, 1, 1], [6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 9, 0, 0, 3, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 3, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 3, 0, 0], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 9, 0, 0, 6, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 6, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 4, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[6, 3, 4, 8, 3, 3, 7, 1, 4, 0, 2, 3, 2, 6, 9, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 2, 4, 8, 2, 2, 7, 1, 4, 2, 2, 3, 2, 6, 9, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 0, 4, 8, 0, 0, 7, 1, 4, 0, 0, 3, 2, 6, 9, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 0, 4, 8, 0, 0, 7, 1, 4, 0, 0, 3, 2, 6, 9, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 6, 4, 8, 6, 6, 7, 1, 4, 6, 6, 3, 2, 6, 6, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 6, 4, 6, 6, 6, 7, 1, 4, 6, 6, 3, 2, 6, 6, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 3, 4, 3, 3, 3, 7, 1, 4, 3, 3, 3, 2, 6, 0, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 7, 4, 7, 7, 7, 7, 1, 7, 7, 7, 3, 2, 7, 7, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 6, 4, 6, 6, 6, 7, 1, 6, 6, 6, 6, 2, 6, 6, 3, 9, 0, 6, 9, 0, 0, 3, 0, 1], [6, 0, 4, 0, 0, 0, 7, 1, 0, 0, 0, 0, 2, 0, 0, 3, 9, 0, 6, 9, 0, 0, 3, 0, 1], [6, 6, 4, 6, 6, 6, 7, 6, 6, 6, 6, 6, 2, 6, 6, 3, 9, 6, 6, 9, 0, 0, 3, 0, 1], [6, 6, 4, 6, 6, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 3, 9, 6, 6, 9, 6, 6, 3, 6, 1], [6, 9, 4, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 3, 9, 0, 0, 9, 0, 0, 3, 0, 1], [6, 0, 4, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 9, 0, 0, 3, 0, 1], [6, 0, 4, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 9, 0, 0, 3, 0, 1], [6, 0, 4, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 9, 0, 0, 3, 0, 1], [6, 7, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 9, 0, 0, 3, 0, 1], [6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 9, 1, 1, 3, 1, 1], [6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 9, 0, 0, 3, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 3, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 3, 0, 0], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 9, 0, 0, 6, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 6, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 4, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[6, 3, 4, 8, 3, 3, 7, 1, 4, 0, 5, 3, 2, 6, 9, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 2, 4, 8, 2, 2, 7, 1, 4, 2, 5, 3, 2, 6, 9, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 0, 4, 8, 0, 0, 7, 1, 4, 0, 5, 3, 2, 6, 9, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 0, 4, 8, 0, 0, 7, 1, 4, 0, 5, 3, 2, 6, 9, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 6, 4, 8, 6, 6, 7, 1, 4, 6, 5, 3, 2, 6, 6, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 6, 4, 6, 6, 6, 7, 1, 4, 6, 5, 3, 2, 6, 6, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 3, 4, 3, 3, 3, 7, 1, 4, 3, 5, 3, 2, 6, 0, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 7, 4, 7, 7, 7, 7, 1, 7, 7, 5, 3, 2, 7, 7, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 6, 4, 6, 6, 6, 7, 1, 6, 6, 5, 6, 2, 6, 6, 3, 9, 0, 6, 9, 0, 0, 3, 0, 1], [6, 0, 4, 0, 0, 0, 7, 1, 0, 0, 5, 0, 2, 0, 0, 3, 9, 0, 6, 9, 0, 0, 3, 0, 1], [6, 6, 4, 6, 6, 6, 7, 6, 6, 6, 5, 6, 2, 6, 6, 3, 9, 6, 6, 9, 0, 0, 3, 0, 1], [6, 6, 4, 6, 6, 6, 7, 6, 6, 6, 5, 6, 6, 6, 6, 3, 9, 6, 6, 9, 6, 6, 3, 6, 1], [6, 9, 4, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 3, 9, 0, 0, 9, 0, 0, 3, 0, 1], [6, 0, 4, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 9, 0, 0, 3, 0, 1], [6, 0, 4, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 9, 0, 0, 3, 0, 1], [6, 5, 4, 5, 5, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 9, 0, 0, 3, 0, 1], [6, 7, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 9, 0, 0, 3, 0, 1], [6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 9, 1, 1, 3, 1, 1], [6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 9, 0, 0, 3, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 3, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 3, 0, 0], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 6, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 4, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[6, 3, 4, 8, 3, 3, 7, 1, 4, 0, 5, 3, 2, 6, 0, 3, 6, 7, 6, 5, 0, 0, 3, 0, 1], [6, 2, 4, 8, 2, 2, 7, 1, 4, 2, 5, 3, 2, 6, 0, 3, 6, 7, 6, 5, 0, 0, 3, 0, 1], [6, 0, 4, 8, 0, 0, 7, 1, 4, 0, 5, 3, 2, 6, 0, 3, 6, 7, 6, 5, 0, 0, 3, 0, 1], [6, 0, 4, 8, 0, 0, 7, 1, 4, 0, 5, 3, 2, 6, 0, 3, 6, 7, 6, 5, 0, 0, 3, 0, 1], [6, 6, 4, 8, 6, 6, 7, 1, 4, 6, 5, 3, 2, 6, 6, 3, 6, 7, 6, 5, 0, 0, 3, 0, 1], [6, 6, 4, 6, 6, 6, 7, 1, 4, 6, 5, 3, 2, 6, 6, 3, 6, 7, 6, 5, 0, 0, 3, 0, 1], [6, 3, 4, 3, 3, 3, 7, 1, 4, 3, 5, 3, 2, 6, 0, 3, 6, 7, 6, 5, 0, 0, 3, 0, 1], [6, 7, 4, 7, 7, 7, 7, 1, 7, 7, 5, 3, 2, 7, 7, 3, 6, 7, 6, 5, 0, 0, 3, 0, 1], [6, 6, 4, 6, 6, 6, 7, 1, 6, 6, 5, 6, 2, 6, 6, 3, 6, 0, 6, 5, 0, 0, 3, 0, 1], [6, 0, 4, 0, 0, 0, 7, 1, 0, 0, 5, 0, 2, 0, 0, 3, 0, 0, 6, 5, 0, 0, 3, 0, 1], [6, 6, 4, 6, 6, 6, 7, 6, 6, 6, 5, 6, 2, 6, 6, 3, 6, 6, 6, 5, 0, 0, 3, 0, 1], [6, 6, 4, 6, 6, 6, 7, 6, 6, 6, 5, 6, 6, 6, 6, 3, 6, 6, 6, 5, 6, 6, 3, 6, 1], [6, 5, 4, 5, 5, 5, 7, 5, 5, 5, 5, 0, 0, 0, 0, 3, 0, 0, 0, 5, 0, 0, 3, 0, 1], [6, 0, 4, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 5, 0, 0, 3, 0, 1], [6, 0, 4, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 5, 0, 0, 3, 0, 1], [6, 5, 4, 5, 5, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 0, 0, 3, 0, 1], [6, 7, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 3, 0, 1], [6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 3, 1, 1], [6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 3, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 9, 0, 0, 6, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> ",
+                "test": {
+                    "input": [
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+                    ],
+                    "output": [
+                        [
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+            "Replicate 4": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 6, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[7, 6, 4, 4, 3, 7, 1, 4, 4, 4, 2, 9, 0, 0, 2, 0, 1, 0, 2, 2, 8, 0, 0, 7, 5], [7, 6, 5, 5, 3, 7, 1, 5, 4, 4, 2, 9, 5, 5, 2, 5, 1, 5, 2, 2, 5, 5, 5, 7, 5], [7, 6, 2, 2, 3, 7, 1, 2, 4, 4, 2, 9, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 7, 0], [7, 6, 7, 7, 3, 7, 1, 0, 4, 4, 2, 9, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 7, 0], [7, 6, 0, 0, 3, 7, 1, 0, 4, 4, 2, 9, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 7, 0], [7, 6, 7, 7, 3, 7, 1, 0, 4, 4, 2, 9, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 7, 0], [7, 6, 7, 7, 3, 7, 1, 7, 4, 4, 7, 9, 7, 7, 2, 7, 1, 7, 7, 2, 7, 7, 7, 7, 0], [2, 6, 2, 2, 3, 0, 1, 0, 4, 4, 0, 9, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0], [0, 6, 0, 0, 3, 0, 1, 0, 4, 4, 0, 9, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0], [9, 6, 9, 9, 3, 9, 1, 9, 4, 4, 9, 9, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0], [0, 6, 0, 0, 3, 0, 1, 0, 4, 4, 0, 9, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0], [1, 6, 1, 1, 3, 1, 1, 0, 4, 4, 0, 9, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0], [2, 6, 2, 2, 3, 2, 2, 2, 4, 4, 2, 9, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0], [3, 3, 3, 3, 3, 0, 0, 0, 4, 4, 0, 9, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 9, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 9, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 9, 9, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 6, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[7, 6, 4, 4, 3, 7, 1, 4, 4, 4, 2, 3, 0, 0, 2, 0, 1, 0, 2, 2, 8, 0, 0, 7, 5], [7, 6, 5, 5, 3, 7, 1, 5, 4, 4, 2, 3, 5, 5, 2, 5, 1, 5, 2, 2, 5, 5, 5, 7, 5], [7, 6, 2, 2, 3, 7, 1, 2, 4, 4, 2, 3, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 7, 0], [7, 6, 7, 7, 3, 7, 1, 0, 4, 4, 2, 3, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 7, 0], [7, 6, 0, 0, 3, 7, 1, 0, 4, 4, 2, 3, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 7, 0], [7, 6, 7, 7, 3, 7, 1, 0, 4, 4, 2, 3, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 7, 0], [7, 6, 7, 7, 3, 7, 1, 7, 4, 4, 7, 3, 7, 7, 2, 7, 1, 7, 7, 2, 7, 7, 7, 7, 0], [2, 6, 2, 2, 3, 0, 1, 0, 4, 4, 0, 3, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0], [0, 6, 0, 0, 3, 0, 1, 0, 4, 4, 0, 3, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0], [0, 6, 0, 0, 3, 0, 1, 0, 4, 4, 0, 3, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0], [0, 6, 0, 0, 3, 0, 1, 0, 4, 4, 0, 3, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0], [1, 6, 1, 1, 3, 1, 1, 0, 4, 4, 0, 3, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0], [2, 6, 2, 2, 3, 2, 2, 2, 4, 4, 2, 3, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0], [3, 3, 3, 3, 3, 0, 0, 0, 4, 4, 0, 3, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 3, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 9, 0, 0, 6, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 6, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 4, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[6, 3, 4, 8, 3, 3, 7, 1, 4, 0, 5, 3, 2, 6, 9, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 2, 4, 8, 2, 2, 7, 1, 4, 2, 5, 3, 2, 6, 9, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 0, 4, 8, 0, 0, 7, 1, 4, 0, 5, 3, 2, 6, 9, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 0, 4, 8, 0, 0, 7, 1, 4, 0, 5, 3, 2, 6, 9, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 6, 4, 8, 6, 6, 7, 1, 4, 6, 5, 3, 2, 6, 6, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 6, 4, 6, 6, 6, 7, 1, 4, 6, 5, 3, 2, 6, 6, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 3, 4, 3, 3, 3, 7, 1, 4, 3, 5, 3, 2, 6, 0, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 7, 4, 7, 7, 7, 7, 1, 7, 7, 5, 3, 2, 7, 7, 3, 9, 7, 6, 9, 0, 0, 3, 0, 1], [6, 6, 4, 6, 6, 6, 7, 1, 6, 6, 5, 6, 2, 6, 6, 3, 9, 0, 6, 9, 0, 0, 3, 0, 1], [6, 0, 4, 0, 0, 0, 7, 1, 0, 0, 5, 0, 2, 0, 0, 3, 9, 0, 6, 9, 0, 0, 3, 0, 1], [6, 6, 4, 6, 6, 6, 7, 6, 6, 6, 5, 6, 2, 6, 6, 3, 9, 6, 6, 9, 0, 0, 3, 0, 1], [6, 6, 4, 6, 6, 6, 7, 6, 6, 6, 5, 6, 6, 6, 6, 3, 9, 6, 6, 9, 6, 6, 3, 6, 1], [6, 9, 4, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 3, 9, 0, 0, 9, 0, 0, 3, 0, 1], [6, 0, 4, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 9, 0, 0, 3, 0, 1], [6, 0, 4, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 9, 0, 0, 3, 0, 1], [6, 5, 4, 5, 5, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 9, 0, 0, 3, 0, 1], [6, 7, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 9, 0, 0, 3, 0, 1], [6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 9, 1, 1, 3, 1, 1], [6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 9, 0, 0, 3, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 3, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 3, 0, 0], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 6, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 4, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[6, 3, 4, 8, 3, 3, 7, 1, 4, 0, 5, 3, 2, 6, 0, 3, 6, 7, 6, 5, 0, 0, 3, 0, 1], [6, 2, 4, 8, 2, 2, 7, 1, 4, 2, 5, 3, 2, 6, 0, 3, 6, 7, 6, 5, 0, 0, 3, 0, 1], [6, 0, 4, 8, 0, 0, 7, 1, 4, 0, 5, 3, 2, 6, 0, 3, 6, 7, 6, 5, 0, 0, 3, 0, 1], [6, 0, 4, 8, 0, 0, 7, 1, 4, 0, 5, 3, 2, 6, 0, 3, 6, 7, 6, 5, 0, 0, 3, 0, 1], [6, 6, 4, 8, 6, 6, 7, 1, 4, 6, 5, 3, 2, 6, 6, 3, 6, 7, 6, 5, 0, 0, 3, 0, 1], [6, 6, 4, 6, 6, 6, 7, 1, 4, 6, 5, 3, 2, 6, 6, 3, 6, 7, 6, 5, 0, 0, 3, 0, 1], [6, 3, 4, 3, 3, 3, 7, 1, 4, 3, 5, 3, 2, 6, 0, 3, 6, 7, 6, 5, 0, 0, 3, 0, 1], [6, 7, 4, 7, 7, 7, 7, 1, 7, 7, 5, 3, 2, 7, 7, 3, 6, 7, 6, 5, 0, 0, 3, 0, 1], [6, 6, 4, 6, 6, 6, 7, 1, 6, 6, 5, 6, 2, 6, 6, 3, 6, 0, 6, 5, 0, 0, 3, 0, 1], [6, 0, 4, 0, 0, 0, 7, 1, 0, 0, 5, 0, 2, 0, 0, 3, 0, 0, 6, 5, 0, 0, 3, 0, 1], [6, 6, 4, 6, 6, 6, 7, 6, 6, 6, 5, 6, 2, 6, 6, 3, 6, 6, 6, 5, 0, 0, 3, 0, 1], [6, 6, 4, 6, 6, 6, 7, 6, 6, 6, 5, 6, 6, 6, 6, 3, 6, 6, 6, 5, 6, 6, 3, 6, 1], [6, 5, 4, 5, 5, 5, 7, 5, 5, 5, 5, 0, 0, 0, 0, 3, 0, 0, 0, 5, 0, 0, 3, 0, 1], [6, 0, 4, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 5, 0, 0, 3, 0, 1], [6, 0, 4, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 5, 0, 0, 3, 0, 1], [6, 5, 4, 5, 5, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 0, 0, 3, 0, 1], [6, 7, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 3, 0, 1], [6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 3, 1, 1], [6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 3, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 9, 0, 0, 6, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> ",
+                "test": {
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+                    ],
+                    "output": [
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+    "SCMwoev": {
+        "L1": {
+            "Replicate 0": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 9, 0], [3, 0, 0, 0, 0, 5, 7, 0, 6, 0, 0, 0, 5, 3, 0, 0, 0, 0, 0, 0, 0, 5, 0, 7, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0], [0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 8, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0], [0, 0, 0, 1, 0, 9, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 8, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 9, 9], [3, 3, 3, 3, 3, 3, 7, 7, 6, 6, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6], [0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 8, 8], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3], [0, 0, 0, 1, 1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11], [0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 9, 0], [3, 0, 0, 0, 0, 5, 7, 0, 6, 0, 0, 0, 5, 3, 0, 0, 0, 0, 0, 0, 0, 5, 0, 7, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0], [0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 8, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0], [0, 0, 0, 1, 0, 9, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 8, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 9, 9], [3, 3, 3, 3, 3, 3, 7, 7, 6, 6, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6], [0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 8, 8], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3], [0, 0, 0, 1, 1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11], [0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 4, 0, 0, 8, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 0, 0, 5, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [5, 1, 0, 0, 0, 0, 8, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 4, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 1, 0, 0, 0, 5, 5, 0, 5, 0, 0, 0, 0, 1, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 4, 0, 0, 0, 5, 5, 0, 0, 0], [0, 0, 1, 0, 0, 0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0], [7, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 7, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8], [0, 0, 0, 5, 0, 0, 5, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7], [5, 1, 1, 1, 1, 1, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 7, 7, 7, 7, 7, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1], [2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0], [0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [7, 7, 7, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 1, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 0, 0, 5, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [5, 1, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 4, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 1, 0, 0, 0, 5, 5, 0, 5, 0, 0, 0, 0, 1, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 4, 0, 0, 0, 5, 5, 0, 0, 0], [0, 0, 1, 0, 0, 0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0], [7, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 7, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> ",
+                "test": {
+                    "input": [
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+            },
+            "Replicate 1": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 4, 0, 0, 8, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 0, 0, 5, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [5, 1, 0, 0, 0, 0, 8, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 4, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 1, 0, 0, 0, 5, 5, 0, 5, 0, 0, 0, 0, 1, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 4, 0, 0, 0, 5, 5, 0, 0, 0], [0, 0, 1, 0, 0, 0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0], [7, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 7, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8], [0, 0, 0, 5, 0, 0, 5, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7], [5, 1, 1, 1, 1, 1, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 7, 7, 7, 7, 7, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1], [2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0], [0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [7, 7, 7, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 1, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 4, 0, 0, 8, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 0, 0, 5, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [5, 1, 0, 0, 0, 0, 8, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 4, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 1, 0, 0, 0, 5, 5, 0, 5, 0, 0, 0, 0, 1, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 4, 0, 0, 0, 5, 5, 0, 0, 0], [0, 0, 1, 0, 0, 0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0], [7, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 7, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8], [0, 0, 0, 5, 0, 0, 5, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7], [5, 1, 1, 1, 1, 1, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 7, 7, 7, 7, 7, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1], [2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0], [0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [7, 7, 7, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 1, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 4, 0, 0, 8, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 0, 0, 5, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [5, 1, 0, 0, 0, 0, 8, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 4, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 1, 0, 0, 0, 5, 5, 0, 5, 0, 0, 0, 0, 1, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 4, 0, 0, 0, 5, 5, 0, 0, 0], [0, 0, 1, 0, 0, 0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0], [7, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 7, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8], [0, 0, 0, 5, 0, 0, 5, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7], [5, 1, 1, 1, 1, 1, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 7, 7, 7, 7, 7, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1], [2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0], [0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [7, 7, 7, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 1, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 0, 0, 5, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [5, 1, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 4, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 1, 0, 0, 0, 5, 5, 0, 5, 0, 0, 0, 0, 1, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 4, 0, 0, 0, 5, 5, 0, 0, 0], [0, 0, 1, 0, 0, 0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0], [7, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 7, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> ",
+                "test": {
+                    "input": [
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+                    ],
+                    "output": [
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+            },
+            "Replicate 2": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 5, 6, 0, 0, 0, 0, 0, 13, 5, 0, 0, 0, 0, 0], [0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0], [0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 5, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 5, 0, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 4, 5, 0, 0, 0, 8, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2], [0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 5, 6, 6, 6, 6, 6, 6, 13, 13, 13, 13, 13, 13, 13], [0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [0, 0, 0, 0, 0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0], [0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [0, 5, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4], [5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 9, 0], [3, 0, 0, 0, 0, 5, 7, 0, 6, 0, 0, 0, 5, 3, 0, 0, 0, 0, 0, 0, 0, 5, 0, 7, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0], [0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 8, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0], [0, 0, 0, 1, 0, 9, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 8, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 9, 9], [3, 3, 3, 3, 3, 3, 7, 7, 6, 6, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6], [0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 8, 8], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3], [0, 0, 0, 1, 1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11], [0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 4, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 9, 0], [5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 0, 0, 5, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 4, 0, 5, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 7, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 8, 13, 5, 0], [0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 4, 0, 0, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5], [0, 0, 5, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 5, 1, 5, 0, 5, 0, 0, 0, 0, 0, 0], [0, 0, 7, 0, 0, 0, 5, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 5, 0], [0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 5, 5, 5, 0, 0, 8, 0, 0, 6, 4, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0], [5, 1, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0], [0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5], [0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 8, 0]] -> [[0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2], [0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 9, 9], [5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 0, 0, 5, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 8, 13, 13, 13], [0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6], [0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [0, 0, 5, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 5, 5, 5, 0, 0, 8, 8, 8, 6, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5], [0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 8, 8]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 4, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 9, 0], [5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 0, 0, 5, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 5, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 8, 13, 5, 0], [0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 4, 0, 0, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5], [0, 0, 5, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 5, 1, 5, 0, 5, 0, 0, 0, 0, 0, 0], [0, 0, 7, 0, 0, 0, 5, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 5, 0], [0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 5, 5, 5, 0, 0, 8, 0, 0, 6, 4, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0], [5, 1, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0], [0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5], [0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 8, 0]] -> ",
+                "test": {
+                    "input": [
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+            },
+            "Replicate 3": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 4, 0, 0, 8, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 0, 0, 5, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [5, 1, 0, 0, 0, 0, 8, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 4, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 1, 0, 0, 0, 5, 5, 0, 5, 0, 0, 0, 0, 1, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 4, 0, 0, 0, 5, 5, 0, 0, 0], [0, 0, 1, 0, 0, 0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0], [7, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 7, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8], [0, 0, 0, 5, 0, 0, 5, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7], [5, 1, 1, 1, 1, 1, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 7, 7, 7, 7, 7, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1], [2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0], [0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [7, 7, 7, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 1, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 9, 0], [3, 0, 0, 0, 0, 5, 7, 0, 6, 0, 0, 0, 5, 3, 0, 0, 0, 0, 0, 0, 0, 5, 0, 7, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0], [0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 8, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0], [0, 0, 0, 1, 0, 9, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 8, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 9, 9], [3, 3, 3, 3, 3, 3, 7, 7, 6, 6, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6], [0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 8, 8], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3], [0, 0, 0, 1, 1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11], [0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 4, 0, 0, 8, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 0, 0, 5, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [5, 1, 0, 0, 0, 0, 8, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 4, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 1, 0, 0, 0, 5, 5, 0, 5, 0, 0, 0, 0, 1, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 4, 0, 0, 0, 5, 5, 0, 0, 0], [0, 0, 1, 0, 0, 0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0], [7, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 7, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8], [0, 0, 0, 5, 0, 0, 5, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7], [5, 1, 1, 1, 1, 1, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 7, 7, 7, 7, 7, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1], [2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0], [0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [7, 7, 7, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 1, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 4, 0, 0, 8, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 0, 0, 5, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5, 1, 0, 0, 0, 0, 8, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 4, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 1, 0, 0, 0, 5, 5, 0, 5, 0, 0, 0, 0, 1, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 5, 5, 0, 0, 0], [0, 0, 1, 0, 0, 0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0], [0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> ",
+                "test": {
+                    "input": [
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+                    ],
+                    "output": [
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+            },
+            "Replicate 4": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 5, 6, 0, 0, 0, 0, 0, 13, 5, 0, 0, 0, 0, 0], [0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0], [0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 5, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 5, 0, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 4, 5, 0, 0, 0, 8, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2], [0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 5, 6, 6, 6, 6, 6, 6, 13, 13, 13, 13, 13, 13, 13], [0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [0, 0, 0, 0, 0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0], [0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [0, 5, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4], [5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 4, 0, 0, 8, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 0, 0, 5, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [5, 1, 0, 0, 0, 0, 8, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 4, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 1, 0, 0, 0, 5, 5, 0, 5, 0, 0, 0, 0, 1, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 4, 0, 0, 0, 5, 5, 0, 0, 0], [0, 0, 1, 0, 0, 0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0], [7, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 7, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8], [0, 0, 0, 5, 0, 0, 5, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7], [5, 1, 1, 1, 1, 1, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 7, 7, 7, 7, 7, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1], [2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0], [0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [7, 7, 7, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 1, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7]]\nExample input-output arrays:\n[[0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 4, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 9, 0], [5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 0, 0, 5, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 4, 0, 5, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 7, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 8, 13, 5, 0], [0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 4, 0, 0, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5], [0, 0, 5, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 5, 1, 5, 0, 5, 0, 0, 0, 0, 0, 0], [0, 0, 7, 0, 0, 0, 5, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 5, 0], [0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 5, 5, 5, 0, 0, 8, 0, 0, 6, 4, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0], [5, 1, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0], [0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5], [0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 8, 0]] -> [[0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2], [0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 9, 9], [5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 0, 0, 5, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 8, 13, 13, 13], [0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6], [0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [0, 0, 5, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 5, 5, 5, 0, 0, 8, 8, 8, 6, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5], [0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 8, 8]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 4, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 9, 0], [5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 0, 0, 5, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 4, 0, 5, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 13, 5, 0], [0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 4, 0, 0, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5], [0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 0, 5, 0, 0, 0, 0, 0, 0], [0, 0, 7, 0, 0, 0, 5, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 5, 0], [0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 5, 5, 5, 0, 0, 8, 0, 0, 6, 4, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0], [0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5], [0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 8, 0]] -> ",
+                "test": {
+                    "input": [
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+        },
+        "L3": {
+            "Replicate 0": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 9, 0], [3, 0, 0, 0, 0, 5, 7, 0, 6, 0, 0, 0, 5, 3, 0, 0, 0, 0, 0, 0, 0, 5, 0, 7, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0], [0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 8, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0], [0, 0, 0, 1, 0, 9, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 8, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 9, 9], [3, 3, 3, 3, 3, 3, 7, 7, 6, 6, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6], [0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 8, 8], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3], [0, 0, 0, 1, 1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11], [0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 9, 0], [3, 0, 0, 0, 0, 5, 7, 0, 6, 0, 0, 0, 5, 3, 0, 0, 0, 0, 0, 0, 0, 5, 0, 7, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0], [0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 8, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0], [0, 0, 0, 1, 0, 9, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 9, 9], [3, 3, 3, 3, 3, 3, 7, 7, 6, 6, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6], [0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 8, 8], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3], [0, 0, 0, 1, 1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 5, 6, 0, 0, 0, 0, 0, 13, 5, 0, 0, 0, 0, 0], [0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0], [0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 5, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 5, 0, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 4, 5, 0, 0, 0, 8, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2], [0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 5, 6, 6, 6, 6, 6, 6, 13, 13, 13, 13, 13, 13, 13], [0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [0, 0, 0, 0, 0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0], [0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [0, 5, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4], [5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 5, 6, 0, 0, 0, 0, 0, 13, 5, 0, 0, 0, 0, 0], [0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0], [0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 5, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 5, 0, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 5, 0, 0, 0, 8, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2], [0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 5, 6, 6, 6, 6, 6, 6, 13, 13, 13, 13, 13, 13, 13], [0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [0, 0, 0, 0, 0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0], [0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [0, 5, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4], [5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 13, 5, 0, 0, 0, 0, 0], [0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0], [0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 5, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 5, 0, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 4, 5, 0, 0, 0, 8, 0, 0, 0, 0, 0]] -> ",
+                "test": {
+                    "input": [
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+            "Replicate 1": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 4, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 9, 0], [5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 0, 0, 5, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 4, 0, 5, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 7, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 8, 13, 5, 0], [0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 4, 0, 0, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5], [0, 0, 5, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 5, 1, 5, 0, 5, 0, 0, 0, 0, 0, 0], [0, 0, 7, 0, 0, 0, 5, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 5, 0], [0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 5, 5, 5, 0, 0, 8, 0, 0, 6, 4, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0], [5, 1, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0], [0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5], [0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 8, 0]] -> [[0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2], [0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 9, 9], [5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 0, 0, 5, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 8, 13, 13, 13], [0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6], [0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [0, 0, 5, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 5, 5, 5, 0, 0, 8, 8, 8, 6, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5], [0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 8, 8]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 4, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 9, 0], [5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 0, 0, 5, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 4, 0, 5, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 13, 5, 0], [0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 4, 0, 0, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5], [0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 0, 5, 0, 0, 0, 0, 0, 0], [0, 0, 7, 0, 0, 0, 5, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 5, 0], [0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 5, 5, 5, 0, 0, 8, 0, 0, 6, 4, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0], [0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5], [0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 8, 0]] -> [[0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2], [0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 9, 9], [5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 0, 0, 5, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 13, 13, 13], [0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6], [0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 0, 5, 0, 0, 0, 0, 0, 0], [0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 5, 5, 5, 0, 0, 8, 8, 8, 6, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0], [0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5], [0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 8, 8]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 9, 0], [3, 0, 0, 0, 0, 5, 7, 0, 6, 0, 0, 0, 5, 3, 0, 0, 0, 0, 0, 0, 0, 5, 0, 7, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0], [0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 8, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0], [0, 0, 0, 1, 0, 9, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 8, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 9, 9], [3, 3, 3, 3, 3, 3, 7, 7, 6, 6, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6], [0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 8, 8], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3], [0, 0, 0, 1, 1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11], [0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 9, 0], [3, 0, 0, 0, 0, 5, 7, 0, 6, 0, 0, 0, 5, 3, 0, 0, 0, 0, 0, 0, 0, 5, 0, 7, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0], [0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 8, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0], [0, 0, 0, 1, 0, 9, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 9, 9], [3, 3, 3, 3, 3, 3, 7, 7, 6, 6, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6], [0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 8, 8], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3], [0, 0, 0, 1, 1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 9, 0], [3, 0, 0, 0, 0, 5, 7, 0, 6, 0, 0, 0, 5, 3, 0, 0, 0, 0, 0, 0, 0, 5, 0, 7, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0], [0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0], [0, 0, 0, 1, 0, 9, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 0, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> ",
+                "test": {
+                    "input": [
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+            },
+            "Replicate 2": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 4, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 9, 0], [5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 0, 0, 5, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 4, 0, 5, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 7, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 8, 13, 5, 0], [0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 4, 0, 0, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5], [0, 0, 5, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 5, 1, 5, 0, 5, 0, 0, 0, 0, 0, 0], [0, 0, 7, 0, 0, 0, 5, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 5, 0], [0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 5, 5, 5, 0, 0, 8, 0, 0, 6, 4, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0], [5, 1, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0], [0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5], [0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 8, 0]] -> [[0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2], [0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 9, 9], [5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 0, 0, 5, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 8, 13, 13, 13], [0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6], [0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [0, 0, 5, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 5, 5, 5, 0, 0, 8, 8, 8, 6, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5], [0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 8, 8]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 4, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 9, 0], [5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 0, 0, 5, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 4, 0, 5, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 7, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 8, 0, 5, 0], [0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 4, 0, 0, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5], [0, 0, 5, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 5, 1, 5, 0, 5, 0, 0, 0, 0, 0, 0], [0, 0, 7, 0, 0, 0, 5, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 5, 0], [0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 5, 5, 5, 0, 0, 8, 0, 0, 6, 4, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0], [5, 1, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0], [0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5], [0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 8, 0]] -> [[0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2], [0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 9, 9], [5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 0, 0, 5, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 8, 8, 8, 8], [0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6], [0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [0, 0, 5, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 5, 5, 5, 0, 0, 8, 8, 8, 6, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5], [0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 8, 8]]\nExample input-output arrays:\n[[5, 0, 0, 0, 3, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 7, 3, 0, 0, 0, 0, 0, 0, 5], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0], [0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 5, 0, 0], [0, 0, 0, 5, 0, 0, 5, 0, 0, 0, 0, 0, 5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0], [0, 2, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 0, 0, 0], [0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 3, 0, 0, 5, 0, 0, 5], [0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 5, 0, 0], [0, 0, 0, 5, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 5, 0, 0]] -> [[5, 0, 0, 0, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [0, 0, 0, 0, 0, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 7, 3, 3, 3, 3, 3, 3, 3, 3], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 9, 9, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7], [0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8], [0, 0, 0, 5, 0, 0, 5, 0, 0, 0, 0, 0, 5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 0, 0, 0], [0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3], [0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 0, 5, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [0, 0, 0, 0, 5, 0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[5, 0, 0, 0, 3, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 7, 3, 0, 0, 0, 0, 0, 0, 5], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0], [0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 5, 0, 0], [0, 0, 0, 5, 0, 0, 5, 0, 0, 0, 0, 0, 5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0], [0, 2, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 0, 0, 0], [0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 3, 0, 0, 5, 0, 0, 5], [0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 5, 0, 0], [0, 0, 0, 5, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 5, 0, 0]] -> [[5, 0, 0, 0, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 7, 3, 3, 3, 3, 3, 3, 3, 3], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 9, 9, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7], [0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8], [0, 0, 0, 5, 0, 0, 5, 0, 0, 0, 0, 0, 5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 0, 0, 0], [0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3], [0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 0, 5, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [0, 0, 0, 0, 5, 0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[5, 0, 0, 0, 3, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 7, 3, 0, 0, 0, 0, 0, 0, 5], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0], [0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 5, 0, 0], [0, 0, 0, 5, 0, 0, 5, 0, 0, 0, 0, 0, 5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0], [0, 2, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 0, 0, 0], [0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 3, 0, 0, 5, 0, 0, 5], [0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 5, 0, 0], [0, 0, 0, 5, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
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+            },
+            "Replicate 3": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[5, 0, 0, 0, 3, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 7, 3, 0, 0, 0, 0, 0, 0, 5], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0], [0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 5, 0, 0], [0, 0, 0, 5, 0, 0, 5, 0, 0, 0, 0, 0, 5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0], [0, 2, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 0, 0, 0], [0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 3, 0, 0, 5, 0, 0, 5], [0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 5, 0, 0], [0, 0, 0, 5, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 5, 0, 0]] -> [[5, 0, 0, 0, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [0, 0, 0, 0, 0, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 7, 3, 3, 3, 3, 3, 3, 3, 3], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 9, 9, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7], [0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8], [0, 0, 0, 5, 0, 0, 5, 0, 0, 0, 0, 0, 5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 0, 0, 0], [0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3], [0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 0, 5, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [0, 0, 0, 0, 5, 0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 3, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 3, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 0, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [0, 0, 0, 0, 0, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 3, 3, 3, 3, 3, 3, 3, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 9, 9, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3], [0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 0, 0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1]]\nExample input-output arrays:\n[[0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 4, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 9, 0], [5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 0, 0, 5, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 4, 0, 5, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 7, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 8, 13, 5, 0], [0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 4, 0, 0, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5], [0, 0, 5, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 5, 1, 5, 0, 5, 0, 0, 0, 0, 0, 0], [0, 0, 7, 0, 0, 0, 5, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 5, 0], [0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 5, 5, 5, 0, 0, 8, 0, 0, 6, 4, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0], [5, 1, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0], [0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5], [0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 8, 0]] -> [[0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2], [0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 9, 9], [5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 0, 0, 5, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 8, 13, 13, 13], [0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6], [0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [0, 0, 5, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 5, 5, 5, 0, 0, 8, 8, 8, 6, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5], [0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 8, 8]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 4, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 9, 0], [5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 0, 0, 5, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 4, 0, 5, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 7, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 8, 13, 5, 0], [0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5], [0, 0, 5, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 5, 1, 5, 0, 5, 0, 0, 0, 0, 0, 0], [0, 0, 7, 0, 0, 0, 5, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 5, 0], [0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 5, 5, 5, 0, 0, 8, 0, 0, 0, 4, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0], [5, 1, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0], [0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5], [0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 8, 0]] -> [[0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2], [0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 9, 9], [5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 0, 0, 5, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 8, 13, 13, 13], [0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [0, 0, 5, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 5, 5, 5, 0, 0, 8, 8, 8, 8, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5], [0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 8, 8]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 4, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 9, 0], [5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 0, 0, 5, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 4, 0, 5, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 7, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 8, 0, 5, 0], [0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 4, 0, 0, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5], [0, 0, 5, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 5, 1, 5, 0, 5, 0, 0, 0, 0, 0, 0], [0, 0, 7, 0, 0, 0, 5, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 5, 0], [0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 5, 5, 5, 0, 0, 8, 0, 0, 6, 4, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0], [5, 1, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0], [0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5], [0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 8, 0]] -> ",
+                "test": {
+                    "input": [
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+            "Replicate 4": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[5, 0, 0, 0, 3, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 7, 3, 0, 0, 0, 0, 0, 0, 5], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0], [0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 5, 0, 0], [0, 0, 0, 5, 0, 0, 5, 0, 0, 0, 0, 0, 5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0], [0, 2, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 0, 0, 0], [0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 3, 0, 0, 5, 0, 0, 5], [0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 5, 0, 0], [0, 0, 0, 5, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 5, 0, 0]] -> [[5, 0, 0, 0, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [0, 0, 0, 0, 0, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 7, 3, 3, 3, 3, 3, 3, 3, 3], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 9, 9, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7], [0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8], [0, 0, 0, 5, 0, 0, 5, 0, 0, 0, 0, 0, 5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 0, 0, 0], [0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3], [0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 0, 5, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [0, 0, 0, 0, 5, 0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[5, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 7, 3, 0, 0, 0, 0, 0, 0, 5], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0], [0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 5, 0, 0], [0, 0, 0, 5, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0], [0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 0, 0, 0], [0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 3, 0, 0, 5, 0, 0, 5], [0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 5, 0, 0], [0, 0, 0, 5, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 5, 0, 0]] -> [[5, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 7, 3, 3, 3, 3, 3, 3, 3, 3], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 9, 9, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7], [0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8], [0, 0, 0, 5, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0], [0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 0, 0, 0], [0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3], [0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 0, 5, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [0, 0, 0, 0, 5, 0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 9, 0], [3, 0, 0, 0, 0, 5, 7, 0, 6, 0, 0, 0, 5, 3, 0, 0, 0, 0, 0, 0, 0, 5, 0, 7, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0], [0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 8, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0], [0, 0, 0, 1, 0, 9, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 8, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 9, 9], [3, 3, 3, 3, 3, 3, 7, 7, 6, 6, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6], [0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 8, 8], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3], [0, 0, 0, 1, 1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11], [0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0], [3, 0, 0, 0, 0, 5, 7, 0, 0, 0, 0, 0, 5, 3, 0, 0, 0, 0, 0, 0, 0, 5, 0, 7, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 8, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0], [0, 0, 0, 1, 0, 9, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 8, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9], [3, 3, 3, 3, 3, 3, 7, 7, 7, 7, 7, 7, 7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 8, 8], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3], [0, 0, 0, 1, 1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 8, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11], [0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 9, 0], [3, 0, 0, 0, 0, 5, 7, 0, 6, 0, 0, 0, 5, 3, 0, 0, 0, 0, 0, 0, 0, 5, 0, 7, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0], [0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 8, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0], [0, 0, 0, 1, 0, 9, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 8, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> ",
+                "test": {
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+    },
+    "SCMfuy3": {
+        "L1": {
+            "Replicate 0": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 6, 0, 0, 0, 5, 5, 0, 0, 0, 0, 9, 0, 0, 7, 7, 7, 0, 0, 9, 9, 9, 0, 0, 9, 9, 9, 0], [0, 0, 6, 6, 0, 0, 5, 5, 5, 0, 0, 9, 9, 9, 0, 0, 7, 7, 7, 0, 0, 9, 9, 9, 0, 0, 9, 9, 9, 0], [0, 6, 6, 6, 0, 0, 0, 5, 5, 0, 0, 9, 9, 9, 0, 0, 7, 7, 7, 0, 0, 9, 9, 9, 0, 0, 9, 9, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0.0, 0.0, 0.0], [0.0, 6.0, 0.0], [0.0, 0.0, 0.0], [0.0, 0.0, 0.0], [0.0, 5.0, 0.0], [0.0, 0.0, 0.0], [9.0, 9.0, 9.0], [9.0, 9.0, 9.0], [9.0, 9.0, 9.0], [0.0, 0.0, 0.0], [0.0, 7.0, 0.0], [0.0, 0.0, 0.0], [9.0, 9.0, 9.0], [9.0, 9.0, 9.0], [9.0, 9.0, 9.0], [9.0, 9.0, 9.0], [9.0, 9.0, 9.0], [9.0, 9.0, 9.0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 6, 0, 0, 0, 5, 5, 0, 0, 0, 0, 9, 0, 0, 7, 7, 7, 0, 0, 9, 9, 9, 0, 0, 9, 9, 9, 0], [0, 0, 6, 6, 0, 0, 5, 5, 5, 0, 0, 9, 9, 9, 0, 0, 7, 7, 7, 0, 0, 9, 9, 9, 0, 0, 9, 9, 9, 0], [0, 6, 6, 6, 0, 0, 0, 5, 5, 0, 0, 9, 9, 9, 0, 0, 7, 7, 7, 0, 0, 9, 9, 9, 0, 0, 9, 9, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0.0, 0.0, 0.0], [0.0, 6.0, 0.0], [0.0, 0.0, 0.0], [0.0, 0.0, 0.0], [0.0, 5.0, 0.0], [0.0, 0.0, 0.0], [9.0, 9.0, 9.0], [9.0, 9.0, 9.0], [9.0, 9.0, 9.0], [0.0, 0.0, 0.0], [0.0, 7.0, 0.0], [0.0, 0.0, 0.0], [9.0, 9.0, 9.0], [9.0, 9.0, 9.0], [9.0, 9.0, 9.0], [9.0, 9.0, 9.0], [9.0, 9.0, 9.0], [9.0, 9.0, 9.0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 7, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 0, 6, 6, 6, 0, 0, 1, 1, 1, 0, 0, 5, 0, 5, 0], [0, 7, 7, 0, 0, 0, 7, 7, 0, 0, 0, 7, 7, 7, 0, 0, 6, 6, 6, 0, 0, 1, 0, 1, 0, 0, 5, 0, 5, 0], [0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 0, 6, 6, 0, 0, 0, 1, 1, 0, 0, 0, 5, 5, 5, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[7.0, 7.0, 7.0], [7.0, 7.0, 7.0], [7.0, 7.0, 7.0], [7.0, 7.0, 7.0], [7.0, 7.0, 7.0], [7.0, 7.0, 7.0], [7.0, 7.0, 7.0], [7.0, 7.0, 7.0], [7.0, 7.0, 7.0], [0.0, 0.0, 0.0], [0.0, 6.0, 0.0], [0.0, 0.0, 0.0], [0.0, 0.0, 0.0], [0.0, 1.0, 0.0], [0.0, 0.0, 0.0], [0.0, 0.0, 0.0], [0.0, 5.0, 0.0], [0.0, 0.0, 0.0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 7, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 0, 9, 9, 9, 0, 0, 1, 1, 1, 0, 0, 5, 0, 5, 0], [0, 7, 7, 0, 0, 0, 7, 7, 0, 0, 0, 7, 7, 7, 0, 0, 9, 9, 9, 0, 0, 1, 0, 1, 0, 0, 5, 0, 5, 0], [0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 0, 9, 9, 0, 0, 0, 1, 1, 0, 0, 0, 5, 5, 5, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> ",
+                "test": {
+                    "input": [
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+                        [
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+                            7.0,
+                            7.0
+                        ],
+                        [
+                            7.0,
+                            7.0,
+                            7.0
+                        ],
+                        [
+                            7.0,
+                            7.0,
+                            7.0
+                        ],
+                        [
+                            7.0,
+                            7.0,
+                            7.0
+                        ],
+                        [
+                            7.0,
+                            7.0,
+                            7.0
+                        ],
+                        [
+                            7.0,
+                            7.0,
+                            7.0
+                        ],
+                        [
+                            7.0,
+                            7.0,
+                            7.0
+                        ],
+                        [
+                            0.0,
+                            0.0,
+                            0.0
+                        ],
+                        [
+                            0.0,
+                            9.0,
+                            0.0
+                        ],
+                        [
+                            0.0,
+                            0.0,
+                            0.0
+                        ],
+                        [
+                            0.0,
+                            0.0,
+                            0.0
+                        ],
+                        [
+                            0.0,
+                            1.0,
+                            0.0
+                        ],
+                        [
+                            0.0,
+                            0.0,
+                            0.0
+                        ],
+                        [
+                            0.0,
+                            0.0,
+                            0.0
+                        ],
+                        [
+                            0.0,
+                            5.0,
+                            0.0
+                        ],
+                        [
+                            0.0,
+                            0.0,
+                            0.0
+                        ]
+                    ]
+                }
+            },
+            "Replicate 1": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 6, 6, 6, 0, 0, 0, 0, 9, 0, 0, 5, 5, 0, 0], [0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 6, 6, 6, 0, 0, 9, 9, 9, 0, 0, 5, 5, 5, 0], [0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 6, 6, 0, 0, 0, 9, 0, 9, 0, 0, 5, 5, 5, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[1.0, 1.0, 1.0], [1.0, 1.0, 1.0], [1.0, 1.0, 1.0], [1.0, 1.0, 1.0], [1.0, 1.0, 1.0], [1.0, 1.0, 1.0], [1.0, 1.0, 1.0], [1.0, 1.0, 1.0], [1.0, 1.0, 1.0], [0.0, 0.0, 0.0], [0.0, 6.0, 0.0], [0.0, 0.0, 0.0], [0.0, 0.0, 0.0], [0.0, 9.0, 0.0], [0.0, 0.0, 0.0], [0.0, 0.0, 0.0], [0.0, 5.0, 0.0], [0.0, 0.0, 0.0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 7, 7, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 6, 6, 6, 0, 0, 0, 2, 2, 0], [0, 7, 7, 7, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 5, 5, 5, 0, 0, 6, 6, 6, 0, 0, 0, 2, 2, 0], [0, 7, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 5, 5, 5, 0, 0, 0, 6, 6, 0, 0, 0, 2, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0.0, 0.0, 0.0], [0.0, 7.0, 0.0], [0.0, 0.0, 0.0], [2.0, 2.0, 2.0], [2.0, 2.0, 2.0], [2.0, 2.0, 2.0], [2.0, 2.0, 2.0], [2.0, 2.0, 2.0], [2.0, 2.0, 2.0], [0.0, 0.0, 0.0], [0.0, 5.0, 0.0], [0.0, 0.0, 0.0], [0.0, 0.0, 0.0], [0.0, 6.0, 0.0], [0.0, 0.0, 0.0], [2.0, 2.0, 2.0], [2.0, 2.0, 2.0], [2.0, 2.0, 2.0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 9, 9, 0, 0, 0, 0, 8, 0, 0, 0, 2, 2, 2, 0, 0, 8, 8, 0, 0], [0, 9, 9, 9, 0, 0, 0, 8, 8, 0, 0, 0, 2, 0, 0, 0, 8, 8, 8, 0], [0, 9, 9, 9, 0, 0, 8, 8, 8, 0, 0, 2, 2, 2, 0, 0, 8, 8, 8, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0.0, 0.0, 0.0], [0.0, 9.0, 0.0], [0.0, 0.0, 0.0], [8.0, 8.0, 8.0], [8.0, 8.0, 8.0], [8.0, 8.0, 8.0], [0.0, 0.0, 0.0], [0.0, 2.0, 0.0], [0.0, 0.0, 0.0], [8.0, 8.0, 8.0], [8.0, 8.0, 8.0], [8.0, 8.0, 8.0]]\nCounterfactual: Now imagine that we intervened on the previous input by rotating or flipping it.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 9, 9, 9, 0, 0, 8, 8, 8, 0, 0, 2, 2, 2, 0, 0, 8, 8, 8, 0], [0, 9, 9, 9, 0, 0, 0, 8, 8, 0, 0, 0, 2, 0, 0, 0, 8, 8, 8, 0], [0, 9, 9, 0, 0, 0, 0, 8, 0, 0, 0, 2, 2, 2, 0, 0, 8, 8, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            9,
+                            9,
+                            9,
+                            0,
+                            0,
+                            8,
+                            8,
+                            8,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            8,
+                            8,
+                            8,
+                            0
+                        ],
+                        [
+                            0,
+                            9,
+                            9,
+                            9,
+                            0,
+                            0,
+                            0,
+                            8,
+                            8,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            8,
+                            8,
+                            8,
+                            0
+                        ],
+                        [
+                            0,
+                            9,
+                            9,
+                            0,
+                            0,
+                            0,
+                            0,
+                            8,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            8,
+                            8,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ]
+                    ],
+                    "output": [
+                        [
+                            0.0,
+                            0.0,
+                            0.0
+                        ],
+                        [
+                            0.0,
+                            9.0,
+                            0.0
+                        ],
+                        [
+                            0.0,
+                            0.0,
+                            0.0
+                        ],
+                        [
+                            8.0,
+                            8.0,
+                            8.0
+                        ],
+                        [
+                            8.0,
+                            8.0,
+                            8.0
+                        ],
+                        [
+                            8.0,
+                            8.0,
+                            8.0
+                        ],
+                        [
+                            0.0,
+                            0.0,
+                            0.0
+                        ],
+                        [
+                            0.0,
+                            2.0,
+                            0.0
+                        ],
+                        [
+                            0.0,
+                            0.0,
+                            0.0
+                        ],
+                        [
+                            8.0,
+                            8.0,
+                            8.0
+                        ],
+                        [
+                            8.0,
+                            8.0,
+                            8.0
+                        ],
+                        [
+                            8.0,
+                            8.0,
+                            8.0
+                        ]
+                    ]
+                }
+            },
+            "Replicate 2": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 6, 0, 0, 0, 5, 5, 0, 0, 0, 0, 9, 0, 0, 7, 7, 7, 0, 0, 9, 9, 9, 0, 0, 9, 9, 9, 0], [0, 0, 6, 6, 0, 0, 5, 5, 5, 0, 0, 9, 9, 9, 0, 0, 7, 7, 7, 0, 0, 9, 9, 9, 0, 0, 9, 9, 9, 0], [0, 6, 6, 6, 0, 0, 0, 5, 5, 0, 0, 9, 9, 9, 0, 0, 7, 7, 7, 0, 0, 9, 9, 9, 0, 0, 9, 9, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0.0, 0.0, 0.0], [0.0, 6.0, 0.0], [0.0, 0.0, 0.0], [0.0, 0.0, 0.0], [0.0, 5.0, 0.0], [0.0, 0.0, 0.0], [9.0, 9.0, 9.0], [9.0, 9.0, 9.0], [9.0, 9.0, 9.0], [0.0, 0.0, 0.0], [0.0, 7.0, 0.0], [0.0, 0.0, 0.0], [9.0, 9.0, 9.0], [9.0, 9.0, 9.0], [9.0, 9.0, 9.0], [9.0, 9.0, 9.0], [9.0, 9.0, 9.0], [9.0, 9.0, 9.0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 7, 7, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 6, 6, 6, 0, 0, 0, 2, 2, 0], [0, 7, 7, 7, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 5, 5, 5, 0, 0, 6, 6, 6, 0, 0, 0, 2, 2, 0], [0, 7, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 5, 5, 5, 0, 0, 0, 6, 6, 0, 0, 0, 2, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0.0, 0.0, 0.0], [0.0, 7.0, 0.0], [0.0, 0.0, 0.0], [2.0, 2.0, 2.0], [2.0, 2.0, 2.0], [2.0, 2.0, 2.0], [2.0, 2.0, 2.0], [2.0, 2.0, 2.0], [2.0, 2.0, 2.0], [0.0, 0.0, 0.0], [0.0, 5.0, 0.0], [0.0, 0.0, 0.0], [0.0, 0.0, 0.0], [0.0, 6.0, 0.0], [0.0, 0.0, 0.0], [2.0, 2.0, 2.0], [2.0, 2.0, 2.0], [2.0, 2.0, 2.0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 7, 7, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 6, 6, 6, 0, 0, 0, 2, 2, 0], [0, 7, 7, 7, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 5, 5, 5, 0, 0, 6, 6, 6, 0, 0, 0, 2, 2, 0], [0, 7, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 5, 5, 5, 0, 0, 0, 6, 6, 0, 0, 0, 2, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0.0, 0.0, 0.0], [0.0, 7.0, 0.0], [0.0, 0.0, 0.0], [2.0, 2.0, 2.0], [2.0, 2.0, 2.0], [2.0, 2.0, 2.0], [2.0, 2.0, 2.0], [2.0, 2.0, 2.0], [2.0, 2.0, 2.0], [0.0, 0.0, 0.0], [0.0, 5.0, 0.0], [0.0, 0.0, 0.0], [0.0, 0.0, 0.0], [0.0, 6.0, 0.0], [0.0, 0.0, 0.0], [2.0, 2.0, 2.0], [2.0, 2.0, 2.0], [2.0, 2.0, 2.0]]\nCounterfactual: Now imagine that we intervened on the previous input by rotating or flipping it.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 5, 5, 5, 0, 0, 0, 6, 6, 0, 0, 0, 2, 2, 0], [0, 7, 7, 7, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 5, 5, 5, 0, 0, 6, 6, 6, 0, 0, 0, 2, 2, 0], [0, 7, 7, 7, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 6, 6, 6, 0, 0, 0, 2, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            7,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            5,
+                            5,
+                            5,
+                            0,
+                            0,
+                            0,
+                            6,
+                            6,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0
+                        ],
+                        [
+                            0,
+                            7,
+                            7,
+                            7,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            5,
+                            5,
+                            5,
+                            0,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0
+                        ],
+                        [
+                            0,
+                            7,
+                            7,
+                            7,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            5,
+                            5,
+                            5,
+                            0,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ]
+                    ],
+                    "output": [
+                        [
+                            0.0,
+                            0.0,
+                            0.0
+                        ],
+                        [
+                            0.0,
+                            7.0,
+                            0.0
+                        ],
+                        [
+                            0.0,
+                            0.0,
+                            0.0
+                        ],
+                        [
+                            2.0,
+                            2.0,
+                            2.0
+                        ],
+                        [
+                            2.0,
+                            2.0,
+                            2.0
+                        ],
+                        [
+                            2.0,
+                            2.0,
+                            2.0
+                        ],
+                        [
+                            2.0,
+                            2.0,
+                            2.0
+                        ],
+                        [
+                            2.0,
+                            2.0,
+                            2.0
+                        ],
+                        [
+                            2.0,
+                            2.0,
+                            2.0
+                        ],
+                        [
+                            0.0,
+                            0.0,
+                            0.0
+                        ],
+                        [
+                            0.0,
+                            5.0,
+                            0.0
+                        ],
+                        [
+                            0.0,
+                            0.0,
+                            0.0
+                        ],
+                        [
+                            0.0,
+                            0.0,
+                            0.0
+                        ],
+                        [
+                            0.0,
+                            6.0,
+                            0.0
+                        ],
+                        [
+                            0.0,
+                            0.0,
+                            0.0
+                        ],
+                        [
+                            2.0,
+                            2.0,
+                            2.0
+                        ],
+                        [
+                            2.0,
+                            2.0,
+                            2.0
+                        ],
+                        [
+                            2.0,
+                            2.0,
+                            2.0
+                        ]
+                    ]
+                }
+            },
+            "Replicate 3": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 6, 0, 0, 0, 5, 5, 0, 0, 0, 0, 9, 0, 0, 7, 7, 7, 0, 0, 9, 9, 9, 0, 0, 9, 9, 9, 0], [0, 0, 6, 6, 0, 0, 5, 5, 5, 0, 0, 9, 9, 9, 0, 0, 7, 7, 7, 0, 0, 9, 9, 9, 0, 0, 9, 9, 9, 0], [0, 6, 6, 6, 0, 0, 0, 5, 5, 0, 0, 9, 9, 9, 0, 0, 7, 7, 7, 0, 0, 9, 9, 9, 0, 0, 9, 9, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0.0, 0.0, 0.0], [0.0, 6.0, 0.0], [0.0, 0.0, 0.0], [0.0, 0.0, 0.0], [0.0, 5.0, 0.0], [0.0, 0.0, 0.0], [9.0, 9.0, 9.0], [9.0, 9.0, 9.0], [9.0, 9.0, 9.0], [0.0, 0.0, 0.0], [0.0, 7.0, 0.0], [0.0, 0.0, 0.0], [9.0, 9.0, 9.0], [9.0, 9.0, 9.0], [9.0, 9.0, 9.0], [9.0, 9.0, 9.0], [9.0, 9.0, 9.0], [9.0, 9.0, 9.0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 7, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 0, 6, 6, 6, 0, 0, 1, 1, 1, 0, 0, 5, 0, 5, 0], [0, 7, 7, 0, 0, 0, 7, 7, 0, 0, 0, 7, 7, 7, 0, 0, 6, 6, 6, 0, 0, 1, 0, 1, 0, 0, 5, 0, 5, 0], [0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 0, 6, 6, 0, 0, 0, 1, 1, 0, 0, 0, 5, 5, 5, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[7.0, 7.0, 7.0], [7.0, 7.0, 7.0], [7.0, 7.0, 7.0], [7.0, 7.0, 7.0], [7.0, 7.0, 7.0], [7.0, 7.0, 7.0], [7.0, 7.0, 7.0], [7.0, 7.0, 7.0], [7.0, 7.0, 7.0], [0.0, 0.0, 0.0], [0.0, 6.0, 0.0], [0.0, 0.0, 0.0], [0.0, 0.0, 0.0], [0.0, 1.0, 0.0], [0.0, 0.0, 0.0], [0.0, 0.0, 0.0], [0.0, 5.0, 0.0], [0.0, 0.0, 0.0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 6, 0, 0, 0, 5, 5, 0, 0, 0, 0, 9, 0, 0, 7, 7, 7, 0, 0, 9, 9, 9, 0, 0, 9, 9, 9, 0], [0, 0, 6, 6, 0, 0, 5, 5, 5, 0, 0, 9, 9, 9, 0, 0, 7, 7, 7, 0, 0, 9, 9, 9, 0, 0, 9, 9, 9, 0], [0, 6, 6, 6, 0, 0, 0, 5, 5, 0, 0, 9, 9, 9, 0, 0, 7, 7, 7, 0, 0, 9, 9, 9, 0, 0, 9, 9, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0.0, 0.0, 0.0], [0.0, 6.0, 0.0], [0.0, 0.0, 0.0], [0.0, 0.0, 0.0], [0.0, 5.0, 0.0], [0.0, 0.0, 0.0], [9.0, 9.0, 9.0], [9.0, 9.0, 9.0], [9.0, 9.0, 9.0], [0.0, 0.0, 0.0], [0.0, 7.0, 0.0], [0.0, 0.0, 0.0], [9.0, 9.0, 9.0], [9.0, 9.0, 9.0], [9.0, 9.0, 9.0], [9.0, 9.0, 9.0], [9.0, 9.0, 9.0], [9.0, 9.0, 9.0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 3, 3, 3, 0, 0, 0, 5, 5, 0, 0, 0, 0, 9, 0, 0, 7, 7, 7, 0, 0, 9, 9, 9, 0, 0, 9, 9, 9, 0], [0, 0, 3, 3, 0, 0, 5, 5, 5, 0, 0, 9, 9, 9, 0, 0, 7, 7, 7, 0, 0, 9, 9, 9, 0, 0, 9, 9, 9, 0], [0, 3, 3, 3, 0, 0, 0, 5, 5, 0, 0, 9, 9, 9, 0, 0, 7, 7, 7, 0, 0, 9, 9, 9, 0, 0, 9, 9, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
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+                            0,
+                            0
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+                        [
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+                            3,
+                            3,
+                            3,
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+                            5,
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+                            0,
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+                            0,
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+                            7,
+                            7,
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+                            0,
+                            0,
+                            9,
+                            9,
+                            9,
+                            0,
+                            0,
+                            9,
+                            9,
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+                            0
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+                        [
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+                            3,
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+                            0,
+                            5,
+                            5,
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+                            9,
+                            9,
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+                            7,
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+                            0,
+                            0,
+                            9,
+                            9,
+                            9,
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+                            9,
+                            9,
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+                        [
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+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            5,
+                            5,
+                            0,
+                            0,
+                            9,
+                            9,
+                            9,
+                            0,
+                            0,
+                            7,
+                            7,
+                            7,
+                            0,
+                            0,
+                            9,
+                            9,
+                            9,
+                            0,
+                            0,
+                            9,
+                            9,
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+                        [
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+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
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+                    ],
+                    "output": [
+                        [
+                            0.0,
+                            0.0,
+                            0.0
+                        ],
+                        [
+                            0.0,
+                            3.0,
+                            0.0
+                        ],
+                        [
+                            0.0,
+                            0.0,
+                            0.0
+                        ],
+                        [
+                            0.0,
+                            0.0,
+                            0.0
+                        ],
+                        [
+                            0.0,
+                            5.0,
+                            0.0
+                        ],
+                        [
+                            0.0,
+                            0.0,
+                            0.0
+                        ],
+                        [
+                            9.0,
+                            9.0,
+                            9.0
+                        ],
+                        [
+                            9.0,
+                            9.0,
+                            9.0
+                        ],
+                        [
+                            9.0,
+                            9.0,
+                            9.0
+                        ],
+                        [
+                            0.0,
+                            0.0,
+                            0.0
+                        ],
+                        [
+                            0.0,
+                            7.0,
+                            0.0
+                        ],
+                        [
+                            0.0,
+                            0.0,
+                            0.0
+                        ],
+                        [
+                            9.0,
+                            9.0,
+                            9.0
+                        ],
+                        [
+                            9.0,
+                            9.0,
+                            9.0
+                        ],
+                        [
+                            9.0,
+                            9.0,
+                            9.0
+                        ],
+                        [
+                            9.0,
+                            9.0,
+                            9.0
+                        ],
+                        [
+                            9.0,
+                            9.0,
+                            9.0
+                        ],
+                        [
+                            9.0,
+                            9.0,
+                            9.0
+                        ]
+                    ]
+                }
+            },
+            "Replicate 4": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 9, 9, 0, 0, 0, 0, 8, 0, 0, 0, 2, 2, 2, 0, 0, 8, 8, 0, 0], [0, 9, 9, 9, 0, 0, 0, 8, 8, 0, 0, 0, 2, 0, 0, 0, 8, 8, 8, 0], [0, 9, 9, 9, 0, 0, 8, 8, 8, 0, 0, 2, 2, 2, 0, 0, 8, 8, 8, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0.0, 0.0, 0.0], [0.0, 9.0, 0.0], [0.0, 0.0, 0.0], [8.0, 8.0, 8.0], [8.0, 8.0, 8.0], [8.0, 8.0, 8.0], [0.0, 0.0, 0.0], [0.0, 2.0, 0.0], [0.0, 0.0, 0.0], [8.0, 8.0, 8.0], [8.0, 8.0, 8.0], [8.0, 8.0, 8.0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 6, 6, 6, 0, 0, 0, 0, 9, 0, 0, 5, 5, 0, 0], [0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 6, 6, 6, 0, 0, 9, 9, 9, 0, 0, 5, 5, 5, 0], [0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 6, 6, 0, 0, 0, 9, 0, 9, 0, 0, 5, 5, 5, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[1.0, 1.0, 1.0], [1.0, 1.0, 1.0], [1.0, 1.0, 1.0], [1.0, 1.0, 1.0], [1.0, 1.0, 1.0], [1.0, 1.0, 1.0], [1.0, 1.0, 1.0], [1.0, 1.0, 1.0], [1.0, 1.0, 1.0], [0.0, 0.0, 0.0], [0.0, 6.0, 0.0], [0.0, 0.0, 0.0], [0.0, 0.0, 0.0], [0.0, 9.0, 0.0], [0.0, 0.0, 0.0], [0.0, 0.0, 0.0], [0.0, 5.0, 0.0], [0.0, 0.0, 0.0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 7, 7, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 6, 6, 6, 0, 0, 0, 2, 2, 0], [0, 7, 7, 7, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 5, 5, 5, 0, 0, 6, 6, 6, 0, 0, 0, 2, 2, 0], [0, 7, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 5, 5, 5, 0, 0, 0, 6, 6, 0, 0, 0, 2, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0.0, 0.0, 0.0], [0.0, 7.0, 0.0], [0.0, 0.0, 0.0], [2.0, 2.0, 2.0], [2.0, 2.0, 2.0], [2.0, 2.0, 2.0], [2.0, 2.0, 2.0], [2.0, 2.0, 2.0], [2.0, 2.0, 2.0], [0.0, 0.0, 0.0], [0.0, 5.0, 0.0], [0.0, 0.0, 0.0], [0.0, 0.0, 0.0], [0.0, 6.0, 0.0], [0.0, 0.0, 0.0], [2.0, 2.0, 2.0], [2.0, 2.0, 2.0], [2.0, 2.0, 2.0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 7, 7, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 3, 3, 3, 0, 0, 0, 2, 2, 0], [0, 7, 7, 7, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 5, 5, 5, 0, 0, 3, 3, 3, 0, 0, 0, 2, 2, 0], [0, 7, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 5, 5, 5, 0, 0, 0, 3, 3, 0, 0, 0, 2, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
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+                            0,
+                            0,
+                            0,
+                            0,
+                            0
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+                        [
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+                        [
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+                        [
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+                            0,
+                            0,
+                            0,
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+                    ],
+                    "output": [
+                        [
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+                            0.0,
+                            0.0
+                        ],
+                        [
+                            0.0,
+                            7.0,
+                            0.0
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+                        [
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+                            0.0,
+                            0.0
+                        ],
+                        [
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+                            2.0,
+                            2.0
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+                        [
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+                            2.0
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+                        [
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+                            2.0
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+                        [
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+                            2.0,
+                            2.0
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+                        [
+                            2.0,
+                            2.0,
+                            2.0
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+                        [
+                            2.0,
+                            2.0,
+                            2.0
+                        ],
+                        [
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+                            0.0,
+                            0.0
+                        ],
+                        [
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+                            5.0,
+                            0.0
+                        ],
+                        [
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+                            0.0,
+                            0.0
+                        ],
+                        [
+                            0.0,
+                            0.0,
+                            0.0
+                        ],
+                        [
+                            0.0,
+                            3.0,
+                            0.0
+                        ],
+                        [
+                            0.0,
+                            0.0,
+                            0.0
+                        ],
+                        [
+                            2.0,
+                            2.0,
+                            2.0
+                        ],
+                        [
+                            2.0,
+                            2.0,
+                            2.0
+                        ],
+                        [
+                            2.0,
+                            2.0,
+                            2.0
+                        ]
+                    ]
+                }
+            }
+        },
+        "L3": {
+            "Replicate 0": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 6, 6, 6, 0, 0, 0, 0, 9, 0, 0, 5, 5, 0, 0], [0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 6, 6, 6, 0, 0, 9, 9, 9, 0, 0, 5, 5, 5, 0], [0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 6, 6, 0, 0, 0, 9, 0, 9, 0, 0, 5, 5, 5, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[1.0, 1.0, 1.0], [1.0, 1.0, 1.0], [1.0, 1.0, 1.0], [1.0, 1.0, 1.0], [1.0, 1.0, 1.0], [1.0, 1.0, 1.0], [1.0, 1.0, 1.0], [1.0, 1.0, 1.0], [1.0, 1.0, 1.0], [0.0, 0.0, 0.0], [0.0, 6.0, 0.0], [0.0, 0.0, 0.0], [0.0, 0.0, 0.0], [0.0, 9.0, 0.0], [0.0, 0.0, 0.0], [0.0, 0.0, 0.0], [0.0, 5.0, 0.0], [0.0, 0.0, 0.0]]\nCounterfactual: Now imagine that we intervened on the previous input by rotating or flipping it.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 5, 0, 0, 9, 0, 0, 0, 0, 6, 6, 6, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0], [0, 5, 5, 5, 0, 0, 9, 9, 9, 0, 0, 6, 6, 6, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0], [0, 5, 5, 5, 0, 0, 9, 0, 9, 0, 0, 0, 6, 6, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[1.0, 1.0, 1.0], [1.0, 1.0, 1.0], [1.0, 1.0, 1.0], [1.0, 1.0, 1.0], [1.0, 1.0, 1.0], [1.0, 1.0, 1.0], [1.0, 1.0, 1.0], [1.0, 1.0, 1.0], [1.0, 1.0, 1.0], [0.0, 0.0, 0.0], [0.0, 6.0, 0.0], [0.0, 0.0, 0.0], [0.0, 0.0, 0.0], [0.0, 9.0, 0.0], [0.0, 0.0, 0.0], [0.0, 0.0, 0.0], [0.0, 5.0, 0.0], [0.0, 0.0, 0.0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 6, 0, 0, 0, 5, 5, 0, 0, 0, 0, 9, 0, 0, 7, 7, 7, 0, 0, 9, 9, 9, 0, 0, 9, 9, 9, 0], [0, 0, 6, 6, 0, 0, 5, 5, 5, 0, 0, 9, 9, 9, 0, 0, 7, 7, 7, 0, 0, 9, 9, 9, 0, 0, 9, 9, 9, 0], [0, 6, 6, 6, 0, 0, 0, 5, 5, 0, 0, 9, 9, 9, 0, 0, 7, 7, 7, 0, 0, 9, 9, 9, 0, 0, 9, 9, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0.0, 0.0, 0.0], [0.0, 6.0, 0.0], [0.0, 0.0, 0.0], [0.0, 0.0, 0.0], [0.0, 5.0, 0.0], [0.0, 0.0, 0.0], [9.0, 9.0, 9.0], [9.0, 9.0, 9.0], [9.0, 9.0, 9.0], [0.0, 0.0, 0.0], [0.0, 7.0, 0.0], [0.0, 0.0, 0.0], [9.0, 9.0, 9.0], [9.0, 9.0, 9.0], [9.0, 9.0, 9.0], [9.0, 9.0, 9.0], [9.0, 9.0, 9.0], [9.0, 9.0, 9.0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 6, 0, 0, 0, 5, 5, 0, 0, 0, 0, 4, 0, 0, 7, 7, 7, 0, 0, 4, 4, 4, 0, 0, 4, 4, 4, 0], [0, 0, 6, 6, 0, 0, 5, 5, 5, 0, 0, 4, 4, 4, 0, 0, 7, 7, 7, 0, 0, 4, 4, 4, 0, 0, 4, 4, 4, 0], [0, 6, 6, 6, 0, 0, 0, 5, 5, 0, 0, 4, 4, 4, 0, 0, 7, 7, 7, 0, 0, 4, 4, 4, 0, 0, 4, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0.0, 0.0, 0.0], [0.0, 6.0, 0.0], [0.0, 0.0, 0.0], [0.0, 0.0, 0.0], [0.0, 5.0, 0.0], [0.0, 0.0, 0.0], [4.0, 4.0, 4.0], [4.0, 4.0, 4.0], [4.0, 4.0, 4.0], [0.0, 0.0, 0.0], [0.0, 7.0, 0.0], [0.0, 0.0, 0.0], [4.0, 4.0, 4.0], [4.0, 4.0, 4.0], [4.0, 4.0, 4.0], [4.0, 4.0, 4.0], [4.0, 4.0, 4.0], [4.0, 4.0, 4.0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 6, 0, 0, 0, 5, 5, 0, 0, 0, 0, 9, 0, 0, 2, 2, 2, 0, 0, 9, 9, 9, 0, 0, 9, 9, 9, 0], [0, 0, 6, 6, 0, 0, 5, 5, 5, 0, 0, 9, 9, 9, 0, 0, 2, 2, 2, 0, 0, 9, 9, 9, 0, 0, 9, 9, 9, 0], [0, 6, 6, 6, 0, 0, 0, 5, 5, 0, 0, 9, 9, 9, 0, 0, 2, 2, 2, 0, 0, 9, 9, 9, 0, 0, 9, 9, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> ",
+                "test": {
+                    "input": [
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+                        [
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+                    ],
+                    "output": [
+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                            2.0,
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+                        [
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+                            0.0,
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+                        [
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+                        [
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+                        [
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+                        [
+                            9.0,
+                            9.0,
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+                        [
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+                            9.0,
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+                        [
+                            9.0,
+                            9.0,
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+                        ]
+                    ]
+                }
+            },
+            "Replicate 1": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 7, 7, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 6, 6, 6, 0, 0, 0, 2, 2, 0], [0, 7, 7, 7, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 5, 5, 5, 0, 0, 6, 6, 6, 0, 0, 0, 2, 2, 0], [0, 7, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 5, 5, 5, 0, 0, 0, 6, 6, 0, 0, 0, 2, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0.0, 0.0, 0.0], [0.0, 7.0, 0.0], [0.0, 0.0, 0.0], [2.0, 2.0, 2.0], [2.0, 2.0, 2.0], [2.0, 2.0, 2.0], [2.0, 2.0, 2.0], [2.0, 2.0, 2.0], [2.0, 2.0, 2.0], [0.0, 0.0, 0.0], [0.0, 5.0, 0.0], [0.0, 0.0, 0.0], [0.0, 0.0, 0.0], [0.0, 6.0, 0.0], [0.0, 0.0, 0.0], [2.0, 2.0, 2.0], [2.0, 2.0, 2.0], [2.0, 2.0, 2.0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 7, 7, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 6, 6, 6, 0, 0, 0, 8, 8, 0], [0, 7, 7, 7, 0, 0, 8, 8, 8, 0, 0, 8, 8, 8, 0, 0, 5, 5, 5, 0, 0, 6, 6, 6, 0, 0, 0, 8, 8, 0], [0, 7, 0, 0, 0, 0, 8, 8, 8, 0, 0, 8, 8, 8, 0, 0, 5, 5, 5, 0, 0, 0, 6, 6, 0, 0, 0, 8, 8, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0.0, 0.0, 0.0], [0.0, 7.0, 0.0], [0.0, 0.0, 0.0], [8.0, 8.0, 8.0], [8.0, 8.0, 8.0], [8.0, 8.0, 8.0], [8.0, 8.0, 8.0], [8.0, 8.0, 8.0], [8.0, 8.0, 8.0], [0.0, 0.0, 0.0], [0.0, 5.0, 0.0], [0.0, 0.0, 0.0], [0.0, 0.0, 0.0], [0.0, 6.0, 0.0], [0.0, 0.0, 0.0], [8.0, 8.0, 8.0], [8.0, 8.0, 8.0], [8.0, 8.0, 8.0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 7, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 0, 6, 6, 6, 0, 0, 1, 1, 1, 0, 0, 5, 0, 5, 0], [0, 7, 7, 0, 0, 0, 7, 7, 0, 0, 0, 7, 7, 7, 0, 0, 6, 6, 6, 0, 0, 1, 0, 1, 0, 0, 5, 0, 5, 0], [0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 0, 6, 6, 0, 0, 0, 1, 1, 0, 0, 0, 5, 5, 5, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[7.0, 7.0, 7.0], [7.0, 7.0, 7.0], [7.0, 7.0, 7.0], [7.0, 7.0, 7.0], [7.0, 7.0, 7.0], [7.0, 7.0, 7.0], [7.0, 7.0, 7.0], [7.0, 7.0, 7.0], [7.0, 7.0, 7.0], [0.0, 0.0, 0.0], [0.0, 6.0, 0.0], [0.0, 0.0, 0.0], [0.0, 0.0, 0.0], [0.0, 1.0, 0.0], [0.0, 0.0, 0.0], [0.0, 0.0, 0.0], [0.0, 5.0, 0.0], [0.0, 0.0, 0.0]]\nCounterfactual: Now imagine that we intervened on the previous input by rotating or flipping it.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 5, 0, 5, 0, 0, 1, 1, 1, 0, 0, 6, 6, 6, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 0, 7, 0, 0, 0], [0, 5, 0, 5, 0, 0, 1, 0, 1, 0, 0, 6, 6, 6, 0, 0, 7, 7, 7, 0, 0, 0, 7, 7, 0, 0, 0, 7, 7, 0], [0, 5, 5, 5, 0, 0, 0, 1, 1, 0, 0, 0, 6, 6, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[7.0, 7.0, 7.0], [7.0, 7.0, 7.0], [7.0, 7.0, 7.0], [7.0, 7.0, 7.0], [7.0, 7.0, 7.0], [7.0, 7.0, 7.0], [7.0, 7.0, 7.0], [7.0, 7.0, 7.0], [7.0, 7.0, 7.0], [0.0, 0.0, 0.0], [0.0, 6.0, 0.0], [0.0, 0.0, 0.0], [0.0, 0.0, 0.0], [0.0, 1.0, 0.0], [0.0, 0.0, 0.0], [0.0, 0.0, 0.0], [0.0, 5.0, 0.0], [0.0, 0.0, 0.0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 6, 6, 6, 0, 0, 1, 1, 1, 0, 0, 5, 0, 5, 0], [0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 6, 6, 6, 0, 0, 1, 0, 1, 0, 0, 5, 0, 5, 0], [0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 6, 6, 0, 0, 0, 1, 1, 0, 0, 0, 5, 5, 5, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> ",
+                "test": {
+                    "input": [
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+                            0,
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+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ]
+                    ],
+                    "output": [
+                        [
+                            2.0,
+                            2.0,
+                            2.0
+                        ],
+                        [
+                            2.0,
+                            2.0,
+                            2.0
+                        ],
+                        [
+                            2.0,
+                            2.0,
+                            2.0
+                        ],
+                        [
+                            2.0,
+                            2.0,
+                            2.0
+                        ],
+                        [
+                            2.0,
+                            2.0,
+                            2.0
+                        ],
+                        [
+                            2.0,
+                            2.0,
+                            2.0
+                        ],
+                        [
+                            2.0,
+                            2.0,
+                            2.0
+                        ],
+                        [
+                            2.0,
+                            2.0,
+                            2.0
+                        ],
+                        [
+                            2.0,
+                            2.0,
+                            2.0
+                        ],
+                        [
+                            0.0,
+                            0.0,
+                            0.0
+                        ],
+                        [
+                            0.0,
+                            6.0,
+                            0.0
+                        ],
+                        [
+                            0.0,
+                            0.0,
+                            0.0
+                        ],
+                        [
+                            0.0,
+                            0.0,
+                            0.0
+                        ],
+                        [
+                            0.0,
+                            1.0,
+                            0.0
+                        ],
+                        [
+                            0.0,
+                            0.0,
+                            0.0
+                        ],
+                        [
+                            0.0,
+                            0.0,
+                            0.0
+                        ],
+                        [
+                            0.0,
+                            5.0,
+                            0.0
+                        ],
+                        [
+                            0.0,
+                            0.0,
+                            0.0
+                        ]
+                    ]
+                }
+            },
+            "Replicate 2": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 7, 7, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 6, 6, 6, 0, 0, 0, 2, 2, 0], [0, 7, 7, 7, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 5, 5, 5, 0, 0, 6, 6, 6, 0, 0, 0, 2, 2, 0], [0, 7, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 5, 5, 5, 0, 0, 0, 6, 6, 0, 0, 0, 2, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0.0, 0.0, 0.0], [0.0, 7.0, 0.0], [0.0, 0.0, 0.0], [2.0, 2.0, 2.0], [2.0, 2.0, 2.0], [2.0, 2.0, 2.0], [2.0, 2.0, 2.0], [2.0, 2.0, 2.0], [2.0, 2.0, 2.0], [0.0, 0.0, 0.0], [0.0, 5.0, 0.0], [0.0, 0.0, 0.0], [0.0, 0.0, 0.0], [0.0, 6.0, 0.0], [0.0, 0.0, 0.0], [2.0, 2.0, 2.0], [2.0, 2.0, 2.0], [2.0, 2.0, 2.0]]\nCounterfactual: Now imagine that we intervened on the previous input by rotating or flipping it.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 6, 6, 6, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 7, 7, 7, 0], [0, 2, 2, 0, 0, 0, 6, 6, 6, 0, 0, 5, 5, 5, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 7, 7, 7, 0], [0, 2, 2, 0, 0, 0, 6, 6, 0, 0, 0, 5, 5, 5, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 7, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0.0, 0.0, 0.0], [0.0, 7.0, 0.0], [0.0, 0.0, 0.0], [2.0, 2.0, 2.0], [2.0, 2.0, 2.0], [2.0, 2.0, 2.0], [2.0, 2.0, 2.0], [2.0, 2.0, 2.0], [2.0, 2.0, 2.0], [0.0, 0.0, 0.0], [0.0, 5.0, 0.0], [0.0, 0.0, 0.0], [0.0, 0.0, 0.0], [0.0, 6.0, 0.0], [0.0, 0.0, 0.0], [2.0, 2.0, 2.0], [2.0, 2.0, 2.0], [2.0, 2.0, 2.0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 7, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 0, 6, 6, 6, 0, 0, 1, 1, 1, 0, 0, 5, 0, 5, 0], [0, 7, 7, 0, 0, 0, 7, 7, 0, 0, 0, 7, 7, 7, 0, 0, 6, 6, 6, 0, 0, 1, 0, 1, 0, 0, 5, 0, 5, 0], [0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 0, 6, 6, 0, 0, 0, 1, 1, 0, 0, 0, 5, 5, 5, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[7.0, 7.0, 7.0], [7.0, 7.0, 7.0], [7.0, 7.0, 7.0], [7.0, 7.0, 7.0], [7.0, 7.0, 7.0], [7.0, 7.0, 7.0], [7.0, 7.0, 7.0], [7.0, 7.0, 7.0], [7.0, 7.0, 7.0], [0.0, 0.0, 0.0], [0.0, 6.0, 0.0], [0.0, 0.0, 0.0], [0.0, 0.0, 0.0], [0.0, 1.0, 0.0], [0.0, 0.0, 0.0], [0.0, 0.0, 0.0], [0.0, 5.0, 0.0], [0.0, 0.0, 0.0]]\nCounterfactual: Now imagine that we intervened on the previous input by rotating or flipping it.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 5, 0, 5, 0, 0, 1, 1, 1, 0, 0, 6, 6, 6, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 0, 7, 0, 0, 0], [0, 5, 0, 5, 0, 0, 1, 0, 1, 0, 0, 6, 6, 6, 0, 0, 7, 7, 7, 0, 0, 0, 7, 7, 0, 0, 0, 7, 7, 0], [0, 5, 5, 5, 0, 0, 0, 1, 1, 0, 0, 0, 6, 6, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[7.0, 7.0, 7.0], [7.0, 7.0, 7.0], [7.0, 7.0, 7.0], [7.0, 7.0, 7.0], [7.0, 7.0, 7.0], [7.0, 7.0, 7.0], [7.0, 7.0, 7.0], [7.0, 7.0, 7.0], [7.0, 7.0, 7.0], [0.0, 0.0, 0.0], [0.0, 6.0, 0.0], [0.0, 0.0, 0.0], [0.0, 0.0, 0.0], [0.0, 1.0, 0.0], [0.0, 0.0, 0.0], [0.0, 0.0, 0.0], [0.0, 5.0, 0.0], [0.0, 0.0, 0.0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 7, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 0, 9, 9, 9, 0, 0, 1, 1, 1, 0, 0, 5, 0, 5, 0], [0, 7, 7, 0, 0, 0, 7, 7, 0, 0, 0, 7, 7, 7, 0, 0, 9, 9, 9, 0, 0, 1, 0, 1, 0, 0, 5, 0, 5, 0], [0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 0, 9, 9, 0, 0, 0, 1, 1, 0, 0, 0, 5, 5, 5, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
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+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            7,
+                            0,
+                            0,
+                            7,
+                            7,
+                            7,
+                            0,
+                            0,
+                            7,
+                            7,
+                            7,
+                            0,
+                            0,
+                            9,
+                            9,
+                            9,
+                            0,
+                            0,
+                            1,
+                            1,
+                            1,
+                            0,
+                            0,
+                            5,
+                            0,
+                            5,
+                            0
+                        ],
+                        [
+                            0,
+                            7,
+                            7,
+                            0,
+                            0,
+                            0,
+                            7,
+                            7,
+                            0,
+                            0,
+                            0,
+                            7,
+                            7,
+                            7,
+                            0,
+                            0,
+                            9,
+                            9,
+                            9,
+                            0,
+                            0,
+                            1,
+                            0,
+                            1,
+                            0,
+                            0,
+                            5,
+                            0,
+                            5,
+                            0
+                        ],
+                        [
+                            0,
+                            7,
+                            7,
+                            7,
+                            0,
+                            0,
+                            7,
+                            7,
+                            7,
+                            0,
+                            0,
+                            7,
+                            7,
+                            7,
+                            0,
+                            0,
+                            9,
+                            9,
+                            0,
+                            0,
+                            0,
+                            1,
+                            1,
+                            0,
+                            0,
+                            0,
+                            5,
+                            5,
+                            5,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ]
+                    ],
+                    "output": [
+                        [
+                            7.0,
+                            7.0,
+                            7.0
+                        ],
+                        [
+                            7.0,
+                            7.0,
+                            7.0
+                        ],
+                        [
+                            7.0,
+                            7.0,
+                            7.0
+                        ],
+                        [
+                            7.0,
+                            7.0,
+                            7.0
+                        ],
+                        [
+                            7.0,
+                            7.0,
+                            7.0
+                        ],
+                        [
+                            7.0,
+                            7.0,
+                            7.0
+                        ],
+                        [
+                            7.0,
+                            7.0,
+                            7.0
+                        ],
+                        [
+                            7.0,
+                            7.0,
+                            7.0
+                        ],
+                        [
+                            7.0,
+                            7.0,
+                            7.0
+                        ],
+                        [
+                            0.0,
+                            0.0,
+                            0.0
+                        ],
+                        [
+                            0.0,
+                            9.0,
+                            0.0
+                        ],
+                        [
+                            0.0,
+                            0.0,
+                            0.0
+                        ],
+                        [
+                            0.0,
+                            0.0,
+                            0.0
+                        ],
+                        [
+                            0.0,
+                            1.0,
+                            0.0
+                        ],
+                        [
+                            0.0,
+                            0.0,
+                            0.0
+                        ],
+                        [
+                            0.0,
+                            0.0,
+                            0.0
+                        ],
+                        [
+                            0.0,
+                            5.0,
+                            0.0
+                        ],
+                        [
+                            0.0,
+                            0.0,
+                            0.0
+                        ]
+                    ]
+                }
+            },
+            "Replicate 3": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 7, 7, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 6, 6, 6, 0, 0, 0, 2, 2, 0], [0, 7, 7, 7, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 5, 5, 5, 0, 0, 6, 6, 6, 0, 0, 0, 2, 2, 0], [0, 7, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 5, 5, 5, 0, 0, 0, 6, 6, 0, 0, 0, 2, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0.0, 0.0, 0.0], [0.0, 7.0, 0.0], [0.0, 0.0, 0.0], [2.0, 2.0, 2.0], [2.0, 2.0, 2.0], [2.0, 2.0, 2.0], [2.0, 2.0, 2.0], [2.0, 2.0, 2.0], [2.0, 2.0, 2.0], [0.0, 0.0, 0.0], [0.0, 5.0, 0.0], [0.0, 0.0, 0.0], [0.0, 0.0, 0.0], [0.0, 6.0, 0.0], [0.0, 0.0, 0.0], [2.0, 2.0, 2.0], [2.0, 2.0, 2.0], [2.0, 2.0, 2.0]]\nCounterfactual: Now imagine that we intervened on the previous input by rotating or flipping it.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 6, 6, 6, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 7, 7, 7, 0], [0, 2, 2, 0, 0, 0, 6, 6, 6, 0, 0, 5, 5, 5, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 7, 7, 7, 0], [0, 2, 2, 0, 0, 0, 6, 6, 0, 0, 0, 5, 5, 5, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 7, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0.0, 0.0, 0.0], [0.0, 7.0, 0.0], [0.0, 0.0, 0.0], [2.0, 2.0, 2.0], [2.0, 2.0, 2.0], [2.0, 2.0, 2.0], [2.0, 2.0, 2.0], [2.0, 2.0, 2.0], [2.0, 2.0, 2.0], [0.0, 0.0, 0.0], [0.0, 5.0, 0.0], [0.0, 0.0, 0.0], [0.0, 0.0, 0.0], [0.0, 6.0, 0.0], [0.0, 0.0, 0.0], [2.0, 2.0, 2.0], [2.0, 2.0, 2.0], [2.0, 2.0, 2.0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 7, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 0, 6, 6, 6, 0, 0, 1, 1, 1, 0, 0, 5, 0, 5, 0], [0, 7, 7, 0, 0, 0, 7, 7, 0, 0, 0, 7, 7, 7, 0, 0, 6, 6, 6, 0, 0, 1, 0, 1, 0, 0, 5, 0, 5, 0], [0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 0, 6, 6, 0, 0, 0, 1, 1, 0, 0, 0, 5, 5, 5, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[7.0, 7.0, 7.0], [7.0, 7.0, 7.0], [7.0, 7.0, 7.0], [7.0, 7.0, 7.0], [7.0, 7.0, 7.0], [7.0, 7.0, 7.0], [7.0, 7.0, 7.0], [7.0, 7.0, 7.0], [7.0, 7.0, 7.0], [0.0, 0.0, 0.0], [0.0, 6.0, 0.0], [0.0, 0.0, 0.0], [0.0, 0.0, 0.0], [0.0, 1.0, 0.0], [0.0, 0.0, 0.0], [0.0, 0.0, 0.0], [0.0, 5.0, 0.0], [0.0, 0.0, 0.0]]\nCounterfactual: Now imagine that we intervened on the previous input by rotating or flipping it.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 5, 0, 5, 0, 0, 1, 1, 1, 0, 0, 6, 6, 6, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 0, 7, 0, 0, 0], [0, 5, 0, 5, 0, 0, 1, 0, 1, 0, 0, 6, 6, 6, 0, 0, 7, 7, 7, 0, 0, 0, 7, 7, 0, 0, 0, 7, 7, 0], [0, 5, 5, 5, 0, 0, 0, 1, 1, 0, 0, 0, 6, 6, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[7.0, 7.0, 7.0], [7.0, 7.0, 7.0], [7.0, 7.0, 7.0], [7.0, 7.0, 7.0], [7.0, 7.0, 7.0], [7.0, 7.0, 7.0], [7.0, 7.0, 7.0], [7.0, 7.0, 7.0], [7.0, 7.0, 7.0], [0.0, 0.0, 0.0], [0.0, 6.0, 0.0], [0.0, 0.0, 0.0], [0.0, 0.0, 0.0], [0.0, 1.0, 0.0], [0.0, 0.0, 0.0], [0.0, 0.0, 0.0], [0.0, 5.0, 0.0], [0.0, 0.0, 0.0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 6, 6, 6, 0, 0, 1, 1, 1, 0, 0, 5, 0, 5, 0], [0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 6, 6, 6, 0, 0, 1, 0, 1, 0, 0, 5, 0, 5, 0], [0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 6, 6, 0, 0, 0, 1, 1, 0, 0, 0, 5, 5, 5, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            1,
+                            1,
+                            1,
+                            0,
+                            0,
+                            5,
+                            0,
+                            5,
+                            0
+                        ],
+                        [
+                            0,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            1,
+                            0,
+                            1,
+                            0,
+                            0,
+                            5,
+                            0,
+                            5,
+                            0
+                        ],
+                        [
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            6,
+                            6,
+                            0,
+                            0,
+                            0,
+                            1,
+                            1,
+                            0,
+                            0,
+                            0,
+                            5,
+                            5,
+                            5,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ]
+                    ],
+                    "output": [
+                        [
+                            2.0,
+                            2.0,
+                            2.0
+                        ],
+                        [
+                            2.0,
+                            2.0,
+                            2.0
+                        ],
+                        [
+                            2.0,
+                            2.0,
+                            2.0
+                        ],
+                        [
+                            2.0,
+                            2.0,
+                            2.0
+                        ],
+                        [
+                            2.0,
+                            2.0,
+                            2.0
+                        ],
+                        [
+                            2.0,
+                            2.0,
+                            2.0
+                        ],
+                        [
+                            2.0,
+                            2.0,
+                            2.0
+                        ],
+                        [
+                            2.0,
+                            2.0,
+                            2.0
+                        ],
+                        [
+                            2.0,
+                            2.0,
+                            2.0
+                        ],
+                        [
+                            0.0,
+                            0.0,
+                            0.0
+                        ],
+                        [
+                            0.0,
+                            6.0,
+                            0.0
+                        ],
+                        [
+                            0.0,
+                            0.0,
+                            0.0
+                        ],
+                        [
+                            0.0,
+                            0.0,
+                            0.0
+                        ],
+                        [
+                            0.0,
+                            1.0,
+                            0.0
+                        ],
+                        [
+                            0.0,
+                            0.0,
+                            0.0
+                        ],
+                        [
+                            0.0,
+                            0.0,
+                            0.0
+                        ],
+                        [
+                            0.0,
+                            5.0,
+                            0.0
+                        ],
+                        [
+                            0.0,
+                            0.0,
+                            0.0
+                        ]
+                    ]
+                }
+            },
+            "Replicate 4": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 9, 9, 0, 0, 0, 0, 8, 0, 0, 0, 2, 2, 2, 0, 0, 8, 8, 0, 0], [0, 9, 9, 9, 0, 0, 0, 8, 8, 0, 0, 0, 2, 0, 0, 0, 8, 8, 8, 0], [0, 9, 9, 9, 0, 0, 8, 8, 8, 0, 0, 2, 2, 2, 0, 0, 8, 8, 8, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0.0, 0.0, 0.0], [0.0, 9.0, 0.0], [0.0, 0.0, 0.0], [8.0, 8.0, 8.0], [8.0, 8.0, 8.0], [8.0, 8.0, 8.0], [0.0, 0.0, 0.0], [0.0, 2.0, 0.0], [0.0, 0.0, 0.0], [8.0, 8.0, 8.0], [8.0, 8.0, 8.0], [8.0, 8.0, 8.0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 9, 9, 0, 0, 0, 0, 8, 0, 0, 0, 3, 3, 3, 0, 0, 8, 8, 0, 0], [0, 9, 9, 9, 0, 0, 0, 8, 8, 0, 0, 0, 3, 0, 0, 0, 8, 8, 8, 0], [0, 9, 9, 9, 0, 0, 8, 8, 8, 0, 0, 3, 3, 3, 0, 0, 8, 8, 8, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0.0, 0.0, 0.0], [0.0, 9.0, 0.0], [0.0, 0.0, 0.0], [8.0, 8.0, 8.0], [8.0, 8.0, 8.0], [8.0, 8.0, 8.0], [0.0, 0.0, 0.0], [0.0, 3.0, 0.0], [0.0, 0.0, 0.0], [8.0, 8.0, 8.0], [8.0, 8.0, 8.0], [8.0, 8.0, 8.0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 6, 6, 6, 0, 0, 0, 0, 9, 0, 0, 5, 5, 0, 0], [0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 6, 6, 6, 0, 0, 9, 9, 9, 0, 0, 5, 5, 5, 0], [0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 6, 6, 0, 0, 0, 9, 0, 9, 0, 0, 5, 5, 5, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[1.0, 1.0, 1.0], [1.0, 1.0, 1.0], [1.0, 1.0, 1.0], [1.0, 1.0, 1.0], [1.0, 1.0, 1.0], [1.0, 1.0, 1.0], [1.0, 1.0, 1.0], [1.0, 1.0, 1.0], [1.0, 1.0, 1.0], [0.0, 0.0, 0.0], [0.0, 6.0, 0.0], [0.0, 0.0, 0.0], [0.0, 0.0, 0.0], [0.0, 9.0, 0.0], [0.0, 0.0, 0.0], [0.0, 0.0, 0.0], [0.0, 5.0, 0.0], [0.0, 0.0, 0.0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 6, 6, 6, 0, 0, 0, 0, 2, 0, 0, 5, 5, 0, 0], [0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 6, 6, 6, 0, 0, 2, 2, 2, 0, 0, 5, 5, 5, 0], [0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 6, 6, 0, 0, 0, 2, 0, 2, 0, 0, 5, 5, 5, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[1.0, 1.0, 1.0], [1.0, 1.0, 1.0], [1.0, 1.0, 1.0], [1.0, 1.0, 1.0], [1.0, 1.0, 1.0], [1.0, 1.0, 1.0], [1.0, 1.0, 1.0], [1.0, 1.0, 1.0], [1.0, 1.0, 1.0], [0.0, 0.0, 0.0], [0.0, 6.0, 0.0], [0.0, 0.0, 0.0], [0.0, 0.0, 0.0], [0.0, 2.0, 0.0], [0.0, 0.0, 0.0], [0.0, 0.0, 0.0], [0.0, 5.0, 0.0], [0.0, 0.0, 0.0]]\nCounterfactual: Now imagine that we intervened on the previous input by rotating or flipping it.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 5, 0, 0, 9, 0, 0, 0, 0, 6, 6, 6, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0], [0, 5, 5, 5, 0, 0, 9, 9, 9, 0, 0, 6, 6, 6, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0], [0, 5, 5, 5, 0, 0, 9, 0, 9, 0, 0, 0, 6, 6, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            5,
+                            5,
+                            0,
+                            0,
+                            9,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            1,
+                            1,
+                            0,
+                            0,
+                            0,
+                            1,
+                            1,
+                            0,
+                            0,
+                            0,
+                            1,
+                            1,
+                            1,
+                            0
+                        ],
+                        [
+                            0,
+                            5,
+                            5,
+                            5,
+                            0,
+                            0,
+                            9,
+                            9,
+                            9,
+                            0,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            1,
+                            1,
+                            1,
+                            0,
+                            0,
+                            0,
+                            1,
+                            1,
+                            0,
+                            0,
+                            1,
+                            0,
+                            1,
+                            0
+                        ],
+                        [
+                            0,
+                            5,
+                            5,
+                            5,
+                            0,
+                            0,
+                            9,
+                            0,
+                            9,
+                            0,
+                            0,
+                            0,
+                            6,
+                            6,
+                            0,
+                            0,
+                            0,
+                            1,
+                            1,
+                            0,
+                            0,
+                            1,
+                            0,
+                            1,
+                            0,
+                            0,
+                            1,
+                            0,
+                            1,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ]
+                    ],
+                    "output": [
+                        [
+                            1.0,
+                            1.0,
+                            1.0
+                        ],
+                        [
+                            1.0,
+                            1.0,
+                            1.0
+                        ],
+                        [
+                            1.0,
+                            1.0,
+                            1.0
+                        ],
+                        [
+                            1.0,
+                            1.0,
+                            1.0
+                        ],
+                        [
+                            1.0,
+                            1.0,
+                            1.0
+                        ],
+                        [
+                            1.0,
+                            1.0,
+                            1.0
+                        ],
+                        [
+                            1.0,
+                            1.0,
+                            1.0
+                        ],
+                        [
+                            1.0,
+                            1.0,
+                            1.0
+                        ],
+                        [
+                            1.0,
+                            1.0,
+                            1.0
+                        ],
+                        [
+                            0.0,
+                            0.0,
+                            0.0
+                        ],
+                        [
+                            0.0,
+                            6.0,
+                            0.0
+                        ],
+                        [
+                            0.0,
+                            0.0,
+                            0.0
+                        ],
+                        [
+                            0.0,
+                            0.0,
+                            0.0
+                        ],
+                        [
+                            0.0,
+                            9.0,
+                            0.0
+                        ],
+                        [
+                            0.0,
+                            0.0,
+                            0.0
+                        ],
+                        [
+                            0.0,
+                            0.0,
+                            0.0
+                        ],
+                        [
+                            0.0,
+                            5.0,
+                            0.0
+                        ],
+                        [
+                            0.0,
+                            0.0,
+                            0.0
+                        ]
+                    ]
+                }
+            }
+        }
+    },
+    "SCMm5ob": {
+        "L1": {
+            "Replicate 0": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 8, 6, 0, 0, 0, 0, 2, 3, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0], [0, 2, 3, 0, 0, 0, 0, 0, 3, 0, 0, 2, 0, 0, 0, 0, 0, 6, 8, 3, 0, 0, 8, 8, 0], [0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 3, 0, 0, 0, 0, 3, 6, 0], [0, 0, 0, 0, 0, 8, 3, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 8, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 3, 0, 2, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 3, 0, 6, 2, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 3, 0, 6, 0, 0, 0, 2], [2, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 8, 0, 0, 0, 0, 2, 0, 0, 0], [0, 0, 0, 2, 0, 8, 2, 0, 2, 0, 0, 8, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0], [0, 0, 6, 0, 0, 0, 0, 3, 0, 0, 0, 0, 6, 2, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 3], [3, 0, 6, 0, 0, 8, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 8, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 2, 0, 8, 0, 2, 6, 0, 0, 0, 0], [6, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 2, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 8, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 3, 0, 0], [3, 0, 0, 2, 2, 0, 0, 0, 0, 3, 0, 0, 2, 0, 8, 0, 0, 0, 0, 0, 8, 6, 0, 8, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 3, 0, 8, 0, 0, 8, 0, 0, 0], [3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 2, 0, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 3, 0, 0, 0, 0, 0, 6, 8, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 8, 0, 0, 6, 0, 0]] -> [[6, 0, 0, 0], [6, 0, 0, 0], [6, 0, 0, 0], [6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 2, 0], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8]]\nExample input-output arrays:\n[[0, 0, 2, 6, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 6, 0, 0], [0, 0, 3, 0, 2, 0, 0, 0, 0, 0, 0, 6, 0, 2, 3, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0], [0, 3, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 3, 0, 8, 0, 8], [0, 2, 0, 0, 0, 0, 0, 0, 2, 6, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 3, 0, 0, 0], [0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8], [6, 2, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 3, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 8, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 6, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2], [0, 6, 6, 2, 0, 0, 0, 0, 8, 0, 0, 8, 3, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0], [0, 6, 8, 0, 0, 0, 6, 0, 0, 0, 6, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 6, 0], [0, 0, 0, 0, 2, 2, 2, 3, 0, 2, 0, 8, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 3, 6, 3, 3, 6, 0, 0, 6, 0, 8, 0], [0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 2, 0, 0, 0, 0, 6, 0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 8, 0, 0, 0, 0, 0, 3, 0, 0, 0, 8], [0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 2, 8, 8, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 6, 0, 0, 0], [2, 3, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 6, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 3, 8, 0, 0, 0, 3], [0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 2, 0, 2, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 0, 2, 8, 0, 6, 8, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 3], [0, 2, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 2, 0, 0, 0, 8, 0, 6, 0, 0, 0, 0]] -> [[0, 3, 0, 0], [0, 3, 0, 0], [6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8]]\nExample input-output arrays:\n[[0, 8, 0, 0, 0, 0, 0, 0, 2, 3, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 3, 0], [0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 8, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 3], [0, 0, 3, 0, 0, 8, 8, 0, 0, 0, 0, 0, 3, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 8], [0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 3, 0, 0, 8, 0, 0, 0, 0, 2, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 3, 0, 3, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 8], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0], [8, 2, 0, 3, 0, 0, 6, 0, 0, 0, 8, 8, 0, 8, 0, 6, 2, 0, 0, 8, 0, 0, 0, 0, 0], [0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 8, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 8, 8, 0], [0, 0, 0, 0, 0, 6, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 8], [2, 6, 6, 3, 0, 6, 3, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 2, 0], [0, 0, 0, 2, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 8, 0, 2, 8, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 8, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0], [0, 0, 2, 6, 0, 0, 0, 0, 6, 2, 2, 0, 6, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 8, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 8, 0, 3, 0, 0, 0, 0, 0, 6, 0], [8, 0, 0, 2, 8, 0, 0, 6, 2, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 6, 0, 0, 8, 0, 0, 0, 0, 6, 0, 0, 0, 0, 8, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 3, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 3, 0, 0, 3, 0, 0]] -> [[0, 0, 0, 8], [0, 0, 0, 8], [0, 0, 0, 8], [0, 0, 0, 8], [0, 0, 0, 8], [0, 0, 0, 8], [0, 0, 2, 8], [0, 0, 2, 8], [0, 0, 2, 8], [0, 0, 2, 8], [0, 0, 2, 8], [0, 3, 2, 8], [0, 3, 2, 8], [0, 3, 2, 8], [0, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8]]\nCounterfactual: Now imagine that we intervened on the previous input by rotating or flipping it.\n[[0, 3, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 3, 2, 0, 0, 0, 0, 0, 0, 8, 0], [3, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 8, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0], [8, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 3, 0, 0, 0, 0, 0, 8, 8, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 2, 0, 0, 0, 0, 8, 0, 0, 3, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 3, 0, 3, 0, 0, 0], [8, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 8, 0, 0, 2, 6, 0, 8, 0, 8, 8, 0, 0, 0, 6, 0, 0, 3, 0, 2, 8], [0, 0, 0, 0, 8, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0], [0, 8, 8, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 6, 0, 0, 0, 0, 0], [8, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 3, 6, 0, 3, 6, 6, 2], [0, 2, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 6], [0, 0, 0, 0, 0, 8, 2, 0, 8, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 8, 0, 0, 0, 0, 0, 0, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 6, 0, 2, 2, 6, 0, 0, 0, 0, 6, 2, 0, 0], [0, 6, 0, 0, 0, 0, 0, 3, 0, 8, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 8, 2, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 2, 6, 0, 0, 8, 2, 0, 0, 8], [0, 0, 0, 0, 6, 0, 8, 0, 0, 0, 0, 6, 0, 0, 0, 0, 8, 0, 0, 6, 0, 0, 0, 0, 0], [0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 0, 3, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 3, 0, 0, 0, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
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+                        [
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+                    "output": [
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+                }
+            },
+            "Replicate 1": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 2, 6, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 6, 0, 0], [0, 0, 3, 0, 2, 0, 0, 0, 0, 0, 0, 6, 0, 2, 3, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0], [0, 3, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 3, 0, 8, 0, 8], [0, 2, 0, 0, 0, 0, 0, 0, 2, 6, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 3, 0, 0, 0], [0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8], [6, 2, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 3, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 8, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 6, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2], [0, 6, 6, 2, 0, 0, 0, 0, 8, 0, 0, 8, 3, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0], [0, 6, 8, 0, 0, 0, 6, 0, 0, 0, 6, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 6, 0], [0, 0, 0, 0, 2, 2, 2, 3, 0, 2, 0, 8, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 3, 6, 3, 3, 6, 0, 0, 6, 0, 8, 0], [0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 2, 0, 0, 0, 0, 6, 0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 8, 0, 0, 0, 0, 0, 3, 0, 0, 0, 8], [0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 2, 8, 8, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 6, 0, 0, 0], [2, 3, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 6, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 3, 8, 0, 0, 0, 3], [0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 2, 0, 2, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 0, 2, 8, 0, 6, 8, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 3], [0, 2, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 2, 0, 0, 0, 8, 0, 6, 0, 0, 0, 0]] -> [[0, 3, 0, 0], [0, 3, 0, 0], [6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8]]\nExample input-output arrays:\n[[0, 0, 2, 6, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 6, 0, 0], [0, 0, 3, 0, 2, 0, 0, 0, 0, 0, 0, 6, 0, 2, 3, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0], [0, 3, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 3, 0, 8, 0, 8], [0, 2, 0, 0, 0, 0, 0, 0, 2, 6, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 3, 0, 0, 0], [0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8], [6, 2, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 3, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 8, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 6, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2], [0, 6, 6, 2, 0, 0, 0, 0, 8, 0, 0, 8, 3, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0], [0, 6, 8, 0, 0, 0, 6, 0, 0, 0, 6, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 6, 0], [0, 0, 0, 0, 2, 2, 2, 3, 0, 2, 0, 8, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 3, 6, 3, 3, 6, 0, 0, 6, 0, 8, 0], [0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 2, 0, 0, 0, 0, 6, 0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 8, 0, 0, 0, 0, 0, 3, 0, 0, 0, 8], [0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 2, 8, 8, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 6, 0, 0, 0], [2, 3, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 6, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 3, 8, 0, 0, 0, 3], [0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 2, 0, 2, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 0, 2, 8, 0, 6, 8, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 3], [0, 2, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 2, 0, 0, 0, 8, 0, 6, 0, 0, 0, 0]] -> [[0, 3, 0, 0], [0, 3, 0, 0], [6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8]]\nExample input-output arrays:\n[[0, 0, 2, 6, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 6, 0, 0], [0, 0, 3, 0, 2, 0, 0, 0, 0, 0, 0, 6, 0, 2, 3, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0], [0, 3, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 3, 0, 8, 0, 8], [0, 2, 0, 0, 0, 0, 0, 0, 2, 6, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 3, 0, 0, 0], [0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8], [6, 2, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 3, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 8, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 6, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2], [0, 6, 6, 2, 0, 0, 0, 0, 8, 0, 0, 8, 3, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0], [0, 6, 8, 0, 0, 0, 6, 0, 0, 0, 6, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 6, 0], [0, 0, 0, 0, 2, 2, 2, 3, 0, 2, 0, 8, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 3, 6, 3, 3, 6, 0, 0, 6, 0, 8, 0], [0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 2, 0, 0, 0, 0, 6, 0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 8, 0, 0, 0, 0, 0, 3, 0, 0, 0, 8], [0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 2, 8, 8, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 6, 0, 0, 0], [2, 3, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 6, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 3, 8, 0, 0, 0, 3], [0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 2, 0, 2, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 0, 2, 8, 0, 6, 8, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 3], [0, 2, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 2, 0, 0, 0, 8, 0, 6, 0, 0, 0, 0]] -> [[0, 3, 0, 0], [0, 3, 0, 0], [6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8]]\nCounterfactual: Now imagine that we intervened on the previous input by rotating or flipping it.\n[[0, 2, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 2, 0, 0, 0, 8, 0, 6, 0, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 0, 2, 8, 0, 6, 8, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 3], [0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 2, 0, 2, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0], [0, 6, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 3, 8, 0, 0, 0, 3], [0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 3, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 6, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 6, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 2, 8, 8, 0, 0, 0], [0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 8, 0, 0, 0, 0, 0, 3, 0, 0, 0, 8], [0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 2, 0, 0, 0, 0, 6, 0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 3, 6, 3, 3, 6, 0, 0, 6, 0, 8, 0], [0, 0, 0, 0, 2, 2, 2, 3, 0, 2, 0, 8, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 8, 0, 0, 0, 6, 0, 0, 0, 6, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 6, 0], [0, 6, 6, 2, 0, 0, 0, 0, 8, 0, 0, 8, 3, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 2, 0, 6, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 8, 0, 0, 2, 0, 0, 0, 0, 0, 0], [6, 2, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 3, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8], [0, 2, 0, 0, 0, 0, 0, 0, 2, 6, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 3, 0, 0, 0], [0, 3, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 3, 0, 8, 0, 8], [0, 0, 3, 0, 2, 0, 0, 0, 0, 0, 0, 6, 0, 2, 3, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 2, 6, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 6, 0, 0]] -> ",
+                "test": {
+                    "input": [
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+                    ],
+                    "output": [
+                        [
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+                            3,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            3,
+                            0,
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        ],
+                        [
+                            6,
+                            3,
+                            2,
+                            8
+                        ],
+                        [
+                            6,
+                            3,
+                            2,
+                            8
+                        ],
+                        [
+                            6,
+                            3,
+                            2,
+                            8
+                        ],
+                        [
+                            6,
+                            3,
+                            2,
+                            8
+                        ],
+                        [
+                            6,
+                            3,
+                            2,
+                            8
+                        ],
+                        [
+                            6,
+                            3,
+                            2,
+                            8
+                        ],
+                        [
+                            6,
+                            3,
+                            2,
+                            8
+                        ],
+                        [
+                            6,
+                            3,
+                            2,
+                            8
+                        ],
+                        [
+                            6,
+                            3,
+                            2,
+                            8
+                        ],
+                        [
+                            6,
+                            3,
+                            2,
+                            8
+                        ],
+                        [
+                            6,
+                            3,
+                            2,
+                            8
+                        ],
+                        [
+                            6,
+                            3,
+                            2,
+                            8
+                        ],
+                        [
+                            6,
+                            3,
+                            2,
+                            8
+                        ],
+                        [
+                            6,
+                            3,
+                            2,
+                            8
+                        ],
+                        [
+                            6,
+                            3,
+                            2,
+                            8
+                        ],
+                        [
+                            6,
+                            3,
+                            2,
+                            8
+                        ],
+                        [
+                            6,
+                            3,
+                            2,
+                            8
+                        ],
+                        [
+                            6,
+                            3,
+                            2,
+                            8
+                        ],
+                        [
+                            6,
+                            3,
+                            2,
+                            8
+                        ]
+                    ]
+                }
+            },
+            "Replicate 2": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 2, 6, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 6, 0, 0], [0, 0, 3, 0, 2, 0, 0, 0, 0, 0, 0, 6, 0, 2, 3, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0], [0, 3, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 3, 0, 8, 0, 8], [0, 2, 0, 0, 0, 0, 0, 0, 2, 6, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 3, 0, 0, 0], [0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8], [6, 2, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 3, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 8, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 6, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2], [0, 6, 6, 2, 0, 0, 0, 0, 8, 0, 0, 8, 3, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0], [0, 6, 8, 0, 0, 0, 6, 0, 0, 0, 6, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 6, 0], [0, 0, 0, 0, 2, 2, 2, 3, 0, 2, 0, 8, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 3, 6, 3, 3, 6, 0, 0, 6, 0, 8, 0], [0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 2, 0, 0, 0, 0, 6, 0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 8, 0, 0, 0, 0, 0, 3, 0, 0, 0, 8], [0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 2, 8, 8, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 6, 0, 0, 0], [2, 3, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 6, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 3, 8, 0, 0, 0, 3], [0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 2, 0, 2, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 0, 2, 8, 0, 6, 8, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 3], [0, 2, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 2, 0, 0, 0, 8, 0, 6, 0, 0, 0, 0]] -> [[0, 3, 0, 0], [0, 3, 0, 0], [6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8]]\nExample input-output arrays:\n[[0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 8, 6, 0, 0, 0, 0, 2, 3, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0], [0, 2, 3, 0, 0, 0, 0, 0, 3, 0, 0, 2, 0, 0, 0, 0, 0, 6, 8, 3, 0, 0, 8, 8, 0], [0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 3, 0, 0, 0, 0, 3, 6, 0], [0, 0, 0, 0, 0, 8, 3, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 8, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 3, 0, 2, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 3, 0, 6, 2, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 3, 0, 6, 0, 0, 0, 2], [2, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 8, 0, 0, 0, 0, 2, 0, 0, 0], [0, 0, 0, 2, 0, 8, 2, 0, 2, 0, 0, 8, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0], [0, 0, 6, 0, 0, 0, 0, 3, 0, 0, 0, 0, 6, 2, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 3], [3, 0, 6, 0, 0, 8, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 8, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 2, 0, 8, 0, 2, 6, 0, 0, 0, 0], [6, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 2, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 8, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 3, 0, 0], [3, 0, 0, 2, 2, 0, 0, 0, 0, 3, 0, 0, 2, 0, 8, 0, 0, 0, 0, 0, 8, 6, 0, 8, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 3, 0, 8, 0, 0, 8, 0, 0, 0], [3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 2, 0, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 3, 0, 0, 0, 0, 0, 6, 8, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 8, 0, 0, 6, 0, 0]] -> [[6, 0, 0, 0], [6, 0, 0, 0], [6, 0, 0, 0], [6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 2, 0], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8]]\nExample input-output arrays:\n[[0, 0, 2, 0, 0, 6, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 3, 0, 0, 3, 3, 3, 0, 0, 8, 0, 0, 0, 0, 0], [0, 0, 6, 0, 0, 0, 3, 0, 3, 6, 8, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 3, 2, 0, 0, 0, 0, 0, 0, 0], [3, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 3, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 8, 3, 0], [0, 6, 0, 8, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 6, 8, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 3, 0], [0, 0, 0, 3, 2, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 8, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 3, 2, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0], [0, 8, 6, 0, 0, 0, 0, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0], [0, 6, 2, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 8, 0, 0, 0, 0, 0, 8, 0, 0, 8, 0, 0], [0, 0, 0, 0, 6, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0], [0, 0, 0, 0, 2, 0, 8, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 2, 0, 0, 0, 6], [0, 0, 0, 6, 6, 0, 6, 0, 3, 3, 0, 0, 8, 0, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 6, 0, 3, 0, 3, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 3, 0, 0, 3, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 3, 0, 0, 0, 0, 3, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 8, 0, 0, 6, 8, 2, 0, 0, 0, 0, 0, 0, 0, 0, 3], [0, 8, 0, 3, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 2, 6, 0, 0, 2, 0, 6], [3, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 8], [0, 0, 0, 6, 0, 0, 0, 3, 3, 0, 0, 6, 6, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 3, 0, 8, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 2, 0], [6, 3, 2, 0], [6, 3, 2, 0], [6, 3, 2, 0], [6, 3, 2, 0], [6, 3, 2, 0], [6, 3, 2, 0], [6, 3, 2, 0], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 2, 0, 0, 6, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0], [0, 0, 6, 0, 0, 0, 0, 0, 0, 6, 8, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 8, 0, 0], [0, 6, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 8, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0], [0, 8, 6, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0], [0, 6, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 8, 0, 0, 8, 0, 0], [0, 0, 0, 0, 6, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0], [0, 0, 0, 0, 2, 0, 8, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 6], [0, 0, 0, 6, 6, 0, 6, 0, 0, 0, 0, 0, 8, 0, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 8, 0, 0, 6, 8, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 2, 6, 0, 0, 2, 0, 6], [0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 8], [0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            8,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            8,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            8,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            6,
+                            0,
+                            8,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            8,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
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+            },
+            "Replicate 3": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 8, 0, 0, 0, 0, 0, 0, 2, 3, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 3, 0], [0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 8, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 3], [0, 0, 3, 0, 0, 8, 8, 0, 0, 0, 0, 0, 3, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 8], [0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 3, 0, 0, 8, 0, 0, 0, 0, 2, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 3, 0, 3, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 8], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0], [8, 2, 0, 3, 0, 0, 6, 0, 0, 0, 8, 8, 0, 8, 0, 6, 2, 0, 0, 8, 0, 0, 0, 0, 0], [0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 8, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 8, 8, 0], [0, 0, 0, 0, 0, 6, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 8], [2, 6, 6, 3, 0, 6, 3, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 2, 0], [0, 0, 0, 2, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 8, 0, 2, 8, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 8, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0], [0, 0, 2, 6, 0, 0, 0, 0, 6, 2, 2, 0, 6, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 8, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 8, 0, 3, 0, 0, 0, 0, 0, 6, 0], [8, 0, 0, 2, 8, 0, 0, 6, 2, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 6, 0, 0, 8, 0, 0, 0, 0, 6, 0, 0, 0, 0, 8, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 3, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 3, 0, 0, 3, 0, 0]] -> [[0, 0, 0, 8], [0, 0, 0, 8], [0, 0, 0, 8], [0, 0, 0, 8], [0, 0, 0, 8], [0, 0, 0, 8], [0, 0, 2, 8], [0, 0, 2, 8], [0, 0, 2, 8], [0, 0, 2, 8], [0, 0, 2, 8], [0, 3, 2, 8], [0, 3, 2, 8], [0, 3, 2, 8], [0, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8]]\nExample input-output arrays:\n[[0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 8, 6, 0, 0, 0, 0, 2, 3, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0], [0, 2, 3, 0, 0, 0, 0, 0, 3, 0, 0, 2, 0, 0, 0, 0, 0, 6, 8, 3, 0, 0, 8, 8, 0], [0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 3, 0, 0, 0, 0, 3, 6, 0], [0, 0, 0, 0, 0, 8, 3, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 8, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 3, 0, 2, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 3, 0, 6, 2, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 3, 0, 6, 0, 0, 0, 2], [2, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 8, 0, 0, 0, 0, 2, 0, 0, 0], [0, 0, 0, 2, 0, 8, 2, 0, 2, 0, 0, 8, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0], [0, 0, 6, 0, 0, 0, 0, 3, 0, 0, 0, 0, 6, 2, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 3], [3, 0, 6, 0, 0, 8, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 8, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 2, 0, 8, 0, 2, 6, 0, 0, 0, 0], [6, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 2, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 8, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 3, 0, 0], [3, 0, 0, 2, 2, 0, 0, 0, 0, 3, 0, 0, 2, 0, 8, 0, 0, 0, 0, 0, 8, 6, 0, 8, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 3, 0, 8, 0, 0, 8, 0, 0, 0], [3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 2, 0, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 3, 0, 0, 0, 0, 0, 6, 8, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 8, 0, 0, 6, 0, 0]] -> [[6, 0, 0, 0], [6, 0, 0, 0], [6, 0, 0, 0], [6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 2, 0], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8]]\nExample input-output arrays:\n[[0, 0, 2, 0, 0, 6, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 3, 0, 0, 3, 3, 3, 0, 0, 8, 0, 0, 0, 0, 0], [0, 0, 6, 0, 0, 0, 3, 0, 3, 6, 8, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 3, 2, 0, 0, 0, 0, 0, 0, 0], [3, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 3, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 8, 3, 0], [0, 6, 0, 8, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 6, 8, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 3, 0], [0, 0, 0, 3, 2, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 8, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 3, 2, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0], [0, 8, 6, 0, 0, 0, 0, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0], [0, 6, 2, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 8, 0, 0, 0, 0, 0, 8, 0, 0, 8, 0, 0], [0, 0, 0, 0, 6, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0], [0, 0, 0, 0, 2, 0, 8, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 2, 0, 0, 0, 6], [0, 0, 0, 6, 6, 0, 6, 0, 3, 3, 0, 0, 8, 0, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 6, 0, 3, 0, 3, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 3, 0, 0, 3, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 3, 0, 0, 0, 0, 3, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 8, 0, 0, 6, 8, 2, 0, 0, 0, 0, 0, 0, 0, 0, 3], [0, 8, 0, 3, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 2, 6, 0, 0, 2, 0, 6], [3, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 8], [0, 0, 0, 6, 0, 0, 0, 3, 3, 0, 0, 6, 6, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 3, 0, 8, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 2, 0], [6, 3, 2, 0], [6, 3, 2, 0], [6, 3, 2, 0], [6, 3, 2, 0], [6, 3, 2, 0], [6, 3, 2, 0], [6, 3, 2, 0], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[4, 4, 2, 4, 4, 6, 4, 4, 2, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [6, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 3, 4, 4, 3, 3, 3, 4, 4, 8, 4, 4, 4, 4, 4], [4, 4, 6, 4, 4, 4, 3, 4, 3, 6, 8, 4, 4, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6], [4, 4, 4, 4, 2, 4, 4, 4, 4, 4, 2, 4, 4, 4, 4, 4, 3, 2, 4, 4, 4, 4, 4, 4, 4], [3, 4, 4, 2, 4, 4, 4, 4, 2, 4, 4, 3, 4, 4, 4, 4, 6, 4, 4, 4, 4, 4, 8, 3, 4], [4, 6, 4, 8, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 6, 8, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 6, 6, 6, 4, 4, 4, 6, 4, 4, 3, 4], [4, 4, 4, 3, 2, 4, 4, 4, 4, 4, 4, 8, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 8, 2], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 3, 3, 2, 4, 4, 4, 6, 4, 4, 4, 4, 4, 4, 4], [4, 8, 6, 4, 4, 4, 4, 3, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 4, 4, 4, 4, 4, 4], [4, 6, 2, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 8, 4, 4, 4, 4, 4, 8, 4, 4, 8, 4, 4], [4, 4, 4, 4, 6, 4, 4, 4, 4, 2, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 4], [4, 4, 4, 4, 2, 4, 8, 4, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 6, 6, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 2, 4, 4, 4, 6], [4, 4, 4, 6, 6, 4, 6, 4, 3, 3, 4, 4, 8, 4, 6, 4, 4, 4, 4, 4, 6, 4, 4, 4, 4], [4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 6, 4, 3, 4, 3, 4, 4, 4, 4, 2, 2, 4, 4, 4, 4], [4, 4, 4, 4, 4, 3, 4, 4, 3, 4, 4, 4, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4], [4, 4, 3, 4, 4, 4, 4, 3, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 8, 4, 8, 4, 4, 6, 8, 2, 4, 4, 4, 4, 4, 4, 4, 4, 3], [4, 8, 4, 3, 4, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 4, 4, 2, 6, 4, 4, 2, 4, 6], [3, 4, 4, 4, 4, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 6, 4, 4, 4, 4, 4, 4, 8], [4, 4, 4, 6, 4, 4, 4, 3, 3, 4, 4, 6, 6, 4, 4, 4, 4, 4, 2, 4, 4, 4, 4, 4, 4], [8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 4, 3, 4, 8, 4, 4, 4, 4, 4], [2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 4, 4, 4, 4, 8, 4, 4, 4, 4, 4, 4, 4, 4]] -> ",
+                "test": {
+                    "input": [
+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            8,
+                            4,
+                            8,
+                            4,
+                            4,
+                            6,
+                            8,
+                            2,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            3
+                        ],
+                        [
+                            4,
+                            8,
+                            4,
+                            3,
+                            4,
+                            6,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            6,
+                            4,
+                            4,
+                            2,
+                            6,
+                            4,
+                            4,
+                            2,
+                            4,
+                            6
+                        ],
+                        [
+                            3,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            2,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            6
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            3,
+                            4,
+                            4,
+                            4,
+                            6,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            8
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            6,
+                            4,
+                            4,
+                            4,
+                            3,
+                            3,
+                            4,
+                            4,
+                            6,
+                            6,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            2,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            8,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            8,
+                            4,
+                            3,
+                            4,
+                            8,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            2,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            6,
+                            6,
+                            4,
+                            4,
+                            4,
+                            4,
+                            8,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4
+                        ]
+                    ],
+                    "output": [
+                        [
+                            6,
+                            3,
+                            4,
+                            4
+                        ],
+                        [
+                            6,
+                            3,
+                            4,
+                            4
+                        ],
+                        [
+                            6,
+                            3,
+                            4,
+                            4
+                        ],
+                        [
+                            6,
+                            3,
+                            4,
+                            4
+                        ],
+                        [
+                            6,
+                            3,
+                            4,
+                            4
+                        ],
+                        [
+                            6,
+                            3,
+                            4,
+                            4
+                        ],
+                        [
+                            6,
+                            3,
+                            4,
+                            4
+                        ],
+                        [
+                            6,
+                            3,
+                            4,
+                            4
+                        ],
+                        [
+                            6,
+                            3,
+                            2,
+                            4
+                        ],
+                        [
+                            6,
+                            3,
+                            2,
+                            4
+                        ],
+                        [
+                            6,
+                            3,
+                            2,
+                            4
+                        ],
+                        [
+                            6,
+                            3,
+                            2,
+                            4
+                        ],
+                        [
+                            6,
+                            3,
+                            2,
+                            4
+                        ],
+                        [
+                            6,
+                            3,
+                            2,
+                            4
+                        ],
+                        [
+                            6,
+                            3,
+                            2,
+                            4
+                        ],
+                        [
+                            6,
+                            3,
+                            2,
+                            4
+                        ],
+                        [
+                            6,
+                            3,
+                            2,
+                            8
+                        ],
+                        [
+                            6,
+                            3,
+                            2,
+                            8
+                        ],
+                        [
+                            6,
+                            3,
+                            2,
+                            8
+                        ],
+                        [
+                            6,
+                            3,
+                            2,
+                            8
+                        ],
+                        [
+                            6,
+                            3,
+                            2,
+                            8
+                        ],
+                        [
+                            6,
+                            3,
+                            2,
+                            8
+                        ],
+                        [
+                            6,
+                            3,
+                            2,
+                            8
+                        ],
+                        [
+                            6,
+                            3,
+                            2,
+                            8
+                        ],
+                        [
+                            6,
+                            3,
+                            2,
+                            8
+                        ],
+                        [
+                            6,
+                            3,
+                            2,
+                            8
+                        ],
+                        [
+                            6,
+                            3,
+                            2,
+                            8
+                        ],
+                        [
+                            6,
+                            3,
+                            2,
+                            8
+                        ],
+                        [
+                            6,
+                            3,
+                            2,
+                            8
+                        ],
+                        [
+                            6,
+                            3,
+                            2,
+                            8
+                        ],
+                        [
+                            6,
+                            3,
+                            2,
+                            8
+                        ],
+                        [
+                            6,
+                            3,
+                            2,
+                            8
+                        ],
+                        [
+                            6,
+                            3,
+                            2,
+                            8
+                        ],
+                        [
+                            6,
+                            3,
+                            2,
+                            8
+                        ],
+                        [
+                            6,
+                            3,
+                            2,
+                            8
+                        ],
+                        [
+                            6,
+                            3,
+                            2,
+                            8
+                        ],
+                        [
+                            6,
+                            3,
+                            2,
+                            8
+                        ],
+                        [
+                            6,
+                            3,
+                            2,
+                            8
+                        ],
+                        [
+                            6,
+                            3,
+                            2,
+                            8
+                        ]
+                    ]
+                }
+            },
+            "Replicate 4": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 6, 0, 0, 0], [0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 3, 0, 0, 0, 0, 0, 2, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 6, 2, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 3, 6, 0, 0, 0, 8, 0, 2, 0, 0, 0, 2, 0, 0, 3, 6, 0, 8, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0], [0, 0, 8, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 3, 6, 0], [0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 8, 2, 6, 0, 0, 2, 3, 0, 6, 0, 0, 0, 0, 0, 8], [0, 2, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 3, 0, 6, 0, 0], [0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 8, 0, 0, 0, 8, 0], [0, 0, 0, 0, 6, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0], [0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 6, 0, 6, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 3, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [8, 0, 8, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 6, 0, 0, 6, 6], [0, 0, 0, 0, 6, 0, 3, 0, 0, 0, 8, 8, 0, 8, 8, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 8, 0, 0, 2, 3, 3, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 6, 0, 0, 0, 3], [0, 0, 8, 0, 6, 0, 6, 0, 0, 0, 0, 6, 0, 0, 0, 0, 6, 0, 0, 0, 0, 3, 0, 6, 0], [0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 3, 3, 2, 0, 0], [0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 6, 2, 0, 0, 0, 3, 0, 0, 3, 0, 0, 0, 2, 0, 0, 6, 0, 0, 0, 2, 0, 0], [0, 0, 8, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 2, 0, 0, 0, 2, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 2, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0], [0, 8, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 3, 8, 0, 2, 0, 3, 0, 0, 0, 0, 3, 0, 6]] -> [[6, 0, 0, 0], [6, 0, 0, 0], [6, 0, 0, 0], [6, 3, 0, 8], [6, 3, 0, 8], [6, 3, 0, 8], [6, 3, 0, 8], [6, 3, 0, 8], [6, 3, 0, 8], [6, 3, 0, 8], [6, 3, 0, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8]]\nExample input-output arrays:\n[[0, 0, 2, 0, 0, 6, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 3, 0, 0, 3, 3, 3, 0, 0, 8, 0, 0, 0, 0, 0], [0, 0, 6, 0, 0, 0, 3, 0, 3, 6, 8, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 3, 2, 0, 0, 0, 0, 0, 0, 0], [3, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 3, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 8, 3, 0], [0, 6, 0, 8, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 6, 8, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 3, 0], [0, 0, 0, 3, 2, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 8, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 3, 2, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0], [0, 8, 6, 0, 0, 0, 0, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0], [0, 6, 2, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 8, 0, 0, 0, 0, 0, 8, 0, 0, 8, 0, 0], [0, 0, 0, 0, 6, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0], [0, 0, 0, 0, 2, 0, 8, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 2, 0, 0, 0, 6], [0, 0, 0, 6, 6, 0, 6, 0, 3, 3, 0, 0, 8, 0, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 6, 0, 3, 0, 3, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 3, 0, 0, 3, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 3, 0, 0, 0, 0, 3, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 8, 0, 0, 6, 8, 2, 0, 0, 0, 0, 0, 0, 0, 0, 3], [0, 8, 0, 3, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 2, 6, 0, 0, 2, 0, 6], [3, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 8], [0, 0, 0, 6, 0, 0, 0, 3, 3, 0, 0, 6, 6, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 3, 0, 8, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 2, 0], [6, 3, 2, 0], [6, 3, 2, 0], [6, 3, 2, 0], [6, 3, 2, 0], [6, 3, 2, 0], [6, 3, 2, 0], [6, 3, 2, 0], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8]]\nExample input-output arrays:\n[[0, 0, 2, 6, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 6, 0, 0], [0, 0, 3, 0, 2, 0, 0, 0, 0, 0, 0, 6, 0, 2, 3, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0], [0, 3, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 3, 0, 8, 0, 8], [0, 2, 0, 0, 0, 0, 0, 0, 2, 6, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 3, 0, 0, 0], [0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8], [6, 2, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 3, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 8, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 6, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2], [0, 6, 6, 2, 0, 0, 0, 0, 8, 0, 0, 8, 3, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0], [0, 6, 8, 0, 0, 0, 6, 0, 0, 0, 6, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 6, 0], [0, 0, 0, 0, 2, 2, 2, 3, 0, 2, 0, 8, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 3, 6, 3, 3, 6, 0, 0, 6, 0, 8, 0], [0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 2, 0, 0, 0, 0, 6, 0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 8, 0, 0, 0, 0, 0, 3, 0, 0, 0, 8], [0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 2, 8, 8, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 6, 0, 0, 0], [2, 3, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 6, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 3, 8, 0, 0, 0, 3], [0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 2, 0, 2, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 0, 2, 8, 0, 6, 8, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 3], [0, 2, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 2, 0, 0, 0, 8, 0, 6, 0, 0, 0, 0]] -> [[0, 3, 0, 0], [0, 3, 0, 0], [6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8]]\nCounterfactual: Now imagine that we intervened on the previous input by rotating or flipping it.\n[[0, 0, 6, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 6, 2, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 3, 2, 0, 6, 0, 0, 0, 0, 0, 0, 2, 0, 3, 0, 0], [8, 0, 8, 0, 3, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 3, 0], [0, 0, 0, 3, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 6, 2, 0, 0, 0, 0, 0, 0, 2, 0], [8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 3, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 2, 6], [0, 0, 0, 0, 0, 0, 2, 0, 0, 8, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6], [2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 6, 0, 2, 0, 0, 0, 0], [0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 3, 8, 0, 0, 8, 0, 0, 0, 0, 2, 6, 6, 0], [0, 6, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 6, 0, 0, 0, 6, 0, 0, 0, 8, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 8, 0, 2, 0, 3, 2, 2, 2, 0, 0, 0, 0], [0, 8, 0, 6, 0, 0, 6, 3, 3, 6, 3, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 6, 0, 0, 0, 0, 2, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0], [8, 0, 0, 0, 3, 0, 0, 0, 0, 0, 8, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0], [0, 0, 0, 8, 8, 2, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6], [0, 0, 0, 6, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 6, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 3, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0], [3, 0, 0, 0, 8, 3, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 6, 0], [0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 2, 0, 2, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 8, 6, 0, 8, 2, 0, 0, 0, 0, 0, 0, 6, 0], [0, 0, 0, 0, 6, 0, 8, 0, 0, 0, 2, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 2, 0]] -> ",
+                "test": {
+                    "input": [
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+                    ],
+                    "output": [
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+                        ],
+                        [
+                            6,
+                            3,
+                            2,
+                            8
+                        ],
+                        [
+                            6,
+                            3,
+                            2,
+                            8
+                        ]
+                    ]
+                }
+            }
+        },
+        "L3": {
+            "Replicate 0": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 2, 6, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 6, 0, 0], [0, 0, 3, 0, 2, 0, 0, 0, 0, 0, 0, 6, 0, 2, 3, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0], [0, 3, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 3, 0, 8, 0, 8], [0, 2, 0, 0, 0, 0, 0, 0, 2, 6, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 3, 0, 0, 0], [0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8], [6, 2, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 3, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 8, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 6, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2], [0, 6, 6, 2, 0, 0, 0, 0, 8, 0, 0, 8, 3, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0], [0, 6, 8, 0, 0, 0, 6, 0, 0, 0, 6, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 6, 0], [0, 0, 0, 0, 2, 2, 2, 3, 0, 2, 0, 8, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 3, 6, 3, 3, 6, 0, 0, 6, 0, 8, 0], [0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 2, 0, 0, 0, 0, 6, 0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 8, 0, 0, 0, 0, 0, 3, 0, 0, 0, 8], [0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 2, 8, 8, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 6, 0, 0, 0], [2, 3, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 6, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 3, 8, 0, 0, 0, 3], [0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 2, 0, 2, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 0, 2, 8, 0, 6, 8, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 3], [0, 2, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 2, 0, 0, 0, 8, 0, 6, 0, 0, 0, 0]] -> [[0, 3, 0, 0], [0, 3, 0, 0], [6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8]]\nCounterfactual: Now imagine that we intervened on the previous input by rotating or flipping it.\n[[0, 0, 8, 0, 8, 0, 0, 2, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 3, 0, 0, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0], [6, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 0, 3, 0, 0, 0, 0, 3, 8, 0, 6, 2, 0, 0, 8, 6, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 3, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 8, 0, 0, 0, 0, 8, 0, 0, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 3, 0, 0, 0, 0], [0, 6, 0, 0, 0, 0, 2, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 8, 8], [0, 0, 0, 0, 0, 2, 0, 0, 3, 0, 0, 3, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 3, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 0, 0, 0, 8, 0, 0, 0, 0, 6, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0], [0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 8, 0, 0, 0, 0, 0, 8, 0, 0, 2, 0, 2], [0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 3, 2, 2, 3, 3, 0, 0, 8, 3, 3, 0, 0, 6, 0, 0, 0, 0, 2, 8, 6], [0, 6, 0, 0, 8, 0, 0, 0, 8, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 6, 0], [8, 0, 0, 8, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 3, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 3, 6, 0, 0, 0, 0, 8, 0], [0, 0, 0, 2, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 0, 0, 0, 0, 6, 0, 6, 2, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 6], [6, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0], [2, 3, 0, 0, 6, 0, 0, 0, 6, 8, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0], [0, 0, 3, 2, 0, 2, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 6, 0, 0, 6, 2], [0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 2, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 3, 0, 0], [0, 3, 0, 0], [6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8]]\nExample input-output arrays:\n[[0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 8, 6, 0, 0, 0, 0, 2, 3, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0], [0, 2, 3, 0, 0, 0, 0, 0, 3, 0, 0, 2, 0, 0, 0, 0, 0, 6, 8, 3, 0, 0, 8, 8, 0], [0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 3, 0, 0, 0, 0, 3, 6, 0], [0, 0, 0, 0, 0, 8, 3, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 8, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 3, 0, 2, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 3, 0, 6, 2, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 3, 0, 6, 0, 0, 0, 2], [2, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 8, 0, 0, 0, 0, 2, 0, 0, 0], [0, 0, 0, 2, 0, 8, 2, 0, 2, 0, 0, 8, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0], [0, 0, 6, 0, 0, 0, 0, 3, 0, 0, 0, 0, 6, 2, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 3], [3, 0, 6, 0, 0, 8, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 8, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 2, 0, 8, 0, 2, 6, 0, 0, 0, 0], [6, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 2, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 8, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 3, 0, 0], [3, 0, 0, 2, 2, 0, 0, 0, 0, 3, 0, 0, 2, 0, 8, 0, 0, 0, 0, 0, 8, 6, 0, 8, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 3, 0, 8, 0, 0, 8, 0, 0, 0], [3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 2, 0, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 3, 0, 0, 0, 0, 0, 6, 8, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 8, 0, 0, 6, 0, 0]] -> [[6, 0, 0, 0], [6, 0, 0, 0], [6, 0, 0, 0], [6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 2, 0], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 2, 3, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0], [0, 2, 3, 0, 0, 0, 0, 0, 3, 0, 0, 2, 0, 0, 0, 0, 0, 6, 0, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 3, 0, 0, 0, 0, 3, 6, 0], [0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 3, 0, 2, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 3, 0, 6, 2, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 3, 0, 6, 0, 0, 0, 2], [2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0], [0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0], [0, 0, 6, 0, 0, 0, 0, 3, 0, 0, 0, 0, 6, 2, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 3], [3, 0, 6, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 2, 0, 0, 0, 2, 6, 0, 0, 0, 0], [6, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 2, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 3, 0, 0], [3, 0, 0, 2, 2, 0, 0, 0, 0, 3, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 2, 0, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 3, 0, 0, 0, 0, 0, 6, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 6, 0, 0]] -> [[6, 0, 0, 0], [6, 0, 0, 0], [6, 0, 0, 0], [6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 2, 0], [6, 3, 2, 0], [6, 3, 2, 0], [6, 3, 2, 0], [6, 3, 2, 0], [6, 3, 2, 0], [6, 3, 2, 0], [6, 3, 2, 0], [6, 3, 2, 0], [6, 3, 2, 0], [6, 3, 2, 0], [6, 3, 2, 0], [6, 3, 2, 0], [6, 3, 2, 0], [6, 3, 2, 0], [6, 3, 2, 0], [6, 3, 2, 0], [6, 3, 2, 0], [6, 3, 2, 0], [6, 3, 2, 0], [6, 3, 2, 0], [6, 3, 2, 0], [6, 3, 2, 0], [6, 3, 2, 0], [6, 3, 2, 0], [6, 3, 2, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[1, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 8, 6, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 6, 1, 1, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1], [1, 2, 3, 1, 1, 1, 1, 1, 3, 1, 1, 2, 1, 1, 1, 1, 1, 6, 8, 3, 1, 1, 8, 8, 1], [1, 1, 1, 1, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 3, 1, 1, 1, 1, 3, 6, 1], [1, 1, 1, 1, 1, 8, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 8, 3, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 3, 3, 1, 2, 6, 1, 1, 1, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 1], [1, 6, 1, 1, 1, 1, 1, 1, 8, 1, 1, 1, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1], [1, 1, 1, 1, 3, 1, 6, 2, 1, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 6, 1, 3, 1, 6, 1, 1, 1, 2], [2, 1, 1, 1, 8, 1, 1, 1, 1, 1, 1, 1, 6, 1, 1, 1, 8, 1, 1, 1, 1, 2, 1, 1, 1], [1, 1, 1, 2, 1, 8, 2, 1, 2, 1, 1, 8, 1, 1, 1, 1, 1, 1, 6, 1, 6, 1, 1, 1, 1], [1, 1, 6, 1, 1, 1, 1, 3, 1, 1, 1, 1, 6, 2, 1, 1, 1, 1, 6, 1, 1, 1, 1, 1, 3], [3, 1, 6, 1, 1, 8, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 8, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 6, 1, 1, 1, 1, 2, 1, 8, 1, 2, 6, 1, 1, 1, 1], [6, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 2, 1, 1, 1, 1, 6, 1, 1, 1, 1, 1, 3, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 6, 1, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 8, 1, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 3, 1, 1], [3, 1, 1, 2, 2, 1, 1, 1, 1, 3, 1, 1, 2, 1, 8, 1, 1, 1, 1, 1, 8, 6, 1, 8, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 8, 1, 1, 1, 1, 1], [3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 8, 1, 1, 8, 1, 1, 1], [3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 6, 1, 1, 2, 1, 1, 1, 6, 1, 1, 1, 1], [1, 1, 1, 3, 1, 1, 1, 1, 1, 6, 8, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 8, 1, 1, 6, 1, 1]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            1,
+                            1,
+                            1,
+                            6,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            8,
+                            6,
+                            1,
+                            1,
+                            1,
+                            1,
+                            2,
+                            3,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1
+                        ],
+                        [
+                            1,
+                            1,
+                            1,
+                            1,
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+                    ]
+                }
+            },
+            "Replicate 1": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 2, 0, 0, 6, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 3, 0, 0, 3, 3, 3, 0, 0, 8, 0, 0, 0, 0, 0], [0, 0, 6, 0, 0, 0, 3, 0, 3, 6, 8, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 3, 2, 0, 0, 0, 0, 0, 0, 0], [3, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 3, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 8, 3, 0], [0, 6, 0, 8, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 6, 8, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 3, 0], [0, 0, 0, 3, 2, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 8, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 3, 2, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0], [0, 8, 6, 0, 0, 0, 0, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0], [0, 6, 2, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 8, 0, 0, 0, 0, 0, 8, 0, 0, 8, 0, 0], [0, 0, 0, 0, 6, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0], [0, 0, 0, 0, 2, 0, 8, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 2, 0, 0, 0, 6], [0, 0, 0, 6, 6, 0, 6, 0, 3, 3, 0, 0, 8, 0, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 6, 0, 3, 0, 3, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 3, 0, 0, 3, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 3, 0, 0, 0, 0, 3, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 8, 0, 0, 6, 8, 2, 0, 0, 0, 0, 0, 0, 0, 0, 3], [0, 8, 0, 3, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 2, 6, 0, 0, 2, 0, 6], [3, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 8], [0, 0, 0, 6, 0, 0, 0, 3, 3, 0, 0, 6, 6, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 3, 0, 8, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 2, 0], [6, 3, 2, 0], [6, 3, 2, 0], [6, 3, 2, 0], [6, 3, 2, 0], [6, 3, 2, 0], [6, 3, 2, 0], [6, 3, 2, 0], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 3, 0, 0, 3, 3, 3, 0, 0, 8, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 0, 3, 0, 8, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 3, 2, 0, 0, 0, 0, 0, 0, 0], [3, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 3, 0], [0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0], [0, 0, 0, 3, 2, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 8, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 0, 0, 0, 0, 0, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 8, 0, 0, 0, 0, 0, 8, 0, 0, 8, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0], [0, 0, 0, 0, 2, 0, 8, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 3, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 3, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 3, 0, 0, 0, 0, 3, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 8, 0, 0, 0, 8, 2, 0, 0, 0, 0, 0, 0, 0, 0, 3], [0, 8, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0], [3, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8], [0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 3, 0, 8, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 3, 0, 0], [0, 3, 0, 0], [0, 3, 0, 0], [0, 3, 0, 0], [0, 3, 0, 0], [0, 3, 0, 0], [0, 3, 0, 0], [0, 3, 0, 0], [0, 3, 2, 0], [0, 3, 2, 0], [0, 3, 2, 0], [0, 3, 2, 0], [0, 3, 2, 0], [0, 3, 2, 0], [0, 3, 2, 0], [0, 3, 2, 0], [0, 3, 2, 8], [0, 3, 2, 8], [0, 3, 2, 8], [0, 3, 2, 8], [0, 3, 2, 8], [0, 3, 2, 8], [0, 3, 2, 8], [0, 3, 2, 8], [0, 3, 2, 8], [0, 3, 2, 8], [0, 3, 2, 8], [0, 3, 2, 8], [0, 3, 2, 8], [0, 3, 2, 8], [0, 3, 2, 8], [0, 3, 2, 8], [0, 3, 2, 8], [0, 3, 2, 8], [0, 3, 2, 8], [0, 3, 2, 8], [0, 3, 2, 8], [0, 3, 2, 8], [0, 3, 2, 8]]\nExample input-output arrays:\n[[0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 6, 0, 0, 0], [0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 3, 0, 0, 0, 0, 0, 2, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 6, 2, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 3, 6, 0, 0, 0, 8, 0, 2, 0, 0, 0, 2, 0, 0, 3, 6, 0, 8, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0], [0, 0, 8, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 3, 6, 0], [0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 8, 2, 6, 0, 0, 2, 3, 0, 6, 0, 0, 0, 0, 0, 8], [0, 2, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 3, 0, 6, 0, 0], [0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 8, 0, 0, 0, 8, 0], [0, 0, 0, 0, 6, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0], [0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 6, 0, 6, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 3, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [8, 0, 8, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 6, 0, 0, 6, 6], [0, 0, 0, 0, 6, 0, 3, 0, 0, 0, 8, 8, 0, 8, 8, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 8, 0, 0, 2, 3, 3, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 6, 0, 0, 0, 3], [0, 0, 8, 0, 6, 0, 6, 0, 0, 0, 0, 6, 0, 0, 0, 0, 6, 0, 0, 0, 0, 3, 0, 6, 0], [0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 3, 3, 2, 0, 0], [0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 6, 2, 0, 0, 0, 3, 0, 0, 3, 0, 0, 0, 2, 0, 0, 6, 0, 0, 0, 2, 0, 0], [0, 0, 8, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 2, 0, 0, 0, 2, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 2, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0], [0, 8, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 3, 8, 0, 2, 0, 3, 0, 0, 0, 0, 3, 0, 6]] -> [[6, 0, 0, 0], [6, 0, 0, 0], [6, 0, 0, 0], [6, 3, 0, 8], [6, 3, 0, 8], [6, 3, 0, 8], [6, 3, 0, 8], [6, 3, 0, 8], [6, 3, 0, 8], [6, 3, 0, 8], [6, 3, 0, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 3, 0, 0, 0, 0, 0, 2, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 6, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 3, 6, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 3, 6, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 6, 0], [0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 2, 6, 0, 0, 2, 3, 0, 6, 0, 0, 0, 0, 0, 0], [0, 2, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 3, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 6, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 3, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 6, 0, 0, 6, 6], [0, 0, 0, 0, 6, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 3, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 6, 0, 0, 0, 3], [0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0, 6, 0, 0, 0, 0, 6, 0, 0, 0, 0, 3, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 3, 3, 2, 0, 0], [0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 6, 2, 0, 0, 0, 3, 0, 0, 3, 0, 0, 0, 2, 0, 0, 6, 0, 0, 0, 2, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 2, 0, 0, 0, 2, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0], [0, 0, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 3, 0, 0, 2, 0, 3, 0, 0, 0, 0, 3, 0, 6]] -> [[6, 0, 0, 0], [6, 0, 0, 0], [6, 0, 0, 0], [6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 2, 0], [6, 3, 2, 0], [6, 3, 2, 0], [6, 3, 2, 0], [6, 3, 2, 0], [6, 3, 2, 0], [6, 3, 2, 0], [6, 3, 2, 0], [6, 3, 2, 0], [6, 3, 2, 0], [6, 3, 2, 0], [6, 3, 2, 0], [6, 3, 2, 0], [6, 3, 2, 0], [6, 3, 2, 0], [6, 3, 2, 0], [6, 3, 2, 0], [6, 3, 2, 0], [6, 3, 2, 0], [6, 3, 2, 0], [6, 3, 2, 0], [6, 3, 2, 0], [6, 3, 2, 0], [6, 3, 2, 0], [6, 3, 2, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 4, 6, 4, 4, 4], [4, 4, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 3, 4, 4, 4, 4, 4, 2, 4], [2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4], [4, 4, 6, 2, 4, 4, 4, 8, 4, 4, 4, 4, 4, 4, 4, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 3, 6, 4, 4, 4, 8, 4, 2, 4, 4, 4, 2, 4, 4, 3, 6, 4, 8, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 4, 4, 4, 4, 4], [4, 4, 8, 4, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 4, 4, 4, 4, 4, 3, 6, 4], [4, 4, 4, 6, 4, 4, 4, 4, 4, 4, 8, 2, 6, 4, 4, 2, 3, 4, 6, 4, 4, 4, 4, 4, 8], [4, 2, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 4, 4, 4, 4, 3, 4, 6, 4, 4], [4, 4, 4, 4, 4, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 8, 4, 4, 4, 8, 4], [4, 4, 4, 4, 6, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 4, 4, 4, 4, 4, 4, 4], [4, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 6, 4, 6, 4, 4, 4, 2, 4, 4, 4, 4, 4, 4], [4, 3, 4, 4, 4, 4, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 4, 8, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 6, 4, 4, 6, 6], [4, 4, 4, 4, 6, 4, 3, 4, 4, 4, 8, 8, 4, 8, 8, 4, 4, 4, 4, 4, 2, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 8, 4, 4, 2, 3, 3, 3, 4, 4, 4, 3, 4, 4, 4, 3, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 3, 4, 4], [4, 4, 4, 4, 4, 4, 4, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 6, 4, 4, 4, 3], [4, 4, 8, 4, 6, 4, 6, 4, 4, 4, 4, 6, 4, 4, 4, 4, 6, 4, 4, 4, 4, 3, 4, 6, 4], [4, 4, 4, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 4, 4, 3, 3, 2, 4, 4], [4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [6, 4, 4, 6, 2, 4, 4, 4, 3, 4, 4, 3, 4, 4, 4, 2, 4, 4, 6, 4, 4, 4, 2, 4, 4], [4, 4, 8, 4, 4, 4, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 2, 4, 4, 4, 2, 6, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 4, 2, 4, 8, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4], [4, 8, 4, 6, 4, 6, 4, 4, 4, 4, 4, 4, 3, 8, 4, 2, 4, 3, 4, 4, 4, 4, 3, 4, 6]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            4,
+                            4,
+                            3,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
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+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            8,
+                            4,
+                            6,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
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+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
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+                            4,
+                            3,
+                            4,
+                            4,
+                            3,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            2,
+                            4
+                        ],
+                        [
+                            2,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            8,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            2,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            6,
+                            2,
+                            4,
+                            4,
+                            4,
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+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            8,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            3,
+                            6,
+                            4,
+                            4,
+                            4,
+                            8,
+                            4,
+                            2,
+                            4,
+                            4,
+                            4,
+                            2,
+                            4,
+                            4,
+                            3,
+                            6,
+                            4,
+                            8,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4
+                        ],
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+                }
+            },
+            "Replicate 2": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 2, 6, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 6, 0, 0], [0, 0, 3, 0, 2, 0, 0, 0, 0, 0, 0, 6, 0, 2, 3, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0], [0, 3, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 3, 0, 8, 0, 8], [0, 2, 0, 0, 0, 0, 0, 0, 2, 6, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 3, 0, 0, 0], [0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8], [6, 2, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 3, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 8, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 6, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2], [0, 6, 6, 2, 0, 0, 0, 0, 8, 0, 0, 8, 3, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0], [0, 6, 8, 0, 0, 0, 6, 0, 0, 0, 6, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 6, 0], [0, 0, 0, 0, 2, 2, 2, 3, 0, 2, 0, 8, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 3, 6, 3, 3, 6, 0, 0, 6, 0, 8, 0], [0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 2, 0, 0, 0, 0, 6, 0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 8, 0, 0, 0, 0, 0, 3, 0, 0, 0, 8], [0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 2, 8, 8, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 6, 0, 0, 0], [2, 3, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 6, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 3, 8, 0, 0, 0, 3], [0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 2, 0, 2, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 0, 2, 8, 0, 6, 8, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 3], [0, 2, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 2, 0, 0, 0, 8, 0, 6, 0, 0, 0, 0]] -> [[0, 3, 0, 0], [0, 3, 0, 0], [6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8]]\nCounterfactual: Now imagine that we intervened on the previous input by rotating or flipping it.\n[[0, 0, 6, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 6, 2, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 3, 2, 0, 6, 0, 0, 0, 0, 0, 0, 2, 0, 3, 0, 0], [8, 0, 8, 0, 3, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 3, 0], [0, 0, 0, 3, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 6, 2, 0, 0, 0, 0, 0, 0, 2, 0], [8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 3, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 2, 6], [0, 0, 0, 0, 0, 0, 2, 0, 0, 8, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6], [2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 6, 0, 2, 0, 0, 0, 0], [0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 3, 8, 0, 0, 8, 0, 0, 0, 0, 2, 6, 6, 0], [0, 6, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 6, 0, 0, 0, 6, 0, 0, 0, 8, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 8, 0, 2, 0, 3, 2, 2, 2, 0, 0, 0, 0], [0, 8, 0, 6, 0, 0, 6, 3, 3, 6, 3, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 6, 0, 0, 0, 0, 2, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0], [8, 0, 0, 0, 3, 0, 0, 0, 0, 0, 8, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0], [0, 0, 0, 8, 8, 2, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6], [0, 0, 0, 6, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 6, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 3, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0], [3, 0, 0, 0, 8, 3, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 6, 0], [0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 2, 0, 2, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 8, 6, 0, 8, 2, 0, 0, 0, 0, 0, 0, 6, 0], [0, 0, 0, 0, 6, 0, 8, 0, 0, 0, 2, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 2, 0]] -> [[0, 3, 0, 0], [0, 3, 0, 0], [6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8]]\nExample input-output arrays:\n[[0, 8, 0, 0, 0, 0, 0, 0, 2, 3, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 3, 0], [0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 8, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 3], [0, 0, 3, 0, 0, 8, 8, 0, 0, 0, 0, 0, 3, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 8], [0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 3, 0, 0, 8, 0, 0, 0, 0, 2, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 3, 0, 3, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 8], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0], [8, 2, 0, 3, 0, 0, 6, 0, 0, 0, 8, 8, 0, 8, 0, 6, 2, 0, 0, 8, 0, 0, 0, 0, 0], [0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 8, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 8, 8, 0], [0, 0, 0, 0, 0, 6, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 8], [2, 6, 6, 3, 0, 6, 3, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 2, 0], [0, 0, 0, 2, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 8, 0, 2, 8, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 8, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0], [0, 0, 2, 6, 0, 0, 0, 0, 6, 2, 2, 0, 6, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 8, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 8, 0, 3, 0, 0, 0, 0, 0, 6, 0], [8, 0, 0, 2, 8, 0, 0, 6, 2, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 6, 0, 0, 8, 0, 0, 0, 0, 6, 0, 0, 0, 0, 8, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 3, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 3, 0, 0, 3, 0, 0]] -> [[0, 0, 0, 8], [0, 0, 0, 8], [0, 0, 0, 8], [0, 0, 0, 8], [0, 0, 0, 8], [0, 0, 0, 8], [0, 0, 2, 8], [0, 0, 2, 8], [0, 0, 2, 8], [0, 0, 2, 8], [0, 0, 2, 8], [0, 3, 2, 8], [0, 3, 2, 8], [0, 3, 2, 8], [0, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[9, 8, 9, 9, 9, 9, 9, 9, 2, 3, 9, 9, 9, 9, 9, 2, 9, 9, 9, 9, 9, 9, 2, 3, 9], [9, 6, 9, 9, 9, 9, 9, 9, 9, 9, 2, 9, 9, 8, 9, 9, 9, 9, 9, 8, 9, 9, 9, 9, 3], [9, 9, 3, 9, 9, 8, 8, 9, 9, 9, 9, 9, 3, 9, 9, 8, 9, 9, 9, 9, 9, 9, 9, 9, 8], [9, 9, 9, 9, 9, 9, 9, 9, 8, 9, 9, 9, 9, 9, 9, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 3, 9, 9, 8, 9, 9, 9, 9, 2, 9, 9, 3, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 3, 9, 3, 9, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 9, 9, 9, 2, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 3, 9, 9, 9, 3, 9, 9, 9, 9, 8], [9, 9, 9, 9, 9, 9, 9, 9, 2, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 9, 9, 9, 9, 9], [8, 2, 9, 3, 9, 9, 6, 9, 9, 9, 8, 8, 9, 8, 9, 6, 2, 9, 9, 8, 9, 9, 9, 9, 9], [9, 8, 9, 9, 9, 9, 9, 9, 9, 9, 2, 9, 9, 9, 9, 9, 9, 9, 9, 2, 8, 9, 9, 9, 9], [9, 9, 9, 2, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 9, 9, 9, 9, 9, 9, 8, 8, 9], [9, 9, 9, 9, 9, 6, 9, 9, 3, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 8, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 2, 9, 9, 9, 2, 9, 9, 9, 9, 9, 8], [2, 6, 6, 3, 9, 6, 3, 9, 9, 3, 9, 9, 9, 9, 9, 9, 9, 9, 2, 3, 9, 9, 9, 9, 9], [6, 9, 9, 9, 9, 3, 9, 9, 9, 9, 9, 9, 3, 9, 9, 9, 9, 9, 9, 9, 9, 6, 9, 2, 9], [9, 9, 9, 2, 9, 9, 9, 9, 3, 9, 9, 9, 9, 9, 9, 9, 8, 9, 2, 8, 9, 9, 9, 9, 9], [2, 9, 9, 9, 9, 9, 9, 8, 9, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 3, 9, 9, 9, 9], [9, 9, 2, 6, 9, 9, 9, 9, 6, 2, 2, 9, 6, 9, 9, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 2, 8, 9, 9, 9, 9, 9, 9, 8, 9, 9, 9, 9, 8, 9, 3, 9, 9, 9, 9, 9, 6, 9], [8, 9, 9, 2, 8, 9, 9, 6, 2, 9, 9, 9, 9, 9, 9, 9, 6, 9, 9, 2, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 6, 9, 9, 8, 9, 9, 9, 9, 6, 9, 9, 9, 9, 8, 9, 6, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 3, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 9], [6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 9, 8, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 3, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 9, 9, 9, 9], [9, 9, 9, 9, 9, 3, 9, 9, 2, 9, 9, 9, 9, 9, 9, 9, 9, 6, 9, 3, 9, 9, 3, 9, 9]] -> [[9, 9, 9, 8], [9, 9, 9, 8], [9, 9, 9, 8], [9, 9, 9, 8], [9, 9, 9, 8], [9, 9, 9, 8], [9, 9, 2, 8], [9, 9, 2, 8], [9, 9, 2, 8], [9, 9, 2, 8], [9, 9, 2, 8], [9, 3, 2, 8], [9, 3, 2, 8], [9, 3, 2, 8], [9, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8]]\nCounterfactual: Now imagine that we intervened on the previous input by rotating or flipping it.\n[[0, 3, 8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 2, 0, 0, 0, 6, 0, 0, 2, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 8, 0, 0, 0, 0, 3, 0, 0, 0, 6, 0, 0, 2, 0], [0, 8, 0, 0, 0, 0, 3, 8, 8, 2, 0, 8, 0, 3, 0, 8, 0, 0, 0, 2, 0, 0, 0, 0, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 8, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 6], [0, 0, 0, 0, 3, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 6, 0, 0, 8, 0, 0], [2, 0, 8, 8, 0, 0, 3, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 6, 8, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0], [0, 8, 0, 0, 2, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0], [0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 0, 0, 0, 0, 0, 0, 8, 2, 0, 0, 0, 0, 0, 0, 0, 2, 8, 0, 0, 0, 0, 3, 0], [3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 8, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 8, 8, 0, 0, 2, 0, 0, 0, 3, 0, 0, 0, 3, 0, 6, 0, 2, 8, 0, 0, 0, 2], [0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 6, 0, 0, 0, 0, 0], [0, 0, 8, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0], [0, 0, 8, 0, 3, 3, 0, 0, 0, 0, 0, 6, 0, 6, 3, 0, 0, 0, 0, 0, 6, 0, 0, 0, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 3, 0, 0, 3, 0, 2, 0, 0, 3, 0, 2, 0, 6, 8, 2, 0, 0, 0, 0, 0], [0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0], [8, 6, 0, 0, 0, 0, 0, 0, 2, 8, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 2, 6, 0, 2, 0, 0, 8, 0, 0, 6, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            0,
+                            3,
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+                        ],
+                        [
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+                        ],
+                        [
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+                        ],
+                        [
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+                        ],
+                        [
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+                        ],
+                        [
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+                        ],
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+                }
+            },
+            "Replicate 3": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 8, 0, 0, 0, 0, 0, 0, 2, 3, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 3, 0], [0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 8, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 3], [0, 0, 3, 0, 0, 8, 8, 0, 0, 0, 0, 0, 3, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 8], [0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 3, 0, 0, 8, 0, 0, 0, 0, 2, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 3, 0, 3, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 8], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0], [8, 2, 0, 3, 0, 0, 6, 0, 0, 0, 8, 8, 0, 8, 0, 6, 2, 0, 0, 8, 0, 0, 0, 0, 0], [0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 8, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 8, 8, 0], [0, 0, 0, 0, 0, 6, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 8], [2, 6, 6, 3, 0, 6, 3, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 2, 0], [0, 0, 0, 2, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 8, 0, 2, 8, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 8, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0], [0, 0, 2, 6, 0, 0, 0, 0, 6, 2, 2, 0, 6, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 8, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 8, 0, 3, 0, 0, 0, 0, 0, 6, 0], [8, 0, 0, 2, 8, 0, 0, 6, 2, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 6, 0, 0, 8, 0, 0, 0, 0, 6, 0, 0, 0, 0, 8, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 3, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 3, 0, 0, 3, 0, 0]] -> [[0, 0, 0, 8], [0, 0, 0, 8], [0, 0, 0, 8], [0, 0, 0, 8], [0, 0, 0, 8], [0, 0, 0, 8], [0, 0, 2, 8], [0, 0, 2, 8], [0, 0, 2, 8], [0, 0, 2, 8], [0, 0, 2, 8], [0, 3, 2, 8], [0, 3, 2, 8], [0, 3, 2, 8], [0, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[1, 8, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 3, 1], [1, 6, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 8, 1, 1, 1, 1, 1, 8, 1, 1, 1, 1, 3], [1, 1, 3, 1, 1, 8, 8, 1, 1, 1, 1, 1, 3, 1, 1, 8, 1, 1, 1, 1, 1, 1, 1, 1, 8], [1, 1, 1, 1, 1, 1, 1, 1, 8, 1, 1, 1, 1, 1, 1, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 3, 1, 1, 8, 1, 1, 1, 1, 2, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 3, 1, 3, 1, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 3, 1, 1, 1, 1, 8], [1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 8, 1, 1, 1, 1, 1], [8, 2, 1, 3, 1, 1, 6, 1, 1, 1, 8, 8, 1, 8, 1, 6, 2, 1, 1, 8, 1, 1, 1, 1, 1], [1, 8, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 8, 1, 1, 1, 1], [1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 6, 1, 1, 1, 1, 1, 1, 8, 8, 1], [1, 1, 1, 1, 1, 6, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 8, 8, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 8, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 8], [2, 6, 6, 3, 1, 6, 3, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1], [6, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 6, 1, 2, 1], [1, 1, 1, 2, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 8, 1, 2, 8, 1, 1, 1, 1, 1], [2, 1, 1, 1, 1, 1, 1, 8, 1, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1], [1, 1, 2, 6, 1, 1, 1, 1, 6, 2, 2, 1, 6, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 2, 8, 1, 1, 1, 1, 1, 1, 8, 1, 1, 1, 1, 8, 1, 3, 1, 1, 1, 1, 1, 6, 1], [8, 1, 1, 2, 8, 1, 1, 6, 2, 1, 1, 1, 1, 1, 1, 1, 6, 1, 1, 2, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 6, 1, 1, 8, 1, 1, 1, 1, 6, 1, 1, 1, 1, 8, 1, 6, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1], [6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 8, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1], [1, 1, 1, 1, 1, 3, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 6, 1, 3, 1, 1, 3, 1, 1]] -> [[1, 1, 1, 8], [1, 1, 1, 8], [1, 1, 1, 8], [1, 1, 1, 8], [1, 1, 1, 8], [1, 1, 1, 8], [1, 1, 2, 8], [1, 1, 2, 8], [1, 1, 2, 8], [1, 1, 2, 8], [1, 1, 2, 8], [1, 3, 2, 8], [1, 3, 2, 8], [1, 3, 2, 8], [1, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8]]\nExample input-output arrays:\n[[0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 8, 6, 0, 0, 0, 0, 2, 3, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0], [0, 2, 3, 0, 0, 0, 0, 0, 3, 0, 0, 2, 0, 0, 0, 0, 0, 6, 8, 3, 0, 0, 8, 8, 0], [0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 3, 0, 0, 0, 0, 3, 6, 0], [0, 0, 0, 0, 0, 8, 3, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 8, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 3, 0, 2, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 3, 0, 6, 2, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 3, 0, 6, 0, 0, 0, 2], [2, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 8, 0, 0, 0, 0, 2, 0, 0, 0], [0, 0, 0, 2, 0, 8, 2, 0, 2, 0, 0, 8, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0], [0, 0, 6, 0, 0, 0, 0, 3, 0, 0, 0, 0, 6, 2, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 3], [3, 0, 6, 0, 0, 8, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 8, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 2, 0, 8, 0, 2, 6, 0, 0, 0, 0], [6, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 2, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 8, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 3, 0, 0], [3, 0, 0, 2, 2, 0, 0, 0, 0, 3, 0, 0, 2, 0, 8, 0, 0, 0, 0, 0, 8, 6, 0, 8, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 3, 0, 8, 0, 0, 8, 0, 0, 0], [3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 2, 0, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 3, 0, 0, 0, 0, 0, 6, 8, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 8, 0, 0, 6, 0, 0]] -> [[6, 0, 0, 0], [6, 0, 0, 0], [6, 0, 0, 0], [6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 2, 0], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 2, 3, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 3, 0, 0, 0, 0, 0, 3, 0, 0, 2, 0, 0, 0, 0, 0, 0, 8, 3, 0, 0, 8, 8, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 3, 0, 0, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 8, 3, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 8, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 3, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 3, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 2], [2, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 2, 0, 0, 0], [0, 0, 0, 2, 0, 8, 2, 0, 2, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3], [3, 0, 0, 0, 0, 8, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 8, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 8, 0, 2, 0, 0, 0, 0, 0], [0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 3, 0, 0], [3, 0, 0, 2, 2, 0, 0, 0, 0, 3, 0, 0, 2, 0, 8, 0, 0, 0, 0, 0, 8, 0, 0, 8, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 3, 0, 8, 0, 0, 8, 0, 0, 0], [3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 8, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 8, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 3, 0, 0], [0, 3, 0, 0], [0, 3, 0, 0], [0, 3, 0, 0], [0, 3, 2, 0], [0, 3, 2, 8], [0, 3, 2, 8], [0, 3, 2, 8], [0, 3, 2, 8], [0, 3, 2, 8], [0, 3, 2, 8], [0, 3, 2, 8], [0, 3, 2, 8], [0, 3, 2, 8], [0, 3, 2, 8], [0, 3, 2, 8], [0, 3, 2, 8], [0, 3, 2, 8], [0, 3, 2, 8], [0, 3, 2, 8], [0, 3, 2, 8], [0, 3, 2, 8], [0, 3, 2, 8], [0, 3, 2, 8], [0, 3, 2, 8], [0, 3, 2, 8], [0, 3, 2, 8], [0, 3, 2, 8], [0, 3, 2, 8], [0, 3, 2, 8]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 2, 3, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0], [0, 2, 3, 0, 0, 0, 0, 0, 3, 0, 0, 2, 0, 0, 0, 0, 0, 6, 0, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 3, 0, 0, 0, 0, 3, 6, 0], [0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 3, 0, 2, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 3, 0, 6, 2, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 3, 0, 6, 0, 0, 0, 2], [2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0], [0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0], [0, 0, 6, 0, 0, 0, 0, 3, 0, 0, 0, 0, 6, 2, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 3], [3, 0, 6, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 2, 0, 0, 0, 2, 6, 0, 0, 0, 0], [6, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 2, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 3, 0, 0], [3, 0, 0, 2, 2, 0, 0, 0, 0, 3, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 2, 0, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 3, 0, 0, 0, 0, 0, 6, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 6, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+            },
+            "Replicate 4": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 2, 0, 0, 6, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 3, 0, 0, 3, 3, 3, 0, 0, 8, 0, 0, 0, 0, 0], [0, 0, 6, 0, 0, 0, 3, 0, 3, 6, 8, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 3, 2, 0, 0, 0, 0, 0, 0, 0], [3, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 3, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 8, 3, 0], [0, 6, 0, 8, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 6, 8, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 3, 0], [0, 0, 0, 3, 2, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 8, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 3, 2, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0], [0, 8, 6, 0, 0, 0, 0, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0], [0, 6, 2, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 8, 0, 0, 0, 0, 0, 8, 0, 0, 8, 0, 0], [0, 0, 0, 0, 6, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0], [0, 0, 0, 0, 2, 0, 8, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 2, 0, 0, 0, 6], [0, 0, 0, 6, 6, 0, 6, 0, 3, 3, 0, 0, 8, 0, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 6, 0, 3, 0, 3, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 3, 0, 0, 3, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 3, 0, 0, 0, 0, 3, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 8, 0, 0, 6, 8, 2, 0, 0, 0, 0, 0, 0, 0, 0, 3], [0, 8, 0, 3, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 2, 6, 0, 0, 2, 0, 6], [3, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 8], [0, 0, 0, 6, 0, 0, 0, 3, 3, 0, 0, 6, 6, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 3, 0, 8, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 2, 0], [6, 3, 2, 0], [6, 3, 2, 0], [6, 3, 2, 0], [6, 3, 2, 0], [6, 3, 2, 0], [6, 3, 2, 0], [6, 3, 2, 0], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[9, 9, 2, 9, 9, 6, 9, 9, 2, 9, 2, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [6, 9, 9, 9, 9, 9, 9, 9, 9, 2, 9, 3, 9, 9, 3, 3, 3, 9, 9, 8, 9, 9, 9, 9, 9], [9, 9, 6, 9, 9, 9, 3, 9, 3, 6, 8, 9, 9, 2, 2, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6], [9, 9, 9, 9, 2, 9, 9, 9, 9, 9, 2, 9, 9, 9, 9, 9, 3, 2, 9, 9, 9, 9, 9, 9, 9], [3, 9, 9, 2, 9, 9, 9, 9, 2, 9, 9, 3, 9, 9, 9, 9, 6, 9, 9, 9, 9, 9, 8, 3, 9], [9, 6, 9, 8, 9, 9, 9, 9, 9, 9, 3, 9, 9, 9, 9, 9, 9, 6, 8, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 3, 9, 9, 9, 9, 6, 6, 6, 9, 9, 9, 6, 9, 9, 3, 9], [9, 9, 9, 3, 2, 9, 9, 9, 9, 9, 9, 8, 9, 9, 9, 9, 9, 9, 3, 3, 9, 9, 9, 8, 2], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 3, 3, 2, 9, 9, 9, 6, 9, 9, 9, 9, 9, 9, 9], [9, 8, 6, 9, 9, 9, 9, 3, 2, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 9, 9, 9, 9, 9, 9], [9, 6, 2, 9, 9, 9, 9, 9, 9, 3, 9, 9, 9, 8, 9, 9, 9, 9, 9, 8, 9, 9, 8, 9, 9], [9, 9, 9, 9, 6, 9, 9, 9, 9, 2, 9, 2, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 9, 9], [9, 9, 9, 9, 2, 9, 8, 9, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 6, 6, 9, 9, 9, 9, 9, 3, 9, 9, 9, 9, 9, 2, 9, 9, 9, 6], [9, 9, 9, 6, 6, 9, 6, 9, 3, 3, 9, 9, 8, 9, 6, 9, 9, 9, 9, 9, 6, 9, 9, 9, 9], [9, 9, 9, 3, 9, 9, 9, 9, 9, 9, 6, 9, 3, 9, 3, 9, 9, 9, 9, 2, 2, 9, 9, 9, 9], [9, 9, 9, 9, 9, 3, 9, 9, 3, 9, 9, 9, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 9], [9, 9, 3, 9, 9, 9, 9, 3, 9, 3, 3, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 8, 9, 8, 9, 9, 6, 8, 2, 9, 9, 9, 9, 9, 9, 9, 9, 3], [9, 8, 9, 3, 9, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 9, 9, 2, 6, 9, 9, 2, 9, 6], [3, 9, 9, 9, 9, 9, 2, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 3, 9, 9, 9, 6, 9, 9, 9, 9, 9, 9, 8], [9, 9, 9, 6, 9, 9, 9, 3, 3, 9, 9, 6, 6, 9, 9, 9, 9, 9, 2, 9, 9, 9, 9, 9, 9], [8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 9, 3, 9, 8, 9, 9, 9, 9, 9], [2, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 9, 9, 9, 9, 8, 9, 9, 9, 9, 9, 9, 9, 9]] -> [[6, 3, 9, 9], [6, 3, 9, 9], [6, 3, 9, 9], [6, 3, 9, 9], [6, 3, 9, 9], [6, 3, 9, 9], [6, 3, 9, 9], [6, 3, 9, 9], [6, 3, 2, 9], [6, 3, 2, 9], [6, 3, 2, 9], [6, 3, 2, 9], [6, 3, 2, 9], [6, 3, 2, 9], [6, 3, 2, 9], [6, 3, 2, 9], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8]]\nExample input-output arrays:\n[[0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 8, 6, 0, 0, 0, 0, 2, 3, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0], [0, 2, 3, 0, 0, 0, 0, 0, 3, 0, 0, 2, 0, 0, 0, 0, 0, 6, 8, 3, 0, 0, 8, 8, 0], [0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 3, 0, 0, 0, 0, 3, 6, 0], [0, 0, 0, 0, 0, 8, 3, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 8, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 3, 0, 2, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 3, 0, 6, 2, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 3, 0, 6, 0, 0, 0, 2], [2, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 8, 0, 0, 0, 0, 2, 0, 0, 0], [0, 0, 0, 2, 0, 8, 2, 0, 2, 0, 0, 8, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0], [0, 0, 6, 0, 0, 0, 0, 3, 0, 0, 0, 0, 6, 2, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 3], [3, 0, 6, 0, 0, 8, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 8, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 2, 0, 8, 0, 2, 6, 0, 0, 0, 0], [6, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 2, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 8, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 3, 0, 0], [3, 0, 0, 2, 2, 0, 0, 0, 0, 3, 0, 0, 2, 0, 8, 0, 0, 0, 0, 0, 8, 6, 0, 8, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 3, 0, 8, 0, 0, 8, 0, 0, 0], [3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 2, 0, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 3, 0, 0, 0, 0, 0, 6, 8, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 8, 0, 0, 6, 0, 0]] -> [[6, 0, 0, 0], [6, 0, 0, 0], [6, 0, 0, 0], [6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 0, 0], [6, 3, 2, 0], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[1, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 8, 6, 1, 1, 1, 1, 2, 3, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 6, 1, 1, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1], [1, 2, 3, 1, 1, 1, 1, 1, 3, 1, 1, 2, 1, 1, 1, 1, 1, 6, 8, 3, 1, 1, 8, 8, 1], [1, 1, 1, 1, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 3, 1, 1, 1, 1, 3, 6, 1], [1, 1, 1, 1, 1, 8, 3, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 8, 3, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 3, 3, 1, 2, 6, 1, 1, 1, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 1], [1, 6, 1, 1, 1, 1, 1, 1, 8, 1, 1, 1, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1], [1, 1, 1, 1, 3, 1, 6, 2, 1, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 6, 1, 3, 1, 6, 1, 1, 1, 2], [2, 1, 1, 1, 8, 1, 1, 1, 1, 1, 1, 1, 6, 1, 1, 1, 8, 1, 1, 1, 1, 2, 1, 1, 1], [1, 1, 1, 2, 1, 8, 2, 1, 2, 1, 1, 8, 1, 1, 1, 1, 1, 1, 6, 1, 6, 1, 1, 1, 1], [1, 1, 6, 1, 1, 1, 1, 3, 1, 1, 1, 1, 6, 2, 1, 1, 1, 1, 6, 1, 1, 1, 1, 1, 3], [3, 1, 6, 1, 1, 8, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 8, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 6, 1, 1, 1, 1, 2, 1, 8, 1, 2, 6, 1, 1, 1, 1], [6, 3, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 2, 1, 1, 1, 1, 6, 1, 1, 1, 1, 1, 3, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 6, 1, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 8, 1, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 3, 1, 1], [3, 1, 1, 2, 2, 1, 1, 1, 1, 3, 1, 1, 2, 1, 8, 1, 1, 1, 1, 1, 8, 6, 1, 8, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 8, 1, 1, 1, 1, 1], [3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 8, 1, 1, 8, 1, 1, 1], [3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 6, 1, 1, 2, 1, 1, 1, 6, 1, 1, 1, 1], [1, 1, 1, 3, 1, 1, 1, 1, 1, 6, 8, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 8, 1, 1, 6, 1, 1]] -> [[6, 1, 1, 1], [6, 1, 1, 1], [6, 1, 1, 1], [6, 3, 1, 1], [6, 3, 1, 1], [6, 3, 1, 1], [6, 3, 1, 1], [6, 3, 2, 1], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8], [6, 3, 2, 8]]\nCounterfactual: Now imagine that we intervened on the previous input by rotating or flipping it.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 8, 0, 0, 6, 0, 0], [0, 0, 0, 3, 0, 0, 0, 0, 0, 6, 8, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 2, 0, 0, 0, 6, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 3, 0, 8, 0, 0, 8, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0], [3, 0, 0, 2, 2, 0, 0, 0, 0, 3, 0, 0, 2, 0, 8, 0, 0, 0, 0, 0, 8, 6, 0, 8, 0], [0, 0, 0, 0, 0, 8, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 2, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 3, 0, 0, 0], [6, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 2, 0, 8, 0, 2, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 8, 0, 0], [3, 0, 6, 0, 0, 8, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0], [0, 0, 6, 0, 0, 0, 0, 3, 0, 0, 0, 0, 6, 2, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 3], [0, 0, 0, 2, 0, 8, 2, 0, 2, 0, 0, 8, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0], [2, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 8, 0, 0, 0, 0, 2, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 3, 0, 6, 0, 0, 0, 2], [0, 0, 0, 0, 3, 0, 6, 2, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 3, 3, 0, 2, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 8, 3, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 8, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 3, 0, 0, 0, 0, 3, 6, 0], [0, 2, 3, 0, 0, 0, 0, 0, 3, 0, 0, 2, 0, 0, 0, 0, 0, 6, 8, 3, 0, 0, 8, 8, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 8, 6, 0, 0, 0, 0, 2, 3, 0, 0, 0, 0, 0, 0]] -> ",
+                "test": {
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+                        [
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+                        [
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+                    ],
+                    "output": [
+                        [
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+                            0,
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+                        ],
+                        [
+                            6,
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
+                            6,
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+                        [
+                            6,
+                            3,
+                            2,
+                            8
+                        ],
+                        [
+                            6,
+                            3,
+                            2,
+                            8
+                        ],
+                        [
+                            6,
+                            3,
+                            2,
+                            8
+                        ],
+                        [
+                            6,
+                            3,
+                            2,
+                            8
+                        ],
+                        [
+                            6,
+                            3,
+                            2,
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+                        ],
+                        [
+                            6,
+                            3,
+                            2,
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+                        ],
+                        [
+                            6,
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+                            2,
+                            8
+                        ],
+                        [
+                            6,
+                            3,
+                            2,
+                            8
+                        ]
+                    ]
+                }
+            }
+        }
+    }
+}
\ No newline at end of file
diff --git a/prompts/counterfactual_reasoning/logical/cf_reasoning_logical_prompts.json b/prompts/counterfactual_reasoning/logical/cf_reasoning_logical_prompts.json
new file mode 100644
index 0000000000000000000000000000000000000000..b45873806f3eb1837762ec23361aedb164f49129
--- /dev/null
+++ b/prompts/counterfactual_reasoning/logical/cf_reasoning_logical_prompts.json
@@ -0,0 +1,238944 @@
+{
+    "SCMdky5!and!10x10": {
+        "L1": {
+            "Replicate 0": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 4, 4, 0, 4, 0, 0, 4, 0, 4], [4, 4, 0, 0, 4, 0, 4, 4, 0, 4], [0, 4, 4, 0, 0, 4, 4, 4, 0, 4], [4, 4, 4, 4, 0, 0, 4, 0, 4, 0], [4, 0, 0, 0, 0, 0, 0, 4, 4, 0], [4, 4, 4, 0, 0, 4, 0, 0, 0, 4], [4, 4, 4, 0, 4, 4, 0, 4, 4, 4], [0, 0, 4, 0, 0, 4, 4, 4, 0, 4], [4, 4, 4, 0, 4, 0, 4, 4, 4, 0], [0, 0, 4, 4, 0, 4, 0, 0, 4, 4], [0, 0, 5, 0, 5, 0, 5, 0, 0, 5], [0, 5, 5, 5, 5, 5, 0, 5, 0, 5], [5, 5, 0, 0, 0, 5, 5, 0, 0, 5], [0, 0, 0, 0, 5, 5, 0, 0, 0, 0], [0, 0, 0, 5, 5, 0, 0, 5, 5, 0], [5, 0, 0, 5, 5, 5, 0, 0, 5, 5], [5, 0, 0, 0, 5, 5, 0, 0, 5, 0], [0, 5, 5, 5, 5, 0, 5, 0, 5, 0], [5, 0, 0, 0, 5, 0, 5, 5, 5, 0], [5, 0, 0, 5, 0, 5, 5, 0, 5, 0]] -> [[0, 0, 2, 0, 2, 0, 0, 0, 0, 2], [0, 2, 0, 0, 2, 0, 0, 2, 0, 2], [0, 2, 0, 0, 0, 2, 2, 0, 0, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 2, 0], [2, 0, 0, 0, 0, 2, 0, 0, 0, 2], [2, 0, 0, 0, 2, 2, 0, 0, 2, 0], [0, 0, 2, 0, 0, 0, 2, 0, 0, 0], [2, 0, 0, 0, 2, 0, 2, 2, 2, 0], [0, 0, 0, 2, 0, 2, 0, 0, 2, 0]]\nExample input-output arrays:\n[[4, 0, 0, 4, 0, 0, 0, 4, 4, 4], [0, 4, 0, 4, 0, 0, 4, 0, 0, 0], [0, 4, 4, 0, 4, 0, 4, 4, 0, 0], [0, 4, 0, 0, 4, 0, 0, 0, 0, 0], [0, 0, 4, 0, 0, 0, 0, 0, 0, 4], [4, 0, 0, 0, 4, 4, 0, 0, 0, 0], [0, 0, 0, 0, 4, 4, 4, 0, 4, 4], [4, 0, 0, 0, 4, 0, 4, 0, 0, 4], [4, 4, 4, 0, 4, 4, 0, 4, 0, 0], [4, 0, 0, 4, 0, 4, 0, 0, 0, 0], [5, 5, 5, 0, 5, 0, 5, 0, 5, 5], [0, 5, 5, 0, 5, 5, 0, 5, 0, 5], [5, 0, 5, 5, 5, 0, 0, 0, 0, 0], [5, 0, 0, 5, 5, 0, 5, 0, 5, 5], [5, 5, 5, 5, 5, 5, 0, 5, 5, 5], [5, 5, 0, 0, 5, 0, 0, 0, 5, 5], [0, 0, 5, 5, 0, 5, 5, 5, 5, 5], [5, 0, 0, 0, 0, 5, 0, 0, 5, 5], [0, 5, 5, 5, 5, 0, 5, 5, 0, 0], [0, 0, 0, 0, 0, 0, 5, 5, 0, 5]] -> [[2, 0, 0, 0, 0, 0, 0, 0, 2, 2], [0, 2, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0, 0, 0, 0, 2], [2, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 2, 0, 2, 2], [2, 0, 0, 0, 0, 0, 0, 0, 0, 2], [0, 2, 2, 0, 2, 0, 0, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 4, 4, 4, 4, 0, 0, 0, 4], [4, 0, 4, 0, 4, 4, 0, 4, 4, 4], [0, 0, 4, 4, 4, 4, 0, 0, 0, 0], [0, 0, 0, 0, 4, 4, 4, 0, 0, 4], [0, 0, 4, 4, 4, 4, 4, 4, 0, 0], [4, 4, 4, 0, 0, 0, 0, 4, 0, 4], [0, 4, 4, 4, 4, 4, 0, 0, 4, 4], [4, 4, 0, 4, 4, 4, 0, 4, 0, 4], [4, 4, 0, 4, 4, 0, 0, 0, 0, 0], [4, 0, 0, 4, 4, 4, 4, 0, 0, 4], [0, 0, 0, 0, 5, 5, 5, 5, 0, 5], [0, 0, 5, 5, 5, 0, 0, 5, 0, 0], [5, 0, 0, 5, 5, 5, 0, 0, 0, 0], [5, 0, 5, 0, 5, 0, 0, 5, 5, 0], [0, 5, 0, 0, 0, 5, 5, 0, 0, 0], [0, 5, 5, 0, 5, 0, 0, 0, 0, 0], [5, 0, 5, 5, 0, 5, 5, 5, 0, 0], [0, 5, 5, 0, 5, 5, 0, 0, 5, 5], [0, 0, 0, 5, 0, 5, 0, 0, 0, 5], [5, 5, 0, 5, 5, 0, 5, 0, 0, 5]] -> [[0, 0, 0, 0, 2, 2, 0, 0, 0, 2], [0, 0, 2, 0, 2, 0, 0, 2, 0, 0], [0, 0, 0, 2, 2, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 2, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 2, 0, 2, 0, 0, 0, 0], [0, 2, 0, 0, 2, 2, 0, 0, 0, 2], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [2, 0, 0, 2, 2, 0, 2, 0, 0, 2]]\nCounterfactual: Now imagine that we intervened on the previous input by changing the causal function for some elements.\n[[4, 4, 0, 0, 0, 0, 4, 4, 4, 0], [0, 4, 0, 4, 0, 0, 4, 0, 0, 0], [4, 4, 0, 0, 0, 0, 4, 4, 4, 4], [4, 4, 4, 4, 0, 0, 0, 4, 4, 0], [4, 4, 0, 0, 0, 0, 0, 0, 4, 4], [0, 0, 0, 4, 4, 4, 4, 0, 4, 0], [4, 0, 0, 0, 0, 0, 4, 4, 0, 0], [0, 0, 4, 0, 0, 0, 4, 0, 4, 0], [0, 0, 4, 0, 0, 4, 4, 4, 4, 4], [0, 4, 4, 0, 0, 0, 0, 4, 4, 0], [0, 0, 0, 0, 5, 5, 5, 5, 0, 5], [0, 0, 5, 5, 5, 0, 0, 5, 0, 0], [5, 0, 0, 5, 5, 5, 0, 0, 0, 0], [5, 0, 5, 0, 5, 0, 0, 5, 5, 0], [0, 5, 0, 0, 0, 5, 5, 0, 0, 0], [0, 5, 5, 0, 5, 0, 0, 0, 0, 0], [5, 0, 5, 5, 0, 5, 5, 5, 0, 0], [0, 5, 5, 0, 5, 5, 0, 0, 5, 5], [0, 0, 0, 5, 0, 5, 0, 0, 0, 5], [5, 5, 0, 5, 5, 0, 5, 0, 0, 5]] -> ",
+                "test": {
+                    "input": [
+                        [
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+                        [
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+                            5,
+                            5,
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+                        ]
+                    ],
+                    "output": [
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+                            0,
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+                        [
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+                        [
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+                        [
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+                            0,
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+                        ],
+                        [
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+                            2,
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+                        ],
+                        [
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+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ]
+                    ]
+                }
+            },
+            "Replicate 1": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[4, 0, 0, 4, 0, 0, 0, 4, 4, 4], [0, 4, 0, 4, 0, 0, 4, 0, 0, 0], [0, 4, 4, 0, 4, 0, 4, 4, 0, 0], [0, 4, 0, 0, 4, 0, 0, 0, 0, 0], [0, 0, 4, 0, 0, 0, 0, 0, 0, 4], [4, 0, 0, 0, 4, 4, 0, 0, 0, 0], [0, 0, 0, 0, 4, 4, 4, 0, 4, 4], [4, 0, 0, 0, 4, 0, 4, 0, 0, 4], [4, 4, 4, 0, 4, 4, 0, 4, 0, 0], [4, 0, 0, 4, 0, 4, 0, 0, 0, 0], [5, 5, 5, 0, 5, 0, 5, 0, 5, 5], [0, 5, 5, 0, 5, 5, 0, 5, 0, 5], [5, 0, 5, 5, 5, 0, 0, 0, 0, 0], [5, 0, 0, 5, 5, 0, 5, 0, 5, 5], [5, 5, 5, 5, 5, 5, 0, 5, 5, 5], [5, 5, 0, 0, 5, 0, 0, 0, 5, 5], [0, 0, 5, 5, 0, 5, 5, 5, 5, 5], [5, 0, 0, 0, 0, 5, 0, 0, 5, 5], [0, 5, 5, 5, 5, 0, 5, 5, 0, 0], [0, 0, 0, 0, 0, 0, 5, 5, 0, 5]] -> [[2, 0, 0, 0, 0, 0, 0, 0, 2, 2], [0, 2, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0, 0, 0, 0, 2], [2, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 2, 0, 2, 2], [2, 0, 0, 0, 0, 0, 0, 0, 0, 2], [0, 2, 2, 0, 2, 0, 0, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 4, 0, 4, 0, 0, 0, 0, 0], [4, 0, 4, 0, 0, 4, 4, 4, 0, 4], [4, 4, 4, 0, 4, 4, 4, 0, 4, 0], [0, 0, 0, 0, 0, 4, 0, 4, 4, 0], [4, 4, 0, 4, 4, 0, 4, 0, 4, 0], [0, 0, 4, 0, 4, 0, 0, 4, 0, 0], [4, 0, 0, 0, 0, 0, 0, 4, 4, 0], [0, 0, 0, 0, 0, 0, 4, 0, 4, 0], [0, 0, 0, 0, 0, 4, 0, 0, 0, 4], [4, 4, 4, 4, 4, 4, 4, 4, 0, 0], [5, 0, 0, 0, 5, 5, 5, 0, 5, 5], [5, 5, 5, 0, 5, 0, 0, 5, 5, 0], [0, 5, 0, 0, 0, 0, 5, 5, 0, 5], [5, 0, 5, 0, 0, 0, 0, 5, 5, 0], [0, 5, 0, 0, 5, 5, 0, 5, 5, 5], [0, 5, 0, 5, 5, 5, 5, 5, 5, 5], [5, 5, 0, 0, 5, 5, 5, 0, 0, 0], [5, 0, 0, 0, 0, 0, 5, 5, 5, 0], [0, 0, 0, 0, 5, 5, 0, 0, 5, 0], [0, 5, 0, 5, 5, 5, 5, 5, 5, 0]] -> [[0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 0, 0, 2, 0, 0], [0, 2, 0, 0, 0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 2, 0], [0, 2, 0, 0, 2, 0, 0, 0, 2, 0], [0, 0, 0, 0, 2, 0, 0, 2, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2, 0, 2, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 2, 0, 2, 2, 2, 2, 2, 0, 0]]\nExample input-output arrays:\n[[4, 0, 0, 4, 0, 0, 0, 4, 4, 4], [0, 4, 0, 4, 0, 0, 4, 0, 0, 0], [0, 4, 4, 0, 4, 0, 4, 4, 0, 0], [0, 4, 0, 0, 4, 0, 0, 0, 0, 0], [0, 0, 4, 0, 0, 0, 0, 0, 0, 4], [4, 0, 0, 0, 4, 4, 0, 0, 0, 0], [0, 0, 0, 0, 4, 4, 4, 0, 4, 4], [4, 0, 0, 0, 4, 0, 4, 0, 0, 4], [4, 4, 4, 0, 4, 4, 0, 4, 0, 0], [4, 0, 0, 4, 0, 4, 0, 0, 0, 0], [5, 5, 5, 0, 5, 0, 5, 0, 5, 5], [0, 5, 5, 0, 5, 5, 0, 5, 0, 5], [5, 0, 5, 5, 5, 0, 0, 0, 0, 0], [5, 0, 0, 5, 5, 0, 5, 0, 5, 5], [5, 5, 5, 5, 5, 5, 0, 5, 5, 5], [5, 5, 0, 0, 5, 0, 0, 0, 5, 5], [0, 0, 5, 5, 0, 5, 5, 5, 5, 5], [5, 0, 0, 0, 0, 5, 0, 0, 5, 5], [0, 5, 5, 5, 5, 0, 5, 5, 0, 0], [0, 0, 0, 0, 0, 0, 5, 5, 0, 5]] -> [[2, 0, 0, 0, 0, 0, 0, 0, 2, 2], [0, 2, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0, 0, 0, 0, 2], [2, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 2, 0, 2, 2], [2, 0, 0, 0, 0, 0, 0, 0, 0, 2], [0, 2, 2, 0, 2, 0, 0, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[9, 0, 0, 9, 0, 0, 0, 9, 9, 9], [0, 9, 0, 9, 0, 0, 9, 0, 0, 0], [0, 9, 9, 0, 9, 0, 9, 9, 0, 0], [0, 9, 0, 0, 9, 0, 0, 0, 0, 0], [0, 0, 9, 0, 0, 0, 0, 0, 0, 9], [9, 0, 0, 0, 9, 9, 0, 0, 0, 0], [0, 0, 0, 0, 9, 9, 9, 0, 9, 9], [9, 0, 0, 0, 9, 0, 9, 0, 0, 9], [9, 9, 9, 0, 9, 9, 0, 9, 0, 0], [9, 0, 0, 9, 0, 9, 0, 0, 0, 0], [5, 5, 5, 0, 5, 0, 5, 0, 5, 5], [0, 5, 5, 0, 5, 5, 0, 5, 0, 5], [5, 0, 5, 5, 5, 0, 0, 0, 0, 0], [5, 0, 0, 5, 5, 0, 5, 0, 5, 5], [5, 5, 5, 5, 5, 5, 0, 5, 5, 5], [5, 5, 0, 0, 5, 0, 0, 0, 5, 5], [0, 0, 5, 5, 0, 5, 5, 5, 5, 5], [5, 0, 0, 0, 0, 5, 0, 0, 5, 5], [0, 5, 5, 5, 5, 0, 5, 5, 0, 0], [0, 0, 0, 0, 0, 0, 5, 5, 0, 5]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            9,
+                            0,
+                            0,
+                            9,
+                            0,
+                            0,
+                            0,
+                            9,
+                            9,
+                            9
+                        ],
+                        [
+                            0,
+                            9,
+                            0,
+                            9,
+                            0,
+                            0,
+                            9,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            9,
+                            9,
+                            0,
+                            9,
+                            0,
+                            9,
+                            9,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            9,
+                            0,
+                            0,
+                            9,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            9,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            9
+                        ],
+                        [
+                            9,
+                            0,
+                            0,
+                            0,
+                            9,
+                            9,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            9,
+                            9,
+                            9,
+                            0,
+                            9,
+                            9
+                        ],
+                        [
+                            9,
+                            0,
+                            0,
+                            0,
+                            9,
+                            0,
+                            9,
+                            0,
+                            0,
+                            9
+                        ],
+                        [
+                            9,
+                            9,
+                            9,
+                            0,
+                            9,
+                            9,
+                            0,
+                            9,
+                            0,
+                            0
+                        ],
+                        [
+                            9,
+                            0,
+                            0,
+                            9,
+                            0,
+                            9,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            5,
+                            5,
+                            5,
+                            0,
+                            5,
+                            0,
+                            5,
+                            0,
+                            5,
+                            5
+                        ],
+                        [
+                            0,
+                            5,
+                            5,
+                            0,
+                            5,
+                            5,
+                            0,
+                            5,
+                            0,
+                            5
+                        ],
+                        [
+                            5,
+                            0,
+                            5,
+                            5,
+                            5,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            5,
+                            0,
+                            0,
+                            5,
+                            5,
+                            0,
+                            5,
+                            0,
+                            5,
+                            5
+                        ],
+                        [
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            0,
+                            5,
+                            5,
+                            5
+                        ],
+                        [
+                            5,
+                            5,
+                            0,
+                            0,
+                            5,
+                            0,
+                            0,
+                            0,
+                            5,
+                            5
+                        ],
+                        [
+                            0,
+                            0,
+                            5,
+                            5,
+                            0,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5
+                        ],
+                        [
+                            5,
+                            0,
+                            0,
+                            0,
+                            0,
+                            5,
+                            0,
+                            0,
+                            5,
+                            5
+                        ],
+                        [
+                            0,
+                            5,
+                            5,
+                            5,
+                            5,
+                            0,
+                            5,
+                            5,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            5,
+                            5,
+                            0,
+                            5
+                        ]
+                    ],
+                    "output": [
+                        [
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2
+                        ],
+                        [
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2
+                        ],
+                        [
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2
+                        ],
+                        [
+                            0,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ]
+                    ]
+                }
+            },
+            "Replicate 2": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 0, 4, 0, 0, 0, 0, 0, 4], [0, 4, 0, 0, 4, 0, 0, 0, 4, 0], [4, 4, 0, 4, 0, 4, 4, 4, 4, 0], [4, 0, 0, 0, 4, 4, 0, 4, 0, 4], [4, 0, 0, 0, 0, 0, 4, 0, 0, 4], [0, 4, 4, 4, 0, 0, 0, 0, 4, 0], [0, 4, 4, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 4, 0, 4, 4], [0, 4, 4, 0, 4, 0, 4, 4, 0, 4], [4, 4, 0, 0, 4, 0, 4, 4, 4, 4], [5, 0, 0, 5, 5, 0, 0, 0, 0, 5], [0, 0, 5, 0, 5, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 5, 0, 5, 0, 0], [0, 0, 0, 5, 5, 5, 0, 5, 0, 5], [0, 0, 0, 0, 0, 5, 5, 0, 0, 5], [5, 5, 5, 0, 0, 5, 5, 0, 0, 5], [0, 5, 5, 5, 0, 0, 5, 5, 0, 5], [0, 5, 5, 0, 0, 0, 0, 5, 5, 5], [5, 5, 0, 5, 5, 5, 0, 5, 0, 0], [0, 5, 5, 0, 5, 5, 0, 5, 5, 0]] -> [[0, 0, 0, 2, 0, 0, 0, 0, 0, 2], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 2, 0, 2, 0, 0], [0, 0, 0, 0, 2, 2, 0, 2, 0, 2], [0, 0, 0, 0, 0, 0, 2, 0, 0, 2], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 2], [0, 2, 0, 0, 2, 0, 0, 2, 0, 0], [0, 2, 0, 0, 2, 0, 0, 2, 2, 0]]\nExample input-output arrays:\n[[0, 0, 4, 4, 4, 4, 0, 0, 0, 4], [4, 0, 4, 0, 4, 4, 0, 4, 4, 4], [0, 0, 4, 4, 4, 4, 0, 0, 0, 0], [0, 0, 0, 0, 4, 4, 4, 0, 0, 4], [0, 0, 4, 4, 4, 4, 4, 4, 0, 0], [4, 4, 4, 0, 0, 0, 0, 4, 0, 4], [0, 4, 4, 4, 4, 4, 0, 0, 4, 4], [4, 4, 0, 4, 4, 4, 0, 4, 0, 4], [4, 4, 0, 4, 4, 0, 0, 0, 0, 0], [4, 0, 0, 4, 4, 4, 4, 0, 0, 4], [0, 0, 0, 0, 5, 5, 5, 5, 0, 5], [0, 0, 5, 5, 5, 0, 0, 5, 0, 0], [5, 0, 0, 5, 5, 5, 0, 0, 0, 0], [5, 0, 5, 0, 5, 0, 0, 5, 5, 0], [0, 5, 0, 0, 0, 5, 5, 0, 0, 0], [0, 5, 5, 0, 5, 0, 0, 0, 0, 0], [5, 0, 5, 5, 0, 5, 5, 5, 0, 0], [0, 5, 5, 0, 5, 5, 0, 0, 5, 5], [0, 0, 0, 5, 0, 5, 0, 0, 0, 5], [5, 5, 0, 5, 5, 0, 5, 0, 0, 5]] -> [[0, 0, 0, 0, 2, 2, 0, 0, 0, 2], [0, 0, 2, 0, 2, 0, 0, 2, 0, 0], [0, 0, 0, 2, 2, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 2, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 2, 0, 2, 0, 0, 0, 0], [0, 2, 0, 0, 2, 2, 0, 0, 0, 2], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [2, 0, 0, 2, 2, 0, 2, 0, 0, 2]]\nExample input-output arrays:\n[[4, 0, 0, 4, 0, 0, 0, 4, 4, 4], [0, 4, 0, 4, 0, 0, 4, 0, 0, 0], [0, 4, 4, 0, 4, 0, 4, 4, 0, 0], [0, 4, 0, 0, 4, 0, 0, 0, 0, 0], [0, 0, 4, 0, 0, 0, 0, 0, 0, 4], [4, 0, 0, 0, 4, 4, 0, 0, 0, 0], [0, 0, 0, 0, 4, 4, 4, 0, 4, 4], [4, 0, 0, 0, 4, 0, 4, 0, 0, 4], [4, 4, 4, 0, 4, 4, 0, 4, 0, 0], [4, 0, 0, 4, 0, 4, 0, 0, 0, 0], [5, 5, 5, 0, 5, 0, 5, 0, 5, 5], [0, 5, 5, 0, 5, 5, 0, 5, 0, 5], [5, 0, 5, 5, 5, 0, 0, 0, 0, 0], [5, 0, 0, 5, 5, 0, 5, 0, 5, 5], [5, 5, 5, 5, 5, 5, 0, 5, 5, 5], [5, 5, 0, 0, 5, 0, 0, 0, 5, 5], [0, 0, 5, 5, 0, 5, 5, 5, 5, 5], [5, 0, 0, 0, 0, 5, 0, 0, 5, 5], [0, 5, 5, 5, 5, 0, 5, 5, 0, 0], [0, 0, 0, 0, 0, 0, 5, 5, 0, 5]] -> [[2, 0, 0, 0, 0, 0, 0, 0, 2, 2], [0, 2, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0, 0, 0, 0, 2], [2, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 2, 0, 2, 2], [2, 0, 0, 0, 0, 0, 0, 0, 0, 2], [0, 2, 2, 0, 2, 0, 0, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [5, 5, 5, 0, 5, 0, 5, 0, 5, 5], [0, 5, 5, 0, 5, 5, 0, 5, 0, 5], [5, 0, 5, 5, 5, 0, 0, 0, 0, 0], [5, 0, 0, 5, 5, 0, 5, 0, 5, 5], [5, 5, 5, 5, 5, 5, 0, 5, 5, 5], [5, 5, 0, 0, 5, 0, 0, 0, 5, 5], [0, 0, 5, 5, 0, 5, 5, 5, 5, 5], [5, 0, 0, 0, 0, 5, 0, 0, 5, 5], [0, 5, 5, 5, 5, 0, 5, 5, 0, 0], [0, 0, 0, 0, 0, 0, 5, 5, 0, 5]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            5,
+                            5,
+                            5,
+                            0,
+                            5,
+                            0,
+                            5,
+                            0,
+                            5,
+                            5
+                        ],
+                        [
+                            0,
+                            5,
+                            5,
+                            0,
+                            5,
+                            5,
+                            0,
+                            5,
+                            0,
+                            5
+                        ],
+                        [
+                            5,
+                            0,
+                            5,
+                            5,
+                            5,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            5,
+                            0,
+                            0,
+                            5,
+                            5,
+                            0,
+                            5,
+                            0,
+                            5,
+                            5
+                        ],
+                        [
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            0,
+                            5,
+                            5,
+                            5
+                        ],
+                        [
+                            5,
+                            5,
+                            0,
+                            0,
+                            5,
+                            0,
+                            0,
+                            0,
+                            5,
+                            5
+                        ],
+                        [
+                            0,
+                            0,
+                            5,
+                            5,
+                            0,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5
+                        ],
+                        [
+                            5,
+                            0,
+                            0,
+                            0,
+                            0,
+                            5,
+                            0,
+                            0,
+                            5,
+                            5
+                        ],
+                        [
+                            0,
+                            5,
+                            5,
+                            5,
+                            5,
+                            0,
+                            5,
+                            5,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            5,
+                            5,
+                            0,
+                            5
+                        ]
+                    ],
+                    "output": [
+                        [
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            2
+                        ],
+                        [
+                            0,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2
+                        ],
+                        [
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2
+                        ],
+                        [
+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2
+                        ],
+                        [
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            2
+                        ]
+                    ]
+                }
+            },
+            "Replicate 3": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 4, 4, 4, 4, 0, 0, 0, 4], [4, 0, 4, 0, 4, 4, 0, 4, 4, 4], [0, 0, 4, 4, 4, 4, 0, 0, 0, 0], [0, 0, 0, 0, 4, 4, 4, 0, 0, 4], [0, 0, 4, 4, 4, 4, 4, 4, 0, 0], [4, 4, 4, 0, 0, 0, 0, 4, 0, 4], [0, 4, 4, 4, 4, 4, 0, 0, 4, 4], [4, 4, 0, 4, 4, 4, 0, 4, 0, 4], [4, 4, 0, 4, 4, 0, 0, 0, 0, 0], [4, 0, 0, 4, 4, 4, 4, 0, 0, 4], [0, 0, 0, 0, 5, 5, 5, 5, 0, 5], [0, 0, 5, 5, 5, 0, 0, 5, 0, 0], [5, 0, 0, 5, 5, 5, 0, 0, 0, 0], [5, 0, 5, 0, 5, 0, 0, 5, 5, 0], [0, 5, 0, 0, 0, 5, 5, 0, 0, 0], [0, 5, 5, 0, 5, 0, 0, 0, 0, 0], [5, 0, 5, 5, 0, 5, 5, 5, 0, 0], [0, 5, 5, 0, 5, 5, 0, 0, 5, 5], [0, 0, 0, 5, 0, 5, 0, 0, 0, 5], [5, 5, 0, 5, 5, 0, 5, 0, 0, 5]] -> [[0, 0, 0, 0, 2, 2, 0, 0, 0, 2], [0, 0, 2, 0, 2, 0, 0, 2, 0, 0], [0, 0, 0, 2, 2, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 2, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 2, 0, 2, 0, 0, 0, 0], [0, 2, 0, 0, 2, 2, 0, 0, 0, 2], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [2, 0, 0, 2, 2, 0, 2, 0, 0, 2]]\nExample input-output arrays:\n[[0, 4, 4, 0, 4, 0, 0, 4, 0, 4], [4, 4, 0, 0, 4, 0, 4, 4, 0, 4], [0, 4, 4, 0, 0, 4, 4, 4, 0, 4], [4, 4, 4, 4, 0, 0, 4, 0, 4, 0], [4, 0, 0, 0, 0, 0, 0, 4, 4, 0], [4, 4, 4, 0, 0, 4, 0, 0, 0, 4], [4, 4, 4, 0, 4, 4, 0, 4, 4, 4], [0, 0, 4, 0, 0, 4, 4, 4, 0, 4], [4, 4, 4, 0, 4, 0, 4, 4, 4, 0], [0, 0, 4, 4, 0, 4, 0, 0, 4, 4], [0, 0, 5, 0, 5, 0, 5, 0, 0, 5], [0, 5, 5, 5, 5, 5, 0, 5, 0, 5], [5, 5, 0, 0, 0, 5, 5, 0, 0, 5], [0, 0, 0, 0, 5, 5, 0, 0, 0, 0], [0, 0, 0, 5, 5, 0, 0, 5, 5, 0], [5, 0, 0, 5, 5, 5, 0, 0, 5, 5], [5, 0, 0, 0, 5, 5, 0, 0, 5, 0], [0, 5, 5, 5, 5, 0, 5, 0, 5, 0], [5, 0, 0, 0, 5, 0, 5, 5, 5, 0], [5, 0, 0, 5, 0, 5, 5, 0, 5, 0]] -> [[0, 0, 2, 0, 2, 0, 0, 0, 0, 2], [0, 2, 0, 0, 2, 0, 0, 2, 0, 2], [0, 2, 0, 0, 0, 2, 2, 0, 0, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 2, 0], [2, 0, 0, 0, 0, 2, 0, 0, 0, 2], [2, 0, 0, 0, 2, 2, 0, 0, 2, 0], [0, 0, 2, 0, 0, 0, 2, 0, 0, 0], [2, 0, 0, 0, 2, 0, 2, 2, 2, 0], [0, 0, 0, 2, 0, 2, 0, 0, 2, 0]]\nExample input-output arrays:\n[[0, 0, 0, 4, 0, 0, 0, 0, 0, 4], [0, 4, 0, 0, 4, 0, 0, 0, 4, 0], [4, 4, 0, 4, 0, 4, 4, 4, 4, 0], [4, 0, 0, 0, 4, 4, 0, 4, 0, 4], [4, 0, 0, 0, 0, 0, 4, 0, 0, 4], [0, 4, 4, 4, 0, 0, 0, 0, 4, 0], [0, 4, 4, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 4, 0, 4, 4], [0, 4, 4, 0, 4, 0, 4, 4, 0, 4], [4, 4, 0, 0, 4, 0, 4, 4, 4, 4], [5, 0, 0, 5, 5, 0, 0, 0, 0, 5], [0, 0, 5, 0, 5, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 5, 0, 5, 0, 0], [0, 0, 0, 5, 5, 5, 0, 5, 0, 5], [0, 0, 0, 0, 0, 5, 5, 0, 0, 5], [5, 5, 5, 0, 0, 5, 5, 0, 0, 5], [0, 5, 5, 5, 0, 0, 5, 5, 0, 5], [0, 5, 5, 0, 0, 0, 0, 5, 5, 5], [5, 5, 0, 5, 5, 5, 0, 5, 0, 0], [0, 5, 5, 0, 5, 5, 0, 5, 5, 0]] -> [[0, 0, 0, 2, 0, 0, 0, 0, 0, 2], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 2, 0, 2, 0, 0], [0, 0, 0, 0, 2, 2, 0, 2, 0, 2], [0, 0, 0, 0, 0, 0, 2, 0, 0, 2], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 2], [0, 2, 0, 0, 2, 0, 0, 2, 0, 0], [0, 2, 0, 0, 2, 0, 0, 2, 2, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5, 0, 0, 5, 5, 0, 0, 0, 0, 5], [0, 0, 5, 0, 5, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 5, 0, 5, 0, 0], [0, 0, 0, 5, 5, 5, 0, 5, 0, 5], [0, 0, 0, 0, 0, 5, 5, 0, 0, 5], [5, 5, 5, 0, 0, 5, 5, 0, 0, 5], [0, 5, 5, 5, 0, 0, 5, 5, 0, 5], [0, 5, 5, 0, 0, 0, 0, 5, 5, 5], [5, 5, 0, 5, 5, 5, 0, 5, 0, 0], [0, 5, 5, 0, 5, 5, 0, 5, 5, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
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+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
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+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
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+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
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+                            0,
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+                        ],
+                        [
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+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
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+                        ],
+                        [
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+                            0,
+                            5,
+                            5,
+                            0,
+                            0,
+                            0,
+                            0,
+                            5
+                        ],
+                        [
+                            0,
+                            0,
+                            5,
+                            0,
+                            5,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            5,
+                            0,
+                            0,
+                            0,
+                            0,
+                            5,
+                            0,
+                            5,
+                            0,
+                            0
+                        ],
+                        [
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+                            0,
+                            0,
+                            5,
+                            5,
+                            5,
+                            0,
+                            5,
+                            0,
+                            5
+                        ],
+                        [
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+                            0,
+                            0,
+                            0,
+                            0,
+                            5,
+                            5,
+                            0,
+                            0,
+                            5
+                        ],
+                        [
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+                            5,
+                            5,
+                            0,
+                            0,
+                            5,
+                            5,
+                            0,
+                            0,
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+                        ],
+                        [
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+                            5,
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+                            0,
+                            5,
+                            5,
+                            0,
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+                        ],
+                        [
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+                            5,
+                            0,
+                            0,
+                            0,
+                            0,
+                            5,
+                            5,
+                            5
+                        ],
+                        [
+                            5,
+                            5,
+                            0,
+                            5,
+                            5,
+                            5,
+                            0,
+                            5,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            5,
+                            5,
+                            0,
+                            5,
+                            5,
+                            0,
+                            5,
+                            5,
+                            0
+                        ]
+                    ],
+                    "output": [
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
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+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ]
+                    ]
+                }
+            },
+            "Replicate 4": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[4, 0, 0, 4, 0, 0, 0, 4, 4, 4], [0, 4, 0, 4, 0, 0, 4, 0, 0, 0], [0, 4, 4, 0, 4, 0, 4, 4, 0, 0], [0, 4, 0, 0, 4, 0, 0, 0, 0, 0], [0, 0, 4, 0, 0, 0, 0, 0, 0, 4], [4, 0, 0, 0, 4, 4, 0, 0, 0, 0], [0, 0, 0, 0, 4, 4, 4, 0, 4, 4], [4, 0, 0, 0, 4, 0, 4, 0, 0, 4], [4, 4, 4, 0, 4, 4, 0, 4, 0, 0], [4, 0, 0, 4, 0, 4, 0, 0, 0, 0], [5, 5, 5, 0, 5, 0, 5, 0, 5, 5], [0, 5, 5, 0, 5, 5, 0, 5, 0, 5], [5, 0, 5, 5, 5, 0, 0, 0, 0, 0], [5, 0, 0, 5, 5, 0, 5, 0, 5, 5], [5, 5, 5, 5, 5, 5, 0, 5, 5, 5], [5, 5, 0, 0, 5, 0, 0, 0, 5, 5], [0, 0, 5, 5, 0, 5, 5, 5, 5, 5], [5, 0, 0, 0, 0, 5, 0, 0, 5, 5], [0, 5, 5, 5, 5, 0, 5, 5, 0, 0], [0, 0, 0, 0, 0, 0, 5, 5, 0, 5]] -> [[2, 0, 0, 0, 0, 0, 0, 0, 2, 2], [0, 2, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0, 0, 0, 0, 2], [2, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 2, 0, 2, 2], [2, 0, 0, 0, 0, 0, 0, 0, 0, 2], [0, 2, 2, 0, 2, 0, 0, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 4, 0, 0, 0, 0, 0, 4], [0, 4, 0, 0, 4, 0, 0, 0, 4, 0], [4, 4, 0, 4, 0, 4, 4, 4, 4, 0], [4, 0, 0, 0, 4, 4, 0, 4, 0, 4], [4, 0, 0, 0, 0, 0, 4, 0, 0, 4], [0, 4, 4, 4, 0, 0, 0, 0, 4, 0], [0, 4, 4, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 4, 0, 4, 4], [0, 4, 4, 0, 4, 0, 4, 4, 0, 4], [4, 4, 0, 0, 4, 0, 4, 4, 4, 4], [5, 0, 0, 5, 5, 0, 0, 0, 0, 5], [0, 0, 5, 0, 5, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 5, 0, 5, 0, 0], [0, 0, 0, 5, 5, 5, 0, 5, 0, 5], [0, 0, 0, 0, 0, 5, 5, 0, 0, 5], [5, 5, 5, 0, 0, 5, 5, 0, 0, 5], [0, 5, 5, 5, 0, 0, 5, 5, 0, 5], [0, 5, 5, 0, 0, 0, 0, 5, 5, 5], [5, 5, 0, 5, 5, 5, 0, 5, 0, 0], [0, 5, 5, 0, 5, 5, 0, 5, 5, 0]] -> [[0, 0, 0, 2, 0, 0, 0, 0, 0, 2], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 2, 0, 2, 0, 0], [0, 0, 0, 0, 2, 2, 0, 2, 0, 2], [0, 0, 0, 0, 0, 0, 2, 0, 0, 2], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 2], [0, 2, 0, 0, 2, 0, 0, 2, 0, 0], [0, 2, 0, 0, 2, 0, 0, 2, 2, 0]]\nExample input-output arrays:\n[[0, 0, 0, 4, 0, 0, 0, 0, 0, 4], [0, 4, 0, 0, 4, 0, 0, 0, 4, 0], [4, 4, 0, 4, 0, 4, 4, 4, 4, 0], [4, 0, 0, 0, 4, 4, 0, 4, 0, 4], [4, 0, 0, 0, 0, 0, 4, 0, 0, 4], [0, 4, 4, 4, 0, 0, 0, 0, 4, 0], [0, 4, 4, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 4, 0, 4, 4], [0, 4, 4, 0, 4, 0, 4, 4, 0, 4], [4, 4, 0, 0, 4, 0, 4, 4, 4, 4], [5, 0, 0, 5, 5, 0, 0, 0, 0, 5], [0, 0, 5, 0, 5, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 5, 0, 5, 0, 0], [0, 0, 0, 5, 5, 5, 0, 5, 0, 5], [0, 0, 0, 0, 0, 5, 5, 0, 0, 5], [5, 5, 5, 0, 0, 5, 5, 0, 0, 5], [0, 5, 5, 5, 0, 0, 5, 5, 0, 5], [0, 5, 5, 0, 0, 0, 0, 5, 5, 5], [5, 5, 0, 5, 5, 5, 0, 5, 0, 0], [0, 5, 5, 0, 5, 5, 0, 5, 5, 0]] -> [[0, 0, 0, 2, 0, 0, 0, 0, 0, 2], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 2, 0, 2, 0, 0], [0, 0, 0, 0, 2, 2, 0, 2, 0, 2], [0, 0, 0, 0, 0, 0, 2, 0, 0, 2], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 2], [0, 2, 0, 0, 2, 0, 0, 2, 0, 0], [0, 2, 0, 0, 2, 0, 0, 2, 2, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 4, 0, 0, 0, 0, 0, 4], [0, 4, 0, 0, 4, 0, 0, 0, 4, 0], [4, 4, 0, 4, 0, 4, 4, 4, 4, 0], [4, 0, 0, 0, 4, 4, 0, 4, 0, 4], [4, 0, 0, 0, 0, 0, 4, 0, 0, 4], [0, 4, 4, 4, 0, 0, 0, 0, 4, 0], [0, 4, 4, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 4, 0, 4, 4], [0, 4, 4, 0, 4, 0, 4, 4, 0, 4], [4, 4, 0, 0, 4, 0, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            0,
+                            0,
+                            0,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            4
+                        ],
+                        [
+                            0,
+                            4,
+                            0,
+                            0,
+                            4,
+                            0,
+                            0,
+                            0,
+                            4,
+                            0
+                        ],
+                        [
+                            4,
+                            4,
+                            0,
+                            4,
+                            0,
+                            4,
+                            4,
+                            4,
+                            4,
+                            0
+                        ],
+                        [
+                            4,
+                            0,
+                            0,
+                            0,
+                            4,
+                            4,
+                            0,
+                            4,
+                            0,
+                            4
+                        ],
+                        [
+                            4,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            4,
+                            0,
+                            0,
+                            4
+                        ],
+                        [
+                            0,
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0,
+                            4,
+                            0
+                        ],
+                        [
+                            0,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            4,
+                            0,
+                            4,
+                            4
+                        ],
+                        [
+                            0,
+                            4,
+                            4,
+                            0,
+                            4,
+                            0,
+                            4,
+                            4,
+                            0,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            0,
+                            0,
+                            4,
+                            0,
+                            4,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5
+                        ],
+                        [
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5
+                        ],
+                        [
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5
+                        ],
+                        [
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5
+                        ],
+                        [
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5
+                        ],
+                        [
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5
+                        ],
+                        [
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5
+                        ],
+                        [
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5
+                        ],
+                        [
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5
+                        ],
+                        [
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5
+                        ]
+                    ],
+                    "output": [
+                        [
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2
+                        ],
+                        [
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0
+                        ],
+                        [
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0
+                        ],
+                        [
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2
+                        ],
+                        [
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            2
+                        ],
+                        [
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0
+                        ],
+                        [
+                            0,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            2,
+                            2
+                        ],
+                        [
+                            0,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            2,
+                            0,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2
+                        ]
+                    ]
+                }
+            }
+        },
+        "L3": {
+            "Replicate 0": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[4, 0, 0, 4, 0, 0, 0, 4, 4, 4], [0, 4, 0, 4, 0, 0, 4, 0, 0, 0], [0, 4, 4, 0, 4, 0, 4, 4, 0, 0], [0, 4, 0, 0, 4, 0, 0, 0, 0, 0], [0, 0, 4, 0, 0, 0, 0, 0, 0, 4], [4, 0, 0, 0, 4, 4, 0, 0, 0, 0], [0, 0, 0, 0, 4, 4, 4, 0, 4, 4], [4, 0, 0, 0, 4, 0, 4, 0, 0, 4], [4, 4, 4, 0, 4, 4, 0, 4, 0, 0], [4, 0, 0, 4, 0, 4, 0, 0, 0, 0], [5, 5, 5, 0, 5, 0, 5, 0, 5, 5], [0, 5, 5, 0, 5, 5, 0, 5, 0, 5], [5, 0, 5, 5, 5, 0, 0, 0, 0, 0], [5, 0, 0, 5, 5, 0, 5, 0, 5, 5], [5, 5, 5, 5, 5, 5, 0, 5, 5, 5], [5, 5, 0, 0, 5, 0, 0, 0, 5, 5], [0, 0, 5, 5, 0, 5, 5, 5, 5, 5], [5, 0, 0, 0, 0, 5, 0, 0, 5, 5], [0, 5, 5, 5, 5, 0, 5, 5, 0, 0], [0, 0, 0, 0, 0, 0, 5, 5, 0, 5]] -> [[2, 0, 0, 0, 0, 0, 0, 0, 2, 2], [0, 2, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0, 0, 0, 0, 2], [2, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 2, 0, 2, 2], [2, 0, 0, 0, 0, 0, 0, 0, 0, 2], [0, 2, 2, 0, 2, 0, 0, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[4, 0, 0, 4, 0, 0, 0, 4, 4, 4], [0, 4, 0, 4, 0, 0, 4, 0, 0, 0], [0, 4, 4, 0, 4, 0, 4, 4, 0, 0], [0, 4, 0, 0, 4, 0, 0, 0, 0, 0], [0, 0, 4, 0, 0, 0, 0, 0, 0, 4], [4, 0, 0, 0, 4, 4, 0, 0, 0, 0], [0, 0, 0, 0, 4, 4, 4, 0, 4, 4], [4, 0, 0, 0, 4, 0, 4, 0, 0, 4], [4, 4, 4, 0, 4, 4, 0, 4, 0, 0], [4, 0, 0, 4, 0, 4, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 4, 0, 0, 0, 0, 0, 4], [0, 4, 0, 0, 4, 0, 0, 0, 4, 0], [4, 4, 0, 4, 0, 4, 4, 4, 4, 0], [4, 0, 0, 0, 4, 4, 0, 4, 0, 4], [4, 0, 0, 0, 0, 0, 4, 0, 0, 4], [0, 4, 4, 4, 0, 0, 0, 0, 4, 0], [0, 4, 4, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 4, 0, 4, 4], [0, 4, 4, 0, 4, 0, 4, 4, 0, 4], [4, 4, 0, 0, 4, 0, 4, 4, 4, 4], [5, 0, 0, 5, 5, 0, 0, 0, 0, 5], [0, 0, 5, 0, 5, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 5, 0, 5, 0, 0], [0, 0, 0, 5, 5, 5, 0, 5, 0, 5], [0, 0, 0, 0, 0, 5, 5, 0, 0, 5], [5, 5, 5, 0, 0, 5, 5, 0, 0, 5], [0, 5, 5, 5, 0, 0, 5, 5, 0, 5], [0, 5, 5, 0, 0, 0, 0, 5, 5, 5], [5, 5, 0, 5, 5, 5, 0, 5, 0, 0], [0, 5, 5, 0, 5, 5, 0, 5, 5, 0]] -> [[0, 0, 0, 2, 0, 0, 0, 0, 0, 2], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 2, 0, 2, 0, 0], [0, 0, 0, 0, 2, 2, 0, 2, 0, 2], [0, 0, 0, 0, 0, 0, 2, 0, 0, 2], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 2], [0, 2, 0, 0, 2, 0, 0, 2, 0, 0], [0, 2, 0, 0, 2, 0, 0, 2, 2, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 0, 0, 8, 0, 0, 0, 0, 0, 8], [0, 8, 0, 0, 8, 0, 0, 0, 8, 0], [8, 8, 0, 8, 0, 8, 8, 8, 8, 0], [8, 0, 0, 0, 8, 8, 0, 8, 0, 8], [8, 0, 0, 0, 0, 0, 8, 0, 0, 8], [0, 8, 8, 8, 0, 0, 0, 0, 8, 0], [0, 8, 8, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 8, 0, 8, 8], [0, 8, 8, 0, 8, 0, 8, 8, 0, 8], [8, 8, 0, 0, 8, 0, 8, 8, 8, 8], [5, 0, 0, 5, 5, 0, 0, 0, 0, 5], [0, 0, 5, 0, 5, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 5, 0, 5, 0, 0], [0, 0, 0, 5, 5, 5, 0, 5, 0, 5], [0, 0, 0, 0, 0, 5, 5, 0, 0, 5], [5, 5, 5, 0, 0, 5, 5, 0, 0, 5], [0, 5, 5, 5, 0, 0, 5, 5, 0, 5], [0, 5, 5, 0, 0, 0, 0, 5, 5, 5], [5, 5, 0, 5, 5, 5, 0, 5, 0, 0], [0, 5, 5, 0, 5, 5, 0, 5, 5, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            0,
+                            0,
+                            0,
+                            8,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            8
+                        ],
+                        [
+                            0,
+                            8,
+                            0,
+                            0,
+                            8,
+                            0,
+                            0,
+                            0,
+                            8,
+                            0
+                        ],
+                        [
+                            8,
+                            8,
+                            0,
+                            8,
+                            0,
+                            8,
+                            8,
+                            8,
+                            8,
+                            0
+                        ],
+                        [
+                            8,
+                            0,
+                            0,
+                            0,
+                            8,
+                            8,
+                            0,
+                            8,
+                            0,
+                            8
+                        ],
+                        [
+                            8,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            8,
+                            0,
+                            0,
+                            8
+                        ],
+                        [
+                            0,
+                            8,
+                            8,
+                            8,
+                            0,
+                            0,
+                            0,
+                            0,
+                            8,
+                            0
+                        ],
+                        [
+                            0,
+                            8,
+                            8,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            8,
+                            0,
+                            8,
+                            8
+                        ],
+                        [
+                            0,
+                            8,
+                            8,
+                            0,
+                            8,
+                            0,
+                            8,
+                            8,
+                            0,
+                            8
+                        ],
+                        [
+                            8,
+                            8,
+                            0,
+                            0,
+                            8,
+                            0,
+                            8,
+                            8,
+                            8,
+                            8
+                        ],
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+                        [
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+                        [
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+                        [
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+                        [
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+                            0,
+                            0,
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+                            5,
+                            5,
+                            0,
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+                        [
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+                            5,
+                            0,
+                            0,
+                            5,
+                            5,
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+                        ],
+                        [
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+                            5,
+                            5,
+                            0,
+                            0,
+                            5,
+                            5,
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+                        [
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+                        [
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+                        [
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+                            0,
+                            5,
+                            5,
+                            0,
+                            5,
+                            5,
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+                        ]
+                    ],
+                    "output": [
+                        [
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+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
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+                        ],
+                        [
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+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
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+                        ],
+                        [
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+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0
+                        ],
+                        [
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+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2
+                        ],
+                        [
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+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
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+                        ],
+                        [
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+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
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+                            2,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
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+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
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+                        ],
+                        [
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
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+                        ],
+                        [
+                            0,
+                            2,
+                            0,
+                            0,
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+                            0,
+                            0,
+                            2,
+                            2,
+                            0
+                        ]
+                    ]
+                }
+            },
+            "Replicate 1": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 0, 4, 0, 0, 0, 0, 0, 4], [0, 4, 0, 0, 4, 0, 0, 0, 4, 0], [4, 4, 0, 4, 0, 4, 4, 4, 4, 0], [4, 0, 0, 0, 4, 4, 0, 4, 0, 4], [4, 0, 0, 0, 0, 0, 4, 0, 0, 4], [0, 4, 4, 4, 0, 0, 0, 0, 4, 0], [0, 4, 4, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 4, 0, 4, 4], [0, 4, 4, 0, 4, 0, 4, 4, 0, 4], [4, 4, 0, 0, 4, 0, 4, 4, 4, 4], [5, 0, 0, 5, 5, 0, 0, 0, 0, 5], [0, 0, 5, 0, 5, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 5, 0, 5, 0, 0], [0, 0, 0, 5, 5, 5, 0, 5, 0, 5], [0, 0, 0, 0, 0, 5, 5, 0, 0, 5], [5, 5, 5, 0, 0, 5, 5, 0, 0, 5], [0, 5, 5, 5, 0, 0, 5, 5, 0, 5], [0, 5, 5, 0, 0, 0, 0, 5, 5, 5], [5, 5, 0, 5, 5, 5, 0, 5, 0, 0], [0, 5, 5, 0, 5, 5, 0, 5, 5, 0]] -> [[0, 0, 0, 2, 0, 0, 0, 0, 0, 2], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 2, 0, 2, 0, 0], [0, 0, 0, 0, 2, 2, 0, 2, 0, 2], [0, 0, 0, 0, 0, 0, 2, 0, 0, 2], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 2], [0, 2, 0, 0, 2, 0, 0, 2, 0, 0], [0, 2, 0, 0, 2, 0, 0, 2, 2, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 4, 0, 0, 0, 0, 0, 4], [0, 4, 0, 0, 4, 0, 0, 0, 4, 0], [4, 4, 0, 4, 0, 4, 4, 4, 4, 0], [4, 0, 0, 0, 4, 4, 0, 4, 0, 4], [4, 0, 0, 0, 0, 0, 4, 0, 0, 4], [0, 4, 4, 4, 0, 0, 0, 0, 4, 0], [0, 4, 4, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 4, 0, 4, 4], [0, 4, 4, 0, 4, 0, 4, 4, 0, 4], [4, 4, 0, 0, 4, 0, 4, 4, 4, 4], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5]] -> [[0, 0, 0, 2, 0, 0, 0, 0, 0, 2], [0, 2, 0, 0, 2, 0, 0, 0, 2, 0], [2, 2, 0, 2, 0, 2, 2, 2, 2, 0], [2, 0, 0, 0, 2, 2, 0, 2, 0, 2], [2, 0, 0, 0, 0, 0, 2, 0, 0, 2], [0, 2, 2, 2, 0, 0, 0, 0, 2, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2, 0, 2, 2], [0, 2, 2, 0, 2, 0, 2, 2, 0, 2], [2, 2, 0, 0, 2, 0, 2, 2, 2, 2]]\nExample input-output arrays:\n[[0, 0, 4, 0, 4, 0, 0, 0, 0, 0], [4, 0, 4, 0, 0, 4, 4, 4, 0, 4], [4, 4, 4, 0, 4, 4, 4, 0, 4, 0], [0, 0, 0, 0, 0, 4, 0, 4, 4, 0], [4, 4, 0, 4, 4, 0, 4, 0, 4, 0], [0, 0, 4, 0, 4, 0, 0, 4, 0, 0], [4, 0, 0, 0, 0, 0, 0, 4, 4, 0], [0, 0, 0, 0, 0, 0, 4, 0, 4, 0], [0, 0, 0, 0, 0, 4, 0, 0, 0, 4], [4, 4, 4, 4, 4, 4, 4, 4, 0, 0], [5, 0, 0, 0, 5, 5, 5, 0, 5, 5], [5, 5, 5, 0, 5, 0, 0, 5, 5, 0], [0, 5, 0, 0, 0, 0, 5, 5, 0, 5], [5, 0, 5, 0, 0, 0, 0, 5, 5, 0], [0, 5, 0, 0, 5, 5, 0, 5, 5, 5], [0, 5, 0, 5, 5, 5, 5, 5, 5, 5], [5, 5, 0, 0, 5, 5, 5, 0, 0, 0], [5, 0, 0, 0, 0, 0, 5, 5, 5, 0], [0, 0, 0, 0, 5, 5, 0, 0, 5, 0], [0, 5, 0, 5, 5, 5, 5, 5, 5, 0]] -> [[0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 0, 0, 2, 0, 0], [0, 2, 0, 0, 0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 2, 0], [0, 2, 0, 0, 2, 0, 0, 0, 2, 0], [0, 0, 0, 0, 2, 0, 0, 2, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2, 0, 2, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 2, 0, 2, 2, 2, 2, 2, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing the causal function for some elements.\n[[4, 4, 0, 4, 0, 4, 4, 4, 4, 4], [0, 4, 0, 4, 4, 0, 0, 0, 4, 0], [0, 0, 0, 4, 0, 0, 0, 4, 0, 4], [4, 4, 4, 4, 4, 0, 4, 0, 0, 4], [0, 0, 4, 0, 0, 4, 0, 4, 0, 4], [4, 4, 0, 4, 0, 4, 4, 0, 4, 4], [0, 4, 4, 4, 4, 4, 4, 0, 0, 4], [4, 4, 4, 4, 4, 4, 0, 4, 0, 4], [4, 4, 4, 4, 4, 0, 4, 4, 4, 0], [0, 0, 0, 0, 0, 0, 0, 0, 4, 4], [5, 0, 0, 0, 5, 5, 5, 0, 5, 5], [5, 5, 5, 0, 5, 0, 0, 5, 5, 0], [0, 5, 0, 0, 0, 0, 5, 5, 0, 5], [5, 0, 5, 0, 0, 0, 0, 5, 5, 0], [0, 5, 0, 0, 5, 5, 0, 5, 5, 5], [0, 5, 0, 5, 5, 5, 5, 5, 5, 5], [5, 5, 0, 0, 5, 5, 5, 0, 0, 0], [5, 0, 0, 0, 0, 0, 5, 5, 5, 0], [0, 0, 0, 0, 5, 5, 0, 0, 5, 0], [0, 5, 0, 5, 5, 5, 5, 5, 5, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
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+                            4,
+                            0,
+                            4,
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+                        [
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+                            4,
+                            0,
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+                        ],
+                        [
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+                        ],
+                        [
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+                            4,
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+                            4,
+                            0,
+                            4,
+                            0,
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+                        ],
+                        [
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+                        ],
+                        [
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+                        [
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+                        ],
+                        [
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+                            4,
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+                        ],
+                        [
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+                        [
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+                        ],
+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                            5,
+                            5,
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+                        ]
+                    ],
+                    "output": [
+                        [
+                            2,
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+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
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+                        [
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+                        [
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+                            0,
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+                        ],
+                        [
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+                            0,
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+                        [
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+                        [
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+                            2,
+                            2,
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+                            2,
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+                        ],
+                        [
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+                            2,
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+                        [
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+                            0,
+                            0,
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+                            0,
+                            0,
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+                        [
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+                        [
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+                            0,
+                            0,
+                            0,
+                            2,
+                            0
+                        ]
+                    ]
+                }
+            },
+            "Replicate 2": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 0, 4, 0, 0, 0, 0, 0, 4], [0, 4, 0, 0, 4, 0, 0, 0, 4, 0], [4, 4, 0, 4, 0, 4, 4, 4, 4, 0], [4, 0, 0, 0, 4, 4, 0, 4, 0, 4], [4, 0, 0, 0, 0, 0, 4, 0, 0, 4], [0, 4, 4, 4, 0, 0, 0, 0, 4, 0], [0, 4, 4, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 4, 0, 4, 4], [0, 4, 4, 0, 4, 0, 4, 4, 0, 4], [4, 4, 0, 0, 4, 0, 4, 4, 4, 4], [5, 0, 0, 5, 5, 0, 0, 0, 0, 5], [0, 0, 5, 0, 5, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 5, 0, 5, 0, 0], [0, 0, 0, 5, 5, 5, 0, 5, 0, 5], [0, 0, 0, 0, 0, 5, 5, 0, 0, 5], [5, 5, 5, 0, 0, 5, 5, 0, 0, 5], [0, 5, 5, 5, 0, 0, 5, 5, 0, 5], [0, 5, 5, 0, 0, 0, 0, 5, 5, 5], [5, 5, 0, 5, 5, 5, 0, 5, 0, 0], [0, 5, 5, 0, 5, 5, 0, 5, 5, 0]] -> [[0, 0, 0, 2, 0, 0, 0, 0, 0, 2], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 2, 0, 2, 0, 0], [0, 0, 0, 0, 2, 2, 0, 2, 0, 2], [0, 0, 0, 0, 0, 0, 2, 0, 0, 2], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 2], [0, 2, 0, 0, 2, 0, 0, 2, 0, 0], [0, 2, 0, 0, 2, 0, 0, 2, 2, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 0, 0, 9, 0, 0, 0, 0, 0, 9], [0, 9, 0, 0, 9, 0, 0, 0, 9, 0], [9, 9, 0, 9, 0, 9, 9, 9, 9, 0], [9, 0, 0, 0, 9, 9, 0, 9, 0, 9], [9, 0, 0, 0, 0, 0, 9, 0, 0, 9], [0, 9, 9, 9, 0, 0, 0, 0, 9, 0], [0, 9, 9, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 9, 0, 9, 9], [0, 9, 9, 0, 9, 0, 9, 9, 0, 9], [9, 9, 0, 0, 9, 0, 9, 9, 9, 9], [5, 0, 0, 5, 5, 0, 0, 0, 0, 5], [0, 0, 5, 0, 5, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 5, 0, 5, 0, 0], [0, 0, 0, 5, 5, 5, 0, 5, 0, 5], [0, 0, 0, 0, 0, 5, 5, 0, 0, 5], [5, 5, 5, 0, 0, 5, 5, 0, 0, 5], [0, 5, 5, 5, 0, 0, 5, 5, 0, 5], [0, 5, 5, 0, 0, 0, 0, 5, 5, 5], [5, 5, 0, 5, 5, 5, 0, 5, 0, 0], [0, 5, 5, 0, 5, 5, 0, 5, 5, 0]] -> [[0, 0, 0, 2, 0, 0, 0, 0, 0, 2], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 2, 0, 2, 0, 0], [0, 0, 0, 0, 2, 2, 0, 2, 0, 2], [0, 0, 0, 0, 0, 0, 2, 0, 0, 2], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 2], [0, 2, 0, 0, 2, 0, 0, 2, 0, 0], [0, 2, 0, 0, 2, 0, 0, 2, 2, 0]]\nExample input-output arrays:\n[[0, 4, 4, 0, 4, 0, 0, 4, 0, 4], [4, 4, 0, 0, 4, 0, 4, 4, 0, 4], [0, 4, 4, 0, 0, 4, 4, 4, 0, 4], [4, 4, 4, 4, 0, 0, 4, 0, 4, 0], [4, 0, 0, 0, 0, 0, 0, 4, 4, 0], [4, 4, 4, 0, 0, 4, 0, 0, 0, 4], [4, 4, 4, 0, 4, 4, 0, 4, 4, 4], [0, 0, 4, 0, 0, 4, 4, 4, 0, 4], [4, 4, 4, 0, 4, 0, 4, 4, 4, 0], [0, 0, 4, 4, 0, 4, 0, 0, 4, 4], [0, 0, 5, 0, 5, 0, 5, 0, 0, 5], [0, 5, 5, 5, 5, 5, 0, 5, 0, 5], [5, 5, 0, 0, 0, 5, 5, 0, 0, 5], [0, 0, 0, 0, 5, 5, 0, 0, 0, 0], [0, 0, 0, 5, 5, 0, 0, 5, 5, 0], [5, 0, 0, 5, 5, 5, 0, 0, 5, 5], [5, 0, 0, 0, 5, 5, 0, 0, 5, 0], [0, 5, 5, 5, 5, 0, 5, 0, 5, 0], [5, 0, 0, 0, 5, 0, 5, 5, 5, 0], [5, 0, 0, 5, 0, 5, 5, 0, 5, 0]] -> [[0, 0, 2, 0, 2, 0, 0, 0, 0, 2], [0, 2, 0, 0, 2, 0, 0, 2, 0, 2], [0, 2, 0, 0, 0, 2, 2, 0, 0, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 2, 0], [2, 0, 0, 0, 0, 2, 0, 0, 0, 2], [2, 0, 0, 0, 2, 2, 0, 0, 2, 0], [0, 0, 2, 0, 0, 0, 2, 0, 0, 0], [2, 0, 0, 0, 2, 0, 2, 2, 2, 0], [0, 0, 0, 2, 0, 2, 0, 0, 2, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 5, 0, 5, 0, 5, 0, 0, 5], [0, 5, 5, 5, 5, 5, 0, 5, 0, 5], [5, 5, 0, 0, 0, 5, 5, 0, 0, 5], [0, 0, 0, 0, 5, 5, 0, 0, 0, 0], [0, 0, 0, 5, 5, 0, 0, 5, 5, 0], [5, 0, 0, 5, 5, 5, 0, 0, 5, 5], [5, 0, 0, 0, 5, 5, 0, 0, 5, 0], [0, 5, 5, 5, 5, 0, 5, 0, 5, 0], [5, 0, 0, 0, 5, 0, 5, 5, 5, 0], [5, 0, 0, 5, 0, 5, 5, 0, 5, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            0,
+                            0,
+                            5,
+                            0,
+                            5,
+                            0,
+                            5,
+                            0,
+                            0,
+                            5
+                        ],
+                        [
+                            0,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            0,
+                            5,
+                            0,
+                            5
+                        ],
+                        [
+                            5,
+                            5,
+                            0,
+                            0,
+                            0,
+                            5,
+                            5,
+                            0,
+                            0,
+                            5
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            5,
+                            5,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            5,
+                            5,
+                            0,
+                            0,
+                            5,
+                            5,
+                            0
+                        ],
+                        [
+                            5,
+                            0,
+                            0,
+                            5,
+                            5,
+                            5,
+                            0,
+                            0,
+                            5,
+                            5
+                        ],
+                        [
+                            5,
+                            0,
+                            0,
+                            0,
+                            5,
+                            5,
+                            0,
+                            0,
+                            5,
+                            0
+                        ],
+                        [
+                            0,
+                            5,
+                            5,
+                            5,
+                            5,
+                            0,
+                            5,
+                            0,
+                            5,
+                            0
+                        ],
+                        [
+                            5,
+                            0,
+                            0,
+                            0,
+                            5,
+                            0,
+                            5,
+                            5,
+                            5,
+                            0
+                        ],
+                        [
+                            5,
+                            0,
+                            0,
+                            5,
+                            0,
+                            5,
+                            5,
+                            0,
+                            5,
+                            0
+                        ]
+                    ],
+                    "output": [
+                        [
+                            0,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            2
+                        ],
+                        [
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0
+                        ],
+                        [
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0
+                        ],
+                        [
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0
+                        ],
+                        [
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0
+                        ],
+                        [
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0
+                        ]
+                    ]
+                }
+            },
+            "Replicate 3": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 4, 0, 4, 0, 0, 0, 0, 0], [4, 0, 4, 0, 0, 4, 4, 4, 0, 4], [4, 4, 4, 0, 4, 4, 4, 0, 4, 0], [0, 0, 0, 0, 0, 4, 0, 4, 4, 0], [4, 4, 0, 4, 4, 0, 4, 0, 4, 0], [0, 0, 4, 0, 4, 0, 0, 4, 0, 0], [4, 0, 0, 0, 0, 0, 0, 4, 4, 0], [0, 0, 0, 0, 0, 0, 4, 0, 4, 0], [0, 0, 0, 0, 0, 4, 0, 0, 0, 4], [4, 4, 4, 4, 4, 4, 4, 4, 0, 0], [5, 0, 0, 0, 5, 5, 5, 0, 5, 5], [5, 5, 5, 0, 5, 0, 0, 5, 5, 0], [0, 5, 0, 0, 0, 0, 5, 5, 0, 5], [5, 0, 5, 0, 0, 0, 0, 5, 5, 0], [0, 5, 0, 0, 5, 5, 0, 5, 5, 5], [0, 5, 0, 5, 5, 5, 5, 5, 5, 5], [5, 5, 0, 0, 5, 5, 5, 0, 0, 0], [5, 0, 0, 0, 0, 0, 5, 5, 5, 0], [0, 0, 0, 0, 5, 5, 0, 0, 5, 0], [0, 5, 0, 5, 5, 5, 5, 5, 5, 0]] -> [[0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 0, 0, 2, 0, 0], [0, 2, 0, 0, 0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 2, 0], [0, 2, 0, 0, 2, 0, 0, 0, 2, 0], [0, 0, 0, 0, 2, 0, 0, 2, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2, 0, 2, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 2, 0, 2, 2, 2, 2, 2, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 4, 0, 4, 0, 0, 0, 0, 0], [4, 0, 4, 0, 0, 4, 4, 4, 0, 4], [4, 4, 4, 0, 4, 4, 4, 0, 4, 0], [0, 0, 0, 0, 0, 4, 0, 4, 4, 0], [4, 4, 0, 4, 4, 0, 4, 0, 4, 0], [0, 0, 4, 0, 4, 0, 0, 4, 0, 0], [4, 0, 0, 0, 0, 0, 0, 4, 4, 0], [0, 0, 0, 0, 0, 0, 4, 0, 4, 0], [0, 0, 0, 0, 0, 4, 0, 0, 0, 4], [4, 4, 4, 4, 4, 4, 4, 4, 0, 0], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5]] -> [[0, 0, 2, 0, 2, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 2, 2, 0, 2], [2, 2, 2, 0, 2, 2, 2, 0, 2, 0], [0, 0, 0, 0, 0, 2, 0, 2, 2, 0], [2, 2, 0, 2, 2, 0, 2, 0, 2, 0], [0, 0, 2, 0, 2, 0, 0, 2, 0, 0], [2, 0, 0, 0, 0, 0, 0, 2, 2, 0], [0, 0, 0, 0, 0, 0, 2, 0, 2, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 2], [2, 2, 2, 2, 2, 2, 2, 2, 0, 0]]\nExample input-output arrays:\n[[0, 0, 4, 4, 4, 4, 0, 0, 0, 4], [4, 0, 4, 0, 4, 4, 0, 4, 4, 4], [0, 0, 4, 4, 4, 4, 0, 0, 0, 0], [0, 0, 0, 0, 4, 4, 4, 0, 0, 4], [0, 0, 4, 4, 4, 4, 4, 4, 0, 0], [4, 4, 4, 0, 0, 0, 0, 4, 0, 4], [0, 4, 4, 4, 4, 4, 0, 0, 4, 4], [4, 4, 0, 4, 4, 4, 0, 4, 0, 4], [4, 4, 0, 4, 4, 0, 0, 0, 0, 0], [4, 0, 0, 4, 4, 4, 4, 0, 0, 4], [0, 0, 0, 0, 5, 5, 5, 5, 0, 5], [0, 0, 5, 5, 5, 0, 0, 5, 0, 0], [5, 0, 0, 5, 5, 5, 0, 0, 0, 0], [5, 0, 5, 0, 5, 0, 0, 5, 5, 0], [0, 5, 0, 0, 0, 5, 5, 0, 0, 0], [0, 5, 5, 0, 5, 0, 0, 0, 0, 0], [5, 0, 5, 5, 0, 5, 5, 5, 0, 0], [0, 5, 5, 0, 5, 5, 0, 0, 5, 5], [0, 0, 0, 5, 0, 5, 0, 0, 0, 5], [5, 5, 0, 5, 5, 0, 5, 0, 0, 5]] -> [[0, 0, 0, 0, 2, 2, 0, 0, 0, 2], [0, 0, 2, 0, 2, 0, 0, 2, 0, 0], [0, 0, 0, 2, 2, 2, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 2, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 2, 0, 2, 0, 0, 0, 0], [0, 2, 0, 0, 2, 2, 0, 0, 0, 2], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [2, 0, 0, 2, 2, 0, 2, 0, 0, 2]]\nCounterfactual: Now imagine that we intervened on the previous input by changing the causal function for some elements.\n[[4, 4, 0, 0, 0, 0, 4, 4, 4, 0], [0, 4, 0, 4, 0, 0, 4, 0, 0, 0], [4, 4, 0, 0, 0, 0, 4, 4, 4, 4], [4, 4, 4, 4, 0, 0, 0, 4, 4, 0], [4, 4, 0, 0, 0, 0, 0, 0, 4, 4], [0, 0, 0, 4, 4, 4, 4, 0, 4, 0], [4, 0, 0, 0, 0, 0, 4, 4, 0, 0], [0, 0, 4, 0, 0, 0, 4, 0, 4, 0], [0, 0, 4, 0, 0, 4, 4, 4, 4, 4], [0, 4, 4, 0, 0, 0, 0, 4, 4, 0], [0, 0, 0, 0, 5, 5, 5, 5, 0, 5], [0, 0, 5, 5, 5, 0, 0, 5, 0, 0], [5, 0, 0, 5, 5, 5, 0, 0, 0, 0], [5, 0, 5, 0, 5, 0, 0, 5, 5, 0], [0, 5, 0, 0, 0, 5, 5, 0, 0, 0], [0, 5, 5, 0, 5, 0, 0, 0, 0, 0], [5, 0, 5, 5, 0, 5, 5, 5, 0, 0], [0, 5, 5, 0, 5, 5, 0, 0, 5, 5], [0, 0, 0, 5, 0, 5, 0, 0, 0, 5], [5, 5, 0, 5, 5, 0, 5, 0, 0, 5]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0,
+                            4,
+                            4,
+                            4,
+                            0
+                        ],
+                        [
+                            0,
+                            4,
+                            0,
+                            4,
+                            0,
+                            0,
+                            4,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0,
+                            4,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            4,
+                            4,
+                            0
+                        ],
+                        [
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            4,
+                            4
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            4,
+                            4,
+                            4,
+                            4,
+                            0,
+                            4,
+                            0
+                        ],
+                        [
+                            4,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            4,
+                            4,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            4,
+                            0,
+                            0,
+                            0,
+                            4,
+                            0,
+                            4,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            4,
+                            0,
+                            0,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            0,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0,
+                            4,
+                            4,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            5,
+                            5,
+                            5,
+                            5,
+                            0,
+                            5
+                        ],
+                        [
+                            0,
+                            0,
+                            5,
+                            5,
+                            5,
+                            0,
+                            0,
+                            5,
+                            0,
+                            0
+                        ],
+                        [
+                            5,
+                            0,
+                            0,
+                            5,
+                            5,
+                            5,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            5,
+                            0,
+                            5,
+                            0,
+                            5,
+                            0,
+                            0,
+                            5,
+                            5,
+                            0
+                        ],
+                        [
+                            0,
+                            5,
+                            0,
+                            0,
+                            0,
+                            5,
+                            5,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            5,
+                            5,
+                            0,
+                            5,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            5,
+                            0,
+                            5,
+                            5,
+                            0,
+                            5,
+                            5,
+                            5,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            5,
+                            5,
+                            0,
+                            5,
+                            5,
+                            0,
+                            0,
+                            5,
+                            5
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            5,
+                            0,
+                            5,
+                            0,
+                            0,
+                            0,
+                            5
+                        ],
+                        [
+                            5,
+                            5,
+                            0,
+                            5,
+                            5,
+                            0,
+                            5,
+                            0,
+                            0,
+                            5
+                        ]
+                    ],
+                    "output": [
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0
+                        ],
+                        [
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2
+                        ],
+                        [
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ]
+                    ]
+                }
+            },
+            "Replicate 4": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 4, 0, 4, 0, 0, 0, 0, 0], [4, 0, 4, 0, 0, 4, 4, 4, 0, 4], [4, 4, 4, 0, 4, 4, 4, 0, 4, 0], [0, 0, 0, 0, 0, 4, 0, 4, 4, 0], [4, 4, 0, 4, 4, 0, 4, 0, 4, 0], [0, 0, 4, 0, 4, 0, 0, 4, 0, 0], [4, 0, 0, 0, 0, 0, 0, 4, 4, 0], [0, 0, 0, 0, 0, 0, 4, 0, 4, 0], [0, 0, 0, 0, 0, 4, 0, 0, 0, 4], [4, 4, 4, 4, 4, 4, 4, 4, 0, 0], [5, 0, 0, 0, 5, 5, 5, 0, 5, 5], [5, 5, 5, 0, 5, 0, 0, 5, 5, 0], [0, 5, 0, 0, 0, 0, 5, 5, 0, 5], [5, 0, 5, 0, 0, 0, 0, 5, 5, 0], [0, 5, 0, 0, 5, 5, 0, 5, 5, 5], [0, 5, 0, 5, 5, 5, 5, 5, 5, 5], [5, 5, 0, 0, 5, 5, 5, 0, 0, 0], [5, 0, 0, 0, 0, 0, 5, 5, 5, 0], [0, 0, 0, 0, 5, 5, 0, 0, 5, 0], [0, 5, 0, 5, 5, 5, 5, 5, 5, 0]] -> [[0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 0, 0, 2, 0, 0], [0, 2, 0, 0, 0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 2, 0], [0, 2, 0, 0, 2, 0, 0, 0, 2, 0], [0, 0, 0, 0, 2, 0, 0, 2, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2, 0, 2, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 2, 0, 2, 2, 2, 2, 2, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [5, 0, 0, 0, 5, 5, 5, 0, 5, 5], [5, 5, 5, 0, 5, 0, 0, 5, 5, 0], [0, 5, 0, 0, 0, 0, 5, 5, 0, 5], [5, 0, 5, 0, 0, 0, 0, 5, 5, 0], [0, 5, 0, 0, 5, 5, 0, 5, 5, 5], [0, 5, 0, 5, 5, 5, 5, 5, 5, 5], [5, 5, 0, 0, 5, 5, 5, 0, 0, 0], [5, 0, 0, 0, 0, 0, 5, 5, 5, 0], [0, 0, 0, 0, 5, 5, 0, 0, 5, 0], [0, 5, 0, 5, 5, 5, 5, 5, 5, 0]] -> [[2, 0, 0, 0, 2, 2, 2, 0, 2, 2], [2, 2, 2, 0, 2, 0, 0, 2, 2, 0], [0, 2, 0, 0, 0, 0, 2, 2, 0, 2], [2, 0, 2, 0, 0, 0, 0, 2, 2, 0], [0, 2, 0, 0, 2, 2, 0, 2, 2, 2], [0, 2, 0, 2, 2, 2, 2, 2, 2, 2], [2, 2, 0, 0, 2, 2, 2, 0, 0, 0], [2, 0, 0, 0, 0, 0, 2, 2, 2, 0], [0, 0, 0, 0, 2, 2, 0, 0, 2, 0], [0, 2, 0, 2, 2, 2, 2, 2, 2, 0]]\nExample input-output arrays:\n[[0, 0, 0, 4, 0, 0, 0, 0, 0, 4], [0, 4, 0, 0, 4, 0, 0, 0, 4, 0], [4, 4, 0, 4, 0, 4, 4, 4, 4, 0], [4, 0, 0, 0, 4, 4, 0, 4, 0, 4], [4, 0, 0, 0, 0, 0, 4, 0, 0, 4], [0, 4, 4, 4, 0, 0, 0, 0, 4, 0], [0, 4, 4, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 4, 0, 4, 4], [0, 4, 4, 0, 4, 0, 4, 4, 0, 4], [4, 4, 0, 0, 4, 0, 4, 4, 4, 4], [5, 0, 0, 5, 5, 0, 0, 0, 0, 5], [0, 0, 5, 0, 5, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 5, 0, 5, 0, 0], [0, 0, 0, 5, 5, 5, 0, 5, 0, 5], [0, 0, 0, 0, 0, 5, 5, 0, 0, 5], [5, 5, 5, 0, 0, 5, 5, 0, 0, 5], [0, 5, 5, 5, 0, 0, 5, 5, 0, 5], [0, 5, 5, 0, 0, 0, 0, 5, 5, 5], [5, 5, 0, 5, 5, 5, 0, 5, 0, 0], [0, 5, 5, 0, 5, 5, 0, 5, 5, 0]] -> [[0, 0, 0, 2, 0, 0, 0, 0, 0, 2], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 2, 0, 2, 0, 0], [0, 0, 0, 0, 2, 2, 0, 2, 0, 2], [0, 0, 0, 0, 0, 0, 2, 0, 0, 2], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 2], [0, 2, 0, 0, 2, 0, 0, 2, 0, 0], [0, 2, 0, 0, 2, 0, 0, 2, 2, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 0, 0, 6, 0, 0, 0, 0, 0, 6], [0, 6, 0, 0, 6, 0, 0, 0, 6, 0], [6, 6, 0, 6, 0, 6, 6, 6, 6, 0], [6, 0, 0, 0, 6, 6, 0, 6, 0, 6], [6, 0, 0, 0, 0, 0, 6, 0, 0, 6], [0, 6, 6, 6, 0, 0, 0, 0, 6, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0, 6, 6], [0, 6, 6, 0, 6, 0, 6, 6, 0, 6], [6, 6, 0, 0, 6, 0, 6, 6, 6, 6], [5, 0, 0, 5, 5, 0, 0, 0, 0, 5], [0, 0, 5, 0, 5, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 5, 0, 5, 0, 0], [0, 0, 0, 5, 5, 5, 0, 5, 0, 5], [0, 0, 0, 0, 0, 5, 5, 0, 0, 5], [5, 5, 5, 0, 0, 5, 5, 0, 0, 5], [0, 5, 5, 5, 0, 0, 5, 5, 0, 5], [0, 5, 5, 0, 0, 0, 0, 5, 5, 5], [5, 5, 0, 5, 5, 5, 0, 5, 0, 0], [0, 5, 5, 0, 5, 5, 0, 5, 5, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0
+                        ],
+                        [
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0
+                        ],
+                        [
+                            6,
+                            0,
+                            0,
+                            0,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6
+                        ],
+                        [
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0
+                        ],
+                        [
+                            0,
+                            6,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            5,
+                            0,
+                            0,
+                            5,
+                            5,
+                            0,
+                            0,
+                            0,
+                            0,
+                            5
+                        ],
+                        [
+                            0,
+                            0,
+                            5,
+                            0,
+                            5,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            5,
+                            0,
+                            0,
+                            0,
+                            0,
+                            5,
+                            0,
+                            5,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            5,
+                            5,
+                            5,
+                            0,
+                            5,
+                            0,
+                            5
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            5,
+                            5,
+                            0,
+                            0,
+                            5
+                        ],
+                        [
+                            5,
+                            5,
+                            5,
+                            0,
+                            0,
+                            5,
+                            5,
+                            0,
+                            0,
+                            5
+                        ],
+                        [
+                            0,
+                            5,
+                            5,
+                            5,
+                            0,
+                            0,
+                            5,
+                            5,
+                            0,
+                            5
+                        ],
+                        [
+                            0,
+                            5,
+                            5,
+                            0,
+                            0,
+                            0,
+                            0,
+                            5,
+                            5,
+                            5
+                        ],
+                        [
+                            5,
+                            5,
+                            0,
+                            5,
+                            5,
+                            5,
+                            0,
+                            5,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            5,
+                            5,
+                            0,
+                            5,
+                            5,
+                            0,
+                            5,
+                            5,
+                            0
+                        ]
+                    ],
+                    "output": [
+                        [
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            2
+                        ],
+                        [
+                            0,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2
+                        ],
+                        [
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0
+                        ]
+                    ]
+                }
+            }
+        }
+    },
+    "SCMdky5!and!15x15": {
+        "L1": {
+            "Replicate 0": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[3, 3, 0, 0, 3, 0, 0, 3, 3, 0, 0, 0, 0, 3, 0], [0, 3, 3, 0, 3, 0, 0, 0, 3, 0, 3, 0, 0, 3, 0], [0, 3, 3, 3, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 0], [0, 3, 3, 0, 0, 3, 0, 0, 3, 3, 3, 3, 3, 3, 0], [3, 3, 0, 0, 3, 3, 0, 3, 3, 3, 0, 3, 0, 3, 3], [3, 3, 3, 0, 3, 0, 0, 0, 3, 3, 0, 0, 3, 3, 0], [3, 0, 3, 0, 3, 3, 0, 0, 3, 0, 3, 3, 3, 0, 3], [0, 0, 0, 0, 0, 3, 0, 0, 3, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 0, 0, 3, 3, 0, 3, 0, 3, 0, 0, 0], [3, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 3, 0, 3], [3, 3, 3, 0, 0, 0, 0, 3, 0, 3, 0, 3, 3, 0, 0], [3, 0, 3, 3, 3, 3, 3, 0, 3, 3, 0, 3, 0, 0, 3], [0, 0, 3, 0, 3, 3, 0, 3, 3, 3, 0, 3, 0, 3, 3], [0, 0, 3, 3, 0, 0, 3, 0, 3, 3, 0, 3, 0, 0, 3], [3, 3, 3, 3, 3, 3, 0, 3, 0, 0, 3, 0, 3, 0, 3], [0, 6, 0, 6, 6, 0, 0, 0, 6, 0, 6, 6, 6, 6, 6], [0, 6, 0, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 0], [6, 0, 6, 0, 0, 6, 6, 6, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 6, 0, 0, 6, 6, 6, 0, 0, 0, 0], [0, 6, 6, 6, 0, 6, 6, 0, 6, 6, 0, 0, 6, 0, 0], [0, 0, 6, 0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 6, 0], [0, 0, 6, 0, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 6], [6, 0, 0, 6, 6, 6, 6, 6, 0, 6, 0, 6, 6, 0, 0], [0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [6, 6, 6, 6, 0, 6, 0, 0, 6, 6, 6, 0, 0, 0, 6], [0, 0, 0, 6, 6, 0, 6, 0, 0, 6, 0, 0, 0, 0, 6], [0, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0], [0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 6, 6, 0, 0, 6], [6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6], [6, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 0, 6, 6, 0]] -> [[0, 9, 0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 0, 9, 0], [0, 9, 0, 0, 9, 0, 0, 0, 0, 0, 9, 0, 0, 9, 0], [0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 0, 0, 9, 0, 0], [0, 0, 0, 0, 0, 9, 0, 0, 9, 9, 9, 0, 0, 0, 0], [0, 9, 0, 0, 0, 9, 0, 0, 9, 9, 0, 0, 0, 0, 0], [0, 0, 9, 0, 0, 0, 0, 0, 9, 9, 0, 0, 9, 9, 0], [0, 0, 9, 0, 0, 9, 0, 0, 0, 0, 0, 9, 0, 0, 9], [0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 9, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0], [9, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0], [0, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 0, 0, 0, 0], [0, 0, 0, 0, 9, 0, 0, 0, 9, 9, 0, 9, 0, 0, 9], [0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 0, 9, 0, 0, 9], [9, 9, 0, 9, 9, 9, 0, 9, 0, 0, 0, 0, 9, 0, 0]]\nExample input-output arrays:\n[[3, 0, 3, 0, 0, 0, 3, 3, 3, 3, 0, 0, 3, 0, 3], [0, 3, 3, 0, 3, 0, 3, 0, 0, 3, 3, 3, 0, 0, 0], [3, 3, 0, 3, 0, 0, 3, 3, 3, 0, 3, 3, 0, 3, 0], [0, 3, 3, 3, 0, 0, 3, 0, 0, 0, 0, 0, 3, 3, 3], [3, 3, 0, 3, 3, 0, 0, 0, 3, 0, 3, 0, 0, 3, 3], [3, 0, 3, 0, 0, 3, 3, 0, 3, 3, 3, 3, 3, 0, 0], [0, 3, 3, 0, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 3], [0, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0, 3, 0, 0, 0], [3, 0, 0, 0, 0, 0, 3, 0, 0, 3, 3, 0, 3, 3, 3], [0, 3, 0, 3, 3, 3, 3, 3, 3, 3, 0, 3, 0, 0, 3], [3, 3, 0, 0, 3, 0, 3, 3, 3, 0, 3, 0, 3, 3, 3], [0, 0, 3, 3, 3, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0], [3, 3, 0, 0, 0, 3, 0, 3, 0, 3, 0, 0, 0, 0, 3], [0, 0, 3, 3, 0, 3, 3, 0, 3, 0, 3, 3, 3, 0, 0], [3, 3, 3, 0, 0, 0, 3, 0, 3, 3, 3, 3, 3, 0, 3], [6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0], [6, 0, 0, 0, 0, 6, 6, 0, 6, 6, 6, 0, 6, 0, 6], [6, 0, 0, 6, 6, 0, 0, 6, 6, 6, 0, 0, 6, 6, 0], [0, 0, 0, 6, 0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 6], [6, 6, 0, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 6, 6], [6, 6, 0, 6, 0, 6, 0, 0, 6, 6, 0, 0, 0, 0, 0], [0, 6, 6, 6, 0, 0, 0, 0, 6, 0, 6, 6, 0, 0, 6], [6, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 0, 6, 6, 6], [6, 6, 6, 0, 6, 0, 0, 0, 6, 6, 0, 6, 0, 6, 6], [6, 0, 6, 6, 0, 6, 6, 0, 0, 0, 0, 6, 6, 6, 0], [6, 6, 0, 6, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6, 0], [6, 0, 6, 6, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 0], [6, 0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 0, 6], [0, 0, 6, 0, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0, 0], [6, 6, 0, 0, 0, 0, 6, 0, 0, 6, 6, 6, 0, 0, 0]] -> [[9, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 9, 0, 0, 9, 9, 0, 0, 0, 0], [9, 0, 0, 9, 0, 0, 0, 9, 9, 0, 0, 0, 0, 9, 0], [0, 0, 0, 9, 0, 0, 9, 0, 0, 0, 0, 0, 9, 0, 9], [9, 9, 0, 0, 9, 0, 0, 0, 9, 0, 9, 0, 0, 9, 9], [9, 0, 0, 0, 0, 9, 0, 0, 9, 9, 0, 0, 0, 0, 0], [0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9], [0, 0, 0, 0, 9, 9, 0, 0, 9, 9, 0, 0, 0, 0, 0], [9, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 9, 9], [0, 0, 0, 9, 0, 9, 9, 0, 0, 0, 0, 9, 0, 0, 0], [9, 9, 0, 0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 9, 0], [0, 0, 9, 9, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0], [9, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 9], [0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0], [9, 9, 0, 0, 0, 0, 9, 0, 0, 9, 9, 9, 0, 0, 0]]\nExample input-output arrays:\n[[3, 3, 0, 0, 3, 0, 0, 3, 3, 0, 0, 0, 0, 3, 0], [0, 3, 3, 0, 3, 0, 0, 0, 3, 0, 3, 0, 0, 3, 0], [0, 3, 3, 3, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 0], [0, 3, 3, 0, 0, 3, 0, 0, 3, 3, 3, 3, 3, 3, 0], [3, 3, 0, 0, 3, 3, 0, 3, 3, 3, 0, 3, 0, 3, 3], [3, 3, 3, 0, 3, 0, 0, 0, 3, 3, 0, 0, 3, 3, 0], [3, 0, 3, 0, 3, 3, 0, 0, 3, 0, 3, 3, 3, 0, 3], [0, 0, 0, 0, 0, 3, 0, 0, 3, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 0, 0, 3, 3, 0, 3, 0, 3, 0, 0, 0], [3, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 3, 0, 3], [3, 3, 3, 0, 0, 0, 0, 3, 0, 3, 0, 3, 3, 0, 0], [3, 0, 3, 3, 3, 3, 3, 0, 3, 3, 0, 3, 0, 0, 3], [0, 0, 3, 0, 3, 3, 0, 3, 3, 3, 0, 3, 0, 3, 3], [0, 0, 3, 3, 0, 0, 3, 0, 3, 3, 0, 3, 0, 0, 3], [3, 3, 3, 3, 3, 3, 0, 3, 0, 0, 3, 0, 3, 0, 3], [0, 6, 0, 6, 6, 0, 0, 0, 6, 0, 6, 6, 6, 6, 6], [0, 6, 0, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 0], [6, 0, 6, 0, 0, 6, 6, 6, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 6, 0, 0, 6, 6, 6, 0, 0, 0, 0], [0, 6, 6, 6, 0, 6, 6, 0, 6, 6, 0, 0, 6, 0, 0], [0, 0, 6, 0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 6, 0], [0, 0, 6, 0, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 6], [6, 0, 0, 6, 6, 6, 6, 6, 0, 6, 0, 6, 6, 0, 0], [0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [6, 6, 6, 6, 0, 6, 0, 0, 6, 6, 6, 0, 0, 0, 6], [0, 0, 0, 6, 6, 0, 6, 0, 0, 6, 0, 0, 0, 0, 6], [0, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0], [0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 6, 6, 0, 0, 6], [6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6], [6, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 0, 6, 6, 0]] -> [[0, 9, 0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 0, 9, 0], [0, 9, 0, 0, 9, 0, 0, 0, 0, 0, 9, 0, 0, 9, 0], [0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 0, 0, 9, 0, 0], [0, 0, 0, 0, 0, 9, 0, 0, 9, 9, 9, 0, 0, 0, 0], [0, 9, 0, 0, 0, 9, 0, 0, 9, 9, 0, 0, 0, 0, 0], [0, 0, 9, 0, 0, 0, 0, 0, 9, 9, 0, 0, 9, 9, 0], [0, 0, 9, 0, 0, 9, 0, 0, 0, 0, 0, 9, 0, 0, 9], [0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 9, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0], [9, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0], [0, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 0, 0, 0, 0], [0, 0, 0, 0, 9, 0, 0, 0, 9, 9, 0, 9, 0, 0, 9], [0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 0, 9, 0, 0, 9], [9, 9, 0, 9, 9, 9, 0, 9, 0, 0, 0, 0, 9, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0], [0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0], [0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0], [0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0], [1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1], [1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0], [1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1], [0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0], [1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1], [1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0], [1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1], [0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1], [0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1], [1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1], [0, 6, 0, 6, 6, 0, 0, 0, 6, 0, 6, 6, 6, 6, 6], [0, 6, 0, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 0], [6, 0, 6, 0, 0, 6, 6, 6, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 6, 0, 0, 6, 6, 6, 0, 0, 0, 0], [0, 6, 6, 6, 0, 6, 6, 0, 6, 6, 0, 0, 6, 0, 0], [0, 0, 6, 0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 6, 0], [0, 0, 6, 0, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 6], [6, 0, 0, 6, 6, 6, 6, 6, 0, 6, 0, 6, 6, 0, 0], [0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [6, 6, 6, 6, 0, 6, 0, 0, 6, 6, 6, 0, 0, 0, 6], [0, 0, 0, 6, 6, 0, 6, 0, 0, 6, 0, 0, 0, 0, 6], [0, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0], [0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 6, 6, 0, 0, 6], [6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6], [6, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 0, 6, 6, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
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+                            1,
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+                            0,
+                            1,
+                            0,
+                            0,
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+                        ],
+                        [
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+                            1,
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+                            1,
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+                            0,
+                            1,
+                            0
+                        ],
+                        [
+                            0,
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+                            1,
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+                            1,
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+                            1,
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+                        ],
+                        [
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+                        [
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+                        ],
+                        [
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+                            0,
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+                        ],
+                        [
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+                        ],
+                        [
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+                        ],
+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        ],
+                        [
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+                        [
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+                        [
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+                        [
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+                            6,
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+                        [
+                            0,
+                            0,
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+                            0,
+                            0,
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+                            0,
+                            0,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6,
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+                        ],
+                        [
+                            0,
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+                            6,
+                            0,
+                            0,
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+                            6,
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+                        [
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+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
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+                        [
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+                        ],
+                        [
+                            6,
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+                            6,
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+                        ],
+                        [
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+                            0,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6
+                        ],
+                        [
+                            0,
+                            0,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6
+                        ],
+                        [
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0,
+                            6,
+                            6,
+                            0
+                        ]
+                    ],
+                    "output": [
+                        [
+                            0,
+                            9,
+                            0,
+                            0,
+                            9,
+                            0,
+                            0,
+                            0,
+                            9,
+                            0,
+                            0,
+                            0,
+                            0,
+                            9,
+                            0
+                        ],
+                        [
+                            0,
+                            9,
+                            0,
+                            0,
+                            9,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            9,
+                            0,
+                            0,
+                            9,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            9,
+                            0,
+                            0,
+                            0,
+                            9,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            9,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            9,
+                            0,
+                            0,
+                            9,
+                            9,
+                            9,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            9,
+                            0,
+                            0,
+                            0,
+                            9,
+                            0,
+                            0,
+                            9,
+                            9,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            9,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            9,
+                            9,
+                            0,
+                            0,
+                            9,
+                            9,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            9,
+                            0,
+                            0,
+                            9,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            9,
+                            0,
+                            0,
+                            9
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            9,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            9,
+                            0,
+                            0,
+                            0,
+                            9,
+                            9,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            9,
+                            0,
+                            0,
+                            0,
+                            0,
+                            9,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            9
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            9,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            9,
+                            9,
+                            0,
+                            9,
+                            9,
+                            0,
+                            9,
+                            9,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            9,
+                            0,
+                            0,
+                            0,
+                            9,
+                            9,
+                            0,
+                            9,
+                            0,
+                            0,
+                            9
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            9,
+                            9,
+                            0,
+                            9,
+                            0,
+                            0,
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+                        ],
+                        [
+                            9,
+                            9,
+                            0,
+                            9,
+                            9,
+                            9,
+                            0,
+                            9,
+                            0,
+                            0,
+                            0,
+                            0,
+                            9,
+                            0,
+                            0
+                        ]
+                    ]
+                }
+            },
+            "Replicate 1": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[3, 3, 0, 0, 3, 0, 0, 3, 3, 0, 0, 0, 0, 3, 0], [0, 3, 3, 0, 3, 0, 0, 0, 3, 0, 3, 0, 0, 3, 0], [0, 3, 3, 3, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 0], [0, 3, 3, 0, 0, 3, 0, 0, 3, 3, 3, 3, 3, 3, 0], [3, 3, 0, 0, 3, 3, 0, 3, 3, 3, 0, 3, 0, 3, 3], [3, 3, 3, 0, 3, 0, 0, 0, 3, 3, 0, 0, 3, 3, 0], [3, 0, 3, 0, 3, 3, 0, 0, 3, 0, 3, 3, 3, 0, 3], [0, 0, 0, 0, 0, 3, 0, 0, 3, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 0, 0, 3, 3, 0, 3, 0, 3, 0, 0, 0], [3, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 3, 0, 3], [3, 3, 3, 0, 0, 0, 0, 3, 0, 3, 0, 3, 3, 0, 0], [3, 0, 3, 3, 3, 3, 3, 0, 3, 3, 0, 3, 0, 0, 3], [0, 0, 3, 0, 3, 3, 0, 3, 3, 3, 0, 3, 0, 3, 3], [0, 0, 3, 3, 0, 0, 3, 0, 3, 3, 0, 3, 0, 0, 3], [3, 3, 3, 3, 3, 3, 0, 3, 0, 0, 3, 0, 3, 0, 3], [0, 6, 0, 6, 6, 0, 0, 0, 6, 0, 6, 6, 6, 6, 6], [0, 6, 0, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 0], [6, 0, 6, 0, 0, 6, 6, 6, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 6, 0, 0, 6, 6, 6, 0, 0, 0, 0], [0, 6, 6, 6, 0, 6, 6, 0, 6, 6, 0, 0, 6, 0, 0], [0, 0, 6, 0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 6, 0], [0, 0, 6, 0, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 6], [6, 0, 0, 6, 6, 6, 6, 6, 0, 6, 0, 6, 6, 0, 0], [0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [6, 6, 6, 6, 0, 6, 0, 0, 6, 6, 6, 0, 0, 0, 6], [0, 0, 0, 6, 6, 0, 6, 0, 0, 6, 0, 0, 0, 0, 6], [0, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0], [0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 6, 6, 0, 0, 6], [6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6], [6, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 0, 6, 6, 0]] -> [[0, 9, 0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 0, 9, 0], [0, 9, 0, 0, 9, 0, 0, 0, 0, 0, 9, 0, 0, 9, 0], [0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 0, 0, 9, 0, 0], [0, 0, 0, 0, 0, 9, 0, 0, 9, 9, 9, 0, 0, 0, 0], [0, 9, 0, 0, 0, 9, 0, 0, 9, 9, 0, 0, 0, 0, 0], [0, 0, 9, 0, 0, 0, 0, 0, 9, 9, 0, 0, 9, 9, 0], [0, 0, 9, 0, 0, 9, 0, 0, 0, 0, 0, 9, 0, 0, 9], [0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 9, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0], [9, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0], [0, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 0, 0, 0, 0], [0, 0, 0, 0, 9, 0, 0, 0, 9, 9, 0, 9, 0, 0, 9], [0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 0, 9, 0, 0, 9], [9, 9, 0, 9, 9, 9, 0, 9, 0, 0, 0, 0, 9, 0, 0]]\nExample input-output arrays:\n[[3, 0, 3, 0, 0, 0, 3, 3, 3, 3, 0, 0, 3, 0, 3], [0, 3, 3, 0, 3, 0, 3, 0, 0, 3, 3, 3, 0, 0, 0], [3, 3, 0, 3, 0, 0, 3, 3, 3, 0, 3, 3, 0, 3, 0], [0, 3, 3, 3, 0, 0, 3, 0, 0, 0, 0, 0, 3, 3, 3], [3, 3, 0, 3, 3, 0, 0, 0, 3, 0, 3, 0, 0, 3, 3], [3, 0, 3, 0, 0, 3, 3, 0, 3, 3, 3, 3, 3, 0, 0], [0, 3, 3, 0, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 3], [0, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0, 3, 0, 0, 0], [3, 0, 0, 0, 0, 0, 3, 0, 0, 3, 3, 0, 3, 3, 3], [0, 3, 0, 3, 3, 3, 3, 3, 3, 3, 0, 3, 0, 0, 3], [3, 3, 0, 0, 3, 0, 3, 3, 3, 0, 3, 0, 3, 3, 3], [0, 0, 3, 3, 3, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0], [3, 3, 0, 0, 0, 3, 0, 3, 0, 3, 0, 0, 0, 0, 3], [0, 0, 3, 3, 0, 3, 3, 0, 3, 0, 3, 3, 3, 0, 0], [3, 3, 3, 0, 0, 0, 3, 0, 3, 3, 3, 3, 3, 0, 3], [6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0], [6, 0, 0, 0, 0, 6, 6, 0, 6, 6, 6, 0, 6, 0, 6], [6, 0, 0, 6, 6, 0, 0, 6, 6, 6, 0, 0, 6, 6, 0], [0, 0, 0, 6, 0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 6], [6, 6, 0, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 6, 6], [6, 6, 0, 6, 0, 6, 0, 0, 6, 6, 0, 0, 0, 0, 0], [0, 6, 6, 6, 0, 0, 0, 0, 6, 0, 6, 6, 0, 0, 6], [6, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 0, 6, 6, 6], [6, 6, 6, 0, 6, 0, 0, 0, 6, 6, 0, 6, 0, 6, 6], [6, 0, 6, 6, 0, 6, 6, 0, 0, 0, 0, 6, 6, 6, 0], [6, 6, 0, 6, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6, 0], [6, 0, 6, 6, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 0], [6, 0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 0, 6], [0, 0, 6, 0, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0, 0], [6, 6, 0, 0, 0, 0, 6, 0, 0, 6, 6, 6, 0, 0, 0]] -> [[9, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 9, 0, 0, 9, 9, 0, 0, 0, 0], [9, 0, 0, 9, 0, 0, 0, 9, 9, 0, 0, 0, 0, 9, 0], [0, 0, 0, 9, 0, 0, 9, 0, 0, 0, 0, 0, 9, 0, 9], [9, 9, 0, 0, 9, 0, 0, 0, 9, 0, 9, 0, 0, 9, 9], [9, 0, 0, 0, 0, 9, 0, 0, 9, 9, 0, 0, 0, 0, 0], [0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9], [0, 0, 0, 0, 9, 9, 0, 0, 9, 9, 0, 0, 0, 0, 0], [9, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 9, 9], [0, 0, 0, 9, 0, 9, 9, 0, 0, 0, 0, 9, 0, 0, 0], [9, 9, 0, 0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 9, 0], [0, 0, 9, 9, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0], [9, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 9], [0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0], [9, 9, 0, 0, 0, 0, 9, 0, 0, 9, 9, 9, 0, 0, 0]]\nExample input-output arrays:\n[[3, 3, 3, 0, 0, 3, 3, 0, 0, 0, 0, 3, 3, 3, 0], [0, 0, 0, 0, 0, 0, 3, 0, 0, 3, 3, 3, 0, 0, 0], [0, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 3, 0, 0], [3, 0, 3, 0, 3, 0, 0, 3, 0, 3, 3, 0, 3, 3, 3], [3, 0, 0, 3, 0, 3, 0, 3, 3, 3, 3, 0, 3, 3, 0], [3, 3, 3, 0, 3, 0, 3, 3, 3, 0, 3, 0, 0, 3, 0], [3, 0, 3, 0, 0, 3, 0, 0, 0, 0, 3, 0, 3, 3, 3], [3, 0, 3, 0, 0, 3, 0, 3, 0, 0, 3, 0, 3, 0, 3], [0, 3, 0, 0, 0, 3, 3, 3, 3, 0, 3, 3, 0, 3, 0], [0, 0, 3, 0, 3, 3, 3, 0, 0, 3, 0, 0, 3, 0, 3], [3, 3, 0, 0, 3, 0, 0, 3, 3, 0, 3, 0, 3, 3, 3], [3, 3, 3, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 3], [3, 0, 0, 0, 3, 0, 0, 3, 3, 3, 3, 3, 0, 0, 3], [3, 3, 0, 0, 0, 0, 3, 3, 3, 0, 3, 0, 0, 3, 0], [0, 0, 0, 3, 3, 0, 0, 3, 3, 3, 0, 0, 3, 0, 0], [0, 6, 6, 0, 6, 0, 0, 6, 6, 6, 6, 0, 6, 6, 6], [0, 0, 0, 6, 0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6], [0, 6, 0, 6, 0, 6, 0, 0, 6, 6, 6, 6, 0, 6, 0], [0, 0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 0, 6, 0, 6], [0, 0, 6, 6, 6, 6, 6, 0, 6, 6, 6, 6, 0, 6, 6], [6, 6, 0, 6, 6, 6, 6, 0, 6, 6, 0, 0, 6, 6, 6], [6, 0, 0, 6, 0, 0, 6, 0, 6, 6, 6, 0, 6, 6, 6], [0, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0], [6, 6, 6, 0, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0], [0, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 6], [0, 0, 0, 0, 6, 6, 0, 6, 0, 6, 0, 0, 0, 6, 0], [6, 0, 0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 6, 0], [6, 0, 6, 0, 0, 6, 6, 0, 0, 0, 6, 0, 6, 0, 0], [6, 6, 0, 6, 0, 6, 0, 6, 0, 6, 6, 0, 0, 6, 6], [0, 6, 0, 0, 6, 0, 0, 6, 6, 0, 6, 0, 6, 0, 0]] -> [[0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 0, 0, 0], [0, 9, 0, 0, 0, 9, 0, 0, 9, 9, 0, 0, 0, 0, 0], [0, 0, 9, 0, 9, 0, 0, 9, 0, 9, 9, 0, 9, 0, 9], [0, 0, 0, 9, 0, 9, 0, 0, 9, 9, 9, 0, 0, 9, 0], [9, 9, 0, 0, 9, 0, 9, 0, 9, 0, 0, 0, 0, 9, 0], [9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 9, 9, 9], [0, 0, 9, 0, 0, 9, 0, 9, 0, 0, 9, 0, 0, 0, 0], [0, 9, 0, 0, 0, 0, 9, 9, 9, 0, 9, 9, 0, 0, 0], [0, 0, 0, 0, 9, 9, 0, 0, 0, 9, 0, 0, 9, 0, 9], [0, 0, 0, 0, 9, 0, 0, 9, 0, 0, 0, 0, 0, 9, 0], [9, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0], [9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0], [9, 9, 0, 0, 0, 0, 0, 9, 0, 0, 9, 0, 0, 9, 0], [0, 0, 0, 0, 9, 0, 0, 9, 9, 0, 0, 0, 9, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[3, 3, 3, 0, 0, 3, 3, 0, 0, 0, 0, 3, 3, 3, 0], [0, 0, 0, 0, 0, 0, 3, 0, 0, 3, 3, 3, 0, 0, 0], [0, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 3, 0, 0], [3, 0, 3, 0, 3, 0, 0, 3, 0, 3, 3, 0, 3, 3, 3], [3, 0, 0, 3, 0, 3, 0, 3, 3, 3, 3, 0, 3, 3, 0], [3, 3, 3, 0, 3, 0, 3, 3, 3, 0, 3, 0, 0, 3, 0], [3, 0, 3, 0, 0, 3, 0, 0, 0, 0, 3, 0, 3, 3, 3], [3, 0, 3, 0, 0, 3, 0, 3, 0, 0, 3, 0, 3, 0, 3], [0, 3, 0, 0, 0, 3, 3, 3, 3, 0, 3, 3, 0, 3, 0], [0, 0, 3, 0, 3, 3, 3, 0, 0, 3, 0, 0, 3, 0, 3], [3, 3, 0, 0, 3, 0, 0, 3, 3, 0, 3, 0, 3, 3, 3], [3, 3, 3, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 3], [3, 0, 0, 0, 3, 0, 0, 3, 3, 3, 3, 3, 0, 0, 3], [3, 3, 0, 0, 0, 0, 3, 3, 3, 0, 3, 0, 0, 3, 0], [0, 0, 0, 3, 3, 0, 0, 3, 3, 3, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0
+                        ],
+                        [
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0
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+            "Replicate 2": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[3, 3, 0, 0, 3, 0, 0, 3, 3, 0, 0, 0, 0, 3, 0], [0, 3, 3, 0, 3, 0, 0, 0, 3, 0, 3, 0, 0, 3, 0], [0, 3, 3, 3, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 0], [0, 3, 3, 0, 0, 3, 0, 0, 3, 3, 3, 3, 3, 3, 0], [3, 3, 0, 0, 3, 3, 0, 3, 3, 3, 0, 3, 0, 3, 3], [3, 3, 3, 0, 3, 0, 0, 0, 3, 3, 0, 0, 3, 3, 0], [3, 0, 3, 0, 3, 3, 0, 0, 3, 0, 3, 3, 3, 0, 3], [0, 0, 0, 0, 0, 3, 0, 0, 3, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 0, 0, 3, 3, 0, 3, 0, 3, 0, 0, 0], [3, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 3, 0, 3], [3, 3, 3, 0, 0, 0, 0, 3, 0, 3, 0, 3, 3, 0, 0], [3, 0, 3, 3, 3, 3, 3, 0, 3, 3, 0, 3, 0, 0, 3], [0, 0, 3, 0, 3, 3, 0, 3, 3, 3, 0, 3, 0, 3, 3], [0, 0, 3, 3, 0, 0, 3, 0, 3, 3, 0, 3, 0, 0, 3], [3, 3, 3, 3, 3, 3, 0, 3, 0, 0, 3, 0, 3, 0, 3], [0, 6, 0, 6, 6, 0, 0, 0, 6, 0, 6, 6, 6, 6, 6], [0, 6, 0, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 0], [6, 0, 6, 0, 0, 6, 6, 6, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 6, 0, 0, 6, 6, 6, 0, 0, 0, 0], [0, 6, 6, 6, 0, 6, 6, 0, 6, 6, 0, 0, 6, 0, 0], [0, 0, 6, 0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 6, 0], [0, 0, 6, 0, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 6], [6, 0, 0, 6, 6, 6, 6, 6, 0, 6, 0, 6, 6, 0, 0], [0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [6, 6, 6, 6, 0, 6, 0, 0, 6, 6, 6, 0, 0, 0, 6], [0, 0, 0, 6, 6, 0, 6, 0, 0, 6, 0, 0, 0, 0, 6], [0, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0], [0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 6, 6, 0, 0, 6], [6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6], [6, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 0, 6, 6, 0]] -> [[0, 9, 0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 0, 9, 0], [0, 9, 0, 0, 9, 0, 0, 0, 0, 0, 9, 0, 0, 9, 0], [0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 0, 0, 9, 0, 0], [0, 0, 0, 0, 0, 9, 0, 0, 9, 9, 9, 0, 0, 0, 0], [0, 9, 0, 0, 0, 9, 0, 0, 9, 9, 0, 0, 0, 0, 0], [0, 0, 9, 0, 0, 0, 0, 0, 9, 9, 0, 0, 9, 9, 0], [0, 0, 9, 0, 0, 9, 0, 0, 0, 0, 0, 9, 0, 0, 9], [0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 9, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0], [9, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0], [0, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 0, 0, 0, 0], [0, 0, 0, 0, 9, 0, 0, 0, 9, 9, 0, 9, 0, 0, 9], [0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 0, 9, 0, 0, 9], [9, 9, 0, 9, 9, 9, 0, 9, 0, 0, 0, 0, 9, 0, 0]]\nExample input-output arrays:\n[[3, 3, 0, 0, 0, 3, 3, 0, 3, 3, 0, 3, 0, 0, 0], [3, 0, 3, 3, 0, 0, 0, 3, 0, 3, 0, 3, 0, 3, 3], [0, 3, 0, 3, 0, 3, 0, 3, 3, 0, 3, 0, 3, 3, 0], [0, 0, 0, 0, 0, 3, 0, 0, 3, 3, 0, 0, 3, 0, 0], [3, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 0, 0, 3, 0], [0, 3, 3, 0, 3, 3, 0, 0, 0, 0, 0, 0, 3, 3, 3], [0, 0, 0, 3, 3, 3, 3, 3, 0, 3, 3, 0, 0, 0, 0], [0, 3, 0, 0, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 3, 0, 0, 3, 3, 3, 3, 0, 3], [0, 3, 0, 3, 3, 3, 3, 0, 0, 0, 0, 0, 3, 3, 3], [0, 3, 0, 3, 0, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0], [3, 3, 3, 0, 0, 0, 3, 0, 0, 0, 0, 3, 0, 0, 0], [3, 0, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3], [3, 3, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3], [0, 3, 0, 3, 0, 0, 0, 0, 0, 3, 3, 3, 0, 0, 3], [6, 6, 6, 0, 0, 0, 6, 6, 0, 0, 6, 0, 6, 6, 6], [0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 0, 0, 6, 0, 0], [6, 6, 6, 0, 0, 6, 0, 0, 6, 0, 0, 0, 6, 0, 6], [6, 0, 6, 6, 6, 0, 6, 6, 6, 6, 0, 6, 0, 6, 6], [0, 0, 6, 0, 0, 0, 0, 6, 0, 0, 6, 6, 6, 6, 0], [0, 6, 6, 0, 0, 6, 0, 0, 0, 6, 6, 0, 0, 6, 6], [0, 6, 0, 0, 6, 0, 6, 0, 6, 6, 0, 0, 0, 6, 6], [6, 6, 6, 0, 6, 6, 6, 0, 6, 0, 0, 0, 0, 6, 0], [0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 6, 6, 0, 0, 6], [0, 6, 6, 0, 6, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 0, 0, 6, 6, 0, 6, 0, 0, 6, 6, 6], [0, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 0, 0, 0, 0], [0, 0, 0, 0, 6, 6, 6, 0, 6, 6, 0, 6, 6, 6, 0], [0, 0, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 0], [0, 0, 6, 6, 6, 6, 6, 0, 0, 6, 0, 0, 6, 0, 0]] -> [[9, 9, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 9, 0, 0, 0, 9, 0, 0, 9, 0, 0, 0, 9, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 9, 0, 0, 9, 0], [0, 9, 9, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 9, 9], [0, 0, 0, 0, 9, 0, 9, 0, 0, 9, 0, 0, 0, 0, 0], [0, 9, 0, 0, 9, 9, 9, 0, 9, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 9, 9, 0, 0, 9], [0, 9, 0, 0, 9, 9, 9, 0, 0, 0, 0, 0, 9, 9, 9], [0, 9, 0, 9, 0, 0, 0, 0, 0, 9, 0, 0, 9, 9, 0], [0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 9, 9, 9, 0, 9, 9, 0, 9, 9, 0, 0], [0, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 0, 0, 0], [0, 0, 0, 9, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[3, 3, 3, 0, 0, 3, 3, 0, 0, 0, 0, 3, 3, 3, 0], [0, 0, 0, 0, 0, 0, 3, 0, 0, 3, 3, 3, 0, 0, 0], [0, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 3, 0, 0], [3, 0, 3, 0, 3, 0, 0, 3, 0, 3, 3, 0, 3, 3, 3], [3, 0, 0, 3, 0, 3, 0, 3, 3, 3, 3, 0, 3, 3, 0], [3, 3, 3, 0, 3, 0, 3, 3, 3, 0, 3, 0, 0, 3, 0], [3, 0, 3, 0, 0, 3, 0, 0, 0, 0, 3, 0, 3, 3, 3], [3, 0, 3, 0, 0, 3, 0, 3, 0, 0, 3, 0, 3, 0, 3], [0, 3, 0, 0, 0, 3, 3, 3, 3, 0, 3, 3, 0, 3, 0], [0, 0, 3, 0, 3, 3, 3, 0, 0, 3, 0, 0, 3, 0, 3], [3, 3, 0, 0, 3, 0, 0, 3, 3, 0, 3, 0, 3, 3, 3], [3, 3, 3, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 3], [3, 0, 0, 0, 3, 0, 0, 3, 3, 3, 3, 3, 0, 0, 3], [3, 3, 0, 0, 0, 0, 3, 3, 3, 0, 3, 0, 0, 3, 0], [0, 0, 0, 3, 3, 0, 0, 3, 3, 3, 0, 0, 3, 0, 0], [0, 6, 6, 0, 6, 0, 0, 6, 6, 6, 6, 0, 6, 6, 6], [0, 0, 0, 6, 0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6], [0, 6, 0, 6, 0, 6, 0, 0, 6, 6, 6, 6, 0, 6, 0], [0, 0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 0, 6, 0, 6], [0, 0, 6, 6, 6, 6, 6, 0, 6, 6, 6, 6, 0, 6, 6], [6, 6, 0, 6, 6, 6, 6, 0, 6, 6, 0, 0, 6, 6, 6], [6, 0, 0, 6, 0, 0, 6, 0, 6, 6, 6, 0, 6, 6, 6], [0, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0], [6, 6, 6, 0, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0], [0, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 6], [0, 0, 0, 0, 6, 6, 0, 6, 0, 6, 0, 0, 0, 6, 0], [6, 0, 0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 6, 0], [6, 0, 6, 0, 0, 6, 6, 0, 0, 0, 6, 0, 6, 0, 0], [6, 6, 0, 6, 0, 6, 0, 6, 0, 6, 6, 0, 0, 6, 6], [0, 6, 0, 0, 6, 0, 0, 6, 6, 0, 6, 0, 6, 0, 0]] -> [[0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 0, 0, 0], [0, 9, 0, 0, 0, 9, 0, 0, 9, 9, 0, 0, 0, 0, 0], [0, 0, 9, 0, 9, 0, 0, 9, 0, 9, 9, 0, 9, 0, 9], [0, 0, 0, 9, 0, 9, 0, 0, 9, 9, 9, 0, 0, 9, 0], [9, 9, 0, 0, 9, 0, 9, 0, 9, 0, 0, 0, 0, 9, 0], [9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 9, 9, 9], [0, 0, 9, 0, 0, 9, 0, 9, 0, 0, 9, 0, 0, 0, 0], [0, 9, 0, 0, 0, 0, 9, 9, 9, 0, 9, 9, 0, 0, 0], [0, 0, 0, 0, 9, 9, 0, 0, 0, 9, 0, 0, 9, 0, 9], [0, 0, 0, 0, 9, 0, 0, 9, 0, 0, 0, 0, 0, 9, 0], [9, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0], [9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0], [9, 9, 0, 0, 0, 0, 0, 9, 0, 0, 9, 0, 0, 9, 0], [0, 0, 0, 0, 9, 0, 0, 9, 9, 0, 0, 0, 9, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[3, 3, 3, 0, 0, 3, 3, 0, 0, 0, 0, 3, 3, 3, 0], [0, 0, 0, 0, 0, 0, 3, 0, 0, 3, 3, 3, 0, 0, 0], [0, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 3, 0, 0], [3, 0, 3, 0, 3, 0, 0, 3, 0, 3, 3, 0, 3, 3, 3], [3, 0, 0, 3, 0, 3, 0, 3, 3, 3, 3, 0, 3, 3, 0], [3, 3, 3, 0, 3, 0, 3, 3, 3, 0, 3, 0, 0, 3, 0], [3, 0, 3, 0, 0, 3, 0, 0, 0, 0, 3, 0, 3, 3, 3], [3, 0, 3, 0, 0, 3, 0, 3, 0, 0, 3, 0, 3, 0, 3], [0, 3, 0, 0, 0, 3, 3, 3, 3, 0, 3, 3, 0, 3, 0], [0, 0, 3, 0, 3, 3, 3, 0, 0, 3, 0, 0, 3, 0, 3], [3, 3, 0, 0, 3, 0, 0, 3, 3, 0, 3, 0, 3, 3, 3], [3, 3, 3, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 3], [3, 0, 0, 0, 3, 0, 0, 3, 3, 3, 3, 3, 0, 0, 3], [3, 3, 0, 0, 0, 0, 3, 3, 3, 0, 3, 0, 0, 3, 0], [0, 0, 0, 3, 3, 0, 0, 3, 3, 3, 0, 0, 3, 0, 0], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
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+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0
+                        ],
+                        [
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+                            0,
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+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0
+                        ],
+                        [
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0
+                        ],
+                        [
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3
+                        ],
+                        [
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3
+                        ],
+                        [
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
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+                        ],
+                        [
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+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ]
+                    ],
+                    "output": [
+                        [
+                            9,
+                            9,
+                            9,
+                            0,
+                            0,
+                            9,
+                            9,
+                            0,
+                            0,
+                            0,
+                            0,
+                            9,
+                            9,
+                            9,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            9,
+                            0,
+                            0,
+                            9,
+                            9,
+                            9,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            9,
+                            0,
+                            0,
+                            9,
+                            9,
+                            0,
+                            0,
+                            9,
+                            9,
+                            0,
+                            0,
+                            9,
+                            0,
+                            0
+                        ],
+                        [
+                            9,
+                            0,
+                            9,
+                            0,
+                            9,
+                            0,
+                            0,
+                            9,
+                            0,
+                            9,
+                            9,
+                            0,
+                            9,
+                            9,
+                            9
+                        ],
+                        [
+                            9,
+                            0,
+                            0,
+                            9,
+                            0,
+                            9,
+                            0,
+                            9,
+                            9,
+                            9,
+                            9,
+                            0,
+                            9,
+                            9,
+                            0
+                        ],
+                        [
+                            9,
+                            9,
+                            9,
+                            0,
+                            9,
+                            0,
+                            9,
+                            9,
+                            9,
+                            0,
+                            9,
+                            0,
+                            0,
+                            9,
+                            0
+                        ],
+                        [
+                            9,
+                            0,
+                            9,
+                            0,
+                            0,
+                            9,
+                            0,
+                            0,
+                            0,
+                            0,
+                            9,
+                            0,
+                            9,
+                            9,
+                            9
+                        ],
+                        [
+                            9,
+                            0,
+                            9,
+                            0,
+                            0,
+                            9,
+                            0,
+                            9,
+                            0,
+                            0,
+                            9,
+                            0,
+                            9,
+                            0,
+                            9
+                        ],
+                        [
+                            0,
+                            9,
+                            0,
+                            0,
+                            0,
+                            9,
+                            9,
+                            9,
+                            9,
+                            0,
+                            9,
+                            9,
+                            0,
+                            9,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            9,
+                            0,
+                            9,
+                            9,
+                            9,
+                            0,
+                            0,
+                            9,
+                            0,
+                            0,
+                            9,
+                            0,
+                            9
+                        ],
+                        [
+                            9,
+                            9,
+                            0,
+                            0,
+                            9,
+                            0,
+                            0,
+                            9,
+                            9,
+                            0,
+                            9,
+                            0,
+                            9,
+                            9,
+                            9
+                        ],
+                        [
+                            9,
+                            9,
+                            9,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            9,
+                            9,
+                            0,
+                            0,
+                            0,
+                            9
+                        ],
+                        [
+                            9,
+                            0,
+                            0,
+                            0,
+                            9,
+                            0,
+                            0,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            0,
+                            0,
+                            9
+                        ],
+                        [
+                            9,
+                            9,
+                            0,
+                            0,
+                            0,
+                            0,
+                            9,
+                            9,
+                            9,
+                            0,
+                            9,
+                            0,
+                            0,
+                            9,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            9,
+                            9,
+                            0,
+                            0,
+                            9,
+                            9,
+                            9,
+                            0,
+                            0,
+                            9,
+                            0,
+                            0
+                        ]
+                    ]
+                }
+            },
+            "Replicate 3": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[3, 0, 3, 3, 3, 0, 0, 3, 0, 3, 3, 0, 0, 0, 0], [0, 0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 3, 3, 0, 3], [0, 0, 0, 3, 3, 3, 0, 0, 0, 3, 0, 3, 3, 0, 3], [0, 3, 0, 3, 3, 3, 3, 0, 3, 3, 0, 0, 0, 3, 3], [3, 3, 0, 3, 3, 0, 0, 3, 0, 0, 0, 3, 0, 3, 3], [0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 3, 3, 3, 0], [0, 3, 0, 0, 3, 0, 0, 0, 3, 3, 3, 0, 3, 0, 3], [0, 0, 3, 0, 3, 0, 3, 0, 3, 0, 0, 0, 0, 3, 3], [3, 3, 0, 0, 0, 0, 0, 3, 0, 3, 3, 0, 0, 0, 3], [0, 0, 0, 0, 0, 0, 0, 3, 0, 3, 3, 3, 0, 0, 0], [0, 3, 0, 0, 0, 0, 3, 0, 3, 0, 3, 3, 3, 3, 0], [3, 3, 3, 3, 3, 0, 0, 3, 3, 0, 3, 0, 3, 3, 3], [3, 0, 0, 3, 0, 3, 0, 0, 3, 0, 0, 0, 0, 0, 0], [3, 0, 0, 3, 3, 3, 0, 0, 3, 3, 0, 3, 3, 0, 0], [0, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 3, 0, 0, 0], [6, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 0, 0, 0, 0], [6, 6, 0, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6, 6, 0], [6, 6, 0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 6, 0, 0], [6, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0], [0, 6, 6, 0, 6, 0, 6, 0, 6, 0, 0, 6, 6, 6, 0], [0, 6, 6, 0, 0, 6, 0, 0, 6, 0, 0, 0, 6, 6, 0], [6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 6], [0, 6, 6, 0, 6, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 6, 0, 6, 6, 0, 6, 6, 0, 0, 0, 0], [6, 0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0], [6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 0, 6, 6, 0, 6, 0, 6, 6, 6, 6, 6], [0, 0, 6, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 6, 0], [0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 0, 0]] -> [[9, 0, 9, 0, 9, 0, 0, 0, 0, 9, 9, 0, 0, 0, 0], [0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 9, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0], [9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 9, 0, 0, 0, 9, 0, 0, 9, 9, 9, 0], [0, 9, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 9, 0, 0], [0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9], [0, 9, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 9, 0, 9, 9, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 9, 0, 9, 0, 9, 9, 9, 0, 0], [9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 9, 0, 0, 9, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 9, 0, 0, 9, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[3, 0, 3, 3, 3, 0, 0, 3, 0, 3, 3, 0, 0, 0, 0], [0, 0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 3, 3, 0, 3], [0, 0, 0, 3, 3, 3, 0, 0, 0, 3, 0, 3, 3, 0, 3], [0, 3, 0, 3, 3, 3, 3, 0, 3, 3, 0, 0, 0, 3, 3], [3, 3, 0, 3, 3, 0, 0, 3, 0, 0, 0, 3, 0, 3, 3], [0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 3, 3, 3, 0], [0, 3, 0, 0, 3, 0, 0, 0, 3, 3, 3, 0, 3, 0, 3], [0, 0, 3, 0, 3, 0, 3, 0, 3, 0, 0, 0, 0, 3, 3], [3, 3, 0, 0, 0, 0, 0, 3, 0, 3, 3, 0, 0, 0, 3], [0, 0, 0, 0, 0, 0, 0, 3, 0, 3, 3, 3, 0, 0, 0], [0, 3, 0, 0, 0, 0, 3, 0, 3, 0, 3, 3, 3, 3, 0], [3, 3, 3, 3, 3, 0, 0, 3, 3, 0, 3, 0, 3, 3, 3], [3, 0, 0, 3, 0, 3, 0, 0, 3, 0, 0, 0, 0, 0, 0], [3, 0, 0, 3, 3, 3, 0, 0, 3, 3, 0, 3, 3, 0, 0], [0, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 3, 0, 0, 0], [6, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 0, 0, 0, 0], [6, 6, 0, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6, 6, 0], [6, 6, 0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 6, 0, 0], [6, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0], [0, 6, 6, 0, 6, 0, 6, 0, 6, 0, 0, 6, 6, 6, 0], [0, 6, 6, 0, 0, 6, 0, 0, 6, 0, 0, 0, 6, 6, 0], [6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 6], [0, 6, 6, 0, 6, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 6, 0, 6, 6, 0, 6, 6, 0, 0, 0, 0], [6, 0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0], [6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 0, 6, 6, 0, 6, 0, 6, 6, 6, 6, 6], [0, 0, 6, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 6, 0], [0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 0, 0]] -> [[9, 0, 9, 0, 9, 0, 0, 0, 0, 9, 9, 0, 0, 0, 0], [0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 9, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0], [9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 9, 0, 0, 0, 9, 0, 0, 9, 9, 9, 0], [0, 9, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 9, 0, 0], [0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9], [0, 9, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 9, 0, 9, 9, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 9, 0, 9, 0, 9, 9, 9, 0, 0], [9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 9, 0, 0, 9, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 9, 0, 0, 9, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[3, 3, 0, 0, 3, 0, 0, 3, 3, 0, 0, 0, 0, 3, 0], [0, 3, 3, 0, 3, 0, 0, 0, 3, 0, 3, 0, 0, 3, 0], [0, 3, 3, 3, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 0], [0, 3, 3, 0, 0, 3, 0, 0, 3, 3, 3, 3, 3, 3, 0], [3, 3, 0, 0, 3, 3, 0, 3, 3, 3, 0, 3, 0, 3, 3], [3, 3, 3, 0, 3, 0, 0, 0, 3, 3, 0, 0, 3, 3, 0], [3, 0, 3, 0, 3, 3, 0, 0, 3, 0, 3, 3, 3, 0, 3], [0, 0, 0, 0, 0, 3, 0, 0, 3, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 0, 0, 3, 3, 0, 3, 0, 3, 0, 0, 0], [3, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 3, 0, 3], [3, 3, 3, 0, 0, 0, 0, 3, 0, 3, 0, 3, 3, 0, 0], [3, 0, 3, 3, 3, 3, 3, 0, 3, 3, 0, 3, 0, 0, 3], [0, 0, 3, 0, 3, 3, 0, 3, 3, 3, 0, 3, 0, 3, 3], [0, 0, 3, 3, 0, 0, 3, 0, 3, 3, 0, 3, 0, 0, 3], [3, 3, 3, 3, 3, 3, 0, 3, 0, 0, 3, 0, 3, 0, 3], [0, 6, 0, 6, 6, 0, 0, 0, 6, 0, 6, 6, 6, 6, 6], [0, 6, 0, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 0], [6, 0, 6, 0, 0, 6, 6, 6, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 6, 0, 0, 6, 6, 6, 0, 0, 0, 0], [0, 6, 6, 6, 0, 6, 6, 0, 6, 6, 0, 0, 6, 0, 0], [0, 0, 6, 0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 6, 0], [0, 0, 6, 0, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 6], [6, 0, 0, 6, 6, 6, 6, 6, 0, 6, 0, 6, 6, 0, 0], [0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [6, 6, 6, 6, 0, 6, 0, 0, 6, 6, 6, 0, 0, 0, 6], [0, 0, 0, 6, 6, 0, 6, 0, 0, 6, 0, 0, 0, 0, 6], [0, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0], [0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 6, 6, 0, 0, 6], [6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6], [6, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 0, 6, 6, 0]] -> [[0, 9, 0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 0, 9, 0], [0, 9, 0, 0, 9, 0, 0, 0, 0, 0, 9, 0, 0, 9, 0], [0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 0, 0, 9, 0, 0], [0, 0, 0, 0, 0, 9, 0, 0, 9, 9, 9, 0, 0, 0, 0], [0, 9, 0, 0, 0, 9, 0, 0, 9, 9, 0, 0, 0, 0, 0], [0, 0, 9, 0, 0, 0, 0, 0, 9, 9, 0, 0, 9, 9, 0], [0, 0, 9, 0, 0, 9, 0, 0, 0, 0, 0, 9, 0, 0, 9], [0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 9, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0], [9, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0], [0, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 0, 0, 0, 0], [0, 0, 0, 0, 9, 0, 0, 0, 9, 9, 0, 9, 0, 0, 9], [0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 0, 9, 0, 0, 9], [9, 9, 0, 9, 9, 9, 0, 9, 0, 0, 0, 0, 9, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[4, 4, 0, 0, 4, 0, 0, 4, 4, 0, 0, 0, 0, 4, 0], [0, 4, 4, 0, 4, 0, 0, 0, 4, 0, 4, 0, 0, 4, 0], [0, 4, 4, 4, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 0], [0, 4, 4, 0, 0, 4, 0, 0, 4, 4, 4, 4, 4, 4, 0], [4, 4, 0, 0, 4, 4, 0, 4, 4, 4, 0, 4, 0, 4, 4], [4, 4, 4, 0, 4, 0, 0, 0, 4, 4, 0, 0, 4, 4, 0], [4, 0, 4, 0, 4, 4, 0, 0, 4, 0, 4, 4, 4, 0, 4], [0, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0, 0, 0, 0, 0], [0, 0, 4, 0, 0, 0, 4, 4, 0, 4, 0, 4, 0, 0, 0], [4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 4, 0, 4], [4, 4, 4, 0, 0, 0, 0, 4, 0, 4, 0, 4, 4, 0, 0], [4, 0, 4, 4, 4, 4, 4, 0, 4, 4, 0, 4, 0, 0, 4], [0, 0, 4, 0, 4, 4, 0, 4, 4, 4, 0, 4, 0, 4, 4], [0, 0, 4, 4, 0, 0, 4, 0, 4, 4, 0, 4, 0, 0, 4], [4, 4, 4, 4, 4, 4, 0, 4, 0, 0, 4, 0, 4, 0, 4], [0, 6, 0, 6, 6, 0, 0, 0, 6, 0, 6, 6, 6, 6, 6], [0, 6, 0, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 0], [6, 0, 6, 0, 0, 6, 6, 6, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 6, 0, 0, 6, 6, 6, 0, 0, 0, 0], [0, 6, 6, 6, 0, 6, 6, 0, 6, 6, 0, 0, 6, 0, 0], [0, 0, 6, 0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 6, 0], [0, 0, 6, 0, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 6], [6, 0, 0, 6, 6, 6, 6, 6, 0, 6, 0, 6, 6, 0, 0], [0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [6, 6, 6, 6, 0, 6, 0, 0, 6, 6, 6, 0, 0, 0, 6], [0, 0, 0, 6, 6, 0, 6, 0, 0, 6, 0, 0, 0, 0, 6], [0, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0], [0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 6, 6, 0, 0, 6], [6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6], [6, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 0, 6, 6, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            4,
+                            4,
+                            0,
+                            0,
+                            4,
+                            0,
+                            0,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0,
+                            4,
+                            0
+                        ],
+                        [
+                            0,
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+                            0,
+                            0,
+                            4,
+                            0,
+                            4,
+                            0,
+                            0,
+                            4,
+                            0
+                        ],
+                        [
+                            0,
+                            4,
+                            4,
+                            4,
+                            4,
+                            0,
+                            4,
+                            0,
+                            4,
+                            0,
+                            4,
+                            0,
+                            4,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            4,
+                            4,
+                            0,
+                            0,
+                            4,
+                            0,
+                            0,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            0
+                        ],
+                        [
+                            4,
+                            4,
+                            0,
+                            0,
+                            4,
+                            4,
+                            0,
+                            4,
+                            4,
+                            4,
+                            0,
+                            4,
+                            0,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            0,
+                            4,
+                            0,
+                            0,
+                            0,
+                            4,
+                            4,
+                            0,
+                            0,
+                            4,
+                            4,
+                            0
+                        ],
+                        [
+                            4,
+                            0,
+                            4,
+                            0,
+                            4,
+                            4,
+                            0,
+                            0,
+                            4,
+                            0,
+                            4,
+                            4,
+                            4,
+                            0,
+                            4
+                        ],
+                        [
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+                            0,
+                            0,
+                            4,
+                            0,
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+                        ],
+                        [
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+                            0,
+                            4,
+                            4,
+                            0,
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+                            0,
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+                            0,
+                            0
+                        ],
+                        [
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+                        ],
+                        [
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+                        ],
+                        [
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+                        ],
+                        [
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+                        ],
+                        [
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+                        ],
+                        [
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+                            0,
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+                        ],
+                        [
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+                            6,
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+                        ],
+                        [
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+                            6,
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+                        ],
+                        [
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+                            6,
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+                            0,
+                            0,
+                            6,
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+                        ],
+                        [
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6,
+                            6,
+                            0
+                        ],
+                        [
+                            0,
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+                        ],
+                        [
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+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                    ],
+                    "output": [
+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                    ]
+                }
+            },
+            "Replicate 4": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[3, 3, 0, 0, 3, 0, 0, 3, 3, 0, 0, 0, 0, 3, 0], [0, 3, 3, 0, 3, 0, 0, 0, 3, 0, 3, 0, 0, 3, 0], [0, 3, 3, 3, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 0], [0, 3, 3, 0, 0, 3, 0, 0, 3, 3, 3, 3, 3, 3, 0], [3, 3, 0, 0, 3, 3, 0, 3, 3, 3, 0, 3, 0, 3, 3], [3, 3, 3, 0, 3, 0, 0, 0, 3, 3, 0, 0, 3, 3, 0], [3, 0, 3, 0, 3, 3, 0, 0, 3, 0, 3, 3, 3, 0, 3], [0, 0, 0, 0, 0, 3, 0, 0, 3, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 0, 0, 3, 3, 0, 3, 0, 3, 0, 0, 0], [3, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 3, 0, 3], [3, 3, 3, 0, 0, 0, 0, 3, 0, 3, 0, 3, 3, 0, 0], [3, 0, 3, 3, 3, 3, 3, 0, 3, 3, 0, 3, 0, 0, 3], [0, 0, 3, 0, 3, 3, 0, 3, 3, 3, 0, 3, 0, 3, 3], [0, 0, 3, 3, 0, 0, 3, 0, 3, 3, 0, 3, 0, 0, 3], [3, 3, 3, 3, 3, 3, 0, 3, 0, 0, 3, 0, 3, 0, 3], [0, 6, 0, 6, 6, 0, 0, 0, 6, 0, 6, 6, 6, 6, 6], [0, 6, 0, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 0], [6, 0, 6, 0, 0, 6, 6, 6, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 6, 0, 0, 6, 6, 6, 0, 0, 0, 0], [0, 6, 6, 6, 0, 6, 6, 0, 6, 6, 0, 0, 6, 0, 0], [0, 0, 6, 0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 6, 0], [0, 0, 6, 0, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 6], [6, 0, 0, 6, 6, 6, 6, 6, 0, 6, 0, 6, 6, 0, 0], [0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [6, 6, 6, 6, 0, 6, 0, 0, 6, 6, 6, 0, 0, 0, 6], [0, 0, 0, 6, 6, 0, 6, 0, 0, 6, 0, 0, 0, 0, 6], [0, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0], [0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 6, 6, 0, 0, 6], [6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6], [6, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 0, 6, 6, 0]] -> [[0, 9, 0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 0, 9, 0], [0, 9, 0, 0, 9, 0, 0, 0, 0, 0, 9, 0, 0, 9, 0], [0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 0, 0, 9, 0, 0], [0, 0, 0, 0, 0, 9, 0, 0, 9, 9, 9, 0, 0, 0, 0], [0, 9, 0, 0, 0, 9, 0, 0, 9, 9, 0, 0, 0, 0, 0], [0, 0, 9, 0, 0, 0, 0, 0, 9, 9, 0, 0, 9, 9, 0], [0, 0, 9, 0, 0, 9, 0, 0, 0, 0, 0, 9, 0, 0, 9], [0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 9, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0], [9, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0], [0, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 0, 0, 0, 0], [0, 0, 0, 0, 9, 0, 0, 0, 9, 9, 0, 9, 0, 0, 9], [0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 0, 9, 0, 0, 9], [9, 9, 0, 9, 9, 9, 0, 9, 0, 0, 0, 0, 9, 0, 0]]\nExample input-output arrays:\n[[3, 3, 0, 0, 3, 0, 0, 3, 3, 0, 0, 0, 0, 3, 0], [0, 3, 3, 0, 3, 0, 0, 0, 3, 0, 3, 0, 0, 3, 0], [0, 3, 3, 3, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 0], [0, 3, 3, 0, 0, 3, 0, 0, 3, 3, 3, 3, 3, 3, 0], [3, 3, 0, 0, 3, 3, 0, 3, 3, 3, 0, 3, 0, 3, 3], [3, 3, 3, 0, 3, 0, 0, 0, 3, 3, 0, 0, 3, 3, 0], [3, 0, 3, 0, 3, 3, 0, 0, 3, 0, 3, 3, 3, 0, 3], [0, 0, 0, 0, 0, 3, 0, 0, 3, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 0, 0, 3, 3, 0, 3, 0, 3, 0, 0, 0], [3, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 3, 0, 3], [3, 3, 3, 0, 0, 0, 0, 3, 0, 3, 0, 3, 3, 0, 0], [3, 0, 3, 3, 3, 3, 3, 0, 3, 3, 0, 3, 0, 0, 3], [0, 0, 3, 0, 3, 3, 0, 3, 3, 3, 0, 3, 0, 3, 3], [0, 0, 3, 3, 0, 0, 3, 0, 3, 3, 0, 3, 0, 0, 3], [3, 3, 3, 3, 3, 3, 0, 3, 0, 0, 3, 0, 3, 0, 3], [0, 6, 0, 6, 6, 0, 0, 0, 6, 0, 6, 6, 6, 6, 6], [0, 6, 0, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 0], [6, 0, 6, 0, 0, 6, 6, 6, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 6, 0, 0, 6, 6, 6, 0, 0, 0, 0], [0, 6, 6, 6, 0, 6, 6, 0, 6, 6, 0, 0, 6, 0, 0], [0, 0, 6, 0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 6, 0], [0, 0, 6, 0, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 6], [6, 0, 0, 6, 6, 6, 6, 6, 0, 6, 0, 6, 6, 0, 0], [0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [6, 6, 6, 6, 0, 6, 0, 0, 6, 6, 6, 0, 0, 0, 6], [0, 0, 0, 6, 6, 0, 6, 0, 0, 6, 0, 0, 0, 0, 6], [0, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0], [0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 6, 6, 0, 0, 6], [6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6], [6, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 0, 6, 6, 0]] -> [[0, 9, 0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 0, 9, 0], [0, 9, 0, 0, 9, 0, 0, 0, 0, 0, 9, 0, 0, 9, 0], [0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 0, 0, 9, 0, 0], [0, 0, 0, 0, 0, 9, 0, 0, 9, 9, 9, 0, 0, 0, 0], [0, 9, 0, 0, 0, 9, 0, 0, 9, 9, 0, 0, 0, 0, 0], [0, 0, 9, 0, 0, 0, 0, 0, 9, 9, 0, 0, 9, 9, 0], [0, 0, 9, 0, 0, 9, 0, 0, 0, 0, 0, 9, 0, 0, 9], [0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 9, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0], [9, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0], [0, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 0, 0, 0, 0], [0, 0, 0, 0, 9, 0, 0, 0, 9, 9, 0, 9, 0, 0, 9], [0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 0, 9, 0, 0, 9], [9, 9, 0, 9, 9, 9, 0, 9, 0, 0, 0, 0, 9, 0, 0]]\nExample input-output arrays:\n[[3, 3, 0, 0, 0, 3, 3, 0, 3, 3, 0, 3, 0, 0, 0], [3, 0, 3, 3, 0, 0, 0, 3, 0, 3, 0, 3, 0, 3, 3], [0, 3, 0, 3, 0, 3, 0, 3, 3, 0, 3, 0, 3, 3, 0], [0, 0, 0, 0, 0, 3, 0, 0, 3, 3, 0, 0, 3, 0, 0], [3, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 0, 0, 3, 0], [0, 3, 3, 0, 3, 3, 0, 0, 0, 0, 0, 0, 3, 3, 3], [0, 0, 0, 3, 3, 3, 3, 3, 0, 3, 3, 0, 0, 0, 0], [0, 3, 0, 0, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 3, 0, 0, 3, 3, 3, 3, 0, 3], [0, 3, 0, 3, 3, 3, 3, 0, 0, 0, 0, 0, 3, 3, 3], [0, 3, 0, 3, 0, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0], [3, 3, 3, 0, 0, 0, 3, 0, 0, 0, 0, 3, 0, 0, 0], [3, 0, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3], [3, 3, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3], [0, 3, 0, 3, 0, 0, 0, 0, 0, 3, 3, 3, 0, 0, 3], [6, 6, 6, 0, 0, 0, 6, 6, 0, 0, 6, 0, 6, 6, 6], [0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 0, 0, 6, 0, 0], [6, 6, 6, 0, 0, 6, 0, 0, 6, 0, 0, 0, 6, 0, 6], [6, 0, 6, 6, 6, 0, 6, 6, 6, 6, 0, 6, 0, 6, 6], [0, 0, 6, 0, 0, 0, 0, 6, 0, 0, 6, 6, 6, 6, 0], [0, 6, 6, 0, 0, 6, 0, 0, 0, 6, 6, 0, 0, 6, 6], [0, 6, 0, 0, 6, 0, 6, 0, 6, 6, 0, 0, 0, 6, 6], [6, 6, 6, 0, 6, 6, 6, 0, 6, 0, 0, 0, 0, 6, 0], [0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 6, 6, 0, 0, 6], [0, 6, 6, 0, 6, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 0, 0, 6, 6, 0, 6, 0, 0, 6, 6, 6], [0, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 0, 0, 0, 0], [0, 0, 0, 0, 6, 6, 6, 0, 6, 6, 0, 6, 6, 6, 0], [0, 0, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 0], [0, 0, 6, 6, 6, 6, 6, 0, 0, 6, 0, 0, 6, 0, 0]] -> [[9, 9, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 9, 0, 0, 0, 9, 0, 0, 9, 0, 0, 0, 9, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 9, 0, 0, 9, 0], [0, 9, 9, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 9, 9], [0, 0, 0, 0, 9, 0, 9, 0, 0, 9, 0, 0, 0, 0, 0], [0, 9, 0, 0, 9, 9, 9, 0, 9, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 9, 9, 0, 0, 9], [0, 9, 0, 0, 9, 9, 9, 0, 0, 0, 0, 0, 9, 9, 9], [0, 9, 0, 9, 0, 0, 0, 0, 0, 9, 0, 0, 9, 9, 0], [0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 9, 9, 9, 0, 9, 9, 0, 9, 9, 0, 0], [0, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 0, 0, 0], [0, 0, 0, 9, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 6, 6, 0, 0, 0, 6, 6, 0, 0, 6, 0, 6, 6, 6], [0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 0, 0, 6, 0, 0], [6, 6, 6, 0, 0, 6, 0, 0, 6, 0, 0, 0, 6, 0, 6], [6, 0, 6, 6, 6, 0, 6, 6, 6, 6, 0, 6, 0, 6, 6], [0, 0, 6, 0, 0, 0, 0, 6, 0, 0, 6, 6, 6, 6, 0], [0, 6, 6, 0, 0, 6, 0, 0, 0, 6, 6, 0, 0, 6, 6], [0, 6, 0, 0, 6, 0, 6, 0, 6, 6, 0, 0, 0, 6, 6], [6, 6, 6, 0, 6, 6, 6, 0, 6, 0, 0, 0, 0, 6, 0], [0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 6, 6, 0, 0, 6], [0, 6, 6, 0, 6, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 0, 0, 6, 6, 0, 6, 0, 0, 6, 6, 6], [0, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 0, 0, 0, 0], [0, 0, 0, 0, 6, 6, 6, 0, 6, 6, 0, 6, 6, 6, 0], [0, 0, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 0], [0, 0, 6, 6, 6, 6, 6, 0, 0, 6, 0, 0, 6, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            0,
+                            0,
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+                            0,
+                            0,
+                            0,
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+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
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+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
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+                            0
+                        ],
+                        [
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+                            0,
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+                            0,
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+                            0,
+                            0,
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+        "L3": {
+            "Replicate 0": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[3, 3, 3, 0, 0, 3, 3, 0, 0, 0, 0, 3, 3, 3, 0], [0, 0, 0, 0, 0, 0, 3, 0, 0, 3, 3, 3, 0, 0, 0], [0, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 3, 0, 0], [3, 0, 3, 0, 3, 0, 0, 3, 0, 3, 3, 0, 3, 3, 3], [3, 0, 0, 3, 0, 3, 0, 3, 3, 3, 3, 0, 3, 3, 0], [3, 3, 3, 0, 3, 0, 3, 3, 3, 0, 3, 0, 0, 3, 0], [3, 0, 3, 0, 0, 3, 0, 0, 0, 0, 3, 0, 3, 3, 3], [3, 0, 3, 0, 0, 3, 0, 3, 0, 0, 3, 0, 3, 0, 3], [0, 3, 0, 0, 0, 3, 3, 3, 3, 0, 3, 3, 0, 3, 0], [0, 0, 3, 0, 3, 3, 3, 0, 0, 3, 0, 0, 3, 0, 3], [3, 3, 0, 0, 3, 0, 0, 3, 3, 0, 3, 0, 3, 3, 3], [3, 3, 3, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 3], [3, 0, 0, 0, 3, 0, 0, 3, 3, 3, 3, 3, 0, 0, 3], [3, 3, 0, 0, 0, 0, 3, 3, 3, 0, 3, 0, 0, 3, 0], [0, 0, 0, 3, 3, 0, 0, 3, 3, 3, 0, 0, 3, 0, 0], [0, 6, 6, 0, 6, 0, 0, 6, 6, 6, 6, 0, 6, 6, 6], [0, 0, 0, 6, 0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6], [0, 6, 0, 6, 0, 6, 0, 0, 6, 6, 6, 6, 0, 6, 0], [0, 0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 0, 6, 0, 6], [0, 0, 6, 6, 6, 6, 6, 0, 6, 6, 6, 6, 0, 6, 6], [6, 6, 0, 6, 6, 6, 6, 0, 6, 6, 0, 0, 6, 6, 6], [6, 0, 0, 6, 0, 0, 6, 0, 6, 6, 6, 0, 6, 6, 6], [0, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0], [6, 6, 6, 0, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0], [0, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 6], [0, 0, 0, 0, 6, 6, 0, 6, 0, 6, 0, 0, 0, 6, 0], [6, 0, 0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 6, 0], [6, 0, 6, 0, 0, 6, 6, 0, 0, 0, 6, 0, 6, 0, 0], [6, 6, 0, 6, 0, 6, 0, 6, 0, 6, 6, 0, 0, 6, 6], [0, 6, 0, 0, 6, 0, 0, 6, 6, 0, 6, 0, 6, 0, 0]] -> [[0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 0, 0, 0], [0, 9, 0, 0, 0, 9, 0, 0, 9, 9, 0, 0, 0, 0, 0], [0, 0, 9, 0, 9, 0, 0, 9, 0, 9, 9, 0, 9, 0, 9], [0, 0, 0, 9, 0, 9, 0, 0, 9, 9, 9, 0, 0, 9, 0], [9, 9, 0, 0, 9, 0, 9, 0, 9, 0, 0, 0, 0, 9, 0], [9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 9, 9, 9], [0, 0, 9, 0, 0, 9, 0, 9, 0, 0, 9, 0, 0, 0, 0], [0, 9, 0, 0, 0, 0, 9, 9, 9, 0, 9, 9, 0, 0, 0], [0, 0, 0, 0, 9, 9, 0, 0, 0, 9, 0, 0, 9, 0, 9], [0, 0, 0, 0, 9, 0, 0, 9, 0, 0, 0, 0, 0, 9, 0], [9, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0], [9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0], [9, 9, 0, 0, 0, 0, 0, 9, 0, 0, 9, 0, 0, 9, 0], [0, 0, 0, 0, 9, 0, 0, 9, 9, 0, 0, 0, 9, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing the causal function for some elements.\n[[0, 0, 0, 3, 3, 0, 0, 3, 3, 3, 3, 0, 0, 0, 3], [3, 3, 3, 3, 3, 3, 0, 3, 3, 0, 0, 0, 3, 3, 3], [3, 0, 3, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0, 3, 3], [0, 3, 0, 3, 0, 3, 3, 0, 3, 0, 0, 3, 0, 0, 0], [0, 3, 3, 0, 3, 0, 3, 0, 0, 0, 0, 3, 0, 0, 3], [0, 0, 0, 3, 0, 3, 0, 0, 0, 3, 0, 3, 3, 0, 3], [0, 3, 0, 3, 3, 0, 3, 3, 3, 3, 0, 3, 0, 0, 0], [0, 3, 0, 3, 3, 0, 3, 0, 3, 3, 0, 3, 0, 3, 0], [3, 0, 3, 3, 3, 0, 0, 0, 0, 3, 0, 0, 3, 0, 3], [3, 3, 0, 3, 0, 0, 0, 3, 3, 0, 3, 3, 0, 3, 0], [0, 0, 3, 3, 0, 3, 3, 0, 0, 3, 0, 3, 0, 0, 0], [0, 0, 0, 3, 3, 3, 3, 3, 3, 0, 0, 3, 3, 3, 0], [0, 3, 3, 3, 0, 3, 3, 0, 0, 0, 0, 0, 3, 3, 0], [0, 0, 3, 3, 3, 3, 0, 0, 0, 3, 0, 3, 3, 0, 3], [3, 3, 3, 0, 0, 3, 3, 0, 0, 0, 3, 3, 0, 3, 3], [0, 6, 6, 0, 6, 0, 0, 6, 6, 6, 6, 0, 6, 6, 6], [0, 0, 0, 6, 0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6], [0, 6, 0, 6, 0, 6, 0, 0, 6, 6, 6, 6, 0, 6, 0], [0, 0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 0, 6, 0, 6], [0, 0, 6, 6, 6, 6, 6, 0, 6, 6, 6, 6, 0, 6, 6], [6, 6, 0, 6, 6, 6, 6, 0, 6, 6, 0, 0, 6, 6, 6], [6, 0, 0, 6, 0, 0, 6, 0, 6, 6, 6, 0, 6, 6, 6], [0, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0], [6, 6, 6, 0, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0], [0, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 6], [0, 0, 0, 0, 6, 6, 0, 6, 0, 6, 0, 0, 0, 6, 0], [6, 0, 0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 6, 0], [6, 0, 6, 0, 0, 6, 6, 0, 0, 0, 6, 0, 6, 0, 0], [6, 6, 0, 6, 0, 6, 0, 6, 0, 6, 6, 0, 0, 6, 6], [0, 6, 0, 0, 6, 0, 0, 6, 6, 0, 6, 0, 6, 0, 0]] -> [[0, 0, 0, 0, 9, 0, 0, 9, 9, 9, 9, 0, 0, 0, 9], [0, 0, 0, 9, 0, 9, 0, 9, 0, 0, 0, 0, 9, 9, 9], [0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 9, 9, 0, 9, 0], [0, 0, 0, 0, 0, 0, 9, 0, 9, 0, 0, 0, 0, 0, 0], [0, 0, 9, 0, 9, 0, 9, 0, 0, 0, 0, 9, 0, 0, 9], [0, 0, 0, 9, 0, 9, 0, 0, 0, 9, 0, 0, 9, 0, 9], [0, 0, 0, 9, 0, 0, 9, 0, 9, 9, 0, 0, 0, 0, 0], [0, 0, 0, 9, 0, 0, 9, 0, 9, 9, 0, 0, 0, 0, 0], [9, 0, 9, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 9, 0, 0, 0, 9, 9, 0, 0, 9, 0, 0, 0], [0, 0, 0, 0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 0, 0], [0, 0, 0, 9, 0, 9, 9, 9, 0, 0, 0, 9, 0, 9, 0], [0, 0, 9, 0, 0, 9, 9, 0, 0, 0, 0, 0, 9, 0, 0], [0, 0, 0, 9, 0, 9, 0, 0, 0, 9, 0, 0, 0, 0, 9], [0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0]]\nExample input-output arrays:\n[[3, 3, 0, 0, 0, 3, 3, 0, 3, 3, 0, 3, 0, 0, 0], [3, 0, 3, 3, 0, 0, 0, 3, 0, 3, 0, 3, 0, 3, 3], [0, 3, 0, 3, 0, 3, 0, 3, 3, 0, 3, 0, 3, 3, 0], [0, 0, 0, 0, 0, 3, 0, 0, 3, 3, 0, 0, 3, 0, 0], [3, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 0, 0, 3, 0], [0, 3, 3, 0, 3, 3, 0, 0, 0, 0, 0, 0, 3, 3, 3], [0, 0, 0, 3, 3, 3, 3, 3, 0, 3, 3, 0, 0, 0, 0], [0, 3, 0, 0, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 3, 0, 0, 3, 3, 3, 3, 0, 3], [0, 3, 0, 3, 3, 3, 3, 0, 0, 0, 0, 0, 3, 3, 3], [0, 3, 0, 3, 0, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0], [3, 3, 3, 0, 0, 0, 3, 0, 0, 0, 0, 3, 0, 0, 0], [3, 0, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3], [3, 3, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3], [0, 3, 0, 3, 0, 0, 0, 0, 0, 3, 3, 3, 0, 0, 3], [6, 6, 6, 0, 0, 0, 6, 6, 0, 0, 6, 0, 6, 6, 6], [0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 0, 0, 6, 0, 0], [6, 6, 6, 0, 0, 6, 0, 0, 6, 0, 0, 0, 6, 0, 6], [6, 0, 6, 6, 6, 0, 6, 6, 6, 6, 0, 6, 0, 6, 6], [0, 0, 6, 0, 0, 0, 0, 6, 0, 0, 6, 6, 6, 6, 0], [0, 6, 6, 0, 0, 6, 0, 0, 0, 6, 6, 0, 0, 6, 6], [0, 6, 0, 0, 6, 0, 6, 0, 6, 6, 0, 0, 0, 6, 6], [6, 6, 6, 0, 6, 6, 6, 0, 6, 0, 0, 0, 0, 6, 0], [0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 6, 6, 0, 0, 6], [0, 6, 6, 0, 6, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 0, 0, 6, 6, 0, 6, 0, 0, 6, 6, 6], [0, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 0, 0, 0, 0], [0, 0, 0, 0, 6, 6, 6, 0, 6, 6, 0, 6, 6, 6, 0], [0, 0, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 0], [0, 0, 6, 6, 6, 6, 6, 0, 0, 6, 0, 0, 6, 0, 0]] -> [[9, 9, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 9, 0, 0, 0, 9, 0, 0, 9, 0, 0, 0, 9, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 9, 0, 0, 9, 0], [0, 9, 9, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 9, 9], [0, 0, 0, 0, 9, 0, 9, 0, 0, 9, 0, 0, 0, 0, 0], [0, 9, 0, 0, 9, 9, 9, 0, 9, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 9, 9, 0, 0, 9], [0, 9, 0, 0, 9, 9, 9, 0, 0, 0, 0, 0, 9, 9, 9], [0, 9, 0, 9, 0, 0, 0, 0, 0, 9, 0, 0, 9, 9, 0], [0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 9, 9, 9, 0, 9, 9, 0, 9, 9, 0, 0], [0, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 0, 0, 0], [0, 0, 0, 9, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 6, 6, 0, 0, 0, 6, 6, 0, 0, 6, 0, 6, 6, 6], [0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 0, 0, 6, 0, 0], [6, 6, 6, 0, 0, 6, 0, 0, 6, 0, 0, 0, 6, 0, 6], [6, 0, 6, 6, 6, 0, 6, 6, 6, 6, 0, 6, 0, 6, 6], [0, 0, 6, 0, 0, 0, 0, 6, 0, 0, 6, 6, 6, 6, 0], [0, 6, 6, 0, 0, 6, 0, 0, 0, 6, 6, 0, 0, 6, 6], [0, 6, 0, 0, 6, 0, 6, 0, 6, 6, 0, 0, 0, 6, 6], [6, 6, 6, 0, 6, 6, 6, 0, 6, 0, 0, 0, 0, 6, 0], [0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 6, 6, 0, 0, 6], [0, 6, 6, 0, 6, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 0, 0, 6, 6, 0, 6, 0, 0, 6, 6, 6], [0, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 0, 0, 0, 0], [0, 0, 0, 0, 6, 6, 6, 0, 6, 6, 0, 6, 6, 6, 0], [0, 0, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 0], [0, 0, 6, 6, 6, 6, 6, 0, 0, 6, 0, 0, 6, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            0,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6
+                        ],
+                        [
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6
+                        ],
+                        [
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0
+                        ],
+                        [
+                            0,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0,
+                            0,
+                            0,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0
+                        ]
+                    ],
+                    "output": [
+                        [
+                            9,
+                            9,
+                            9,
+                            0,
+                            0,
+                            0,
+                            9,
+                            9,
+                            0,
+                            0,
+                            9,
+                            0,
+                            9,
+                            9,
+                            9
+                        ],
+                        [
+                            0,
+                            9,
+                            9,
+                            0,
+                            0,
+                            9,
+                            9,
+                            0,
+                            9,
+                            0,
+                            0,
+                            0,
+                            9,
+                            0,
+                            0
+                        ],
+                        [
+                            9,
+                            9,
+                            9,
+                            0,
+                            0,
+                            9,
+                            0,
+                            0,
+                            9,
+                            0,
+                            0,
+                            0,
+                            9,
+                            0,
+                            9
+                        ],
+                        [
+                            9,
+                            0,
+                            9,
+                            9,
+                            9,
+                            0,
+                            9,
+                            9,
+                            9,
+                            9,
+                            0,
+                            9,
+                            0,
+                            9,
+                            9
+                        ],
+                        [
+                            0,
+                            0,
+                            9,
+                            0,
+                            0,
+                            0,
+                            0,
+                            9,
+                            0,
+                            0,
+                            9,
+                            9,
+                            9,
+                            9,
+                            0
+                        ],
+                        [
+                            0,
+                            9,
+                            9,
+                            0,
+                            0,
+                            9,
+                            0,
+                            0,
+                            0,
+                            9,
+                            9,
+                            0,
+                            0,
+                            9,
+                            9
+                        ],
+                        [
+                            0,
+                            9,
+                            0,
+                            0,
+                            9,
+                            0,
+                            9,
+                            0,
+                            9,
+                            9,
+                            0,
+                            0,
+                            0,
+                            9,
+                            9
+                        ],
+                        [
+                            9,
+                            9,
+                            9,
+                            0,
+                            9,
+                            9,
+                            9,
+                            0,
+                            9,
+                            0,
+                            0,
+                            0,
+                            0,
+                            9,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            9,
+                            9,
+                            9,
+                            9,
+                            0,
+                            9,
+                            9,
+                            0,
+                            0,
+                            9
+                        ],
+                        [
+                            0,
+                            9,
+                            9,
+                            0,
+                            9,
+                            9,
+                            9,
+                            0,
+                            0,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9
+                        ],
+                        [
+                            9,
+                            9,
+                            9,
+                            9,
+                            0,
+                            0,
+                            9,
+                            9,
+                            0,
+                            9,
+                            0,
+                            0,
+                            9,
+                            9,
+                            9
+                        ],
+                        [
+                            0,
+                            0,
+                            9,
+                            0,
+                            0,
+                            0,
+                            9,
+                            9,
+                            0,
+                            9,
+                            9,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            9,
+                            9,
+                            9,
+                            0,
+                            9,
+                            9,
+                            0,
+                            9,
+                            9,
+                            9,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            9,
+                            9,
+                            9,
+                            0,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            0,
+                            9,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            0,
+                            0,
+                            9,
+                            0,
+                            0,
+                            9,
+                            0,
+                            0
+                        ]
+                    ]
+                }
+            },
+            "Replicate 1": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[3, 3, 0, 0, 3, 0, 0, 3, 3, 0, 0, 0, 0, 3, 0], [0, 3, 3, 0, 3, 0, 0, 0, 3, 0, 3, 0, 0, 3, 0], [0, 3, 3, 3, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 0], [0, 3, 3, 0, 0, 3, 0, 0, 3, 3, 3, 3, 3, 3, 0], [3, 3, 0, 0, 3, 3, 0, 3, 3, 3, 0, 3, 0, 3, 3], [3, 3, 3, 0, 3, 0, 0, 0, 3, 3, 0, 0, 3, 3, 0], [3, 0, 3, 0, 3, 3, 0, 0, 3, 0, 3, 3, 3, 0, 3], [0, 0, 0, 0, 0, 3, 0, 0, 3, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 0, 0, 3, 3, 0, 3, 0, 3, 0, 0, 0], [3, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 3, 0, 3], [3, 3, 3, 0, 0, 0, 0, 3, 0, 3, 0, 3, 3, 0, 0], [3, 0, 3, 3, 3, 3, 3, 0, 3, 3, 0, 3, 0, 0, 3], [0, 0, 3, 0, 3, 3, 0, 3, 3, 3, 0, 3, 0, 3, 3], [0, 0, 3, 3, 0, 0, 3, 0, 3, 3, 0, 3, 0, 0, 3], [3, 3, 3, 3, 3, 3, 0, 3, 0, 0, 3, 0, 3, 0, 3], [0, 6, 0, 6, 6, 0, 0, 0, 6, 0, 6, 6, 6, 6, 6], [0, 6, 0, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 0], [6, 0, 6, 0, 0, 6, 6, 6, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 6, 0, 0, 6, 6, 6, 0, 0, 0, 0], [0, 6, 6, 6, 0, 6, 6, 0, 6, 6, 0, 0, 6, 0, 0], [0, 0, 6, 0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 6, 0], [0, 0, 6, 0, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 6], [6, 0, 0, 6, 6, 6, 6, 6, 0, 6, 0, 6, 6, 0, 0], [0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [6, 6, 6, 6, 0, 6, 0, 0, 6, 6, 6, 0, 0, 0, 6], [0, 0, 0, 6, 6, 0, 6, 0, 0, 6, 0, 0, 0, 0, 6], [0, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0], [0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 6, 6, 0, 0, 6], [6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6], [6, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 0, 6, 6, 0]] -> [[0, 9, 0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 0, 9, 0], [0, 9, 0, 0, 9, 0, 0, 0, 0, 0, 9, 0, 0, 9, 0], [0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 0, 0, 9, 0, 0], [0, 0, 0, 0, 0, 9, 0, 0, 9, 9, 9, 0, 0, 0, 0], [0, 9, 0, 0, 0, 9, 0, 0, 9, 9, 0, 0, 0, 0, 0], [0, 0, 9, 0, 0, 0, 0, 0, 9, 9, 0, 0, 9, 9, 0], [0, 0, 9, 0, 0, 9, 0, 0, 0, 0, 0, 9, 0, 0, 9], [0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 9, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0], [9, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0], [0, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 0, 0, 0, 0], [0, 0, 0, 0, 9, 0, 0, 0, 9, 9, 0, 9, 0, 0, 9], [0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 0, 9, 0, 0, 9], [9, 9, 0, 9, 9, 9, 0, 9, 0, 0, 0, 0, 9, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[3, 3, 0, 0, 3, 0, 0, 3, 3, 0, 0, 0, 0, 3, 0], [0, 3, 3, 0, 3, 0, 0, 0, 3, 0, 3, 0, 0, 3, 0], [0, 3, 3, 3, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 0], [0, 3, 3, 0, 0, 3, 0, 0, 3, 3, 3, 3, 3, 3, 0], [3, 3, 0, 0, 3, 3, 0, 3, 3, 3, 0, 3, 0, 3, 3], [3, 3, 3, 0, 3, 0, 0, 0, 3, 3, 0, 0, 3, 3, 0], [3, 0, 3, 0, 3, 3, 0, 0, 3, 0, 3, 3, 3, 0, 3], [0, 0, 0, 0, 0, 3, 0, 0, 3, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 0, 0, 3, 3, 0, 3, 0, 3, 0, 0, 0], [3, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 3, 0, 3], [3, 3, 3, 0, 0, 0, 0, 3, 0, 3, 0, 3, 3, 0, 0], [3, 0, 3, 3, 3, 3, 3, 0, 3, 3, 0, 3, 0, 0, 3], [0, 0, 3, 0, 3, 3, 0, 3, 3, 3, 0, 3, 0, 3, 3], [0, 0, 3, 3, 0, 0, 3, 0, 3, 3, 0, 3, 0, 0, 3], [3, 3, 3, 3, 3, 3, 0, 3, 0, 0, 3, 0, 3, 0, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[3, 3, 3, 0, 0, 3, 3, 0, 0, 0, 0, 3, 3, 3, 0], [0, 0, 0, 0, 0, 0, 3, 0, 0, 3, 3, 3, 0, 0, 0], [0, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 3, 0, 0], [3, 0, 3, 0, 3, 0, 0, 3, 0, 3, 3, 0, 3, 3, 3], [3, 0, 0, 3, 0, 3, 0, 3, 3, 3, 3, 0, 3, 3, 0], [3, 3, 3, 0, 3, 0, 3, 3, 3, 0, 3, 0, 0, 3, 0], [3, 0, 3, 0, 0, 3, 0, 0, 0, 0, 3, 0, 3, 3, 3], [3, 0, 3, 0, 0, 3, 0, 3, 0, 0, 3, 0, 3, 0, 3], [0, 3, 0, 0, 0, 3, 3, 3, 3, 0, 3, 3, 0, 3, 0], [0, 0, 3, 0, 3, 3, 3, 0, 0, 3, 0, 0, 3, 0, 3], [3, 3, 0, 0, 3, 0, 0, 3, 3, 0, 3, 0, 3, 3, 3], [3, 3, 3, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 3], [3, 0, 0, 0, 3, 0, 0, 3, 3, 3, 3, 3, 0, 0, 3], [3, 3, 0, 0, 0, 0, 3, 3, 3, 0, 3, 0, 0, 3, 0], [0, 0, 0, 3, 3, 0, 0, 3, 3, 3, 0, 0, 3, 0, 0], [0, 6, 6, 0, 6, 0, 0, 6, 6, 6, 6, 0, 6, 6, 6], [0, 0, 0, 6, 0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6], [0, 6, 0, 6, 0, 6, 0, 0, 6, 6, 6, 6, 0, 6, 0], [0, 0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 0, 6, 0, 6], [0, 0, 6, 6, 6, 6, 6, 0, 6, 6, 6, 6, 0, 6, 6], [6, 6, 0, 6, 6, 6, 6, 0, 6, 6, 0, 0, 6, 6, 6], [6, 0, 0, 6, 0, 0, 6, 0, 6, 6, 6, 0, 6, 6, 6], [0, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0], [6, 6, 6, 0, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0], [0, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 6], [0, 0, 0, 0, 6, 6, 0, 6, 0, 6, 0, 0, 0, 6, 0], [6, 0, 0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 6, 0], [6, 0, 6, 0, 0, 6, 6, 0, 0, 0, 6, 0, 6, 0, 0], [6, 6, 0, 6, 0, 6, 0, 6, 0, 6, 6, 0, 0, 6, 6], [0, 6, 0, 0, 6, 0, 0, 6, 6, 0, 6, 0, 6, 0, 0]] -> [[0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 0, 0, 0], [0, 9, 0, 0, 0, 9, 0, 0, 9, 9, 0, 0, 0, 0, 0], [0, 0, 9, 0, 9, 0, 0, 9, 0, 9, 9, 0, 9, 0, 9], [0, 0, 0, 9, 0, 9, 0, 0, 9, 9, 9, 0, 0, 9, 0], [9, 9, 0, 0, 9, 0, 9, 0, 9, 0, 0, 0, 0, 9, 0], [9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 9, 9, 9], [0, 0, 9, 0, 0, 9, 0, 9, 0, 0, 9, 0, 0, 0, 0], [0, 9, 0, 0, 0, 0, 9, 9, 9, 0, 9, 9, 0, 0, 0], [0, 0, 0, 0, 9, 9, 0, 0, 0, 9, 0, 0, 9, 0, 9], [0, 0, 0, 0, 9, 0, 0, 9, 0, 0, 0, 0, 0, 9, 0], [9, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0], [9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0], [9, 9, 0, 0, 0, 0, 0, 9, 0, 0, 9, 0, 0, 9, 0], [0, 0, 0, 0, 9, 0, 0, 9, 9, 0, 0, 0, 9, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[5, 5, 5, 0, 0, 5, 5, 0, 0, 0, 0, 5, 5, 5, 0], [0, 0, 0, 0, 0, 0, 5, 0, 0, 5, 5, 5, 0, 0, 0], [0, 5, 0, 0, 5, 5, 0, 0, 5, 5, 0, 0, 5, 0, 0], [5, 0, 5, 0, 5, 0, 0, 5, 0, 5, 5, 0, 5, 5, 5], [5, 0, 0, 5, 0, 5, 0, 5, 5, 5, 5, 0, 5, 5, 0], [5, 5, 5, 0, 5, 0, 5, 5, 5, 0, 5, 0, 0, 5, 0], [5, 0, 5, 0, 0, 5, 0, 0, 0, 0, 5, 0, 5, 5, 5], [5, 0, 5, 0, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 5], [0, 5, 0, 0, 0, 5, 5, 5, 5, 0, 5, 5, 0, 5, 0], [0, 0, 5, 0, 5, 5, 5, 0, 0, 5, 0, 0, 5, 0, 5], [5, 5, 0, 0, 5, 0, 0, 5, 5, 0, 5, 0, 5, 5, 5], [5, 5, 5, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 5], [5, 0, 0, 0, 5, 0, 0, 5, 5, 5, 5, 5, 0, 0, 5], [5, 5, 0, 0, 0, 0, 5, 5, 5, 0, 5, 0, 0, 5, 0], [0, 0, 0, 5, 5, 0, 0, 5, 5, 5, 0, 0, 5, 0, 0], [0, 6, 6, 0, 6, 0, 0, 6, 6, 6, 6, 0, 6, 6, 6], [0, 0, 0, 6, 0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6], [0, 6, 0, 6, 0, 6, 0, 0, 6, 6, 6, 6, 0, 6, 0], [0, 0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 0, 6, 0, 6], [0, 0, 6, 6, 6, 6, 6, 0, 6, 6, 6, 6, 0, 6, 6], [6, 6, 0, 6, 6, 6, 6, 0, 6, 6, 0, 0, 6, 6, 6], [6, 0, 0, 6, 0, 0, 6, 0, 6, 6, 6, 0, 6, 6, 6], [0, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0], [6, 6, 6, 0, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0], [0, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 6], [0, 0, 0, 0, 6, 6, 0, 6, 0, 6, 0, 0, 0, 6, 0], [6, 0, 0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 6, 0], [6, 0, 6, 0, 0, 6, 6, 0, 0, 0, 6, 0, 6, 0, 0], [6, 6, 0, 6, 0, 6, 0, 6, 0, 6, 6, 0, 0, 6, 6], [0, 6, 0, 0, 6, 0, 0, 6, 6, 0, 6, 0, 6, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            5,
+                            5,
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+                            0,
+                            0,
+                            5,
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+                            0,
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+                            5,
+                            5,
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+                            0
+                        ],
+                        [
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+                            0,
+                            0,
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+                            0,
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+                            0
+                        ],
+                        [
+                            0,
+                            5,
+                            0,
+                            0,
+                            5,
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+                            0,
+                            0,
+                            5,
+                            5,
+                            0,
+                            0,
+                            5,
+                            0,
+                            0
+                        ],
+                        [
+                            5,
+                            0,
+                            5,
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+                            5,
+                            0,
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+                            5,
+                            0,
+                            5,
+                            5,
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+                        ],
+                        [
+                            5,
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+                            5,
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+                            5,
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+                            5,
+                            5,
+                            5,
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+                            0,
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+                        ],
+                        [
+                            5,
+                            5,
+                            5,
+                            0,
+                            5,
+                            0,
+                            5,
+                            5,
+                            5,
+                            0,
+                            5,
+                            0,
+                            0,
+                            5,
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+                        ],
+                        [
+                            5,
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+                            0,
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+                        ],
+                        [
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+                        ],
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+                            0
+                        ],
+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        ],
+                        [
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+                            6,
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+                            6,
+                            6,
+                            0,
+                            6,
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+                        ],
+                        [
+                            6,
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+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6,
+                            6,
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+                        ],
+                        [
+                            6,
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+                            6,
+                            6,
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+                            0,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            0,
+                            0,
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+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0,
+                            6
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0
+                        ],
+                        [
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0
+                        ],
+                        [
+                            6,
+                            0,
+                            6,
+                            0,
+                            0,
+                            6,
+                            6,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0
+                        ],
+                        [
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
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+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0
+                        ]
+                    ],
+                    "output": [
+                        [
+                            0,
+                            9,
+                            9,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
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+                            9,
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+                        ],
+                        [
+                            0,
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+                            0,
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+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
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+                            9,
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+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            9,
+                            0,
+                            0,
+                            0,
+                            9,
+                            0,
+                            0,
+                            9,
+                            9,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
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+                            0,
+                            9,
+                            0,
+                            0,
+                            9,
+                            0,
+                            9,
+                            9,
+                            0,
+                            9,
+                            0,
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+                        ],
+                        [
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+                            0,
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+                            0,
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+                            0
+                        ],
+                        [
+                            9,
+                            9,
+                            0,
+                            0,
+                            9,
+                            0,
+                            9,
+                            0,
+                            9,
+                            0,
+                            0,
+                            0,
+                            0,
+                            9,
+                            0
+                        ],
+                        [
+                            9,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            9,
+                            0,
+                            9,
+                            9,
+                            9
+                        ],
+                        [
+                            0,
+                            0,
+                            9,
+                            0,
+                            0,
+                            9,
+                            0,
+                            9,
+                            0,
+                            0,
+                            9,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            9,
+                            0,
+                            0,
+                            0,
+                            0,
+                            9,
+                            9,
+                            9,
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+                            9,
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+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            9,
+                            9,
+                            0,
+                            0,
+                            0,
+                            9,
+                            0,
+                            0,
+                            9,
+                            0,
+                            9
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            9,
+                            0,
+                            0,
+                            9,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
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+                            0
+                        ],
+                        [
+                            9,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            9,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            9,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            9,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            9,
+                            9,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            9,
+                            0,
+                            0,
+                            9,
+                            0,
+                            0,
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+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            9,
+                            0,
+                            0,
+                            9,
+                            9,
+                            0,
+                            0,
+                            0,
+                            9,
+                            0,
+                            0
+                        ]
+                    ]
+                }
+            },
+            "Replicate 2": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[3, 0, 3, 3, 3, 0, 0, 3, 0, 3, 3, 0, 0, 0, 0], [0, 0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 3, 3, 0, 3], [0, 0, 0, 3, 3, 3, 0, 0, 0, 3, 0, 3, 3, 0, 3], [0, 3, 0, 3, 3, 3, 3, 0, 3, 3, 0, 0, 0, 3, 3], [3, 3, 0, 3, 3, 0, 0, 3, 0, 0, 0, 3, 0, 3, 3], [0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 3, 3, 3, 0], [0, 3, 0, 0, 3, 0, 0, 0, 3, 3, 3, 0, 3, 0, 3], [0, 0, 3, 0, 3, 0, 3, 0, 3, 0, 0, 0, 0, 3, 3], [3, 3, 0, 0, 0, 0, 0, 3, 0, 3, 3, 0, 0, 0, 3], [0, 0, 0, 0, 0, 0, 0, 3, 0, 3, 3, 3, 0, 0, 0], [0, 3, 0, 0, 0, 0, 3, 0, 3, 0, 3, 3, 3, 3, 0], [3, 3, 3, 3, 3, 0, 0, 3, 3, 0, 3, 0, 3, 3, 3], [3, 0, 0, 3, 0, 3, 0, 0, 3, 0, 0, 0, 0, 0, 0], [3, 0, 0, 3, 3, 3, 0, 0, 3, 3, 0, 3, 3, 0, 0], [0, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 3, 0, 0, 0], [6, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 0, 0, 0, 0], [6, 6, 0, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6, 6, 0], [6, 6, 0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 6, 0, 0], [6, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0], [0, 6, 6, 0, 6, 0, 6, 0, 6, 0, 0, 6, 6, 6, 0], [0, 6, 6, 0, 0, 6, 0, 0, 6, 0, 0, 0, 6, 6, 0], [6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 6], [0, 6, 6, 0, 6, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 6, 0, 6, 6, 0, 6, 6, 0, 0, 0, 0], [6, 0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0], [6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 0, 6, 6, 0, 6, 0, 6, 6, 6, 6, 6], [0, 0, 6, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 6, 0], [0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 0, 0]] -> [[9, 0, 9, 0, 9, 0, 0, 0, 0, 9, 9, 0, 0, 0, 0], [0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 9, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0], [9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 9, 0, 0, 0, 9, 0, 0, 9, 9, 9, 0], [0, 9, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 9, 0, 0], [0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9], [0, 9, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 9, 0, 9, 9, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 9, 0, 9, 0, 9, 9, 9, 0, 0], [9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 9, 0, 0, 9, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 9, 0, 0, 9, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [6, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 0, 0, 0, 0], [6, 6, 0, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6, 6, 0], [6, 6, 0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 6, 0, 0], [6, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0], [0, 6, 6, 0, 6, 0, 6, 0, 6, 0, 0, 6, 6, 6, 0], [0, 6, 6, 0, 0, 6, 0, 0, 6, 0, 0, 0, 6, 6, 0], [6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 6], [0, 6, 6, 0, 6, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 6, 0, 6, 6, 0, 6, 6, 0, 0, 0, 0], [6, 0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0], [6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 0, 6, 6, 0, 6, 0, 6, 6, 6, 6, 6], [0, 0, 6, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 6, 0], [0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 0, 0]] -> [[9, 0, 9, 0, 9, 9, 0, 0, 9, 9, 9, 0, 0, 0, 0], [9, 9, 0, 0, 0, 9, 0, 0, 0, 0, 9, 0, 9, 9, 0], [9, 9, 0, 0, 0, 0, 9, 0, 0, 0, 9, 9, 0, 0, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 9, 9, 0, 0], [9, 0, 9, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0], [0, 9, 9, 0, 9, 0, 9, 0, 9, 0, 0, 9, 9, 9, 0], [0, 9, 9, 0, 0, 9, 0, 0, 9, 0, 0, 0, 9, 9, 0], [9, 9, 9, 9, 0, 0, 0, 0, 0, 9, 9, 0, 0, 0, 9], [0, 9, 9, 0, 9, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0], [9, 0, 0, 0, 9, 0, 9, 9, 0, 9, 9, 0, 0, 0, 0], [9, 0, 9, 0, 9, 0, 9, 9, 9, 9, 9, 9, 9, 0, 0], [9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 9, 0, 0, 0, 9, 9, 0, 9, 0, 9, 9, 9, 9, 9], [0, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 0, 9, 0], [0, 0, 0, 0, 0, 9, 9, 0, 0, 9, 9, 0, 0, 0, 0]]\nExample input-output arrays:\n[[3, 3, 3, 0, 0, 3, 3, 0, 0, 0, 0, 3, 3, 3, 0], [0, 0, 0, 0, 0, 0, 3, 0, 0, 3, 3, 3, 0, 0, 0], [0, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 3, 0, 0], [3, 0, 3, 0, 3, 0, 0, 3, 0, 3, 3, 0, 3, 3, 3], [3, 0, 0, 3, 0, 3, 0, 3, 3, 3, 3, 0, 3, 3, 0], [3, 3, 3, 0, 3, 0, 3, 3, 3, 0, 3, 0, 0, 3, 0], [3, 0, 3, 0, 0, 3, 0, 0, 0, 0, 3, 0, 3, 3, 3], [3, 0, 3, 0, 0, 3, 0, 3, 0, 0, 3, 0, 3, 0, 3], [0, 3, 0, 0, 0, 3, 3, 3, 3, 0, 3, 3, 0, 3, 0], [0, 0, 3, 0, 3, 3, 3, 0, 0, 3, 0, 0, 3, 0, 3], [3, 3, 0, 0, 3, 0, 0, 3, 3, 0, 3, 0, 3, 3, 3], [3, 3, 3, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 3], [3, 0, 0, 0, 3, 0, 0, 3, 3, 3, 3, 3, 0, 0, 3], [3, 3, 0, 0, 0, 0, 3, 3, 3, 0, 3, 0, 0, 3, 0], [0, 0, 0, 3, 3, 0, 0, 3, 3, 3, 0, 0, 3, 0, 0], [0, 6, 6, 0, 6, 0, 0, 6, 6, 6, 6, 0, 6, 6, 6], [0, 0, 0, 6, 0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6], [0, 6, 0, 6, 0, 6, 0, 0, 6, 6, 6, 6, 0, 6, 0], [0, 0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 0, 6, 0, 6], [0, 0, 6, 6, 6, 6, 6, 0, 6, 6, 6, 6, 0, 6, 6], [6, 6, 0, 6, 6, 6, 6, 0, 6, 6, 0, 0, 6, 6, 6], [6, 0, 0, 6, 0, 0, 6, 0, 6, 6, 6, 0, 6, 6, 6], [0, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0], [6, 6, 6, 0, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0], [0, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 6], [0, 0, 0, 0, 6, 6, 0, 6, 0, 6, 0, 0, 0, 6, 0], [6, 0, 0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 6, 0], [6, 0, 6, 0, 0, 6, 6, 0, 0, 0, 6, 0, 6, 0, 0], [6, 6, 0, 6, 0, 6, 0, 6, 0, 6, 6, 0, 0, 6, 6], [0, 6, 0, 0, 6, 0, 0, 6, 6, 0, 6, 0, 6, 0, 0]] -> [[0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 0, 0, 0], [0, 9, 0, 0, 0, 9, 0, 0, 9, 9, 0, 0, 0, 0, 0], [0, 0, 9, 0, 9, 0, 0, 9, 0, 9, 9, 0, 9, 0, 9], [0, 0, 0, 9, 0, 9, 0, 0, 9, 9, 9, 0, 0, 9, 0], [9, 9, 0, 0, 9, 0, 9, 0, 9, 0, 0, 0, 0, 9, 0], [9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 9, 9, 9], [0, 0, 9, 0, 0, 9, 0, 9, 0, 0, 9, 0, 0, 0, 0], [0, 9, 0, 0, 0, 0, 9, 9, 9, 0, 9, 9, 0, 0, 0], [0, 0, 0, 0, 9, 9, 0, 0, 0, 9, 0, 0, 9, 0, 9], [0, 0, 0, 0, 9, 0, 0, 9, 0, 0, 0, 0, 0, 9, 0], [9, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0], [9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0], [9, 9, 0, 0, 0, 0, 0, 9, 0, 0, 9, 0, 0, 9, 0], [0, 0, 0, 0, 9, 0, 0, 9, 9, 0, 0, 0, 9, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[3, 3, 3, 0, 0, 3, 3, 0, 0, 0, 0, 3, 3, 3, 0], [0, 0, 0, 0, 0, 0, 3, 0, 0, 3, 3, 3, 0, 0, 0], [0, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 3, 0, 0], [3, 0, 3, 0, 3, 0, 0, 3, 0, 3, 3, 0, 3, 3, 3], [3, 0, 0, 3, 0, 3, 0, 3, 3, 3, 3, 0, 3, 3, 0], [3, 3, 3, 0, 3, 0, 3, 3, 3, 0, 3, 0, 0, 3, 0], [3, 0, 3, 0, 0, 3, 0, 0, 0, 0, 3, 0, 3, 3, 3], [3, 0, 3, 0, 0, 3, 0, 3, 0, 0, 3, 0, 3, 0, 3], [0, 3, 0, 0, 0, 3, 3, 3, 3, 0, 3, 3, 0, 3, 0], [0, 0, 3, 0, 3, 3, 3, 0, 0, 3, 0, 0, 3, 0, 3], [3, 3, 0, 0, 3, 0, 0, 3, 3, 0, 3, 0, 3, 3, 3], [3, 3, 3, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 3], [3, 0, 0, 0, 3, 0, 0, 3, 3, 3, 3, 3, 0, 0, 3], [3, 3, 0, 0, 0, 0, 3, 3, 3, 0, 3, 0, 0, 3, 0], [0, 0, 0, 3, 3, 0, 0, 3, 3, 3, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
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+            "Replicate 3": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[3, 0, 3, 0, 0, 0, 3, 3, 3, 3, 0, 0, 3, 0, 3], [0, 3, 3, 0, 3, 0, 3, 0, 0, 3, 3, 3, 0, 0, 0], [3, 3, 0, 3, 0, 0, 3, 3, 3, 0, 3, 3, 0, 3, 0], [0, 3, 3, 3, 0, 0, 3, 0, 0, 0, 0, 0, 3, 3, 3], [3, 3, 0, 3, 3, 0, 0, 0, 3, 0, 3, 0, 0, 3, 3], [3, 0, 3, 0, 0, 3, 3, 0, 3, 3, 3, 3, 3, 0, 0], [0, 3, 3, 0, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 3], [0, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0, 3, 0, 0, 0], [3, 0, 0, 0, 0, 0, 3, 0, 0, 3, 3, 0, 3, 3, 3], [0, 3, 0, 3, 3, 3, 3, 3, 3, 3, 0, 3, 0, 0, 3], [3, 3, 0, 0, 3, 0, 3, 3, 3, 0, 3, 0, 3, 3, 3], [0, 0, 3, 3, 3, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0], [3, 3, 0, 0, 0, 3, 0, 3, 0, 3, 0, 0, 0, 0, 3], [0, 0, 3, 3, 0, 3, 3, 0, 3, 0, 3, 3, 3, 0, 0], [3, 3, 3, 0, 0, 0, 3, 0, 3, 3, 3, 3, 3, 0, 3], [6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0], [6, 0, 0, 0, 0, 6, 6, 0, 6, 6, 6, 0, 6, 0, 6], [6, 0, 0, 6, 6, 0, 0, 6, 6, 6, 0, 0, 6, 6, 0], [0, 0, 0, 6, 0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 6], [6, 6, 0, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 6, 6], [6, 6, 0, 6, 0, 6, 0, 0, 6, 6, 0, 0, 0, 0, 0], [0, 6, 6, 6, 0, 0, 0, 0, 6, 0, 6, 6, 0, 0, 6], [6, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 0, 6, 6, 6], [6, 6, 6, 0, 6, 0, 0, 0, 6, 6, 0, 6, 0, 6, 6], [6, 0, 6, 6, 0, 6, 6, 0, 0, 0, 0, 6, 6, 6, 0], [6, 6, 0, 6, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6, 0], [6, 0, 6, 6, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 0], [6, 0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 0, 6], [0, 0, 6, 0, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0, 0], [6, 6, 0, 0, 0, 0, 6, 0, 0, 6, 6, 6, 0, 0, 0]] -> [[9, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 9, 0, 0, 9, 9, 0, 0, 0, 0], [9, 0, 0, 9, 0, 0, 0, 9, 9, 0, 0, 0, 0, 9, 0], [0, 0, 0, 9, 0, 0, 9, 0, 0, 0, 0, 0, 9, 0, 9], [9, 9, 0, 0, 9, 0, 0, 0, 9, 0, 9, 0, 0, 9, 9], [9, 0, 0, 0, 0, 9, 0, 0, 9, 9, 0, 0, 0, 0, 0], [0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9], [0, 0, 0, 0, 9, 9, 0, 0, 9, 9, 0, 0, 0, 0, 0], [9, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 9, 9], [0, 0, 0, 9, 0, 9, 9, 0, 0, 0, 0, 9, 0, 0, 0], [9, 9, 0, 0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 9, 0], [0, 0, 9, 9, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0], [9, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 9], [0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0], [9, 9, 0, 0, 0, 0, 9, 0, 0, 9, 9, 9, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[3, 0, 3, 0, 0, 0, 3, 3, 3, 3, 0, 0, 3, 0, 3], [0, 3, 3, 0, 3, 0, 3, 0, 0, 3, 3, 3, 0, 0, 0], [3, 3, 0, 3, 0, 0, 3, 3, 3, 0, 3, 3, 0, 3, 0], [0, 3, 3, 3, 0, 0, 3, 0, 0, 0, 0, 0, 3, 3, 3], [3, 3, 0, 3, 3, 0, 0, 0, 3, 0, 3, 0, 0, 3, 3], [3, 0, 3, 0, 0, 3, 3, 0, 3, 3, 3, 3, 3, 0, 0], [0, 3, 3, 0, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 3], [0, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0, 3, 0, 0, 0], [3, 0, 0, 0, 0, 0, 3, 0, 0, 3, 3, 0, 3, 3, 3], [0, 3, 0, 3, 3, 3, 3, 3, 3, 3, 0, 3, 0, 0, 3], [3, 3, 0, 0, 3, 0, 3, 3, 3, 0, 3, 0, 3, 3, 3], [0, 0, 3, 3, 3, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0], [3, 3, 0, 0, 0, 3, 0, 3, 0, 3, 0, 0, 0, 0, 3], [0, 0, 3, 3, 0, 3, 3, 0, 3, 0, 3, 3, 3, 0, 0], [3, 3, 3, 0, 0, 0, 3, 0, 3, 3, 3, 3, 3, 0, 3], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]] -> [[9, 0, 9, 0, 0, 0, 9, 9, 9, 9, 0, 0, 9, 0, 9], [0, 9, 9, 0, 9, 0, 9, 0, 0, 9, 9, 9, 0, 0, 0], [9, 9, 0, 9, 0, 0, 9, 9, 9, 0, 9, 9, 0, 9, 0], [0, 9, 9, 9, 0, 0, 9, 0, 0, 0, 0, 0, 9, 9, 9], [9, 9, 0, 9, 9, 0, 0, 0, 9, 0, 9, 0, 0, 9, 9], [9, 0, 9, 0, 0, 9, 9, 0, 9, 9, 9, 9, 9, 0, 0], [0, 9, 9, 0, 9, 9, 9, 9, 0, 0, 0, 0, 0, 0, 9], [0, 9, 0, 0, 9, 9, 0, 0, 9, 9, 0, 9, 0, 0, 0], [9, 0, 0, 0, 0, 0, 9, 0, 0, 9, 9, 0, 9, 9, 9], [0, 9, 0, 9, 9, 9, 9, 9, 9, 9, 0, 9, 0, 0, 9], [9, 9, 0, 0, 9, 0, 9, 9, 9, 0, 9, 0, 9, 9, 9], [0, 0, 9, 9, 9, 0, 0, 9, 9, 0, 0, 0, 0, 0, 0], [9, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 0, 0, 0, 9], [0, 0, 9, 9, 0, 9, 9, 0, 9, 0, 9, 9, 9, 0, 0], [9, 9, 9, 0, 0, 0, 9, 0, 9, 9, 9, 9, 9, 0, 9]]\nExample input-output arrays:\n[[3, 0, 3, 3, 3, 0, 0, 3, 0, 3, 3, 0, 0, 0, 0], [0, 0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 3, 3, 0, 3], [0, 0, 0, 3, 3, 3, 0, 0, 0, 3, 0, 3, 3, 0, 3], [0, 3, 0, 3, 3, 3, 3, 0, 3, 3, 0, 0, 0, 3, 3], [3, 3, 0, 3, 3, 0, 0, 3, 0, 0, 0, 3, 0, 3, 3], [0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 3, 3, 3, 0], [0, 3, 0, 0, 3, 0, 0, 0, 3, 3, 3, 0, 3, 0, 3], [0, 0, 3, 0, 3, 0, 3, 0, 3, 0, 0, 0, 0, 3, 3], [3, 3, 0, 0, 0, 0, 0, 3, 0, 3, 3, 0, 0, 0, 3], [0, 0, 0, 0, 0, 0, 0, 3, 0, 3, 3, 3, 0, 0, 0], [0, 3, 0, 0, 0, 0, 3, 0, 3, 0, 3, 3, 3, 3, 0], [3, 3, 3, 3, 3, 0, 0, 3, 3, 0, 3, 0, 3, 3, 3], [3, 0, 0, 3, 0, 3, 0, 0, 3, 0, 0, 0, 0, 0, 0], [3, 0, 0, 3, 3, 3, 0, 0, 3, 3, 0, 3, 3, 0, 0], [0, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 3, 0, 0, 0], [6, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 0, 0, 0, 0], [6, 6, 0, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6, 6, 0], [6, 6, 0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 6, 0, 0], [6, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0], [0, 6, 6, 0, 6, 0, 6, 0, 6, 0, 0, 6, 6, 6, 0], [0, 6, 6, 0, 0, 6, 0, 0, 6, 0, 0, 0, 6, 6, 0], [6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 6], [0, 6, 6, 0, 6, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 6, 0, 6, 6, 0, 6, 6, 0, 0, 0, 0], [6, 0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0], [6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 0, 6, 6, 0, 6, 0, 6, 6, 6, 6, 6], [0, 0, 6, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 6, 0], [0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 0, 0]] -> [[9, 0, 9, 0, 9, 0, 0, 0, 0, 9, 9, 0, 0, 0, 0], [0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 9, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0], [9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 9, 0, 0, 0, 9, 0, 0, 9, 9, 9, 0], [0, 9, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 9, 0, 0], [0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9], [0, 9, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 9, 0, 9, 9, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 9, 0, 9, 0, 9, 9, 9, 0, 0], [9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 9, 0, 0, 9, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 9, 0, 0, 9, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[8, 0, 8, 8, 8, 0, 0, 8, 0, 8, 8, 0, 0, 0, 0], [0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 8, 8, 0, 8], [0, 0, 0, 8, 8, 8, 0, 0, 0, 8, 0, 8, 8, 0, 8], [0, 8, 0, 8, 8, 8, 8, 0, 8, 8, 0, 0, 0, 8, 8], [8, 8, 0, 8, 8, 0, 0, 8, 0, 0, 0, 8, 0, 8, 8], [0, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 8, 8, 8, 0], [0, 8, 0, 0, 8, 0, 0, 0, 8, 8, 8, 0, 8, 0, 8], [0, 0, 8, 0, 8, 0, 8, 0, 8, 0, 0, 0, 0, 8, 8], [8, 8, 0, 0, 0, 0, 0, 8, 0, 8, 8, 0, 0, 0, 8], [0, 0, 0, 0, 0, 0, 0, 8, 0, 8, 8, 8, 0, 0, 0], [0, 8, 0, 0, 0, 0, 8, 0, 8, 0, 8, 8, 8, 8, 0], [8, 8, 8, 8, 8, 0, 0, 8, 8, 0, 8, 0, 8, 8, 8], [8, 0, 0, 8, 0, 8, 0, 0, 8, 0, 0, 0, 0, 0, 0], [8, 0, 0, 8, 8, 8, 0, 0, 8, 8, 0, 8, 8, 0, 0], [0, 0, 0, 8, 0, 0, 8, 0, 0, 8, 0, 8, 0, 0, 0], [6, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 0, 0, 0, 0], [6, 6, 0, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6, 6, 0], [6, 6, 0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 6, 0, 0], [6, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0], [0, 6, 6, 0, 6, 0, 6, 0, 6, 0, 0, 6, 6, 6, 0], [0, 6, 6, 0, 0, 6, 0, 0, 6, 0, 0, 0, 6, 6, 0], [6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 6], [0, 6, 6, 0, 6, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 6, 0, 6, 6, 0, 6, 6, 0, 0, 0, 0], [6, 0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0], [6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 0, 6, 6, 0, 6, 0, 6, 6, 6, 6, 6], [0, 0, 6, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 6, 0], [0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                            0,
+                            8,
+                            8,
+                            0,
+                            0,
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+                        ],
+                        [
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+                        [
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+                        [
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+                        [
+                            8,
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+                            0,
+                            8,
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                            6,
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+                        [
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+                            0,
+                            0,
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+                        [
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+                            0,
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+                        [
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+                            6,
+                            0,
+                            6,
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+                            6,
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+                        [
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+                            0,
+                            6,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0
+                        ]
+                    ],
+                    "output": [
+                        [
+                            9,
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+                            9,
+                            0,
+                            9,
+                            0,
+                            0,
+                            0,
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+                        [
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+                        [
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+                        ],
+                        [
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+                        [
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+                        [
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+                        [
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+                            0,
+                            0,
+                            0,
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+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            9,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            9
+                        ],
+                        [
+                            0,
+                            9,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            9,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            9,
+                            0,
+                            9,
+                            9,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            9,
+                            0,
+                            9,
+                            0,
+                            9,
+                            9,
+                            9,
+                            0,
+                            0
+                        ],
+                        [
+                            9,
+                            9,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            9,
+                            0,
+                            0,
+                            9,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            9,
+                            0,
+                            0,
+                            0,
+                            9,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            9,
+                            0,
+                            0,
+                            9,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ]
+                    ]
+                }
+            },
+            "Replicate 4": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[3, 3, 3, 0, 0, 3, 3, 0, 0, 0, 0, 3, 3, 3, 0], [0, 0, 0, 0, 0, 0, 3, 0, 0, 3, 3, 3, 0, 0, 0], [0, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 3, 0, 0], [3, 0, 3, 0, 3, 0, 0, 3, 0, 3, 3, 0, 3, 3, 3], [3, 0, 0, 3, 0, 3, 0, 3, 3, 3, 3, 0, 3, 3, 0], [3, 3, 3, 0, 3, 0, 3, 3, 3, 0, 3, 0, 0, 3, 0], [3, 0, 3, 0, 0, 3, 0, 0, 0, 0, 3, 0, 3, 3, 3], [3, 0, 3, 0, 0, 3, 0, 3, 0, 0, 3, 0, 3, 0, 3], [0, 3, 0, 0, 0, 3, 3, 3, 3, 0, 3, 3, 0, 3, 0], [0, 0, 3, 0, 3, 3, 3, 0, 0, 3, 0, 0, 3, 0, 3], [3, 3, 0, 0, 3, 0, 0, 3, 3, 0, 3, 0, 3, 3, 3], [3, 3, 3, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 3], [3, 0, 0, 0, 3, 0, 0, 3, 3, 3, 3, 3, 0, 0, 3], [3, 3, 0, 0, 0, 0, 3, 3, 3, 0, 3, 0, 0, 3, 0], [0, 0, 0, 3, 3, 0, 0, 3, 3, 3, 0, 0, 3, 0, 0], [0, 6, 6, 0, 6, 0, 0, 6, 6, 6, 6, 0, 6, 6, 6], [0, 0, 0, 6, 0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6], [0, 6, 0, 6, 0, 6, 0, 0, 6, 6, 6, 6, 0, 6, 0], [0, 0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 0, 6, 0, 6], [0, 0, 6, 6, 6, 6, 6, 0, 6, 6, 6, 6, 0, 6, 6], [6, 6, 0, 6, 6, 6, 6, 0, 6, 6, 0, 0, 6, 6, 6], [6, 0, 0, 6, 0, 0, 6, 0, 6, 6, 6, 0, 6, 6, 6], [0, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0], [6, 6, 6, 0, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0], [0, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 6], [0, 0, 0, 0, 6, 6, 0, 6, 0, 6, 0, 0, 0, 6, 0], [6, 0, 0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 6, 0], [6, 0, 6, 0, 0, 6, 6, 0, 0, 0, 6, 0, 6, 0, 0], [6, 6, 0, 6, 0, 6, 0, 6, 0, 6, 6, 0, 0, 6, 6], [0, 6, 0, 0, 6, 0, 0, 6, 6, 0, 6, 0, 6, 0, 0]] -> [[0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 0, 0, 0], [0, 9, 0, 0, 0, 9, 0, 0, 9, 9, 0, 0, 0, 0, 0], [0, 0, 9, 0, 9, 0, 0, 9, 0, 9, 9, 0, 9, 0, 9], [0, 0, 0, 9, 0, 9, 0, 0, 9, 9, 9, 0, 0, 9, 0], [9, 9, 0, 0, 9, 0, 9, 0, 9, 0, 0, 0, 0, 9, 0], [9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 9, 9, 9], [0, 0, 9, 0, 0, 9, 0, 9, 0, 0, 9, 0, 0, 0, 0], [0, 9, 0, 0, 0, 0, 9, 9, 9, 0, 9, 9, 0, 0, 0], [0, 0, 0, 0, 9, 9, 0, 0, 0, 9, 0, 0, 9, 0, 9], [0, 0, 0, 0, 9, 0, 0, 9, 0, 0, 0, 0, 0, 9, 0], [9, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0], [9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0], [9, 9, 0, 0, 0, 0, 0, 9, 0, 0, 9, 0, 0, 9, 0], [0, 0, 0, 0, 9, 0, 0, 9, 9, 0, 0, 0, 9, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0], [0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0], [0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0], [1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1], [1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0], [1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0], [1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1], [1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1], [0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0], [0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1], [1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1], [1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1], [1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1], [1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0], [0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0], [0, 6, 6, 0, 6, 0, 0, 6, 6, 6, 6, 0, 6, 6, 6], [0, 0, 0, 6, 0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6], [0, 6, 0, 6, 0, 6, 0, 0, 6, 6, 6, 6, 0, 6, 0], [0, 0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 0, 6, 0, 6], [0, 0, 6, 6, 6, 6, 6, 0, 6, 6, 6, 6, 0, 6, 6], [6, 6, 0, 6, 6, 6, 6, 0, 6, 6, 0, 0, 6, 6, 6], [6, 0, 0, 6, 0, 0, 6, 0, 6, 6, 6, 0, 6, 6, 6], [0, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0], [6, 6, 6, 0, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0], [0, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 6], [0, 0, 0, 0, 6, 6, 0, 6, 0, 6, 0, 0, 0, 6, 0], [6, 0, 0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 6, 0], [6, 0, 6, 0, 0, 6, 6, 0, 0, 0, 6, 0, 6, 0, 0], [6, 6, 0, 6, 0, 6, 0, 6, 0, 6, 6, 0, 0, 6, 6], [0, 6, 0, 0, 6, 0, 0, 6, 6, 0, 6, 0, 6, 0, 0]] -> [[0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 0, 0, 0], [0, 9, 0, 0, 0, 9, 0, 0, 9, 9, 0, 0, 0, 0, 0], [0, 0, 9, 0, 9, 0, 0, 9, 0, 9, 9, 0, 9, 0, 9], [0, 0, 0, 9, 0, 9, 0, 0, 9, 9, 9, 0, 0, 9, 0], [9, 9, 0, 0, 9, 0, 9, 0, 9, 0, 0, 0, 0, 9, 0], [9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 9, 9, 9], [0, 0, 9, 0, 0, 9, 0, 9, 0, 0, 9, 0, 0, 0, 0], [0, 9, 0, 0, 0, 0, 9, 9, 9, 0, 9, 9, 0, 0, 0], [0, 0, 0, 0, 9, 9, 0, 0, 0, 9, 0, 0, 9, 0, 9], [0, 0, 0, 0, 9, 0, 0, 9, 0, 0, 0, 0, 0, 9, 0], [9, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0], [9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0], [9, 9, 0, 0, 0, 0, 0, 9, 0, 0, 9, 0, 0, 9, 0], [0, 0, 0, 0, 9, 0, 0, 9, 9, 0, 0, 0, 9, 0, 0]]\nExample input-output arrays:\n[[3, 0, 3, 0, 0, 0, 3, 3, 3, 3, 0, 0, 3, 0, 3], [0, 3, 3, 0, 3, 0, 3, 0, 0, 3, 3, 3, 0, 0, 0], [3, 3, 0, 3, 0, 0, 3, 3, 3, 0, 3, 3, 0, 3, 0], [0, 3, 3, 3, 0, 0, 3, 0, 0, 0, 0, 0, 3, 3, 3], [3, 3, 0, 3, 3, 0, 0, 0, 3, 0, 3, 0, 0, 3, 3], [3, 0, 3, 0, 0, 3, 3, 0, 3, 3, 3, 3, 3, 0, 0], [0, 3, 3, 0, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 3], [0, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0, 3, 0, 0, 0], [3, 0, 0, 0, 0, 0, 3, 0, 0, 3, 3, 0, 3, 3, 3], [0, 3, 0, 3, 3, 3, 3, 3, 3, 3, 0, 3, 0, 0, 3], [3, 3, 0, 0, 3, 0, 3, 3, 3, 0, 3, 0, 3, 3, 3], [0, 0, 3, 3, 3, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0], [3, 3, 0, 0, 0, 3, 0, 3, 0, 3, 0, 0, 0, 0, 3], [0, 0, 3, 3, 0, 3, 3, 0, 3, 0, 3, 3, 3, 0, 0], [3, 3, 3, 0, 0, 0, 3, 0, 3, 3, 3, 3, 3, 0, 3], [6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0], [6, 0, 0, 0, 0, 6, 6, 0, 6, 6, 6, 0, 6, 0, 6], [6, 0, 0, 6, 6, 0, 0, 6, 6, 6, 0, 0, 6, 6, 0], [0, 0, 0, 6, 0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 6], [6, 6, 0, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 6, 6], [6, 6, 0, 6, 0, 6, 0, 0, 6, 6, 0, 0, 0, 0, 0], [0, 6, 6, 6, 0, 0, 0, 0, 6, 0, 6, 6, 0, 0, 6], [6, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 0, 6, 6, 6], [6, 6, 6, 0, 6, 0, 0, 0, 6, 6, 0, 6, 0, 6, 6], [6, 0, 6, 6, 0, 6, 6, 0, 0, 0, 0, 6, 6, 6, 0], [6, 6, 0, 6, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6, 0], [6, 0, 6, 6, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 0], [6, 0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 0, 6], [0, 0, 6, 0, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0, 0], [6, 6, 0, 0, 0, 0, 6, 0, 0, 6, 6, 6, 0, 0, 0]] -> [[9, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 9, 0, 0, 9, 9, 0, 0, 0, 0], [9, 0, 0, 9, 0, 0, 0, 9, 9, 0, 0, 0, 0, 9, 0], [0, 0, 0, 9, 0, 0, 9, 0, 0, 0, 0, 0, 9, 0, 9], [9, 9, 0, 0, 9, 0, 0, 0, 9, 0, 9, 0, 0, 9, 9], [9, 0, 0, 0, 0, 9, 0, 0, 9, 9, 0, 0, 0, 0, 0], [0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9], [0, 0, 0, 0, 9, 9, 0, 0, 9, 9, 0, 0, 0, 0, 0], [9, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 9, 9], [0, 0, 0, 9, 0, 9, 9, 0, 0, 0, 0, 9, 0, 0, 0], [9, 9, 0, 0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 9, 0], [0, 0, 9, 9, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0], [9, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 9], [0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0], [9, 9, 0, 0, 0, 0, 9, 0, 0, 9, 9, 9, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1], [0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0], [1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0], [0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1], [1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1], [1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0], [0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1], [0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0], [1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1], [0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1], [1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1], [0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0], [1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1], [0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0], [1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1], [6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0], [6, 0, 0, 0, 0, 6, 6, 0, 6, 6, 6, 0, 6, 0, 6], [6, 0, 0, 6, 6, 0, 0, 6, 6, 6, 0, 0, 6, 6, 0], [0, 0, 0, 6, 0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 6], [6, 6, 0, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 6, 6], [6, 6, 0, 6, 0, 6, 0, 0, 6, 6, 0, 0, 0, 0, 0], [0, 6, 6, 6, 0, 0, 0, 0, 6, 0, 6, 6, 0, 0, 6], [6, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 0, 6, 6, 6], [6, 6, 6, 0, 6, 0, 0, 0, 6, 6, 0, 6, 0, 6, 6], [6, 0, 6, 6, 0, 6, 6, 0, 0, 0, 0, 6, 6, 6, 0], [6, 6, 0, 6, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6, 0], [6, 0, 6, 6, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 0], [6, 0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 0, 6], [0, 0, 6, 0, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0, 0], [6, 6, 0, 0, 0, 0, 6, 0, 0, 6, 6, 6, 0, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            1,
+                            0,
+                            1,
+                            0,
+                            0,
+                            0,
+                            1,
+                            1,
+                            1,
+                            1,
+                            0,
+                            0,
+                            1,
+                            0,
+                            1
+                        ],
+                        [
+                            0,
+                            1,
+                            1,
+                            0,
+                            1,
+                            0,
+                            1,
+                            0,
+                            0,
+                            1,
+                            1,
+                            1,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            1,
+                            1,
+                            0,
+                            1,
+                            0,
+                            0,
+                            1,
+                            1,
+                            1,
+                            0,
+                            1,
+                            1,
+                            0,
+                            1,
+                            0
+                        ],
+                        [
+                            0,
+                            1,
+                            1,
+                            1,
+                            0,
+                            0,
+                            1,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            1,
+                            1,
+                            1
+                        ],
+                        [
+                            1,
+                            1,
+                            0,
+                            1,
+                            1,
+                            0,
+                            0,
+                            0,
+                            1,
+                            0,
+                            1,
+                            0,
+                            0,
+                            1,
+                            1
+                        ],
+                        [
+                            1,
+                            0,
+                            1,
+                            0,
+                            0,
+                            1,
+                            1,
+                            0,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            1,
+                            1,
+                            0,
+                            1,
+                            1,
+                            1,
+                            1,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            1
+                        ],
+                        [
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+                            0,
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+                            1,
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+                            0,
+                            1,
+                            1,
+                            0,
+                            1,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            1,
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+                            0,
+                            0,
+                            0,
+                            0,
+                            1,
+                            0,
+                            0,
+                            1,
+                            1,
+                            0,
+                            1,
+                            1,
+                            1
+                        ],
+                        [
+                            0,
+                            1,
+                            0,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            0,
+                            1,
+                            0,
+                            0,
+                            1
+                        ],
+                        [
+                            1,
+                            1,
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+                            0,
+                            1,
+                            0,
+                            1,
+                            1,
+                            1,
+                            0,
+                            1,
+                            0,
+                            1,
+                            1,
+                            1
+                        ],
+                        [
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+                            0,
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+                            1,
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+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            1,
+                            1,
+                            0,
+                            0,
+                            0,
+                            1,
+                            0,
+                            1,
+                            0,
+                            1,
+                            0,
+                            0,
+                            0,
+                            0,
+                            1
+                        ],
+                        [
+                            0,
+                            0,
+                            1,
+                            1,
+                            0,
+                            1,
+                            1,
+                            0,
+                            1,
+                            0,
+                            1,
+                            1,
+                            1,
+                            0,
+                            0
+                        ],
+                        [
+                            1,
+                            1,
+                            1,
+                            0,
+                            0,
+                            0,
+                            1,
+                            0,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            0,
+                            1
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0
+                        ],
+                        [
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
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+                    ],
+                    "output": [
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+                }
+            }
+        }
+    },
+    "SCMdky5!and!20x20": {
+        "L1": {
+            "Replicate 0": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[7, 0, 7, 7, 7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 7, 7], [7, 0, 7, 7, 7, 7, 0, 7, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7, 7, 7], [0, 7, 7, 0, 0, 0, 7, 0, 0, 7, 0, 0, 7, 7, 7, 7, 7, 7, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 7, 0, 0, 7, 7, 7, 0], [0, 7, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7, 7, 0, 7, 7, 0, 7, 7], [7, 0, 7, 7, 0, 0, 0, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 0], [0, 7, 7, 7, 7, 7, 7, 7, 0, 0, 0, 7, 7, 7, 0, 7, 7, 7, 0, 0], [7, 0, 0, 7, 7, 0, 7, 7, 7, 7, 0, 0, 7, 0, 7, 7, 0, 7, 7, 7], [7, 0, 0, 7, 7, 7, 0, 7, 7, 0, 0, 7, 7, 7, 0, 0, 0, 7, 0, 0], [0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0], [7, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 0, 0, 7, 7, 7, 0, 0, 0], [7, 7, 0, 7, 0, 7, 0, 0, 7, 7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 7], [0, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 7, 7, 0], [0, 7, 7, 0, 0, 7, 7, 7, 0, 7, 0, 7, 7, 7, 7, 0, 0, 7, 0, 7], [0, 7, 7, 0, 0, 7, 7, 7, 7, 7, 7, 0, 0, 0, 7, 7, 0, 0, 7, 7], [0, 7, 7, 7, 0, 7, 7, 0, 0, 0, 7, 7, 0, 7, 0, 7, 7, 7, 7, 0], [0, 7, 7, 7, 7, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 7, 0, 0, 0, 0], [0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 0, 7, 7, 0, 0, 7, 0, 7, 7, 0], [0, 7, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7, 0, 7, 0, 7, 7, 0, 7], [7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 0, 7], [0, 0, 0, 8, 8, 8, 8, 0, 8, 8, 0, 8, 0, 0, 0, 0, 8, 0, 8, 0], [0, 0, 0, 8, 0, 8, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 0, 0, 8, 8], [8, 8, 8, 8, 0, 0, 8, 0, 8, 0, 0, 0, 0, 0, 8, 8, 0, 0, 0, 8], [8, 8, 0, 0, 8, 8, 0, 8, 8, 0, 8, 0, 0, 8, 8, 0, 8, 0, 0, 0], [0, 8, 0, 8, 0, 8, 0, 0, 8, 0, 8, 0, 0, 8, 8, 0, 8, 8, 0, 8], [0, 0, 8, 0, 8, 8, 0, 0, 0, 0, 8, 8, 0, 8, 8, 8, 0, 0, 0, 0], [8, 0, 8, 8, 8, 8, 0, 0, 8, 8, 8, 0, 0, 0, 8, 0, 0, 0, 0, 8], [8, 0, 8, 0, 8, 0, 8, 8, 8, 8, 8, 0, 0, 0, 8, 0, 8, 0, 8, 8], [0, 0, 8, 8, 0, 8, 0, 8, 8, 0, 0, 8, 0, 8, 8, 8, 8, 8, 0, 8], [0, 8, 0, 8, 0, 8, 0, 0, 8, 8, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0], [8, 0, 0, 0, 8, 8, 0, 8, 8, 8, 8, 0, 8, 8, 0, 0, 8, 0, 0, 0], [8, 8, 8, 8, 0, 0, 8, 8, 0, 0, 8, 0, 8, 8, 0, 8, 0, 0, 8, 0], [8, 8, 8, 0, 0, 8, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 0, 8, 0, 0], [0, 8, 0, 8, 8, 0, 0, 8, 0, 0, 8, 8, 0, 8, 0, 0, 0, 8, 8, 0], [8, 8, 0, 8, 8, 0, 8, 0, 0, 0, 0, 0, 8, 8, 0, 8, 0, 0, 0, 8], [0, 0, 8, 8, 8, 0, 8, 0, 8, 8, 0, 0, 8, 0, 8, 0, 0, 0, 8, 8], [8, 0, 8, 0, 0, 0, 8, 0, 8, 8, 0, 0, 0, 0, 8, 8, 0, 0, 0, 8], [0, 8, 0, 8, 0, 8, 0, 0, 8, 8, 0, 8, 0, 0, 8, 8, 8, 0, 8, 0], [0, 8, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 8, 8, 8, 0, 8, 0, 0, 8], [0, 8, 8, 0, 8, 0, 0, 8, 0, 0, 8, 0, 8, 8, 8, 0, 8, 8, 8, 8]] -> [[0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0], [0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1], [0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0], [0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1], [0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0], [0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1], [0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0], [0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0], [1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0], [0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0], [0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1], [0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0], [0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0], [0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1], [0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1]]\nExample input-output arrays:\n[[7, 0, 0, 0, 7, 0, 0, 7, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7], [7, 7, 0, 0, 0, 7, 7, 0, 0, 7, 7, 7, 0, 7, 7, 0, 7, 7, 7, 0], [7, 0, 7, 0, 0, 7, 7, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0], [7, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 7, 0], [0, 7, 7, 7, 7, 0, 0, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 7, 7], [0, 0, 7, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 7, 0, 0], [7, 7, 0, 7, 7, 0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 7, 0, 7], [0, 0, 7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0], [7, 7, 0, 0, 7, 7, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 7, 0], [7, 7, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 0, 7, 0, 7, 0, 0], [0, 0, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 7], [0, 0, 0, 7, 7, 7, 7, 7, 0, 0, 0, 7, 0, 0, 0, 7, 7, 7, 0, 7], [0, 0, 7, 7, 0, 0, 7, 0, 0, 7, 0, 0, 0, 7, 7, 0, 7, 7, 7, 0], [7, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0], [7, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7, 0, 7, 0, 7, 7], [7, 7, 7, 7, 0, 7, 0, 7, 7, 7, 7, 0, 7, 0, 0, 0, 7, 7, 7, 7], [0, 0, 0, 0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 7, 0, 7, 7, 7], [7, 0, 7, 0, 7, 7, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7], [7, 7, 7, 7, 7, 0, 0, 7, 0, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0, 7], [0, 7, 7, 7, 7, 7, 0, 7, 7, 0, 0, 0, 7, 0, 0, 7, 7, 7, 7, 0], [8, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 8, 0, 8, 8, 8, 8, 8, 0], [0, 0, 0, 0, 0, 8, 8, 8, 8, 8, 8, 0, 8, 0, 0, 8, 8, 8, 0, 0], [0, 8, 0, 0, 0, 8, 0, 0, 8, 0, 0, 8, 0, 0, 0, 0, 0, 8, 8, 0], [8, 8, 0, 8, 8, 0, 0, 0, 8, 8, 0, 8, 0, 0, 0, 8, 0, 8, 8, 8], [0, 0, 8, 0, 0, 0, 0, 0, 8, 0, 0, 8, 0, 8, 8, 8, 8, 8, 8, 8], [8, 8, 0, 8, 8, 8, 0, 8, 8, 8, 8, 0, 8, 0, 8, 8, 0, 0, 0, 0], [0, 0, 8, 8, 8, 0, 0, 8, 0, 8, 0, 0, 0, 0, 8, 0, 8, 8, 8, 8], [8, 8, 8, 0, 0, 0, 0, 8, 0, 8, 0, 8, 0, 0, 0, 8, 8, 0, 0, 0], [8, 0, 8, 8, 8, 0, 0, 0, 8, 0, 0, 8, 8, 0, 8, 0, 0, 0, 8, 8], [8, 8, 8, 8, 0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 8, 0, 0, 0], [8, 0, 8, 8, 8, 0, 8, 0, 8, 8, 8, 8, 8, 0, 8, 8, 0, 8, 0, 0], [8, 8, 8, 0, 0, 0, 8, 8, 8, 8, 0, 0, 0, 0, 8, 8, 8, 8, 0, 8], [8, 8, 8, 8, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 8, 0, 0, 8, 8, 0], [8, 8, 8, 0, 8, 8, 8, 8, 0, 0, 0, 0, 8, 0, 8, 8, 0, 8, 8, 8], [0, 8, 8, 8, 0, 0, 0, 8, 0, 0, 8, 8, 0, 8, 0, 0, 8, 0, 0, 0], [0, 8, 8, 8, 0, 0, 0, 8, 8, 8, 8, 8, 0, 8, 0, 8, 8, 8, 0, 8], [0, 0, 8, 0, 8, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 8, 8, 0, 0, 8], [0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 0, 0, 8, 0, 8, 0, 0, 8, 0, 8], [8, 8, 0, 8, 8, 0, 8, 8, 8, 8, 8, 0, 0, 0, 8, 8, 8, 8, 0, 0], [0, 0, 8, 8, 0, 0, 0, 0, 8, 8, 8, 8, 0, 8, 8, 0, 0, 8, 0, 0]] -> [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0], [0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0], [0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0], [1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0], [0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1], [0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1], [0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0], [1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1], [0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0], [1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0], [0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1], [0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1], [0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1], [1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0]]\nExample input-output arrays:\n[[7, 0, 0, 0, 7, 0, 0, 7, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7], [7, 7, 0, 0, 0, 7, 7, 0, 0, 7, 7, 7, 0, 7, 7, 0, 7, 7, 7, 0], [7, 0, 7, 0, 0, 7, 7, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0], [7, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 7, 0], [0, 7, 7, 7, 7, 0, 0, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 7, 7], [0, 0, 7, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 7, 0, 0], [7, 7, 0, 7, 7, 0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 7, 0, 7], [0, 0, 7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0], [7, 7, 0, 0, 7, 7, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 7, 0], [7, 7, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 0, 7, 0, 7, 0, 0], [0, 0, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 7], [0, 0, 0, 7, 7, 7, 7, 7, 0, 0, 0, 7, 0, 0, 0, 7, 7, 7, 0, 7], [0, 0, 7, 7, 0, 0, 7, 0, 0, 7, 0, 0, 0, 7, 7, 0, 7, 7, 7, 0], [7, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0], [7, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7, 0, 7, 0, 7, 7], [7, 7, 7, 7, 0, 7, 0, 7, 7, 7, 7, 0, 7, 0, 0, 0, 7, 7, 7, 7], [0, 0, 0, 0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 7, 0, 7, 7, 7], [7, 0, 7, 0, 7, 7, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7], [7, 7, 7, 7, 7, 0, 0, 7, 0, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0, 7], [0, 7, 7, 7, 7, 7, 0, 7, 7, 0, 0, 0, 7, 0, 0, 7, 7, 7, 7, 0], [8, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 8, 0, 8, 8, 8, 8, 8, 0], [0, 0, 0, 0, 0, 8, 8, 8, 8, 8, 8, 0, 8, 0, 0, 8, 8, 8, 0, 0], [0, 8, 0, 0, 0, 8, 0, 0, 8, 0, 0, 8, 0, 0, 0, 0, 0, 8, 8, 0], [8, 8, 0, 8, 8, 0, 0, 0, 8, 8, 0, 8, 0, 0, 0, 8, 0, 8, 8, 8], [0, 0, 8, 0, 0, 0, 0, 0, 8, 0, 0, 8, 0, 8, 8, 8, 8, 8, 8, 8], [8, 8, 0, 8, 8, 8, 0, 8, 8, 8, 8, 0, 8, 0, 8, 8, 0, 0, 0, 0], [0, 0, 8, 8, 8, 0, 0, 8, 0, 8, 0, 0, 0, 0, 8, 0, 8, 8, 8, 8], [8, 8, 8, 0, 0, 0, 0, 8, 0, 8, 0, 8, 0, 0, 0, 8, 8, 0, 0, 0], [8, 0, 8, 8, 8, 0, 0, 0, 8, 0, 0, 8, 8, 0, 8, 0, 0, 0, 8, 8], [8, 8, 8, 8, 0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 8, 0, 0, 0], [8, 0, 8, 8, 8, 0, 8, 0, 8, 8, 8, 8, 8, 0, 8, 8, 0, 8, 0, 0], [8, 8, 8, 0, 0, 0, 8, 8, 8, 8, 0, 0, 0, 0, 8, 8, 8, 8, 0, 8], [8, 8, 8, 8, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 8, 0, 0, 8, 8, 0], [8, 8, 8, 0, 8, 8, 8, 8, 0, 0, 0, 0, 8, 0, 8, 8, 0, 8, 8, 8], [0, 8, 8, 8, 0, 0, 0, 8, 0, 0, 8, 8, 0, 8, 0, 0, 8, 0, 0, 0], [0, 8, 8, 8, 0, 0, 0, 8, 8, 8, 8, 8, 0, 8, 0, 8, 8, 8, 0, 8], [0, 0, 8, 0, 8, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 8, 8, 0, 0, 8], [0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 0, 0, 8, 0, 8, 0, 0, 8, 0, 8], [8, 8, 0, 8, 8, 0, 8, 8, 8, 8, 8, 0, 0, 0, 8, 8, 8, 8, 0, 0], [0, 0, 8, 8, 0, 0, 0, 0, 8, 8, 8, 8, 0, 8, 8, 0, 0, 8, 0, 0]] -> [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0], [0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0], [0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0], [1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0], [0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1], [0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1], [0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0], [1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1], [0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0], [1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0], [0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1], [0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1], [0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1], [1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[7, 0, 0, 0, 7, 0, 0, 7, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7], [7, 7, 0, 0, 0, 7, 7, 0, 0, 7, 7, 7, 0, 7, 7, 0, 7, 7, 7, 0], [7, 0, 7, 0, 0, 7, 7, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0], [7, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 7, 0], [0, 7, 7, 7, 7, 0, 0, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 7, 7], [0, 0, 7, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 7, 0, 0], [7, 7, 0, 7, 7, 0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 7, 0, 7], [0, 0, 7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0], [7, 7, 0, 0, 7, 7, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 7, 0], [7, 7, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 0, 7, 0, 7, 0, 0], [0, 0, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 7], [0, 0, 0, 7, 7, 7, 7, 7, 0, 0, 0, 7, 0, 0, 0, 7, 7, 7, 0, 7], [0, 0, 7, 7, 0, 0, 7, 0, 0, 7, 0, 0, 0, 7, 7, 0, 7, 7, 7, 0], [7, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0], [7, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7, 0, 7, 0, 7, 7], [7, 7, 7, 7, 0, 7, 0, 7, 7, 7, 7, 0, 7, 0, 0, 0, 7, 7, 7, 7], [0, 0, 0, 0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 7, 0, 7, 7, 7], [7, 0, 7, 0, 7, 7, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7], [7, 7, 7, 7, 7, 0, 0, 7, 0, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0, 7], [0, 7, 7, 7, 7, 7, 0, 7, 7, 0, 0, 0, 7, 0, 0, 7, 7, 7, 7, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            7,
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+            },
+            "Replicate 1": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 0, 7, 0, 7, 0], [7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 7, 0, 0, 7, 0, 7, 0, 0, 7, 7], [7, 0, 0, 0, 7, 7, 7, 0, 7, 7, 7, 0, 7, 0, 0, 7, 0, 0, 7, 0], [0, 0, 0, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0], [7, 7, 7, 0, 0, 7, 7, 7, 0, 0, 7, 0, 0, 0, 0, 7, 7, 7, 7, 7], [7, 0, 0, 0, 7, 7, 0, 7, 0, 0, 7, 7, 7, 7, 7, 0, 7, 0, 7, 7], [7, 7, 0, 0, 0, 7, 0, 0, 7, 0, 0, 7, 7, 7, 0, 7, 7, 7, 0, 0], [7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0, 7, 7, 0, 0], [7, 0, 0, 0, 0, 7, 7, 0, 0, 7, 0, 0, 7, 7, 7, 0, 0, 0, 7, 7], [0, 7, 7, 7, 0, 0, 7, 0, 0, 0, 7, 7, 0, 0, 0, 0, 7, 7, 7, 0], [7, 0, 7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7], [7, 0, 7, 7, 0, 0, 7, 7, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0], [0, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7, 0, 7, 0, 0, 0, 0, 7, 7, 0], [7, 0, 0, 7, 7, 0, 0, 7, 7, 7, 0, 0, 7, 0, 0, 7, 0, 7, 7, 0], [7, 0, 7, 0, 7, 0, 0, 7, 7, 0, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7], [7, 0, 0, 0, 7, 0, 7, 0, 7, 7, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0], [7, 7, 0, 7, 0, 7, 7, 0, 0, 7, 0, 0, 0, 7, 0, 0, 7, 7, 0, 0], [0, 7, 0, 0, 7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 7, 7, 0, 0, 7, 7], [0, 7, 7, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 0], [0, 8, 8, 0, 0, 0, 8, 0, 8, 0, 8, 8, 0, 8, 0, 0, 0, 0, 8, 8], [8, 0, 0, 0, 8, 8, 8, 0, 0, 8, 8, 8, 0, 8, 8, 8, 0, 0, 8, 0], [8, 0, 0, 0, 8, 0, 0, 8, 8, 0, 8, 8, 8, 8, 8, 8, 8, 0, 0, 0], [8, 8, 0, 0, 0, 8, 8, 8, 0, 8, 8, 0, 0, 8, 0, 8, 0, 8, 8, 8], [0, 8, 0, 0, 8, 0, 0, 0, 8, 8, 8, 8, 0, 8, 0, 8, 8, 0, 0, 0], [8, 0, 0, 0, 8, 0, 8, 8, 0, 0, 0, 8, 0, 0, 8, 0, 8, 0, 8, 0], [0, 0, 8, 0, 0, 8, 0, 0, 0, 0, 8, 8, 0, 0, 0, 8, 8, 8, 8, 8], [0, 8, 0, 8, 0, 8, 8, 0, 8, 8, 8, 0, 0, 8, 0, 0, 8, 8, 8, 8], [8, 8, 8, 0, 0, 0, 8, 0, 8, 8, 8, 8, 8, 8, 0, 8, 8, 0, 8, 8], [8, 8, 8, 0, 8, 0, 8, 0, 8, 8, 8, 8, 8, 8, 8, 0, 8, 8, 0, 0], [0, 0, 8, 8, 8, 8, 0, 8, 8, 0, 0, 0, 0, 0, 8, 8, 0, 8, 0, 8], [8, 0, 8, 8, 8, 8, 8, 0, 0, 0, 0, 8, 8, 0, 8, 8, 0, 0, 8, 0], [8, 8, 0, 0, 0, 0, 8, 8, 0, 8, 0, 8, 8, 8, 0, 8, 0, 8, 0, 8], [0, 8, 8, 8, 0, 8, 8, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0], [0, 8, 8, 0, 8, 8, 0, 8, 0, 8, 0, 8, 0, 0, 8, 0, 0, 8, 8, 8], [8, 8, 0, 8, 8, 8, 8, 8, 0, 8, 0, 8, 8, 8, 8, 8, 8, 0, 0, 8], [0, 0, 8, 0, 0, 8, 0, 8, 8, 0, 0, 0, 8, 0, 0, 0, 0, 8, 8, 0], [8, 8, 8, 8, 0, 0, 8, 0, 0, 8, 0, 0, 0, 0, 8, 0, 8, 8, 0, 8], [0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 8, 0, 8, 8, 0, 8, 8, 0, 8], [0, 8, 8, 8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 8, 0, 8, 8, 0, 8, 8]] -> [[0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0], [1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0], [1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0], [1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0], [0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0], [1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0], [0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0], [1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0], [1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0], [1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1], [0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0]]\nExample input-output arrays:\n[[7, 0, 0, 7, 7, 7, 0, 0, 0, 7, 0, 7, 7, 0, 7, 7, 0, 0, 0, 7], [7, 7, 0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7, 7, 0, 0, 7, 0], [0, 7, 0, 0, 0, 0, 7, 0, 7, 0, 7, 7, 0, 0, 0, 7, 7, 7, 7, 7], [0, 0, 7, 0, 7, 7, 0, 7, 7, 0, 0, 0, 7, 0, 7, 7, 7, 7, 7, 7], [7, 0, 7, 0, 7, 7, 7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7, 7, 0, 7], [0, 0, 0, 7, 0, 7, 7, 0, 7, 7, 7, 0, 7, 0, 0, 0, 0, 0, 0, 7], [0, 7, 0, 0, 7, 0, 7, 7, 7, 0, 0, 7, 0, 7, 7, 7, 0, 0, 0, 7], [7, 7, 0, 7, 0, 7, 7, 7, 7, 0, 7, 0, 0, 7, 7, 0, 7, 7, 7, 0], [0, 7, 0, 7, 0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 0, 7, 0, 7, 7, 0], [7, 0, 7, 7, 0, 7, 7, 7, 7, 0, 0, 0, 7, 0, 0, 0, 7, 7, 0, 0], [0, 7, 7, 7, 7, 7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 0, 0, 0], [0, 7, 7, 0, 0, 7, 0, 0, 0, 7, 7, 0, 7, 7, 7, 0, 0, 7, 7, 0], [0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 0, 7, 7, 0, 7, 7, 0, 0, 7, 7], [7, 7, 0, 0, 0, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0], [7, 0, 0, 0, 7, 7, 0, 7, 0, 7, 7, 7, 0, 0, 0, 0, 7, 7, 7, 0], [0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 7, 0, 7, 7, 7, 7, 7], [7, 7, 0, 7, 0, 7, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 0, 7, 0, 7], [0, 0, 0, 7, 0, 7, 7, 7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0], [0, 0, 0, 7, 7, 0, 7, 7, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7], [7, 0, 7, 7, 7, 7, 0, 0, 7, 7, 0, 7, 0, 7, 7, 7, 0, 0, 7, 0], [8, 8, 8, 8, 0, 0, 8, 0, 0, 8, 8, 0, 8, 8, 0, 0, 8, 8, 8, 8], [8, 0, 8, 0, 8, 0, 8, 0, 0, 8, 0, 0, 8, 0, 0, 8, 8, 8, 8, 8], [0, 0, 8, 0, 0, 0, 8, 8, 0, 0, 8, 8, 8, 8, 8, 0, 0, 8, 8, 0], [0, 8, 0, 0, 8, 0, 8, 8, 8, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 0, 8, 8, 0, 0, 8, 0, 8, 8, 0, 8, 0, 8, 0, 8], [0, 0, 0, 0, 8, 8, 0, 8, 0, 8, 0, 0, 0, 8, 8, 0, 0, 8, 0, 8], [0, 0, 8, 8, 8, 8, 8, 8, 0, 0, 0, 8, 8, 8, 0, 8, 8, 0, 0, 8], [8, 8, 8, 0, 8, 8, 8, 0, 0, 8, 0, 0, 0, 8, 8, 0, 8, 8, 0, 0], [8, 8, 8, 0, 0, 0, 8, 0, 0, 8, 8, 0, 0, 8, 0, 0, 0, 0, 0, 0], [8, 0, 8, 0, 8, 8, 0, 8, 8, 0, 0, 8, 8, 8, 8, 8, 0, 0, 0, 8], [0, 8, 0, 8, 0, 8, 0, 8, 8, 0, 0, 0, 8, 0, 8, 0, 8, 8, 8, 8], [0, 0, 8, 0, 8, 8, 8, 0, 8, 0, 0, 8, 8, 0, 8, 0, 8, 8, 0, 8], [8, 0, 0, 0, 0, 8, 8, 8, 8, 8, 0, 0, 8, 8, 0, 0, 8, 0, 0, 8], [0, 8, 0, 0, 8, 8, 0, 0, 0, 8, 0, 0, 8, 0, 8, 8, 0, 0, 8, 0], [8, 8, 0, 8, 0, 0, 8, 0, 0, 8, 8, 0, 0, 0, 8, 0, 0, 8, 0, 8], [0, 8, 0, 8, 0, 0, 0, 0, 0, 8, 0, 0, 8, 0, 8, 0, 0, 8, 8, 0], [0, 0, 8, 8, 8, 8, 8, 0, 8, 0, 0, 8, 0, 0, 8, 8, 0, 0, 8, 0], [0, 8, 0, 8, 8, 8, 0, 8, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 8, 8], [0, 8, 8, 0, 0, 8, 8, 8, 8, 8, 8, 0, 8, 0, 0, 8, 0, 8, 0, 0], [0, 0, 8, 8, 8, 0, 0, 0, 0, 8, 8, 0, 8, 0, 0, 0, 8, 0, 8, 8]] -> [[1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1], [1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0], [0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1], [0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1], [1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0], [1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0], [0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0], [0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0]]\nExample input-output arrays:\n[[7, 0, 0, 7, 7, 7, 0, 0, 0, 7, 0, 7, 7, 0, 7, 7, 0, 0, 0, 7], [7, 7, 0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7, 7, 0, 0, 7, 0], [0, 7, 0, 0, 0, 0, 7, 0, 7, 0, 7, 7, 0, 0, 0, 7, 7, 7, 7, 7], [0, 0, 7, 0, 7, 7, 0, 7, 7, 0, 0, 0, 7, 0, 7, 7, 7, 7, 7, 7], [7, 0, 7, 0, 7, 7, 7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7, 7, 0, 7], [0, 0, 0, 7, 0, 7, 7, 0, 7, 7, 7, 0, 7, 0, 0, 0, 0, 0, 0, 7], [0, 7, 0, 0, 7, 0, 7, 7, 7, 0, 0, 7, 0, 7, 7, 7, 0, 0, 0, 7], [7, 7, 0, 7, 0, 7, 7, 7, 7, 0, 7, 0, 0, 7, 7, 0, 7, 7, 7, 0], [0, 7, 0, 7, 0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 0, 7, 0, 7, 7, 0], [7, 0, 7, 7, 0, 7, 7, 7, 7, 0, 0, 0, 7, 0, 0, 0, 7, 7, 0, 0], [0, 7, 7, 7, 7, 7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 0, 0, 0], [0, 7, 7, 0, 0, 7, 0, 0, 0, 7, 7, 0, 7, 7, 7, 0, 0, 7, 7, 0], [0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 0, 7, 7, 0, 7, 7, 0, 0, 7, 7], [7, 7, 0, 0, 0, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0], [7, 0, 0, 0, 7, 7, 0, 7, 0, 7, 7, 7, 0, 0, 0, 0, 7, 7, 7, 0], [0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 7, 0, 7, 7, 7, 7, 7], [7, 7, 0, 7, 0, 7, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 0, 7, 0, 7], [0, 0, 0, 7, 0, 7, 7, 7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0], [0, 0, 0, 7, 7, 0, 7, 7, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7], [7, 0, 7, 7, 7, 7, 0, 0, 7, 7, 0, 7, 0, 7, 7, 7, 0, 0, 7, 0], [8, 8, 8, 8, 0, 0, 8, 0, 0, 8, 8, 0, 8, 8, 0, 0, 8, 8, 8, 8], [8, 0, 8, 0, 8, 0, 8, 0, 0, 8, 0, 0, 8, 0, 0, 8, 8, 8, 8, 8], [0, 0, 8, 0, 0, 0, 8, 8, 0, 0, 8, 8, 8, 8, 8, 0, 0, 8, 8, 0], [0, 8, 0, 0, 8, 0, 8, 8, 8, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 0, 8, 8, 0, 0, 8, 0, 8, 8, 0, 8, 0, 8, 0, 8], [0, 0, 0, 0, 8, 8, 0, 8, 0, 8, 0, 0, 0, 8, 8, 0, 0, 8, 0, 8], [0, 0, 8, 8, 8, 8, 8, 8, 0, 0, 0, 8, 8, 8, 0, 8, 8, 0, 0, 8], [8, 8, 8, 0, 8, 8, 8, 0, 0, 8, 0, 0, 0, 8, 8, 0, 8, 8, 0, 0], [8, 8, 8, 0, 0, 0, 8, 0, 0, 8, 8, 0, 0, 8, 0, 0, 0, 0, 0, 0], [8, 0, 8, 0, 8, 8, 0, 8, 8, 0, 0, 8, 8, 8, 8, 8, 0, 0, 0, 8], [0, 8, 0, 8, 0, 8, 0, 8, 8, 0, 0, 0, 8, 0, 8, 0, 8, 8, 8, 8], [0, 0, 8, 0, 8, 8, 8, 0, 8, 0, 0, 8, 8, 0, 8, 0, 8, 8, 0, 8], [8, 0, 0, 0, 0, 8, 8, 8, 8, 8, 0, 0, 8, 8, 0, 0, 8, 0, 0, 8], [0, 8, 0, 0, 8, 8, 0, 0, 0, 8, 0, 0, 8, 0, 8, 8, 0, 0, 8, 0], [8, 8, 0, 8, 0, 0, 8, 0, 0, 8, 8, 0, 0, 0, 8, 0, 0, 8, 0, 8], [0, 8, 0, 8, 0, 0, 0, 0, 0, 8, 0, 0, 8, 0, 8, 0, 0, 8, 8, 0], [0, 0, 8, 8, 8, 8, 8, 0, 8, 0, 0, 8, 0, 0, 8, 8, 0, 0, 8, 0], [0, 8, 0, 8, 8, 8, 0, 8, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 8, 8], [0, 8, 8, 0, 0, 8, 8, 8, 8, 8, 8, 0, 8, 0, 0, 8, 0, 8, 0, 0], [0, 0, 8, 8, 8, 0, 0, 0, 0, 8, 8, 0, 8, 0, 0, 0, 8, 0, 8, 8]] -> [[1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1], [1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0], [0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1], [0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1], [1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0], [1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0], [0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0], [0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[9, 0, 0, 9, 9, 9, 0, 0, 0, 9, 0, 9, 9, 0, 9, 9, 0, 0, 0, 9], [9, 9, 0, 9, 9, 0, 0, 0, 0, 9, 0, 0, 0, 0, 9, 9, 0, 0, 9, 0], [0, 9, 0, 0, 0, 0, 9, 0, 9, 0, 9, 9, 0, 0, 0, 9, 9, 9, 9, 9], [0, 0, 9, 0, 9, 9, 0, 9, 9, 0, 0, 0, 9, 0, 9, 9, 9, 9, 9, 9], [9, 0, 9, 0, 9, 9, 9, 0, 9, 0, 0, 0, 0, 9, 0, 9, 9, 9, 0, 9], [0, 0, 0, 9, 0, 9, 9, 0, 9, 9, 9, 0, 9, 0, 0, 0, 0, 0, 0, 9], [0, 9, 0, 0, 9, 0, 9, 9, 9, 0, 0, 9, 0, 9, 9, 9, 0, 0, 0, 9], [9, 9, 0, 9, 0, 9, 9, 9, 9, 0, 9, 0, 0, 9, 9, 0, 9, 9, 9, 0], [0, 9, 0, 9, 0, 9, 0, 9, 0, 0, 9, 0, 0, 9, 0, 9, 0, 9, 9, 0], [9, 0, 9, 9, 0, 9, 9, 9, 9, 0, 0, 0, 9, 0, 0, 0, 9, 9, 0, 0], [0, 9, 9, 9, 9, 9, 0, 9, 0, 9, 9, 9, 0, 9, 9, 9, 9, 0, 0, 0], [0, 9, 9, 0, 0, 9, 0, 0, 0, 9, 9, 0, 9, 9, 9, 0, 0, 9, 9, 0], [0, 9, 9, 9, 0, 9, 0, 9, 0, 0, 0, 9, 9, 0, 9, 9, 0, 0, 9, 9], [9, 9, 0, 0, 0, 0, 9, 0, 9, 0, 9, 9, 9, 9, 9, 0, 0, 0, 0, 0], [9, 0, 0, 0, 9, 9, 0, 9, 0, 9, 9, 9, 0, 0, 0, 0, 9, 9, 9, 0], [0, 9, 0, 0, 0, 9, 0, 0, 0, 0, 9, 0, 0, 9, 0, 9, 9, 9, 9, 9], [9, 9, 0, 9, 0, 9, 0, 0, 0, 9, 0, 9, 9, 9, 0, 0, 0, 9, 0, 9], [0, 0, 0, 9, 0, 9, 9, 9, 0, 9, 0, 0, 0, 0, 9, 0, 9, 0, 0, 0], [0, 0, 0, 9, 9, 0, 9, 9, 9, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 9], [9, 0, 9, 9, 9, 9, 0, 0, 9, 9, 0, 9, 0, 9, 9, 9, 0, 0, 9, 0], [8, 8, 8, 8, 0, 0, 8, 0, 0, 8, 8, 0, 8, 8, 0, 0, 8, 8, 8, 8], [8, 0, 8, 0, 8, 0, 8, 0, 0, 8, 0, 0, 8, 0, 0, 8, 8, 8, 8, 8], [0, 0, 8, 0, 0, 0, 8, 8, 0, 0, 8, 8, 8, 8, 8, 0, 0, 8, 8, 0], [0, 8, 0, 0, 8, 0, 8, 8, 8, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 0, 8, 8, 0, 0, 8, 0, 8, 8, 0, 8, 0, 8, 0, 8], [0, 0, 0, 0, 8, 8, 0, 8, 0, 8, 0, 0, 0, 8, 8, 0, 0, 8, 0, 8], [0, 0, 8, 8, 8, 8, 8, 8, 0, 0, 0, 8, 8, 8, 0, 8, 8, 0, 0, 8], [8, 8, 8, 0, 8, 8, 8, 0, 0, 8, 0, 0, 0, 8, 8, 0, 8, 8, 0, 0], [8, 8, 8, 0, 0, 0, 8, 0, 0, 8, 8, 0, 0, 8, 0, 0, 0, 0, 0, 0], [8, 0, 8, 0, 8, 8, 0, 8, 8, 0, 0, 8, 8, 8, 8, 8, 0, 0, 0, 8], [0, 8, 0, 8, 0, 8, 0, 8, 8, 0, 0, 0, 8, 0, 8, 0, 8, 8, 8, 8], [0, 0, 8, 0, 8, 8, 8, 0, 8, 0, 0, 8, 8, 0, 8, 0, 8, 8, 0, 8], [8, 0, 0, 0, 0, 8, 8, 8, 8, 8, 0, 0, 8, 8, 0, 0, 8, 0, 0, 8], [0, 8, 0, 0, 8, 8, 0, 0, 0, 8, 0, 0, 8, 0, 8, 8, 0, 0, 8, 0], [8, 8, 0, 8, 0, 0, 8, 0, 0, 8, 8, 0, 0, 0, 8, 0, 0, 8, 0, 8], [0, 8, 0, 8, 0, 0, 0, 0, 0, 8, 0, 0, 8, 0, 8, 0, 0, 8, 8, 0], [0, 0, 8, 8, 8, 8, 8, 0, 8, 0, 0, 8, 0, 0, 8, 8, 0, 0, 8, 0], [0, 8, 0, 8, 8, 8, 0, 8, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 8, 8], [0, 8, 8, 0, 0, 8, 8, 8, 8, 8, 8, 0, 8, 0, 0, 8, 0, 8, 0, 0], [0, 0, 8, 8, 8, 0, 0, 0, 0, 8, 8, 0, 8, 0, 0, 0, 8, 0, 8, 8]] -> ",
+                "test": {
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+            },
+            "Replicate 2": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 7, 0, 7, 0, 7, 7, 7, 7, 7, 0, 0, 7, 0, 0, 7, 0, 7, 7, 0], [7, 0, 0, 0, 0, 7, 0, 7, 0, 0, 7, 0, 7, 7, 0, 7, 7, 7, 0, 7], [0, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0, 7, 7, 0], [0, 0, 0, 0, 7, 0, 7, 7, 0, 0, 0, 0, 0, 0, 7, 0, 7, 7, 7, 0], [7, 7, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 7, 7, 0, 7, 0, 7, 0, 7], [7, 7, 7, 7, 7, 7, 0, 0, 7, 0, 7, 0, 7, 7, 7, 0, 7, 0, 0, 7], [0, 0, 7, 0, 0, 0, 7, 7, 0, 7, 0, 0, 0, 0, 0, 7, 0, 7, 0, 7], [0, 0, 7, 7, 0, 0, 7, 7, 7, 0, 0, 0, 0, 7, 7, 0, 7, 7, 0, 7], [7, 7, 7, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7], [7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 0, 0, 0, 7, 7, 0, 7, 7, 7], [0, 0, 7, 0, 7, 7, 0, 7, 7, 7, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 7, 7, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7], [0, 7, 0, 0, 0, 7, 7, 7, 7, 7, 0, 7, 7, 7, 0, 0, 0, 0, 0, 7], [0, 7, 0, 7, 0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 0, 0, 7, 7, 0, 0], [0, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0], [7, 7, 7, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 7, 7, 7, 0, 7, 7, 0], [7, 0, 0, 0, 0, 7, 7, 0, 7, 7, 0, 0, 0, 7, 7, 7, 0, 0, 7, 7], [0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [7, 7, 0, 0, 7, 7, 0, 0, 7, 7, 7, 0, 7, 0, 7, 0, 7, 7, 0, 7], [7, 7, 7, 0, 0, 0, 0, 0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 0, 0, 0], [0, 8, 0, 0, 0, 0, 8, 0, 8, 0, 0, 8, 8, 0, 8, 8, 8, 0, 0, 0], [8, 0, 0, 8, 8, 0, 8, 0, 8, 0, 0, 8, 8, 0, 0, 0, 0, 8, 0, 0], [8, 8, 0, 8, 0, 8, 8, 0, 0, 8, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0], [0, 0, 8, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 8, 0, 8, 0, 8, 8, 8], [8, 0, 0, 8, 8, 8, 8, 8, 0, 0, 8, 0, 8, 8, 8, 8, 8, 8, 0, 0], [8, 0, 8, 8, 0, 0, 8, 0, 0, 0, 8, 8, 8, 8, 0, 8, 0, 8, 0, 0], [0, 0, 8, 0, 8, 8, 0, 0, 0, 0, 0, 0, 8, 0, 0, 8, 0, 8, 0, 8], [8, 8, 0, 8, 0, 0, 0, 0, 8, 0, 0, 0, 8, 8, 8, 8, 0, 8, 8, 8], [0, 8, 8, 8, 0, 8, 8, 0, 8, 0, 0, 8, 8, 0, 8, 8, 8, 0, 0, 0], [0, 8, 8, 8, 0, 0, 0, 0, 8, 8, 0, 8, 0, 8, 8, 0, 0, 0, 0, 0], [8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 8, 0, 8, 8, 0, 8, 8, 0, 8], [0, 8, 0, 8, 8, 8, 0, 8, 0, 8, 8, 8, 0, 8, 0, 8, 0, 8, 0, 8], [0, 8, 8, 8, 8, 8, 0, 8, 0, 0, 0, 8, 8, 8, 8, 0, 0, 0, 8, 0], [0, 0, 8, 0, 8, 0, 0, 0, 8, 8, 8, 0, 0, 8, 8, 8, 8, 8, 8, 8], [0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 8, 8, 0, 0, 0, 8, 8, 8], [8, 0, 0, 0, 0, 0, 8, 0, 8, 8, 8, 8, 0, 8, 0, 8, 0, 0, 0, 8], [0, 0, 0, 0, 8, 0, 8, 0, 0, 0, 0, 8, 8, 0, 0, 8, 0, 8, 8, 8], [0, 0, 0, 0, 8, 0, 8, 0, 0, 0, 0, 0, 8, 8, 8, 0, 8, 8, 8, 0], [8, 8, 8, 8, 8, 8, 8, 0, 0, 8, 8, 0, 8, 8, 8, 0, 8, 8, 0, 0], [0, 0, 0, 8, 0, 0, 0, 8, 8, 8, 0, 0, 8, 8, 0, 8, 0, 8, 8, 8]] -> [[0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0], [0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0], [1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0], [1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1], [0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1], [0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0], [0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1], [0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1], [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[7, 0, 0, 0, 7, 0, 0, 7, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7], [7, 7, 0, 0, 0, 7, 7, 0, 0, 7, 7, 7, 0, 7, 7, 0, 7, 7, 7, 0], [7, 0, 7, 0, 0, 7, 7, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0], [7, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 7, 0], [0, 7, 7, 7, 7, 0, 0, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 7, 7], [0, 0, 7, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 7, 0, 0], [7, 7, 0, 7, 7, 0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 7, 0, 7], [0, 0, 7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0], [7, 7, 0, 0, 7, 7, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 7, 0], [7, 7, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 0, 7, 0, 7, 0, 0], [0, 0, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 7], [0, 0, 0, 7, 7, 7, 7, 7, 0, 0, 0, 7, 0, 0, 0, 7, 7, 7, 0, 7], [0, 0, 7, 7, 0, 0, 7, 0, 0, 7, 0, 0, 0, 7, 7, 0, 7, 7, 7, 0], [7, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0], [7, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7, 0, 7, 0, 7, 7], [7, 7, 7, 7, 0, 7, 0, 7, 7, 7, 7, 0, 7, 0, 0, 0, 7, 7, 7, 7], [0, 0, 0, 0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 7, 0, 7, 7, 7], [7, 0, 7, 0, 7, 7, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7], [7, 7, 7, 7, 7, 0, 0, 7, 0, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0, 7], [0, 7, 7, 7, 7, 7, 0, 7, 7, 0, 0, 0, 7, 0, 0, 7, 7, 7, 7, 0], [8, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 8, 0, 8, 8, 8, 8, 8, 0], [0, 0, 0, 0, 0, 8, 8, 8, 8, 8, 8, 0, 8, 0, 0, 8, 8, 8, 0, 0], [0, 8, 0, 0, 0, 8, 0, 0, 8, 0, 0, 8, 0, 0, 0, 0, 0, 8, 8, 0], [8, 8, 0, 8, 8, 0, 0, 0, 8, 8, 0, 8, 0, 0, 0, 8, 0, 8, 8, 8], [0, 0, 8, 0, 0, 0, 0, 0, 8, 0, 0, 8, 0, 8, 8, 8, 8, 8, 8, 8], [8, 8, 0, 8, 8, 8, 0, 8, 8, 8, 8, 0, 8, 0, 8, 8, 0, 0, 0, 0], [0, 0, 8, 8, 8, 0, 0, 8, 0, 8, 0, 0, 0, 0, 8, 0, 8, 8, 8, 8], [8, 8, 8, 0, 0, 0, 0, 8, 0, 8, 0, 8, 0, 0, 0, 8, 8, 0, 0, 0], [8, 0, 8, 8, 8, 0, 0, 0, 8, 0, 0, 8, 8, 0, 8, 0, 0, 0, 8, 8], [8, 8, 8, 8, 0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 8, 0, 0, 0], [8, 0, 8, 8, 8, 0, 8, 0, 8, 8, 8, 8, 8, 0, 8, 8, 0, 8, 0, 0], [8, 8, 8, 0, 0, 0, 8, 8, 8, 8, 0, 0, 0, 0, 8, 8, 8, 8, 0, 8], [8, 8, 8, 8, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 8, 0, 0, 8, 8, 0], [8, 8, 8, 0, 8, 8, 8, 8, 0, 0, 0, 0, 8, 0, 8, 8, 0, 8, 8, 8], [0, 8, 8, 8, 0, 0, 0, 8, 0, 0, 8, 8, 0, 8, 0, 0, 8, 0, 0, 0], [0, 8, 8, 8, 0, 0, 0, 8, 8, 8, 8, 8, 0, 8, 0, 8, 8, 8, 0, 8], [0, 0, 8, 0, 8, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 8, 8, 0, 0, 8], [0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 0, 0, 8, 0, 8, 0, 0, 8, 0, 8], [8, 8, 0, 8, 8, 0, 8, 8, 8, 8, 8, 0, 0, 0, 8, 8, 8, 8, 0, 0], [0, 0, 8, 8, 0, 0, 0, 0, 8, 8, 8, 8, 0, 8, 8, 0, 0, 8, 0, 0]] -> [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0], [0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0], [0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0], [1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0], [0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1], [0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1], [0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0], [1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1], [0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0], [1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0], [0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1], [0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1], [0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1], [1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 0, 7, 0, 7, 0], [7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 7, 0, 0, 7, 0, 7, 0, 0, 7, 7], [7, 0, 0, 0, 7, 7, 7, 0, 7, 7, 7, 0, 7, 0, 0, 7, 0, 0, 7, 0], [0, 0, 0, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0], [7, 7, 7, 0, 0, 7, 7, 7, 0, 0, 7, 0, 0, 0, 0, 7, 7, 7, 7, 7], [7, 0, 0, 0, 7, 7, 0, 7, 0, 0, 7, 7, 7, 7, 7, 0, 7, 0, 7, 7], [7, 7, 0, 0, 0, 7, 0, 0, 7, 0, 0, 7, 7, 7, 0, 7, 7, 7, 0, 0], [7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0, 7, 7, 0, 0], [7, 0, 0, 0, 0, 7, 7, 0, 0, 7, 0, 0, 7, 7, 7, 0, 0, 0, 7, 7], [0, 7, 7, 7, 0, 0, 7, 0, 0, 0, 7, 7, 0, 0, 0, 0, 7, 7, 7, 0], [7, 0, 7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7], [7, 0, 7, 7, 0, 0, 7, 7, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0], [0, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7, 0, 7, 0, 0, 0, 0, 7, 7, 0], [7, 0, 0, 7, 7, 0, 0, 7, 7, 7, 0, 0, 7, 0, 0, 7, 0, 7, 7, 0], [7, 0, 7, 0, 7, 0, 0, 7, 7, 0, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7], [7, 0, 0, 0, 7, 0, 7, 0, 7, 7, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0], [7, 7, 0, 7, 0, 7, 7, 0, 0, 7, 0, 0, 0, 7, 0, 0, 7, 7, 0, 0], [0, 7, 0, 0, 7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 7, 7, 0, 0, 7, 7], [0, 7, 7, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 0], [0, 8, 8, 0, 0, 0, 8, 0, 8, 0, 8, 8, 0, 8, 0, 0, 0, 0, 8, 8], [8, 0, 0, 0, 8, 8, 8, 0, 0, 8, 8, 8, 0, 8, 8, 8, 0, 0, 8, 0], [8, 0, 0, 0, 8, 0, 0, 8, 8, 0, 8, 8, 8, 8, 8, 8, 8, 0, 0, 0], [8, 8, 0, 0, 0, 8, 8, 8, 0, 8, 8, 0, 0, 8, 0, 8, 0, 8, 8, 8], [0, 8, 0, 0, 8, 0, 0, 0, 8, 8, 8, 8, 0, 8, 0, 8, 8, 0, 0, 0], [8, 0, 0, 0, 8, 0, 8, 8, 0, 0, 0, 8, 0, 0, 8, 0, 8, 0, 8, 0], [0, 0, 8, 0, 0, 8, 0, 0, 0, 0, 8, 8, 0, 0, 0, 8, 8, 8, 8, 8], [0, 8, 0, 8, 0, 8, 8, 0, 8, 8, 8, 0, 0, 8, 0, 0, 8, 8, 8, 8], [8, 8, 8, 0, 0, 0, 8, 0, 8, 8, 8, 8, 8, 8, 0, 8, 8, 0, 8, 8], [8, 8, 8, 0, 8, 0, 8, 0, 8, 8, 8, 8, 8, 8, 8, 0, 8, 8, 0, 0], [0, 0, 8, 8, 8, 8, 0, 8, 8, 0, 0, 0, 0, 0, 8, 8, 0, 8, 0, 8], [8, 0, 8, 8, 8, 8, 8, 0, 0, 0, 0, 8, 8, 0, 8, 8, 0, 0, 8, 0], [8, 8, 0, 0, 0, 0, 8, 8, 0, 8, 0, 8, 8, 8, 0, 8, 0, 8, 0, 8], [0, 8, 8, 8, 0, 8, 8, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0], [0, 8, 8, 0, 8, 8, 0, 8, 0, 8, 0, 8, 0, 0, 8, 0, 0, 8, 8, 8], [8, 8, 0, 8, 8, 8, 8, 8, 0, 8, 0, 8, 8, 8, 8, 8, 8, 0, 0, 8], [0, 0, 8, 0, 0, 8, 0, 8, 8, 0, 0, 0, 8, 0, 0, 0, 0, 8, 8, 0], [8, 8, 8, 8, 0, 0, 8, 0, 0, 8, 0, 0, 0, 0, 8, 0, 8, 8, 0, 8], [0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 8, 0, 8, 8, 0, 8, 8, 0, 8], [0, 8, 8, 8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 8, 0, 8, 8, 0, 8, 8]] -> [[0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0], [1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0], [1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0], [1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0], [0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0], [1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0], [0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0], [1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0], [1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0], [1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1], [0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [0, 8, 8, 0, 0, 0, 8, 0, 8, 0, 8, 8, 0, 8, 0, 0, 0, 0, 8, 8], [8, 0, 0, 0, 8, 8, 8, 0, 0, 8, 8, 8, 0, 8, 8, 8, 0, 0, 8, 0], [8, 0, 0, 0, 8, 0, 0, 8, 8, 0, 8, 8, 8, 8, 8, 8, 8, 0, 0, 0], [8, 8, 0, 0, 0, 8, 8, 8, 0, 8, 8, 0, 0, 8, 0, 8, 0, 8, 8, 8], [0, 8, 0, 0, 8, 0, 0, 0, 8, 8, 8, 8, 0, 8, 0, 8, 8, 0, 0, 0], [8, 0, 0, 0, 8, 0, 8, 8, 0, 0, 0, 8, 0, 0, 8, 0, 8, 0, 8, 0], [0, 0, 8, 0, 0, 8, 0, 0, 0, 0, 8, 8, 0, 0, 0, 8, 8, 8, 8, 8], [0, 8, 0, 8, 0, 8, 8, 0, 8, 8, 8, 0, 0, 8, 0, 0, 8, 8, 8, 8], [8, 8, 8, 0, 0, 0, 8, 0, 8, 8, 8, 8, 8, 8, 0, 8, 8, 0, 8, 8], [8, 8, 8, 0, 8, 0, 8, 0, 8, 8, 8, 8, 8, 8, 8, 0, 8, 8, 0, 0], [0, 0, 8, 8, 8, 8, 0, 8, 8, 0, 0, 0, 0, 0, 8, 8, 0, 8, 0, 8], [8, 0, 8, 8, 8, 8, 8, 0, 0, 0, 0, 8, 8, 0, 8, 8, 0, 0, 8, 0], [8, 8, 0, 0, 0, 0, 8, 8, 0, 8, 0, 8, 8, 8, 0, 8, 0, 8, 0, 8], [0, 8, 8, 8, 0, 8, 8, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0], [0, 8, 8, 0, 8, 8, 0, 8, 0, 8, 0, 8, 0, 0, 8, 0, 0, 8, 8, 8], [8, 8, 0, 8, 8, 8, 8, 8, 0, 8, 0, 8, 8, 8, 8, 8, 8, 0, 0, 8], [0, 0, 8, 0, 0, 8, 0, 8, 8, 0, 0, 0, 8, 0, 0, 0, 0, 8, 8, 0], [8, 8, 8, 8, 0, 0, 8, 0, 0, 8, 0, 0, 0, 0, 8, 0, 8, 8, 0, 8], [0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 8, 0, 8, 8, 0, 8, 8, 0, 8], [0, 8, 8, 8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 8, 0, 8, 8, 0, 8, 8]] -> ",
+                "test": {
+                    "input": [
+                        [
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+                }
+            },
+            "Replicate 3": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 0, 7, 0, 7, 0], [7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 7, 0, 0, 7, 0, 7, 0, 0, 7, 7], [7, 0, 0, 0, 7, 7, 7, 0, 7, 7, 7, 0, 7, 0, 0, 7, 0, 0, 7, 0], [0, 0, 0, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0], [7, 7, 7, 0, 0, 7, 7, 7, 0, 0, 7, 0, 0, 0, 0, 7, 7, 7, 7, 7], [7, 0, 0, 0, 7, 7, 0, 7, 0, 0, 7, 7, 7, 7, 7, 0, 7, 0, 7, 7], [7, 7, 0, 0, 0, 7, 0, 0, 7, 0, 0, 7, 7, 7, 0, 7, 7, 7, 0, 0], [7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0, 7, 7, 0, 0], [7, 0, 0, 0, 0, 7, 7, 0, 0, 7, 0, 0, 7, 7, 7, 0, 0, 0, 7, 7], [0, 7, 7, 7, 0, 0, 7, 0, 0, 0, 7, 7, 0, 0, 0, 0, 7, 7, 7, 0], [7, 0, 7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7], [7, 0, 7, 7, 0, 0, 7, 7, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0], [0, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7, 0, 7, 0, 0, 0, 0, 7, 7, 0], [7, 0, 0, 7, 7, 0, 0, 7, 7, 7, 0, 0, 7, 0, 0, 7, 0, 7, 7, 0], [7, 0, 7, 0, 7, 0, 0, 7, 7, 0, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7], [7, 0, 0, 0, 7, 0, 7, 0, 7, 7, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0], [7, 7, 0, 7, 0, 7, 7, 0, 0, 7, 0, 0, 0, 7, 0, 0, 7, 7, 0, 0], [0, 7, 0, 0, 7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 7, 7, 0, 0, 7, 7], [0, 7, 7, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 0], [0, 8, 8, 0, 0, 0, 8, 0, 8, 0, 8, 8, 0, 8, 0, 0, 0, 0, 8, 8], [8, 0, 0, 0, 8, 8, 8, 0, 0, 8, 8, 8, 0, 8, 8, 8, 0, 0, 8, 0], [8, 0, 0, 0, 8, 0, 0, 8, 8, 0, 8, 8, 8, 8, 8, 8, 8, 0, 0, 0], [8, 8, 0, 0, 0, 8, 8, 8, 0, 8, 8, 0, 0, 8, 0, 8, 0, 8, 8, 8], [0, 8, 0, 0, 8, 0, 0, 0, 8, 8, 8, 8, 0, 8, 0, 8, 8, 0, 0, 0], [8, 0, 0, 0, 8, 0, 8, 8, 0, 0, 0, 8, 0, 0, 8, 0, 8, 0, 8, 0], [0, 0, 8, 0, 0, 8, 0, 0, 0, 0, 8, 8, 0, 0, 0, 8, 8, 8, 8, 8], [0, 8, 0, 8, 0, 8, 8, 0, 8, 8, 8, 0, 0, 8, 0, 0, 8, 8, 8, 8], [8, 8, 8, 0, 0, 0, 8, 0, 8, 8, 8, 8, 8, 8, 0, 8, 8, 0, 8, 8], [8, 8, 8, 0, 8, 0, 8, 0, 8, 8, 8, 8, 8, 8, 8, 0, 8, 8, 0, 0], [0, 0, 8, 8, 8, 8, 0, 8, 8, 0, 0, 0, 0, 0, 8, 8, 0, 8, 0, 8], [8, 0, 8, 8, 8, 8, 8, 0, 0, 0, 0, 8, 8, 0, 8, 8, 0, 0, 8, 0], [8, 8, 0, 0, 0, 0, 8, 8, 0, 8, 0, 8, 8, 8, 0, 8, 0, 8, 0, 8], [0, 8, 8, 8, 0, 8, 8, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0], [0, 8, 8, 0, 8, 8, 0, 8, 0, 8, 0, 8, 0, 0, 8, 0, 0, 8, 8, 8], [8, 8, 0, 8, 8, 8, 8, 8, 0, 8, 0, 8, 8, 8, 8, 8, 8, 0, 0, 8], [0, 0, 8, 0, 0, 8, 0, 8, 8, 0, 0, 0, 8, 0, 0, 0, 0, 8, 8, 0], [8, 8, 8, 8, 0, 0, 8, 0, 0, 8, 0, 0, 0, 0, 8, 0, 8, 8, 0, 8], [0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 8, 0, 8, 8, 0, 8, 8, 0, 8], [0, 8, 8, 8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 8, 0, 8, 8, 0, 8, 8]] -> [[0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0], [1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0], [1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0], [1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0], [0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0], [1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0], [0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0], [1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0], [1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0], [1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1], [0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0]]\nExample input-output arrays:\n[[7, 0, 0, 7, 7, 7, 0, 0, 0, 7, 0, 7, 7, 0, 7, 7, 0, 0, 0, 7], [7, 7, 0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7, 7, 0, 0, 7, 0], [0, 7, 0, 0, 0, 0, 7, 0, 7, 0, 7, 7, 0, 0, 0, 7, 7, 7, 7, 7], [0, 0, 7, 0, 7, 7, 0, 7, 7, 0, 0, 0, 7, 0, 7, 7, 7, 7, 7, 7], [7, 0, 7, 0, 7, 7, 7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7, 7, 0, 7], [0, 0, 0, 7, 0, 7, 7, 0, 7, 7, 7, 0, 7, 0, 0, 0, 0, 0, 0, 7], [0, 7, 0, 0, 7, 0, 7, 7, 7, 0, 0, 7, 0, 7, 7, 7, 0, 0, 0, 7], [7, 7, 0, 7, 0, 7, 7, 7, 7, 0, 7, 0, 0, 7, 7, 0, 7, 7, 7, 0], [0, 7, 0, 7, 0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 0, 7, 0, 7, 7, 0], [7, 0, 7, 7, 0, 7, 7, 7, 7, 0, 0, 0, 7, 0, 0, 0, 7, 7, 0, 0], [0, 7, 7, 7, 7, 7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 0, 0, 0], [0, 7, 7, 0, 0, 7, 0, 0, 0, 7, 7, 0, 7, 7, 7, 0, 0, 7, 7, 0], [0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 0, 7, 7, 0, 7, 7, 0, 0, 7, 7], [7, 7, 0, 0, 0, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0], [7, 0, 0, 0, 7, 7, 0, 7, 0, 7, 7, 7, 0, 0, 0, 0, 7, 7, 7, 0], [0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 7, 0, 7, 7, 7, 7, 7], [7, 7, 0, 7, 0, 7, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 0, 7, 0, 7], [0, 0, 0, 7, 0, 7, 7, 7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0], [0, 0, 0, 7, 7, 0, 7, 7, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7], [7, 0, 7, 7, 7, 7, 0, 0, 7, 7, 0, 7, 0, 7, 7, 7, 0, 0, 7, 0], [8, 8, 8, 8, 0, 0, 8, 0, 0, 8, 8, 0, 8, 8, 0, 0, 8, 8, 8, 8], [8, 0, 8, 0, 8, 0, 8, 0, 0, 8, 0, 0, 8, 0, 0, 8, 8, 8, 8, 8], [0, 0, 8, 0, 0, 0, 8, 8, 0, 0, 8, 8, 8, 8, 8, 0, 0, 8, 8, 0], [0, 8, 0, 0, 8, 0, 8, 8, 8, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 0, 8, 8, 0, 0, 8, 0, 8, 8, 0, 8, 0, 8, 0, 8], [0, 0, 0, 0, 8, 8, 0, 8, 0, 8, 0, 0, 0, 8, 8, 0, 0, 8, 0, 8], [0, 0, 8, 8, 8, 8, 8, 8, 0, 0, 0, 8, 8, 8, 0, 8, 8, 0, 0, 8], [8, 8, 8, 0, 8, 8, 8, 0, 0, 8, 0, 0, 0, 8, 8, 0, 8, 8, 0, 0], [8, 8, 8, 0, 0, 0, 8, 0, 0, 8, 8, 0, 0, 8, 0, 0, 0, 0, 0, 0], [8, 0, 8, 0, 8, 8, 0, 8, 8, 0, 0, 8, 8, 8, 8, 8, 0, 0, 0, 8], [0, 8, 0, 8, 0, 8, 0, 8, 8, 0, 0, 0, 8, 0, 8, 0, 8, 8, 8, 8], [0, 0, 8, 0, 8, 8, 8, 0, 8, 0, 0, 8, 8, 0, 8, 0, 8, 8, 0, 8], [8, 0, 0, 0, 0, 8, 8, 8, 8, 8, 0, 0, 8, 8, 0, 0, 8, 0, 0, 8], [0, 8, 0, 0, 8, 8, 0, 0, 0, 8, 0, 0, 8, 0, 8, 8, 0, 0, 8, 0], [8, 8, 0, 8, 0, 0, 8, 0, 0, 8, 8, 0, 0, 0, 8, 0, 0, 8, 0, 8], [0, 8, 0, 8, 0, 0, 0, 0, 0, 8, 0, 0, 8, 0, 8, 0, 0, 8, 8, 0], [0, 0, 8, 8, 8, 8, 8, 0, 8, 0, 0, 8, 0, 0, 8, 8, 0, 0, 8, 0], [0, 8, 0, 8, 8, 8, 0, 8, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 8, 8], [0, 8, 8, 0, 0, 8, 8, 8, 8, 8, 8, 0, 8, 0, 0, 8, 0, 8, 0, 0], [0, 0, 8, 8, 8, 0, 0, 0, 0, 8, 8, 0, 8, 0, 0, 0, 8, 0, 8, 8]] -> [[1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1], [1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0], [0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1], [0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1], [1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0], [1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0], [0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0], [0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0]]\nExample input-output arrays:\n[[7, 0, 7, 7, 7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 7, 7], [7, 0, 7, 7, 7, 7, 0, 7, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7, 7, 7], [0, 7, 7, 0, 0, 0, 7, 0, 0, 7, 0, 0, 7, 7, 7, 7, 7, 7, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 7, 0, 0, 7, 7, 7, 0], [0, 7, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7, 7, 0, 7, 7, 0, 7, 7], [7, 0, 7, 7, 0, 0, 0, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 0], [0, 7, 7, 7, 7, 7, 7, 7, 0, 0, 0, 7, 7, 7, 0, 7, 7, 7, 0, 0], [7, 0, 0, 7, 7, 0, 7, 7, 7, 7, 0, 0, 7, 0, 7, 7, 0, 7, 7, 7], [7, 0, 0, 7, 7, 7, 0, 7, 7, 0, 0, 7, 7, 7, 0, 0, 0, 7, 0, 0], [0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0], [7, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 0, 0, 7, 7, 7, 0, 0, 0], [7, 7, 0, 7, 0, 7, 0, 0, 7, 7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 7], [0, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 7, 7, 0], [0, 7, 7, 0, 0, 7, 7, 7, 0, 7, 0, 7, 7, 7, 7, 0, 0, 7, 0, 7], [0, 7, 7, 0, 0, 7, 7, 7, 7, 7, 7, 0, 0, 0, 7, 7, 0, 0, 7, 7], [0, 7, 7, 7, 0, 7, 7, 0, 0, 0, 7, 7, 0, 7, 0, 7, 7, 7, 7, 0], [0, 7, 7, 7, 7, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 7, 0, 0, 0, 0], [0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 0, 7, 7, 0, 0, 7, 0, 7, 7, 0], [0, 7, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7, 0, 7, 0, 7, 7, 0, 7], [7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 0, 7], [0, 0, 0, 8, 8, 8, 8, 0, 8, 8, 0, 8, 0, 0, 0, 0, 8, 0, 8, 0], [0, 0, 0, 8, 0, 8, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 0, 0, 8, 8], [8, 8, 8, 8, 0, 0, 8, 0, 8, 0, 0, 0, 0, 0, 8, 8, 0, 0, 0, 8], [8, 8, 0, 0, 8, 8, 0, 8, 8, 0, 8, 0, 0, 8, 8, 0, 8, 0, 0, 0], [0, 8, 0, 8, 0, 8, 0, 0, 8, 0, 8, 0, 0, 8, 8, 0, 8, 8, 0, 8], [0, 0, 8, 0, 8, 8, 0, 0, 0, 0, 8, 8, 0, 8, 8, 8, 0, 0, 0, 0], [8, 0, 8, 8, 8, 8, 0, 0, 8, 8, 8, 0, 0, 0, 8, 0, 0, 0, 0, 8], [8, 0, 8, 0, 8, 0, 8, 8, 8, 8, 8, 0, 0, 0, 8, 0, 8, 0, 8, 8], [0, 0, 8, 8, 0, 8, 0, 8, 8, 0, 0, 8, 0, 8, 8, 8, 8, 8, 0, 8], [0, 8, 0, 8, 0, 8, 0, 0, 8, 8, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0], [8, 0, 0, 0, 8, 8, 0, 8, 8, 8, 8, 0, 8, 8, 0, 0, 8, 0, 0, 0], [8, 8, 8, 8, 0, 0, 8, 8, 0, 0, 8, 0, 8, 8, 0, 8, 0, 0, 8, 0], [8, 8, 8, 0, 0, 8, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 0, 8, 0, 0], [0, 8, 0, 8, 8, 0, 0, 8, 0, 0, 8, 8, 0, 8, 0, 0, 0, 8, 8, 0], [8, 8, 0, 8, 8, 0, 8, 0, 0, 0, 0, 0, 8, 8, 0, 8, 0, 0, 0, 8], [0, 0, 8, 8, 8, 0, 8, 0, 8, 8, 0, 0, 8, 0, 8, 0, 0, 0, 8, 8], [8, 0, 8, 0, 0, 0, 8, 0, 8, 8, 0, 0, 0, 0, 8, 8, 0, 0, 0, 8], [0, 8, 0, 8, 0, 8, 0, 0, 8, 8, 0, 8, 0, 0, 8, 8, 8, 0, 8, 0], [0, 8, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 8, 8, 8, 0, 8, 0, 0, 8], [0, 8, 8, 0, 8, 0, 0, 8, 0, 0, 8, 0, 8, 8, 8, 0, 8, 8, 8, 8]] -> [[0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0], [0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1], [0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0], [0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1], [0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0], [0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1], [0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0], [0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0], [1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0], [0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0], [0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1], [0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0], [0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0], [0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1], [0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 8, 8, 8, 0, 8, 8, 0, 8, 0, 0, 0, 0, 8, 0, 8, 0], [0, 0, 0, 8, 0, 8, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 0, 0, 8, 8], [8, 8, 8, 8, 0, 0, 8, 0, 8, 0, 0, 0, 0, 0, 8, 8, 0, 0, 0, 8], [8, 8, 0, 0, 8, 8, 0, 8, 8, 0, 8, 0, 0, 8, 8, 0, 8, 0, 0, 0], [0, 8, 0, 8, 0, 8, 0, 0, 8, 0, 8, 0, 0, 8, 8, 0, 8, 8, 0, 8], [0, 0, 8, 0, 8, 8, 0, 0, 0, 0, 8, 8, 0, 8, 8, 8, 0, 0, 0, 0], [8, 0, 8, 8, 8, 8, 0, 0, 8, 8, 8, 0, 0, 0, 8, 0, 0, 0, 0, 8], [8, 0, 8, 0, 8, 0, 8, 8, 8, 8, 8, 0, 0, 0, 8, 0, 8, 0, 8, 8], [0, 0, 8, 8, 0, 8, 0, 8, 8, 0, 0, 8, 0, 8, 8, 8, 8, 8, 0, 8], [0, 8, 0, 8, 0, 8, 0, 0, 8, 8, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0], [8, 0, 0, 0, 8, 8, 0, 8, 8, 8, 8, 0, 8, 8, 0, 0, 8, 0, 0, 0], [8, 8, 8, 8, 0, 0, 8, 8, 0, 0, 8, 0, 8, 8, 0, 8, 0, 0, 8, 0], [8, 8, 8, 0, 0, 8, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 0, 8, 0, 0], [0, 8, 0, 8, 8, 0, 0, 8, 0, 0, 8, 8, 0, 8, 0, 0, 0, 8, 8, 0], [8, 8, 0, 8, 8, 0, 8, 0, 0, 0, 0, 0, 8, 8, 0, 8, 0, 0, 0, 8], [0, 0, 8, 8, 8, 0, 8, 0, 8, 8, 0, 0, 8, 0, 8, 0, 0, 0, 8, 8], [8, 0, 8, 0, 0, 0, 8, 0, 8, 8, 0, 0, 0, 0, 8, 8, 0, 0, 0, 8], [0, 8, 0, 8, 0, 8, 0, 0, 8, 8, 0, 8, 0, 0, 8, 8, 8, 0, 8, 0], [0, 8, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 8, 8, 8, 0, 8, 0, 0, 8], [0, 8, 8, 0, 8, 0, 0, 8, 0, 0, 8, 0, 8, 8, 8, 0, 8, 8, 8, 8]] -> ",
+                "test": {
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+            "Replicate 4": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[7, 0, 7, 7, 7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 7, 7], [7, 0, 7, 7, 7, 7, 0, 7, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7, 7, 7], [0, 7, 7, 0, 0, 0, 7, 0, 0, 7, 0, 0, 7, 7, 7, 7, 7, 7, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 7, 0, 0, 7, 7, 7, 0], [0, 7, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7, 7, 0, 7, 7, 0, 7, 7], [7, 0, 7, 7, 0, 0, 0, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 0], [0, 7, 7, 7, 7, 7, 7, 7, 0, 0, 0, 7, 7, 7, 0, 7, 7, 7, 0, 0], [7, 0, 0, 7, 7, 0, 7, 7, 7, 7, 0, 0, 7, 0, 7, 7, 0, 7, 7, 7], [7, 0, 0, 7, 7, 7, 0, 7, 7, 0, 0, 7, 7, 7, 0, 0, 0, 7, 0, 0], [0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0], [7, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 0, 0, 7, 7, 7, 0, 0, 0], [7, 7, 0, 7, 0, 7, 0, 0, 7, 7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 7], [0, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 7, 7, 0], [0, 7, 7, 0, 0, 7, 7, 7, 0, 7, 0, 7, 7, 7, 7, 0, 0, 7, 0, 7], [0, 7, 7, 0, 0, 7, 7, 7, 7, 7, 7, 0, 0, 0, 7, 7, 0, 0, 7, 7], [0, 7, 7, 7, 0, 7, 7, 0, 0, 0, 7, 7, 0, 7, 0, 7, 7, 7, 7, 0], [0, 7, 7, 7, 7, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 7, 0, 0, 0, 0], [0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 0, 7, 7, 0, 0, 7, 0, 7, 7, 0], [0, 7, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7, 0, 7, 0, 7, 7, 0, 7], [7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 0, 7], [0, 0, 0, 8, 8, 8, 8, 0, 8, 8, 0, 8, 0, 0, 0, 0, 8, 0, 8, 0], [0, 0, 0, 8, 0, 8, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 0, 0, 8, 8], [8, 8, 8, 8, 0, 0, 8, 0, 8, 0, 0, 0, 0, 0, 8, 8, 0, 0, 0, 8], [8, 8, 0, 0, 8, 8, 0, 8, 8, 0, 8, 0, 0, 8, 8, 0, 8, 0, 0, 0], [0, 8, 0, 8, 0, 8, 0, 0, 8, 0, 8, 0, 0, 8, 8, 0, 8, 8, 0, 8], [0, 0, 8, 0, 8, 8, 0, 0, 0, 0, 8, 8, 0, 8, 8, 8, 0, 0, 0, 0], [8, 0, 8, 8, 8, 8, 0, 0, 8, 8, 8, 0, 0, 0, 8, 0, 0, 0, 0, 8], [8, 0, 8, 0, 8, 0, 8, 8, 8, 8, 8, 0, 0, 0, 8, 0, 8, 0, 8, 8], [0, 0, 8, 8, 0, 8, 0, 8, 8, 0, 0, 8, 0, 8, 8, 8, 8, 8, 0, 8], [0, 8, 0, 8, 0, 8, 0, 0, 8, 8, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0], [8, 0, 0, 0, 8, 8, 0, 8, 8, 8, 8, 0, 8, 8, 0, 0, 8, 0, 0, 0], [8, 8, 8, 8, 0, 0, 8, 8, 0, 0, 8, 0, 8, 8, 0, 8, 0, 0, 8, 0], [8, 8, 8, 0, 0, 8, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 0, 8, 0, 0], [0, 8, 0, 8, 8, 0, 0, 8, 0, 0, 8, 8, 0, 8, 0, 0, 0, 8, 8, 0], [8, 8, 0, 8, 8, 0, 8, 0, 0, 0, 0, 0, 8, 8, 0, 8, 0, 0, 0, 8], [0, 0, 8, 8, 8, 0, 8, 0, 8, 8, 0, 0, 8, 0, 8, 0, 0, 0, 8, 8], [8, 0, 8, 0, 0, 0, 8, 0, 8, 8, 0, 0, 0, 0, 8, 8, 0, 0, 0, 8], [0, 8, 0, 8, 0, 8, 0, 0, 8, 8, 0, 8, 0, 0, 8, 8, 8, 0, 8, 0], [0, 8, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 8, 8, 8, 0, 8, 0, 0, 8], [0, 8, 8, 0, 8, 0, 0, 8, 0, 0, 8, 0, 8, 8, 8, 0, 8, 8, 8, 8]] -> [[0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0], [0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1], [0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0], [0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1], [0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0], [0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1], [0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0], [0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0], [1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0], [0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0], [0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1], [0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0], [0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0], [0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1], [0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1]]\nExample input-output arrays:\n[[7, 0, 0, 0, 7, 0, 0, 7, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7], [7, 7, 0, 0, 0, 7, 7, 0, 0, 7, 7, 7, 0, 7, 7, 0, 7, 7, 7, 0], [7, 0, 7, 0, 0, 7, 7, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0], [7, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 7, 0], [0, 7, 7, 7, 7, 0, 0, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 7, 7], [0, 0, 7, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 7, 0, 0], [7, 7, 0, 7, 7, 0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 7, 0, 7], [0, 0, 7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0], [7, 7, 0, 0, 7, 7, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 7, 0], [7, 7, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 0, 7, 0, 7, 0, 0], [0, 0, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 7], [0, 0, 0, 7, 7, 7, 7, 7, 0, 0, 0, 7, 0, 0, 0, 7, 7, 7, 0, 7], [0, 0, 7, 7, 0, 0, 7, 0, 0, 7, 0, 0, 0, 7, 7, 0, 7, 7, 7, 0], [7, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0], [7, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7, 0, 7, 0, 7, 7], [7, 7, 7, 7, 0, 7, 0, 7, 7, 7, 7, 0, 7, 0, 0, 0, 7, 7, 7, 7], [0, 0, 0, 0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 7, 0, 7, 7, 7], [7, 0, 7, 0, 7, 7, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7], [7, 7, 7, 7, 7, 0, 0, 7, 0, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0, 7], [0, 7, 7, 7, 7, 7, 0, 7, 7, 0, 0, 0, 7, 0, 0, 7, 7, 7, 7, 0], [8, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 8, 0, 8, 8, 8, 8, 8, 0], [0, 0, 0, 0, 0, 8, 8, 8, 8, 8, 8, 0, 8, 0, 0, 8, 8, 8, 0, 0], [0, 8, 0, 0, 0, 8, 0, 0, 8, 0, 0, 8, 0, 0, 0, 0, 0, 8, 8, 0], [8, 8, 0, 8, 8, 0, 0, 0, 8, 8, 0, 8, 0, 0, 0, 8, 0, 8, 8, 8], [0, 0, 8, 0, 0, 0, 0, 0, 8, 0, 0, 8, 0, 8, 8, 8, 8, 8, 8, 8], [8, 8, 0, 8, 8, 8, 0, 8, 8, 8, 8, 0, 8, 0, 8, 8, 0, 0, 0, 0], [0, 0, 8, 8, 8, 0, 0, 8, 0, 8, 0, 0, 0, 0, 8, 0, 8, 8, 8, 8], [8, 8, 8, 0, 0, 0, 0, 8, 0, 8, 0, 8, 0, 0, 0, 8, 8, 0, 0, 0], [8, 0, 8, 8, 8, 0, 0, 0, 8, 0, 0, 8, 8, 0, 8, 0, 0, 0, 8, 8], [8, 8, 8, 8, 0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 8, 0, 0, 0], [8, 0, 8, 8, 8, 0, 8, 0, 8, 8, 8, 8, 8, 0, 8, 8, 0, 8, 0, 0], [8, 8, 8, 0, 0, 0, 8, 8, 8, 8, 0, 0, 0, 0, 8, 8, 8, 8, 0, 8], [8, 8, 8, 8, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 8, 0, 0, 8, 8, 0], [8, 8, 8, 0, 8, 8, 8, 8, 0, 0, 0, 0, 8, 0, 8, 8, 0, 8, 8, 8], [0, 8, 8, 8, 0, 0, 0, 8, 0, 0, 8, 8, 0, 8, 0, 0, 8, 0, 0, 0], [0, 8, 8, 8, 0, 0, 0, 8, 8, 8, 8, 8, 0, 8, 0, 8, 8, 8, 0, 8], [0, 0, 8, 0, 8, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 8, 8, 0, 0, 8], [0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 0, 0, 8, 0, 8, 0, 0, 8, 0, 8], [8, 8, 0, 8, 8, 0, 8, 8, 8, 8, 8, 0, 0, 0, 8, 8, 8, 8, 0, 0], [0, 0, 8, 8, 0, 0, 0, 0, 8, 8, 8, 8, 0, 8, 8, 0, 0, 8, 0, 0]] -> [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0], [0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0], [0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0], [1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0], [0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1], [0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1], [0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0], [1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1], [0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0], [1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0], [0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1], [0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1], [0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1], [1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0]]\nExample input-output arrays:\n[[7, 0, 0, 0, 7, 0, 0, 7, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7], [7, 7, 0, 0, 0, 7, 7, 0, 0, 7, 7, 7, 0, 7, 7, 0, 7, 7, 7, 0], [7, 0, 7, 0, 0, 7, 7, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0], [7, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 7, 0], [0, 7, 7, 7, 7, 0, 0, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 7, 7], [0, 0, 7, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 7, 0, 0], [7, 7, 0, 7, 7, 0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 7, 0, 7], [0, 0, 7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0], [7, 7, 0, 0, 7, 7, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 7, 0], [7, 7, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 0, 7, 0, 7, 0, 0], [0, 0, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 7], [0, 0, 0, 7, 7, 7, 7, 7, 0, 0, 0, 7, 0, 0, 0, 7, 7, 7, 0, 7], [0, 0, 7, 7, 0, 0, 7, 0, 0, 7, 0, 0, 0, 7, 7, 0, 7, 7, 7, 0], [7, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0], [7, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7, 0, 7, 0, 7, 7], [7, 7, 7, 7, 0, 7, 0, 7, 7, 7, 7, 0, 7, 0, 0, 0, 7, 7, 7, 7], [0, 0, 0, 0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 7, 0, 7, 7, 7], [7, 0, 7, 0, 7, 7, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7], [7, 7, 7, 7, 7, 0, 0, 7, 0, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0, 7], [0, 7, 7, 7, 7, 7, 0, 7, 7, 0, 0, 0, 7, 0, 0, 7, 7, 7, 7, 0], [8, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 8, 0, 8, 8, 8, 8, 8, 0], [0, 0, 0, 0, 0, 8, 8, 8, 8, 8, 8, 0, 8, 0, 0, 8, 8, 8, 0, 0], [0, 8, 0, 0, 0, 8, 0, 0, 8, 0, 0, 8, 0, 0, 0, 0, 0, 8, 8, 0], [8, 8, 0, 8, 8, 0, 0, 0, 8, 8, 0, 8, 0, 0, 0, 8, 0, 8, 8, 8], [0, 0, 8, 0, 0, 0, 0, 0, 8, 0, 0, 8, 0, 8, 8, 8, 8, 8, 8, 8], [8, 8, 0, 8, 8, 8, 0, 8, 8, 8, 8, 0, 8, 0, 8, 8, 0, 0, 0, 0], [0, 0, 8, 8, 8, 0, 0, 8, 0, 8, 0, 0, 0, 0, 8, 0, 8, 8, 8, 8], [8, 8, 8, 0, 0, 0, 0, 8, 0, 8, 0, 8, 0, 0, 0, 8, 8, 0, 0, 0], [8, 0, 8, 8, 8, 0, 0, 0, 8, 0, 0, 8, 8, 0, 8, 0, 0, 0, 8, 8], [8, 8, 8, 8, 0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 8, 0, 0, 0], [8, 0, 8, 8, 8, 0, 8, 0, 8, 8, 8, 8, 8, 0, 8, 8, 0, 8, 0, 0], [8, 8, 8, 0, 0, 0, 8, 8, 8, 8, 0, 0, 0, 0, 8, 8, 8, 8, 0, 8], [8, 8, 8, 8, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 8, 0, 0, 8, 8, 0], [8, 8, 8, 0, 8, 8, 8, 8, 0, 0, 0, 0, 8, 0, 8, 8, 0, 8, 8, 8], [0, 8, 8, 8, 0, 0, 0, 8, 0, 0, 8, 8, 0, 8, 0, 0, 8, 0, 0, 0], [0, 8, 8, 8, 0, 0, 0, 8, 8, 8, 8, 8, 0, 8, 0, 8, 8, 8, 0, 8], [0, 0, 8, 0, 8, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 8, 8, 0, 0, 8], [0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 0, 0, 8, 0, 8, 0, 0, 8, 0, 8], [8, 8, 0, 8, 8, 0, 8, 8, 8, 8, 8, 0, 0, 0, 8, 8, 8, 8, 0, 0], [0, 0, 8, 8, 0, 0, 0, 0, 8, 8, 8, 8, 0, 8, 8, 0, 0, 8, 0, 0]] -> [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0], [0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0], [0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0], [1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0], [0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1], [0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1], [0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0], [1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1], [0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0], [1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0], [0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1], [0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1], [0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1], [1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[7, 0, 0, 0, 7, 0, 0, 7, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7], [7, 7, 0, 0, 0, 7, 7, 0, 0, 7, 7, 7, 0, 7, 7, 0, 7, 7, 7, 0], [7, 0, 7, 0, 0, 7, 7, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0], [7, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 7, 0], [0, 7, 7, 7, 7, 0, 0, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 7, 7], [0, 0, 7, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 7, 0, 0], [7, 7, 0, 7, 7, 0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 7, 0, 7], [0, 0, 7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0], [7, 7, 0, 0, 7, 7, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 7, 0], [7, 7, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 0, 7, 0, 7, 0, 0], [0, 0, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 7], [0, 0, 0, 7, 7, 7, 7, 7, 0, 0, 0, 7, 0, 0, 0, 7, 7, 7, 0, 7], [0, 0, 7, 7, 0, 0, 7, 0, 0, 7, 0, 0, 0, 7, 7, 0, 7, 7, 7, 0], [7, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0], [7, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7, 0, 7, 0, 7, 7], [7, 7, 7, 7, 0, 7, 0, 7, 7, 7, 7, 0, 7, 0, 0, 0, 7, 7, 7, 7], [0, 0, 0, 0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 7, 0, 7, 7, 7], [7, 0, 7, 0, 7, 7, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7], [7, 7, 7, 7, 7, 0, 0, 7, 0, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0, 7], [0, 7, 7, 7, 7, 7, 0, 7, 7, 0, 0, 0, 7, 0, 0, 7, 7, 7, 7, 0], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]] -> ",
+                "test": {
+                    "input": [
+                        [
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+                        [
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+                    ]
+                }
+            }
+        },
+        "L3": {
+            "Replicate 0": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 7, 0, 7, 0, 7, 7, 7, 7, 7, 0, 0, 7, 0, 0, 7, 0, 7, 7, 0], [7, 0, 0, 0, 0, 7, 0, 7, 0, 0, 7, 0, 7, 7, 0, 7, 7, 7, 0, 7], [0, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0, 7, 7, 0], [0, 0, 0, 0, 7, 0, 7, 7, 0, 0, 0, 0, 0, 0, 7, 0, 7, 7, 7, 0], [7, 7, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 7, 7, 0, 7, 0, 7, 0, 7], [7, 7, 7, 7, 7, 7, 0, 0, 7, 0, 7, 0, 7, 7, 7, 0, 7, 0, 0, 7], [0, 0, 7, 0, 0, 0, 7, 7, 0, 7, 0, 0, 0, 0, 0, 7, 0, 7, 0, 7], [0, 0, 7, 7, 0, 0, 7, 7, 7, 0, 0, 0, 0, 7, 7, 0, 7, 7, 0, 7], [7, 7, 7, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7], [7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 0, 0, 0, 7, 7, 0, 7, 7, 7], [0, 0, 7, 0, 7, 7, 0, 7, 7, 7, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 7, 7, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7], [0, 7, 0, 0, 0, 7, 7, 7, 7, 7, 0, 7, 7, 7, 0, 0, 0, 0, 0, 7], [0, 7, 0, 7, 0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 0, 0, 7, 7, 0, 0], [0, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0], [7, 7, 7, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 7, 7, 7, 0, 7, 7, 0], [7, 0, 0, 0, 0, 7, 7, 0, 7, 7, 0, 0, 0, 7, 7, 7, 0, 0, 7, 7], [0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [7, 7, 0, 0, 7, 7, 0, 0, 7, 7, 7, 0, 7, 0, 7, 0, 7, 7, 0, 7], [7, 7, 7, 0, 0, 0, 0, 0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 0, 0, 0], [0, 8, 0, 0, 0, 0, 8, 0, 8, 0, 0, 8, 8, 0, 8, 8, 8, 0, 0, 0], [8, 0, 0, 8, 8, 0, 8, 0, 8, 0, 0, 8, 8, 0, 0, 0, 0, 8, 0, 0], [8, 8, 0, 8, 0, 8, 8, 0, 0, 8, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0], [0, 0, 8, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 8, 0, 8, 0, 8, 8, 8], [8, 0, 0, 8, 8, 8, 8, 8, 0, 0, 8, 0, 8, 8, 8, 8, 8, 8, 0, 0], [8, 0, 8, 8, 0, 0, 8, 0, 0, 0, 8, 8, 8, 8, 0, 8, 0, 8, 0, 0], [0, 0, 8, 0, 8, 8, 0, 0, 0, 0, 0, 0, 8, 0, 0, 8, 0, 8, 0, 8], [8, 8, 0, 8, 0, 0, 0, 0, 8, 0, 0, 0, 8, 8, 8, 8, 0, 8, 8, 8], [0, 8, 8, 8, 0, 8, 8, 0, 8, 0, 0, 8, 8, 0, 8, 8, 8, 0, 0, 0], [0, 8, 8, 8, 0, 0, 0, 0, 8, 8, 0, 8, 0, 8, 8, 0, 0, 0, 0, 0], [8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 8, 0, 8, 8, 0, 8, 8, 0, 8], [0, 8, 0, 8, 8, 8, 0, 8, 0, 8, 8, 8, 0, 8, 0, 8, 0, 8, 0, 8], [0, 8, 8, 8, 8, 8, 0, 8, 0, 0, 0, 8, 8, 8, 8, 0, 0, 0, 8, 0], [0, 0, 8, 0, 8, 0, 0, 0, 8, 8, 8, 0, 0, 8, 8, 8, 8, 8, 8, 8], [0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 8, 8, 0, 0, 0, 8, 8, 8], [8, 0, 0, 0, 0, 0, 8, 0, 8, 8, 8, 8, 0, 8, 0, 8, 0, 0, 0, 8], [0, 0, 0, 0, 8, 0, 8, 0, 0, 0, 0, 8, 8, 0, 0, 8, 0, 8, 8, 8], [0, 0, 0, 0, 8, 0, 8, 0, 0, 0, 0, 0, 8, 8, 8, 0, 8, 8, 8, 0], [8, 8, 8, 8, 8, 8, 8, 0, 0, 8, 8, 0, 8, 8, 8, 0, 8, 8, 0, 0], [0, 0, 0, 8, 0, 0, 0, 8, 8, 8, 0, 0, 8, 8, 0, 8, 0, 8, 8, 8]] -> [[0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0], [0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0], [1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0], [1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1], [0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1], [0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0], [0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1], [0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1], [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 7, 0, 7, 0, 7, 7, 7, 7, 7, 0, 0, 7, 0, 0, 7, 0, 7, 7, 0], [7, 0, 0, 0, 0, 7, 0, 7, 0, 0, 7, 0, 7, 7, 0, 7, 7, 7, 0, 7], [0, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0, 7, 7, 0], [0, 0, 0, 0, 7, 0, 7, 7, 0, 0, 0, 0, 0, 0, 7, 0, 7, 7, 7, 0], [7, 7, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 7, 7, 0, 7, 0, 7, 0, 7], [7, 7, 7, 7, 7, 7, 0, 0, 7, 0, 7, 0, 7, 7, 7, 0, 7, 0, 0, 7], [0, 0, 7, 0, 0, 0, 7, 7, 0, 7, 0, 0, 0, 0, 0, 7, 0, 7, 0, 7], [0, 0, 7, 7, 0, 0, 7, 7, 7, 0, 0, 0, 0, 7, 7, 0, 7, 7, 0, 7], [7, 7, 7, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7], [7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 0, 0, 0, 7, 7, 0, 7, 7, 7], [0, 0, 7, 0, 7, 7, 0, 7, 7, 7, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 7, 7, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7], [0, 7, 0, 0, 0, 7, 7, 7, 7, 7, 0, 7, 7, 7, 0, 0, 0, 0, 0, 7], [0, 7, 0, 7, 0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 0, 0, 7, 7, 0, 0], [0, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0], [7, 7, 7, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 7, 7, 7, 0, 7, 7, 0], [7, 0, 0, 0, 0, 7, 7, 0, 7, 7, 0, 0, 0, 7, 7, 7, 0, 0, 7, 7], [0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [7, 7, 0, 0, 7, 7, 0, 0, 7, 7, 7, 0, 7, 0, 7, 0, 7, 7, 0, 7], [7, 7, 7, 0, 0, 0, 0, 0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 0, 0, 0], [0, 8, 0, 0, 0, 0, 8, 0, 8, 0, 0, 8, 8, 0, 8, 8, 8, 0, 0, 0], [8, 0, 0, 8, 8, 0, 8, 0, 8, 0, 0, 8, 8, 0, 0, 0, 0, 8, 0, 0], [8, 8, 0, 8, 0, 8, 8, 0, 0, 8, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0], [0, 0, 8, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 8, 0, 8, 0, 8, 8, 8], [8, 0, 0, 8, 8, 8, 8, 8, 0, 0, 8, 0, 8, 8, 8, 8, 8, 8, 0, 0], [8, 0, 8, 8, 0, 0, 8, 0, 0, 0, 8, 8, 8, 8, 0, 8, 0, 8, 0, 0], [0, 0, 8, 0, 8, 8, 0, 0, 0, 0, 0, 0, 8, 0, 0, 8, 0, 8, 0, 8], [8, 8, 0, 8, 0, 0, 0, 0, 8, 0, 0, 0, 8, 8, 8, 8, 0, 8, 8, 8], [0, 8, 8, 8, 0, 8, 8, 0, 8, 0, 0, 8, 8, 0, 8, 8, 8, 0, 0, 0], [0, 8, 8, 8, 0, 0, 0, 0, 8, 8, 0, 8, 0, 8, 8, 0, 0, 0, 0, 0], [8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 8, 0, 8, 8, 0, 8, 8, 0, 8], [0, 8, 0, 8, 8, 8, 0, 8, 0, 8, 8, 8, 0, 8, 0, 8, 0, 8, 0, 8], [0, 8, 8, 8, 8, 8, 0, 8, 0, 0, 0, 8, 8, 8, 8, 0, 0, 0, 8, 0], [0, 0, 8, 0, 8, 0, 0, 0, 8, 8, 8, 0, 0, 8, 8, 8, 8, 8, 8, 8], [0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 8, 8, 0, 0, 0, 8, 8, 8], [8, 0, 0, 0, 0, 0, 8, 0, 8, 8, 8, 8, 0, 8, 0, 8, 0, 0, 0, 8], [0, 0, 0, 0, 8, 0, 8, 0, 0, 0, 0, 8, 8, 0, 0, 8, 0, 8, 8, 8], [0, 0, 0, 0, 8, 0, 8, 0, 0, 0, 0, 0, 8, 8, 8, 0, 8, 8, 8, 0], [8, 8, 8, 8, 8, 8, 8, 0, 0, 8, 8, 0, 8, 8, 8, 0, 8, 8, 0, 0], [0, 0, 0, 8, 0, 0, 0, 8, 8, 8, 0, 0, 8, 8, 0, 8, 0, 8, 8, 8]] -> [[0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0], [0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0], [1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0], [1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1], [0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1], [0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0], [0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1], [0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1], [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 4, 0, 4, 0, 4, 4, 4, 4, 4, 0, 0, 4, 0, 0, 4, 0, 4, 4, 0], [4, 0, 0, 0, 0, 4, 0, 4, 0, 0, 4, 0, 4, 4, 0, 4, 4, 4, 0, 4], [0, 4, 4, 4, 4, 0, 4, 0, 4, 0, 4, 4, 0, 0, 0, 4, 0, 4, 4, 0], [0, 0, 0, 0, 4, 0, 4, 4, 0, 0, 0, 0, 0, 0, 4, 0, 4, 4, 4, 0], [4, 4, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 4, 4, 0, 4, 0, 4, 0, 4], [4, 4, 4, 4, 4, 4, 0, 0, 4, 0, 4, 0, 4, 4, 4, 0, 4, 0, 0, 4], [0, 0, 4, 0, 0, 0, 4, 4, 0, 4, 0, 0, 0, 0, 0, 4, 0, 4, 0, 4], [0, 0, 4, 4, 0, 0, 4, 4, 4, 0, 0, 0, 0, 4, 4, 0, 4, 4, 0, 4], [4, 4, 4, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 4], [4, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 0, 0, 0, 4, 4, 0, 4, 4, 4], [0, 0, 4, 0, 4, 4, 0, 4, 4, 4, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0], [0, 4, 0, 0, 0, 4, 4, 0, 0, 0, 4, 4, 0, 4, 0, 4, 0, 4, 4, 4], [0, 4, 0, 0, 0, 4, 4, 4, 4, 4, 0, 4, 4, 4, 0, 0, 0, 0, 0, 4], [0, 4, 0, 4, 0, 4, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 4, 0, 0], [0, 0, 4, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 4, 4, 0, 4, 0, 4, 0], [4, 4, 4, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0, 4, 4, 4, 0, 4, 4, 0], [4, 0, 0, 0, 0, 4, 4, 0, 4, 4, 0, 0, 0, 4, 4, 4, 0, 0, 4, 4], [0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, 4, 0, 0, 4, 4, 0, 0, 4, 4, 4, 0, 4, 0, 4, 0, 4, 4, 0, 4], [4, 4, 4, 0, 0, 0, 0, 0, 4, 4, 4, 0, 4, 0, 4, 0, 0, 0, 0, 0], [0, 8, 0, 0, 0, 0, 8, 0, 8, 0, 0, 8, 8, 0, 8, 8, 8, 0, 0, 0], [8, 0, 0, 8, 8, 0, 8, 0, 8, 0, 0, 8, 8, 0, 0, 0, 0, 8, 0, 0], [8, 8, 0, 8, 0, 8, 8, 0, 0, 8, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0], [0, 0, 8, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 8, 0, 8, 0, 8, 8, 8], [8, 0, 0, 8, 8, 8, 8, 8, 0, 0, 8, 0, 8, 8, 8, 8, 8, 8, 0, 0], [8, 0, 8, 8, 0, 0, 8, 0, 0, 0, 8, 8, 8, 8, 0, 8, 0, 8, 0, 0], [0, 0, 8, 0, 8, 8, 0, 0, 0, 0, 0, 0, 8, 0, 0, 8, 0, 8, 0, 8], [8, 8, 0, 8, 0, 0, 0, 0, 8, 0, 0, 0, 8, 8, 8, 8, 0, 8, 8, 8], [0, 8, 8, 8, 0, 8, 8, 0, 8, 0, 0, 8, 8, 0, 8, 8, 8, 0, 0, 0], [0, 8, 8, 8, 0, 0, 0, 0, 8, 8, 0, 8, 0, 8, 8, 0, 0, 0, 0, 0], [8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 8, 0, 8, 8, 0, 8, 8, 0, 8], [0, 8, 0, 8, 8, 8, 0, 8, 0, 8, 8, 8, 0, 8, 0, 8, 0, 8, 0, 8], [0, 8, 8, 8, 8, 8, 0, 8, 0, 0, 0, 8, 8, 8, 8, 0, 0, 0, 8, 0], [0, 0, 8, 0, 8, 0, 0, 0, 8, 8, 8, 0, 0, 8, 8, 8, 8, 8, 8, 8], [0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 8, 8, 0, 0, 0, 8, 8, 8], [8, 0, 0, 0, 0, 0, 8, 0, 8, 8, 8, 8, 0, 8, 0, 8, 0, 0, 0, 8], [0, 0, 0, 0, 8, 0, 8, 0, 0, 0, 0, 8, 8, 0, 0, 8, 0, 8, 8, 8], [0, 0, 0, 0, 8, 0, 8, 0, 0, 0, 0, 0, 8, 8, 8, 0, 8, 8, 8, 0], [8, 8, 8, 8, 8, 8, 8, 0, 0, 8, 8, 0, 8, 8, 8, 0, 8, 8, 0, 0], [0, 0, 0, 8, 0, 0, 0, 8, 8, 8, 0, 0, 8, 8, 0, 8, 0, 8, 8, 8]] -> ",
+                "test": {
+                    "input": [
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+                }
+            },
+            "Replicate 1": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 0, 7, 0, 7, 0], [7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 7, 0, 0, 7, 0, 7, 0, 0, 7, 7], [7, 0, 0, 0, 7, 7, 7, 0, 7, 7, 7, 0, 7, 0, 0, 7, 0, 0, 7, 0], [0, 0, 0, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0], [7, 7, 7, 0, 0, 7, 7, 7, 0, 0, 7, 0, 0, 0, 0, 7, 7, 7, 7, 7], [7, 0, 0, 0, 7, 7, 0, 7, 0, 0, 7, 7, 7, 7, 7, 0, 7, 0, 7, 7], [7, 7, 0, 0, 0, 7, 0, 0, 7, 0, 0, 7, 7, 7, 0, 7, 7, 7, 0, 0], [7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0, 7, 7, 0, 0], [7, 0, 0, 0, 0, 7, 7, 0, 0, 7, 0, 0, 7, 7, 7, 0, 0, 0, 7, 7], [0, 7, 7, 7, 0, 0, 7, 0, 0, 0, 7, 7, 0, 0, 0, 0, 7, 7, 7, 0], [7, 0, 7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7], [7, 0, 7, 7, 0, 0, 7, 7, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0], [0, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7, 0, 7, 0, 0, 0, 0, 7, 7, 0], [7, 0, 0, 7, 7, 0, 0, 7, 7, 7, 0, 0, 7, 0, 0, 7, 0, 7, 7, 0], [7, 0, 7, 0, 7, 0, 0, 7, 7, 0, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7], [7, 0, 0, 0, 7, 0, 7, 0, 7, 7, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0], [7, 7, 0, 7, 0, 7, 7, 0, 0, 7, 0, 0, 0, 7, 0, 0, 7, 7, 0, 0], [0, 7, 0, 0, 7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 7, 7, 0, 0, 7, 7], [0, 7, 7, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 0], [0, 8, 8, 0, 0, 0, 8, 0, 8, 0, 8, 8, 0, 8, 0, 0, 0, 0, 8, 8], [8, 0, 0, 0, 8, 8, 8, 0, 0, 8, 8, 8, 0, 8, 8, 8, 0, 0, 8, 0], [8, 0, 0, 0, 8, 0, 0, 8, 8, 0, 8, 8, 8, 8, 8, 8, 8, 0, 0, 0], [8, 8, 0, 0, 0, 8, 8, 8, 0, 8, 8, 0, 0, 8, 0, 8, 0, 8, 8, 8], [0, 8, 0, 0, 8, 0, 0, 0, 8, 8, 8, 8, 0, 8, 0, 8, 8, 0, 0, 0], [8, 0, 0, 0, 8, 0, 8, 8, 0, 0, 0, 8, 0, 0, 8, 0, 8, 0, 8, 0], [0, 0, 8, 0, 0, 8, 0, 0, 0, 0, 8, 8, 0, 0, 0, 8, 8, 8, 8, 8], [0, 8, 0, 8, 0, 8, 8, 0, 8, 8, 8, 0, 0, 8, 0, 0, 8, 8, 8, 8], [8, 8, 8, 0, 0, 0, 8, 0, 8, 8, 8, 8, 8, 8, 0, 8, 8, 0, 8, 8], [8, 8, 8, 0, 8, 0, 8, 0, 8, 8, 8, 8, 8, 8, 8, 0, 8, 8, 0, 0], [0, 0, 8, 8, 8, 8, 0, 8, 8, 0, 0, 0, 0, 0, 8, 8, 0, 8, 0, 8], [8, 0, 8, 8, 8, 8, 8, 0, 0, 0, 0, 8, 8, 0, 8, 8, 0, 0, 8, 0], [8, 8, 0, 0, 0, 0, 8, 8, 0, 8, 0, 8, 8, 8, 0, 8, 0, 8, 0, 8], [0, 8, 8, 8, 0, 8, 8, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0], [0, 8, 8, 0, 8, 8, 0, 8, 0, 8, 0, 8, 0, 0, 8, 0, 0, 8, 8, 8], [8, 8, 0, 8, 8, 8, 8, 8, 0, 8, 0, 8, 8, 8, 8, 8, 8, 0, 0, 8], [0, 0, 8, 0, 0, 8, 0, 8, 8, 0, 0, 0, 8, 0, 0, 0, 0, 8, 8, 0], [8, 8, 8, 8, 0, 0, 8, 0, 0, 8, 0, 0, 0, 0, 8, 0, 8, 8, 0, 8], [0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 8, 0, 8, 8, 0, 8, 8, 0, 8], [0, 8, 8, 8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 8, 0, 8, 8, 0, 8, 8]] -> [[0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0], [1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0], [1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0], [1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0], [0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0], [1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0], [0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0], [1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0], [1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0], [1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1], [0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 0, 0, 0, 0, 0, 6, 6, 0, 6, 0, 6, 0, 0, 6, 0, 6, 0, 6, 0], [6, 0, 6, 0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 6, 0, 6, 0, 0, 6, 6], [6, 0, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6, 0, 0, 6, 0, 0, 6, 0], [0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0], [6, 6, 6, 0, 0, 6, 6, 6, 0, 0, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6], [6, 0, 0, 0, 6, 6, 0, 6, 0, 0, 6, 6, 6, 6, 6, 0, 6, 0, 6, 6], [6, 6, 0, 0, 0, 6, 0, 0, 6, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 6, 0, 6, 6, 0, 0, 0, 6, 0, 6, 6, 0, 0], [6, 0, 0, 0, 0, 6, 6, 0, 0, 6, 0, 0, 6, 6, 6, 0, 0, 0, 6, 6], [0, 6, 6, 6, 0, 0, 6, 0, 0, 0, 6, 6, 0, 0, 0, 0, 6, 6, 6, 0], [6, 0, 6, 0, 6, 6, 0, 6, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6], [6, 0, 6, 6, 0, 0, 6, 6, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0], [0, 0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 0, 6, 0, 0, 0, 0, 6, 6, 0], [6, 0, 0, 6, 6, 0, 0, 6, 6, 6, 0, 0, 6, 0, 0, 6, 0, 6, 6, 0], [6, 0, 6, 0, 6, 0, 0, 6, 6, 0, 6, 0, 6, 6, 0, 6, 6, 0, 6, 6], [6, 0, 0, 0, 6, 0, 6, 0, 6, 6, 0, 0, 6, 0, 0, 0, 0, 6, 0, 0], [6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 0, 0, 0, 6, 0, 0, 6, 6, 0, 0], [0, 6, 0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 0, 0, 6, 6, 0, 0, 6, 6], [0, 6, 6, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0], [0, 8, 8, 0, 0, 0, 8, 0, 8, 0, 8, 8, 0, 8, 0, 0, 0, 0, 8, 8], [8, 0, 0, 0, 8, 8, 8, 0, 0, 8, 8, 8, 0, 8, 8, 8, 0, 0, 8, 0], [8, 0, 0, 0, 8, 0, 0, 8, 8, 0, 8, 8, 8, 8, 8, 8, 8, 0, 0, 0], [8, 8, 0, 0, 0, 8, 8, 8, 0, 8, 8, 0, 0, 8, 0, 8, 0, 8, 8, 8], [0, 8, 0, 0, 8, 0, 0, 0, 8, 8, 8, 8, 0, 8, 0, 8, 8, 0, 0, 0], [8, 0, 0, 0, 8, 0, 8, 8, 0, 0, 0, 8, 0, 0, 8, 0, 8, 0, 8, 0], [0, 0, 8, 0, 0, 8, 0, 0, 0, 0, 8, 8, 0, 0, 0, 8, 8, 8, 8, 8], [0, 8, 0, 8, 0, 8, 8, 0, 8, 8, 8, 0, 0, 8, 0, 0, 8, 8, 8, 8], [8, 8, 8, 0, 0, 0, 8, 0, 8, 8, 8, 8, 8, 8, 0, 8, 8, 0, 8, 8], [8, 8, 8, 0, 8, 0, 8, 0, 8, 8, 8, 8, 8, 8, 8, 0, 8, 8, 0, 0], [0, 0, 8, 8, 8, 8, 0, 8, 8, 0, 0, 0, 0, 0, 8, 8, 0, 8, 0, 8], [8, 0, 8, 8, 8, 8, 8, 0, 0, 0, 0, 8, 8, 0, 8, 8, 0, 0, 8, 0], [8, 8, 0, 0, 0, 0, 8, 8, 0, 8, 0, 8, 8, 8, 0, 8, 0, 8, 0, 8], [0, 8, 8, 8, 0, 8, 8, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0], [0, 8, 8, 0, 8, 8, 0, 8, 0, 8, 0, 8, 0, 0, 8, 0, 0, 8, 8, 8], [8, 8, 0, 8, 8, 8, 8, 8, 0, 8, 0, 8, 8, 8, 8, 8, 8, 0, 0, 8], [0, 0, 8, 0, 0, 8, 0, 8, 8, 0, 0, 0, 8, 0, 0, 0, 0, 8, 8, 0], [8, 8, 8, 8, 0, 0, 8, 0, 0, 8, 0, 0, 0, 0, 8, 0, 8, 8, 0, 8], [0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 8, 0, 8, 8, 0, 8, 8, 0, 8], [0, 8, 8, 8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 8, 0, 8, 8, 0, 8, 8]] -> [[0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0], [1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0], [1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0], [1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0], [0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0], [1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0], [0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0], [1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0], [1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0], [1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1], [0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0]]\nExample input-output arrays:\n[[7, 0, 7, 7, 7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 7, 7], [7, 0, 7, 7, 7, 7, 0, 7, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7, 7, 7], [0, 7, 7, 0, 0, 0, 7, 0, 0, 7, 0, 0, 7, 7, 7, 7, 7, 7, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 7, 0, 0, 7, 7, 7, 0], [0, 7, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7, 7, 0, 7, 7, 0, 7, 7], [7, 0, 7, 7, 0, 0, 0, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 0], [0, 7, 7, 7, 7, 7, 7, 7, 0, 0, 0, 7, 7, 7, 0, 7, 7, 7, 0, 0], [7, 0, 0, 7, 7, 0, 7, 7, 7, 7, 0, 0, 7, 0, 7, 7, 0, 7, 7, 7], [7, 0, 0, 7, 7, 7, 0, 7, 7, 0, 0, 7, 7, 7, 0, 0, 0, 7, 0, 0], [0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0], [7, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 0, 0, 7, 7, 7, 0, 0, 0], [7, 7, 0, 7, 0, 7, 0, 0, 7, 7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 7], [0, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 7, 7, 0], [0, 7, 7, 0, 0, 7, 7, 7, 0, 7, 0, 7, 7, 7, 7, 0, 0, 7, 0, 7], [0, 7, 7, 0, 0, 7, 7, 7, 7, 7, 7, 0, 0, 0, 7, 7, 0, 0, 7, 7], [0, 7, 7, 7, 0, 7, 7, 0, 0, 0, 7, 7, 0, 7, 0, 7, 7, 7, 7, 0], [0, 7, 7, 7, 7, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 7, 0, 0, 0, 0], [0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 0, 7, 7, 0, 0, 7, 0, 7, 7, 0], [0, 7, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7, 0, 7, 0, 7, 7, 0, 7], [7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 0, 7], [0, 0, 0, 8, 8, 8, 8, 0, 8, 8, 0, 8, 0, 0, 0, 0, 8, 0, 8, 0], [0, 0, 0, 8, 0, 8, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 0, 0, 8, 8], [8, 8, 8, 8, 0, 0, 8, 0, 8, 0, 0, 0, 0, 0, 8, 8, 0, 0, 0, 8], [8, 8, 0, 0, 8, 8, 0, 8, 8, 0, 8, 0, 0, 8, 8, 0, 8, 0, 0, 0], [0, 8, 0, 8, 0, 8, 0, 0, 8, 0, 8, 0, 0, 8, 8, 0, 8, 8, 0, 8], [0, 0, 8, 0, 8, 8, 0, 0, 0, 0, 8, 8, 0, 8, 8, 8, 0, 0, 0, 0], [8, 0, 8, 8, 8, 8, 0, 0, 8, 8, 8, 0, 0, 0, 8, 0, 0, 0, 0, 8], [8, 0, 8, 0, 8, 0, 8, 8, 8, 8, 8, 0, 0, 0, 8, 0, 8, 0, 8, 8], [0, 0, 8, 8, 0, 8, 0, 8, 8, 0, 0, 8, 0, 8, 8, 8, 8, 8, 0, 8], [0, 8, 0, 8, 0, 8, 0, 0, 8, 8, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0], [8, 0, 0, 0, 8, 8, 0, 8, 8, 8, 8, 0, 8, 8, 0, 0, 8, 0, 0, 0], [8, 8, 8, 8, 0, 0, 8, 8, 0, 0, 8, 0, 8, 8, 0, 8, 0, 0, 8, 0], [8, 8, 8, 0, 0, 8, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 0, 8, 0, 0], [0, 8, 0, 8, 8, 0, 0, 8, 0, 0, 8, 8, 0, 8, 0, 0, 0, 8, 8, 0], [8, 8, 0, 8, 8, 0, 8, 0, 0, 0, 0, 0, 8, 8, 0, 8, 0, 0, 0, 8], [0, 0, 8, 8, 8, 0, 8, 0, 8, 8, 0, 0, 8, 0, 8, 0, 0, 0, 8, 8], [8, 0, 8, 0, 0, 0, 8, 0, 8, 8, 0, 0, 0, 0, 8, 8, 0, 0, 0, 8], [0, 8, 0, 8, 0, 8, 0, 0, 8, 8, 0, 8, 0, 0, 8, 8, 8, 0, 8, 0], [0, 8, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 8, 8, 8, 0, 8, 0, 0, 8], [0, 8, 8, 0, 8, 0, 0, 8, 0, 0, 8, 0, 8, 8, 8, 0, 8, 8, 8, 8]] -> [[0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0], [0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1], [0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0], [0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1], [0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0], [0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1], [0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0], [0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0], [1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0], [0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0], [0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1], [0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0], [0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0], [0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1], [0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[9, 0, 9, 9, 9, 0, 0, 9, 0, 0, 0, 0, 0, 0, 9, 0, 9, 0, 9, 9], [9, 0, 9, 9, 9, 9, 0, 9, 9, 0, 9, 0, 0, 0, 9, 0, 0, 9, 9, 9], [0, 9, 9, 0, 0, 0, 9, 0, 0, 9, 0, 0, 9, 9, 9, 9, 9, 9, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 0, 0, 9, 0, 0, 9, 9, 9, 0], [0, 9, 0, 9, 0, 9, 0, 0, 0, 9, 0, 0, 9, 9, 0, 9, 9, 0, 9, 9], [9, 0, 9, 9, 0, 0, 0, 0, 9, 9, 9, 0, 9, 9, 9, 9, 9, 9, 9, 0], [0, 9, 9, 9, 9, 9, 9, 9, 0, 0, 0, 9, 9, 9, 0, 9, 9, 9, 0, 0], [9, 0, 0, 9, 9, 0, 9, 9, 9, 9, 0, 0, 9, 0, 9, 9, 0, 9, 9, 9], [9, 0, 0, 9, 9, 9, 0, 9, 9, 0, 0, 9, 9, 9, 0, 0, 0, 9, 0, 0], [0, 0, 0, 9, 0, 0, 0, 0, 9, 0, 0, 9, 0, 0, 9, 0, 0, 0, 0, 0], [9, 9, 9, 0, 9, 0, 9, 0, 9, 0, 9, 9, 0, 0, 9, 9, 9, 0, 0, 0], [9, 9, 0, 9, 0, 9, 0, 0, 9, 9, 0, 0, 9, 0, 0, 0, 0, 0, 0, 9], [0, 9, 9, 9, 9, 0, 9, 0, 9, 0, 9, 0, 0, 9, 0, 0, 9, 9, 9, 0], [0, 9, 9, 0, 0, 9, 9, 9, 0, 9, 0, 9, 9, 9, 9, 0, 0, 9, 0, 9], [0, 9, 9, 0, 0, 9, 9, 9, 9, 9, 9, 0, 0, 0, 9, 9, 0, 0, 9, 9], [0, 9, 9, 9, 0, 9, 9, 0, 0, 0, 9, 9, 0, 9, 0, 9, 9, 9, 9, 0], [0, 9, 9, 9, 9, 0, 9, 9, 0, 9, 0, 9, 0, 0, 9, 9, 0, 0, 0, 0], [0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 0, 9, 9, 0, 0, 9, 0, 9, 9, 0], [0, 9, 9, 9, 0, 9, 0, 9, 0, 9, 9, 9, 9, 0, 9, 0, 9, 9, 0, 9], [9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 0, 0, 0, 9, 0, 0, 0, 9], [0, 0, 0, 8, 8, 8, 8, 0, 8, 8, 0, 8, 0, 0, 0, 0, 8, 0, 8, 0], [0, 0, 0, 8, 0, 8, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 0, 0, 8, 8], [8, 8, 8, 8, 0, 0, 8, 0, 8, 0, 0, 0, 0, 0, 8, 8, 0, 0, 0, 8], [8, 8, 0, 0, 8, 8, 0, 8, 8, 0, 8, 0, 0, 8, 8, 0, 8, 0, 0, 0], [0, 8, 0, 8, 0, 8, 0, 0, 8, 0, 8, 0, 0, 8, 8, 0, 8, 8, 0, 8], [0, 0, 8, 0, 8, 8, 0, 0, 0, 0, 8, 8, 0, 8, 8, 8, 0, 0, 0, 0], [8, 0, 8, 8, 8, 8, 0, 0, 8, 8, 8, 0, 0, 0, 8, 0, 0, 0, 0, 8], [8, 0, 8, 0, 8, 0, 8, 8, 8, 8, 8, 0, 0, 0, 8, 0, 8, 0, 8, 8], [0, 0, 8, 8, 0, 8, 0, 8, 8, 0, 0, 8, 0, 8, 8, 8, 8, 8, 0, 8], [0, 8, 0, 8, 0, 8, 0, 0, 8, 8, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0], [8, 0, 0, 0, 8, 8, 0, 8, 8, 8, 8, 0, 8, 8, 0, 0, 8, 0, 0, 0], [8, 8, 8, 8, 0, 0, 8, 8, 0, 0, 8, 0, 8, 8, 0, 8, 0, 0, 8, 0], [8, 8, 8, 0, 0, 8, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 0, 8, 0, 0], [0, 8, 0, 8, 8, 0, 0, 8, 0, 0, 8, 8, 0, 8, 0, 0, 0, 8, 8, 0], [8, 8, 0, 8, 8, 0, 8, 0, 0, 0, 0, 0, 8, 8, 0, 8, 0, 0, 0, 8], [0, 0, 8, 8, 8, 0, 8, 0, 8, 8, 0, 0, 8, 0, 8, 0, 0, 0, 8, 8], [8, 0, 8, 0, 0, 0, 8, 0, 8, 8, 0, 0, 0, 0, 8, 8, 0, 0, 0, 8], [0, 8, 0, 8, 0, 8, 0, 0, 8, 8, 0, 8, 0, 0, 8, 8, 8, 0, 8, 0], [0, 8, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 8, 8, 8, 0, 8, 0, 0, 8], [0, 8, 8, 0, 8, 0, 0, 8, 0, 0, 8, 0, 8, 8, 8, 0, 8, 8, 8, 8]] -> ",
+                "test": {
+                    "input": [
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+            },
+            "Replicate 2": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[7, 0, 7, 7, 7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 7, 7], [7, 0, 7, 7, 7, 7, 0, 7, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7, 7, 7], [0, 7, 7, 0, 0, 0, 7, 0, 0, 7, 0, 0, 7, 7, 7, 7, 7, 7, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 7, 0, 0, 7, 7, 7, 0], [0, 7, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7, 7, 0, 7, 7, 0, 7, 7], [7, 0, 7, 7, 0, 0, 0, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 0], [0, 7, 7, 7, 7, 7, 7, 7, 0, 0, 0, 7, 7, 7, 0, 7, 7, 7, 0, 0], [7, 0, 0, 7, 7, 0, 7, 7, 7, 7, 0, 0, 7, 0, 7, 7, 0, 7, 7, 7], [7, 0, 0, 7, 7, 7, 0, 7, 7, 0, 0, 7, 7, 7, 0, 0, 0, 7, 0, 0], [0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0], [7, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 0, 0, 7, 7, 7, 0, 0, 0], [7, 7, 0, 7, 0, 7, 0, 0, 7, 7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 7], [0, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 7, 7, 0], [0, 7, 7, 0, 0, 7, 7, 7, 0, 7, 0, 7, 7, 7, 7, 0, 0, 7, 0, 7], [0, 7, 7, 0, 0, 7, 7, 7, 7, 7, 7, 0, 0, 0, 7, 7, 0, 0, 7, 7], [0, 7, 7, 7, 0, 7, 7, 0, 0, 0, 7, 7, 0, 7, 0, 7, 7, 7, 7, 0], [0, 7, 7, 7, 7, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 7, 0, 0, 0, 0], [0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 0, 7, 7, 0, 0, 7, 0, 7, 7, 0], [0, 7, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7, 0, 7, 0, 7, 7, 0, 7], [7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 0, 7], [0, 0, 0, 8, 8, 8, 8, 0, 8, 8, 0, 8, 0, 0, 0, 0, 8, 0, 8, 0], [0, 0, 0, 8, 0, 8, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 0, 0, 8, 8], [8, 8, 8, 8, 0, 0, 8, 0, 8, 0, 0, 0, 0, 0, 8, 8, 0, 0, 0, 8], [8, 8, 0, 0, 8, 8, 0, 8, 8, 0, 8, 0, 0, 8, 8, 0, 8, 0, 0, 0], [0, 8, 0, 8, 0, 8, 0, 0, 8, 0, 8, 0, 0, 8, 8, 0, 8, 8, 0, 8], [0, 0, 8, 0, 8, 8, 0, 0, 0, 0, 8, 8, 0, 8, 8, 8, 0, 0, 0, 0], [8, 0, 8, 8, 8, 8, 0, 0, 8, 8, 8, 0, 0, 0, 8, 0, 0, 0, 0, 8], [8, 0, 8, 0, 8, 0, 8, 8, 8, 8, 8, 0, 0, 0, 8, 0, 8, 0, 8, 8], [0, 0, 8, 8, 0, 8, 0, 8, 8, 0, 0, 8, 0, 8, 8, 8, 8, 8, 0, 8], [0, 8, 0, 8, 0, 8, 0, 0, 8, 8, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0], [8, 0, 0, 0, 8, 8, 0, 8, 8, 8, 8, 0, 8, 8, 0, 0, 8, 0, 0, 0], [8, 8, 8, 8, 0, 0, 8, 8, 0, 0, 8, 0, 8, 8, 0, 8, 0, 0, 8, 0], [8, 8, 8, 0, 0, 8, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 0, 8, 0, 0], [0, 8, 0, 8, 8, 0, 0, 8, 0, 0, 8, 8, 0, 8, 0, 0, 0, 8, 8, 0], [8, 8, 0, 8, 8, 0, 8, 0, 0, 0, 0, 0, 8, 8, 0, 8, 0, 0, 0, 8], [0, 0, 8, 8, 8, 0, 8, 0, 8, 8, 0, 0, 8, 0, 8, 0, 0, 0, 8, 8], [8, 0, 8, 0, 0, 0, 8, 0, 8, 8, 0, 0, 0, 0, 8, 8, 0, 0, 0, 8], [0, 8, 0, 8, 0, 8, 0, 0, 8, 8, 0, 8, 0, 0, 8, 8, 8, 0, 8, 0], [0, 8, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 8, 8, 8, 0, 8, 0, 0, 8], [0, 8, 8, 0, 8, 0, 0, 8, 0, 0, 8, 0, 8, 8, 8, 0, 8, 8, 8, 8]] -> [[0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0], [0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1], [0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0], [0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1], [0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0], [0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1], [0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0], [0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0], [1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0], [0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0], [0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1], [0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0], [0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0], [0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1], [0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 8, 8, 8, 0, 8, 8, 0, 8, 0, 0, 0, 0, 8, 0, 8, 0], [0, 0, 0, 8, 0, 8, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 0, 0, 8, 8], [8, 8, 8, 8, 0, 0, 8, 0, 8, 0, 0, 0, 0, 0, 8, 8, 0, 0, 0, 8], [8, 8, 0, 0, 8, 8, 0, 8, 8, 0, 8, 0, 0, 8, 8, 0, 8, 0, 0, 0], [0, 8, 0, 8, 0, 8, 0, 0, 8, 0, 8, 0, 0, 8, 8, 0, 8, 8, 0, 8], [0, 0, 8, 0, 8, 8, 0, 0, 0, 0, 8, 8, 0, 8, 8, 8, 0, 0, 0, 0], [8, 0, 8, 8, 8, 8, 0, 0, 8, 8, 8, 0, 0, 0, 8, 0, 0, 0, 0, 8], [8, 0, 8, 0, 8, 0, 8, 8, 8, 8, 8, 0, 0, 0, 8, 0, 8, 0, 8, 8], [0, 0, 8, 8, 0, 8, 0, 8, 8, 0, 0, 8, 0, 8, 8, 8, 8, 8, 0, 8], [0, 8, 0, 8, 0, 8, 0, 0, 8, 8, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0], [8, 0, 0, 0, 8, 8, 0, 8, 8, 8, 8, 0, 8, 8, 0, 0, 8, 0, 0, 0], [8, 8, 8, 8, 0, 0, 8, 8, 0, 0, 8, 0, 8, 8, 0, 8, 0, 0, 8, 0], [8, 8, 8, 0, 0, 8, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 0, 8, 0, 0], [0, 8, 0, 8, 8, 0, 0, 8, 0, 0, 8, 8, 0, 8, 0, 0, 0, 8, 8, 0], [8, 8, 0, 8, 8, 0, 8, 0, 0, 0, 0, 0, 8, 8, 0, 8, 0, 0, 0, 8], [0, 0, 8, 8, 8, 0, 8, 0, 8, 8, 0, 0, 8, 0, 8, 0, 0, 0, 8, 8], [8, 0, 8, 0, 0, 0, 8, 0, 8, 8, 0, 0, 0, 0, 8, 8, 0, 0, 0, 8], [0, 8, 0, 8, 0, 8, 0, 0, 8, 8, 0, 8, 0, 0, 8, 8, 8, 0, 8, 0], [0, 8, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 8, 8, 8, 0, 8, 0, 0, 8], [0, 8, 8, 0, 8, 0, 0, 8, 0, 0, 8, 0, 8, 8, 8, 0, 8, 8, 8, 8]] -> [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[7, 0, 0, 0, 7, 0, 0, 7, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7], [7, 7, 0, 0, 0, 7, 7, 0, 0, 7, 7, 7, 0, 7, 7, 0, 7, 7, 7, 0], [7, 0, 7, 0, 0, 7, 7, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0], [7, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 7, 0], [0, 7, 7, 7, 7, 0, 0, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 7, 7], [0, 0, 7, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 7, 0, 0], [7, 7, 0, 7, 7, 0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 7, 0, 7], [0, 0, 7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0], [7, 7, 0, 0, 7, 7, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 7, 0], [7, 7, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 0, 7, 0, 7, 0, 0], [0, 0, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 7], [0, 0, 0, 7, 7, 7, 7, 7, 0, 0, 0, 7, 0, 0, 0, 7, 7, 7, 0, 7], [0, 0, 7, 7, 0, 0, 7, 0, 0, 7, 0, 0, 0, 7, 7, 0, 7, 7, 7, 0], [7, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0], [7, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7, 0, 7, 0, 7, 7], [7, 7, 7, 7, 0, 7, 0, 7, 7, 7, 7, 0, 7, 0, 0, 0, 7, 7, 7, 7], [0, 0, 0, 0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 7, 0, 7, 7, 7], [7, 0, 7, 0, 7, 7, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7], [7, 7, 7, 7, 7, 0, 0, 7, 0, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0, 7], [0, 7, 7, 7, 7, 7, 0, 7, 7, 0, 0, 0, 7, 0, 0, 7, 7, 7, 7, 0], [8, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 8, 0, 8, 8, 8, 8, 8, 0], [0, 0, 0, 0, 0, 8, 8, 8, 8, 8, 8, 0, 8, 0, 0, 8, 8, 8, 0, 0], [0, 8, 0, 0, 0, 8, 0, 0, 8, 0, 0, 8, 0, 0, 0, 0, 0, 8, 8, 0], [8, 8, 0, 8, 8, 0, 0, 0, 8, 8, 0, 8, 0, 0, 0, 8, 0, 8, 8, 8], [0, 0, 8, 0, 0, 0, 0, 0, 8, 0, 0, 8, 0, 8, 8, 8, 8, 8, 8, 8], [8, 8, 0, 8, 8, 8, 0, 8, 8, 8, 8, 0, 8, 0, 8, 8, 0, 0, 0, 0], [0, 0, 8, 8, 8, 0, 0, 8, 0, 8, 0, 0, 0, 0, 8, 0, 8, 8, 8, 8], [8, 8, 8, 0, 0, 0, 0, 8, 0, 8, 0, 8, 0, 0, 0, 8, 8, 0, 0, 0], [8, 0, 8, 8, 8, 0, 0, 0, 8, 0, 0, 8, 8, 0, 8, 0, 0, 0, 8, 8], [8, 8, 8, 8, 0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 8, 0, 0, 0], [8, 0, 8, 8, 8, 0, 8, 0, 8, 8, 8, 8, 8, 0, 8, 8, 0, 8, 0, 0], [8, 8, 8, 0, 0, 0, 8, 8, 8, 8, 0, 0, 0, 0, 8, 8, 8, 8, 0, 8], [8, 8, 8, 8, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 8, 0, 0, 8, 8, 0], [8, 8, 8, 0, 8, 8, 8, 8, 0, 0, 0, 0, 8, 0, 8, 8, 0, 8, 8, 8], [0, 8, 8, 8, 0, 0, 0, 8, 0, 0, 8, 8, 0, 8, 0, 0, 8, 0, 0, 0], [0, 8, 8, 8, 0, 0, 0, 8, 8, 8, 8, 8, 0, 8, 0, 8, 8, 8, 0, 8], [0, 0, 8, 0, 8, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 8, 8, 0, 0, 8], [0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 0, 0, 8, 0, 8, 0, 0, 8, 0, 8], [8, 8, 0, 8, 8, 0, 8, 8, 8, 8, 8, 0, 0, 0, 8, 8, 8, 8, 0, 0], [0, 0, 8, 8, 0, 0, 0, 0, 8, 8, 8, 8, 0, 8, 8, 0, 0, 8, 0, 0]] -> [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0], [0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0], [0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0], [1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0], [0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1], [0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1], [0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0], [1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1], [0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0], [1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0], [0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1], [0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1], [0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1], [1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[7, 0, 0, 0, 7, 0, 0, 7, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7], [7, 7, 0, 0, 0, 7, 7, 0, 0, 7, 7, 7, 0, 7, 7, 0, 7, 7, 7, 0], [7, 0, 7, 0, 0, 7, 7, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0], [7, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 7, 0], [0, 7, 7, 7, 7, 0, 0, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 7, 7], [0, 0, 7, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 7, 0, 0], [7, 7, 0, 7, 7, 0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 7, 0, 7], [0, 0, 7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0], [7, 7, 0, 0, 7, 7, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 7, 0], [7, 7, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 0, 7, 0, 7, 0, 0], [0, 0, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 7], [0, 0, 0, 7, 7, 7, 7, 7, 0, 0, 0, 7, 0, 0, 0, 7, 7, 7, 0, 7], [0, 0, 7, 7, 0, 0, 7, 0, 0, 7, 0, 0, 0, 7, 7, 0, 7, 7, 7, 0], [7, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0], [7, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7, 0, 7, 0, 7, 7], [7, 7, 7, 7, 0, 7, 0, 7, 7, 7, 7, 0, 7, 0, 0, 0, 7, 7, 7, 7], [0, 0, 0, 0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 7, 0, 7, 7, 7], [7, 0, 7, 0, 7, 7, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7], [7, 7, 7, 7, 7, 0, 0, 7, 0, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0, 7], [0, 7, 7, 7, 7, 7, 0, 7, 7, 0, 0, 0, 7, 0, 0, 7, 7, 7, 7, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
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+                        [
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+                        [
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+            },
+            "Replicate 3": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[7, 0, 0, 7, 7, 7, 0, 0, 0, 7, 0, 7, 7, 0, 7, 7, 0, 0, 0, 7], [7, 7, 0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7, 7, 0, 0, 7, 0], [0, 7, 0, 0, 0, 0, 7, 0, 7, 0, 7, 7, 0, 0, 0, 7, 7, 7, 7, 7], [0, 0, 7, 0, 7, 7, 0, 7, 7, 0, 0, 0, 7, 0, 7, 7, 7, 7, 7, 7], [7, 0, 7, 0, 7, 7, 7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7, 7, 0, 7], [0, 0, 0, 7, 0, 7, 7, 0, 7, 7, 7, 0, 7, 0, 0, 0, 0, 0, 0, 7], [0, 7, 0, 0, 7, 0, 7, 7, 7, 0, 0, 7, 0, 7, 7, 7, 0, 0, 0, 7], [7, 7, 0, 7, 0, 7, 7, 7, 7, 0, 7, 0, 0, 7, 7, 0, 7, 7, 7, 0], [0, 7, 0, 7, 0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 0, 7, 0, 7, 7, 0], [7, 0, 7, 7, 0, 7, 7, 7, 7, 0, 0, 0, 7, 0, 0, 0, 7, 7, 0, 0], [0, 7, 7, 7, 7, 7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 0, 0, 0], [0, 7, 7, 0, 0, 7, 0, 0, 0, 7, 7, 0, 7, 7, 7, 0, 0, 7, 7, 0], [0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 0, 7, 7, 0, 7, 7, 0, 0, 7, 7], [7, 7, 0, 0, 0, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0], [7, 0, 0, 0, 7, 7, 0, 7, 0, 7, 7, 7, 0, 0, 0, 0, 7, 7, 7, 0], [0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 7, 0, 7, 7, 7, 7, 7], [7, 7, 0, 7, 0, 7, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 0, 7, 0, 7], [0, 0, 0, 7, 0, 7, 7, 7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0], [0, 0, 0, 7, 7, 0, 7, 7, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7], [7, 0, 7, 7, 7, 7, 0, 0, 7, 7, 0, 7, 0, 7, 7, 7, 0, 0, 7, 0], [8, 8, 8, 8, 0, 0, 8, 0, 0, 8, 8, 0, 8, 8, 0, 0, 8, 8, 8, 8], [8, 0, 8, 0, 8, 0, 8, 0, 0, 8, 0, 0, 8, 0, 0, 8, 8, 8, 8, 8], [0, 0, 8, 0, 0, 0, 8, 8, 0, 0, 8, 8, 8, 8, 8, 0, 0, 8, 8, 0], [0, 8, 0, 0, 8, 0, 8, 8, 8, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 0, 8, 8, 0, 0, 8, 0, 8, 8, 0, 8, 0, 8, 0, 8], [0, 0, 0, 0, 8, 8, 0, 8, 0, 8, 0, 0, 0, 8, 8, 0, 0, 8, 0, 8], [0, 0, 8, 8, 8, 8, 8, 8, 0, 0, 0, 8, 8, 8, 0, 8, 8, 0, 0, 8], [8, 8, 8, 0, 8, 8, 8, 0, 0, 8, 0, 0, 0, 8, 8, 0, 8, 8, 0, 0], [8, 8, 8, 0, 0, 0, 8, 0, 0, 8, 8, 0, 0, 8, 0, 0, 0, 0, 0, 0], [8, 0, 8, 0, 8, 8, 0, 8, 8, 0, 0, 8, 8, 8, 8, 8, 0, 0, 0, 8], [0, 8, 0, 8, 0, 8, 0, 8, 8, 0, 0, 0, 8, 0, 8, 0, 8, 8, 8, 8], [0, 0, 8, 0, 8, 8, 8, 0, 8, 0, 0, 8, 8, 0, 8, 0, 8, 8, 0, 8], [8, 0, 0, 0, 0, 8, 8, 8, 8, 8, 0, 0, 8, 8, 0, 0, 8, 0, 0, 8], [0, 8, 0, 0, 8, 8, 0, 0, 0, 8, 0, 0, 8, 0, 8, 8, 0, 0, 8, 0], [8, 8, 0, 8, 0, 0, 8, 0, 0, 8, 8, 0, 0, 0, 8, 0, 0, 8, 0, 8], [0, 8, 0, 8, 0, 0, 0, 0, 0, 8, 0, 0, 8, 0, 8, 0, 0, 8, 8, 0], [0, 0, 8, 8, 8, 8, 8, 0, 8, 0, 0, 8, 0, 0, 8, 8, 0, 0, 8, 0], [0, 8, 0, 8, 8, 8, 0, 8, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 8, 8], [0, 8, 8, 0, 0, 8, 8, 8, 8, 8, 8, 0, 8, 0, 0, 8, 0, 8, 0, 0], [0, 0, 8, 8, 8, 0, 0, 0, 0, 8, 8, 0, 8, 0, 0, 0, 8, 0, 8, 8]] -> [[1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1], [1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0], [0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1], [0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1], [1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0], [1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0], [0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0], [0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2], [2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0], [0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2], [0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2], [2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2], [0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2], [0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2], [2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0], [0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0], [2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0], [0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0], [0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0], [0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2], [2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0], [2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0], [0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2], [2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2], [0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0], [0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2], [2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0], [8, 8, 8, 8, 0, 0, 8, 0, 0, 8, 8, 0, 8, 8, 0, 0, 8, 8, 8, 8], [8, 0, 8, 0, 8, 0, 8, 0, 0, 8, 0, 0, 8, 0, 0, 8, 8, 8, 8, 8], [0, 0, 8, 0, 0, 0, 8, 8, 0, 0, 8, 8, 8, 8, 8, 0, 0, 8, 8, 0], [0, 8, 0, 0, 8, 0, 8, 8, 8, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 0, 8, 8, 0, 0, 8, 0, 8, 8, 0, 8, 0, 8, 0, 8], [0, 0, 0, 0, 8, 8, 0, 8, 0, 8, 0, 0, 0, 8, 8, 0, 0, 8, 0, 8], [0, 0, 8, 8, 8, 8, 8, 8, 0, 0, 0, 8, 8, 8, 0, 8, 8, 0, 0, 8], [8, 8, 8, 0, 8, 8, 8, 0, 0, 8, 0, 0, 0, 8, 8, 0, 8, 8, 0, 0], [8, 8, 8, 0, 0, 0, 8, 0, 0, 8, 8, 0, 0, 8, 0, 0, 0, 0, 0, 0], [8, 0, 8, 0, 8, 8, 0, 8, 8, 0, 0, 8, 8, 8, 8, 8, 0, 0, 0, 8], [0, 8, 0, 8, 0, 8, 0, 8, 8, 0, 0, 0, 8, 0, 8, 0, 8, 8, 8, 8], [0, 0, 8, 0, 8, 8, 8, 0, 8, 0, 0, 8, 8, 0, 8, 0, 8, 8, 0, 8], [8, 0, 0, 0, 0, 8, 8, 8, 8, 8, 0, 0, 8, 8, 0, 0, 8, 0, 0, 8], [0, 8, 0, 0, 8, 8, 0, 0, 0, 8, 0, 0, 8, 0, 8, 8, 0, 0, 8, 0], [8, 8, 0, 8, 0, 0, 8, 0, 0, 8, 8, 0, 0, 0, 8, 0, 0, 8, 0, 8], [0, 8, 0, 8, 0, 0, 0, 0, 0, 8, 0, 0, 8, 0, 8, 0, 0, 8, 8, 0], [0, 0, 8, 8, 8, 8, 8, 0, 8, 0, 0, 8, 0, 0, 8, 8, 0, 0, 8, 0], [0, 8, 0, 8, 8, 8, 0, 8, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 8, 8], [0, 8, 8, 0, 0, 8, 8, 8, 8, 8, 8, 0, 8, 0, 0, 8, 0, 8, 0, 0], [0, 0, 8, 8, 8, 0, 0, 0, 0, 8, 8, 0, 8, 0, 0, 0, 8, 0, 8, 8]] -> [[1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1], [1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0], [0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1], [0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1], [1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0], [1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0], [0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0], [0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0]]\nExample input-output arrays:\n[[0, 7, 0, 7, 0, 7, 7, 7, 7, 7, 0, 0, 7, 0, 0, 7, 0, 7, 7, 0], [7, 0, 0, 0, 0, 7, 0, 7, 0, 0, 7, 0, 7, 7, 0, 7, 7, 7, 0, 7], [0, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0, 7, 7, 0], [0, 0, 0, 0, 7, 0, 7, 7, 0, 0, 0, 0, 0, 0, 7, 0, 7, 7, 7, 0], [7, 7, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 7, 7, 0, 7, 0, 7, 0, 7], [7, 7, 7, 7, 7, 7, 0, 0, 7, 0, 7, 0, 7, 7, 7, 0, 7, 0, 0, 7], [0, 0, 7, 0, 0, 0, 7, 7, 0, 7, 0, 0, 0, 0, 0, 7, 0, 7, 0, 7], [0, 0, 7, 7, 0, 0, 7, 7, 7, 0, 0, 0, 0, 7, 7, 0, 7, 7, 0, 7], [7, 7, 7, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7], [7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 0, 0, 0, 7, 7, 0, 7, 7, 7], [0, 0, 7, 0, 7, 7, 0, 7, 7, 7, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 7, 7, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7], [0, 7, 0, 0, 0, 7, 7, 7, 7, 7, 0, 7, 7, 7, 0, 0, 0, 0, 0, 7], [0, 7, 0, 7, 0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 0, 0, 7, 7, 0, 0], [0, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0], [7, 7, 7, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 7, 7, 7, 0, 7, 7, 0], [7, 0, 0, 0, 0, 7, 7, 0, 7, 7, 0, 0, 0, 7, 7, 7, 0, 0, 7, 7], [0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [7, 7, 0, 0, 7, 7, 0, 0, 7, 7, 7, 0, 7, 0, 7, 0, 7, 7, 0, 7], [7, 7, 7, 0, 0, 0, 0, 0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 0, 0, 0], [0, 8, 0, 0, 0, 0, 8, 0, 8, 0, 0, 8, 8, 0, 8, 8, 8, 0, 0, 0], [8, 0, 0, 8, 8, 0, 8, 0, 8, 0, 0, 8, 8, 0, 0, 0, 0, 8, 0, 0], [8, 8, 0, 8, 0, 8, 8, 0, 0, 8, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0], [0, 0, 8, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 8, 0, 8, 0, 8, 8, 8], [8, 0, 0, 8, 8, 8, 8, 8, 0, 0, 8, 0, 8, 8, 8, 8, 8, 8, 0, 0], [8, 0, 8, 8, 0, 0, 8, 0, 0, 0, 8, 8, 8, 8, 0, 8, 0, 8, 0, 0], [0, 0, 8, 0, 8, 8, 0, 0, 0, 0, 0, 0, 8, 0, 0, 8, 0, 8, 0, 8], [8, 8, 0, 8, 0, 0, 0, 0, 8, 0, 0, 0, 8, 8, 8, 8, 0, 8, 8, 8], [0, 8, 8, 8, 0, 8, 8, 0, 8, 0, 0, 8, 8, 0, 8, 8, 8, 0, 0, 0], [0, 8, 8, 8, 0, 0, 0, 0, 8, 8, 0, 8, 0, 8, 8, 0, 0, 0, 0, 0], [8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 8, 0, 8, 8, 0, 8, 8, 0, 8], [0, 8, 0, 8, 8, 8, 0, 8, 0, 8, 8, 8, 0, 8, 0, 8, 0, 8, 0, 8], [0, 8, 8, 8, 8, 8, 0, 8, 0, 0, 0, 8, 8, 8, 8, 0, 0, 0, 8, 0], [0, 0, 8, 0, 8, 0, 0, 0, 8, 8, 8, 0, 0, 8, 8, 8, 8, 8, 8, 8], [0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 8, 8, 0, 0, 0, 8, 8, 8], [8, 0, 0, 0, 0, 0, 8, 0, 8, 8, 8, 8, 0, 8, 0, 8, 0, 0, 0, 8], [0, 0, 0, 0, 8, 0, 8, 0, 0, 0, 0, 8, 8, 0, 0, 8, 0, 8, 8, 8], [0, 0, 0, 0, 8, 0, 8, 0, 0, 0, 0, 0, 8, 8, 8, 0, 8, 8, 8, 0], [8, 8, 8, 8, 8, 8, 8, 0, 0, 8, 8, 0, 8, 8, 8, 0, 8, 8, 0, 0], [0, 0, 0, 8, 0, 0, 0, 8, 8, 8, 0, 0, 8, 8, 0, 8, 0, 8, 8, 8]] -> [[0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0], [0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0], [1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0], [1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1], [0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1], [0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0], [0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1], [0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1], [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [0, 8, 0, 0, 0, 0, 8, 0, 8, 0, 0, 8, 8, 0, 8, 8, 8, 0, 0, 0], [8, 0, 0, 8, 8, 0, 8, 0, 8, 0, 0, 8, 8, 0, 0, 0, 0, 8, 0, 0], [8, 8, 0, 8, 0, 8, 8, 0, 0, 8, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0], [0, 0, 8, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 8, 0, 8, 0, 8, 8, 8], [8, 0, 0, 8, 8, 8, 8, 8, 0, 0, 8, 0, 8, 8, 8, 8, 8, 8, 0, 0], [8, 0, 8, 8, 0, 0, 8, 0, 0, 0, 8, 8, 8, 8, 0, 8, 0, 8, 0, 0], [0, 0, 8, 0, 8, 8, 0, 0, 0, 0, 0, 0, 8, 0, 0, 8, 0, 8, 0, 8], [8, 8, 0, 8, 0, 0, 0, 0, 8, 0, 0, 0, 8, 8, 8, 8, 0, 8, 8, 8], [0, 8, 8, 8, 0, 8, 8, 0, 8, 0, 0, 8, 8, 0, 8, 8, 8, 0, 0, 0], [0, 8, 8, 8, 0, 0, 0, 0, 8, 8, 0, 8, 0, 8, 8, 0, 0, 0, 0, 0], [8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 8, 0, 8, 8, 0, 8, 8, 0, 8], [0, 8, 0, 8, 8, 8, 0, 8, 0, 8, 8, 8, 0, 8, 0, 8, 0, 8, 0, 8], [0, 8, 8, 8, 8, 8, 0, 8, 0, 0, 0, 8, 8, 8, 8, 0, 0, 0, 8, 0], [0, 0, 8, 0, 8, 0, 0, 0, 8, 8, 8, 0, 0, 8, 8, 8, 8, 8, 8, 8], [0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 8, 8, 0, 0, 0, 8, 8, 8], [8, 0, 0, 0, 0, 0, 8, 0, 8, 8, 8, 8, 0, 8, 0, 8, 0, 0, 0, 8], [0, 0, 0, 0, 8, 0, 8, 0, 0, 0, 0, 8, 8, 0, 0, 8, 0, 8, 8, 8], [0, 0, 0, 0, 8, 0, 8, 0, 0, 0, 0, 0, 8, 8, 8, 0, 8, 8, 8, 0], [8, 8, 8, 8, 8, 8, 8, 0, 0, 8, 8, 0, 8, 8, 8, 0, 8, 8, 0, 0], [0, 0, 0, 8, 0, 0, 0, 8, 8, 8, 0, 0, 8, 8, 0, 8, 0, 8, 8, 8]] -> ",
+                "test": {
+                    "input": [
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+            },
+            "Replicate 4": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[7, 0, 0, 0, 7, 0, 0, 7, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7], [7, 7, 0, 0, 0, 7, 7, 0, 0, 7, 7, 7, 0, 7, 7, 0, 7, 7, 7, 0], [7, 0, 7, 0, 0, 7, 7, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0], [7, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 7, 0], [0, 7, 7, 7, 7, 0, 0, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 7, 7], [0, 0, 7, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 7, 0, 0], [7, 7, 0, 7, 7, 0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 7, 0, 7], [0, 0, 7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0], [7, 7, 0, 0, 7, 7, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 7, 0], [7, 7, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 0, 7, 0, 7, 0, 0], [0, 0, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 7], [0, 0, 0, 7, 7, 7, 7, 7, 0, 0, 0, 7, 0, 0, 0, 7, 7, 7, 0, 7], [0, 0, 7, 7, 0, 0, 7, 0, 0, 7, 0, 0, 0, 7, 7, 0, 7, 7, 7, 0], [7, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0], [7, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7, 0, 7, 0, 7, 7], [7, 7, 7, 7, 0, 7, 0, 7, 7, 7, 7, 0, 7, 0, 0, 0, 7, 7, 7, 7], [0, 0, 0, 0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 7, 0, 7, 7, 7], [7, 0, 7, 0, 7, 7, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7], [7, 7, 7, 7, 7, 0, 0, 7, 0, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0, 7], [0, 7, 7, 7, 7, 7, 0, 7, 7, 0, 0, 0, 7, 0, 0, 7, 7, 7, 7, 0], [8, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 8, 0, 8, 8, 8, 8, 8, 0], [0, 0, 0, 0, 0, 8, 8, 8, 8, 8, 8, 0, 8, 0, 0, 8, 8, 8, 0, 0], [0, 8, 0, 0, 0, 8, 0, 0, 8, 0, 0, 8, 0, 0, 0, 0, 0, 8, 8, 0], [8, 8, 0, 8, 8, 0, 0, 0, 8, 8, 0, 8, 0, 0, 0, 8, 0, 8, 8, 8], [0, 0, 8, 0, 0, 0, 0, 0, 8, 0, 0, 8, 0, 8, 8, 8, 8, 8, 8, 8], [8, 8, 0, 8, 8, 8, 0, 8, 8, 8, 8, 0, 8, 0, 8, 8, 0, 0, 0, 0], [0, 0, 8, 8, 8, 0, 0, 8, 0, 8, 0, 0, 0, 0, 8, 0, 8, 8, 8, 8], [8, 8, 8, 0, 0, 0, 0, 8, 0, 8, 0, 8, 0, 0, 0, 8, 8, 0, 0, 0], [8, 0, 8, 8, 8, 0, 0, 0, 8, 0, 0, 8, 8, 0, 8, 0, 0, 0, 8, 8], [8, 8, 8, 8, 0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 8, 0, 0, 0], [8, 0, 8, 8, 8, 0, 8, 0, 8, 8, 8, 8, 8, 0, 8, 8, 0, 8, 0, 0], [8, 8, 8, 0, 0, 0, 8, 8, 8, 8, 0, 0, 0, 0, 8, 8, 8, 8, 0, 8], [8, 8, 8, 8, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 8, 0, 0, 8, 8, 0], [8, 8, 8, 0, 8, 8, 8, 8, 0, 0, 0, 0, 8, 0, 8, 8, 0, 8, 8, 8], [0, 8, 8, 8, 0, 0, 0, 8, 0, 0, 8, 8, 0, 8, 0, 0, 8, 0, 0, 0], [0, 8, 8, 8, 0, 0, 0, 8, 8, 8, 8, 8, 0, 8, 0, 8, 8, 8, 0, 8], [0, 0, 8, 0, 8, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 8, 8, 0, 0, 8], [0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 0, 0, 8, 0, 8, 0, 0, 8, 0, 8], [8, 8, 0, 8, 8, 0, 8, 8, 8, 8, 8, 0, 0, 0, 8, 8, 8, 8, 0, 0], [0, 0, 8, 8, 0, 0, 0, 0, 8, 8, 8, 8, 0, 8, 8, 0, 0, 8, 0, 0]] -> [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0], [0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0], [0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0], [1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0], [0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1], [0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1], [0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0], [1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1], [0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0], [1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0], [0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1], [0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1], [0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1], [1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0]]\nExample input-output arrays:\n[[7, 0, 0, 0, 7, 0, 0, 7, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7], [7, 7, 0, 0, 0, 7, 7, 0, 0, 7, 7, 7, 0, 7, 7, 0, 7, 7, 7, 0], [7, 0, 7, 0, 0, 7, 7, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0], [7, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 7, 0], [0, 7, 7, 7, 7, 0, 0, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 7, 7], [0, 0, 7, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 7, 0, 0], [7, 7, 0, 7, 7, 0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 7, 0, 7], [0, 0, 7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0], [7, 7, 0, 0, 7, 7, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 7, 0], [7, 7, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 0, 7, 0, 7, 0, 0], [0, 0, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 7], [0, 0, 0, 7, 7, 7, 7, 7, 0, 0, 0, 7, 0, 0, 0, 7, 7, 7, 0, 7], [0, 0, 7, 7, 0, 0, 7, 0, 0, 7, 0, 0, 0, 7, 7, 0, 7, 7, 7, 0], [7, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0], [7, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7, 0, 7, 0, 7, 7], [7, 7, 7, 7, 0, 7, 0, 7, 7, 7, 7, 0, 7, 0, 0, 0, 7, 7, 7, 7], [0, 0, 0, 0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 7, 0, 7, 7, 7], [7, 0, 7, 0, 7, 7, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7], [7, 7, 7, 7, 7, 0, 0, 7, 0, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0, 7], [0, 7, 7, 7, 7, 7, 0, 7, 7, 0, 0, 0, 7, 0, 0, 7, 7, 7, 7, 0], [8, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 8, 0, 8, 8, 8, 8, 8, 0], [0, 0, 0, 0, 0, 8, 8, 8, 8, 8, 8, 0, 8, 0, 0, 8, 8, 8, 0, 0], [0, 8, 0, 0, 0, 8, 0, 0, 8, 0, 0, 8, 0, 0, 0, 0, 0, 8, 8, 0], [8, 8, 0, 8, 8, 0, 0, 0, 8, 8, 0, 8, 0, 0, 0, 8, 0, 8, 8, 8], [0, 0, 8, 0, 0, 0, 0, 0, 8, 0, 0, 8, 0, 8, 8, 8, 8, 8, 8, 8], [8, 8, 0, 8, 8, 8, 0, 8, 8, 8, 8, 0, 8, 0, 8, 8, 0, 0, 0, 0], [0, 0, 8, 8, 8, 0, 0, 8, 0, 8, 0, 0, 0, 0, 8, 0, 8, 8, 8, 8], [8, 8, 8, 0, 0, 0, 0, 8, 0, 8, 0, 8, 0, 0, 0, 8, 8, 0, 0, 0], [8, 0, 8, 8, 8, 0, 0, 0, 8, 0, 0, 8, 8, 0, 8, 0, 0, 0, 8, 8], [8, 8, 8, 8, 0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 8, 0, 0, 0], [8, 0, 8, 8, 8, 0, 8, 0, 8, 8, 8, 8, 8, 0, 8, 8, 0, 8, 0, 0], [8, 8, 8, 0, 0, 0, 8, 8, 8, 8, 0, 0, 0, 0, 8, 8, 8, 8, 0, 8], [8, 8, 8, 8, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 8, 0, 0, 8, 8, 0], [8, 8, 8, 0, 8, 8, 8, 8, 0, 0, 0, 0, 8, 0, 8, 8, 0, 8, 8, 8], [0, 8, 8, 8, 0, 0, 0, 8, 0, 0, 8, 8, 0, 8, 0, 0, 8, 0, 0, 0], [0, 8, 8, 8, 0, 0, 0, 8, 8, 8, 8, 8, 0, 8, 0, 8, 8, 8, 0, 8], [0, 0, 8, 0, 8, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 8, 8, 0, 0, 8], [0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 0, 0, 8, 0, 8, 0, 0, 8, 0, 8], [8, 8, 0, 8, 8, 0, 8, 8, 8, 8, 8, 0, 0, 0, 8, 8, 8, 8, 0, 0], [0, 0, 8, 8, 0, 0, 0, 0, 8, 8, 8, 8, 0, 8, 8, 0, 0, 8, 0, 0]] -> [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0], [0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0], [0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0], [1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0], [0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1], [0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1], [0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0], [1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1], [0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0], [1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0], [0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1], [0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1], [0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1], [1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[9, 0, 0, 0, 9, 0, 0, 9, 9, 9, 0, 9, 0, 9, 0, 9, 0, 9, 9, 9], [9, 9, 0, 0, 0, 9, 9, 0, 0, 9, 9, 9, 0, 9, 9, 0, 9, 9, 9, 0], [9, 0, 9, 0, 0, 9, 9, 0, 9, 9, 9, 9, 0, 0, 0, 0, 0, 9, 9, 0], [9, 0, 0, 0, 0, 9, 9, 0, 9, 0, 9, 9, 9, 0, 9, 0, 9, 9, 9, 0], [0, 9, 9, 9, 9, 0, 0, 0, 0, 9, 9, 9, 0, 0, 9, 9, 9, 0, 9, 9], [0, 0, 9, 0, 0, 9, 9, 0, 0, 0, 0, 0, 0, 9, 9, 0, 0, 9, 0, 0], [9, 9, 0, 9, 9, 0, 9, 0, 0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9], [0, 0, 9, 0, 9, 9, 9, 9, 9, 9, 0, 0, 9, 0, 9, 0, 0, 0, 0, 0], [9, 9, 0, 0, 9, 9, 9, 9, 9, 9, 9, 0, 0, 0, 0, 0, 0, 9, 9, 0], [9, 9, 0, 0, 0, 0, 9, 0, 0, 0, 9, 0, 9, 0, 0, 9, 0, 9, 0, 0], [0, 0, 0, 0, 0, 9, 0, 9, 9, 9, 0, 0, 0, 9, 0, 9, 0, 0, 0, 9], [0, 0, 0, 9, 9, 9, 9, 9, 0, 0, 0, 9, 0, 0, 0, 9, 9, 9, 0, 9], [0, 0, 9, 9, 0, 0, 9, 0, 0, 9, 0, 0, 0, 9, 9, 0, 9, 9, 9, 0], [9, 0, 0, 0, 0, 0, 0, 9, 9, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 0], [9, 9, 9, 0, 0, 0, 9, 0, 0, 0, 0, 9, 0, 9, 9, 0, 9, 0, 9, 9], [9, 9, 9, 9, 0, 9, 0, 9, 9, 9, 9, 0, 9, 0, 0, 0, 9, 9, 9, 9], [0, 0, 0, 0, 9, 0, 0, 9, 0, 9, 0, 0, 0, 0, 0, 9, 0, 9, 9, 9], [9, 0, 9, 0, 9, 9, 0, 0, 0, 9, 9, 9, 9, 9, 9, 9, 0, 9, 9, 9], [9, 9, 9, 9, 9, 0, 0, 9, 0, 9, 9, 9, 9, 9, 0, 0, 0, 0, 0, 9], [0, 9, 9, 9, 9, 9, 0, 9, 9, 0, 0, 0, 9, 0, 0, 9, 9, 9, 9, 0], [8, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 8, 0, 8, 8, 8, 8, 8, 0], [0, 0, 0, 0, 0, 8, 8, 8, 8, 8, 8, 0, 8, 0, 0, 8, 8, 8, 0, 0], [0, 8, 0, 0, 0, 8, 0, 0, 8, 0, 0, 8, 0, 0, 0, 0, 0, 8, 8, 0], [8, 8, 0, 8, 8, 0, 0, 0, 8, 8, 0, 8, 0, 0, 0, 8, 0, 8, 8, 8], [0, 0, 8, 0, 0, 0, 0, 0, 8, 0, 0, 8, 0, 8, 8, 8, 8, 8, 8, 8], [8, 8, 0, 8, 8, 8, 0, 8, 8, 8, 8, 0, 8, 0, 8, 8, 0, 0, 0, 0], [0, 0, 8, 8, 8, 0, 0, 8, 0, 8, 0, 0, 0, 0, 8, 0, 8, 8, 8, 8], [8, 8, 8, 0, 0, 0, 0, 8, 0, 8, 0, 8, 0, 0, 0, 8, 8, 0, 0, 0], [8, 0, 8, 8, 8, 0, 0, 0, 8, 0, 0, 8, 8, 0, 8, 0, 0, 0, 8, 8], [8, 8, 8, 8, 0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 8, 0, 0, 0], [8, 0, 8, 8, 8, 0, 8, 0, 8, 8, 8, 8, 8, 0, 8, 8, 0, 8, 0, 0], [8, 8, 8, 0, 0, 0, 8, 8, 8, 8, 0, 0, 0, 0, 8, 8, 8, 8, 0, 8], [8, 8, 8, 8, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 8, 0, 0, 8, 8, 0], [8, 8, 8, 0, 8, 8, 8, 8, 0, 0, 0, 0, 8, 0, 8, 8, 0, 8, 8, 8], [0, 8, 8, 8, 0, 0, 0, 8, 0, 0, 8, 8, 0, 8, 0, 0, 8, 0, 0, 0], [0, 8, 8, 8, 0, 0, 0, 8, 8, 8, 8, 8, 0, 8, 0, 8, 8, 8, 0, 8], [0, 0, 8, 0, 8, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 8, 8, 0, 0, 8], [0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 0, 0, 8, 0, 8, 0, 0, 8, 0, 8], [8, 8, 0, 8, 8, 0, 8, 8, 8, 8, 8, 0, 0, 0, 8, 8, 8, 8, 0, 0], [0, 0, 8, 8, 0, 0, 0, 0, 8, 8, 8, 8, 0, 8, 8, 0, 0, 8, 0, 0]] -> ",
+                "test": {
+                    "input": [
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+                    ],
+                    "output": [
+                        [
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+                        [
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+                        [
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+                    ]
+                }
+            }
+        }
+    },
+    "SCMdky5!or!10x10": {
+        "L1": {
+            "Replicate 0": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 5, 0, 5, 5, 5, 0, 0, 5, 5], [0, 5, 0, 0, 5, 5, 0, 0, 0, 5], [0, 0, 0, 5, 5, 5, 0, 0, 0, 0], [5, 5, 0, 0, 0, 5, 5, 0, 5, 0], [0, 0, 5, 5, 5, 0, 5, 0, 5, 5], [0, 5, 0, 5, 0, 0, 0, 5, 5, 5], [5, 5, 0, 0, 0, 5, 5, 0, 0, 0], [5, 0, 5, 5, 5, 5, 5, 5, 5, 0], [5, 0, 0, 5, 0, 0, 5, 5, 5, 5], [0, 5, 5, 5, 0, 0, 0, 5, 5, 0], [3, 3, 3, 3, 3, 3, 0, 0, 3, 3], [0, 0, 3, 0, 0, 3, 0, 0, 3, 3], [3, 0, 3, 3, 0, 0, 3, 0, 0, 0], [0, 3, 3, 3, 3, 3, 0, 0, 0, 0], [3, 0, 0, 3, 3, 0, 3, 3, 0, 3], [0, 0, 3, 0, 0, 3, 3, 3, 3, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 3], [0, 0, 0, 0, 3, 0, 0, 3, 0, 3], [0, 0, 0, 0, 3, 0, 3, 3, 0, 3], [0, 3, 0, 3, 0, 3, 0, 3, 3, 3]] -> [[6, 6, 6, 6, 6, 6, 0, 0, 6, 6], [0, 6, 6, 0, 6, 6, 0, 0, 6, 6], [6, 0, 6, 6, 6, 6, 6, 0, 0, 0], [6, 6, 6, 6, 6, 6, 6, 0, 6, 0], [6, 0, 6, 6, 6, 0, 6, 6, 6, 6], [0, 6, 6, 6, 0, 6, 6, 6, 6, 6], [6, 6, 0, 0, 0, 6, 6, 0, 0, 6], [6, 0, 6, 6, 6, 6, 6, 6, 6, 6], [6, 0, 0, 6, 6, 0, 6, 6, 6, 6], [0, 6, 6, 6, 0, 6, 0, 6, 6, 6]]\nExample input-output arrays:\n[[0, 5, 0, 0, 5, 0, 0, 5, 0, 5], [0, 5, 5, 5, 0, 0, 0, 5, 0, 5], [0, 0, 5, 0, 5, 5, 5, 0, 0, 5], [0, 5, 0, 5, 0, 5, 0, 0, 0, 0], [5, 5, 5, 5, 0, 5, 5, 0, 5, 0], [5, 0, 0, 0, 5, 5, 5, 5, 5, 5], [0, 5, 5, 5, 0, 0, 0, 0, 0, 0], [0, 5, 0, 0, 0, 0, 5, 5, 5, 5], [0, 0, 0, 5, 5, 5, 5, 5, 5, 0], [5, 5, 0, 0, 5, 5, 5, 5, 0, 0], [0, 0, 0, 3, 3, 0, 3, 0, 3, 3], [3, 0, 3, 0, 3, 3, 3, 3, 0, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [0, 3, 0, 0, 3, 3, 3, 3, 3, 0], [3, 0, 0, 3, 3, 3, 3, 0, 0, 0], [0, 3, 0, 0, 3, 3, 0, 0, 0, 3], [0, 3, 0, 0, 3, 0, 3, 3, 3, 0], [3, 3, 3, 3, 3, 3, 0, 3, 0, 3], [0, 3, 0, 3, 3, 3, 0, 3, 0, 3], [3, 0, 3, 3, 0, 0, 3, 0, 0, 0]] -> [[0, 6, 0, 6, 6, 0, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 0, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [0, 6, 0, 6, 6, 6, 6, 6, 6, 0], [6, 6, 6, 6, 6, 6, 6, 0, 6, 0], [6, 6, 0, 0, 6, 6, 6, 6, 6, 6], [0, 6, 6, 6, 6, 0, 6, 6, 6, 0], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [0, 6, 0, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 0, 0]]\nExample input-output arrays:\n[[0, 0, 5, 0, 5, 5, 5, 0, 5, 5], [5, 5, 5, 0, 5, 5, 5, 0, 0, 0], [5, 5, 0, 5, 0, 5, 0, 5, 5, 0], [5, 5, 0, 5, 5, 0, 5, 0, 5, 5], [5, 5, 5, 5, 5, 0, 0, 5, 0, 0], [0, 5, 0, 0, 0, 5, 0, 5, 5, 0], [0, 5, 5, 5, 0, 0, 5, 5, 5, 0], [5, 5, 0, 5, 5, 0, 5, 5, 0, 5], [0, 5, 0, 0, 5, 0, 0, 5, 0, 0], [5, 0, 0, 5, 0, 5, 0, 5, 5, 5], [3, 3, 3, 0, 0, 0, 3, 3, 0, 3], [0, 3, 0, 0, 3, 3, 0, 0, 0, 3], [3, 3, 0, 0, 3, 0, 3, 0, 3, 0], [0, 0, 0, 3, 0, 3, 0, 0, 3, 3], [0, 0, 0, 3, 0, 3, 0, 0, 3, 3], [0, 0, 0, 0, 3, 0, 3, 3, 0, 0], [3, 3, 3, 0, 3, 0, 0, 3, 0, 3], [0, 3, 3, 3, 3, 0, 0, 3, 0, 3], [3, 0, 0, 3, 0, 3, 0, 3, 3, 0], [0, 3, 0, 0, 0, 3, 3, 0, 0, 0]] -> [[6, 6, 6, 0, 6, 6, 6, 6, 6, 6], [6, 6, 6, 0, 6, 6, 6, 0, 0, 6], [6, 6, 0, 6, 6, 6, 6, 6, 6, 0], [6, 6, 0, 6, 6, 6, 6, 0, 6, 6], [6, 6, 6, 6, 6, 6, 0, 6, 6, 6], [0, 6, 0, 0, 6, 6, 6, 6, 6, 0], [6, 6, 6, 6, 6, 0, 6, 6, 6, 6], [6, 6, 6, 6, 6, 0, 6, 6, 0, 6], [6, 6, 0, 6, 6, 6, 0, 6, 6, 0], [6, 6, 0, 6, 0, 6, 6, 6, 6, 6]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 5, 0, 5, 5, 5, 0, 5, 5], [5, 5, 5, 0, 5, 5, 5, 0, 0, 0], [5, 5, 0, 5, 0, 5, 0, 5, 5, 0], [5, 5, 0, 5, 5, 0, 5, 0, 5, 5], [5, 5, 5, 5, 5, 0, 0, 5, 0, 0], [0, 5, 0, 0, 0, 5, 0, 5, 5, 0], [0, 5, 5, 5, 0, 0, 5, 5, 5, 0], [5, 5, 0, 5, 5, 0, 5, 5, 0, 5], [0, 5, 0, 0, 5, 0, 0, 5, 0, 0], [5, 0, 0, 5, 0, 5, 0, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            0,
+                            0,
+                            5,
+                            0,
+                            5,
+                            5,
+                            5,
+                            0,
+                            5,
+                            5
+                        ],
+                        [
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+                            5,
+                            5,
+                            0,
+                            5,
+                            5,
+                            5,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
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+                            5,
+                            0,
+                            5,
+                            0,
+                            5,
+                            0,
+                            5,
+                            5,
+                            0
+                        ],
+                        [
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+                            5,
+                            0,
+                            5,
+                            5,
+                            0,
+                            5,
+                            0,
+                            5,
+                            5
+                        ],
+                        [
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+                            5,
+                            5,
+                            5,
+                            5,
+                            0,
+                            0,
+                            5,
+                            0,
+                            0
+                        ],
+                        [
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+                            0,
+                            0,
+                            0,
+                            5,
+                            0,
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+                            5,
+                            0
+                        ],
+                        [
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+                            5,
+                            0,
+                            0,
+                            5,
+                            5,
+                            5,
+                            0
+                        ],
+                        [
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+                            0,
+                            5,
+                            5,
+                            0,
+                            5,
+                            5,
+                            0,
+                            5
+                        ],
+                        [
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+                            0,
+                            0,
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+                            0,
+                            0,
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+                        ],
+                        [
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+                            5,
+                            0,
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+                        ],
+                        [
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+                        ],
+                        [
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+                        ],
+                        [
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+                        ],
+                        [
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+                        ],
+                        [
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+                        ],
+                        [
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+                        ],
+                        [
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+                        ],
+                        [
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+                        ],
+                        [
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+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3
+                        ]
+                    ],
+                    "output": [
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ]
+                    ]
+                }
+            },
+            "Replicate 1": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 5, 0, 5, 5, 5, 0, 0, 5, 5], [0, 5, 0, 0, 5, 5, 0, 0, 0, 5], [0, 0, 0, 5, 5, 5, 0, 0, 0, 0], [5, 5, 0, 0, 0, 5, 5, 0, 5, 0], [0, 0, 5, 5, 5, 0, 5, 0, 5, 5], [0, 5, 0, 5, 0, 0, 0, 5, 5, 5], [5, 5, 0, 0, 0, 5, 5, 0, 0, 0], [5, 0, 5, 5, 5, 5, 5, 5, 5, 0], [5, 0, 0, 5, 0, 0, 5, 5, 5, 5], [0, 5, 5, 5, 0, 0, 0, 5, 5, 0], [3, 3, 3, 3, 3, 3, 0, 0, 3, 3], [0, 0, 3, 0, 0, 3, 0, 0, 3, 3], [3, 0, 3, 3, 0, 0, 3, 0, 0, 0], [0, 3, 3, 3, 3, 3, 0, 0, 0, 0], [3, 0, 0, 3, 3, 0, 3, 3, 0, 3], [0, 0, 3, 0, 0, 3, 3, 3, 3, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 3], [0, 0, 0, 0, 3, 0, 0, 3, 0, 3], [0, 0, 0, 0, 3, 0, 3, 3, 0, 3], [0, 3, 0, 3, 0, 3, 0, 3, 3, 3]] -> [[6, 6, 6, 6, 6, 6, 0, 0, 6, 6], [0, 6, 6, 0, 6, 6, 0, 0, 6, 6], [6, 0, 6, 6, 6, 6, 6, 0, 0, 0], [6, 6, 6, 6, 6, 6, 6, 0, 6, 0], [6, 0, 6, 6, 6, 0, 6, 6, 6, 6], [0, 6, 6, 6, 0, 6, 6, 6, 6, 6], [6, 6, 0, 0, 0, 6, 6, 0, 0, 6], [6, 0, 6, 6, 6, 6, 6, 6, 6, 6], [6, 0, 0, 6, 6, 0, 6, 6, 6, 6], [0, 6, 6, 6, 0, 6, 0, 6, 6, 6]]\nExample input-output arrays:\n[[0, 5, 0, 0, 5, 0, 0, 5, 0, 5], [0, 5, 5, 5, 0, 0, 0, 5, 0, 5], [0, 0, 5, 0, 5, 5, 5, 0, 0, 5], [0, 5, 0, 5, 0, 5, 0, 0, 0, 0], [5, 5, 5, 5, 0, 5, 5, 0, 5, 0], [5, 0, 0, 0, 5, 5, 5, 5, 5, 5], [0, 5, 5, 5, 0, 0, 0, 0, 0, 0], [0, 5, 0, 0, 0, 0, 5, 5, 5, 5], [0, 0, 0, 5, 5, 5, 5, 5, 5, 0], [5, 5, 0, 0, 5, 5, 5, 5, 0, 0], [0, 0, 0, 3, 3, 0, 3, 0, 3, 3], [3, 0, 3, 0, 3, 3, 3, 3, 0, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [0, 3, 0, 0, 3, 3, 3, 3, 3, 0], [3, 0, 0, 3, 3, 3, 3, 0, 0, 0], [0, 3, 0, 0, 3, 3, 0, 0, 0, 3], [0, 3, 0, 0, 3, 0, 3, 3, 3, 0], [3, 3, 3, 3, 3, 3, 0, 3, 0, 3], [0, 3, 0, 3, 3, 3, 0, 3, 0, 3], [3, 0, 3, 3, 0, 0, 3, 0, 0, 0]] -> [[0, 6, 0, 6, 6, 0, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 0, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [0, 6, 0, 6, 6, 6, 6, 6, 6, 0], [6, 6, 6, 6, 6, 6, 6, 0, 6, 0], [6, 6, 0, 0, 6, 6, 6, 6, 6, 6], [0, 6, 6, 6, 6, 0, 6, 6, 6, 0], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [0, 6, 0, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 0, 0]]\nExample input-output arrays:\n[[5, 0, 5, 5, 5, 0, 5, 5, 5, 5], [0, 5, 5, 5, 0, 5, 0, 5, 5, 0], [5, 5, 5, 5, 5, 5, 5, 0, 0, 5], [0, 5, 0, 0, 0, 5, 5, 0, 5, 5], [5, 5, 5, 0, 0, 0, 5, 5, 0, 0], [0, 0, 5, 5, 5, 0, 5, 0, 5, 5], [5, 0, 0, 0, 0, 0, 5, 0, 0, 5], [0, 0, 0, 5, 5, 0, 0, 0, 5, 0], [0, 0, 0, 5, 0, 5, 5, 5, 0, 0], [0, 0, 0, 5, 5, 0, 5, 5, 0, 0], [3, 0, 3, 3, 0, 0, 0, 3, 3, 0], [0, 3, 0, 3, 0, 0, 0, 0, 0, 3], [0, 3, 0, 0, 0, 3, 0, 0, 3, 3], [0, 0, 3, 0, 0, 3, 3, 0, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 0, 3], [0, 0, 0, 3, 0, 3, 0, 0, 3, 0], [0, 0, 0, 0, 3, 0, 3, 0, 0, 0], [0, 3, 3, 0, 0, 3, 3, 3, 0, 3], [0, 0, 3, 3, 3, 0, 3, 3, 0, 0], [0, 0, 0, 3, 3, 0, 3, 0, 0, 0]] -> [[6, 0, 6, 6, 6, 0, 6, 6, 6, 6], [0, 6, 6, 6, 0, 6, 0, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 0, 6, 6], [0, 6, 6, 0, 0, 6, 6, 0, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 0, 6], [0, 0, 6, 6, 6, 6, 6, 0, 6, 6], [6, 0, 0, 0, 6, 0, 6, 0, 0, 6], [0, 6, 6, 6, 6, 6, 6, 6, 6, 6], [0, 0, 6, 6, 6, 6, 6, 6, 0, 0], [0, 0, 0, 6, 6, 0, 6, 6, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 0, 3, 3, 0, 0, 0, 3, 3, 0], [0, 3, 0, 3, 0, 0, 0, 0, 0, 3], [0, 3, 0, 0, 0, 3, 0, 0, 3, 3], [0, 0, 3, 0, 0, 3, 3, 0, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 0, 3], [0, 0, 0, 3, 0, 3, 0, 0, 3, 0], [0, 0, 0, 0, 3, 0, 3, 0, 0, 0], [0, 3, 3, 0, 0, 3, 3, 3, 0, 3], [0, 0, 3, 3, 3, 0, 3, 3, 0, 0], [0, 0, 0, 3, 3, 0, 3, 0, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5
+                        ],
+                        [
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5
+                        ],
+                        [
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5
+                        ],
+                        [
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5
+                        ],
+                        [
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5
+                        ],
+                        [
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5
+                        ],
+                        [
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5
+                        ],
+                        [
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5
+                        ],
+                        [
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5
+                        ],
+                        [
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5
+                        ],
+                        [
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0
+                        ],
+                        [
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3
+                        ],
+                        [
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0
+                        ]
+                    ],
+                    "output": [
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ]
+                    ]
+                }
+            },
+            "Replicate 2": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 5, 0, 5, 5, 5, 0, 0, 5, 5], [0, 5, 0, 0, 5, 5, 0, 0, 0, 5], [0, 0, 0, 5, 5, 5, 0, 0, 0, 0], [5, 5, 0, 0, 0, 5, 5, 0, 5, 0], [0, 0, 5, 5, 5, 0, 5, 0, 5, 5], [0, 5, 0, 5, 0, 0, 0, 5, 5, 5], [5, 5, 0, 0, 0, 5, 5, 0, 0, 0], [5, 0, 5, 5, 5, 5, 5, 5, 5, 0], [5, 0, 0, 5, 0, 0, 5, 5, 5, 5], [0, 5, 5, 5, 0, 0, 0, 5, 5, 0], [3, 3, 3, 3, 3, 3, 0, 0, 3, 3], [0, 0, 3, 0, 0, 3, 0, 0, 3, 3], [3, 0, 3, 3, 0, 0, 3, 0, 0, 0], [0, 3, 3, 3, 3, 3, 0, 0, 0, 0], [3, 0, 0, 3, 3, 0, 3, 3, 0, 3], [0, 0, 3, 0, 0, 3, 3, 3, 3, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 3], [0, 0, 0, 0, 3, 0, 0, 3, 0, 3], [0, 0, 0, 0, 3, 0, 3, 3, 0, 3], [0, 3, 0, 3, 0, 3, 0, 3, 3, 3]] -> [[6, 6, 6, 6, 6, 6, 0, 0, 6, 6], [0, 6, 6, 0, 6, 6, 0, 0, 6, 6], [6, 0, 6, 6, 6, 6, 6, 0, 0, 0], [6, 6, 6, 6, 6, 6, 6, 0, 6, 0], [6, 0, 6, 6, 6, 0, 6, 6, 6, 6], [0, 6, 6, 6, 0, 6, 6, 6, 6, 6], [6, 6, 0, 0, 0, 6, 6, 0, 0, 6], [6, 0, 6, 6, 6, 6, 6, 6, 6, 6], [6, 0, 0, 6, 6, 0, 6, 6, 6, 6], [0, 6, 6, 6, 0, 6, 0, 6, 6, 6]]\nExample input-output arrays:\n[[5, 0, 5, 5, 5, 0, 5, 5, 5, 5], [0, 5, 5, 5, 0, 5, 0, 5, 5, 0], [5, 5, 5, 5, 5, 5, 5, 0, 0, 5], [0, 5, 0, 0, 0, 5, 5, 0, 5, 5], [5, 5, 5, 0, 0, 0, 5, 5, 0, 0], [0, 0, 5, 5, 5, 0, 5, 0, 5, 5], [5, 0, 0, 0, 0, 0, 5, 0, 0, 5], [0, 0, 0, 5, 5, 0, 0, 0, 5, 0], [0, 0, 0, 5, 0, 5, 5, 5, 0, 0], [0, 0, 0, 5, 5, 0, 5, 5, 0, 0], [3, 0, 3, 3, 0, 0, 0, 3, 3, 0], [0, 3, 0, 3, 0, 0, 0, 0, 0, 3], [0, 3, 0, 0, 0, 3, 0, 0, 3, 3], [0, 0, 3, 0, 0, 3, 3, 0, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 0, 3], [0, 0, 0, 3, 0, 3, 0, 0, 3, 0], [0, 0, 0, 0, 3, 0, 3, 0, 0, 0], [0, 3, 3, 0, 0, 3, 3, 3, 0, 3], [0, 0, 3, 3, 3, 0, 3, 3, 0, 0], [0, 0, 0, 3, 3, 0, 3, 0, 0, 0]] -> [[6, 0, 6, 6, 6, 0, 6, 6, 6, 6], [0, 6, 6, 6, 0, 6, 0, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 0, 6, 6], [0, 6, 6, 0, 0, 6, 6, 0, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 0, 6], [0, 0, 6, 6, 6, 6, 6, 0, 6, 6], [6, 0, 0, 0, 6, 0, 6, 0, 0, 6], [0, 6, 6, 6, 6, 6, 6, 6, 6, 6], [0, 0, 6, 6, 6, 6, 6, 6, 0, 0], [0, 0, 0, 6, 6, 0, 6, 6, 0, 0]]\nExample input-output arrays:\n[[5, 0, 5, 5, 5, 0, 5, 5, 5, 5], [0, 5, 5, 5, 0, 5, 0, 5, 5, 0], [5, 5, 5, 5, 5, 5, 5, 0, 0, 5], [0, 5, 0, 0, 0, 5, 5, 0, 5, 5], [5, 5, 5, 0, 0, 0, 5, 5, 0, 0], [0, 0, 5, 5, 5, 0, 5, 0, 5, 5], [5, 0, 0, 0, 0, 0, 5, 0, 0, 5], [0, 0, 0, 5, 5, 0, 0, 0, 5, 0], [0, 0, 0, 5, 0, 5, 5, 5, 0, 0], [0, 0, 0, 5, 5, 0, 5, 5, 0, 0], [3, 0, 3, 3, 0, 0, 0, 3, 3, 0], [0, 3, 0, 3, 0, 0, 0, 0, 0, 3], [0, 3, 0, 0, 0, 3, 0, 0, 3, 3], [0, 0, 3, 0, 0, 3, 3, 0, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 0, 3], [0, 0, 0, 3, 0, 3, 0, 0, 3, 0], [0, 0, 0, 0, 3, 0, 3, 0, 0, 0], [0, 3, 3, 0, 0, 3, 3, 3, 0, 3], [0, 0, 3, 3, 3, 0, 3, 3, 0, 0], [0, 0, 0, 3, 3, 0, 3, 0, 0, 0]] -> [[6, 0, 6, 6, 6, 0, 6, 6, 6, 6], [0, 6, 6, 6, 0, 6, 0, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 0, 6, 6], [0, 6, 6, 0, 0, 6, 6, 0, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 0, 6], [0, 0, 6, 6, 6, 6, 6, 0, 6, 6], [6, 0, 0, 0, 6, 0, 6, 0, 0, 6], [0, 6, 6, 6, 6, 6, 6, 6, 6, 6], [0, 0, 6, 6, 6, 6, 6, 6, 0, 0], [0, 0, 0, 6, 6, 0, 6, 6, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing the causal function for some elements.\n[[0, 5, 0, 0, 0, 5, 0, 0, 0, 0], [5, 0, 0, 0, 5, 0, 5, 0, 0, 5], [0, 0, 0, 0, 0, 0, 0, 5, 5, 0], [5, 0, 5, 5, 5, 0, 0, 5, 0, 0], [0, 0, 0, 5, 5, 5, 0, 0, 5, 5], [5, 5, 0, 0, 0, 5, 0, 5, 0, 0], [0, 5, 5, 5, 5, 5, 0, 5, 5, 0], [5, 5, 5, 0, 0, 5, 5, 5, 0, 5], [5, 5, 5, 0, 5, 0, 0, 0, 5, 5], [5, 5, 5, 0, 0, 5, 0, 0, 5, 5], [3, 0, 3, 3, 0, 0, 0, 3, 3, 0], [0, 3, 0, 3, 0, 0, 0, 0, 0, 3], [0, 3, 0, 0, 0, 3, 0, 0, 3, 3], [0, 0, 3, 0, 0, 3, 3, 0, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 0, 3], [0, 0, 0, 3, 0, 3, 0, 0, 3, 0], [0, 0, 0, 0, 3, 0, 3, 0, 0, 0], [0, 3, 3, 0, 0, 3, 3, 3, 0, 3], [0, 0, 3, 3, 3, 0, 3, 3, 0, 0], [0, 0, 0, 3, 3, 0, 3, 0, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            0,
+                            5,
+                            0,
+                            0,
+                            0,
+                            5,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            5,
+                            0,
+                            0,
+                            0,
+                            5,
+                            0,
+                            5,
+                            0,
+                            0,
+                            5
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            5,
+                            5,
+                            0
+                        ],
+                        [
+                            5,
+                            0,
+                            5,
+                            5,
+                            5,
+                            0,
+                            0,
+                            5,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            5,
+                            5,
+                            5,
+                            0,
+                            0,
+                            5,
+                            5
+                        ],
+                        [
+                            5,
+                            5,
+                            0,
+                            0,
+                            0,
+                            5,
+                            0,
+                            5,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            0,
+                            5,
+                            5,
+                            0
+                        ],
+                        [
+                            5,
+                            5,
+                            5,
+                            0,
+                            0,
+                            5,
+                            5,
+                            5,
+                            0,
+                            5
+                        ],
+                        [
+                            5,
+                            5,
+                            5,
+                            0,
+                            5,
+                            0,
+                            0,
+                            0,
+                            5,
+                            5
+                        ],
+                        [
+                            5,
+                            5,
+                            5,
+                            0,
+                            0,
+                            5,
+                            0,
+                            0,
+                            5,
+                            5
+                        ],
+                        [
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0
+                        ],
+                        [
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3
+                        ],
+                        [
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0
+                        ]
+                    ],
+                    "output": [
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0
+                        ],
+                        [
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0
+                        ],
+                        [
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6
+                        ]
+                    ]
+                }
+            },
+            "Replicate 3": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[5, 0, 5, 5, 5, 0, 5, 5, 5, 5], [0, 5, 5, 5, 0, 5, 0, 5, 5, 0], [5, 5, 5, 5, 5, 5, 5, 0, 0, 5], [0, 5, 0, 0, 0, 5, 5, 0, 5, 5], [5, 5, 5, 0, 0, 0, 5, 5, 0, 0], [0, 0, 5, 5, 5, 0, 5, 0, 5, 5], [5, 0, 0, 0, 0, 0, 5, 0, 0, 5], [0, 0, 0, 5, 5, 0, 0, 0, 5, 0], [0, 0, 0, 5, 0, 5, 5, 5, 0, 0], [0, 0, 0, 5, 5, 0, 5, 5, 0, 0], [3, 0, 3, 3, 0, 0, 0, 3, 3, 0], [0, 3, 0, 3, 0, 0, 0, 0, 0, 3], [0, 3, 0, 0, 0, 3, 0, 0, 3, 3], [0, 0, 3, 0, 0, 3, 3, 0, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 0, 3], [0, 0, 0, 3, 0, 3, 0, 0, 3, 0], [0, 0, 0, 0, 3, 0, 3, 0, 0, 0], [0, 3, 3, 0, 0, 3, 3, 3, 0, 3], [0, 0, 3, 3, 3, 0, 3, 3, 0, 0], [0, 0, 0, 3, 3, 0, 3, 0, 0, 0]] -> [[6, 0, 6, 6, 6, 0, 6, 6, 6, 6], [0, 6, 6, 6, 0, 6, 0, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 0, 6, 6], [0, 6, 6, 0, 0, 6, 6, 0, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 0, 6], [0, 0, 6, 6, 6, 6, 6, 0, 6, 6], [6, 0, 0, 0, 6, 0, 6, 0, 0, 6], [0, 6, 6, 6, 6, 6, 6, 6, 6, 6], [0, 0, 6, 6, 6, 6, 6, 6, 0, 0], [0, 0, 0, 6, 6, 0, 6, 6, 0, 0]]\nExample input-output arrays:\n[[5, 0, 5, 5, 5, 0, 5, 5, 5, 5], [0, 5, 5, 5, 0, 5, 0, 5, 5, 0], [5, 5, 5, 5, 5, 5, 5, 0, 0, 5], [0, 5, 0, 0, 0, 5, 5, 0, 5, 5], [5, 5, 5, 0, 0, 0, 5, 5, 0, 0], [0, 0, 5, 5, 5, 0, 5, 0, 5, 5], [5, 0, 0, 0, 0, 0, 5, 0, 0, 5], [0, 0, 0, 5, 5, 0, 0, 0, 5, 0], [0, 0, 0, 5, 0, 5, 5, 5, 0, 0], [0, 0, 0, 5, 5, 0, 5, 5, 0, 0], [3, 0, 3, 3, 0, 0, 0, 3, 3, 0], [0, 3, 0, 3, 0, 0, 0, 0, 0, 3], [0, 3, 0, 0, 0, 3, 0, 0, 3, 3], [0, 0, 3, 0, 0, 3, 3, 0, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 0, 3], [0, 0, 0, 3, 0, 3, 0, 0, 3, 0], [0, 0, 0, 0, 3, 0, 3, 0, 0, 0], [0, 3, 3, 0, 0, 3, 3, 3, 0, 3], [0, 0, 3, 3, 3, 0, 3, 3, 0, 0], [0, 0, 0, 3, 3, 0, 3, 0, 0, 0]] -> [[6, 0, 6, 6, 6, 0, 6, 6, 6, 6], [0, 6, 6, 6, 0, 6, 0, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 0, 6, 6], [0, 6, 6, 0, 0, 6, 6, 0, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 0, 6], [0, 0, 6, 6, 6, 6, 6, 0, 6, 6], [6, 0, 0, 0, 6, 0, 6, 0, 0, 6], [0, 6, 6, 6, 6, 6, 6, 6, 6, 6], [0, 0, 6, 6, 6, 6, 6, 6, 0, 0], [0, 0, 0, 6, 6, 0, 6, 6, 0, 0]]\nExample input-output arrays:\n[[0, 5, 0, 5, 5, 5, 0, 0, 5, 5], [0, 5, 0, 0, 5, 5, 0, 0, 0, 5], [0, 0, 0, 5, 5, 5, 0, 0, 0, 0], [5, 5, 0, 0, 0, 5, 5, 0, 5, 0], [0, 0, 5, 5, 5, 0, 5, 0, 5, 5], [0, 5, 0, 5, 0, 0, 0, 5, 5, 5], [5, 5, 0, 0, 0, 5, 5, 0, 0, 0], [5, 0, 5, 5, 5, 5, 5, 5, 5, 0], [5, 0, 0, 5, 0, 0, 5, 5, 5, 5], [0, 5, 5, 5, 0, 0, 0, 5, 5, 0], [3, 3, 3, 3, 3, 3, 0, 0, 3, 3], [0, 0, 3, 0, 0, 3, 0, 0, 3, 3], [3, 0, 3, 3, 0, 0, 3, 0, 0, 0], [0, 3, 3, 3, 3, 3, 0, 0, 0, 0], [3, 0, 0, 3, 3, 0, 3, 3, 0, 3], [0, 0, 3, 0, 0, 3, 3, 3, 3, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 3], [0, 0, 0, 0, 3, 0, 0, 3, 0, 3], [0, 0, 0, 0, 3, 0, 3, 3, 0, 3], [0, 3, 0, 3, 0, 3, 0, 3, 3, 3]] -> [[6, 6, 6, 6, 6, 6, 0, 0, 6, 6], [0, 6, 6, 0, 6, 6, 0, 0, 6, 6], [6, 0, 6, 6, 6, 6, 6, 0, 0, 0], [6, 6, 6, 6, 6, 6, 6, 0, 6, 0], [6, 0, 6, 6, 6, 0, 6, 6, 6, 6], [0, 6, 6, 6, 0, 6, 6, 6, 6, 6], [6, 6, 0, 0, 0, 6, 6, 0, 0, 6], [6, 0, 6, 6, 6, 6, 6, 6, 6, 6], [6, 0, 0, 6, 6, 0, 6, 6, 6, 6], [0, 6, 6, 6, 0, 6, 0, 6, 6, 6]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 8, 0, 8, 8, 8, 0, 0, 8, 8], [0, 8, 0, 0, 8, 8, 0, 0, 0, 8], [0, 0, 0, 8, 8, 8, 0, 0, 0, 0], [8, 8, 0, 0, 0, 8, 8, 0, 8, 0], [0, 0, 8, 8, 8, 0, 8, 0, 8, 8], [0, 8, 0, 8, 0, 0, 0, 8, 8, 8], [8, 8, 0, 0, 0, 8, 8, 0, 0, 0], [8, 0, 8, 8, 8, 8, 8, 8, 8, 0], [8, 0, 0, 8, 0, 0, 8, 8, 8, 8], [0, 8, 8, 8, 0, 0, 0, 8, 8, 0], [3, 3, 3, 3, 3, 3, 0, 0, 3, 3], [0, 0, 3, 0, 0, 3, 0, 0, 3, 3], [3, 0, 3, 3, 0, 0, 3, 0, 0, 0], [0, 3, 3, 3, 3, 3, 0, 0, 0, 0], [3, 0, 0, 3, 3, 0, 3, 3, 0, 3], [0, 0, 3, 0, 0, 3, 3, 3, 3, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 3], [0, 0, 0, 0, 3, 0, 0, 3, 0, 3], [0, 0, 0, 0, 3, 0, 3, 3, 0, 3], [0, 3, 0, 3, 0, 3, 0, 3, 3, 3]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            0,
+                            8,
+                            0,
+                            8,
+                            8,
+                            8,
+                            0,
+                            0,
+                            8,
+                            8
+                        ],
+                        [
+                            0,
+                            8,
+                            0,
+                            0,
+                            8,
+                            8,
+                            0,
+                            0,
+                            0,
+                            8
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            8,
+                            8,
+                            8,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            8,
+                            8,
+                            0,
+                            0,
+                            0,
+                            8,
+                            8,
+                            0,
+                            8,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            8,
+                            8,
+                            8,
+                            0,
+                            8,
+                            0,
+                            8,
+                            8
+                        ],
+                        [
+                            0,
+                            8,
+                            0,
+                            8,
+                            0,
+                            0,
+                            0,
+                            8,
+                            8,
+                            8
+                        ],
+                        [
+                            8,
+                            8,
+                            0,
+                            0,
+                            0,
+                            8,
+                            8,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            8,
+                            0,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            0
+                        ],
+                        [
+                            8,
+                            0,
+                            0,
+                            8,
+                            0,
+                            0,
+                            8,
+                            8,
+                            8,
+                            8
+                        ],
+                        [
+                            0,
+                            8,
+                            8,
+                            8,
+                            0,
+                            0,
+                            0,
+                            8,
+                            8,
+                            0
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3
+                        ],
+                        [
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3
+                        ]
+                    ],
+                    "output": [
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0
+                        ],
+                        [
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            0,
+                            0,
+                            0,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6
+                        ],
+                        [
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            0,
+                            0,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6
+                        ]
+                    ]
+                }
+            },
+            "Replicate 4": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 5, 0, 0, 5, 0, 0, 5, 0, 5], [0, 5, 5, 5, 0, 0, 0, 5, 0, 5], [0, 0, 5, 0, 5, 5, 5, 0, 0, 5], [0, 5, 0, 5, 0, 5, 0, 0, 0, 0], [5, 5, 5, 5, 0, 5, 5, 0, 5, 0], [5, 0, 0, 0, 5, 5, 5, 5, 5, 5], [0, 5, 5, 5, 0, 0, 0, 0, 0, 0], [0, 5, 0, 0, 0, 0, 5, 5, 5, 5], [0, 0, 0, 5, 5, 5, 5, 5, 5, 0], [5, 5, 0, 0, 5, 5, 5, 5, 0, 0], [0, 0, 0, 3, 3, 0, 3, 0, 3, 3], [3, 0, 3, 0, 3, 3, 3, 3, 0, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [0, 3, 0, 0, 3, 3, 3, 3, 3, 0], [3, 0, 0, 3, 3, 3, 3, 0, 0, 0], [0, 3, 0, 0, 3, 3, 0, 0, 0, 3], [0, 3, 0, 0, 3, 0, 3, 3, 3, 0], [3, 3, 3, 3, 3, 3, 0, 3, 0, 3], [0, 3, 0, 3, 3, 3, 0, 3, 0, 3], [3, 0, 3, 3, 0, 0, 3, 0, 0, 0]] -> [[0, 6, 0, 6, 6, 0, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 0, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [0, 6, 0, 6, 6, 6, 6, 6, 6, 0], [6, 6, 6, 6, 6, 6, 6, 0, 6, 0], [6, 6, 0, 0, 6, 6, 6, 6, 6, 6], [0, 6, 6, 6, 6, 0, 6, 6, 6, 0], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [0, 6, 0, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 0, 0]]\nExample input-output arrays:\n[[5, 0, 5, 5, 5, 0, 5, 5, 5, 5], [0, 5, 5, 5, 0, 5, 0, 5, 5, 0], [5, 5, 5, 5, 5, 5, 5, 0, 0, 5], [0, 5, 0, 0, 0, 5, 5, 0, 5, 5], [5, 5, 5, 0, 0, 0, 5, 5, 0, 0], [0, 0, 5, 5, 5, 0, 5, 0, 5, 5], [5, 0, 0, 0, 0, 0, 5, 0, 0, 5], [0, 0, 0, 5, 5, 0, 0, 0, 5, 0], [0, 0, 0, 5, 0, 5, 5, 5, 0, 0], [0, 0, 0, 5, 5, 0, 5, 5, 0, 0], [3, 0, 3, 3, 0, 0, 0, 3, 3, 0], [0, 3, 0, 3, 0, 0, 0, 0, 0, 3], [0, 3, 0, 0, 0, 3, 0, 0, 3, 3], [0, 0, 3, 0, 0, 3, 3, 0, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 0, 3], [0, 0, 0, 3, 0, 3, 0, 0, 3, 0], [0, 0, 0, 0, 3, 0, 3, 0, 0, 0], [0, 3, 3, 0, 0, 3, 3, 3, 0, 3], [0, 0, 3, 3, 3, 0, 3, 3, 0, 0], [0, 0, 0, 3, 3, 0, 3, 0, 0, 0]] -> [[6, 0, 6, 6, 6, 0, 6, 6, 6, 6], [0, 6, 6, 6, 0, 6, 0, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 0, 6, 6], [0, 6, 6, 0, 0, 6, 6, 0, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 0, 6], [0, 0, 6, 6, 6, 6, 6, 0, 6, 6], [6, 0, 0, 0, 6, 0, 6, 0, 0, 6], [0, 6, 6, 6, 6, 6, 6, 6, 6, 6], [0, 0, 6, 6, 6, 6, 6, 6, 0, 0], [0, 0, 0, 6, 6, 0, 6, 6, 0, 0]]\nExample input-output arrays:\n[[0, 0, 5, 0, 5, 5, 5, 0, 5, 5], [5, 5, 5, 0, 5, 5, 5, 0, 0, 0], [5, 5, 0, 5, 0, 5, 0, 5, 5, 0], [5, 5, 0, 5, 5, 0, 5, 0, 5, 5], [5, 5, 5, 5, 5, 0, 0, 5, 0, 0], [0, 5, 0, 0, 0, 5, 0, 5, 5, 0], [0, 5, 5, 5, 0, 0, 5, 5, 5, 0], [5, 5, 0, 5, 5, 0, 5, 5, 0, 5], [0, 5, 0, 0, 5, 0, 0, 5, 0, 0], [5, 0, 0, 5, 0, 5, 0, 5, 5, 5], [3, 3, 3, 0, 0, 0, 3, 3, 0, 3], [0, 3, 0, 0, 3, 3, 0, 0, 0, 3], [3, 3, 0, 0, 3, 0, 3, 0, 3, 0], [0, 0, 0, 3, 0, 3, 0, 0, 3, 3], [0, 0, 0, 3, 0, 3, 0, 0, 3, 3], [0, 0, 0, 0, 3, 0, 3, 3, 0, 0], [3, 3, 3, 0, 3, 0, 0, 3, 0, 3], [0, 3, 3, 3, 3, 0, 0, 3, 0, 3], [3, 0, 0, 3, 0, 3, 0, 3, 3, 0], [0, 3, 0, 0, 0, 3, 3, 0, 0, 0]] -> [[6, 6, 6, 0, 6, 6, 6, 6, 6, 6], [6, 6, 6, 0, 6, 6, 6, 0, 0, 6], [6, 6, 0, 6, 6, 6, 6, 6, 6, 0], [6, 6, 0, 6, 6, 6, 6, 0, 6, 6], [6, 6, 6, 6, 6, 6, 0, 6, 6, 6], [0, 6, 0, 0, 6, 6, 6, 6, 6, 0], [6, 6, 6, 6, 6, 0, 6, 6, 6, 6], [6, 6, 6, 6, 6, 0, 6, 6, 0, 6], [6, 6, 0, 6, 6, 6, 0, 6, 6, 0], [6, 6, 0, 6, 0, 6, 6, 6, 6, 6]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 0, 1, 0, 1, 1, 1, 0, 1, 1], [1, 1, 1, 0, 1, 1, 1, 0, 0, 0], [1, 1, 0, 1, 0, 1, 0, 1, 1, 0], [1, 1, 0, 1, 1, 0, 1, 0, 1, 1], [1, 1, 1, 1, 1, 0, 0, 1, 0, 0], [0, 1, 0, 0, 0, 1, 0, 1, 1, 0], [0, 1, 1, 1, 0, 0, 1, 1, 1, 0], [1, 1, 0, 1, 1, 0, 1, 1, 0, 1], [0, 1, 0, 0, 1, 0, 0, 1, 0, 0], [1, 0, 0, 1, 0, 1, 0, 1, 1, 1], [3, 3, 3, 0, 0, 0, 3, 3, 0, 3], [0, 3, 0, 0, 3, 3, 0, 0, 0, 3], [3, 3, 0, 0, 3, 0, 3, 0, 3, 0], [0, 0, 0, 3, 0, 3, 0, 0, 3, 3], [0, 0, 0, 3, 0, 3, 0, 0, 3, 3], [0, 0, 0, 0, 3, 0, 3, 3, 0, 0], [3, 3, 3, 0, 3, 0, 0, 3, 0, 3], [0, 3, 3, 3, 3, 0, 0, 3, 0, 3], [3, 0, 0, 3, 0, 3, 0, 3, 3, 0], [0, 3, 0, 0, 0, 3, 3, 0, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            0,
+                            0,
+                            1,
+                            0,
+                            1,
+                            1,
+                            1,
+                            0,
+                            1,
+                            1
+                        ],
+                        [
+                            1,
+                            1,
+                            1,
+                            0,
+                            1,
+                            1,
+                            1,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            1,
+                            1,
+                            0,
+                            1,
+                            0,
+                            1,
+                            0,
+                            1,
+                            1,
+                            0
+                        ],
+                        [
+                            1,
+                            1,
+                            0,
+                            1,
+                            1,
+                            0,
+                            1,
+                            0,
+                            1,
+                            1
+                        ],
+                        [
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            0,
+                            0,
+                            1,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            1,
+                            0,
+                            0,
+                            0,
+                            1,
+                            0,
+                            1,
+                            1,
+                            0
+                        ],
+                        [
+                            0,
+                            1,
+                            1,
+                            1,
+                            0,
+                            0,
+                            1,
+                            1,
+                            1,
+                            0
+                        ],
+                        [
+                            1,
+                            1,
+                            0,
+                            1,
+                            1,
+                            0,
+                            1,
+                            1,
+                            0,
+                            1
+                        ],
+                        [
+                            0,
+                            1,
+                            0,
+                            0,
+                            1,
+                            0,
+                            0,
+                            1,
+                            0,
+                            0
+                        ],
+                        [
+                            1,
+                            0,
+                            0,
+                            1,
+                            0,
+                            1,
+                            0,
+                            1,
+                            1,
+                            1
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3
+                        ],
+                        [
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3
+                        ],
+                        [
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3
+                        ],
+                        [
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0
+                        ],
+                        [
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0
+                        ]
+                    ],
+                    "output": [
+                        [
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0
+                        ],
+                        [
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            0,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0
+                        ],
+                        [
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ]
+                    ]
+                }
+            }
+        },
+        "L3": {
+            "Replicate 0": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 5, 0, 0, 5, 0, 0, 5, 0, 5], [0, 5, 5, 5, 0, 0, 0, 5, 0, 5], [0, 0, 5, 0, 5, 5, 5, 0, 0, 5], [0, 5, 0, 5, 0, 5, 0, 0, 0, 0], [5, 5, 5, 5, 0, 5, 5, 0, 5, 0], [5, 0, 0, 0, 5, 5, 5, 5, 5, 5], [0, 5, 5, 5, 0, 0, 0, 0, 0, 0], [0, 5, 0, 0, 0, 0, 5, 5, 5, 5], [0, 0, 0, 5, 5, 5, 5, 5, 5, 0], [5, 5, 0, 0, 5, 5, 5, 5, 0, 0], [0, 0, 0, 3, 3, 0, 3, 0, 3, 3], [3, 0, 3, 0, 3, 3, 3, 3, 0, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [0, 3, 0, 0, 3, 3, 3, 3, 3, 0], [3, 0, 0, 3, 3, 3, 3, 0, 0, 0], [0, 3, 0, 0, 3, 3, 0, 0, 0, 3], [0, 3, 0, 0, 3, 0, 3, 3, 3, 0], [3, 3, 3, 3, 3, 3, 0, 3, 0, 3], [0, 3, 0, 3, 3, 3, 0, 3, 0, 3], [3, 0, 3, 3, 0, 0, 3, 0, 0, 0]] -> [[0, 6, 0, 6, 6, 0, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 0, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [0, 6, 0, 6, 6, 6, 6, 6, 6, 0], [6, 6, 6, 6, 6, 6, 6, 0, 6, 0], [6, 6, 0, 0, 6, 6, 6, 6, 6, 6], [0, 6, 6, 6, 6, 0, 6, 6, 6, 0], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [0, 6, 0, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing the causal function for some elements.\n[[5, 0, 5, 5, 0, 5, 5, 0, 5, 0], [5, 0, 0, 0, 5, 5, 5, 0, 5, 0], [5, 5, 0, 5, 0, 0, 0, 5, 5, 0], [5, 0, 5, 0, 5, 0, 5, 5, 5, 5], [0, 0, 0, 0, 5, 0, 0, 5, 0, 5], [0, 5, 5, 5, 0, 0, 0, 0, 0, 0], [5, 0, 0, 0, 5, 5, 5, 5, 5, 5], [5, 0, 5, 5, 5, 5, 0, 0, 0, 0], [5, 5, 5, 0, 0, 0, 0, 0, 0, 5], [0, 0, 5, 5, 0, 0, 0, 0, 5, 5], [0, 0, 0, 3, 3, 0, 3, 0, 3, 3], [3, 0, 3, 0, 3, 3, 3, 3, 0, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [0, 3, 0, 0, 3, 3, 3, 3, 3, 0], [3, 0, 0, 3, 3, 3, 3, 0, 0, 0], [0, 3, 0, 0, 3, 3, 0, 0, 0, 3], [0, 3, 0, 0, 3, 0, 3, 3, 3, 0], [3, 3, 3, 3, 3, 3, 0, 3, 0, 3], [0, 3, 0, 3, 3, 3, 0, 3, 0, 3], [3, 0, 3, 3, 0, 0, 3, 0, 0, 0]] -> [[6, 0, 6, 6, 6, 6, 6, 0, 6, 6], [6, 0, 6, 0, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 0, 6, 6, 6, 6, 6, 6], [6, 0, 0, 6, 6, 6, 6, 6, 0, 6], [0, 6, 6, 6, 6, 6, 0, 0, 0, 6], [6, 6, 0, 0, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 0, 6, 0, 6], [6, 6, 6, 6, 6, 6, 0, 6, 0, 6], [6, 0, 6, 6, 0, 0, 6, 0, 6, 6]]\nExample input-output arrays:\n[[0, 5, 0, 5, 5, 5, 0, 0, 5, 5], [0, 5, 0, 0, 5, 5, 0, 0, 0, 5], [0, 0, 0, 5, 5, 5, 0, 0, 0, 0], [5, 5, 0, 0, 0, 5, 5, 0, 5, 0], [0, 0, 5, 5, 5, 0, 5, 0, 5, 5], [0, 5, 0, 5, 0, 0, 0, 5, 5, 5], [5, 5, 0, 0, 0, 5, 5, 0, 0, 0], [5, 0, 5, 5, 5, 5, 5, 5, 5, 0], [5, 0, 0, 5, 0, 0, 5, 5, 5, 5], [0, 5, 5, 5, 0, 0, 0, 5, 5, 0], [3, 3, 3, 3, 3, 3, 0, 0, 3, 3], [0, 0, 3, 0, 0, 3, 0, 0, 3, 3], [3, 0, 3, 3, 0, 0, 3, 0, 0, 0], [0, 3, 3, 3, 3, 3, 0, 0, 0, 0], [3, 0, 0, 3, 3, 0, 3, 3, 0, 3], [0, 0, 3, 0, 0, 3, 3, 3, 3, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 3], [0, 0, 0, 0, 3, 0, 0, 3, 0, 3], [0, 0, 0, 0, 3, 0, 3, 3, 0, 3], [0, 3, 0, 3, 0, 3, 0, 3, 3, 3]] -> [[6, 6, 6, 6, 6, 6, 0, 0, 6, 6], [0, 6, 6, 0, 6, 6, 0, 0, 6, 6], [6, 0, 6, 6, 6, 6, 6, 0, 0, 0], [6, 6, 6, 6, 6, 6, 6, 0, 6, 0], [6, 0, 6, 6, 6, 0, 6, 6, 6, 6], [0, 6, 6, 6, 0, 6, 6, 6, 6, 6], [6, 6, 0, 0, 0, 6, 6, 0, 0, 6], [6, 0, 6, 6, 6, 6, 6, 6, 6, 6], [6, 0, 0, 6, 6, 0, 6, 6, 6, 6], [0, 6, 6, 6, 0, 6, 0, 6, 6, 6]]\nCounterfactual: Now imagine that we intervened on the previous input by changing the causal function for some elements.\n[[5, 0, 5, 0, 0, 0, 5, 5, 0, 0], [5, 0, 5, 5, 0, 0, 5, 5, 5, 0], [5, 5, 5, 0, 0, 0, 5, 5, 5, 5], [0, 0, 5, 5, 5, 0, 0, 5, 0, 5], [5, 5, 0, 0, 0, 5, 0, 5, 0, 0], [5, 0, 5, 0, 5, 5, 5, 0, 0, 0], [0, 0, 5, 5, 5, 0, 0, 5, 5, 5], [0, 5, 0, 0, 0, 0, 0, 0, 0, 5], [0, 5, 5, 0, 5, 5, 0, 0, 0, 0], [5, 0, 0, 0, 5, 5, 5, 0, 0, 5], [3, 3, 3, 3, 3, 3, 0, 0, 3, 3], [0, 0, 3, 0, 0, 3, 0, 0, 3, 3], [3, 0, 3, 3, 0, 0, 3, 0, 0, 0], [0, 3, 3, 3, 3, 3, 0, 0, 0, 0], [3, 0, 0, 3, 3, 0, 3, 3, 0, 3], [0, 0, 3, 0, 0, 3, 3, 3, 3, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 3], [0, 0, 0, 0, 3, 0, 0, 3, 0, 3], [0, 0, 0, 0, 3, 0, 3, 3, 0, 3], [0, 3, 0, 3, 0, 3, 0, 3, 3, 3]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            5,
+                            0,
+                            5,
+                            0,
+                            0,
+                            0,
+                            5,
+                            5,
+                            0,
+                            0
+                        ],
+                        [
+                            5,
+                            0,
+                            5,
+                            5,
+                            0,
+                            0,
+                            5,
+                            5,
+                            5,
+                            0
+                        ],
+                        [
+                            5,
+                            5,
+                            5,
+                            0,
+                            0,
+                            0,
+                            5,
+                            5,
+                            5,
+                            5
+                        ],
+                        [
+                            0,
+                            0,
+                            5,
+                            5,
+                            5,
+                            0,
+                            0,
+                            5,
+                            0,
+                            5
+                        ],
+                        [
+                            5,
+                            5,
+                            0,
+                            0,
+                            0,
+                            5,
+                            0,
+                            5,
+                            0,
+                            0
+                        ],
+                        [
+                            5,
+                            0,
+                            5,
+                            0,
+                            5,
+                            5,
+                            5,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            5,
+                            5,
+                            5,
+                            0,
+                            0,
+                            5,
+                            5,
+                            5
+                        ],
+                        [
+                            0,
+                            5,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            5
+                        ],
+                        [
+                            0,
+                            5,
+                            5,
+                            0,
+                            5,
+                            5,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            5,
+                            0,
+                            0,
+                            0,
+                            5,
+                            5,
+                            5,
+                            0,
+                            0,
+                            5
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3
+                        ],
+                        [
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3
+                        ]
+                    ],
+                    "output": [
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            0,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6
+                        ],
+                        [
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            0,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ]
+                    ]
+                }
+            },
+            "Replicate 1": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 5, 0, 0, 5, 0, 0, 5, 0, 5], [0, 5, 5, 5, 0, 0, 0, 5, 0, 5], [0, 0, 5, 0, 5, 5, 5, 0, 0, 5], [0, 5, 0, 5, 0, 5, 0, 0, 0, 0], [5, 5, 5, 5, 0, 5, 5, 0, 5, 0], [5, 0, 0, 0, 5, 5, 5, 5, 5, 5], [0, 5, 5, 5, 0, 0, 0, 0, 0, 0], [0, 5, 0, 0, 0, 0, 5, 5, 5, 5], [0, 0, 0, 5, 5, 5, 5, 5, 5, 0], [5, 5, 0, 0, 5, 5, 5, 5, 0, 0], [0, 0, 0, 3, 3, 0, 3, 0, 3, 3], [3, 0, 3, 0, 3, 3, 3, 3, 0, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [0, 3, 0, 0, 3, 3, 3, 3, 3, 0], [3, 0, 0, 3, 3, 3, 3, 0, 0, 0], [0, 3, 0, 0, 3, 3, 0, 0, 0, 3], [0, 3, 0, 0, 3, 0, 3, 3, 3, 0], [3, 3, 3, 3, 3, 3, 0, 3, 0, 3], [0, 3, 0, 3, 3, 3, 0, 3, 0, 3], [3, 0, 3, 3, 0, 0, 3, 0, 0, 0]] -> [[0, 6, 0, 6, 6, 0, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 0, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [0, 6, 0, 6, 6, 6, 6, 6, 6, 0], [6, 6, 6, 6, 6, 6, 6, 0, 6, 0], [6, 6, 0, 0, 6, 6, 6, 6, 6, 6], [0, 6, 6, 6, 6, 0, 6, 6, 6, 0], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [0, 6, 0, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 3, 3, 0, 3, 0, 3, 3], [3, 0, 3, 0, 3, 3, 3, 3, 0, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [0, 3, 0, 0, 3, 3, 3, 3, 3, 0], [3, 0, 0, 3, 3, 3, 3, 0, 0, 0], [0, 3, 0, 0, 3, 3, 0, 0, 0, 3], [0, 3, 0, 0, 3, 0, 3, 3, 3, 0], [3, 3, 3, 3, 3, 3, 0, 3, 0, 3], [0, 3, 0, 3, 3, 3, 0, 3, 0, 3], [3, 0, 3, 3, 0, 0, 3, 0, 0, 0]] -> [[0, 0, 0, 6, 6, 0, 6, 0, 6, 6], [6, 0, 6, 0, 6, 6, 6, 6, 0, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [0, 6, 0, 0, 6, 6, 6, 6, 6, 0], [6, 0, 0, 6, 6, 6, 6, 0, 0, 0], [0, 6, 0, 0, 6, 6, 0, 0, 0, 6], [0, 6, 0, 0, 6, 0, 6, 6, 6, 0], [6, 6, 6, 6, 6, 6, 0, 6, 0, 6], [0, 6, 0, 6, 6, 6, 0, 6, 0, 6], [6, 0, 6, 6, 0, 0, 6, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 5, 0, 5, 5, 0, 0, 0, 0], [0, 0, 5, 5, 0, 0, 5, 0, 0, 0], [5, 5, 5, 5, 5, 5, 5, 5, 5, 0], [0, 5, 5, 5, 5, 0, 5, 0, 0, 5], [0, 0, 5, 0, 5, 5, 5, 5, 5, 5], [0, 5, 5, 0, 0, 0, 0, 5, 5, 5], [5, 0, 0, 5, 0, 0, 0, 0, 0, 0], [5, 0, 0, 5, 0, 5, 5, 5, 5, 0], [0, 0, 0, 0, 0, 0, 0, 5, 5, 0], [5, 0, 0, 5, 0, 0, 5, 5, 5, 0], [3, 3, 3, 0, 3, 0, 3, 0, 0, 3], [0, 3, 0, 3, 3, 0, 0, 3, 3, 0], [0, 0, 0, 0, 0, 0, 0, 3, 0, 3], [0, 0, 0, 0, 3, 3, 3, 3, 3, 3], [0, 3, 3, 0, 3, 3, 0, 0, 3, 3], [0, 0, 0, 0, 0, 3, 3, 0, 0, 0], [0, 0, 3, 3, 0, 0, 3, 3, 0, 0], [3, 3, 3, 0, 3, 3, 0, 0, 3, 3], [0, 0, 3, 3, 3, 3, 0, 3, 3, 0], [3, 3, 3, 0, 0, 0, 0, 0, 0, 3]] -> [[6, 6, 6, 0, 6, 6, 6, 0, 0, 6], [0, 6, 6, 6, 6, 0, 6, 6, 6, 0], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [0, 6, 6, 6, 6, 6, 6, 6, 6, 6], [0, 6, 6, 0, 6, 6, 6, 6, 6, 6], [0, 6, 6, 0, 0, 6, 6, 6, 6, 6], [6, 0, 6, 6, 0, 0, 6, 6, 0, 0], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [0, 0, 6, 6, 6, 6, 0, 6, 6, 0], [6, 6, 6, 6, 0, 0, 6, 6, 6, 6]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3, 3, 0, 3, 0, 3, 0, 0, 3], [0, 3, 0, 3, 3, 0, 0, 3, 3, 0], [0, 0, 0, 0, 0, 0, 0, 3, 0, 3], [0, 0, 0, 0, 3, 3, 3, 3, 3, 3], [0, 3, 3, 0, 3, 3, 0, 0, 3, 3], [0, 0, 0, 0, 0, 3, 3, 0, 0, 0], [0, 0, 3, 3, 0, 0, 3, 3, 0, 0], [3, 3, 3, 0, 3, 3, 0, 0, 3, 3], [0, 0, 3, 3, 3, 3, 0, 3, 3, 0], [3, 3, 3, 0, 0, 0, 0, 0, 0, 3]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3
+                        ],
+                        [
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3
+                        ]
+                    ],
+                    "output": [
+                        [
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6,
+                            6,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6,
+                            6
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            6,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6,
+                            6,
+                            0,
+                            0
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6,
+                            6
+                        ],
+                        [
+                            0,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6
+                        ]
+                    ]
+                }
+            },
+            "Replicate 2": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 5, 0, 0, 5, 0, 0, 5, 0, 5], [0, 5, 5, 5, 0, 0, 0, 5, 0, 5], [0, 0, 5, 0, 5, 5, 5, 0, 0, 5], [0, 5, 0, 5, 0, 5, 0, 0, 0, 0], [5, 5, 5, 5, 0, 5, 5, 0, 5, 0], [5, 0, 0, 0, 5, 5, 5, 5, 5, 5], [0, 5, 5, 5, 0, 0, 0, 0, 0, 0], [0, 5, 0, 0, 0, 0, 5, 5, 5, 5], [0, 0, 0, 5, 5, 5, 5, 5, 5, 0], [5, 5, 0, 0, 5, 5, 5, 5, 0, 0], [0, 0, 0, 3, 3, 0, 3, 0, 3, 3], [3, 0, 3, 0, 3, 3, 3, 3, 0, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [0, 3, 0, 0, 3, 3, 3, 3, 3, 0], [3, 0, 0, 3, 3, 3, 3, 0, 0, 0], [0, 3, 0, 0, 3, 3, 0, 0, 0, 3], [0, 3, 0, 0, 3, 0, 3, 3, 3, 0], [3, 3, 3, 3, 3, 3, 0, 3, 0, 3], [0, 3, 0, 3, 3, 3, 0, 3, 0, 3], [3, 0, 3, 3, 0, 0, 3, 0, 0, 0]] -> [[0, 6, 0, 6, 6, 0, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 0, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [0, 6, 0, 6, 6, 6, 6, 6, 6, 0], [6, 6, 6, 6, 6, 6, 6, 0, 6, 0], [6, 6, 0, 0, 6, 6, 6, 6, 6, 6], [0, 6, 6, 6, 6, 0, 6, 6, 6, 0], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [0, 6, 0, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [0, 0, 0, 3, 3, 0, 3, 0, 3, 3], [3, 0, 3, 0, 3, 3, 3, 3, 0, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [0, 3, 0, 0, 3, 3, 3, 3, 3, 0], [3, 0, 0, 3, 3, 3, 3, 0, 0, 0], [0, 3, 0, 0, 3, 3, 0, 0, 0, 3], [0, 3, 0, 0, 3, 0, 3, 3, 3, 0], [3, 3, 3, 3, 3, 3, 0, 3, 0, 3], [0, 3, 0, 3, 3, 3, 0, 3, 0, 3], [3, 0, 3, 3, 0, 0, 3, 0, 0, 0]] -> [[6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]\nExample input-output arrays:\n[[0, 5, 0, 5, 5, 5, 0, 0, 5, 5], [0, 5, 0, 0, 5, 5, 0, 0, 0, 5], [0, 0, 0, 5, 5, 5, 0, 0, 0, 0], [5, 5, 0, 0, 0, 5, 5, 0, 5, 0], [0, 0, 5, 5, 5, 0, 5, 0, 5, 5], [0, 5, 0, 5, 0, 0, 0, 5, 5, 5], [5, 5, 0, 0, 0, 5, 5, 0, 0, 0], [5, 0, 5, 5, 5, 5, 5, 5, 5, 0], [5, 0, 0, 5, 0, 0, 5, 5, 5, 5], [0, 5, 5, 5, 0, 0, 0, 5, 5, 0], [3, 3, 3, 3, 3, 3, 0, 0, 3, 3], [0, 0, 3, 0, 0, 3, 0, 0, 3, 3], [3, 0, 3, 3, 0, 0, 3, 0, 0, 0], [0, 3, 3, 3, 3, 3, 0, 0, 0, 0], [3, 0, 0, 3, 3, 0, 3, 3, 0, 3], [0, 0, 3, 0, 0, 3, 3, 3, 3, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 3], [0, 0, 0, 0, 3, 0, 0, 3, 0, 3], [0, 0, 0, 0, 3, 0, 3, 3, 0, 3], [0, 3, 0, 3, 0, 3, 0, 3, 3, 3]] -> [[6, 6, 6, 6, 6, 6, 0, 0, 6, 6], [0, 6, 6, 0, 6, 6, 0, 0, 6, 6], [6, 0, 6, 6, 6, 6, 6, 0, 0, 0], [6, 6, 6, 6, 6, 6, 6, 0, 6, 0], [6, 0, 6, 6, 6, 0, 6, 6, 6, 6], [0, 6, 6, 6, 0, 6, 6, 6, 6, 6], [6, 6, 0, 0, 0, 6, 6, 0, 0, 6], [6, 0, 6, 6, 6, 6, 6, 6, 6, 6], [6, 0, 0, 6, 6, 0, 6, 6, 6, 6], [0, 6, 6, 6, 0, 6, 0, 6, 6, 6]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 2, 0, 2, 2, 2, 0, 0, 2, 2], [0, 2, 0, 0, 2, 2, 0, 0, 0, 2], [0, 0, 0, 2, 2, 2, 0, 0, 0, 0], [2, 2, 0, 0, 0, 2, 2, 0, 2, 0], [0, 0, 2, 2, 2, 0, 2, 0, 2, 2], [0, 2, 0, 2, 0, 0, 0, 2, 2, 2], [2, 2, 0, 0, 0, 2, 2, 0, 0, 0], [2, 0, 2, 2, 2, 2, 2, 2, 2, 0], [2, 0, 0, 2, 0, 0, 2, 2, 2, 2], [0, 2, 2, 2, 0, 0, 0, 2, 2, 0], [3, 3, 3, 3, 3, 3, 0, 0, 3, 3], [0, 0, 3, 0, 0, 3, 0, 0, 3, 3], [3, 0, 3, 3, 0, 0, 3, 0, 0, 0], [0, 3, 3, 3, 3, 3, 0, 0, 0, 0], [3, 0, 0, 3, 3, 0, 3, 3, 0, 3], [0, 0, 3, 0, 0, 3, 3, 3, 3, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 3], [0, 0, 0, 0, 3, 0, 0, 3, 0, 3], [0, 0, 0, 0, 3, 0, 3, 3, 0, 3], [0, 3, 0, 3, 0, 3, 0, 3, 3, 3]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            0,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2
+                        ],
+                        [
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            2,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            2
+                        ],
+                        [
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0
+                        ],
+                        [
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3
+                        ],
+                        [
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3
+                        ]
+                    ],
+                    "output": [
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0
+                        ],
+                        [
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            0,
+                            0,
+                            0,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6
+                        ],
+                        [
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            0,
+                            0,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6
+                        ]
+                    ]
+                }
+            },
+            "Replicate 3": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 5, 0, 5, 5, 5, 0, 0, 5, 5], [0, 5, 0, 0, 5, 5, 0, 0, 0, 5], [0, 0, 0, 5, 5, 5, 0, 0, 0, 0], [5, 5, 0, 0, 0, 5, 5, 0, 5, 0], [0, 0, 5, 5, 5, 0, 5, 0, 5, 5], [0, 5, 0, 5, 0, 0, 0, 5, 5, 5], [5, 5, 0, 0, 0, 5, 5, 0, 0, 0], [5, 0, 5, 5, 5, 5, 5, 5, 5, 0], [5, 0, 0, 5, 0, 0, 5, 5, 5, 5], [0, 5, 5, 5, 0, 0, 0, 5, 5, 0], [3, 3, 3, 3, 3, 3, 0, 0, 3, 3], [0, 0, 3, 0, 0, 3, 0, 0, 3, 3], [3, 0, 3, 3, 0, 0, 3, 0, 0, 0], [0, 3, 3, 3, 3, 3, 0, 0, 0, 0], [3, 0, 0, 3, 3, 0, 3, 3, 0, 3], [0, 0, 3, 0, 0, 3, 3, 3, 3, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 3], [0, 0, 0, 0, 3, 0, 0, 3, 0, 3], [0, 0, 0, 0, 3, 0, 3, 3, 0, 3], [0, 3, 0, 3, 0, 3, 0, 3, 3, 3]] -> [[6, 6, 6, 6, 6, 6, 0, 0, 6, 6], [0, 6, 6, 0, 6, 6, 0, 0, 6, 6], [6, 0, 6, 6, 6, 6, 6, 0, 0, 0], [6, 6, 6, 6, 6, 6, 6, 0, 6, 0], [6, 0, 6, 6, 6, 0, 6, 6, 6, 6], [0, 6, 6, 6, 0, 6, 6, 6, 6, 6], [6, 6, 0, 0, 0, 6, 6, 0, 0, 6], [6, 0, 6, 6, 6, 6, 6, 6, 6, 6], [6, 0, 0, 6, 6, 0, 6, 6, 6, 6], [0, 6, 6, 6, 0, 6, 0, 6, 6, 6]]\nCounterfactual: Now imagine that we intervened on the previous input by changing the causal function for some elements.\n[[5, 0, 5, 0, 0, 0, 5, 5, 0, 0], [5, 0, 5, 5, 0, 0, 5, 5, 5, 0], [5, 5, 5, 0, 0, 0, 5, 5, 5, 5], [0, 0, 5, 5, 5, 0, 0, 5, 0, 5], [5, 5, 0, 0, 0, 5, 0, 5, 0, 0], [5, 0, 5, 0, 5, 5, 5, 0, 0, 0], [0, 0, 5, 5, 5, 0, 0, 5, 5, 5], [0, 5, 0, 0, 0, 0, 0, 0, 0, 5], [0, 5, 5, 0, 5, 5, 0, 0, 0, 0], [5, 0, 0, 0, 5, 5, 5, 0, 0, 5], [3, 3, 3, 3, 3, 3, 0, 0, 3, 3], [0, 0, 3, 0, 0, 3, 0, 0, 3, 3], [3, 0, 3, 3, 0, 0, 3, 0, 0, 0], [0, 3, 3, 3, 3, 3, 0, 0, 0, 0], [3, 0, 0, 3, 3, 0, 3, 3, 0, 3], [0, 0, 3, 0, 0, 3, 3, 3, 3, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 3], [0, 0, 0, 0, 3, 0, 0, 3, 0, 3], [0, 0, 0, 0, 3, 0, 3, 3, 0, 3], [0, 3, 0, 3, 0, 3, 0, 3, 3, 3]] -> [[6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 0, 6, 6, 0, 6, 6, 6, 6, 6], [6, 6, 6, 6, 0, 0, 6, 6, 6, 6], [0, 6, 6, 6, 6, 6, 0, 6, 0, 6], [6, 6, 0, 6, 6, 6, 6, 6, 0, 6], [6, 0, 6, 0, 6, 6, 6, 6, 6, 6], [0, 0, 6, 6, 6, 0, 0, 6, 6, 6], [0, 6, 0, 0, 6, 0, 0, 6, 0, 6], [0, 6, 6, 0, 6, 6, 6, 6, 0, 6], [6, 6, 0, 6, 6, 6, 6, 6, 6, 6]]\nExample input-output arrays:\n[[0, 0, 5, 0, 5, 5, 0, 0, 0, 0], [0, 0, 5, 5, 0, 0, 5, 0, 0, 0], [5, 5, 5, 5, 5, 5, 5, 5, 5, 0], [0, 5, 5, 5, 5, 0, 5, 0, 0, 5], [0, 0, 5, 0, 5, 5, 5, 5, 5, 5], [0, 5, 5, 0, 0, 0, 0, 5, 5, 5], [5, 0, 0, 5, 0, 0, 0, 0, 0, 0], [5, 0, 0, 5, 0, 5, 5, 5, 5, 0], [0, 0, 0, 0, 0, 0, 0, 5, 5, 0], [5, 0, 0, 5, 0, 0, 5, 5, 5, 0], [3, 3, 3, 0, 3, 0, 3, 0, 0, 3], [0, 3, 0, 3, 3, 0, 0, 3, 3, 0], [0, 0, 0, 0, 0, 0, 0, 3, 0, 3], [0, 0, 0, 0, 3, 3, 3, 3, 3, 3], [0, 3, 3, 0, 3, 3, 0, 0, 3, 3], [0, 0, 0, 0, 0, 3, 3, 0, 0, 0], [0, 0, 3, 3, 0, 0, 3, 3, 0, 0], [3, 3, 3, 0, 3, 3, 0, 0, 3, 3], [0, 0, 3, 3, 3, 3, 0, 3, 3, 0], [3, 3, 3, 0, 0, 0, 0, 0, 0, 3]] -> [[6, 6, 6, 0, 6, 6, 6, 0, 0, 6], [0, 6, 6, 6, 6, 0, 6, 6, 6, 0], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [0, 6, 6, 6, 6, 6, 6, 6, 6, 6], [0, 6, 6, 0, 6, 6, 6, 6, 6, 6], [0, 6, 6, 0, 0, 6, 6, 6, 6, 6], [6, 0, 6, 6, 0, 0, 6, 6, 0, 0], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [0, 0, 6, 6, 6, 6, 0, 6, 6, 0], [6, 6, 6, 6, 0, 0, 6, 6, 6, 6]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3, 3, 0, 3, 0, 3, 0, 0, 3], [0, 3, 0, 3, 3, 0, 0, 3, 3, 0], [0, 0, 0, 0, 0, 0, 0, 3, 0, 3], [0, 0, 0, 0, 3, 3, 3, 3, 3, 3], [0, 3, 3, 0, 3, 3, 0, 0, 3, 3], [0, 0, 0, 0, 0, 3, 3, 0, 0, 0], [0, 0, 3, 3, 0, 0, 3, 3, 0, 0], [3, 3, 3, 0, 3, 3, 0, 0, 3, 3], [0, 0, 3, 3, 3, 3, 0, 3, 3, 0], [3, 3, 3, 0, 0, 0, 0, 0, 0, 3]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3
+                        ],
+                        [
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3
+                        ]
+                    ],
+                    "output": [
+                        [
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6,
+                            6,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6,
+                            6
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            6,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6,
+                            6,
+                            0,
+                            0
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6,
+                            6
+                        ],
+                        [
+                            0,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6
+                        ]
+                    ]
+                }
+            },
+            "Replicate 4": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 5, 0, 5, 5, 5, 0, 5, 5], [5, 5, 5, 0, 5, 5, 5, 0, 0, 0], [5, 5, 0, 5, 0, 5, 0, 5, 5, 0], [5, 5, 0, 5, 5, 0, 5, 0, 5, 5], [5, 5, 5, 5, 5, 0, 0, 5, 0, 0], [0, 5, 0, 0, 0, 5, 0, 5, 5, 0], [0, 5, 5, 5, 0, 0, 5, 5, 5, 0], [5, 5, 0, 5, 5, 0, 5, 5, 0, 5], [0, 5, 0, 0, 5, 0, 0, 5, 0, 0], [5, 0, 0, 5, 0, 5, 0, 5, 5, 5], [3, 3, 3, 0, 0, 0, 3, 3, 0, 3], [0, 3, 0, 0, 3, 3, 0, 0, 0, 3], [3, 3, 0, 0, 3, 0, 3, 0, 3, 0], [0, 0, 0, 3, 0, 3, 0, 0, 3, 3], [0, 0, 0, 3, 0, 3, 0, 0, 3, 3], [0, 0, 0, 0, 3, 0, 3, 3, 0, 0], [3, 3, 3, 0, 3, 0, 0, 3, 0, 3], [0, 3, 3, 3, 3, 0, 0, 3, 0, 3], [3, 0, 0, 3, 0, 3, 0, 3, 3, 0], [0, 3, 0, 0, 0, 3, 3, 0, 0, 0]] -> [[6, 6, 6, 0, 6, 6, 6, 6, 6, 6], [6, 6, 6, 0, 6, 6, 6, 0, 0, 6], [6, 6, 0, 6, 6, 6, 6, 6, 6, 0], [6, 6, 0, 6, 6, 6, 6, 0, 6, 6], [6, 6, 6, 6, 6, 6, 0, 6, 6, 6], [0, 6, 0, 0, 6, 6, 6, 6, 6, 0], [6, 6, 6, 6, 6, 0, 6, 6, 6, 6], [6, 6, 6, 6, 6, 0, 6, 6, 0, 6], [6, 6, 0, 6, 6, 6, 0, 6, 6, 0], [6, 6, 0, 6, 0, 6, 6, 6, 6, 6]]\nExample input-output arrays:\n[[0, 0, 5, 0, 5, 5, 5, 0, 5, 5], [5, 5, 5, 0, 5, 5, 5, 0, 0, 0], [5, 5, 0, 5, 0, 5, 0, 5, 5, 0], [5, 5, 0, 5, 5, 0, 5, 0, 5, 5], [5, 5, 5, 5, 5, 0, 0, 5, 0, 0], [0, 5, 0, 0, 0, 5, 0, 5, 5, 0], [0, 5, 5, 5, 0, 0, 5, 5, 5, 0], [5, 5, 0, 5, 5, 0, 5, 5, 0, 5], [0, 5, 0, 0, 5, 0, 0, 5, 0, 0], [5, 0, 0, 5, 0, 5, 0, 5, 5, 5], [3, 3, 3, 0, 0, 0, 3, 3, 0, 3], [0, 3, 0, 0, 3, 3, 0, 0, 0, 3], [3, 3, 0, 0, 3, 0, 3, 0, 3, 0], [0, 0, 0, 3, 0, 3, 0, 0, 3, 3], [0, 0, 0, 3, 0, 3, 0, 0, 3, 3], [0, 0, 0, 0, 3, 0, 3, 3, 0, 0], [3, 3, 3, 0, 3, 0, 0, 3, 0, 3], [0, 3, 3, 3, 3, 0, 0, 3, 0, 3], [3, 0, 0, 3, 0, 3, 0, 3, 3, 0], [0, 3, 0, 0, 0, 3, 3, 0, 0, 0]] -> [[6, 6, 6, 0, 6, 6, 6, 6, 6, 6], [6, 6, 6, 0, 6, 6, 6, 0, 0, 6], [6, 6, 0, 6, 6, 6, 6, 6, 6, 0], [6, 6, 0, 6, 6, 6, 6, 0, 6, 6], [6, 6, 6, 6, 6, 6, 0, 6, 6, 6], [0, 6, 0, 0, 6, 6, 6, 6, 6, 0], [6, 6, 6, 6, 6, 0, 6, 6, 6, 6], [6, 6, 6, 6, 6, 0, 6, 6, 0, 6], [6, 6, 0, 6, 6, 6, 0, 6, 6, 0], [6, 6, 0, 6, 0, 6, 6, 6, 6, 6]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 0, 9, 0, 9, 9, 9, 0, 9, 9], [9, 9, 9, 0, 9, 9, 9, 0, 0, 0], [9, 9, 0, 9, 0, 9, 0, 9, 9, 0], [9, 9, 0, 9, 9, 0, 9, 0, 9, 9], [9, 9, 9, 9, 9, 0, 0, 9, 0, 0], [0, 9, 0, 0, 0, 9, 0, 9, 9, 0], [0, 9, 9, 9, 0, 0, 9, 9, 9, 0], [9, 9, 0, 9, 9, 0, 9, 9, 0, 9], [0, 9, 0, 0, 9, 0, 0, 9, 0, 0], [9, 0, 0, 9, 0, 9, 0, 9, 9, 9], [3, 3, 3, 0, 0, 0, 3, 3, 0, 3], [0, 3, 0, 0, 3, 3, 0, 0, 0, 3], [3, 3, 0, 0, 3, 0, 3, 0, 3, 0], [0, 0, 0, 3, 0, 3, 0, 0, 3, 3], [0, 0, 0, 3, 0, 3, 0, 0, 3, 3], [0, 0, 0, 0, 3, 0, 3, 3, 0, 0], [3, 3, 3, 0, 3, 0, 0, 3, 0, 3], [0, 3, 3, 3, 3, 0, 0, 3, 0, 3], [3, 0, 0, 3, 0, 3, 0, 3, 3, 0], [0, 3, 0, 0, 0, 3, 3, 0, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            0,
+                            0,
+                            9,
+                            0,
+                            9,
+                            9,
+                            9,
+                            0,
+                            9,
+                            9
+                        ],
+                        [
+                            9,
+                            9,
+                            9,
+                            0,
+                            9,
+                            9,
+                            9,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            9,
+                            9,
+                            0,
+                            9,
+                            0,
+                            9,
+                            0,
+                            9,
+                            9,
+                            0
+                        ],
+                        [
+                            9,
+                            9,
+                            0,
+                            9,
+                            9,
+                            0,
+                            9,
+                            0,
+                            9,
+                            9
+                        ],
+                        [
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            0,
+                            0,
+                            9,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            9,
+                            0,
+                            0,
+                            0,
+                            9,
+                            0,
+                            9,
+                            9,
+                            0
+                        ],
+                        [
+                            0,
+                            9,
+                            9,
+                            9,
+                            0,
+                            0,
+                            9,
+                            9,
+                            9,
+                            0
+                        ],
+                        [
+                            9,
+                            9,
+                            0,
+                            9,
+                            9,
+                            0,
+                            9,
+                            9,
+                            0,
+                            9
+                        ],
+                        [
+                            0,
+                            9,
+                            0,
+                            0,
+                            9,
+                            0,
+                            0,
+                            9,
+                            0,
+                            0
+                        ],
+                        [
+                            9,
+                            0,
+                            0,
+                            9,
+                            0,
+                            9,
+                            0,
+                            9,
+                            9,
+                            9
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3
+                        ],
+                        [
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3
+                        ],
+                        [
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3
+                        ],
+                        [
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0
+                        ],
+                        [
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0
+                        ]
+                    ],
+                    "output": [
+                        [
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0
+                        ],
+                        [
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            0,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0
+                        ],
+                        [
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ]
+                    ]
+                }
+            }
+        }
+    },
+    "SCMdky5!or!15x15": {
+        "L1": {
+            "Replicate 0": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[7, 7, 0, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 0, 7], [0, 7, 7, 0, 0, 7, 7, 0, 7, 7, 7, 0, 0, 7, 0], [0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 0, 7], [0, 7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 0, 7, 0, 7], [0, 7, 7, 7, 0, 7, 0, 0, 0, 7, 7, 7, 0, 0, 0], [0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 7, 0, 7, 7, 0], [7, 7, 0, 0, 0, 7, 7, 0, 0, 0, 0, 7, 7, 0, 0], [7, 7, 7, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 7, 0], [7, 7, 0, 7, 7, 0, 7, 7, 7, 0, 7, 7, 0, 7, 0], [0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 7, 7, 0, 0], [0, 0, 7, 0, 0, 7, 0, 0, 7, 7, 0, 7, 7, 7, 7], [7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 0, 0, 7, 0, 0], [7, 7, 7, 0, 0, 0, 7, 7, 0, 0, 7, 0, 0, 7, 7], [0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 7, 7, 0, 7, 0, 7, 7, 7, 7, 7, 0, 0, 0], [0, 9, 0, 0, 0, 9, 9, 9, 9, 0, 9, 0, 0, 9, 0], [9, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0, 0, 9, 9, 0], [9, 0, 9, 9, 9, 9, 0, 9, 9, 9, 9, 0, 9, 9, 9], [0, 9, 0, 0, 0, 9, 0, 9, 9, 0, 0, 0, 0, 9, 0], [9, 0, 0, 0, 9, 9, 0, 9, 9, 0, 0, 9, 0, 9, 9], [0, 0, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 9, 9, 0], [0, 9, 9, 0, 9, 0, 9, 9, 0, 0, 9, 9, 9, 0, 0], [0, 9, 0, 9, 9, 9, 0, 9, 9, 0, 0, 0, 0, 9, 0], [0, 0, 0, 0, 0, 9, 0, 0, 9, 9, 0, 9, 0, 0, 0], [9, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 9, 0], [0, 9, 9, 0, 9, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0], [0, 0, 9, 9, 0, 0, 9, 9, 0, 9, 0, 0, 9, 0, 9], [9, 0, 0, 9, 9, 0, 9, 0, 0, 9, 0, 0, 0, 0, 0], [9, 9, 0, 9, 9, 9, 0, 0, 9, 0, 0, 0, 9, 0, 0], [9, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0, 9, 0, 0, 9]] -> [[2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2], [0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2], [2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2], [0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0], [2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0], [2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0], [2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0], [0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2], [2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2], [2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2], [2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0], [2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2]]\nExample input-output arrays:\n[[7, 7, 7, 0, 0, 7, 0, 0, 7, 7, 7, 0, 7, 7, 7], [0, 0, 0, 7, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 7, 0, 0, 7, 0], [7, 0, 7, 0, 0, 0, 0, 7, 7, 0, 7, 7, 7, 0, 7], [0, 0, 0, 0, 7, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0], [7, 0, 7, 0, 0, 0, 0, 7, 7, 7, 0, 7, 7, 0, 7], [0, 7, 7, 7, 7, 0, 7, 0, 0, 7, 7, 0, 0, 7, 0], [7, 0, 7, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 0, 7], [7, 7, 0, 0, 0, 7, 7, 0, 0, 7, 0, 0, 0, 0, 7], [7, 0, 7, 0, 0, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0], [7, 7, 7, 7, 0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 7], [7, 7, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7], [7, 0, 7, 0, 7, 7, 0, 0, 7, 7, 0, 0, 7, 7, 0], [0, 7, 7, 7, 7, 0, 0, 7, 7, 7, 7, 0, 0, 7, 0], [0, 0, 7, 0, 7, 7, 0, 7, 0, 7, 7, 7, 0, 7, 0], [9, 9, 9, 9, 0, 0, 9, 9, 9, 0, 0, 0, 0, 0, 0], [0, 9, 9, 9, 9, 9, 9, 9, 0, 9, 0, 0, 9, 0, 9], [9, 9, 9, 9, 0, 9, 9, 9, 0, 9, 0, 9, 0, 0, 9], [9, 0, 9, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0], [0, 9, 9, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0, 0, 9], [0, 0, 9, 9, 9, 0, 9, 9, 0, 9, 9, 9, 0, 9, 0], [0, 9, 0, 9, 9, 9, 0, 0, 0, 9, 9, 0, 0, 0, 9], [9, 9, 0, 0, 9, 0, 9, 9, 0, 9, 0, 0, 9, 0, 9], [9, 0, 9, 0, 9, 9, 9, 0, 0, 0, 9, 9, 9, 9, 9], [0, 0, 9, 9, 0, 0, 9, 9, 9, 0, 9, 9, 9, 0, 9], [9, 0, 0, 0, 0, 9, 9, 0, 0, 9, 0, 0, 9, 9, 9], [9, 0, 0, 9, 9, 9, 9, 9, 9, 9, 0, 0, 0, 0, 9], [9, 0, 0, 0, 0, 9, 0, 9, 9, 9, 9, 9, 0, 9, 0], [0, 9, 9, 0, 9, 0, 0, 9, 9, 9, 9, 9, 0, 9, 9], [0, 9, 0, 9, 9, 0, 0, 9, 0, 9, 9, 0, 9, 0, 0]] -> [[2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2], [0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2], [2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2], [2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2], [0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2], [2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2], [0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2], [2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2], [2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2], [2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2], [2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2], [2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0], [0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2], [0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0]]\nExample input-output arrays:\n[[7, 0, 7, 0, 7, 0, 7, 7, 0, 7, 0, 7, 0, 7, 7], [0, 7, 7, 0, 7, 7, 0, 7, 0, 7, 0, 0, 0, 7, 7], [0, 7, 0, 0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 0, 0], [7, 7, 7, 7, 0, 7, 0, 0, 7, 0, 0, 7, 7, 7, 7], [7, 0, 0, 0, 7, 7, 7, 0, 7, 0, 0, 7, 0, 7, 0], [7, 7, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 7, 0], [7, 0, 0, 7, 0, 0, 7, 7, 0, 7, 7, 0, 0, 0, 0], [7, 0, 7, 0, 0, 0, 0, 7, 0, 0, 7, 0, 7, 7, 7], [0, 7, 7, 0, 0, 0, 7, 0, 7, 0, 7, 0, 7, 0, 0], [0, 7, 7, 0, 7, 0, 0, 7, 7, 7, 7, 7, 0, 0, 0], [7, 0, 7, 0, 0, 7, 7, 7, 7, 0, 7, 0, 0, 7, 0], [0, 0, 0, 7, 0, 0, 7, 7, 7, 0, 0, 0, 7, 0, 7], [7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 0], [0, 0, 7, 7, 0, 7, 0, 7, 7, 7, 0, 0, 0, 0, 0], [0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 7, 0], [9, 9, 9, 0, 0, 0, 0, 0, 0, 0, 9, 0, 9, 0, 9], [0, 9, 0, 0, 0, 0, 9, 0, 9, 0, 0, 0, 0, 0, 0], [9, 9, 0, 0, 9, 0, 0, 0, 9, 9, 0, 0, 9, 0, 0], [0, 0, 0, 0, 9, 9, 0, 9, 0, 9, 0, 0, 9, 9, 9], [0, 9, 0, 0, 9, 9, 9, 9, 0, 0, 9, 0, 0, 0, 0], [9, 0, 9, 9, 9, 9, 0, 9, 0, 0, 9, 9, 9, 0, 9], [9, 0, 0, 0, 0, 0, 9, 9, 9, 0, 9, 0, 0, 9, 0], [9, 9, 9, 0, 0, 0, 9, 0, 9, 9, 0, 0, 9, 9, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 0, 0, 0], [9, 0, 0, 9, 0, 0, 9, 0, 9, 9, 9, 0, 0, 0, 9], [0, 9, 0, 9, 0, 0, 0, 0, 9, 0, 9, 9, 9, 0, 0], [0, 0, 0, 9, 0, 9, 0, 9, 9, 9, 0, 9, 0, 0, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 0, 0], [9, 9, 0, 0, 0, 9, 0, 9, 0, 0, 9, 0, 9, 9, 0], [0, 0, 9, 9, 0, 0, 0, 9, 0, 0, 9, 9, 9, 0, 0]] -> [[2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2], [0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2], [2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0], [2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2], [2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0], [2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2], [2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0], [2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2], [0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0], [2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2], [2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0], [0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0], [2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0], [0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[7, 0, 7, 0, 7, 0, 7, 7, 0, 7, 0, 7, 0, 7, 7], [0, 7, 7, 0, 7, 7, 0, 7, 0, 7, 0, 0, 0, 7, 7], [0, 7, 0, 0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 0, 0], [7, 7, 7, 7, 0, 7, 0, 0, 7, 0, 0, 7, 7, 7, 7], [7, 0, 0, 0, 7, 7, 7, 0, 7, 0, 0, 7, 0, 7, 0], [7, 7, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 7, 0], [7, 0, 0, 7, 0, 0, 7, 7, 0, 7, 7, 0, 0, 0, 0], [7, 0, 7, 0, 0, 0, 0, 7, 0, 0, 7, 0, 7, 7, 7], [0, 7, 7, 0, 0, 0, 7, 0, 7, 0, 7, 0, 7, 0, 0], [0, 7, 7, 0, 7, 0, 0, 7, 7, 7, 7, 7, 0, 0, 0], [7, 0, 7, 0, 0, 7, 7, 7, 7, 0, 7, 0, 0, 7, 0], [0, 0, 0, 7, 0, 0, 7, 7, 7, 0, 0, 0, 7, 0, 7], [7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 0], [0, 0, 7, 7, 0, 7, 0, 7, 7, 7, 0, 0, 0, 0, 0], [0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 7, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            7,
+                            0,
+                            7,
+                            0,
+                            7,
+                            0,
+                            7,
+                            7,
+                            0,
+                            7,
+                            0,
+                            7,
+                            0,
+                            7,
+                            7
+                        ],
+                        [
+                            0,
+                            7,
+                            7,
+                            0,
+                            7,
+                            7,
+                            0,
+                            7,
+                            0,
+                            7,
+                            0,
+                            0,
+                            0,
+                            7,
+                            7
+                        ],
+                        [
+                            0,
+                            7,
+                            0,
+                            0,
+                            7,
+                            7,
+                            7,
+                            0,
+                            7,
+                            0,
+                            7,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            7,
+                            7,
+                            7,
+                            7,
+                            0,
+                            7,
+                            0,
+                            0,
+                            7,
+                            0,
+                            0,
+                            7,
+                            7,
+                            7,
+                            7
+                        ],
+                        [
+                            7,
+                            0,
+                            0,
+                            0,
+                            7,
+                            7,
+                            7,
+                            0,
+                            7,
+                            0,
+                            0,
+                            7,
+                            0,
+                            7,
+                            0
+                        ],
+                        [
+                            7,
+                            7,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            7,
+                            7,
+                            7,
+                            0,
+                            0,
+                            7,
+                            0
+                        ],
+                        [
+                            7,
+                            0,
+                            0,
+                            7,
+                            0,
+                            0,
+                            7,
+                            7,
+                            0,
+                            7,
+                            7,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            7,
+                            0,
+                            7,
+                            0,
+                            0,
+                            0,
+                            0,
+                            7,
+                            0,
+                            0,
+                            7,
+                            0,
+                            7,
+                            7,
+                            7
+                        ],
+                        [
+                            0,
+                            7,
+                            7,
+                            0,
+                            0,
+                            0,
+                            7,
+                            0,
+                            7,
+                            0,
+                            7,
+                            0,
+                            7,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            7,
+                            7,
+                            0,
+                            7,
+                            0,
+                            0,
+                            7,
+                            7,
+                            7,
+                            7,
+                            7,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            7,
+                            0,
+                            7,
+                            0,
+                            0,
+                            7,
+                            7,
+                            7,
+                            7,
+                            0,
+                            7,
+                            0,
+                            0,
+                            7,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            7,
+                            0,
+                            0,
+                            7,
+                            7,
+                            7,
+                            0,
+                            0,
+                            0,
+                            7,
+                            0,
+                            7
+                        ],
+                        [
+                            7,
+                            7,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            7,
+                            0,
+                            0,
+                            7,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            7,
+                            7,
+                            0,
+                            7,
+                            0,
+                            7,
+                            7,
+                            7,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            7,
+                            7,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            7,
+                            0,
+                            7,
+                            7,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
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+            "Replicate 1": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 0, 0, 7, 0, 7, 7, 7, 7, 7, 0, 7, 7, 7], [0, 0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0], [0, 0, 0, 0, 7, 0, 7, 0, 7, 0, 7, 0, 0, 7, 7], [0, 0, 7, 0, 0, 0, 7, 7, 0, 7, 7, 7, 0, 0, 7], [0, 7, 0, 7, 0, 7, 0, 7, 7, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 7, 7, 0, 7, 7], [7, 7, 7, 0, 0, 0, 7, 7, 7, 7, 0, 0, 0, 7, 7], [7, 0, 0, 0, 0, 7, 7, 7, 0, 0, 7, 0, 0, 0, 0], [0, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 0], [7, 0, 0, 7, 7, 7, 0, 0, 7, 0, 0, 7, 7, 0, 7], [7, 7, 0, 7, 0, 0, 0, 0, 7, 7, 7, 0, 0, 7, 7], [7, 7, 7, 0, 0, 7, 7, 7, 0, 0, 7, 0, 0, 0, 0], [0, 7, 7, 0, 0, 0, 7, 0, 0, 7, 0, 0, 0, 7, 0], [0, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 7], [0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 0, 7, 0, 0, 7], [9, 0, 0, 9, 0, 0, 0, 9, 9, 0, 0, 9, 9, 0, 9], [9, 9, 9, 9, 9, 9, 9, 0, 0, 9, 9, 0, 0, 0, 9], [0, 0, 9, 9, 0, 9, 9, 0, 0, 0, 0, 9, 0, 0, 9], [9, 0, 9, 0, 9, 0, 0, 0, 9, 9, 9, 0, 0, 0, 9], [9, 9, 9, 0, 0, 0, 0, 9, 0, 0, 0, 0, 9, 9, 0], [0, 9, 9, 0, 9, 9, 0, 0, 9, 0, 9, 0, 9, 9, 0], [9, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 9, 9], [0, 9, 9, 9, 9, 0, 0, 9, 9, 0, 0, 0, 0, 9, 9], [0, 0, 0, 0, 9, 9, 0, 0, 9, 0, 0, 0, 9, 9, 9], [9, 9, 9, 9, 9, 9, 0, 0, 9, 0, 0, 0, 9, 0, 0], [9, 9, 0, 9, 9, 0, 0, 0, 0, 9, 9, 9, 9, 9, 0], [9, 0, 0, 0, 9, 9, 0, 9, 9, 9, 9, 0, 0, 9, 0], [0, 9, 0, 9, 0, 0, 0, 0, 0, 9, 9, 9, 9, 0, 0], [9, 9, 9, 9, 9, 9, 0, 9, 0, 9, 0, 0, 9, 9, 9], [0, 0, 9, 0, 0, 0, 9, 0, 0, 9, 0, 0, 9, 9, 9]] -> [[2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2], [0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2], [2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2], [2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0], [0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2], [2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2], [0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2], [2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0], [0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0], [2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2], [0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2]]\nExample input-output arrays:\n[[0, 0, 0, 0, 7, 0, 7, 7, 7, 7, 7, 0, 7, 7, 7], [0, 0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0], [0, 0, 0, 0, 7, 0, 7, 0, 7, 0, 7, 0, 0, 7, 7], [0, 0, 7, 0, 0, 0, 7, 7, 0, 7, 7, 7, 0, 0, 7], [0, 7, 0, 7, 0, 7, 0, 7, 7, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 7, 7, 0, 7, 7], [7, 7, 7, 0, 0, 0, 7, 7, 7, 7, 0, 0, 0, 7, 7], [7, 0, 0, 0, 0, 7, 7, 7, 0, 0, 7, 0, 0, 0, 0], [0, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 0], [7, 0, 0, 7, 7, 7, 0, 0, 7, 0, 0, 7, 7, 0, 7], [7, 7, 0, 7, 0, 0, 0, 0, 7, 7, 7, 0, 0, 7, 7], [7, 7, 7, 0, 0, 7, 7, 7, 0, 0, 7, 0, 0, 0, 0], [0, 7, 7, 0, 0, 0, 7, 0, 0, 7, 0, 0, 0, 7, 0], [0, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 7], [0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 0, 7, 0, 0, 7], [9, 0, 0, 9, 0, 0, 0, 9, 9, 0, 0, 9, 9, 0, 9], [9, 9, 9, 9, 9, 9, 9, 0, 0, 9, 9, 0, 0, 0, 9], [0, 0, 9, 9, 0, 9, 9, 0, 0, 0, 0, 9, 0, 0, 9], [9, 0, 9, 0, 9, 0, 0, 0, 9, 9, 9, 0, 0, 0, 9], [9, 9, 9, 0, 0, 0, 0, 9, 0, 0, 0, 0, 9, 9, 0], [0, 9, 9, 0, 9, 9, 0, 0, 9, 0, 9, 0, 9, 9, 0], [9, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 9, 9], [0, 9, 9, 9, 9, 0, 0, 9, 9, 0, 0, 0, 0, 9, 9], [0, 0, 0, 0, 9, 9, 0, 0, 9, 0, 0, 0, 9, 9, 9], [9, 9, 9, 9, 9, 9, 0, 0, 9, 0, 0, 0, 9, 0, 0], [9, 9, 0, 9, 9, 0, 0, 0, 0, 9, 9, 9, 9, 9, 0], [9, 0, 0, 0, 9, 9, 0, 9, 9, 9, 9, 0, 0, 9, 0], [0, 9, 0, 9, 0, 0, 0, 0, 0, 9, 9, 9, 9, 0, 0], [9, 9, 9, 9, 9, 9, 0, 9, 0, 9, 0, 0, 9, 9, 9], [0, 0, 9, 0, 0, 0, 9, 0, 0, 9, 0, 0, 9, 9, 9]] -> [[2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2], [0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2], [2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2], [2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0], [0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2], [2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2], [0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2], [2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0], [0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0], [2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2], [0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2]]\nExample input-output arrays:\n[[0, 0, 0, 0, 7, 0, 7, 7, 7, 7, 7, 0, 7, 7, 7], [0, 0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0], [0, 0, 0, 0, 7, 0, 7, 0, 7, 0, 7, 0, 0, 7, 7], [0, 0, 7, 0, 0, 0, 7, 7, 0, 7, 7, 7, 0, 0, 7], [0, 7, 0, 7, 0, 7, 0, 7, 7, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 7, 7, 0, 7, 7], [7, 7, 7, 0, 0, 0, 7, 7, 7, 7, 0, 0, 0, 7, 7], [7, 0, 0, 0, 0, 7, 7, 7, 0, 0, 7, 0, 0, 0, 0], [0, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 0], [7, 0, 0, 7, 7, 7, 0, 0, 7, 0, 0, 7, 7, 0, 7], [7, 7, 0, 7, 0, 0, 0, 0, 7, 7, 7, 0, 0, 7, 7], [7, 7, 7, 0, 0, 7, 7, 7, 0, 0, 7, 0, 0, 0, 0], [0, 7, 7, 0, 0, 0, 7, 0, 0, 7, 0, 0, 0, 7, 0], [0, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 7], [0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 0, 7, 0, 0, 7], [9, 0, 0, 9, 0, 0, 0, 9, 9, 0, 0, 9, 9, 0, 9], [9, 9, 9, 9, 9, 9, 9, 0, 0, 9, 9, 0, 0, 0, 9], [0, 0, 9, 9, 0, 9, 9, 0, 0, 0, 0, 9, 0, 0, 9], [9, 0, 9, 0, 9, 0, 0, 0, 9, 9, 9, 0, 0, 0, 9], [9, 9, 9, 0, 0, 0, 0, 9, 0, 0, 0, 0, 9, 9, 0], [0, 9, 9, 0, 9, 9, 0, 0, 9, 0, 9, 0, 9, 9, 0], [9, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 9, 9], [0, 9, 9, 9, 9, 0, 0, 9, 9, 0, 0, 0, 0, 9, 9], [0, 0, 0, 0, 9, 9, 0, 0, 9, 0, 0, 0, 9, 9, 9], [9, 9, 9, 9, 9, 9, 0, 0, 9, 0, 0, 0, 9, 0, 0], [9, 9, 0, 9, 9, 0, 0, 0, 0, 9, 9, 9, 9, 9, 0], [9, 0, 0, 0, 9, 9, 0, 9, 9, 9, 9, 0, 0, 9, 0], [0, 9, 0, 9, 0, 0, 0, 0, 0, 9, 9, 9, 9, 0, 0], [9, 9, 9, 9, 9, 9, 0, 9, 0, 9, 0, 0, 9, 9, 9], [0, 0, 9, 0, 0, 0, 9, 0, 0, 9, 0, 0, 9, 9, 9]] -> [[2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2], [0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2], [2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2], [2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0], [0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2], [2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2], [0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2], [2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0], [0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0], [2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2], [0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 0, 0, 0, 4, 0, 4, 4, 4, 4, 4, 0, 4, 4, 4], [0, 0, 4, 0, 0, 4, 0, 4, 0, 0, 0, 4, 0, 0, 0], [0, 0, 0, 0, 4, 0, 4, 0, 4, 0, 4, 0, 0, 4, 4], [0, 0, 4, 0, 0, 0, 4, 4, 0, 4, 4, 4, 0, 0, 4], [0, 4, 0, 4, 0, 4, 0, 4, 4, 0, 0, 0, 0, 0, 0], [0, 4, 0, 0, 4, 0, 4, 0, 0, 0, 4, 4, 0, 4, 4], [4, 4, 4, 0, 0, 0, 4, 4, 4, 4, 0, 0, 0, 4, 4], [4, 0, 0, 0, 0, 4, 4, 4, 0, 0, 4, 0, 0, 0, 0], [0, 4, 4, 0, 4, 4, 4, 0, 4, 4, 4, 4, 4, 0, 0], [4, 0, 0, 4, 4, 4, 0, 0, 4, 0, 0, 4, 4, 0, 4], [4, 4, 0, 4, 0, 0, 0, 0, 4, 4, 4, 0, 0, 4, 4], [4, 4, 4, 0, 0, 4, 4, 4, 0, 0, 4, 0, 0, 0, 0], [0, 4, 4, 0, 0, 0, 4, 0, 0, 4, 0, 0, 0, 4, 0], [0, 4, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 4], [0, 4, 4, 4, 0, 4, 0, 4, 4, 0, 0, 4, 0, 0, 4], [9, 0, 0, 9, 0, 0, 0, 9, 9, 0, 0, 9, 9, 0, 9], [9, 9, 9, 9, 9, 9, 9, 0, 0, 9, 9, 0, 0, 0, 9], [0, 0, 9, 9, 0, 9, 9, 0, 0, 0, 0, 9, 0, 0, 9], [9, 0, 9, 0, 9, 0, 0, 0, 9, 9, 9, 0, 0, 0, 9], [9, 9, 9, 0, 0, 0, 0, 9, 0, 0, 0, 0, 9, 9, 0], [0, 9, 9, 0, 9, 9, 0, 0, 9, 0, 9, 0, 9, 9, 0], [9, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 9, 9], [0, 9, 9, 9, 9, 0, 0, 9, 9, 0, 0, 0, 0, 9, 9], [0, 0, 0, 0, 9, 9, 0, 0, 9, 0, 0, 0, 9, 9, 9], [9, 9, 9, 9, 9, 9, 0, 0, 9, 0, 0, 0, 9, 0, 0], [9, 9, 0, 9, 9, 0, 0, 0, 0, 9, 9, 9, 9, 9, 0], [9, 0, 0, 0, 9, 9, 0, 9, 9, 9, 9, 0, 0, 9, 0], [0, 9, 0, 9, 0, 0, 0, 0, 0, 9, 9, 9, 9, 0, 0], [9, 9, 9, 9, 9, 9, 0, 9, 0, 9, 0, 0, 9, 9, 9], [0, 0, 9, 0, 0, 0, 9, 0, 0, 9, 0, 0, 9, 9, 9]] -> ",
+                "test": {
+                    "input": [
+                        [
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+                        [
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+                        [
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+                            0,
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+                        [
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+                        [
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+                            4,
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        ],
+                        [
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+                        ],
+                        [
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+                        ],
+                        [
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+                        ],
+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                            9,
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+                            0,
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+                            9,
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+                        ],
+                        [
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+                            0,
+                            9,
+                            9,
+                            9,
+                            9,
+                            0,
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+                            0
+                        ],
+                        [
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+                            0,
+                            9,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            9,
+                            9,
+                            9,
+                            9,
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+                        ],
+                        [
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            0,
+                            9,
+                            0,
+                            9,
+                            0,
+                            0,
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+                            9,
+                            9
+                        ],
+                        [
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+                            0,
+                            0,
+                            0,
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+                            0,
+                            0,
+                            9,
+                            0,
+                            0,
+                            9,
+                            9,
+                            9
+                        ]
+                    ],
+                    "output": [
+                        [
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
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+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2
+                        ],
+                        [
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+                            2,
+                            2,
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+                            0,
+                            2,
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+                            2,
+                            2,
+                            0,
+                            2,
+                            2
+                        ],
+                        [
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+                            2,
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+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2
+                        ],
+                        [
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+                            2,
+                            0,
+                            2,
+                            2,
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+                            0,
+                            0,
+                            2,
+                            2,
+                            0
+                        ],
+                        [
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+                            2
+                        ],
+                        [
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+                            2,
+                            2,
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+                            0,
+                            0,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2
+                        ],
+                        [
+                            0,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0
+                        ],
+                        [
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2
+                        ]
+                    ]
+                }
+            },
+            "Replicate 2": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[7, 7, 7, 0, 0, 7, 0, 0, 7, 7, 7, 0, 7, 7, 7], [0, 0, 0, 7, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 7, 0, 0, 7, 0], [7, 0, 7, 0, 0, 0, 0, 7, 7, 0, 7, 7, 7, 0, 7], [0, 0, 0, 0, 7, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0], [7, 0, 7, 0, 0, 0, 0, 7, 7, 7, 0, 7, 7, 0, 7], [0, 7, 7, 7, 7, 0, 7, 0, 0, 7, 7, 0, 0, 7, 0], [7, 0, 7, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 0, 7], [7, 7, 0, 0, 0, 7, 7, 0, 0, 7, 0, 0, 0, 0, 7], [7, 0, 7, 0, 0, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0], [7, 7, 7, 7, 0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 7], [7, 7, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7], [7, 0, 7, 0, 7, 7, 0, 0, 7, 7, 0, 0, 7, 7, 0], [0, 7, 7, 7, 7, 0, 0, 7, 7, 7, 7, 0, 0, 7, 0], [0, 0, 7, 0, 7, 7, 0, 7, 0, 7, 7, 7, 0, 7, 0], [9, 9, 9, 9, 0, 0, 9, 9, 9, 0, 0, 0, 0, 0, 0], [0, 9, 9, 9, 9, 9, 9, 9, 0, 9, 0, 0, 9, 0, 9], [9, 9, 9, 9, 0, 9, 9, 9, 0, 9, 0, 9, 0, 0, 9], [9, 0, 9, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0], [0, 9, 9, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0, 0, 9], [0, 0, 9, 9, 9, 0, 9, 9, 0, 9, 9, 9, 0, 9, 0], [0, 9, 0, 9, 9, 9, 0, 0, 0, 9, 9, 0, 0, 0, 9], [9, 9, 0, 0, 9, 0, 9, 9, 0, 9, 0, 0, 9, 0, 9], [9, 0, 9, 0, 9, 9, 9, 0, 0, 0, 9, 9, 9, 9, 9], [0, 0, 9, 9, 0, 0, 9, 9, 9, 0, 9, 9, 9, 0, 9], [9, 0, 0, 0, 0, 9, 9, 0, 0, 9, 0, 0, 9, 9, 9], [9, 0, 0, 9, 9, 9, 9, 9, 9, 9, 0, 0, 0, 0, 9], [9, 0, 0, 0, 0, 9, 0, 9, 9, 9, 9, 9, 0, 9, 0], [0, 9, 9, 0, 9, 0, 0, 9, 9, 9, 9, 9, 0, 9, 9], [0, 9, 0, 9, 9, 0, 0, 9, 0, 9, 9, 0, 9, 0, 0]] -> [[2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2], [0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2], [2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2], [2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2], [0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2], [2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2], [0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2], [2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2], [2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2], [2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2], [2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2], [2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0], [0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2], [0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0]]\nExample input-output arrays:\n[[7, 0, 7, 0, 7, 7, 0, 0, 0, 0, 7, 7, 7, 7, 0], [7, 0, 7, 7, 7, 7, 0, 0, 7, 0, 0, 7, 0, 7, 7], [0, 0, 0, 0, 7, 7, 0, 7, 7, 0, 7, 0, 7, 0, 0], [0, 0, 0, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 7], [0, 0, 7, 7, 7, 7, 0, 0, 7, 0, 0, 7, 7, 7, 0], [7, 0, 0, 0, 7, 7, 0, 0, 7, 7, 7, 7, 0, 7, 7], [0, 7, 7, 7, 7, 0, 0, 7, 0, 0, 7, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0], [7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7], [0, 0, 0, 7, 7, 7, 0, 7, 0, 7, 7, 7, 0, 0, 7], [0, 7, 7, 0, 0, 0, 7, 7, 7, 0, 0, 0, 7, 0, 7], [7, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7], [7, 7, 7, 0, 0, 7, 7, 0, 7, 7, 0, 7, 0, 0, 0], [0, 7, 0, 0, 0, 7, 7, 0, 7, 0, 7, 7, 0, 7, 0], [0, 7, 7, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7], [9, 9, 9, 9, 9, 9, 0, 0, 0, 0, 9, 0, 0, 9, 9], [0, 0, 9, 9, 0, 0, 9, 9, 9, 0, 0, 9, 0, 0, 0], [9, 9, 9, 9, 0, 0, 0, 0, 9, 9, 9, 9, 0, 0, 9], [0, 0, 9, 9, 0, 9, 9, 0, 9, 0, 0, 9, 9, 9, 0], [9, 0, 0, 0, 0, 0, 0, 9, 9, 0, 9, 0, 0, 9, 9], [0, 9, 0, 9, 0, 9, 9, 0, 9, 0, 0, 9, 9, 9, 0], [0, 0, 0, 0, 9, 0, 9, 9, 0, 9, 9, 0, 9, 0, 9], [0, 9, 0, 9, 9, 9, 9, 0, 9, 9, 0, 9, 9, 9, 0], [0, 9, 9, 0, 0, 9, 9, 0, 9, 0, 9, 0, 0, 0, 0], [0, 9, 0, 9, 0, 9, 0, 0, 9, 0, 9, 0, 0, 0, 9], [9, 9, 0, 0, 0, 0, 9, 0, 9, 0, 0, 0, 0, 9, 9], [9, 9, 0, 9, 9, 9, 9, 0, 9, 9, 9, 9, 9, 0, 0], [0, 0, 0, 9, 0, 0, 9, 9, 9, 0, 0, 0, 0, 9, 0], [0, 0, 9, 9, 0, 9, 9, 9, 0, 0, 9, 0, 9, 9, 9], [9, 0, 0, 9, 9, 0, 0, 0, 9, 9, 0, 0, 9, 0, 0]] -> [[2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2], [2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2], [2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2], [0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2], [2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2], [0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2], [0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0], [2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2], [0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2], [2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2], [2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0], [0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2]]\nExample input-output arrays:\n[[7, 0, 7, 0, 7, 0, 7, 7, 0, 7, 0, 7, 0, 7, 7], [0, 7, 7, 0, 7, 7, 0, 7, 0, 7, 0, 0, 0, 7, 7], [0, 7, 0, 0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 0, 0], [7, 7, 7, 7, 0, 7, 0, 0, 7, 0, 0, 7, 7, 7, 7], [7, 0, 0, 0, 7, 7, 7, 0, 7, 0, 0, 7, 0, 7, 0], [7, 7, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 7, 0], [7, 0, 0, 7, 0, 0, 7, 7, 0, 7, 7, 0, 0, 0, 0], [7, 0, 7, 0, 0, 0, 0, 7, 0, 0, 7, 0, 7, 7, 7], [0, 7, 7, 0, 0, 0, 7, 0, 7, 0, 7, 0, 7, 0, 0], [0, 7, 7, 0, 7, 0, 0, 7, 7, 7, 7, 7, 0, 0, 0], [7, 0, 7, 0, 0, 7, 7, 7, 7, 0, 7, 0, 0, 7, 0], [0, 0, 0, 7, 0, 0, 7, 7, 7, 0, 0, 0, 7, 0, 7], [7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 0], [0, 0, 7, 7, 0, 7, 0, 7, 7, 7, 0, 0, 0, 0, 0], [0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 7, 0], [9, 9, 9, 0, 0, 0, 0, 0, 0, 0, 9, 0, 9, 0, 9], [0, 9, 0, 0, 0, 0, 9, 0, 9, 0, 0, 0, 0, 0, 0], [9, 9, 0, 0, 9, 0, 0, 0, 9, 9, 0, 0, 9, 0, 0], [0, 0, 0, 0, 9, 9, 0, 9, 0, 9, 0, 0, 9, 9, 9], [0, 9, 0, 0, 9, 9, 9, 9, 0, 0, 9, 0, 0, 0, 0], [9, 0, 9, 9, 9, 9, 0, 9, 0, 0, 9, 9, 9, 0, 9], [9, 0, 0, 0, 0, 0, 9, 9, 9, 0, 9, 0, 0, 9, 0], [9, 9, 9, 0, 0, 0, 9, 0, 9, 9, 0, 0, 9, 9, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 0, 0, 0], [9, 0, 0, 9, 0, 0, 9, 0, 9, 9, 9, 0, 0, 0, 9], [0, 9, 0, 9, 0, 0, 0, 0, 9, 0, 9, 9, 9, 0, 0], [0, 0, 0, 9, 0, 9, 0, 9, 9, 9, 0, 9, 0, 0, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 0, 0], [9, 9, 0, 0, 0, 9, 0, 9, 0, 0, 9, 0, 9, 9, 0], [0, 0, 9, 9, 0, 0, 0, 9, 0, 0, 9, 9, 9, 0, 0]] -> [[2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2], [0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2], [2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0], [2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2], [2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0], [2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2], [2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0], [2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2], [0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0], [2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2], [2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0], [0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0], [2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0], [0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[4, 0, 4, 0, 4, 0, 4, 4, 0, 4, 0, 4, 0, 4, 4], [0, 4, 4, 0, 4, 4, 0, 4, 0, 4, 0, 0, 0, 4, 4], [0, 4, 0, 0, 4, 4, 4, 0, 4, 0, 4, 0, 0, 0, 0], [4, 4, 4, 4, 0, 4, 0, 0, 4, 0, 0, 4, 4, 4, 4], [4, 0, 0, 0, 4, 4, 4, 0, 4, 0, 0, 4, 0, 4, 0], [4, 4, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 4, 0], [4, 0, 0, 4, 0, 0, 4, 4, 0, 4, 4, 0, 0, 0, 0], [4, 0, 4, 0, 0, 0, 0, 4, 0, 0, 4, 0, 4, 4, 4], [0, 4, 4, 0, 0, 0, 4, 0, 4, 0, 4, 0, 4, 0, 0], [0, 4, 4, 0, 4, 0, 0, 4, 4, 4, 4, 4, 0, 0, 0], [4, 0, 4, 0, 0, 4, 4, 4, 4, 0, 4, 0, 0, 4, 0], [0, 0, 0, 4, 0, 0, 4, 4, 4, 0, 0, 0, 4, 0, 4], [4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 4, 0], [0, 0, 4, 4, 0, 4, 0, 4, 4, 4, 0, 0, 0, 0, 0], [0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 4, 4, 0], [9, 9, 9, 0, 0, 0, 0, 0, 0, 0, 9, 0, 9, 0, 9], [0, 9, 0, 0, 0, 0, 9, 0, 9, 0, 0, 0, 0, 0, 0], [9, 9, 0, 0, 9, 0, 0, 0, 9, 9, 0, 0, 9, 0, 0], [0, 0, 0, 0, 9, 9, 0, 9, 0, 9, 0, 0, 9, 9, 9], [0, 9, 0, 0, 9, 9, 9, 9, 0, 0, 9, 0, 0, 0, 0], [9, 0, 9, 9, 9, 9, 0, 9, 0, 0, 9, 9, 9, 0, 9], [9, 0, 0, 0, 0, 0, 9, 9, 9, 0, 9, 0, 0, 9, 0], [9, 9, 9, 0, 0, 0, 9, 0, 9, 9, 0, 0, 9, 9, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 0, 0, 0], [9, 0, 0, 9, 0, 0, 9, 0, 9, 9, 9, 0, 0, 0, 9], [0, 9, 0, 9, 0, 0, 0, 0, 9, 0, 9, 9, 9, 0, 0], [0, 0, 0, 9, 0, 9, 0, 9, 9, 9, 0, 9, 0, 0, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 0, 0], [9, 9, 0, 0, 0, 9, 0, 9, 0, 0, 9, 0, 9, 9, 0], [0, 0, 9, 9, 0, 0, 0, 9, 0, 0, 9, 9, 9, 0, 0]] -> ",
+                "test": {
+                    "input": [
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+                            0,
+                            0,
+                            9,
+                            0,
+                            9,
+                            9,
+                            9,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            9,
+                            0,
+                            9,
+                            0,
+                            9,
+                            9,
+                            9,
+                            0,
+                            9,
+                            0,
+                            0,
+                            9
+                        ],
+                        [
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            9,
+                            9,
+                            0,
+                            0,
+                            0,
+                            9,
+                            0,
+                            9,
+                            0,
+                            0,
+                            9,
+                            0,
+                            9,
+                            9,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            9,
+                            9,
+                            0,
+                            0,
+                            0,
+                            9,
+                            0,
+                            0,
+                            9,
+                            9,
+                            9,
+                            0,
+                            0
+                        ]
+                    ],
+                    "output": [
+                        [
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            0,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            0,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            0,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            0
+                        ],
+                        [
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0
+                        ]
+                    ]
+                }
+            },
+            "Replicate 3": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[7, 0, 7, 0, 7, 0, 7, 7, 0, 7, 0, 7, 0, 7, 7], [0, 7, 7, 0, 7, 7, 0, 7, 0, 7, 0, 0, 0, 7, 7], [0, 7, 0, 0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 0, 0], [7, 7, 7, 7, 0, 7, 0, 0, 7, 0, 0, 7, 7, 7, 7], [7, 0, 0, 0, 7, 7, 7, 0, 7, 0, 0, 7, 0, 7, 0], [7, 7, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 7, 0], [7, 0, 0, 7, 0, 0, 7, 7, 0, 7, 7, 0, 0, 0, 0], [7, 0, 7, 0, 0, 0, 0, 7, 0, 0, 7, 0, 7, 7, 7], [0, 7, 7, 0, 0, 0, 7, 0, 7, 0, 7, 0, 7, 0, 0], [0, 7, 7, 0, 7, 0, 0, 7, 7, 7, 7, 7, 0, 0, 0], [7, 0, 7, 0, 0, 7, 7, 7, 7, 0, 7, 0, 0, 7, 0], [0, 0, 0, 7, 0, 0, 7, 7, 7, 0, 0, 0, 7, 0, 7], [7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 0], [0, 0, 7, 7, 0, 7, 0, 7, 7, 7, 0, 0, 0, 0, 0], [0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 7, 0], [9, 9, 9, 0, 0, 0, 0, 0, 0, 0, 9, 0, 9, 0, 9], [0, 9, 0, 0, 0, 0, 9, 0, 9, 0, 0, 0, 0, 0, 0], [9, 9, 0, 0, 9, 0, 0, 0, 9, 9, 0, 0, 9, 0, 0], [0, 0, 0, 0, 9, 9, 0, 9, 0, 9, 0, 0, 9, 9, 9], [0, 9, 0, 0, 9, 9, 9, 9, 0, 0, 9, 0, 0, 0, 0], [9, 0, 9, 9, 9, 9, 0, 9, 0, 0, 9, 9, 9, 0, 9], [9, 0, 0, 0, 0, 0, 9, 9, 9, 0, 9, 0, 0, 9, 0], [9, 9, 9, 0, 0, 0, 9, 0, 9, 9, 0, 0, 9, 9, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 0, 0, 0], [9, 0, 0, 9, 0, 0, 9, 0, 9, 9, 9, 0, 0, 0, 9], [0, 9, 0, 9, 0, 0, 0, 0, 9, 0, 9, 9, 9, 0, 0], [0, 0, 0, 9, 0, 9, 0, 9, 9, 9, 0, 9, 0, 0, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 0, 0], [9, 9, 0, 0, 0, 9, 0, 9, 0, 0, 9, 0, 9, 9, 0], [0, 0, 9, 9, 0, 0, 0, 9, 0, 0, 9, 9, 9, 0, 0]] -> [[2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2], [0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2], [2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0], [2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2], [2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0], [2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2], [2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0], [2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2], [0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0], [2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2], [2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0], [0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0], [2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0], [0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0]]\nExample input-output arrays:\n[[7, 0, 7, 0, 7, 7, 0, 0, 0, 0, 7, 7, 7, 7, 0], [7, 0, 7, 7, 7, 7, 0, 0, 7, 0, 0, 7, 0, 7, 7], [0, 0, 0, 0, 7, 7, 0, 7, 7, 0, 7, 0, 7, 0, 0], [0, 0, 0, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 7], [0, 0, 7, 7, 7, 7, 0, 0, 7, 0, 0, 7, 7, 7, 0], [7, 0, 0, 0, 7, 7, 0, 0, 7, 7, 7, 7, 0, 7, 7], [0, 7, 7, 7, 7, 0, 0, 7, 0, 0, 7, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0], [7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7], [0, 0, 0, 7, 7, 7, 0, 7, 0, 7, 7, 7, 0, 0, 7], [0, 7, 7, 0, 0, 0, 7, 7, 7, 0, 0, 0, 7, 0, 7], [7, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7], [7, 7, 7, 0, 0, 7, 7, 0, 7, 7, 0, 7, 0, 0, 0], [0, 7, 0, 0, 0, 7, 7, 0, 7, 0, 7, 7, 0, 7, 0], [0, 7, 7, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7], [9, 9, 9, 9, 9, 9, 0, 0, 0, 0, 9, 0, 0, 9, 9], [0, 0, 9, 9, 0, 0, 9, 9, 9, 0, 0, 9, 0, 0, 0], [9, 9, 9, 9, 0, 0, 0, 0, 9, 9, 9, 9, 0, 0, 9], [0, 0, 9, 9, 0, 9, 9, 0, 9, 0, 0, 9, 9, 9, 0], [9, 0, 0, 0, 0, 0, 0, 9, 9, 0, 9, 0, 0, 9, 9], [0, 9, 0, 9, 0, 9, 9, 0, 9, 0, 0, 9, 9, 9, 0], [0, 0, 0, 0, 9, 0, 9, 9, 0, 9, 9, 0, 9, 0, 9], [0, 9, 0, 9, 9, 9, 9, 0, 9, 9, 0, 9, 9, 9, 0], [0, 9, 9, 0, 0, 9, 9, 0, 9, 0, 9, 0, 0, 0, 0], [0, 9, 0, 9, 0, 9, 0, 0, 9, 0, 9, 0, 0, 0, 9], [9, 9, 0, 0, 0, 0, 9, 0, 9, 0, 0, 0, 0, 9, 9], [9, 9, 0, 9, 9, 9, 9, 0, 9, 9, 9, 9, 9, 0, 0], [0, 0, 0, 9, 0, 0, 9, 9, 9, 0, 0, 0, 0, 9, 0], [0, 0, 9, 9, 0, 9, 9, 9, 0, 0, 9, 0, 9, 9, 9], [9, 0, 0, 9, 9, 0, 0, 0, 9, 9, 0, 0, 9, 0, 0]] -> [[2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2], [2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2], [2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2], [0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2], [2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2], [0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2], [0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0], [2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2], [0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2], [2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2], [2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0], [0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2]]\nExample input-output arrays:\n[[7, 7, 0, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 0, 7], [0, 7, 7, 0, 0, 7, 7, 0, 7, 7, 7, 0, 0, 7, 0], [0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 0, 7], [0, 7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 0, 7, 0, 7], [0, 7, 7, 7, 0, 7, 0, 0, 0, 7, 7, 7, 0, 0, 0], [0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 7, 0, 7, 7, 0], [7, 7, 0, 0, 0, 7, 7, 0, 0, 0, 0, 7, 7, 0, 0], [7, 7, 7, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 7, 0], [7, 7, 0, 7, 7, 0, 7, 7, 7, 0, 7, 7, 0, 7, 0], [0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 7, 7, 0, 0], [0, 0, 7, 0, 0, 7, 0, 0, 7, 7, 0, 7, 7, 7, 7], [7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 0, 0, 7, 0, 0], [7, 7, 7, 0, 0, 0, 7, 7, 0, 0, 7, 0, 0, 7, 7], [0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 7, 7, 0, 7, 0, 7, 7, 7, 7, 7, 0, 0, 0], [0, 9, 0, 0, 0, 9, 9, 9, 9, 0, 9, 0, 0, 9, 0], [9, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0, 0, 9, 9, 0], [9, 0, 9, 9, 9, 9, 0, 9, 9, 9, 9, 0, 9, 9, 9], [0, 9, 0, 0, 0, 9, 0, 9, 9, 0, 0, 0, 0, 9, 0], [9, 0, 0, 0, 9, 9, 0, 9, 9, 0, 0, 9, 0, 9, 9], [0, 0, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 9, 9, 0], [0, 9, 9, 0, 9, 0, 9, 9, 0, 0, 9, 9, 9, 0, 0], [0, 9, 0, 9, 9, 9, 0, 9, 9, 0, 0, 0, 0, 9, 0], [0, 0, 0, 0, 0, 9, 0, 0, 9, 9, 0, 9, 0, 0, 0], [9, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 9, 0], [0, 9, 9, 0, 9, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0], [0, 0, 9, 9, 0, 0, 9, 9, 0, 9, 0, 0, 9, 0, 9], [9, 0, 0, 9, 9, 0, 9, 0, 0, 9, 0, 0, 0, 0, 0], [9, 9, 0, 9, 9, 9, 0, 0, 9, 0, 0, 0, 9, 0, 0], [9, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0, 9, 0, 0, 9]] -> [[2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2], [0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2], [2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2], [0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0], [2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0], [2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0], [2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0], [0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2], [2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2], [2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2], [2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0], [2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[3, 3, 0, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 0, 3], [0, 3, 3, 0, 0, 3, 3, 0, 3, 3, 3, 0, 0, 3, 0], [0, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3, 0, 0, 0, 3], [0, 3, 0, 3, 3, 3, 3, 3, 3, 0, 0, 0, 3, 0, 3], [0, 3, 3, 3, 0, 3, 0, 0, 0, 3, 3, 3, 0, 0, 0], [0, 3, 3, 0, 0, 0, 0, 3, 0, 0, 3, 0, 3, 3, 0], [3, 3, 0, 0, 0, 3, 3, 0, 0, 0, 0, 3, 3, 0, 0], [3, 3, 3, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 3, 0], [3, 3, 0, 3, 3, 0, 3, 3, 3, 0, 3, 3, 0, 3, 0], [0, 3, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 3, 0, 0], [0, 0, 3, 0, 0, 3, 0, 0, 3, 3, 0, 3, 3, 3, 3], [3, 0, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 3, 0, 0], [3, 3, 3, 0, 0, 0, 3, 3, 0, 0, 3, 0, 0, 3, 3], [0, 0, 3, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 3, 0, 3, 0, 3, 3, 3, 3, 3, 0, 0, 0], [0, 9, 0, 0, 0, 9, 9, 9, 9, 0, 9, 0, 0, 9, 0], [9, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0, 0, 9, 9, 0], [9, 0, 9, 9, 9, 9, 0, 9, 9, 9, 9, 0, 9, 9, 9], [0, 9, 0, 0, 0, 9, 0, 9, 9, 0, 0, 0, 0, 9, 0], [9, 0, 0, 0, 9, 9, 0, 9, 9, 0, 0, 9, 0, 9, 9], [0, 0, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 9, 9, 0], [0, 9, 9, 0, 9, 0, 9, 9, 0, 0, 9, 9, 9, 0, 0], [0, 9, 0, 9, 9, 9, 0, 9, 9, 0, 0, 0, 0, 9, 0], [0, 0, 0, 0, 0, 9, 0, 0, 9, 9, 0, 9, 0, 0, 0], [9, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 9, 0], [0, 9, 9, 0, 9, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0], [0, 0, 9, 9, 0, 0, 9, 9, 0, 9, 0, 0, 9, 0, 9], [9, 0, 0, 9, 9, 0, 9, 0, 0, 9, 0, 0, 0, 0, 0], [9, 9, 0, 9, 9, 9, 0, 0, 9, 0, 0, 0, 9, 0, 0], [9, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0, 9, 0, 0, 9]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3
+                        ],
+                        [
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0
+                        ],
+                        [
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3
+                        ],
+                        [
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3
+                        ],
+                        [
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            3,
+                            3,
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+                    ],
+                    "output": [
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+                        [
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+                        [
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+                    ]
+                }
+            },
+            "Replicate 4": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[7, 0, 7, 0, 7, 7, 0, 0, 0, 0, 7, 7, 7, 7, 0], [7, 0, 7, 7, 7, 7, 0, 0, 7, 0, 0, 7, 0, 7, 7], [0, 0, 0, 0, 7, 7, 0, 7, 7, 0, 7, 0, 7, 0, 0], [0, 0, 0, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 7], [0, 0, 7, 7, 7, 7, 0, 0, 7, 0, 0, 7, 7, 7, 0], [7, 0, 0, 0, 7, 7, 0, 0, 7, 7, 7, 7, 0, 7, 7], [0, 7, 7, 7, 7, 0, 0, 7, 0, 0, 7, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0], [7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7], [0, 0, 0, 7, 7, 7, 0, 7, 0, 7, 7, 7, 0, 0, 7], [0, 7, 7, 0, 0, 0, 7, 7, 7, 0, 0, 0, 7, 0, 7], [7, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7], [7, 7, 7, 0, 0, 7, 7, 0, 7, 7, 0, 7, 0, 0, 0], [0, 7, 0, 0, 0, 7, 7, 0, 7, 0, 7, 7, 0, 7, 0], [0, 7, 7, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7], [9, 9, 9, 9, 9, 9, 0, 0, 0, 0, 9, 0, 0, 9, 9], [0, 0, 9, 9, 0, 0, 9, 9, 9, 0, 0, 9, 0, 0, 0], [9, 9, 9, 9, 0, 0, 0, 0, 9, 9, 9, 9, 0, 0, 9], [0, 0, 9, 9, 0, 9, 9, 0, 9, 0, 0, 9, 9, 9, 0], [9, 0, 0, 0, 0, 0, 0, 9, 9, 0, 9, 0, 0, 9, 9], [0, 9, 0, 9, 0, 9, 9, 0, 9, 0, 0, 9, 9, 9, 0], [0, 0, 0, 0, 9, 0, 9, 9, 0, 9, 9, 0, 9, 0, 9], [0, 9, 0, 9, 9, 9, 9, 0, 9, 9, 0, 9, 9, 9, 0], [0, 9, 9, 0, 0, 9, 9, 0, 9, 0, 9, 0, 0, 0, 0], [0, 9, 0, 9, 0, 9, 0, 0, 9, 0, 9, 0, 0, 0, 9], [9, 9, 0, 0, 0, 0, 9, 0, 9, 0, 0, 0, 0, 9, 9], [9, 9, 0, 9, 9, 9, 9, 0, 9, 9, 9, 9, 9, 0, 0], [0, 0, 0, 9, 0, 0, 9, 9, 9, 0, 0, 0, 0, 9, 0], [0, 0, 9, 9, 0, 9, 9, 9, 0, 0, 9, 0, 9, 9, 9], [9, 0, 0, 9, 9, 0, 0, 0, 9, 9, 0, 0, 9, 0, 0]] -> [[2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2], [2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2], [2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2], [0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2], [2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2], [0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2], [0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0], [2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2], [0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2], [2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2], [2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0], [0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2]]\nExample input-output arrays:\n[[7, 7, 7, 0, 0, 7, 0, 0, 7, 7, 7, 0, 7, 7, 7], [0, 0, 0, 7, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 7, 0, 0, 7, 0], [7, 0, 7, 0, 0, 0, 0, 7, 7, 0, 7, 7, 7, 0, 7], [0, 0, 0, 0, 7, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0], [7, 0, 7, 0, 0, 0, 0, 7, 7, 7, 0, 7, 7, 0, 7], [0, 7, 7, 7, 7, 0, 7, 0, 0, 7, 7, 0, 0, 7, 0], [7, 0, 7, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 0, 7], [7, 7, 0, 0, 0, 7, 7, 0, 0, 7, 0, 0, 0, 0, 7], [7, 0, 7, 0, 0, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0], [7, 7, 7, 7, 0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 7], [7, 7, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7], [7, 0, 7, 0, 7, 7, 0, 0, 7, 7, 0, 0, 7, 7, 0], [0, 7, 7, 7, 7, 0, 0, 7, 7, 7, 7, 0, 0, 7, 0], [0, 0, 7, 0, 7, 7, 0, 7, 0, 7, 7, 7, 0, 7, 0], [9, 9, 9, 9, 0, 0, 9, 9, 9, 0, 0, 0, 0, 0, 0], [0, 9, 9, 9, 9, 9, 9, 9, 0, 9, 0, 0, 9, 0, 9], [9, 9, 9, 9, 0, 9, 9, 9, 0, 9, 0, 9, 0, 0, 9], [9, 0, 9, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0], [0, 9, 9, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0, 0, 9], [0, 0, 9, 9, 9, 0, 9, 9, 0, 9, 9, 9, 0, 9, 0], [0, 9, 0, 9, 9, 9, 0, 0, 0, 9, 9, 0, 0, 0, 9], [9, 9, 0, 0, 9, 0, 9, 9, 0, 9, 0, 0, 9, 0, 9], [9, 0, 9, 0, 9, 9, 9, 0, 0, 0, 9, 9, 9, 9, 9], [0, 0, 9, 9, 0, 0, 9, 9, 9, 0, 9, 9, 9, 0, 9], [9, 0, 0, 0, 0, 9, 9, 0, 0, 9, 0, 0, 9, 9, 9], [9, 0, 0, 9, 9, 9, 9, 9, 9, 9, 0, 0, 0, 0, 9], [9, 0, 0, 0, 0, 9, 0, 9, 9, 9, 9, 9, 0, 9, 0], [0, 9, 9, 0, 9, 0, 0, 9, 9, 9, 9, 9, 0, 9, 9], [0, 9, 0, 9, 9, 0, 0, 9, 0, 9, 9, 0, 9, 0, 0]] -> [[2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2], [0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2], [2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2], [2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2], [0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2], [2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2], [0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2], [2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2], [2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2], [2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2], [2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2], [2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0], [0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2], [0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0]]\nExample input-output arrays:\n[[7, 7, 7, 0, 0, 7, 0, 0, 7, 7, 7, 0, 7, 7, 7], [0, 0, 0, 7, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 7, 0, 0, 7, 0], [7, 0, 7, 0, 0, 0, 0, 7, 7, 0, 7, 7, 7, 0, 7], [0, 0, 0, 0, 7, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0], [7, 0, 7, 0, 0, 0, 0, 7, 7, 7, 0, 7, 7, 0, 7], [0, 7, 7, 7, 7, 0, 7, 0, 0, 7, 7, 0, 0, 7, 0], [7, 0, 7, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 0, 7], [7, 7, 0, 0, 0, 7, 7, 0, 0, 7, 0, 0, 0, 0, 7], [7, 0, 7, 0, 0, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0], [7, 7, 7, 7, 0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 7], [7, 7, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7], [7, 0, 7, 0, 7, 7, 0, 0, 7, 7, 0, 0, 7, 7, 0], [0, 7, 7, 7, 7, 0, 0, 7, 7, 7, 7, 0, 0, 7, 0], [0, 0, 7, 0, 7, 7, 0, 7, 0, 7, 7, 7, 0, 7, 0], [9, 9, 9, 9, 0, 0, 9, 9, 9, 0, 0, 0, 0, 0, 0], [0, 9, 9, 9, 9, 9, 9, 9, 0, 9, 0, 0, 9, 0, 9], [9, 9, 9, 9, 0, 9, 9, 9, 0, 9, 0, 9, 0, 0, 9], [9, 0, 9, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0], [0, 9, 9, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0, 0, 9], [0, 0, 9, 9, 9, 0, 9, 9, 0, 9, 9, 9, 0, 9, 0], [0, 9, 0, 9, 9, 9, 0, 0, 0, 9, 9, 0, 0, 0, 9], [9, 9, 0, 0, 9, 0, 9, 9, 0, 9, 0, 0, 9, 0, 9], [9, 0, 9, 0, 9, 9, 9, 0, 0, 0, 9, 9, 9, 9, 9], [0, 0, 9, 9, 0, 0, 9, 9, 9, 0, 9, 9, 9, 0, 9], [9, 0, 0, 0, 0, 9, 9, 0, 0, 9, 0, 0, 9, 9, 9], [9, 0, 0, 9, 9, 9, 9, 9, 9, 9, 0, 0, 0, 0, 9], [9, 0, 0, 0, 0, 9, 0, 9, 9, 9, 9, 9, 0, 9, 0], [0, 9, 9, 0, 9, 0, 0, 9, 9, 9, 9, 9, 0, 9, 9], [0, 9, 0, 9, 9, 0, 0, 9, 0, 9, 9, 0, 9, 0, 0]] -> [[2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2], [0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2], [2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2], [2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2], [0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2], [2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2], [0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2], [2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2], [2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2], [2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2], [2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2], [2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0], [0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2], [0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[5, 5, 5, 0, 0, 5, 0, 0, 5, 5, 5, 0, 5, 5, 5], [0, 0, 0, 5, 5, 0, 5, 0, 0, 0, 5, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 5, 0, 0, 5, 5, 0, 0, 5, 0], [5, 0, 5, 0, 0, 0, 0, 5, 5, 0, 5, 5, 5, 0, 5], [0, 0, 0, 0, 5, 0, 5, 0, 5, 5, 0, 0, 0, 5, 0], [5, 0, 5, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 0, 5], [0, 5, 5, 5, 5, 0, 5, 0, 0, 5, 5, 0, 0, 5, 0], [5, 0, 5, 0, 0, 0, 0, 0, 0, 5, 5, 5, 5, 0, 5], [5, 5, 0, 0, 0, 5, 5, 0, 0, 5, 0, 0, 0, 0, 5], [5, 0, 5, 0, 0, 5, 5, 5, 5, 5, 0, 0, 0, 0, 0], [5, 5, 5, 5, 0, 5, 5, 5, 0, 5, 0, 5, 0, 0, 5], [5, 5, 5, 0, 5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5], [5, 0, 5, 0, 5, 5, 0, 0, 5, 5, 0, 0, 5, 5, 0], [0, 5, 5, 5, 5, 0, 0, 5, 5, 5, 5, 0, 0, 5, 0], [0, 0, 5, 0, 5, 5, 0, 5, 0, 5, 5, 5, 0, 5, 0], [9, 9, 9, 9, 0, 0, 9, 9, 9, 0, 0, 0, 0, 0, 0], [0, 9, 9, 9, 9, 9, 9, 9, 0, 9, 0, 0, 9, 0, 9], [9, 9, 9, 9, 0, 9, 9, 9, 0, 9, 0, 9, 0, 0, 9], [9, 0, 9, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0], [0, 9, 9, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0, 0, 9], [0, 0, 9, 9, 9, 0, 9, 9, 0, 9, 9, 9, 0, 9, 0], [0, 9, 0, 9, 9, 9, 0, 0, 0, 9, 9, 0, 0, 0, 9], [9, 9, 0, 0, 9, 0, 9, 9, 0, 9, 0, 0, 9, 0, 9], [9, 0, 9, 0, 9, 9, 9, 0, 0, 0, 9, 9, 9, 9, 9], [0, 0, 9, 9, 0, 0, 9, 9, 9, 0, 9, 9, 9, 0, 9], [9, 0, 0, 0, 0, 9, 9, 0, 0, 9, 0, 0, 9, 9, 9], [9, 0, 0, 9, 9, 9, 9, 9, 9, 9, 0, 0, 0, 0, 9], [9, 0, 0, 0, 0, 9, 0, 9, 9, 9, 9, 9, 0, 9, 0], [0, 9, 9, 0, 9, 0, 0, 9, 9, 9, 9, 9, 0, 9, 9], [0, 9, 0, 9, 9, 0, 0, 9, 0, 9, 9, 0, 9, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        ]
+                    ],
+                    "output": [
+                        [
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+                        [
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+                        [
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+                            2,
+                            2,
+                            2,
+                            2,
+                            0
+                        ],
+                        [
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2
+                        ],
+                        [
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0
+                        ]
+                    ]
+                }
+            }
+        },
+        "L3": {
+            "Replicate 0": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[7, 7, 7, 0, 0, 7, 0, 0, 7, 7, 7, 0, 7, 7, 7], [0, 0, 0, 7, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 7, 0, 0, 7, 0], [7, 0, 7, 0, 0, 0, 0, 7, 7, 0, 7, 7, 7, 0, 7], [0, 0, 0, 0, 7, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0], [7, 0, 7, 0, 0, 0, 0, 7, 7, 7, 0, 7, 7, 0, 7], [0, 7, 7, 7, 7, 0, 7, 0, 0, 7, 7, 0, 0, 7, 0], [7, 0, 7, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 0, 7], [7, 7, 0, 0, 0, 7, 7, 0, 0, 7, 0, 0, 0, 0, 7], [7, 0, 7, 0, 0, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0], [7, 7, 7, 7, 0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 7], [7, 7, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7], [7, 0, 7, 0, 7, 7, 0, 0, 7, 7, 0, 0, 7, 7, 0], [0, 7, 7, 7, 7, 0, 0, 7, 7, 7, 7, 0, 0, 7, 0], [0, 0, 7, 0, 7, 7, 0, 7, 0, 7, 7, 7, 0, 7, 0], [9, 9, 9, 9, 0, 0, 9, 9, 9, 0, 0, 0, 0, 0, 0], [0, 9, 9, 9, 9, 9, 9, 9, 0, 9, 0, 0, 9, 0, 9], [9, 9, 9, 9, 0, 9, 9, 9, 0, 9, 0, 9, 0, 0, 9], [9, 0, 9, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0], [0, 9, 9, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0, 0, 9], [0, 0, 9, 9, 9, 0, 9, 9, 0, 9, 9, 9, 0, 9, 0], [0, 9, 0, 9, 9, 9, 0, 0, 0, 9, 9, 0, 0, 0, 9], [9, 9, 0, 0, 9, 0, 9, 9, 0, 9, 0, 0, 9, 0, 9], [9, 0, 9, 0, 9, 9, 9, 0, 0, 0, 9, 9, 9, 9, 9], [0, 0, 9, 9, 0, 0, 9, 9, 9, 0, 9, 9, 9, 0, 9], [9, 0, 0, 0, 0, 9, 9, 0, 0, 9, 0, 0, 9, 9, 9], [9, 0, 0, 9, 9, 9, 9, 9, 9, 9, 0, 0, 0, 0, 9], [9, 0, 0, 0, 0, 9, 0, 9, 9, 9, 9, 9, 0, 9, 0], [0, 9, 9, 0, 9, 0, 0, 9, 9, 9, 9, 9, 0, 9, 9], [0, 9, 0, 9, 9, 0, 0, 9, 0, 9, 9, 0, 9, 0, 0]] -> [[2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2], [0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2], [2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2], [2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2], [0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2], [2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2], [0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2], [2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2], [2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2], [2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2], [2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2], [2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0], [0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2], [0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[7, 7, 7, 0, 0, 7, 0, 0, 7, 7, 7, 0, 7, 7, 7], [0, 0, 0, 7, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 7, 0, 0, 7, 0], [7, 0, 7, 0, 0, 0, 0, 7, 7, 0, 7, 7, 7, 0, 7], [0, 0, 0, 0, 7, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0], [7, 0, 7, 0, 0, 0, 0, 7, 7, 7, 0, 7, 7, 0, 7], [0, 7, 7, 7, 7, 0, 7, 0, 0, 7, 7, 0, 0, 7, 0], [7, 0, 7, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 0, 7], [7, 7, 0, 0, 0, 7, 7, 0, 0, 7, 0, 0, 0, 0, 7], [7, 0, 7, 0, 0, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0], [7, 7, 7, 7, 0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 7], [7, 7, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7], [7, 0, 7, 0, 7, 7, 0, 0, 7, 7, 0, 0, 7, 7, 0], [0, 7, 7, 7, 7, 0, 0, 7, 7, 7, 7, 0, 0, 7, 0], [0, 0, 7, 0, 7, 7, 0, 7, 0, 7, 7, 7, 0, 7, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2], [0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0], [2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2], [0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0], [2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2], [0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0], [2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2], [2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2], [2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0], [2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2], [2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2], [2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0], [0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0], [0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 7, 0, 7, 7, 7, 7, 7, 0, 7, 7, 7], [0, 0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0], [0, 0, 0, 0, 7, 0, 7, 0, 7, 0, 7, 0, 0, 7, 7], [0, 0, 7, 0, 0, 0, 7, 7, 0, 7, 7, 7, 0, 0, 7], [0, 7, 0, 7, 0, 7, 0, 7, 7, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 7, 7, 0, 7, 7], [7, 7, 7, 0, 0, 0, 7, 7, 7, 7, 0, 0, 0, 7, 7], [7, 0, 0, 0, 0, 7, 7, 7, 0, 0, 7, 0, 0, 0, 0], [0, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 0], [7, 0, 0, 7, 7, 7, 0, 0, 7, 0, 0, 7, 7, 0, 7], [7, 7, 0, 7, 0, 0, 0, 0, 7, 7, 7, 0, 0, 7, 7], [7, 7, 7, 0, 0, 7, 7, 7, 0, 0, 7, 0, 0, 0, 0], [0, 7, 7, 0, 0, 0, 7, 0, 0, 7, 0, 0, 0, 7, 0], [0, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 7], [0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 0, 7, 0, 0, 7], [9, 0, 0, 9, 0, 0, 0, 9, 9, 0, 0, 9, 9, 0, 9], [9, 9, 9, 9, 9, 9, 9, 0, 0, 9, 9, 0, 0, 0, 9], [0, 0, 9, 9, 0, 9, 9, 0, 0, 0, 0, 9, 0, 0, 9], [9, 0, 9, 0, 9, 0, 0, 0, 9, 9, 9, 0, 0, 0, 9], [9, 9, 9, 0, 0, 0, 0, 9, 0, 0, 0, 0, 9, 9, 0], [0, 9, 9, 0, 9, 9, 0, 0, 9, 0, 9, 0, 9, 9, 0], [9, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 9, 9], [0, 9, 9, 9, 9, 0, 0, 9, 9, 0, 0, 0, 0, 9, 9], [0, 0, 0, 0, 9, 9, 0, 0, 9, 0, 0, 0, 9, 9, 9], [9, 9, 9, 9, 9, 9, 0, 0, 9, 0, 0, 0, 9, 0, 0], [9, 9, 0, 9, 9, 0, 0, 0, 0, 9, 9, 9, 9, 9, 0], [9, 0, 0, 0, 9, 9, 0, 9, 9, 9, 9, 0, 0, 9, 0], [0, 9, 0, 9, 0, 0, 0, 0, 0, 9, 9, 9, 9, 0, 0], [9, 9, 9, 9, 9, 9, 0, 9, 0, 9, 0, 0, 9, 9, 9], [0, 0, 9, 0, 0, 0, 9, 0, 0, 9, 0, 0, 9, 9, 9]] -> [[2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2], [0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2], [2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2], [2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0], [0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2], [2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2], [0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2], [2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0], [0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0], [2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2], [0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [9, 0, 0, 9, 0, 0, 0, 9, 9, 0, 0, 9, 9, 0, 9], [9, 9, 9, 9, 9, 9, 9, 0, 0, 9, 9, 0, 0, 0, 9], [0, 0, 9, 9, 0, 9, 9, 0, 0, 0, 0, 9, 0, 0, 9], [9, 0, 9, 0, 9, 0, 0, 0, 9, 9, 9, 0, 0, 0, 9], [9, 9, 9, 0, 0, 0, 0, 9, 0, 0, 0, 0, 9, 9, 0], [0, 9, 9, 0, 9, 9, 0, 0, 9, 0, 9, 0, 9, 9, 0], [9, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 9, 9], [0, 9, 9, 9, 9, 0, 0, 9, 9, 0, 0, 0, 0, 9, 9], [0, 0, 0, 0, 9, 9, 0, 0, 9, 0, 0, 0, 9, 9, 9], [9, 9, 9, 9, 9, 9, 0, 0, 9, 0, 0, 0, 9, 0, 0], [9, 9, 0, 9, 9, 0, 0, 0, 0, 9, 9, 9, 9, 9, 0], [9, 0, 0, 0, 9, 9, 0, 9, 9, 9, 9, 0, 0, 9, 0], [0, 9, 0, 9, 0, 0, 0, 0, 0, 9, 9, 9, 9, 0, 0], [9, 9, 9, 9, 9, 9, 0, 9, 0, 9, 0, 0, 9, 9, 9], [0, 0, 9, 0, 0, 0, 9, 0, 0, 9, 0, 0, 9, 9, 9]] -> ",
+                "test": {
+                    "input": [
+                        [
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+                        [
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+                        [
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+                            0,
+                            9,
+                            9,
+                            0,
+                            0,
+                            0,
+                            0,
+                            9,
+                            9
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            9,
+                            9,
+                            0,
+                            0,
+                            9,
+                            0,
+                            0,
+                            0,
+                            9,
+                            9,
+                            9
+                        ],
+                        [
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            0,
+                            0,
+                            9,
+                            0,
+                            0,
+                            0,
+                            9,
+                            0,
+                            0
+                        ],
+                        [
+                            9,
+                            9,
+                            0,
+                            9,
+                            9,
+                            0,
+                            0,
+                            0,
+                            0,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            0
+                        ],
+                        [
+                            9,
+                            0,
+                            0,
+                            0,
+                            9,
+                            9,
+                            0,
+                            9,
+                            9,
+                            9,
+                            9,
+                            0,
+                            0,
+                            9,
+                            0
+                        ],
+                        [
+                            0,
+                            9,
+                            0,
+                            9,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            9,
+                            9,
+                            9,
+                            9,
+                            0,
+                            0
+                        ],
+                        [
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            0,
+                            9,
+                            0,
+                            9,
+                            0,
+                            0,
+                            9,
+                            9,
+                            9
+                        ],
+                        [
+                            0,
+                            0,
+                            9,
+                            0,
+                            0,
+                            0,
+                            9,
+                            0,
+                            0,
+                            9,
+                            0,
+                            0,
+                            9,
+                            9,
+                            9
+                        ]
+                    ],
+                    "output": [
+                        [
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2
+                        ],
+                        [
+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            2
+                        ],
+                        [
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0
+                        ],
+                        [
+                            0,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            2,
+                            0
+                        ],
+                        [
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2
+                        ],
+                        [
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0
+                        ],
+                        [
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0
+                        ],
+                        [
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0
+                        ],
+                        [
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2
+                        ]
+                    ]
+                }
+            },
+            "Replicate 1": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[7, 0, 7, 0, 7, 7, 0, 0, 0, 0, 7, 7, 7, 7, 0], [7, 0, 7, 7, 7, 7, 0, 0, 7, 0, 0, 7, 0, 7, 7], [0, 0, 0, 0, 7, 7, 0, 7, 7, 0, 7, 0, 7, 0, 0], [0, 0, 0, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 7], [0, 0, 7, 7, 7, 7, 0, 0, 7, 0, 0, 7, 7, 7, 0], [7, 0, 0, 0, 7, 7, 0, 0, 7, 7, 7, 7, 0, 7, 7], [0, 7, 7, 7, 7, 0, 0, 7, 0, 0, 7, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0], [7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7], [0, 0, 0, 7, 7, 7, 0, 7, 0, 7, 7, 7, 0, 0, 7], [0, 7, 7, 0, 0, 0, 7, 7, 7, 0, 0, 0, 7, 0, 7], [7, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7], [7, 7, 7, 0, 0, 7, 7, 0, 7, 7, 0, 7, 0, 0, 0], [0, 7, 0, 0, 0, 7, 7, 0, 7, 0, 7, 7, 0, 7, 0], [0, 7, 7, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7], [9, 9, 9, 9, 9, 9, 0, 0, 0, 0, 9, 0, 0, 9, 9], [0, 0, 9, 9, 0, 0, 9, 9, 9, 0, 0, 9, 0, 0, 0], [9, 9, 9, 9, 0, 0, 0, 0, 9, 9, 9, 9, 0, 0, 9], [0, 0, 9, 9, 0, 9, 9, 0, 9, 0, 0, 9, 9, 9, 0], [9, 0, 0, 0, 0, 0, 0, 9, 9, 0, 9, 0, 0, 9, 9], [0, 9, 0, 9, 0, 9, 9, 0, 9, 0, 0, 9, 9, 9, 0], [0, 0, 0, 0, 9, 0, 9, 9, 0, 9, 9, 0, 9, 0, 9], [0, 9, 0, 9, 9, 9, 9, 0, 9, 9, 0, 9, 9, 9, 0], [0, 9, 9, 0, 0, 9, 9, 0, 9, 0, 9, 0, 0, 0, 0], [0, 9, 0, 9, 0, 9, 0, 0, 9, 0, 9, 0, 0, 0, 9], [9, 9, 0, 0, 0, 0, 9, 0, 9, 0, 0, 0, 0, 9, 9], [9, 9, 0, 9, 9, 9, 9, 0, 9, 9, 9, 9, 9, 0, 0], [0, 0, 0, 9, 0, 0, 9, 9, 9, 0, 0, 0, 0, 9, 0], [0, 0, 9, 9, 0, 9, 9, 9, 0, 0, 9, 0, 9, 9, 9], [9, 0, 0, 9, 9, 0, 0, 0, 9, 9, 0, 0, 9, 0, 0]] -> [[2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2], [2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2], [2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2], [0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2], [2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2], [0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2], [0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0], [2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2], [0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2], [2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2], [2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0], [0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[7, 0, 7, 0, 7, 7, 0, 0, 0, 0, 7, 7, 7, 7, 0], [7, 0, 7, 7, 7, 7, 0, 0, 7, 0, 0, 7, 0, 7, 7], [0, 0, 0, 0, 7, 7, 0, 7, 7, 0, 7, 0, 7, 0, 0], [0, 0, 0, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 7], [0, 0, 7, 7, 7, 7, 0, 0, 7, 0, 0, 7, 7, 7, 0], [7, 0, 0, 0, 7, 7, 0, 0, 7, 7, 7, 7, 0, 7, 7], [0, 7, 7, 7, 7, 0, 0, 7, 0, 0, 7, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0], [7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7], [0, 0, 0, 7, 7, 7, 0, 7, 0, 7, 7, 7, 0, 0, 7], [0, 7, 7, 0, 0, 0, 7, 7, 7, 0, 0, 0, 7, 0, 7], [7, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7], [7, 7, 7, 0, 0, 7, 7, 0, 7, 7, 0, 7, 0, 0, 0], [0, 7, 0, 0, 0, 7, 7, 0, 7, 0, 7, 7, 0, 7, 0], [0, 7, 7, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0], [2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2], [0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0], [0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2], [0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0], [2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2], [0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0], [0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0], [2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2], [0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2], [0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2], [2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2], [2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0], [0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0], [0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2]]\nExample input-output arrays:\n[[7, 7, 0, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 0, 7], [0, 7, 7, 0, 0, 7, 7, 0, 7, 7, 7, 0, 0, 7, 0], [0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 0, 7], [0, 7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 0, 7, 0, 7], [0, 7, 7, 7, 0, 7, 0, 0, 0, 7, 7, 7, 0, 0, 0], [0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 7, 0, 7, 7, 0], [7, 7, 0, 0, 0, 7, 7, 0, 0, 0, 0, 7, 7, 0, 0], [7, 7, 7, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 7, 0], [7, 7, 0, 7, 7, 0, 7, 7, 7, 0, 7, 7, 0, 7, 0], [0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 7, 7, 0, 0], [0, 0, 7, 0, 0, 7, 0, 0, 7, 7, 0, 7, 7, 7, 7], [7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 0, 0, 7, 0, 0], [7, 7, 7, 0, 0, 0, 7, 7, 0, 0, 7, 0, 0, 7, 7], [0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 7, 7, 0, 7, 0, 7, 7, 7, 7, 7, 0, 0, 0], [0, 9, 0, 0, 0, 9, 9, 9, 9, 0, 9, 0, 0, 9, 0], [9, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0, 0, 9, 9, 0], [9, 0, 9, 9, 9, 9, 0, 9, 9, 9, 9, 0, 9, 9, 9], [0, 9, 0, 0, 0, 9, 0, 9, 9, 0, 0, 0, 0, 9, 0], [9, 0, 0, 0, 9, 9, 0, 9, 9, 0, 0, 9, 0, 9, 9], [0, 0, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 9, 9, 0], [0, 9, 9, 0, 9, 0, 9, 9, 0, 0, 9, 9, 9, 0, 0], [0, 9, 0, 9, 9, 9, 0, 9, 9, 0, 0, 0, 0, 9, 0], [0, 0, 0, 0, 0, 9, 0, 0, 9, 9, 0, 9, 0, 0, 0], [9, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 9, 0], [0, 9, 9, 0, 9, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0], [0, 0, 9, 9, 0, 0, 9, 9, 0, 9, 0, 0, 9, 0, 9], [9, 0, 0, 9, 9, 0, 9, 0, 0, 9, 0, 0, 0, 0, 0], [9, 9, 0, 9, 9, 9, 0, 0, 9, 0, 0, 0, 9, 0, 0], [9, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0, 9, 0, 0, 9]] -> [[2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2], [0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2], [2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2], [0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0], [2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0], [2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0], [2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0], [0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2], [2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2], [2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2], [2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0], [2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [0, 9, 0, 0, 0, 9, 9, 9, 9, 0, 9, 0, 0, 9, 0], [9, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0, 0, 9, 9, 0], [9, 0, 9, 9, 9, 9, 0, 9, 9, 9, 9, 0, 9, 9, 9], [0, 9, 0, 0, 0, 9, 0, 9, 9, 0, 0, 0, 0, 9, 0], [9, 0, 0, 0, 9, 9, 0, 9, 9, 0, 0, 9, 0, 9, 9], [0, 0, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 9, 9, 0], [0, 9, 9, 0, 9, 0, 9, 9, 0, 0, 9, 9, 9, 0, 0], [0, 9, 0, 9, 9, 9, 0, 9, 9, 0, 0, 0, 0, 9, 0], [0, 0, 0, 0, 0, 9, 0, 0, 9, 9, 0, 9, 0, 0, 0], [9, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 9, 0], [0, 9, 9, 0, 9, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0], [0, 0, 9, 9, 0, 0, 9, 9, 0, 9, 0, 0, 9, 0, 9], [9, 0, 0, 9, 9, 0, 9, 0, 0, 9, 0, 0, 0, 0, 0], [9, 9, 0, 9, 9, 9, 0, 0, 9, 0, 0, 0, 9, 0, 0], [9, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0, 9, 0, 0, 9]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            7,
+                            7,
+                            7,
+                            7,
+                            7,
+                            7,
+                            7,
+                            7,
+                            7,
+                            7,
+                            7,
+                            7,
+                            7,
+                            7,
+                            7
+                        ],
+                        [
+                            7,
+                            7,
+                            7,
+                            7,
+                            7,
+                            7,
+                            7,
+                            7,
+                            7,
+                            7,
+                            7,
+                            7,
+                            7,
+                            7,
+                            7
+                        ],
+                        [
+                            7,
+                            7,
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+                    "output": [
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+            },
+            "Replicate 2": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[7, 7, 7, 0, 0, 7, 0, 0, 7, 7, 7, 0, 7, 7, 7], [0, 0, 0, 7, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 7, 0, 0, 7, 0], [7, 0, 7, 0, 0, 0, 0, 7, 7, 0, 7, 7, 7, 0, 7], [0, 0, 0, 0, 7, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0], [7, 0, 7, 0, 0, 0, 0, 7, 7, 7, 0, 7, 7, 0, 7], [0, 7, 7, 7, 7, 0, 7, 0, 0, 7, 7, 0, 0, 7, 0], [7, 0, 7, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 0, 7], [7, 7, 0, 0, 0, 7, 7, 0, 0, 7, 0, 0, 0, 0, 7], [7, 0, 7, 0, 0, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0], [7, 7, 7, 7, 0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 7], [7, 7, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7], [7, 0, 7, 0, 7, 7, 0, 0, 7, 7, 0, 0, 7, 7, 0], [0, 7, 7, 7, 7, 0, 0, 7, 7, 7, 7, 0, 0, 7, 0], [0, 0, 7, 0, 7, 7, 0, 7, 0, 7, 7, 7, 0, 7, 0], [9, 9, 9, 9, 0, 0, 9, 9, 9, 0, 0, 0, 0, 0, 0], [0, 9, 9, 9, 9, 9, 9, 9, 0, 9, 0, 0, 9, 0, 9], [9, 9, 9, 9, 0, 9, 9, 9, 0, 9, 0, 9, 0, 0, 9], [9, 0, 9, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0], [0, 9, 9, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0, 0, 9], [0, 0, 9, 9, 9, 0, 9, 9, 0, 9, 9, 9, 0, 9, 0], [0, 9, 0, 9, 9, 9, 0, 0, 0, 9, 9, 0, 0, 0, 9], [9, 9, 0, 0, 9, 0, 9, 9, 0, 9, 0, 0, 9, 0, 9], [9, 0, 9, 0, 9, 9, 9, 0, 0, 0, 9, 9, 9, 9, 9], [0, 0, 9, 9, 0, 0, 9, 9, 9, 0, 9, 9, 9, 0, 9], [9, 0, 0, 0, 0, 9, 9, 0, 0, 9, 0, 0, 9, 9, 9], [9, 0, 0, 9, 9, 9, 9, 9, 9, 9, 0, 0, 0, 0, 9], [9, 0, 0, 0, 0, 9, 0, 9, 9, 9, 9, 9, 0, 9, 0], [0, 9, 9, 0, 9, 0, 0, 9, 9, 9, 9, 9, 0, 9, 9], [0, 9, 0, 9, 9, 0, 0, 9, 0, 9, 9, 0, 9, 0, 0]] -> [[2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2], [0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2], [2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2], [2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2], [0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2], [2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2], [0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2], [2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2], [2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2], [2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2], [2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2], [2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0], [0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2], [0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [9, 9, 9, 9, 0, 0, 9, 9, 9, 0, 0, 0, 0, 0, 0], [0, 9, 9, 9, 9, 9, 9, 9, 0, 9, 0, 0, 9, 0, 9], [9, 9, 9, 9, 0, 9, 9, 9, 0, 9, 0, 9, 0, 0, 9], [9, 0, 9, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0], [0, 9, 9, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0, 0, 9], [0, 0, 9, 9, 9, 0, 9, 9, 0, 9, 9, 9, 0, 9, 0], [0, 9, 0, 9, 9, 9, 0, 0, 0, 9, 9, 0, 0, 0, 9], [9, 9, 0, 0, 9, 0, 9, 9, 0, 9, 0, 0, 9, 0, 9], [9, 0, 9, 0, 9, 9, 9, 0, 0, 0, 9, 9, 9, 9, 9], [0, 0, 9, 9, 0, 0, 9, 9, 9, 0, 9, 9, 9, 0, 9], [9, 0, 0, 0, 0, 9, 9, 0, 0, 9, 0, 0, 9, 9, 9], [9, 0, 0, 9, 9, 9, 9, 9, 9, 9, 0, 0, 0, 0, 9], [9, 0, 0, 0, 0, 9, 0, 9, 9, 9, 9, 9, 0, 9, 0], [0, 9, 9, 0, 9, 0, 0, 9, 9, 9, 9, 9, 0, 9, 9], [0, 9, 0, 9, 9, 0, 0, 9, 0, 9, 9, 0, 9, 0, 0]] -> [[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]]\nExample input-output arrays:\n[[7, 7, 0, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 0, 7], [0, 7, 7, 0, 0, 7, 7, 0, 7, 7, 7, 0, 0, 7, 0], [0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 0, 7], [0, 7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 0, 7, 0, 7], [0, 7, 7, 7, 0, 7, 0, 0, 0, 7, 7, 7, 0, 0, 0], [0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 7, 0, 7, 7, 0], [7, 7, 0, 0, 0, 7, 7, 0, 0, 0, 0, 7, 7, 0, 0], [7, 7, 7, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 7, 0], [7, 7, 0, 7, 7, 0, 7, 7, 7, 0, 7, 7, 0, 7, 0], [0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 7, 7, 0, 0], [0, 0, 7, 0, 0, 7, 0, 0, 7, 7, 0, 7, 7, 7, 7], [7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 0, 0, 7, 0, 0], [7, 7, 7, 0, 0, 0, 7, 7, 0, 0, 7, 0, 0, 7, 7], [0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 7, 7, 0, 7, 0, 7, 7, 7, 7, 7, 0, 0, 0], [0, 9, 0, 0, 0, 9, 9, 9, 9, 0, 9, 0, 0, 9, 0], [9, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0, 0, 9, 9, 0], [9, 0, 9, 9, 9, 9, 0, 9, 9, 9, 9, 0, 9, 9, 9], [0, 9, 0, 0, 0, 9, 0, 9, 9, 0, 0, 0, 0, 9, 0], [9, 0, 0, 0, 9, 9, 0, 9, 9, 0, 0, 9, 0, 9, 9], [0, 0, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 9, 9, 0], [0, 9, 9, 0, 9, 0, 9, 9, 0, 0, 9, 9, 9, 0, 0], [0, 9, 0, 9, 9, 9, 0, 9, 9, 0, 0, 0, 0, 9, 0], [0, 0, 0, 0, 0, 9, 0, 0, 9, 9, 0, 9, 0, 0, 0], [9, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 9, 0], [0, 9, 9, 0, 9, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0], [0, 0, 9, 9, 0, 0, 9, 9, 0, 9, 0, 0, 9, 0, 9], [9, 0, 0, 9, 9, 0, 9, 0, 0, 9, 0, 0, 0, 0, 0], [9, 9, 0, 9, 9, 9, 0, 0, 9, 0, 0, 0, 9, 0, 0], [9, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0, 9, 0, 0, 9]] -> [[2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2], [0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2], [2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2], [0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0], [2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0], [2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0], [2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0], [0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2], [2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2], [2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2], [2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0], [2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[6, 6, 0, 6, 6, 6, 6, 6, 0, 6, 6, 6, 6, 0, 6], [0, 6, 6, 0, 0, 6, 6, 0, 6, 6, 6, 0, 0, 6, 0], [0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 0, 0, 0, 6], [0, 6, 0, 6, 6, 6, 6, 6, 6, 0, 0, 0, 6, 0, 6], [0, 6, 6, 6, 0, 6, 0, 0, 0, 6, 6, 6, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 6, 0, 0, 6, 0, 6, 6, 0], [6, 6, 0, 0, 0, 6, 6, 0, 0, 0, 0, 6, 6, 0, 0], [6, 6, 6, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 6, 0], [6, 6, 0, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 6, 0], [0, 6, 0, 6, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 0], [0, 0, 6, 0, 0, 6, 0, 0, 6, 6, 0, 6, 6, 6, 6], [6, 0, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 6, 0, 0], [6, 6, 6, 0, 0, 0, 6, 6, 0, 0, 6, 0, 0, 6, 6], [0, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 6, 0, 6, 0, 6, 6, 6, 6, 6, 0, 0, 0], [0, 9, 0, 0, 0, 9, 9, 9, 9, 0, 9, 0, 0, 9, 0], [9, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0, 0, 9, 9, 0], [9, 0, 9, 9, 9, 9, 0, 9, 9, 9, 9, 0, 9, 9, 9], [0, 9, 0, 0, 0, 9, 0, 9, 9, 0, 0, 0, 0, 9, 0], [9, 0, 0, 0, 9, 9, 0, 9, 9, 0, 0, 9, 0, 9, 9], [0, 0, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 9, 9, 0], [0, 9, 9, 0, 9, 0, 9, 9, 0, 0, 9, 9, 9, 0, 0], [0, 9, 0, 9, 9, 9, 0, 9, 9, 0, 0, 0, 0, 9, 0], [0, 0, 0, 0, 0, 9, 0, 0, 9, 9, 0, 9, 0, 0, 0], [9, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 9, 0], [0, 9, 9, 0, 9, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0], [0, 0, 9, 9, 0, 0, 9, 9, 0, 9, 0, 0, 9, 0, 9], [9, 0, 0, 9, 9, 0, 9, 0, 0, 9, 0, 0, 0, 0, 0], [9, 9, 0, 9, 9, 9, 0, 0, 9, 0, 0, 0, 9, 0, 0], [9, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0, 9, 0, 0, 9]] -> ",
+                "test": {
+                    "input": [
+                        [
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+                            6,
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+                            6,
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+                        [
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+                        [
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+                            6,
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+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            6
+                        ],
+                        [
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+                            6,
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+                            6,
+                            6,
+                            6,
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+                            0,
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+                        [
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+                        [
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+                            0,
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                            0,
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+                        [
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+                        [
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+                        [
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+                            9,
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+                            9,
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                            9,
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+                        [
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+                        [
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+                        [
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+                            0,
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+                        [
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+                            9,
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+                            0,
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+                        [
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+                            0,
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+                        [
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+                            0,
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+                            0,
+                            0,
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+                        [
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+                            0,
+                            0,
+                            0,
+                            9,
+                            0,
+                            0,
+                            9
+                        ]
+                    ],
+                    "output": [
+                        [
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+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
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+                        [
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+                        [
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+                        [
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+                        [
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+                            2,
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+                        ],
+                        [
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+                        [
+                            2,
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+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
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+                            2,
+                            2,
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+                            0
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0
+                        ],
+                        [
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0
+                        ],
+                        [
+                            0,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2
+                        ]
+                    ]
+                }
+            },
+            "Replicate 3": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[7, 7, 7, 0, 0, 7, 0, 0, 7, 7, 7, 0, 7, 7, 7], [0, 0, 0, 7, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 7, 0, 0, 7, 0], [7, 0, 7, 0, 0, 0, 0, 7, 7, 0, 7, 7, 7, 0, 7], [0, 0, 0, 0, 7, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0], [7, 0, 7, 0, 0, 0, 0, 7, 7, 7, 0, 7, 7, 0, 7], [0, 7, 7, 7, 7, 0, 7, 0, 0, 7, 7, 0, 0, 7, 0], [7, 0, 7, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 0, 7], [7, 7, 0, 0, 0, 7, 7, 0, 0, 7, 0, 0, 0, 0, 7], [7, 0, 7, 0, 0, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0], [7, 7, 7, 7, 0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 7], [7, 7, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7], [7, 0, 7, 0, 7, 7, 0, 0, 7, 7, 0, 0, 7, 7, 0], [0, 7, 7, 7, 7, 0, 0, 7, 7, 7, 7, 0, 0, 7, 0], [0, 0, 7, 0, 7, 7, 0, 7, 0, 7, 7, 7, 0, 7, 0], [9, 9, 9, 9, 0, 0, 9, 9, 9, 0, 0, 0, 0, 0, 0], [0, 9, 9, 9, 9, 9, 9, 9, 0, 9, 0, 0, 9, 0, 9], [9, 9, 9, 9, 0, 9, 9, 9, 0, 9, 0, 9, 0, 0, 9], [9, 0, 9, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0], [0, 9, 9, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0, 0, 9], [0, 0, 9, 9, 9, 0, 9, 9, 0, 9, 9, 9, 0, 9, 0], [0, 9, 0, 9, 9, 9, 0, 0, 0, 9, 9, 0, 0, 0, 9], [9, 9, 0, 0, 9, 0, 9, 9, 0, 9, 0, 0, 9, 0, 9], [9, 0, 9, 0, 9, 9, 9, 0, 0, 0, 9, 9, 9, 9, 9], [0, 0, 9, 9, 0, 0, 9, 9, 9, 0, 9, 9, 9, 0, 9], [9, 0, 0, 0, 0, 9, 9, 0, 0, 9, 0, 0, 9, 9, 9], [9, 0, 0, 9, 9, 9, 9, 9, 9, 9, 0, 0, 0, 0, 9], [9, 0, 0, 0, 0, 9, 0, 9, 9, 9, 9, 9, 0, 9, 0], [0, 9, 9, 0, 9, 0, 0, 9, 9, 9, 9, 9, 0, 9, 9], [0, 9, 0, 9, 9, 0, 0, 9, 0, 9, 9, 0, 9, 0, 0]] -> [[2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2], [0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2], [2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2], [2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2], [0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2], [2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2], [0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2], [2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2], [2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2], [2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2], [2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2], [2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0], [0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2], [0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0]]\nExample input-output arrays:\n[[7, 7, 7, 0, 0, 7, 0, 0, 7, 7, 7, 0, 7, 7, 7], [0, 0, 0, 7, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 7, 0, 0, 7, 0], [7, 0, 7, 0, 0, 0, 0, 7, 7, 0, 7, 7, 7, 0, 7], [0, 0, 0, 0, 7, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0], [7, 0, 7, 0, 0, 0, 0, 7, 7, 7, 0, 7, 7, 0, 7], [0, 7, 7, 7, 7, 0, 7, 0, 0, 7, 7, 0, 0, 7, 0], [7, 0, 7, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 0, 7], [7, 7, 0, 0, 0, 7, 7, 0, 0, 7, 0, 0, 0, 0, 7], [7, 0, 7, 0, 0, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0], [7, 7, 7, 7, 0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 7], [7, 7, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7], [7, 0, 7, 0, 7, 7, 0, 0, 7, 7, 0, 0, 7, 7, 0], [0, 7, 7, 7, 7, 0, 0, 7, 7, 7, 7, 0, 0, 7, 0], [0, 0, 7, 0, 7, 7, 0, 7, 0, 7, 7, 7, 0, 7, 0], [9, 9, 9, 9, 0, 0, 9, 9, 9, 0, 0, 0, 0, 0, 0], [0, 9, 9, 9, 9, 9, 9, 9, 0, 9, 0, 0, 9, 0, 9], [9, 9, 9, 9, 0, 9, 9, 9, 0, 9, 0, 9, 0, 0, 9], [9, 0, 9, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0], [0, 9, 9, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0, 0, 9], [0, 0, 9, 9, 9, 0, 9, 9, 0, 9, 9, 9, 0, 9, 0], [0, 9, 0, 9, 9, 9, 0, 0, 0, 9, 9, 0, 0, 0, 9], [9, 9, 0, 0, 9, 0, 9, 9, 0, 9, 0, 0, 9, 0, 9], [9, 0, 9, 0, 9, 9, 9, 0, 0, 0, 9, 9, 9, 9, 9], [0, 0, 9, 9, 0, 0, 9, 9, 9, 0, 9, 9, 9, 0, 9], [9, 0, 0, 0, 0, 9, 9, 0, 0, 9, 0, 0, 9, 9, 9], [9, 0, 0, 9, 9, 9, 9, 9, 9, 9, 0, 0, 0, 0, 9], [9, 0, 0, 0, 0, 9, 0, 9, 9, 9, 9, 9, 0, 9, 0], [0, 9, 9, 0, 9, 0, 0, 9, 9, 9, 9, 9, 0, 9, 9], [0, 9, 0, 9, 9, 0, 0, 9, 0, 9, 9, 0, 9, 0, 0]] -> [[2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2], [0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2], [2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2], [2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2], [0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2], [2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2], [0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2], [2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2], [2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2], [2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2], [2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2], [2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0], [0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2], [0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[4, 4, 4, 0, 0, 4, 0, 0, 4, 4, 4, 0, 4, 4, 4], [0, 0, 0, 4, 4, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 4, 0, 0, 4, 4, 0, 0, 4, 0], [4, 0, 4, 0, 0, 0, 0, 4, 4, 0, 4, 4, 4, 0, 4], [0, 0, 0, 0, 4, 0, 4, 0, 4, 4, 0, 0, 0, 4, 0], [4, 0, 4, 0, 0, 0, 0, 4, 4, 4, 0, 4, 4, 0, 4], [0, 4, 4, 4, 4, 0, 4, 0, 0, 4, 4, 0, 0, 4, 0], [4, 0, 4, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 0, 4], [4, 4, 0, 0, 0, 4, 4, 0, 0, 4, 0, 0, 0, 0, 4], [4, 0, 4, 0, 0, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0], [4, 4, 4, 4, 0, 4, 4, 4, 0, 4, 0, 4, 0, 0, 4], [4, 4, 4, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 4], [4, 0, 4, 0, 4, 4, 0, 0, 4, 4, 0, 0, 4, 4, 0], [0, 4, 4, 4, 4, 0, 0, 4, 4, 4, 4, 0, 0, 4, 0], [0, 0, 4, 0, 4, 4, 0, 4, 0, 4, 4, 4, 0, 4, 0], [9, 9, 9, 9, 0, 0, 9, 9, 9, 0, 0, 0, 0, 0, 0], [0, 9, 9, 9, 9, 9, 9, 9, 0, 9, 0, 0, 9, 0, 9], [9, 9, 9, 9, 0, 9, 9, 9, 0, 9, 0, 9, 0, 0, 9], [9, 0, 9, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0], [0, 9, 9, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0, 0, 9], [0, 0, 9, 9, 9, 0, 9, 9, 0, 9, 9, 9, 0, 9, 0], [0, 9, 0, 9, 9, 9, 0, 0, 0, 9, 9, 0, 0, 0, 9], [9, 9, 0, 0, 9, 0, 9, 9, 0, 9, 0, 0, 9, 0, 9], [9, 0, 9, 0, 9, 9, 9, 0, 0, 0, 9, 9, 9, 9, 9], [0, 0, 9, 9, 0, 0, 9, 9, 9, 0, 9, 9, 9, 0, 9], [9, 0, 0, 0, 0, 9, 9, 0, 0, 9, 0, 0, 9, 9, 9], [9, 0, 0, 9, 9, 9, 9, 9, 9, 9, 0, 0, 0, 0, 9], [9, 0, 0, 0, 0, 9, 0, 9, 9, 9, 9, 9, 0, 9, 0], [0, 9, 9, 0, 9, 0, 0, 9, 9, 9, 9, 9, 0, 9, 9], [0, 9, 0, 9, 9, 0, 0, 9, 0, 9, 9, 0, 9, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            4,
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+                        ],
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+                        ],
+                        [
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+                        [
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+                        [
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+                        [
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+                            0,
+                            0,
+                            9,
+                            0,
+                            9,
+                            9,
+                            0,
+                            9,
+                            0,
+                            0
+                        ]
+                    ],
+                    "output": [
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2
+                        ],
+                        [
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
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+                            2
+                        ],
+                        [
+                            2,
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+                            2,
+                            2,
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+                            2,
+                            2,
+                            2,
+                            2,
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+                            2,
+                            2,
+                            2,
+                            0,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2
+                        ],
+                        [
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0
+                        ],
+                        [
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
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+                        ],
+                        [
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0
+                        ]
+                    ]
+                }
+            },
+            "Replicate 4": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[7, 7, 0, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 0, 7], [0, 7, 7, 0, 0, 7, 7, 0, 7, 7, 7, 0, 0, 7, 0], [0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 0, 7], [0, 7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 0, 7, 0, 7], [0, 7, 7, 7, 0, 7, 0, 0, 0, 7, 7, 7, 0, 0, 0], [0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 7, 0, 7, 7, 0], [7, 7, 0, 0, 0, 7, 7, 0, 0, 0, 0, 7, 7, 0, 0], [7, 7, 7, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 7, 0], [7, 7, 0, 7, 7, 0, 7, 7, 7, 0, 7, 7, 0, 7, 0], [0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 7, 7, 0, 0], [0, 0, 7, 0, 0, 7, 0, 0, 7, 7, 0, 7, 7, 7, 7], [7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 0, 0, 7, 0, 0], [7, 7, 7, 0, 0, 0, 7, 7, 0, 0, 7, 0, 0, 7, 7], [0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 7, 7, 0, 7, 0, 7, 7, 7, 7, 7, 0, 0, 0], [0, 9, 0, 0, 0, 9, 9, 9, 9, 0, 9, 0, 0, 9, 0], [9, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0, 0, 9, 9, 0], [9, 0, 9, 9, 9, 9, 0, 9, 9, 9, 9, 0, 9, 9, 9], [0, 9, 0, 0, 0, 9, 0, 9, 9, 0, 0, 0, 0, 9, 0], [9, 0, 0, 0, 9, 9, 0, 9, 9, 0, 0, 9, 0, 9, 9], [0, 0, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 9, 9, 0], [0, 9, 9, 0, 9, 0, 9, 9, 0, 0, 9, 9, 9, 0, 0], [0, 9, 0, 9, 9, 9, 0, 9, 9, 0, 0, 0, 0, 9, 0], [0, 0, 0, 0, 0, 9, 0, 0, 9, 9, 0, 9, 0, 0, 0], [9, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 9, 0], [0, 9, 9, 0, 9, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0], [0, 0, 9, 9, 0, 0, 9, 9, 0, 9, 0, 0, 9, 0, 9], [9, 0, 0, 9, 9, 0, 9, 0, 0, 9, 0, 0, 0, 0, 0], [9, 9, 0, 9, 9, 9, 0, 0, 9, 0, 0, 0, 9, 0, 0], [9, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0, 9, 0, 0, 9]] -> [[2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2], [0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2], [2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2], [0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0], [2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0], [2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0], [2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0], [0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2], [2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2], [2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2], [2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0], [2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[8, 8, 0, 8, 8, 8, 8, 8, 0, 8, 8, 8, 8, 0, 8], [0, 8, 8, 0, 0, 8, 8, 0, 8, 8, 8, 0, 0, 8, 0], [0, 8, 8, 8, 8, 8, 8, 8, 8, 0, 8, 0, 0, 0, 8], [0, 8, 0, 8, 8, 8, 8, 8, 8, 0, 0, 0, 8, 0, 8], [0, 8, 8, 8, 0, 8, 0, 0, 0, 8, 8, 8, 0, 0, 0], [0, 8, 8, 0, 0, 0, 0, 8, 0, 0, 8, 0, 8, 8, 0], [8, 8, 0, 0, 0, 8, 8, 0, 0, 0, 0, 8, 8, 0, 0], [8, 8, 8, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 8, 0], [8, 8, 0, 8, 8, 0, 8, 8, 8, 0, 8, 8, 0, 8, 0], [0, 8, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 8, 0, 0], [0, 0, 8, 0, 0, 8, 0, 0, 8, 8, 0, 8, 8, 8, 8], [8, 0, 8, 8, 8, 8, 8, 8, 0, 0, 0, 0, 8, 0, 0], [8, 8, 8, 0, 0, 0, 8, 8, 0, 0, 8, 0, 0, 8, 8], [0, 0, 8, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 8, 0, 8, 0, 8, 8, 8, 8, 8, 0, 0, 0], [0, 9, 0, 0, 0, 9, 9, 9, 9, 0, 9, 0, 0, 9, 0], [9, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0, 0, 9, 9, 0], [9, 0, 9, 9, 9, 9, 0, 9, 9, 9, 9, 0, 9, 9, 9], [0, 9, 0, 0, 0, 9, 0, 9, 9, 0, 0, 0, 0, 9, 0], [9, 0, 0, 0, 9, 9, 0, 9, 9, 0, 0, 9, 0, 9, 9], [0, 0, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 9, 9, 0], [0, 9, 9, 0, 9, 0, 9, 9, 0, 0, 9, 9, 9, 0, 0], [0, 9, 0, 9, 9, 9, 0, 9, 9, 0, 0, 0, 0, 9, 0], [0, 0, 0, 0, 0, 9, 0, 0, 9, 9, 0, 9, 0, 0, 0], [9, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 9, 0], [0, 9, 9, 0, 9, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0], [0, 0, 9, 9, 0, 0, 9, 9, 0, 9, 0, 0, 9, 0, 9], [9, 0, 0, 9, 9, 0, 9, 0, 0, 9, 0, 0, 0, 0, 0], [9, 9, 0, 9, 9, 9, 0, 0, 9, 0, 0, 0, 9, 0, 0], [9, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0, 9, 0, 0, 9]] -> [[2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2], [0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2], [2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2], [0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0], [2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0], [2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0], [2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0], [0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2], [2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2], [2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2], [2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0], [2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2]]\nExample input-output arrays:\n[[7, 0, 7, 0, 7, 7, 0, 0, 0, 0, 7, 7, 7, 7, 0], [7, 0, 7, 7, 7, 7, 0, 0, 7, 0, 0, 7, 0, 7, 7], [0, 0, 0, 0, 7, 7, 0, 7, 7, 0, 7, 0, 7, 0, 0], [0, 0, 0, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 7], [0, 0, 7, 7, 7, 7, 0, 0, 7, 0, 0, 7, 7, 7, 0], [7, 0, 0, 0, 7, 7, 0, 0, 7, 7, 7, 7, 0, 7, 7], [0, 7, 7, 7, 7, 0, 0, 7, 0, 0, 7, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0], [7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7], [0, 0, 0, 7, 7, 7, 0, 7, 0, 7, 7, 7, 0, 0, 7], [0, 7, 7, 0, 0, 0, 7, 7, 7, 0, 0, 0, 7, 0, 7], [7, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7], [7, 7, 7, 0, 0, 7, 7, 0, 7, 7, 0, 7, 0, 0, 0], [0, 7, 0, 0, 0, 7, 7, 0, 7, 0, 7, 7, 0, 7, 0], [0, 7, 7, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7], [9, 9, 9, 9, 9, 9, 0, 0, 0, 0, 9, 0, 0, 9, 9], [0, 0, 9, 9, 0, 0, 9, 9, 9, 0, 0, 9, 0, 0, 0], [9, 9, 9, 9, 0, 0, 0, 0, 9, 9, 9, 9, 0, 0, 9], [0, 0, 9, 9, 0, 9, 9, 0, 9, 0, 0, 9, 9, 9, 0], [9, 0, 0, 0, 0, 0, 0, 9, 9, 0, 9, 0, 0, 9, 9], [0, 9, 0, 9, 0, 9, 9, 0, 9, 0, 0, 9, 9, 9, 0], [0, 0, 0, 0, 9, 0, 9, 9, 0, 9, 9, 0, 9, 0, 9], [0, 9, 0, 9, 9, 9, 9, 0, 9, 9, 0, 9, 9, 9, 0], [0, 9, 9, 0, 0, 9, 9, 0, 9, 0, 9, 0, 0, 0, 0], [0, 9, 0, 9, 0, 9, 0, 0, 9, 0, 9, 0, 0, 0, 9], [9, 9, 0, 0, 0, 0, 9, 0, 9, 0, 0, 0, 0, 9, 9], [9, 9, 0, 9, 9, 9, 9, 0, 9, 9, 9, 9, 9, 0, 0], [0, 0, 0, 9, 0, 0, 9, 9, 9, 0, 0, 0, 0, 9, 0], [0, 0, 9, 9, 0, 9, 9, 9, 0, 0, 9, 0, 9, 9, 9], [9, 0, 0, 9, 9, 0, 0, 0, 9, 9, 0, 0, 9, 0, 0]] -> [[2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2], [2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2], [2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2], [0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2], [2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2], [0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2], [0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0], [2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2], [0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2], [2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2], [2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0], [0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [9, 9, 9, 9, 9, 9, 0, 0, 0, 0, 9, 0, 0, 9, 9], [0, 0, 9, 9, 0, 0, 9, 9, 9, 0, 0, 9, 0, 0, 0], [9, 9, 9, 9, 0, 0, 0, 0, 9, 9, 9, 9, 0, 0, 9], [0, 0, 9, 9, 0, 9, 9, 0, 9, 0, 0, 9, 9, 9, 0], [9, 0, 0, 0, 0, 0, 0, 9, 9, 0, 9, 0, 0, 9, 9], [0, 9, 0, 9, 0, 9, 9, 0, 9, 0, 0, 9, 9, 9, 0], [0, 0, 0, 0, 9, 0, 9, 9, 0, 9, 9, 0, 9, 0, 9], [0, 9, 0, 9, 9, 9, 9, 0, 9, 9, 0, 9, 9, 9, 0], [0, 9, 9, 0, 0, 9, 9, 0, 9, 0, 9, 0, 0, 0, 0], [0, 9, 0, 9, 0, 9, 0, 0, 9, 0, 9, 0, 0, 0, 9], [9, 9, 0, 0, 0, 0, 9, 0, 9, 0, 0, 0, 0, 9, 9], [9, 9, 0, 9, 9, 9, 9, 0, 9, 9, 9, 9, 9, 0, 0], [0, 0, 0, 9, 0, 0, 9, 9, 9, 0, 0, 0, 0, 9, 0], [0, 0, 9, 9, 0, 9, 9, 9, 0, 0, 9, 0, 9, 9, 9], [9, 0, 0, 9, 9, 0, 0, 0, 9, 9, 0, 0, 9, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
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+                            0,
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+                        ],
+                        [
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+                        ],
+                        [
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+                        ],
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+                        [
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+                        ],
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+                }
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+    },
+    "SCMdky5!or!20x20": {
+        "L1": {
+            "Replicate 0": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[4, 0, 4, 0, 0, 4, 4, 4, 0, 4, 4, 4, 0, 0, 0, 4, 0, 0, 0, 0], [4, 4, 0, 4, 4, 4, 4, 4, 4, 4, 0, 4, 0, 0, 0, 0, 4, 4, 4, 0], [4, 0, 4, 4, 4, 0, 4, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 4, 0, 4], [4, 0, 0, 4, 0, 0, 0, 0, 4, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4], [0, 4, 4, 0, 0, 4, 0, 4, 0, 4, 0, 0, 4, 4, 0, 0, 4, 0, 0, 4], [0, 0, 4, 0, 0, 4, 4, 4, 4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 4, 0], [0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 4, 0, 4, 0, 4], [0, 4, 4, 4, 0, 0, 0, 4, 0, 4, 0, 4, 4, 0, 4, 0, 4, 0, 4, 4], [4, 0, 4, 4, 0, 0, 0, 0, 4, 4, 0, 4, 4, 0, 0, 0, 0, 4, 0, 4], [0, 4, 0, 4, 0, 0, 0, 4, 0, 0, 4, 4, 4, 4, 0, 0, 0, 4, 0, 4], [4, 4, 4, 0, 4, 4, 4, 0, 4, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0, 4], [4, 4, 0, 4, 0, 0, 4, 0, 0, 4, 4, 4, 4, 0, 4, 0, 0, 4, 0, 4], [0, 0, 4, 0, 4, 4, 4, 4, 0, 4, 4, 4, 0, 0, 4, 0, 4, 0, 4, 0], [4, 0, 4, 0, 4, 4, 4, 4, 4, 4, 4, 0, 0, 4, 0, 0, 4, 4, 4, 4], [0, 0, 0, 4, 0, 4, 4, 0, 4, 0, 0, 0, 0, 0, 4, 4, 4, 0, 4, 4], [4, 4, 0, 0, 0, 4, 4, 4, 0, 4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 4], [0, 4, 0, 0, 0, 0, 4, 0, 4, 0, 4, 0, 4, 4, 4, 4, 0, 4, 0, 0], [4, 4, 0, 0, 4, 0, 4, 4, 4, 0, 0, 0, 4, 4, 0, 4, 0, 0, 0, 4], [4, 4, 4, 4, 0, 4, 4, 4, 4, 4, 4, 0, 0, 4, 0, 4, 4, 0, 4, 0], [0, 0, 0, 4, 0, 0, 0, 0, 0, 4, 4, 0, 4, 4, 4, 0, 4, 0, 0, 0], [2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0], [0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0], [0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2], [2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0], [2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2], [2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0], [0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0], [2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2], [0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0], [2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2], [0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2], [2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2], [2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2], [0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0], [2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0], [2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0], [0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0], [2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2], [2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2]] -> [[1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0], [1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0], [1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1], [1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0], [0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1], [1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1], [1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1], [1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1], [1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1], [1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1], [1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1], [0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0], [1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1], [1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1], [1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1]]\nExample input-output arrays:\n[[4, 0, 4, 0, 0, 4, 4, 4, 0, 4, 4, 4, 0, 0, 0, 4, 0, 0, 0, 0], [4, 4, 0, 4, 4, 4, 4, 4, 4, 4, 0, 4, 0, 0, 0, 0, 4, 4, 4, 0], [4, 0, 4, 4, 4, 0, 4, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 4, 0, 4], [4, 0, 0, 4, 0, 0, 0, 0, 4, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4], [0, 4, 4, 0, 0, 4, 0, 4, 0, 4, 0, 0, 4, 4, 0, 0, 4, 0, 0, 4], [0, 0, 4, 0, 0, 4, 4, 4, 4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 4, 0], [0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 4, 0, 4, 0, 4], [0, 4, 4, 4, 0, 0, 0, 4, 0, 4, 0, 4, 4, 0, 4, 0, 4, 0, 4, 4], [4, 0, 4, 4, 0, 0, 0, 0, 4, 4, 0, 4, 4, 0, 0, 0, 0, 4, 0, 4], [0, 4, 0, 4, 0, 0, 0, 4, 0, 0, 4, 4, 4, 4, 0, 0, 0, 4, 0, 4], [4, 4, 4, 0, 4, 4, 4, 0, 4, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0, 4], [4, 4, 0, 4, 0, 0, 4, 0, 0, 4, 4, 4, 4, 0, 4, 0, 0, 4, 0, 4], [0, 0, 4, 0, 4, 4, 4, 4, 0, 4, 4, 4, 0, 0, 4, 0, 4, 0, 4, 0], [4, 0, 4, 0, 4, 4, 4, 4, 4, 4, 4, 0, 0, 4, 0, 0, 4, 4, 4, 4], [0, 0, 0, 4, 0, 4, 4, 0, 4, 0, 0, 0, 0, 0, 4, 4, 4, 0, 4, 4], [4, 4, 0, 0, 0, 4, 4, 4, 0, 4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 4], [0, 4, 0, 0, 0, 0, 4, 0, 4, 0, 4, 0, 4, 4, 4, 4, 0, 4, 0, 0], [4, 4, 0, 0, 4, 0, 4, 4, 4, 0, 0, 0, 4, 4, 0, 4, 0, 0, 0, 4], [4, 4, 4, 4, 0, 4, 4, 4, 4, 4, 4, 0, 0, 4, 0, 4, 4, 0, 4, 0], [0, 0, 0, 4, 0, 0, 0, 0, 0, 4, 4, 0, 4, 4, 4, 0, 4, 0, 0, 0], [2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0], [0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0], [0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2], [2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0], [2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2], [2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0], [0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0], [2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2], [0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0], [2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2], [0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2], [2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2], [2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2], [0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0], [2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0], [2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0], [0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0], [2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2], [2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2]] -> [[1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0], [1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0], [1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1], [1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0], [0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1], [1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1], [1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1], [1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1], [1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1], [1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1], [1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1], [0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0], [1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1], [1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1], [1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1]]\nExample input-output arrays:\n[[4, 0, 0, 0, 4, 4, 0, 4, 0, 4, 4, 4, 4, 0, 0, 0, 4, 0, 0, 0], [4, 0, 4, 4, 4, 0, 0, 4, 4, 0, 4, 0, 0, 0, 4, 4, 0, 4, 0, 0], [0, 0, 0, 4, 0, 4, 4, 4, 0, 0, 4, 0, 4, 0, 4, 0, 0, 4, 0, 4], [4, 4, 0, 4, 4, 4, 0, 4, 0, 4, 0, 4, 0, 0, 0, 4, 4, 4, 4, 0], [0, 4, 0, 4, 4, 4, 0, 4, 0, 4, 4, 0, 4, 0, 0, 0, 0, 0, 4, 0], [4, 4, 4, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 4, 0, 0, 4, 4, 0], [0, 0, 4, 4, 0, 4, 0, 0, 0, 0, 0, 4, 0, 0, 4, 0, 4, 0, 0, 4], [4, 0, 4, 4, 0, 0, 4, 0, 4, 4, 0, 0, 0, 0, 4, 4, 0, 4, 4, 0], [4, 4, 0, 4, 4, 4, 0, 0, 4, 0, 4, 0, 4, 0, 4, 4, 4, 0, 0, 0], [4, 0, 0, 4, 0, 4, 0, 4, 0, 4, 0, 0, 4, 4, 0, 0, 4, 0, 0, 0], [0, 4, 0, 4, 0, 0, 4, 4, 0, 4, 4, 0, 0, 0, 4, 4, 4, 4, 4, 0], [4, 4, 4, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 4, 0, 4, 0], [0, 4, 4, 4, 0, 0, 4, 4, 0, 0, 4, 4, 4, 4, 4, 0, 4, 4, 4, 4], [4, 4, 0, 0, 0, 4, 0, 0, 0, 4, 4, 0, 4, 4, 4, 0, 0, 4, 0, 0], [4, 0, 0, 4, 0, 4, 0, 4, 0, 0, 4, 4, 4, 4, 0, 4, 0, 4, 4, 0], [0, 0, 0, 4, 4, 4, 4, 0, 4, 4, 4, 4, 4, 0, 4, 0, 0, 4, 0, 4], [0, 4, 4, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 0, 0, 4, 0, 0, 4, 4], [4, 0, 4, 0, 0, 4, 4, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 4, 4, 4], [4, 4, 4, 0, 0, 4, 4, 0, 4, 4, 4, 4, 0, 0, 0, 0, 4, 4, 4, 4], [4, 0, 4, 0, 0, 4, 0, 4, 4, 4, 4, 0, 0, 0, 0, 0, 4, 4, 0, 4], [0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2], [2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2], [0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0], [2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0], [2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2], [0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0], [0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2], [0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2], [2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0], [0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2], [0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2], [2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0], [0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2], [2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0], [2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0], [0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2], [0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0], [2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2]] -> [[1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1], [1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1], [0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1], [1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0], [1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0], [1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1], [0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1], [1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1], [1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1], [1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0], [0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0], [1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1], [0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1], [1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0], [1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1], [1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1], [1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1], [1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2], [2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2], [0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0], [2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0], [2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2], [0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0], [0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2], [0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2], [2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0], [0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2], [0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2], [2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0], [0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2], [2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0], [2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0], [0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2], [0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0], [2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2]] -> ",
+                "test": {
+                    "input": [
+                        [
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+                }
+            },
+            "Replicate 1": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 4, 0, 4, 0, 0, 4, 4, 0, 4, 4, 0, 0, 4, 4, 4, 0, 4, 4], [4, 4, 0, 4, 4, 4, 4, 0, 0, 4, 0, 0, 4, 0, 0, 0, 4, 4, 4, 4], [0, 4, 4, 4, 4, 4, 0, 4, 4, 0, 4, 0, 0, 0, 4, 4, 4, 4, 4, 4], [4, 0, 4, 4, 0, 4, 4, 4, 4, 0, 4, 4, 0, 4, 4, 0, 4, 0, 4, 4], [0, 0, 4, 0, 4, 4, 4, 4, 4, 4, 0, 4, 4, 0, 0, 4, 4, 4, 4, 4], [4, 0, 4, 4, 4, 4, 4, 0, 0, 4, 4, 0, 4, 0, 0, 0, 4, 4, 4, 4], [0, 4, 0, 0, 4, 4, 0, 4, 4, 0, 4, 4, 4, 4, 4, 0, 4, 0, 0, 0], [0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 4, 0, 0, 4, 4, 4, 4, 4, 0, 4], [4, 4, 0, 4, 0, 4, 0, 4, 4, 4, 0, 0, 4, 0, 0, 0, 0, 0, 4, 4], [4, 4, 4, 4, 4, 0, 4, 4, 4, 4, 0, 0, 0, 4, 4, 4, 0, 4, 0, 0], [0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 4, 0, 0, 0, 0, 4], [0, 0, 0, 4, 4, 0, 0, 0, 4, 0, 4, 0, 4, 4, 4, 4, 0, 4, 4, 0], [4, 0, 0, 0, 0, 0, 4, 4, 4, 0, 4, 0, 4, 4, 0, 0, 4, 4, 4, 4], [4, 4, 4, 4, 0, 0, 4, 4, 0, 4, 4, 0, 0, 4, 0, 4, 4, 0, 4, 4], [4, 0, 0, 4, 4, 0, 4, 4, 4, 0, 0, 0, 0, 0, 4, 4, 0, 4, 4, 4], [4, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 0, 0, 0, 0, 4, 4, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 0, 4, 4, 0, 0, 4, 0, 4, 4, 4, 0, 0], [0, 4, 4, 4, 4, 4, 0, 4, 4, 4, 4, 4, 0, 0, 0, 0, 4, 0, 0, 4], [0, 0, 0, 0, 0, 0, 4, 4, 0, 4, 0, 4, 0, 0, 0, 0, 4, 4, 0, 0], [0, 0, 0, 0, 4, 0, 0, 4, 0, 4, 0, 0, 4, 4, 0, 4, 4, 0, 0, 4], [0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2], [2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2], [0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0], [0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2], [0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0], [2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0], [2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0], [0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0], [2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2], [0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0], [2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2], [0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2], [0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0], [0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0], [2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0], [0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0], [2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0], [2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0], [2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2], [2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0]] -> [[0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1], [0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1], [0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1], [1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1], [1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0], [0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1], [1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0], [1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1], [0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1], [1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1], [1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1], [1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0], [1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1], [1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1], [1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1]]\nExample input-output arrays:\n[[4, 0, 4, 0, 0, 4, 4, 4, 0, 4, 4, 4, 0, 0, 0, 4, 0, 0, 0, 0], [4, 4, 0, 4, 4, 4, 4, 4, 4, 4, 0, 4, 0, 0, 0, 0, 4, 4, 4, 0], [4, 0, 4, 4, 4, 0, 4, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 4, 0, 4], [4, 0, 0, 4, 0, 0, 0, 0, 4, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4], [0, 4, 4, 0, 0, 4, 0, 4, 0, 4, 0, 0, 4, 4, 0, 0, 4, 0, 0, 4], [0, 0, 4, 0, 0, 4, 4, 4, 4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 4, 0], [0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 4, 0, 4, 0, 4], [0, 4, 4, 4, 0, 0, 0, 4, 0, 4, 0, 4, 4, 0, 4, 0, 4, 0, 4, 4], [4, 0, 4, 4, 0, 0, 0, 0, 4, 4, 0, 4, 4, 0, 0, 0, 0, 4, 0, 4], [0, 4, 0, 4, 0, 0, 0, 4, 0, 0, 4, 4, 4, 4, 0, 0, 0, 4, 0, 4], [4, 4, 4, 0, 4, 4, 4, 0, 4, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0, 4], [4, 4, 0, 4, 0, 0, 4, 0, 0, 4, 4, 4, 4, 0, 4, 0, 0, 4, 0, 4], [0, 0, 4, 0, 4, 4, 4, 4, 0, 4, 4, 4, 0, 0, 4, 0, 4, 0, 4, 0], [4, 0, 4, 0, 4, 4, 4, 4, 4, 4, 4, 0, 0, 4, 0, 0, 4, 4, 4, 4], [0, 0, 0, 4, 0, 4, 4, 0, 4, 0, 0, 0, 0, 0, 4, 4, 4, 0, 4, 4], [4, 4, 0, 0, 0, 4, 4, 4, 0, 4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 4], [0, 4, 0, 0, 0, 0, 4, 0, 4, 0, 4, 0, 4, 4, 4, 4, 0, 4, 0, 0], [4, 4, 0, 0, 4, 0, 4, 4, 4, 0, 0, 0, 4, 4, 0, 4, 0, 0, 0, 4], [4, 4, 4, 4, 0, 4, 4, 4, 4, 4, 4, 0, 0, 4, 0, 4, 4, 0, 4, 0], [0, 0, 0, 4, 0, 0, 0, 0, 0, 4, 4, 0, 4, 4, 4, 0, 4, 0, 0, 0], [2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0], [0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0], [0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2], [2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0], [2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2], [2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0], [0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0], [2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2], [0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0], [2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2], [0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2], [2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2], [2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2], [0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0], [2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0], [2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0], [0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0], [2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2], [2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2]] -> [[1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0], [1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0], [1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1], [1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0], [0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1], [1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1], [1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1], [1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1], [1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1], [1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1], [1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1], [0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0], [1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1], [1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1], [1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1]]\nExample input-output arrays:\n[[4, 0, 0, 0, 4, 4, 0, 4, 0, 4, 4, 4, 4, 0, 0, 0, 4, 0, 0, 0], [4, 0, 4, 4, 4, 0, 0, 4, 4, 0, 4, 0, 0, 0, 4, 4, 0, 4, 0, 0], [0, 0, 0, 4, 0, 4, 4, 4, 0, 0, 4, 0, 4, 0, 4, 0, 0, 4, 0, 4], [4, 4, 0, 4, 4, 4, 0, 4, 0, 4, 0, 4, 0, 0, 0, 4, 4, 4, 4, 0], [0, 4, 0, 4, 4, 4, 0, 4, 0, 4, 4, 0, 4, 0, 0, 0, 0, 0, 4, 0], [4, 4, 4, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 4, 0, 0, 4, 4, 0], [0, 0, 4, 4, 0, 4, 0, 0, 0, 0, 0, 4, 0, 0, 4, 0, 4, 0, 0, 4], [4, 0, 4, 4, 0, 0, 4, 0, 4, 4, 0, 0, 0, 0, 4, 4, 0, 4, 4, 0], [4, 4, 0, 4, 4, 4, 0, 0, 4, 0, 4, 0, 4, 0, 4, 4, 4, 0, 0, 0], [4, 0, 0, 4, 0, 4, 0, 4, 0, 4, 0, 0, 4, 4, 0, 0, 4, 0, 0, 0], [0, 4, 0, 4, 0, 0, 4, 4, 0, 4, 4, 0, 0, 0, 4, 4, 4, 4, 4, 0], [4, 4, 4, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 4, 0, 4, 0], [0, 4, 4, 4, 0, 0, 4, 4, 0, 0, 4, 4, 4, 4, 4, 0, 4, 4, 4, 4], [4, 4, 0, 0, 0, 4, 0, 0, 0, 4, 4, 0, 4, 4, 4, 0, 0, 4, 0, 0], [4, 0, 0, 4, 0, 4, 0, 4, 0, 0, 4, 4, 4, 4, 0, 4, 0, 4, 4, 0], [0, 0, 0, 4, 4, 4, 4, 0, 4, 4, 4, 4, 4, 0, 4, 0, 0, 4, 0, 4], [0, 4, 4, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 0, 0, 4, 0, 0, 4, 4], [4, 0, 4, 0, 0, 4, 4, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 4, 4, 4], [4, 4, 4, 0, 0, 4, 4, 0, 4, 4, 4, 4, 0, 0, 0, 0, 4, 4, 4, 4], [4, 0, 4, 0, 0, 4, 0, 4, 4, 4, 4, 0, 0, 0, 0, 0, 4, 4, 0, 4], [0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2], [2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2], [0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0], [2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0], [2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2], [0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0], [0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2], [0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2], [2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0], [0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2], [0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2], [2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0], [0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2], [2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0], [2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0], [0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2], [0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0], [2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2]] -> [[1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1], [1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1], [0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1], [1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0], [1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0], [1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1], [0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1], [1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1], [1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1], [1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0], [0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0], [1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1], [0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1], [1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0], [1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1], [1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1], [1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1], [1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 5, 5, 5, 0, 0, 0, 5, 0, 0, 0], [5, 0, 5, 5, 5, 0, 0, 5, 5, 0, 5, 0, 0, 0, 5, 5, 0, 5, 0, 0], [0, 0, 0, 5, 0, 5, 5, 5, 0, 0, 5, 0, 5, 0, 5, 0, 0, 5, 0, 5], [5, 5, 0, 5, 5, 5, 0, 5, 0, 5, 0, 5, 0, 0, 0, 5, 5, 5, 5, 0], [0, 5, 0, 5, 5, 5, 0, 5, 0, 5, 5, 0, 5, 0, 0, 0, 0, 0, 5, 0], [5, 5, 5, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 5, 0, 0, 5, 5, 0], [0, 0, 5, 5, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 5, 0, 5, 0, 0, 5], [5, 0, 5, 5, 0, 0, 5, 0, 5, 5, 0, 0, 0, 0, 5, 5, 0, 5, 5, 0], [5, 5, 0, 5, 5, 5, 0, 0, 5, 0, 5, 0, 5, 0, 5, 5, 5, 0, 0, 0], [5, 0, 0, 5, 0, 5, 0, 5, 0, 5, 0, 0, 5, 5, 0, 0, 5, 0, 0, 0], [0, 5, 0, 5, 0, 0, 5, 5, 0, 5, 5, 0, 0, 0, 5, 5, 5, 5, 5, 0], [5, 5, 5, 0, 0, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 5, 0, 5, 0], [0, 5, 5, 5, 0, 0, 5, 5, 0, 0, 5, 5, 5, 5, 5, 0, 5, 5, 5, 5], [5, 5, 0, 0, 0, 5, 0, 0, 0, 5, 5, 0, 5, 5, 5, 0, 0, 5, 0, 0], [5, 0, 0, 5, 0, 5, 0, 5, 0, 0, 5, 5, 5, 5, 0, 5, 0, 5, 5, 0], [0, 0, 0, 5, 5, 5, 5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 0, 5, 0, 5], [0, 5, 5, 5, 0, 5, 0, 5, 0, 5, 0, 5, 0, 0, 0, 5, 0, 0, 5, 5], [5, 0, 5, 0, 0, 5, 5, 0, 0, 5, 5, 0, 0, 0, 0, 5, 5, 5, 5, 5], [5, 5, 5, 0, 0, 5, 5, 0, 5, 5, 5, 5, 0, 0, 0, 0, 5, 5, 5, 5], [5, 0, 5, 0, 0, 5, 0, 5, 5, 5, 5, 0, 0, 0, 0, 0, 5, 5, 0, 5], [0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2], [2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2], [0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0], [2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0], [2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2], [0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0], [0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2], [0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2], [2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0], [0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2], [0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2], [2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0], [0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2], [2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0], [2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0], [0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2], [0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0], [2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2]] -> ",
+                "test": {
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+                    "output": [
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+                }
+            },
+            "Replicate 2": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[4, 0, 4, 0, 0, 4, 4, 4, 0, 4, 4, 4, 0, 0, 0, 4, 0, 0, 0, 0], [4, 4, 0, 4, 4, 4, 4, 4, 4, 4, 0, 4, 0, 0, 0, 0, 4, 4, 4, 0], [4, 0, 4, 4, 4, 0, 4, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 4, 0, 4], [4, 0, 0, 4, 0, 0, 0, 0, 4, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4], [0, 4, 4, 0, 0, 4, 0, 4, 0, 4, 0, 0, 4, 4, 0, 0, 4, 0, 0, 4], [0, 0, 4, 0, 0, 4, 4, 4, 4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 4, 0], [0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 4, 0, 4, 0, 4], [0, 4, 4, 4, 0, 0, 0, 4, 0, 4, 0, 4, 4, 0, 4, 0, 4, 0, 4, 4], [4, 0, 4, 4, 0, 0, 0, 0, 4, 4, 0, 4, 4, 0, 0, 0, 0, 4, 0, 4], [0, 4, 0, 4, 0, 0, 0, 4, 0, 0, 4, 4, 4, 4, 0, 0, 0, 4, 0, 4], [4, 4, 4, 0, 4, 4, 4, 0, 4, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0, 4], [4, 4, 0, 4, 0, 0, 4, 0, 0, 4, 4, 4, 4, 0, 4, 0, 0, 4, 0, 4], [0, 0, 4, 0, 4, 4, 4, 4, 0, 4, 4, 4, 0, 0, 4, 0, 4, 0, 4, 0], [4, 0, 4, 0, 4, 4, 4, 4, 4, 4, 4, 0, 0, 4, 0, 0, 4, 4, 4, 4], [0, 0, 0, 4, 0, 4, 4, 0, 4, 0, 0, 0, 0, 0, 4, 4, 4, 0, 4, 4], [4, 4, 0, 0, 0, 4, 4, 4, 0, 4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 4], [0, 4, 0, 0, 0, 0, 4, 0, 4, 0, 4, 0, 4, 4, 4, 4, 0, 4, 0, 0], [4, 4, 0, 0, 4, 0, 4, 4, 4, 0, 0, 0, 4, 4, 0, 4, 0, 0, 0, 4], [4, 4, 4, 4, 0, 4, 4, 4, 4, 4, 4, 0, 0, 4, 0, 4, 4, 0, 4, 0], [0, 0, 0, 4, 0, 0, 0, 0, 0, 4, 4, 0, 4, 4, 4, 0, 4, 0, 0, 0], [2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0], [0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0], [0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2], [2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0], [2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2], [2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0], [0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0], [2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2], [0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0], [2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2], [0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2], [2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2], [2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2], [0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0], [2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0], [2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0], [0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0], [2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2], [2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2]] -> [[1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0], [1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0], [1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1], [1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0], [0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1], [1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1], [1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1], [1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1], [1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1], [1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1], [1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1], [0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0], [1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1], [1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1], [1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1]]\nExample input-output arrays:\n[[0, 4, 4, 0, 4, 4, 0, 4, 0, 0, 0, 4, 4, 0, 0, 4, 0, 4, 4, 0], [4, 0, 4, 4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4], [0, 4, 0, 0, 4, 4, 4, 0, 0, 0, 4, 4, 4, 4, 0, 4, 0, 0, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 0, 4, 0, 0, 4, 4, 0], [4, 0, 4, 0, 4, 4, 0, 4, 0, 4, 4, 0, 4, 0, 4, 4, 0, 4, 0, 4], [0, 0, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 4, 0, 4, 4], [0, 4, 4, 0, 0, 0, 0, 4, 4, 0, 4, 0, 4, 4, 4, 4, 0, 4, 0, 0], [4, 0, 0, 4, 4, 0, 4, 4, 4, 0, 4, 4, 4, 0, 4, 4, 4, 4, 0, 4], [4, 4, 4, 4, 4, 0, 0, 0, 4, 4, 4, 0, 0, 4, 0, 4, 0, 0, 0, 0], [0, 0, 0, 4, 0, 4, 0, 4, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0], [4, 0, 0, 4, 0, 0, 0, 4, 4, 4, 0, 4, 4, 0, 4, 4, 4, 0, 0, 4], [0, 0, 0, 0, 0, 4, 0, 0, 4, 0, 4, 0, 4, 4, 4, 4, 0, 0, 4, 0], [0, 4, 4, 4, 4, 4, 0, 0, 4, 0, 0, 4, 0, 4, 0, 0, 4, 0, 4, 0], [0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 4, 4, 4, 0, 4], [4, 0, 4, 4, 0, 4, 0, 0, 4, 0, 4, 0, 4, 4, 4, 4, 4, 4, 0, 4], [0, 0, 4, 4, 4, 4, 0, 0, 4, 4, 0, 0, 4, 4, 4, 4, 4, 4, 0, 0], [4, 4, 0, 0, 4, 0, 4, 0, 0, 0, 4, 0, 0, 4, 4, 0, 0, 4, 4, 4], [0, 4, 0, 4, 0, 0, 0, 0, 4, 0, 4, 0, 4, 4, 0, 0, 0, 4, 4, 4], [4, 4, 4, 4, 4, 0, 0, 4, 0, 0, 0, 0, 4, 0, 4, 4, 0, 0, 0, 4], [4, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 0, 0, 0, 4, 0, 0, 0], [2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2], [2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2], [0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0], [0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2], [0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0], [2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2], [2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0], [2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2], [2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0], [2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0], [0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0], [0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0], [0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2], [0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0], [0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0], [2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2], [2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2], [0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2]] -> [[1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1], [1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1], [0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1], [1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1], [1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0], [1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0], [1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0], [1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1], [0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0], [0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0], [0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1], [0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0], [1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1], [1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1], [1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1], [1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1]]\nExample input-output arrays:\n[[0, 4, 4, 0, 4, 4, 0, 4, 0, 0, 0, 4, 4, 0, 0, 4, 0, 4, 4, 0], [4, 0, 4, 4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4], [0, 4, 0, 0, 4, 4, 4, 0, 0, 0, 4, 4, 4, 4, 0, 4, 0, 0, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 0, 4, 0, 0, 4, 4, 0], [4, 0, 4, 0, 4, 4, 0, 4, 0, 4, 4, 0, 4, 0, 4, 4, 0, 4, 0, 4], [0, 0, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 4, 0, 4, 4], [0, 4, 4, 0, 0, 0, 0, 4, 4, 0, 4, 0, 4, 4, 4, 4, 0, 4, 0, 0], [4, 0, 0, 4, 4, 0, 4, 4, 4, 0, 4, 4, 4, 0, 4, 4, 4, 4, 0, 4], [4, 4, 4, 4, 4, 0, 0, 0, 4, 4, 4, 0, 0, 4, 0, 4, 0, 0, 0, 0], [0, 0, 0, 4, 0, 4, 0, 4, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0], [4, 0, 0, 4, 0, 0, 0, 4, 4, 4, 0, 4, 4, 0, 4, 4, 4, 0, 0, 4], [0, 0, 0, 0, 0, 4, 0, 0, 4, 0, 4, 0, 4, 4, 4, 4, 0, 0, 4, 0], [0, 4, 4, 4, 4, 4, 0, 0, 4, 0, 0, 4, 0, 4, 0, 0, 4, 0, 4, 0], [0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 4, 4, 4, 0, 4], [4, 0, 4, 4, 0, 4, 0, 0, 4, 0, 4, 0, 4, 4, 4, 4, 4, 4, 0, 4], [0, 0, 4, 4, 4, 4, 0, 0, 4, 4, 0, 0, 4, 4, 4, 4, 4, 4, 0, 0], [4, 4, 0, 0, 4, 0, 4, 0, 0, 0, 4, 0, 0, 4, 4, 0, 0, 4, 4, 4], [0, 4, 0, 4, 0, 0, 0, 0, 4, 0, 4, 0, 4, 4, 0, 0, 0, 4, 4, 4], [4, 4, 4, 4, 4, 0, 0, 4, 0, 0, 0, 0, 4, 0, 4, 4, 0, 0, 0, 4], [4, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 0, 0, 0, 4, 0, 0, 0], [2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2], [2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2], [0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0], [0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2], [0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0], [2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2], [2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0], [2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2], [2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0], [2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0], [0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0], [0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0], [0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2], [0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0], [0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0], [2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2], [2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2], [0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2]] -> [[1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1], [1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1], [0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1], [1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1], [1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0], [1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0], [1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0], [1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1], [0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0], [0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0], [0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1], [0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0], [1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1], [1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1], [1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1], [1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1]]\nCounterfactual: Now imagine that we intervened on the previous input by changing the causal function for some elements.\n[[4, 0, 0, 4, 0, 0, 4, 0, 4, 4, 4, 0, 0, 4, 4, 0, 4, 0, 0, 4], [0, 4, 0, 0, 4, 4, 0, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0], [4, 0, 4, 4, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 4, 0, 4, 4, 0, 0], [4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 4, 0, 4, 4, 0, 0, 4], [0, 4, 0, 4, 0, 0, 4, 0, 4, 0, 0, 4, 0, 4, 0, 0, 4, 0, 4, 0], [4, 4, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 0, 4, 0, 0], [4, 0, 0, 4, 4, 4, 4, 0, 0, 4, 0, 4, 0, 0, 0, 0, 4, 0, 4, 4], [0, 4, 4, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 4, 0], [0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 4, 4, 0, 4, 0, 4, 4, 4, 4], [4, 4, 4, 0, 4, 0, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4], [0, 4, 4, 0, 4, 4, 4, 0, 0, 0, 4, 0, 0, 4, 0, 0, 0, 4, 4, 0], [4, 4, 4, 4, 4, 0, 4, 4, 0, 4, 0, 4, 0, 0, 0, 0, 4, 4, 0, 4], [4, 0, 0, 0, 0, 0, 4, 4, 0, 4, 4, 0, 4, 0, 4, 4, 0, 4, 0, 4], [4, 0, 4, 4, 4, 4, 4, 4, 4, 4, 0, 4, 4, 4, 4, 0, 0, 0, 4, 0], [0, 4, 0, 0, 4, 0, 4, 4, 0, 4, 0, 4, 0, 0, 0, 0, 0, 0, 4, 0], [4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 4, 4], [0, 0, 4, 4, 0, 4, 0, 4, 4, 4, 0, 4, 4, 0, 0, 4, 4, 0, 0, 0], [4, 0, 4, 0, 4, 4, 4, 4, 0, 4, 0, 4, 0, 0, 4, 4, 4, 0, 0, 0], [0, 0, 0, 0, 0, 4, 4, 0, 4, 4, 4, 4, 0, 4, 0, 0, 4, 4, 4, 0], [0, 0, 4, 4, 0, 4, 4, 0, 4, 4, 0, 4, 4, 4, 4, 4, 0, 4, 4, 4], [2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2], [2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2], [0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0], [0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2], [0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0], [2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2], [2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0], [2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2], [2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0], [2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0], [0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0], [0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0], [0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2], [0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0], [0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0], [2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2], [2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2], [0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2]] -> ",
+                "test": {
+                    "input": [
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+                    ]
+                }
+            },
+            "Replicate 3": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[4, 0, 4, 0, 0, 4, 4, 4, 0, 4, 4, 4, 0, 0, 0, 4, 0, 0, 0, 0], [4, 4, 0, 4, 4, 4, 4, 4, 4, 4, 0, 4, 0, 0, 0, 0, 4, 4, 4, 0], [4, 0, 4, 4, 4, 0, 4, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 4, 0, 4], [4, 0, 0, 4, 0, 0, 0, 0, 4, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4], [0, 4, 4, 0, 0, 4, 0, 4, 0, 4, 0, 0, 4, 4, 0, 0, 4, 0, 0, 4], [0, 0, 4, 0, 0, 4, 4, 4, 4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 4, 0], [0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 4, 0, 4, 0, 4], [0, 4, 4, 4, 0, 0, 0, 4, 0, 4, 0, 4, 4, 0, 4, 0, 4, 0, 4, 4], [4, 0, 4, 4, 0, 0, 0, 0, 4, 4, 0, 4, 4, 0, 0, 0, 0, 4, 0, 4], [0, 4, 0, 4, 0, 0, 0, 4, 0, 0, 4, 4, 4, 4, 0, 0, 0, 4, 0, 4], [4, 4, 4, 0, 4, 4, 4, 0, 4, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0, 4], [4, 4, 0, 4, 0, 0, 4, 0, 0, 4, 4, 4, 4, 0, 4, 0, 0, 4, 0, 4], [0, 0, 4, 0, 4, 4, 4, 4, 0, 4, 4, 4, 0, 0, 4, 0, 4, 0, 4, 0], [4, 0, 4, 0, 4, 4, 4, 4, 4, 4, 4, 0, 0, 4, 0, 0, 4, 4, 4, 4], [0, 0, 0, 4, 0, 4, 4, 0, 4, 0, 0, 0, 0, 0, 4, 4, 4, 0, 4, 4], [4, 4, 0, 0, 0, 4, 4, 4, 0, 4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 4], [0, 4, 0, 0, 0, 0, 4, 0, 4, 0, 4, 0, 4, 4, 4, 4, 0, 4, 0, 0], [4, 4, 0, 0, 4, 0, 4, 4, 4, 0, 0, 0, 4, 4, 0, 4, 0, 0, 0, 4], [4, 4, 4, 4, 0, 4, 4, 4, 4, 4, 4, 0, 0, 4, 0, 4, 4, 0, 4, 0], [0, 0, 0, 4, 0, 0, 0, 0, 0, 4, 4, 0, 4, 4, 4, 0, 4, 0, 0, 0], [2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0], [0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0], [0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2], [2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0], [2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2], [2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0], [0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0], [2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2], [0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0], [2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2], [0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2], [2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2], [2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2], [0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0], [2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0], [2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0], [0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0], [2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2], [2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2]] -> [[1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0], [1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0], [1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1], [1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0], [0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1], [1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1], [1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1], [1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1], [1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1], [1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1], [1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1], [0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0], [1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1], [1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1], [1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1]]\nExample input-output arrays:\n[[4, 0, 0, 0, 4, 4, 0, 4, 0, 4, 4, 4, 4, 0, 0, 0, 4, 0, 0, 0], [4, 0, 4, 4, 4, 0, 0, 4, 4, 0, 4, 0, 0, 0, 4, 4, 0, 4, 0, 0], [0, 0, 0, 4, 0, 4, 4, 4, 0, 0, 4, 0, 4, 0, 4, 0, 0, 4, 0, 4], [4, 4, 0, 4, 4, 4, 0, 4, 0, 4, 0, 4, 0, 0, 0, 4, 4, 4, 4, 0], [0, 4, 0, 4, 4, 4, 0, 4, 0, 4, 4, 0, 4, 0, 0, 0, 0, 0, 4, 0], [4, 4, 4, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 4, 0, 0, 4, 4, 0], [0, 0, 4, 4, 0, 4, 0, 0, 0, 0, 0, 4, 0, 0, 4, 0, 4, 0, 0, 4], [4, 0, 4, 4, 0, 0, 4, 0, 4, 4, 0, 0, 0, 0, 4, 4, 0, 4, 4, 0], [4, 4, 0, 4, 4, 4, 0, 0, 4, 0, 4, 0, 4, 0, 4, 4, 4, 0, 0, 0], [4, 0, 0, 4, 0, 4, 0, 4, 0, 4, 0, 0, 4, 4, 0, 0, 4, 0, 0, 0], [0, 4, 0, 4, 0, 0, 4, 4, 0, 4, 4, 0, 0, 0, 4, 4, 4, 4, 4, 0], [4, 4, 4, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 4, 0, 4, 0], [0, 4, 4, 4, 0, 0, 4, 4, 0, 0, 4, 4, 4, 4, 4, 0, 4, 4, 4, 4], [4, 4, 0, 0, 0, 4, 0, 0, 0, 4, 4, 0, 4, 4, 4, 0, 0, 4, 0, 0], [4, 0, 0, 4, 0, 4, 0, 4, 0, 0, 4, 4, 4, 4, 0, 4, 0, 4, 4, 0], [0, 0, 0, 4, 4, 4, 4, 0, 4, 4, 4, 4, 4, 0, 4, 0, 0, 4, 0, 4], [0, 4, 4, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 0, 0, 4, 0, 0, 4, 4], [4, 0, 4, 0, 0, 4, 4, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 4, 4, 4], [4, 4, 4, 0, 0, 4, 4, 0, 4, 4, 4, 4, 0, 0, 0, 0, 4, 4, 4, 4], [4, 0, 4, 0, 0, 4, 0, 4, 4, 4, 4, 0, 0, 0, 0, 0, 4, 4, 0, 4], [0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2], [2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2], [0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0], [2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0], [2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2], [0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0], [0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2], [0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2], [2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0], [0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2], [0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2], [2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0], [0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2], [2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0], [2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0], [0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2], [0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0], [2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2]] -> [[1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1], [1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1], [0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1], [1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0], [1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0], [1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1], [0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1], [1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1], [1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1], [1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0], [0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0], [1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1], [0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1], [1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0], [1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1], [1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1], [1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1], [1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1]]\nExample input-output arrays:\n[[0, 0, 4, 0, 4, 0, 0, 4, 4, 0, 4, 4, 0, 0, 4, 4, 4, 0, 4, 4], [4, 4, 0, 4, 4, 4, 4, 0, 0, 4, 0, 0, 4, 0, 0, 0, 4, 4, 4, 4], [0, 4, 4, 4, 4, 4, 0, 4, 4, 0, 4, 0, 0, 0, 4, 4, 4, 4, 4, 4], [4, 0, 4, 4, 0, 4, 4, 4, 4, 0, 4, 4, 0, 4, 4, 0, 4, 0, 4, 4], [0, 0, 4, 0, 4, 4, 4, 4, 4, 4, 0, 4, 4, 0, 0, 4, 4, 4, 4, 4], [4, 0, 4, 4, 4, 4, 4, 0, 0, 4, 4, 0, 4, 0, 0, 0, 4, 4, 4, 4], [0, 4, 0, 0, 4, 4, 0, 4, 4, 0, 4, 4, 4, 4, 4, 0, 4, 0, 0, 0], [0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 4, 0, 0, 4, 4, 4, 4, 4, 0, 4], [4, 4, 0, 4, 0, 4, 0, 4, 4, 4, 0, 0, 4, 0, 0, 0, 0, 0, 4, 4], [4, 4, 4, 4, 4, 0, 4, 4, 4, 4, 0, 0, 0, 4, 4, 4, 0, 4, 0, 0], [0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 4, 0, 0, 0, 0, 4], [0, 0, 0, 4, 4, 0, 0, 0, 4, 0, 4, 0, 4, 4, 4, 4, 0, 4, 4, 0], [4, 0, 0, 0, 0, 0, 4, 4, 4, 0, 4, 0, 4, 4, 0, 0, 4, 4, 4, 4], [4, 4, 4, 4, 0, 0, 4, 4, 0, 4, 4, 0, 0, 4, 0, 4, 4, 0, 4, 4], [4, 0, 0, 4, 4, 0, 4, 4, 4, 0, 0, 0, 0, 0, 4, 4, 0, 4, 4, 4], [4, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 0, 0, 0, 0, 4, 4, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 0, 4, 4, 0, 0, 4, 0, 4, 4, 4, 0, 0], [0, 4, 4, 4, 4, 4, 0, 4, 4, 4, 4, 4, 0, 0, 0, 0, 4, 0, 0, 4], [0, 0, 0, 0, 0, 0, 4, 4, 0, 4, 0, 4, 0, 0, 0, 0, 4, 4, 0, 0], [0, 0, 0, 0, 4, 0, 0, 4, 0, 4, 0, 0, 4, 4, 0, 4, 4, 0, 0, 4], [0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2], [2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2], [0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0], [0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2], [0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0], [2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0], [2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0], [0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0], [2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2], [0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0], [2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2], [0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2], [0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0], [0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0], [2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0], [0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0], [2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0], [2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0], [2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2], [2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0]] -> [[0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1], [0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1], [0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1], [1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1], [1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0], [0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1], [1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0], [1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1], [0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1], [1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1], [1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1], [1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0], [1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1], [1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1], [1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1]]\nCounterfactual: Now imagine that we intervened on the previous input by changing the causal function for some elements.\n[[4, 4, 0, 4, 0, 4, 4, 0, 0, 4, 0, 0, 4, 4, 0, 0, 0, 4, 0, 0], [0, 0, 4, 0, 0, 0, 0, 4, 4, 0, 4, 4, 0, 4, 4, 4, 0, 0, 0, 0], [4, 0, 0, 0, 0, 0, 4, 0, 0, 4, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0], [0, 4, 0, 0, 4, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 4, 0, 0], [4, 4, 0, 4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 4, 4, 0, 0, 0, 0, 0], [0, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 4, 0, 4, 4, 4, 0, 0, 0, 0], [4, 0, 4, 4, 0, 0, 4, 0, 0, 4, 0, 0, 0, 0, 0, 4, 0, 4, 4, 4], [4, 0, 4, 4, 4, 0, 4, 4, 4, 4, 0, 4, 4, 0, 0, 0, 0, 0, 4, 0], [0, 0, 4, 0, 4, 0, 4, 0, 0, 0, 4, 4, 0, 4, 4, 4, 4, 4, 0, 0], [0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 4, 0, 4, 4], [4, 4, 0, 0, 0, 4, 4, 4, 4, 4, 0, 0, 4, 4, 0, 4, 4, 4, 4, 0], [4, 4, 4, 0, 0, 4, 4, 4, 0, 4, 0, 4, 0, 0, 0, 0, 4, 0, 0, 4], [0, 4, 4, 4, 4, 4, 0, 0, 0, 4, 0, 4, 0, 0, 4, 4, 0, 0, 0, 0], [0, 0, 0, 0, 4, 4, 0, 0, 4, 0, 0, 4, 4, 0, 4, 0, 0, 4, 0, 0], [0, 4, 4, 0, 0, 4, 0, 0, 0, 4, 4, 4, 4, 4, 0, 0, 4, 0, 0, 0], [0, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 4, 4, 4, 4, 0, 0, 0, 4, 4], [4, 4, 4, 4, 4, 4, 4, 0, 4, 0, 0, 4, 4, 0, 4, 0, 0, 0, 4, 4], [4, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 4, 4, 4, 4, 0, 4, 4, 0], [4, 4, 4, 4, 4, 4, 0, 0, 4, 0, 4, 0, 4, 4, 4, 4, 0, 0, 4, 4], [4, 4, 4, 4, 0, 4, 4, 0, 4, 0, 4, 4, 0, 0, 4, 0, 0, 4, 4, 0], [0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2], [2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2], [0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0], [0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2], [0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0], [2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0], [2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0], [0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0], [2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2], [0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0], [2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2], [0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2], [0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0], [0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0], [2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0], [0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0], [2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0], [2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0], [2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2], [2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0]] -> ",
+                "test": {
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+            },
+            "Replicate 4": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 4, 0, 4, 0, 0, 4, 4, 0, 4, 4, 0, 0, 4, 4, 4, 0, 4, 4], [4, 4, 0, 4, 4, 4, 4, 0, 0, 4, 0, 0, 4, 0, 0, 0, 4, 4, 4, 4], [0, 4, 4, 4, 4, 4, 0, 4, 4, 0, 4, 0, 0, 0, 4, 4, 4, 4, 4, 4], [4, 0, 4, 4, 0, 4, 4, 4, 4, 0, 4, 4, 0, 4, 4, 0, 4, 0, 4, 4], [0, 0, 4, 0, 4, 4, 4, 4, 4, 4, 0, 4, 4, 0, 0, 4, 4, 4, 4, 4], [4, 0, 4, 4, 4, 4, 4, 0, 0, 4, 4, 0, 4, 0, 0, 0, 4, 4, 4, 4], [0, 4, 0, 0, 4, 4, 0, 4, 4, 0, 4, 4, 4, 4, 4, 0, 4, 0, 0, 0], [0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 4, 0, 0, 4, 4, 4, 4, 4, 0, 4], [4, 4, 0, 4, 0, 4, 0, 4, 4, 4, 0, 0, 4, 0, 0, 0, 0, 0, 4, 4], [4, 4, 4, 4, 4, 0, 4, 4, 4, 4, 0, 0, 0, 4, 4, 4, 0, 4, 0, 0], [0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 4, 0, 0, 0, 0, 4], [0, 0, 0, 4, 4, 0, 0, 0, 4, 0, 4, 0, 4, 4, 4, 4, 0, 4, 4, 0], [4, 0, 0, 0, 0, 0, 4, 4, 4, 0, 4, 0, 4, 4, 0, 0, 4, 4, 4, 4], [4, 4, 4, 4, 0, 0, 4, 4, 0, 4, 4, 0, 0, 4, 0, 4, 4, 0, 4, 4], [4, 0, 0, 4, 4, 0, 4, 4, 4, 0, 0, 0, 0, 0, 4, 4, 0, 4, 4, 4], [4, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 0, 0, 0, 0, 4, 4, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 0, 4, 4, 0, 0, 4, 0, 4, 4, 4, 0, 0], [0, 4, 4, 4, 4, 4, 0, 4, 4, 4, 4, 4, 0, 0, 0, 0, 4, 0, 0, 4], [0, 0, 0, 0, 0, 0, 4, 4, 0, 4, 0, 4, 0, 0, 0, 0, 4, 4, 0, 0], [0, 0, 0, 0, 4, 0, 0, 4, 0, 4, 0, 0, 4, 4, 0, 4, 4, 0, 0, 4], [0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2], [2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2], [0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0], [0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2], [0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0], [2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0], [2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0], [0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0], [2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2], [0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0], [2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2], [0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2], [0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0], [0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0], [2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0], [0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0], [2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0], [2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0], [2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2], [2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0]] -> [[0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1], [0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1], [0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1], [1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1], [1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0], [0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1], [1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0], [1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1], [0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1], [1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1], [1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1], [1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0], [1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1], [1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1], [1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1]]\nExample input-output arrays:\n[[4, 0, 4, 0, 0, 4, 4, 4, 0, 4, 4, 4, 0, 0, 0, 4, 0, 0, 0, 0], [4, 4, 0, 4, 4, 4, 4, 4, 4, 4, 0, 4, 0, 0, 0, 0, 4, 4, 4, 0], [4, 0, 4, 4, 4, 0, 4, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 4, 0, 4], [4, 0, 0, 4, 0, 0, 0, 0, 4, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4], [0, 4, 4, 0, 0, 4, 0, 4, 0, 4, 0, 0, 4, 4, 0, 0, 4, 0, 0, 4], [0, 0, 4, 0, 0, 4, 4, 4, 4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 4, 0], [0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 4, 0, 4, 0, 4], [0, 4, 4, 4, 0, 0, 0, 4, 0, 4, 0, 4, 4, 0, 4, 0, 4, 0, 4, 4], [4, 0, 4, 4, 0, 0, 0, 0, 4, 4, 0, 4, 4, 0, 0, 0, 0, 4, 0, 4], [0, 4, 0, 4, 0, 0, 0, 4, 0, 0, 4, 4, 4, 4, 0, 0, 0, 4, 0, 4], [4, 4, 4, 0, 4, 4, 4, 0, 4, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0, 4], [4, 4, 0, 4, 0, 0, 4, 0, 0, 4, 4, 4, 4, 0, 4, 0, 0, 4, 0, 4], [0, 0, 4, 0, 4, 4, 4, 4, 0, 4, 4, 4, 0, 0, 4, 0, 4, 0, 4, 0], [4, 0, 4, 0, 4, 4, 4, 4, 4, 4, 4, 0, 0, 4, 0, 0, 4, 4, 4, 4], [0, 0, 0, 4, 0, 4, 4, 0, 4, 0, 0, 0, 0, 0, 4, 4, 4, 0, 4, 4], [4, 4, 0, 0, 0, 4, 4, 4, 0, 4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 4], [0, 4, 0, 0, 0, 0, 4, 0, 4, 0, 4, 0, 4, 4, 4, 4, 0, 4, 0, 0], [4, 4, 0, 0, 4, 0, 4, 4, 4, 0, 0, 0, 4, 4, 0, 4, 0, 0, 0, 4], [4, 4, 4, 4, 0, 4, 4, 4, 4, 4, 4, 0, 0, 4, 0, 4, 4, 0, 4, 0], [0, 0, 0, 4, 0, 0, 0, 0, 0, 4, 4, 0, 4, 4, 4, 0, 4, 0, 0, 0], [2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0], [0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0], [0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2], [2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0], [2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2], [2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0], [0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0], [2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2], [0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0], [2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2], [0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2], [2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2], [2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2], [0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0], [2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0], [2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0], [0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0], [2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2], [2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2]] -> [[1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0], [1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0], [1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1], [1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0], [0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1], [1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1], [1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1], [1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1], [1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1], [1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1], [1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1], [0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0], [1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1], [1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1], [1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1]]\nExample input-output arrays:\n[[0, 0, 4, 0, 4, 0, 0, 4, 4, 0, 4, 4, 0, 0, 4, 4, 4, 0, 4, 4], [4, 4, 0, 4, 4, 4, 4, 0, 0, 4, 0, 0, 4, 0, 0, 0, 4, 4, 4, 4], [0, 4, 4, 4, 4, 4, 0, 4, 4, 0, 4, 0, 0, 0, 4, 4, 4, 4, 4, 4], [4, 0, 4, 4, 0, 4, 4, 4, 4, 0, 4, 4, 0, 4, 4, 0, 4, 0, 4, 4], [0, 0, 4, 0, 4, 4, 4, 4, 4, 4, 0, 4, 4, 0, 0, 4, 4, 4, 4, 4], [4, 0, 4, 4, 4, 4, 4, 0, 0, 4, 4, 0, 4, 0, 0, 0, 4, 4, 4, 4], [0, 4, 0, 0, 4, 4, 0, 4, 4, 0, 4, 4, 4, 4, 4, 0, 4, 0, 0, 0], [0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 4, 0, 0, 4, 4, 4, 4, 4, 0, 4], [4, 4, 0, 4, 0, 4, 0, 4, 4, 4, 0, 0, 4, 0, 0, 0, 0, 0, 4, 4], [4, 4, 4, 4, 4, 0, 4, 4, 4, 4, 0, 0, 0, 4, 4, 4, 0, 4, 0, 0], [0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 4, 0, 0, 0, 0, 4], [0, 0, 0, 4, 4, 0, 0, 0, 4, 0, 4, 0, 4, 4, 4, 4, 0, 4, 4, 0], [4, 0, 0, 0, 0, 0, 4, 4, 4, 0, 4, 0, 4, 4, 0, 0, 4, 4, 4, 4], [4, 4, 4, 4, 0, 0, 4, 4, 0, 4, 4, 0, 0, 4, 0, 4, 4, 0, 4, 4], [4, 0, 0, 4, 4, 0, 4, 4, 4, 0, 0, 0, 0, 0, 4, 4, 0, 4, 4, 4], [4, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 0, 0, 0, 0, 4, 4, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 0, 4, 4, 0, 0, 4, 0, 4, 4, 4, 0, 0], [0, 4, 4, 4, 4, 4, 0, 4, 4, 4, 4, 4, 0, 0, 0, 0, 4, 0, 0, 4], [0, 0, 0, 0, 0, 0, 4, 4, 0, 4, 0, 4, 0, 0, 0, 0, 4, 4, 0, 0], [0, 0, 0, 0, 4, 0, 0, 4, 0, 4, 0, 0, 4, 4, 0, 4, 4, 0, 0, 4], [0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2], [2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2], [0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0], [0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2], [0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0], [2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0], [2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0], [0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0], [2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2], [0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0], [2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2], [0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2], [0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0], [0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0], [2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0], [0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0], [2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0], [2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0], [2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2], [2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0]] -> [[0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1], [0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1], [0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1], [1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1], [1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0], [0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1], [1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0], [1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1], [0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1], [1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1], [1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1], [1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0], [1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1], [1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1], [1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1]]\nCounterfactual: Now imagine that we intervened on the previous input by changing the causal function for some elements.\n[[4, 4, 0, 4, 0, 4, 4, 0, 0, 4, 0, 0, 4, 4, 0, 0, 0, 4, 0, 0], [0, 0, 4, 0, 0, 0, 0, 4, 4, 0, 4, 4, 0, 4, 4, 4, 0, 0, 0, 0], [4, 0, 0, 0, 0, 0, 4, 0, 0, 4, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0], [0, 4, 0, 0, 4, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 4, 0, 0], [4, 4, 0, 4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 4, 4, 0, 0, 0, 0, 0], [0, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 4, 0, 4, 4, 4, 0, 0, 0, 0], [4, 0, 4, 4, 0, 0, 4, 0, 0, 4, 0, 0, 0, 0, 0, 4, 0, 4, 4, 4], [4, 0, 4, 4, 4, 0, 4, 4, 4, 4, 0, 4, 4, 0, 0, 0, 0, 0, 4, 0], [0, 0, 4, 0, 4, 0, 4, 0, 0, 0, 4, 4, 0, 4, 4, 4, 4, 4, 0, 0], [0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 4, 0, 4, 4], [4, 4, 0, 0, 0, 4, 4, 4, 4, 4, 0, 0, 4, 4, 0, 4, 4, 4, 4, 0], [4, 4, 4, 0, 0, 4, 4, 4, 0, 4, 0, 4, 0, 0, 0, 0, 4, 0, 0, 4], [0, 4, 4, 4, 4, 4, 0, 0, 0, 4, 0, 4, 0, 0, 4, 4, 0, 0, 0, 0], [0, 0, 0, 0, 4, 4, 0, 0, 4, 0, 0, 4, 4, 0, 4, 0, 0, 4, 0, 0], [0, 4, 4, 0, 0, 4, 0, 0, 0, 4, 4, 4, 4, 4, 0, 0, 4, 0, 0, 0], [0, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 4, 4, 4, 4, 0, 0, 0, 4, 4], [4, 4, 4, 4, 4, 4, 4, 0, 4, 0, 0, 4, 4, 0, 4, 0, 0, 0, 4, 4], [4, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 4, 4, 4, 4, 0, 4, 4, 0], [4, 4, 4, 4, 4, 4, 0, 0, 4, 0, 4, 0, 4, 4, 4, 4, 0, 0, 4, 4], [4, 4, 4, 4, 0, 4, 4, 0, 4, 0, 4, 4, 0, 0, 4, 0, 0, 4, 4, 0], [0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2], [2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2], [0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0], [0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2], [0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0], [2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0], [2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0], [0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0], [2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2], [0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0], [2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2], [0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2], [0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0], [0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0], [2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0], [0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0], [2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0], [2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0], [2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2], [2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0]] -> ",
+                "test": {
+                    "input": [
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+                }
+            }
+        },
+        "L3": {
+            "Replicate 0": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 4, 0, 4, 0, 0, 4, 4, 0, 4, 4, 0, 0, 4, 4, 4, 0, 4, 4], [4, 4, 0, 4, 4, 4, 4, 0, 0, 4, 0, 0, 4, 0, 0, 0, 4, 4, 4, 4], [0, 4, 4, 4, 4, 4, 0, 4, 4, 0, 4, 0, 0, 0, 4, 4, 4, 4, 4, 4], [4, 0, 4, 4, 0, 4, 4, 4, 4, 0, 4, 4, 0, 4, 4, 0, 4, 0, 4, 4], [0, 0, 4, 0, 4, 4, 4, 4, 4, 4, 0, 4, 4, 0, 0, 4, 4, 4, 4, 4], [4, 0, 4, 4, 4, 4, 4, 0, 0, 4, 4, 0, 4, 0, 0, 0, 4, 4, 4, 4], [0, 4, 0, 0, 4, 4, 0, 4, 4, 0, 4, 4, 4, 4, 4, 0, 4, 0, 0, 0], [0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 4, 0, 0, 4, 4, 4, 4, 4, 0, 4], [4, 4, 0, 4, 0, 4, 0, 4, 4, 4, 0, 0, 4, 0, 0, 0, 0, 0, 4, 4], [4, 4, 4, 4, 4, 0, 4, 4, 4, 4, 0, 0, 0, 4, 4, 4, 0, 4, 0, 0], [0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 4, 0, 0, 0, 0, 4], [0, 0, 0, 4, 4, 0, 0, 0, 4, 0, 4, 0, 4, 4, 4, 4, 0, 4, 4, 0], [4, 0, 0, 0, 0, 0, 4, 4, 4, 0, 4, 0, 4, 4, 0, 0, 4, 4, 4, 4], [4, 4, 4, 4, 0, 0, 4, 4, 0, 4, 4, 0, 0, 4, 0, 4, 4, 0, 4, 4], [4, 0, 0, 4, 4, 0, 4, 4, 4, 0, 0, 0, 0, 0, 4, 4, 0, 4, 4, 4], [4, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 0, 0, 0, 0, 4, 4, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 0, 4, 4, 0, 0, 4, 0, 4, 4, 4, 0, 0], [0, 4, 4, 4, 4, 4, 0, 4, 4, 4, 4, 4, 0, 0, 0, 0, 4, 0, 0, 4], [0, 0, 0, 0, 0, 0, 4, 4, 0, 4, 0, 4, 0, 0, 0, 0, 4, 4, 0, 0], [0, 0, 0, 0, 4, 0, 0, 4, 0, 4, 0, 0, 4, 4, 0, 4, 4, 0, 0, 4], [0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2], [2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2], [0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0], [0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2], [0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0], [2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0], [2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0], [0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0], [2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2], [0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0], [2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2], [0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2], [0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0], [0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0], [2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0], [0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0], [2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0], [2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0], [2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2], [2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0]] -> [[0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1], [0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1], [0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1], [1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1], [1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0], [0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1], [1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0], [1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1], [0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1], [1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1], [1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1], [1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0], [1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1], [1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1], [1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 0, 6, 0, 6, 0, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 6, 0, 6, 6], [6, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 0, 6, 0, 0, 0, 6, 6, 6, 6], [0, 6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 0, 0, 0, 6, 6, 6, 6, 6, 6], [6, 0, 6, 6, 0, 6, 6, 6, 6, 0, 6, 6, 0, 6, 6, 0, 6, 0, 6, 6], [0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 6], [6, 0, 6, 6, 6, 6, 6, 0, 0, 6, 6, 0, 6, 0, 0, 0, 6, 6, 6, 6], [0, 6, 0, 0, 6, 6, 0, 6, 6, 0, 6, 6, 6, 6, 6, 0, 6, 0, 0, 0], [0, 6, 0, 0, 0, 6, 0, 0, 0, 0, 6, 0, 0, 6, 6, 6, 6, 6, 0, 6], [6, 6, 0, 6, 0, 6, 0, 6, 6, 6, 0, 0, 6, 0, 0, 0, 0, 0, 6, 6], [6, 6, 6, 6, 6, 0, 6, 6, 6, 6, 0, 0, 0, 6, 6, 6, 0, 6, 0, 0], [0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 0, 0, 0, 0, 6], [0, 0, 0, 6, 6, 0, 0, 0, 6, 0, 6, 0, 6, 6, 6, 6, 0, 6, 6, 0], [6, 0, 0, 0, 0, 0, 6, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6], [6, 6, 6, 6, 0, 0, 6, 6, 0, 6, 6, 0, 0, 6, 0, 6, 6, 0, 6, 6], [6, 0, 0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 0, 6, 6, 6], [6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 6, 0, 0, 6, 0, 6, 6, 6, 0, 0], [0, 6, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 0, 0, 0, 0, 6, 0, 0, 6], [0, 0, 0, 0, 0, 0, 6, 6, 0, 6, 0, 6, 0, 0, 0, 0, 6, 6, 0, 0], [0, 0, 0, 0, 6, 0, 0, 6, 0, 6, 0, 0, 6, 6, 0, 6, 6, 0, 0, 6], [0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2], [2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2], [0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0], [0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2], [0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0], [2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0], [2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0], [0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0], [2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2], [0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0], [2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2], [0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2], [0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0], [0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0], [2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0], [0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0], [2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0], [2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0], [2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2], [2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0]] -> [[0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1], [0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1], [0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1], [1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1], [1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0], [0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1], [1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0], [1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1], [0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1], [1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1], [1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1], [1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0], [1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1], [1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1], [1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1]]\nExample input-output arrays:\n[[0, 4, 0, 0, 0, 4, 4, 0, 4, 0, 0, 4, 4, 4, 4, 4, 0, 0, 4, 4], [0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 4, 4, 0, 0, 4, 0, 0, 0, 4, 4], [4, 4, 4, 0, 4, 0, 0, 4, 4, 0, 4, 4, 4, 0, 0, 4, 0, 4, 0, 0], [0, 4, 4, 4, 0, 4, 0, 0, 4, 4, 0, 0, 0, 0, 4, 0, 4, 0, 0, 4], [4, 0, 4, 0, 0, 4, 0, 0, 4, 0, 4, 4, 4, 0, 4, 0, 4, 0, 4, 0], [4, 4, 0, 4, 4, 4, 0, 0, 4, 4, 4, 4, 0, 0, 4, 0, 0, 0, 4, 0], [0, 0, 4, 0, 4, 4, 4, 0, 4, 4, 0, 4, 4, 4, 4, 0, 0, 0, 0, 0], [0, 4, 4, 4, 0, 4, 0, 4, 4, 4, 4, 0, 4, 0, 4, 4, 4, 4, 4, 0], [0, 4, 0, 0, 0, 4, 4, 4, 4, 0, 4, 4, 4, 4, 0, 4, 0, 0, 0, 0], [0, 0, 4, 4, 0, 0, 4, 4, 4, 4, 0, 4, 4, 4, 0, 0, 4, 0, 0, 0], [0, 0, 0, 0, 0, 4, 4, 0, 4, 0, 4, 4, 0, 0, 0, 0, 0, 4, 0, 0], [4, 0, 0, 0, 4, 0, 4, 4, 0, 4, 0, 4, 4, 4, 0, 4, 0, 0, 4, 0], [4, 4, 0, 0, 4, 4, 4, 4, 0, 0, 0, 4, 0, 0, 4, 4, 4, 0, 4, 0], [4, 0, 0, 4, 0, 0, 4, 4, 4, 0, 0, 4, 0, 0, 4, 4, 0, 4, 4, 4], [4, 4, 0, 4, 0, 4, 4, 4, 4, 0, 0, 4, 4, 0, 4, 0, 4, 4, 0, 4], [4, 4, 0, 0, 4, 4, 4, 4, 0, 0, 4, 0, 4, 4, 4, 0, 4, 0, 0, 0], [0, 0, 0, 0, 4, 0, 4, 4, 4, 4, 0, 0, 4, 0, 4, 4, 0, 4, 0, 0], [0, 0, 4, 4, 0, 0, 4, 4, 4, 4, 0, 4, 0, 4, 0, 4, 4, 4, 4, 4], [4, 0, 4, 4, 0, 4, 4, 0, 0, 0, 0, 4, 4, 0, 4, 4, 4, 0, 4, 0], [0, 4, 0, 4, 4, 4, 4, 0, 0, 0, 4, 0, 0, 4, 4, 4, 4, 0, 4, 0], [2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2], [0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2], [2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2], [2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2], [2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2], [0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0], [2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0], [2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0], [0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2], [2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2], [2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0], [2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0], [2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0], [2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0], [0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0], [2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2]] -> [[1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1], [1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1], [1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1], [1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1], [1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0], [1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1], [1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1], [1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0], [1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0], [1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0], [1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1], [1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1], [1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1], [1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0], [1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0], [1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2], [0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2], [2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2], [2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2], [2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2], [0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0], [2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0], [2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0], [0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2], [2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2], [2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0], [2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0], [2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0], [2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0], [0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0], [2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2]] -> ",
+                "test": {
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+                    "output": [
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+            },
+            "Replicate 1": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[4, 0, 4, 0, 0, 4, 4, 4, 0, 4, 4, 4, 0, 0, 0, 4, 0, 0, 0, 0], [4, 4, 0, 4, 4, 4, 4, 4, 4, 4, 0, 4, 0, 0, 0, 0, 4, 4, 4, 0], [4, 0, 4, 4, 4, 0, 4, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 4, 0, 4], [4, 0, 0, 4, 0, 0, 0, 0, 4, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4], [0, 4, 4, 0, 0, 4, 0, 4, 0, 4, 0, 0, 4, 4, 0, 0, 4, 0, 0, 4], [0, 0, 4, 0, 0, 4, 4, 4, 4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 4, 0], [0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 4, 0, 4, 0, 4], [0, 4, 4, 4, 0, 0, 0, 4, 0, 4, 0, 4, 4, 0, 4, 0, 4, 0, 4, 4], [4, 0, 4, 4, 0, 0, 0, 0, 4, 4, 0, 4, 4, 0, 0, 0, 0, 4, 0, 4], [0, 4, 0, 4, 0, 0, 0, 4, 0, 0, 4, 4, 4, 4, 0, 0, 0, 4, 0, 4], [4, 4, 4, 0, 4, 4, 4, 0, 4, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0, 4], [4, 4, 0, 4, 0, 0, 4, 0, 0, 4, 4, 4, 4, 0, 4, 0, 0, 4, 0, 4], [0, 0, 4, 0, 4, 4, 4, 4, 0, 4, 4, 4, 0, 0, 4, 0, 4, 0, 4, 0], [4, 0, 4, 0, 4, 4, 4, 4, 4, 4, 4, 0, 0, 4, 0, 0, 4, 4, 4, 4], [0, 0, 0, 4, 0, 4, 4, 0, 4, 0, 0, 0, 0, 0, 4, 4, 4, 0, 4, 4], [4, 4, 0, 0, 0, 4, 4, 4, 0, 4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 4], [0, 4, 0, 0, 0, 0, 4, 0, 4, 0, 4, 0, 4, 4, 4, 4, 0, 4, 0, 0], [4, 4, 0, 0, 4, 0, 4, 4, 4, 0, 0, 0, 4, 4, 0, 4, 0, 0, 0, 4], [4, 4, 4, 4, 0, 4, 4, 4, 4, 4, 4, 0, 0, 4, 0, 4, 4, 0, 4, 0], [0, 0, 0, 4, 0, 0, 0, 0, 0, 4, 4, 0, 4, 4, 4, 0, 4, 0, 0, 0], [2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0], [0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0], [0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2], [2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0], [2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2], [2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0], [0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0], [2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2], [0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0], [2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2], [0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2], [2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2], [2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2], [0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0], [2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0], [2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0], [0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0], [2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2], [2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2]] -> [[1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0], [1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0], [1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1], [1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0], [0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1], [1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1], [1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1], [1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1], [1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1], [1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1], [1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1], [0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0], [1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1], [1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1], [1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[4, 0, 4, 0, 0, 4, 4, 4, 0, 4, 4, 4, 0, 0, 0, 4, 0, 0, 0, 0], [4, 4, 0, 4, 4, 4, 4, 4, 4, 4, 0, 4, 0, 0, 0, 0, 4, 4, 4, 0], [4, 0, 4, 4, 4, 0, 4, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 4, 0, 4], [4, 0, 0, 4, 0, 0, 0, 0, 4, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4], [0, 4, 4, 0, 0, 4, 0, 4, 0, 4, 0, 0, 4, 4, 0, 0, 4, 0, 0, 4], [0, 0, 4, 0, 0, 4, 4, 4, 4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 4, 0], [0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 4, 0, 4, 0, 4], [0, 4, 4, 4, 0, 0, 0, 4, 0, 4, 0, 4, 4, 0, 4, 0, 4, 0, 4, 4], [4, 0, 4, 4, 0, 0, 0, 0, 4, 4, 0, 4, 4, 0, 0, 0, 0, 4, 0, 4], [0, 4, 0, 4, 0, 0, 0, 4, 0, 0, 4, 4, 4, 4, 0, 0, 0, 4, 0, 4], [4, 4, 4, 0, 4, 4, 4, 0, 4, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0, 4], [4, 4, 0, 4, 0, 0, 4, 0, 0, 4, 4, 4, 4, 0, 4, 0, 0, 4, 0, 4], [0, 0, 4, 0, 4, 4, 4, 4, 0, 4, 4, 4, 0, 0, 4, 0, 4, 0, 4, 0], [4, 0, 4, 0, 4, 4, 4, 4, 4, 4, 4, 0, 0, 4, 0, 0, 4, 4, 4, 4], [0, 0, 0, 4, 0, 4, 4, 0, 4, 0, 0, 0, 0, 0, 4, 4, 4, 0, 4, 4], [4, 4, 0, 0, 0, 4, 4, 4, 0, 4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 4], [0, 4, 0, 0, 0, 0, 4, 0, 4, 0, 4, 0, 4, 4, 4, 4, 0, 4, 0, 0], [4, 4, 0, 0, 4, 0, 4, 4, 4, 0, 0, 0, 4, 4, 0, 4, 0, 0, 0, 4], [4, 4, 4, 4, 0, 4, 4, 4, 4, 4, 4, 0, 0, 4, 0, 4, 4, 0, 4, 0], [0, 0, 0, 4, 0, 0, 0, 0, 0, 4, 4, 0, 4, 4, 4, 0, 4, 0, 0, 0], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]] -> [[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]]\nExample input-output arrays:\n[[4, 0, 0, 0, 4, 4, 0, 4, 0, 4, 4, 4, 4, 0, 0, 0, 4, 0, 0, 0], [4, 0, 4, 4, 4, 0, 0, 4, 4, 0, 4, 0, 0, 0, 4, 4, 0, 4, 0, 0], [0, 0, 0, 4, 0, 4, 4, 4, 0, 0, 4, 0, 4, 0, 4, 0, 0, 4, 0, 4], [4, 4, 0, 4, 4, 4, 0, 4, 0, 4, 0, 4, 0, 0, 0, 4, 4, 4, 4, 0], [0, 4, 0, 4, 4, 4, 0, 4, 0, 4, 4, 0, 4, 0, 0, 0, 0, 0, 4, 0], [4, 4, 4, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 4, 0, 0, 4, 4, 0], [0, 0, 4, 4, 0, 4, 0, 0, 0, 0, 0, 4, 0, 0, 4, 0, 4, 0, 0, 4], [4, 0, 4, 4, 0, 0, 4, 0, 4, 4, 0, 0, 0, 0, 4, 4, 0, 4, 4, 0], [4, 4, 0, 4, 4, 4, 0, 0, 4, 0, 4, 0, 4, 0, 4, 4, 4, 0, 0, 0], [4, 0, 0, 4, 0, 4, 0, 4, 0, 4, 0, 0, 4, 4, 0, 0, 4, 0, 0, 0], [0, 4, 0, 4, 0, 0, 4, 4, 0, 4, 4, 0, 0, 0, 4, 4, 4, 4, 4, 0], [4, 4, 4, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 4, 0, 4, 0], [0, 4, 4, 4, 0, 0, 4, 4, 0, 0, 4, 4, 4, 4, 4, 0, 4, 4, 4, 4], [4, 4, 0, 0, 0, 4, 0, 0, 0, 4, 4, 0, 4, 4, 4, 0, 0, 4, 0, 0], [4, 0, 0, 4, 0, 4, 0, 4, 0, 0, 4, 4, 4, 4, 0, 4, 0, 4, 4, 0], [0, 0, 0, 4, 4, 4, 4, 0, 4, 4, 4, 4, 4, 0, 4, 0, 0, 4, 0, 4], [0, 4, 4, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 0, 0, 4, 0, 0, 4, 4], [4, 0, 4, 0, 0, 4, 4, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 4, 4, 4], [4, 4, 4, 0, 0, 4, 4, 0, 4, 4, 4, 4, 0, 0, 0, 0, 4, 4, 4, 4], [4, 0, 4, 0, 0, 4, 0, 4, 4, 4, 4, 0, 0, 0, 0, 0, 4, 4, 0, 4], [0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2], [2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2], [0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0], [2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0], [2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2], [0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0], [0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2], [0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2], [2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0], [0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2], [0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2], [2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0], [0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2], [2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0], [2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0], [0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2], [0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0], [2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2]] -> [[1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1], [1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1], [0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1], [1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0], [1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0], [1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1], [0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1], [1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1], [1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1], [1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0], [0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0], [1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1], [0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1], [1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0], [1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1], [1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1], [1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1], [1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[4, 0, 0, 0, 4, 4, 0, 4, 0, 4, 4, 4, 4, 0, 0, 0, 4, 0, 0, 0], [4, 0, 4, 4, 4, 0, 0, 4, 4, 0, 4, 0, 0, 0, 4, 4, 0, 4, 0, 0], [0, 0, 0, 4, 0, 4, 4, 4, 0, 0, 4, 0, 4, 0, 4, 0, 0, 4, 0, 4], [4, 4, 0, 4, 4, 4, 0, 4, 0, 4, 0, 4, 0, 0, 0, 4, 4, 4, 4, 0], [0, 4, 0, 4, 4, 4, 0, 4, 0, 4, 4, 0, 4, 0, 0, 0, 0, 0, 4, 0], [4, 4, 4, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 4, 0, 0, 4, 4, 0], [0, 0, 4, 4, 0, 4, 0, 0, 0, 0, 0, 4, 0, 0, 4, 0, 4, 0, 0, 4], [4, 0, 4, 4, 0, 0, 4, 0, 4, 4, 0, 0, 0, 0, 4, 4, 0, 4, 4, 0], [4, 4, 0, 4, 4, 4, 0, 0, 4, 0, 4, 0, 4, 0, 4, 4, 4, 0, 0, 0], [4, 0, 0, 4, 0, 4, 0, 4, 0, 4, 0, 0, 4, 4, 0, 0, 4, 0, 0, 0], [0, 4, 0, 4, 0, 0, 4, 4, 0, 4, 4, 0, 0, 0, 4, 4, 4, 4, 4, 0], [4, 4, 4, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 4, 0, 4, 0], [0, 4, 4, 4, 0, 0, 4, 4, 0, 0, 4, 4, 4, 4, 4, 0, 4, 4, 4, 4], [4, 4, 0, 0, 0, 4, 0, 0, 0, 4, 4, 0, 4, 4, 4, 0, 0, 4, 0, 0], [4, 0, 0, 4, 0, 4, 0, 4, 0, 0, 4, 4, 4, 4, 0, 4, 0, 4, 4, 0], [0, 0, 0, 4, 4, 4, 4, 0, 4, 4, 4, 4, 4, 0, 4, 0, 0, 4, 0, 4], [0, 4, 4, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 0, 0, 4, 0, 0, 4, 4], [4, 0, 4, 0, 0, 4, 4, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 4, 4, 4], [4, 4, 4, 0, 0, 4, 4, 0, 4, 4, 4, 4, 0, 0, 0, 0, 4, 4, 4, 4], [4, 0, 4, 0, 0, 4, 0, 4, 4, 4, 4, 0, 0, 0, 0, 0, 4, 4, 0, 4], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]] -> ",
+                "test": {
+                    "input": [
+                        [
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+                }
+            },
+            "Replicate 2": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 4, 4, 0, 4, 4, 0, 4, 0, 0, 0, 4, 4, 0, 0, 4, 0, 4, 4, 0], [4, 0, 4, 4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4], [0, 4, 0, 0, 4, 4, 4, 0, 0, 0, 4, 4, 4, 4, 0, 4, 0, 0, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 0, 4, 0, 0, 4, 4, 0], [4, 0, 4, 0, 4, 4, 0, 4, 0, 4, 4, 0, 4, 0, 4, 4, 0, 4, 0, 4], [0, 0, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 4, 0, 4, 4], [0, 4, 4, 0, 0, 0, 0, 4, 4, 0, 4, 0, 4, 4, 4, 4, 0, 4, 0, 0], [4, 0, 0, 4, 4, 0, 4, 4, 4, 0, 4, 4, 4, 0, 4, 4, 4, 4, 0, 4], [4, 4, 4, 4, 4, 0, 0, 0, 4, 4, 4, 0, 0, 4, 0, 4, 0, 0, 0, 0], [0, 0, 0, 4, 0, 4, 0, 4, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0], [4, 0, 0, 4, 0, 0, 0, 4, 4, 4, 0, 4, 4, 0, 4, 4, 4, 0, 0, 4], [0, 0, 0, 0, 0, 4, 0, 0, 4, 0, 4, 0, 4, 4, 4, 4, 0, 0, 4, 0], [0, 4, 4, 4, 4, 4, 0, 0, 4, 0, 0, 4, 0, 4, 0, 0, 4, 0, 4, 0], [0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 4, 4, 4, 0, 4], [4, 0, 4, 4, 0, 4, 0, 0, 4, 0, 4, 0, 4, 4, 4, 4, 4, 4, 0, 4], [0, 0, 4, 4, 4, 4, 0, 0, 4, 4, 0, 0, 4, 4, 4, 4, 4, 4, 0, 0], [4, 4, 0, 0, 4, 0, 4, 0, 0, 0, 4, 0, 0, 4, 4, 0, 0, 4, 4, 4], [0, 4, 0, 4, 0, 0, 0, 0, 4, 0, 4, 0, 4, 4, 0, 0, 0, 4, 4, 4], [4, 4, 4, 4, 4, 0, 0, 4, 0, 0, 0, 0, 4, 0, 4, 4, 0, 0, 0, 4], [4, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 0, 0, 0, 4, 0, 0, 0], [2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2], [2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2], [0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0], [0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2], [0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0], [2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2], [2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0], [2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2], [2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0], [2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0], [0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0], [0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0], [0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2], [0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0], [0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0], [2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2], [2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2], [0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2]] -> [[1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1], [1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1], [0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1], [1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1], [1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0], [1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0], [1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0], [1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1], [0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0], [0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0], [0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1], [0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0], [1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1], [1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1], [1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1], [1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2], [2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2], [0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0], [0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2], [0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0], [2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2], [2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0], [2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2], [2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0], [2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0], [0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0], [0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0], [0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2], [0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0], [0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0], [2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2], [2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2], [0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2]] -> [[1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1], [1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1], [0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0], [0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1], [0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0], [1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1], [1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0], [1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1], [1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0], [1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0], [0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0], [0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0], [0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1], [0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0], [0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0], [1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1], [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1], [0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1]]\nExample input-output arrays:\n[[0, 0, 4, 0, 4, 0, 0, 4, 4, 0, 4, 4, 0, 0, 4, 4, 4, 0, 4, 4], [4, 4, 0, 4, 4, 4, 4, 0, 0, 4, 0, 0, 4, 0, 0, 0, 4, 4, 4, 4], [0, 4, 4, 4, 4, 4, 0, 4, 4, 0, 4, 0, 0, 0, 4, 4, 4, 4, 4, 4], [4, 0, 4, 4, 0, 4, 4, 4, 4, 0, 4, 4, 0, 4, 4, 0, 4, 0, 4, 4], [0, 0, 4, 0, 4, 4, 4, 4, 4, 4, 0, 4, 4, 0, 0, 4, 4, 4, 4, 4], [4, 0, 4, 4, 4, 4, 4, 0, 0, 4, 4, 0, 4, 0, 0, 0, 4, 4, 4, 4], [0, 4, 0, 0, 4, 4, 0, 4, 4, 0, 4, 4, 4, 4, 4, 0, 4, 0, 0, 0], [0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 4, 0, 0, 4, 4, 4, 4, 4, 0, 4], [4, 4, 0, 4, 0, 4, 0, 4, 4, 4, 0, 0, 4, 0, 0, 0, 0, 0, 4, 4], [4, 4, 4, 4, 4, 0, 4, 4, 4, 4, 0, 0, 0, 4, 4, 4, 0, 4, 0, 0], [0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 4, 0, 0, 0, 0, 4], [0, 0, 0, 4, 4, 0, 0, 0, 4, 0, 4, 0, 4, 4, 4, 4, 0, 4, 4, 0], [4, 0, 0, 0, 0, 0, 4, 4, 4, 0, 4, 0, 4, 4, 0, 0, 4, 4, 4, 4], [4, 4, 4, 4, 0, 0, 4, 4, 0, 4, 4, 0, 0, 4, 0, 4, 4, 0, 4, 4], [4, 0, 0, 4, 4, 0, 4, 4, 4, 0, 0, 0, 0, 0, 4, 4, 0, 4, 4, 4], [4, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 0, 0, 0, 0, 4, 4, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 0, 4, 4, 0, 0, 4, 0, 4, 4, 4, 0, 0], [0, 4, 4, 4, 4, 4, 0, 4, 4, 4, 4, 4, 0, 0, 0, 0, 4, 0, 0, 4], [0, 0, 0, 0, 0, 0, 4, 4, 0, 4, 0, 4, 0, 0, 0, 0, 4, 4, 0, 0], [0, 0, 0, 0, 4, 0, 0, 4, 0, 4, 0, 0, 4, 4, 0, 4, 4, 0, 0, 4], [0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2], [2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2], [0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0], [0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2], [0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0], [2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0], [2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0], [0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0], [2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2], [0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0], [2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2], [0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2], [0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0], [0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0], [2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0], [0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0], [2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0], [2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0], [2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2], [2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0]] -> [[0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1], [0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1], [0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1], [1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1], [1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0], [0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1], [1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0], [1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1], [0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1], [1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1], [1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1], [1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0], [1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1], [1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1], [1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 0, 6, 0, 6, 0, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 6, 0, 6, 6], [6, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 0, 6, 0, 0, 0, 6, 6, 6, 6], [0, 6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 0, 0, 0, 6, 6, 6, 6, 6, 6], [6, 0, 6, 6, 0, 6, 6, 6, 6, 0, 6, 6, 0, 6, 6, 0, 6, 0, 6, 6], [0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 6], [6, 0, 6, 6, 6, 6, 6, 0, 0, 6, 6, 0, 6, 0, 0, 0, 6, 6, 6, 6], [0, 6, 0, 0, 6, 6, 0, 6, 6, 0, 6, 6, 6, 6, 6, 0, 6, 0, 0, 0], [0, 6, 0, 0, 0, 6, 0, 0, 0, 0, 6, 0, 0, 6, 6, 6, 6, 6, 0, 6], [6, 6, 0, 6, 0, 6, 0, 6, 6, 6, 0, 0, 6, 0, 0, 0, 0, 0, 6, 6], [6, 6, 6, 6, 6, 0, 6, 6, 6, 6, 0, 0, 0, 6, 6, 6, 0, 6, 0, 0], [0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 0, 0, 0, 0, 6], [0, 0, 0, 6, 6, 0, 0, 0, 6, 0, 6, 0, 6, 6, 6, 6, 0, 6, 6, 0], [6, 0, 0, 0, 0, 0, 6, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6], [6, 6, 6, 6, 0, 0, 6, 6, 0, 6, 6, 0, 0, 6, 0, 6, 6, 0, 6, 6], [6, 0, 0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 0, 6, 6, 6], [6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 6, 0, 0, 6, 0, 6, 6, 6, 0, 0], [0, 6, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 0, 0, 0, 0, 6, 0, 0, 6], [0, 0, 0, 0, 0, 0, 6, 6, 0, 6, 0, 6, 0, 0, 0, 0, 6, 6, 0, 0], [0, 0, 0, 0, 6, 0, 0, 6, 0, 6, 0, 0, 6, 6, 0, 6, 6, 0, 0, 6], [0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2], [2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2], [0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0], [0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2], [0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0], [2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0], [2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0], [0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0], [2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2], [0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0], [2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2], [0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2], [0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0], [0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0], [2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0], [0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0], [2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0], [2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0], [2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2], [2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0]] -> ",
+                "test": {
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+            "Replicate 3": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[4, 0, 4, 0, 0, 4, 4, 4, 0, 4, 4, 4, 0, 0, 0, 4, 0, 0, 0, 0], [4, 4, 0, 4, 4, 4, 4, 4, 4, 4, 0, 4, 0, 0, 0, 0, 4, 4, 4, 0], [4, 0, 4, 4, 4, 0, 4, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 4, 0, 4], [4, 0, 0, 4, 0, 0, 0, 0, 4, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4], [0, 4, 4, 0, 0, 4, 0, 4, 0, 4, 0, 0, 4, 4, 0, 0, 4, 0, 0, 4], [0, 0, 4, 0, 0, 4, 4, 4, 4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 4, 0], [0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 4, 0, 4, 0, 4], [0, 4, 4, 4, 0, 0, 0, 4, 0, 4, 0, 4, 4, 0, 4, 0, 4, 0, 4, 4], [4, 0, 4, 4, 0, 0, 0, 0, 4, 4, 0, 4, 4, 0, 0, 0, 0, 4, 0, 4], [0, 4, 0, 4, 0, 0, 0, 4, 0, 0, 4, 4, 4, 4, 0, 0, 0, 4, 0, 4], [4, 4, 4, 0, 4, 4, 4, 0, 4, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0, 4], [4, 4, 0, 4, 0, 0, 4, 0, 0, 4, 4, 4, 4, 0, 4, 0, 0, 4, 0, 4], [0, 0, 4, 0, 4, 4, 4, 4, 0, 4, 4, 4, 0, 0, 4, 0, 4, 0, 4, 0], [4, 0, 4, 0, 4, 4, 4, 4, 4, 4, 4, 0, 0, 4, 0, 0, 4, 4, 4, 4], [0, 0, 0, 4, 0, 4, 4, 0, 4, 0, 0, 0, 0, 0, 4, 4, 4, 0, 4, 4], [4, 4, 0, 0, 0, 4, 4, 4, 0, 4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 4], [0, 4, 0, 0, 0, 0, 4, 0, 4, 0, 4, 0, 4, 4, 4, 4, 0, 4, 0, 0], [4, 4, 0, 0, 4, 0, 4, 4, 4, 0, 0, 0, 4, 4, 0, 4, 0, 0, 0, 4], [4, 4, 4, 4, 0, 4, 4, 4, 4, 4, 4, 0, 0, 4, 0, 4, 4, 0, 4, 0], [0, 0, 0, 4, 0, 0, 0, 0, 0, 4, 4, 0, 4, 4, 4, 0, 4, 0, 0, 0], [2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0], [0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0], [0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2], [2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0], [2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2], [2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0], [0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0], [2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2], [0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0], [2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2], [0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2], [2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2], [2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2], [0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0], [2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0], [2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0], [0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0], [2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2], [2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2]] -> [[1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0], [1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0], [1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1], [1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0], [0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1], [1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1], [1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1], [1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1], [1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1], [1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1], [1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1], [0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0], [1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1], [1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1], [1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[5, 0, 5, 0, 0, 5, 5, 5, 0, 5, 5, 5, 0, 0, 0, 5, 0, 0, 0, 0], [5, 5, 0, 5, 5, 5, 5, 5, 5, 5, 0, 5, 0, 0, 0, 0, 5, 5, 5, 0], [5, 0, 5, 5, 5, 0, 5, 0, 5, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 5], [5, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 5, 5, 5, 5, 5, 5, 5, 5], [0, 5, 5, 0, 0, 5, 0, 5, 0, 5, 0, 0, 5, 5, 0, 0, 5, 0, 0, 5], [0, 0, 5, 0, 0, 5, 5, 5, 5, 0, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0], [0, 0, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 5, 0, 5], [0, 5, 5, 5, 0, 0, 0, 5, 0, 5, 0, 5, 5, 0, 5, 0, 5, 0, 5, 5], [5, 0, 5, 5, 0, 0, 0, 0, 5, 5, 0, 5, 5, 0, 0, 0, 0, 5, 0, 5], [0, 5, 0, 5, 0, 0, 0, 5, 0, 0, 5, 5, 5, 5, 0, 0, 0, 5, 0, 5], [5, 5, 5, 0, 5, 5, 5, 0, 5, 0, 0, 0, 0, 5, 0, 0, 5, 0, 0, 5], [5, 5, 0, 5, 0, 0, 5, 0, 0, 5, 5, 5, 5, 0, 5, 0, 0, 5, 0, 5], [0, 0, 5, 0, 5, 5, 5, 5, 0, 5, 5, 5, 0, 0, 5, 0, 5, 0, 5, 0], [5, 0, 5, 0, 5, 5, 5, 5, 5, 5, 5, 0, 0, 5, 0, 0, 5, 5, 5, 5], [0, 0, 0, 5, 0, 5, 5, 0, 5, 0, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5], [5, 5, 0, 0, 0, 5, 5, 5, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0, 0, 5], [0, 5, 0, 0, 0, 0, 5, 0, 5, 0, 5, 0, 5, 5, 5, 5, 0, 5, 0, 0], [5, 5, 0, 0, 5, 0, 5, 5, 5, 0, 0, 0, 5, 5, 0, 5, 0, 0, 0, 5], [5, 5, 5, 5, 0, 5, 5, 5, 5, 5, 5, 0, 0, 5, 0, 5, 5, 0, 5, 0], [0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 5, 0, 5, 5, 5, 0, 5, 0, 0, 0], [2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0], [0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0], [0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2], [2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0], [2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2], [2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0], [0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0], [2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2], [0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0], [2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2], [0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2], [2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2], [2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2], [0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0], [2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0], [2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0], [0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0], [2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2], [2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2]] -> [[1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0], [1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0], [1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1], [1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0], [0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1], [1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1], [1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1], [1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1], [1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1], [1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1], [1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1], [0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0], [1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1], [1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1], [1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1]]\nExample input-output arrays:\n[[0, 4, 0, 0, 0, 4, 4, 0, 4, 0, 0, 4, 4, 4, 4, 4, 0, 0, 4, 4], [0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 4, 4, 0, 0, 4, 0, 0, 0, 4, 4], [4, 4, 4, 0, 4, 0, 0, 4, 4, 0, 4, 4, 4, 0, 0, 4, 0, 4, 0, 0], [0, 4, 4, 4, 0, 4, 0, 0, 4, 4, 0, 0, 0, 0, 4, 0, 4, 0, 0, 4], [4, 0, 4, 0, 0, 4, 0, 0, 4, 0, 4, 4, 4, 0, 4, 0, 4, 0, 4, 0], [4, 4, 0, 4, 4, 4, 0, 0, 4, 4, 4, 4, 0, 0, 4, 0, 0, 0, 4, 0], [0, 0, 4, 0, 4, 4, 4, 0, 4, 4, 0, 4, 4, 4, 4, 0, 0, 0, 0, 0], [0, 4, 4, 4, 0, 4, 0, 4, 4, 4, 4, 0, 4, 0, 4, 4, 4, 4, 4, 0], [0, 4, 0, 0, 0, 4, 4, 4, 4, 0, 4, 4, 4, 4, 0, 4, 0, 0, 0, 0], [0, 0, 4, 4, 0, 0, 4, 4, 4, 4, 0, 4, 4, 4, 0, 0, 4, 0, 0, 0], [0, 0, 0, 0, 0, 4, 4, 0, 4, 0, 4, 4, 0, 0, 0, 0, 0, 4, 0, 0], [4, 0, 0, 0, 4, 0, 4, 4, 0, 4, 0, 4, 4, 4, 0, 4, 0, 0, 4, 0], [4, 4, 0, 0, 4, 4, 4, 4, 0, 0, 0, 4, 0, 0, 4, 4, 4, 0, 4, 0], [4, 0, 0, 4, 0, 0, 4, 4, 4, 0, 0, 4, 0, 0, 4, 4, 0, 4, 4, 4], [4, 4, 0, 4, 0, 4, 4, 4, 4, 0, 0, 4, 4, 0, 4, 0, 4, 4, 0, 4], [4, 4, 0, 0, 4, 4, 4, 4, 0, 0, 4, 0, 4, 4, 4, 0, 4, 0, 0, 0], [0, 0, 0, 0, 4, 0, 4, 4, 4, 4, 0, 0, 4, 0, 4, 4, 0, 4, 0, 0], [0, 0, 4, 4, 0, 0, 4, 4, 4, 4, 0, 4, 0, 4, 0, 4, 4, 4, 4, 4], [4, 0, 4, 4, 0, 4, 4, 0, 0, 0, 0, 4, 4, 0, 4, 4, 4, 0, 4, 0], [0, 4, 0, 4, 4, 4, 4, 0, 0, 0, 4, 0, 0, 4, 4, 4, 4, 0, 4, 0], [2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2], [0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2], [2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2], [2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2], [2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2], [0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0], [2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0], [2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0], [0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2], [2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2], [2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0], [2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0], [2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0], [2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0], [0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0], [2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2]] -> [[1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1], [1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1], [1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1], [1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1], [1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0], [1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1], [1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1], [1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0], [1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0], [1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0], [1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1], [1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1], [1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1], [1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0], [1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0], [1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 4, 0, 0, 0, 4, 4, 0, 4, 0, 0, 4, 4, 4, 4, 4, 0, 0, 4, 4], [0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 4, 4, 0, 0, 4, 0, 0, 0, 4, 4], [4, 4, 4, 0, 4, 0, 0, 4, 4, 0, 4, 4, 4, 0, 0, 4, 0, 4, 0, 0], [0, 4, 4, 4, 0, 4, 0, 0, 4, 4, 0, 0, 0, 0, 4, 0, 4, 0, 0, 4], [4, 0, 4, 0, 0, 4, 0, 0, 4, 0, 4, 4, 4, 0, 4, 0, 4, 0, 4, 0], [4, 4, 0, 4, 4, 4, 0, 0, 4, 4, 4, 4, 0, 0, 4, 0, 0, 0, 4, 0], [0, 0, 4, 0, 4, 4, 4, 0, 4, 4, 0, 4, 4, 4, 4, 0, 0, 0, 0, 0], [0, 4, 4, 4, 0, 4, 0, 4, 4, 4, 4, 0, 4, 0, 4, 4, 4, 4, 4, 0], [0, 4, 0, 0, 0, 4, 4, 4, 4, 0, 4, 4, 4, 4, 0, 4, 0, 0, 0, 0], [0, 0, 4, 4, 0, 0, 4, 4, 4, 4, 0, 4, 4, 4, 0, 0, 4, 0, 0, 0], [0, 0, 0, 0, 0, 4, 4, 0, 4, 0, 4, 4, 0, 0, 0, 0, 0, 4, 0, 0], [4, 0, 0, 0, 4, 0, 4, 4, 0, 4, 0, 4, 4, 4, 0, 4, 0, 0, 4, 0], [4, 4, 0, 0, 4, 4, 4, 4, 0, 0, 0, 4, 0, 0, 4, 4, 4, 0, 4, 0], [4, 0, 0, 4, 0, 0, 4, 4, 4, 0, 0, 4, 0, 0, 4, 4, 0, 4, 4, 4], [4, 4, 0, 4, 0, 4, 4, 4, 4, 0, 0, 4, 4, 0, 4, 0, 4, 4, 0, 4], [4, 4, 0, 0, 4, 4, 4, 4, 0, 0, 4, 0, 4, 4, 4, 0, 4, 0, 0, 0], [0, 0, 0, 0, 4, 0, 4, 4, 4, 4, 0, 0, 4, 0, 4, 4, 0, 4, 0, 0], [0, 0, 4, 4, 0, 0, 4, 4, 4, 4, 0, 4, 0, 4, 0, 4, 4, 4, 4, 4], [4, 0, 4, 4, 0, 4, 4, 0, 0, 0, 0, 4, 4, 0, 4, 4, 4, 0, 4, 0], [0, 4, 0, 4, 4, 4, 4, 0, 0, 0, 4, 0, 0, 4, 4, 4, 4, 0, 4, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
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+            },
+            "Replicate 4": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[4, 0, 4, 0, 0, 4, 4, 4, 0, 4, 4, 4, 0, 0, 0, 4, 0, 0, 0, 0], [4, 4, 0, 4, 4, 4, 4, 4, 4, 4, 0, 4, 0, 0, 0, 0, 4, 4, 4, 0], [4, 0, 4, 4, 4, 0, 4, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 4, 0, 4], [4, 0, 0, 4, 0, 0, 0, 0, 4, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4], [0, 4, 4, 0, 0, 4, 0, 4, 0, 4, 0, 0, 4, 4, 0, 0, 4, 0, 0, 4], [0, 0, 4, 0, 0, 4, 4, 4, 4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 4, 0], [0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 4, 0, 4, 0, 4], [0, 4, 4, 4, 0, 0, 0, 4, 0, 4, 0, 4, 4, 0, 4, 0, 4, 0, 4, 4], [4, 0, 4, 4, 0, 0, 0, 0, 4, 4, 0, 4, 4, 0, 0, 0, 0, 4, 0, 4], [0, 4, 0, 4, 0, 0, 0, 4, 0, 0, 4, 4, 4, 4, 0, 0, 0, 4, 0, 4], [4, 4, 4, 0, 4, 4, 4, 0, 4, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0, 4], [4, 4, 0, 4, 0, 0, 4, 0, 0, 4, 4, 4, 4, 0, 4, 0, 0, 4, 0, 4], [0, 0, 4, 0, 4, 4, 4, 4, 0, 4, 4, 4, 0, 0, 4, 0, 4, 0, 4, 0], [4, 0, 4, 0, 4, 4, 4, 4, 4, 4, 4, 0, 0, 4, 0, 0, 4, 4, 4, 4], [0, 0, 0, 4, 0, 4, 4, 0, 4, 0, 0, 0, 0, 0, 4, 4, 4, 0, 4, 4], [4, 4, 0, 0, 0, 4, 4, 4, 0, 4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 4], [0, 4, 0, 0, 0, 0, 4, 0, 4, 0, 4, 0, 4, 4, 4, 4, 0, 4, 0, 0], [4, 4, 0, 0, 4, 0, 4, 4, 4, 0, 0, 0, 4, 4, 0, 4, 0, 0, 0, 4], [4, 4, 4, 4, 0, 4, 4, 4, 4, 4, 4, 0, 0, 4, 0, 4, 4, 0, 4, 0], [0, 0, 0, 4, 0, 0, 0, 0, 0, 4, 4, 0, 4, 4, 4, 0, 4, 0, 0, 0], [2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0], [0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0], [0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2], [2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0], [2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2], [2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0], [0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0], [2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2], [0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0], [2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2], [0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2], [2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2], [2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2], [0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0], [2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0], [2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0], [0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0], [2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2], [2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2]] -> [[1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0], [1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0], [1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1], [1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0], [0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1], [1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1], [1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1], [1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1], [1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1], [1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1], [1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1], [0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0], [1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1], [1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1], [1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1]]\nExample input-output arrays:\n[[4, 0, 4, 0, 0, 4, 4, 4, 0, 4, 4, 4, 0, 0, 0, 4, 0, 0, 0, 0], [4, 4, 0, 4, 4, 4, 4, 4, 4, 4, 0, 4, 0, 0, 0, 0, 4, 4, 4, 0], [4, 0, 4, 4, 4, 0, 4, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 4, 0, 4], [4, 0, 0, 4, 0, 0, 0, 0, 4, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4], [0, 4, 4, 0, 0, 4, 0, 4, 0, 4, 0, 0, 4, 4, 0, 0, 4, 0, 0, 4], [0, 0, 4, 0, 0, 4, 4, 4, 4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 4, 0], [0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 4, 0, 4, 0, 4], [0, 4, 4, 4, 0, 0, 0, 4, 0, 4, 0, 4, 4, 0, 4, 0, 4, 0, 4, 4], [4, 0, 4, 4, 0, 0, 0, 0, 4, 4, 0, 4, 4, 0, 0, 0, 0, 4, 0, 4], [0, 4, 0, 4, 0, 0, 0, 4, 0, 0, 4, 4, 4, 4, 0, 0, 0, 4, 0, 4], [4, 4, 4, 0, 4, 4, 4, 0, 4, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0, 4], [4, 4, 0, 4, 0, 0, 4, 0, 0, 4, 4, 4, 4, 0, 4, 0, 0, 4, 0, 4], [0, 0, 4, 0, 4, 4, 4, 4, 0, 4, 4, 4, 0, 0, 4, 0, 4, 0, 4, 0], [4, 0, 4, 0, 4, 4, 4, 4, 4, 4, 4, 0, 0, 4, 0, 0, 4, 4, 4, 4], [0, 0, 0, 4, 0, 4, 4, 0, 4, 0, 0, 0, 0, 0, 4, 4, 4, 0, 4, 4], [4, 4, 0, 0, 0, 4, 4, 4, 0, 4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 4], [0, 4, 0, 0, 0, 0, 4, 0, 4, 0, 4, 0, 4, 4, 4, 4, 0, 4, 0, 0], [4, 4, 0, 0, 4, 0, 4, 4, 4, 0, 0, 0, 4, 4, 0, 4, 0, 0, 0, 4], [4, 4, 4, 4, 0, 4, 4, 4, 4, 4, 4, 0, 0, 4, 0, 4, 4, 0, 4, 0], [0, 0, 0, 4, 0, 0, 0, 0, 0, 4, 4, 0, 4, 4, 4, 0, 4, 0, 0, 0], [2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0], [0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0], [0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2], [2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0], [2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2], [2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0], [0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0], [2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2], [0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0], [2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2], [0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2], [2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2], [2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2], [0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0], [2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0], [2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0], [0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0], [2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2], [2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2]] -> [[1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0], [1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0], [1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1], [1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0], [0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1], [1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1], [1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1], [1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1], [1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1], [1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1], [1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1], [0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0], [1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1], [1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1], [1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[8, 0, 8, 0, 0, 8, 8, 8, 0, 8, 8, 8, 0, 0, 0, 8, 0, 0, 0, 0], [8, 8, 0, 8, 8, 8, 8, 8, 8, 8, 0, 8, 0, 0, 0, 0, 8, 8, 8, 0], [8, 0, 8, 8, 8, 0, 8, 0, 8, 0, 0, 0, 8, 0, 0, 0, 0, 8, 0, 8], [8, 0, 0, 8, 0, 0, 0, 0, 8, 0, 0, 0, 8, 8, 8, 8, 8, 8, 8, 8], [0, 8, 8, 0, 0, 8, 0, 8, 0, 8, 0, 0, 8, 8, 0, 0, 8, 0, 0, 8], [0, 0, 8, 0, 0, 8, 8, 8, 8, 0, 0, 8, 0, 0, 0, 0, 0, 0, 8, 0], [0, 0, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 8, 0, 8, 0, 8], [0, 8, 8, 8, 0, 0, 0, 8, 0, 8, 0, 8, 8, 0, 8, 0, 8, 0, 8, 8], [8, 0, 8, 8, 0, 0, 0, 0, 8, 8, 0, 8, 8, 0, 0, 0, 0, 8, 0, 8], [0, 8, 0, 8, 0, 0, 0, 8, 0, 0, 8, 8, 8, 8, 0, 0, 0, 8, 0, 8], [8, 8, 8, 0, 8, 8, 8, 0, 8, 0, 0, 0, 0, 8, 0, 0, 8, 0, 0, 8], [8, 8, 0, 8, 0, 0, 8, 0, 0, 8, 8, 8, 8, 0, 8, 0, 0, 8, 0, 8], [0, 0, 8, 0, 8, 8, 8, 8, 0, 8, 8, 8, 0, 0, 8, 0, 8, 0, 8, 0], [8, 0, 8, 0, 8, 8, 8, 8, 8, 8, 8, 0, 0, 8, 0, 0, 8, 8, 8, 8], [0, 0, 0, 8, 0, 8, 8, 0, 8, 0, 0, 0, 0, 0, 8, 8, 8, 0, 8, 8], [8, 8, 0, 0, 0, 8, 8, 8, 0, 8, 0, 0, 0, 0, 0, 0, 8, 0, 0, 8], [0, 8, 0, 0, 0, 0, 8, 0, 8, 0, 8, 0, 8, 8, 8, 8, 0, 8, 0, 0], [8, 8, 0, 0, 8, 0, 8, 8, 8, 0, 0, 0, 8, 8, 0, 8, 0, 0, 0, 8], [8, 8, 8, 8, 0, 8, 8, 8, 8, 8, 8, 0, 0, 8, 0, 8, 8, 0, 8, 0], [0, 0, 0, 8, 0, 0, 0, 0, 0, 8, 8, 0, 8, 8, 8, 0, 8, 0, 0, 0], [2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0], [0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0], [0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2], [2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0], [2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2], [2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0], [0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0], [2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2], [0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0], [2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2], [0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2], [2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2], [2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2], [0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0], [2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0], [2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0], [0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0], [2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2], [2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2]] -> ",
+                "test": {
+                    "input": [
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+        "L1": {
+            "Replicate 0": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 3, 0, 0, 0, 3, 3, 0, 0, 0], [0, 0, 3, 0, 3, 0, 3, 3, 0, 0], [3, 3, 3, 3, 0, 0, 3, 0, 0, 3], [0, 3, 3, 0, 3, 0, 0, 3, 0, 3], [3, 0, 0, 0, 0, 3, 3, 0, 0, 3], [0, 3, 3, 3, 3, 3, 3, 3, 0, 0], [0, 3, 3, 0, 3, 0, 3, 0, 3, 3], [3, 0, 0, 3, 0, 0, 3, 3, 0, 3], [0, 0, 0, 0, 3, 0, 0, 3, 3, 0], [3, 3, 3, 3, 0, 3, 3, 3, 3, 3], [0, 0, 0, 0, 2, 2, 0, 0, 2, 0], [0, 0, 2, 0, 2, 0, 0, 0, 2, 2], [0, 2, 2, 0, 2, 2, 2, 0, 0, 0], [0, 2, 0, 0, 0, 2, 0, 0, 2, 0], [2, 0, 0, 2, 2, 0, 0, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [2, 2, 0, 0, 2, 0, 0, 2, 0, 0], [2, 2, 0, 2, 0, 0, 2, 0, 0, 0], [2, 2, 2, 0, 0, 2, 2, 2, 0, 2], [0, 2, 0, 0, 2, 0, 0, 2, 0, 0]] -> [[0, 1, 0, 0, 1, 0, 1, 0, 1, 0], [0, 0, 0, 0, 0, 0, 1, 1, 1, 1], [1, 0, 0, 1, 1, 1, 0, 0, 0, 1], [0, 0, 1, 0, 1, 1, 0, 1, 1, 1], [0, 0, 0, 1, 1, 1, 1, 1, 0, 1], [0, 1, 1, 1, 1, 1, 1, 1, 1, 0], [1, 0, 1, 0, 0, 0, 1, 1, 1, 1], [0, 1, 0, 0, 0, 0, 0, 1, 0, 1], [1, 1, 1, 0, 1, 1, 1, 0, 1, 1], [1, 0, 1, 1, 1, 1, 1, 0, 1, 1]]\nExample input-output arrays:\n[[3, 0, 0, 3, 0, 0, 0, 0, 3, 3], [0, 3, 0, 0, 3, 0, 0, 3, 0, 0], [3, 3, 3, 3, 0, 0, 0, 3, 3, 3], [0, 3, 3, 0, 3, 0, 3, 3, 0, 0], [3, 3, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3, 0, 3, 0, 0, 0, 0, 3, 3], [3, 3, 0, 0, 3, 3, 0, 0, 0, 3], [3, 3, 3, 3, 3, 0, 0, 3, 0, 3], [3, 0, 0, 0, 3, 0, 3, 0, 3, 3], [3, 3, 3, 3, 3, 0, 0, 3, 3, 0], [2, 2, 2, 0, 2, 2, 2, 0, 0, 0], [2, 2, 0, 2, 2, 2, 2, 0, 0, 2], [0, 0, 0, 2, 0, 0, 2, 2, 2, 0], [2, 0, 2, 0, 0, 2, 2, 2, 0, 2], [0, 0, 2, 2, 2, 0, 2, 2, 0, 2], [0, 2, 2, 0, 2, 0, 2, 0, 0, 0], [2, 2, 0, 0, 0, 0, 0, 0, 2, 2], [2, 0, 0, 2, 2, 2, 2, 2, 2, 0], [2, 0, 0, 0, 2, 2, 2, 0, 2, 2], [2, 0, 2, 0, 0, 2, 2, 0, 0, 2]] -> [[0, 1, 1, 1, 1, 1, 1, 0, 1, 1], [1, 0, 0, 1, 0, 1, 1, 1, 0, 1], [1, 1, 1, 0, 0, 0, 1, 0, 0, 1], [1, 1, 0, 0, 1, 1, 0, 0, 0, 1], [1, 1, 1, 1, 1, 0, 1, 1, 0, 1], [1, 0, 1, 1, 1, 0, 1, 0, 1, 1], [0, 0, 0, 0, 1, 1, 0, 0, 1, 0], [0, 1, 1, 0, 0, 1, 1, 0, 1, 1], [0, 0, 0, 0, 0, 1, 0, 0, 0, 0], [0, 1, 0, 1, 1, 1, 1, 1, 1, 1]]\nExample input-output arrays:\n[[0, 3, 0, 0, 0, 3, 3, 0, 0, 0], [0, 0, 3, 0, 3, 0, 3, 3, 0, 0], [3, 3, 3, 3, 0, 0, 3, 0, 0, 3], [0, 3, 3, 0, 3, 0, 0, 3, 0, 3], [3, 0, 0, 0, 0, 3, 3, 0, 0, 3], [0, 3, 3, 3, 3, 3, 3, 3, 0, 0], [0, 3, 3, 0, 3, 0, 3, 0, 3, 3], [3, 0, 0, 3, 0, 0, 3, 3, 0, 3], [0, 0, 0, 0, 3, 0, 0, 3, 3, 0], [3, 3, 3, 3, 0, 3, 3, 3, 3, 3], [0, 0, 0, 0, 2, 2, 0, 0, 2, 0], [0, 0, 2, 0, 2, 0, 0, 0, 2, 2], [0, 2, 2, 0, 2, 2, 2, 0, 0, 0], [0, 2, 0, 0, 0, 2, 0, 0, 2, 0], [2, 0, 0, 2, 2, 0, 0, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [2, 2, 0, 0, 2, 0, 0, 2, 0, 0], [2, 2, 0, 2, 0, 0, 2, 0, 0, 0], [2, 2, 2, 0, 0, 2, 2, 2, 0, 2], [0, 2, 0, 0, 2, 0, 0, 2, 0, 0]] -> [[0, 1, 0, 0, 1, 0, 1, 0, 1, 0], [0, 0, 0, 0, 0, 0, 1, 1, 1, 1], [1, 0, 0, 1, 1, 1, 0, 0, 0, 1], [0, 0, 1, 0, 1, 1, 0, 1, 1, 1], [0, 0, 0, 1, 1, 1, 1, 1, 0, 1], [0, 1, 1, 1, 1, 1, 1, 1, 1, 0], [1, 0, 1, 0, 0, 0, 1, 1, 1, 1], [0, 1, 0, 0, 0, 0, 0, 1, 0, 1], [1, 1, 1, 0, 1, 1, 1, 0, 1, 1], [1, 0, 1, 1, 1, 1, 1, 0, 1, 1]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 8, 0, 0, 0, 8, 8, 0, 0, 0], [0, 0, 8, 0, 8, 0, 8, 8, 0, 0], [8, 8, 8, 8, 0, 0, 8, 0, 0, 8], [0, 8, 8, 0, 8, 0, 0, 8, 0, 8], [8, 0, 0, 0, 0, 8, 8, 0, 0, 8], [0, 8, 8, 8, 8, 8, 8, 8, 0, 0], [0, 8, 8, 0, 8, 0, 8, 0, 8, 8], [8, 0, 0, 8, 0, 0, 8, 8, 0, 8], [0, 0, 0, 0, 8, 0, 0, 8, 8, 0], [8, 8, 8, 8, 0, 8, 8, 8, 8, 8], [0, 0, 0, 0, 2, 2, 0, 0, 2, 0], [0, 0, 2, 0, 2, 0, 0, 0, 2, 2], [0, 2, 2, 0, 2, 2, 2, 0, 0, 0], [0, 2, 0, 0, 0, 2, 0, 0, 2, 0], [2, 0, 0, 2, 2, 0, 0, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [2, 2, 0, 0, 2, 0, 0, 2, 0, 0], [2, 2, 0, 2, 0, 0, 2, 0, 0, 0], [2, 2, 2, 0, 0, 2, 2, 2, 0, 2], [0, 2, 0, 0, 2, 0, 0, 2, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            0,
+                            8,
+                            0,
+                            0,
+                            0,
+                            8,
+                            8,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            8,
+                            0,
+                            8,
+                            0,
+                            8,
+                            8,
+                            0,
+                            0
+                        ],
+                        [
+                            8,
+                            8,
+                            8,
+                            8,
+                            0,
+                            0,
+                            8,
+                            0,
+                            0,
+                            8
+                        ],
+                        [
+                            0,
+                            8,
+                            8,
+                            0,
+                            8,
+                            0,
+                            0,
+                            8,
+                            0,
+                            8
+                        ],
+                        [
+                            8,
+                            0,
+                            0,
+                            0,
+                            0,
+                            8,
+                            8,
+                            0,
+                            0,
+                            8
+                        ],
+                        [
+                            0,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            8,
+                            8,
+                            0,
+                            8,
+                            0,
+                            8,
+                            0,
+                            8,
+                            8
+                        ],
+                        [
+                            8,
+                            0,
+                            0,
+                            8,
+                            0,
+                            0,
+                            8,
+                            8,
+                            0,
+                            8
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            8,
+                            0,
+                            0,
+                            8,
+                            8,
+                            0
+                        ],
+                        [
+                            8,
+                            8,
+                            8,
+                            8,
+                            0,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2
+                        ],
+                        [
+                            0,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0
+                        ],
+                        [
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0
+                        ],
+                        [
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0
+                        ],
+                        [
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2
+                        ],
+                        [
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0
+                        ]
+                    ],
+                    "output": [
+                        [
+                            0,
+                            1,
+                            0,
+                            0,
+                            1,
+                            0,
+                            1,
+                            0,
+                            1,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            1,
+                            1,
+                            1,
+                            1
+                        ],
+                        [
+                            1,
+                            0,
+                            0,
+                            1,
+                            1,
+                            1,
+                            0,
+                            0,
+                            0,
+                            1
+                        ],
+                        [
+                            0,
+                            0,
+                            1,
+                            0,
+                            1,
+                            1,
+                            0,
+                            1,
+                            1,
+                            1
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            0,
+                            1
+                        ],
+                        [
+                            0,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            0
+                        ],
+                        [
+                            1,
+                            0,
+                            1,
+                            0,
+                            0,
+                            0,
+                            1,
+                            1,
+                            1,
+                            1
+                        ],
+                        [
+                            0,
+                            1,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            1,
+                            0,
+                            1
+                        ],
+                        [
+                            1,
+                            1,
+                            1,
+                            0,
+                            1,
+                            1,
+                            1,
+                            0,
+                            1,
+                            1
+                        ],
+                        [
+                            1,
+                            0,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            0,
+                            1,
+                            1
+                        ]
+                    ]
+                }
+            },
+            "Replicate 1": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 3, 0, 0, 3, 3, 3, 0, 0], [3, 3, 0, 0, 3, 0, 3, 0, 0, 3], [3, 0, 3, 3, 0, 0, 3, 0, 3, 3], [0, 3, 0, 0, 3, 3, 3, 3, 3, 3], [3, 3, 0, 3, 0, 3, 0, 3, 3, 3], [3, 0, 0, 0, 0, 0, 0, 0, 3, 0], [0, 3, 0, 3, 0, 3, 0, 3, 3, 0], [0, 0, 3, 0, 3, 0, 3, 3, 0, 0], [0, 0, 3, 3, 0, 3, 0, 0, 0, 0], [3, 3, 3, 0, 0, 3, 0, 3, 0, 0], [2, 2, 2, 2, 0, 0, 2, 2, 2, 0], [0, 2, 0, 2, 0, 2, 2, 2, 2, 2], [0, 0, 0, 0, 2, 0, 2, 0, 0, 0], [0, 0, 2, 0, 2, 2, 2, 2, 2, 0], [0, 0, 2, 0, 0, 2, 2, 0, 2, 0], [2, 0, 0, 2, 0, 2, 2, 0, 2, 0], [2, 0, 0, 0, 0, 2, 0, 0, 2, 2], [0, 2, 2, 0, 2, 2, 0, 0, 2, 2], [0, 2, 0, 2, 2, 2, 2, 0, 0, 0], [0, 2, 0, 2, 2, 2, 0, 0, 2, 2]] -> [[1, 1, 0, 1, 0, 1, 0, 0, 1, 0], [1, 0, 0, 1, 1, 1, 0, 1, 1, 0], [1, 0, 1, 1, 1, 0, 0, 0, 1, 1], [0, 1, 1, 0, 0, 0, 0, 0, 0, 1], [1, 1, 1, 1, 0, 0, 1, 1, 0, 1], [0, 0, 0, 1, 0, 1, 1, 0, 0, 0], [1, 1, 0, 1, 0, 0, 0, 1, 0, 1], [0, 1, 0, 0, 0, 1, 1, 1, 1, 1], [0, 1, 1, 0, 1, 0, 1, 0, 0, 0], [1, 0, 1, 1, 1, 0, 0, 1, 1, 1]]\nExample input-output arrays:\n[[3, 0, 0, 3, 0, 0, 0, 0, 3, 3], [0, 3, 0, 0, 3, 0, 0, 3, 0, 0], [3, 3, 3, 3, 0, 0, 0, 3, 3, 3], [0, 3, 3, 0, 3, 0, 3, 3, 0, 0], [3, 3, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3, 0, 3, 0, 0, 0, 0, 3, 3], [3, 3, 0, 0, 3, 3, 0, 0, 0, 3], [3, 3, 3, 3, 3, 0, 0, 3, 0, 3], [3, 0, 0, 0, 3, 0, 3, 0, 3, 3], [3, 3, 3, 3, 3, 0, 0, 3, 3, 0], [2, 2, 2, 0, 2, 2, 2, 0, 0, 0], [2, 2, 0, 2, 2, 2, 2, 0, 0, 2], [0, 0, 0, 2, 0, 0, 2, 2, 2, 0], [2, 0, 2, 0, 0, 2, 2, 2, 0, 2], [0, 0, 2, 2, 2, 0, 2, 2, 0, 2], [0, 2, 2, 0, 2, 0, 2, 0, 0, 0], [2, 2, 0, 0, 0, 0, 0, 0, 2, 2], [2, 0, 0, 2, 2, 2, 2, 2, 2, 0], [2, 0, 0, 0, 2, 2, 2, 0, 2, 2], [2, 0, 2, 0, 0, 2, 2, 0, 0, 2]] -> [[0, 1, 1, 1, 1, 1, 1, 0, 1, 1], [1, 0, 0, 1, 0, 1, 1, 1, 0, 1], [1, 1, 1, 0, 0, 0, 1, 0, 0, 1], [1, 1, 0, 0, 1, 1, 0, 0, 0, 1], [1, 1, 1, 1, 1, 0, 1, 1, 0, 1], [1, 0, 1, 1, 1, 0, 1, 0, 1, 1], [0, 0, 0, 0, 1, 1, 0, 0, 1, 0], [0, 1, 1, 0, 0, 1, 1, 0, 1, 1], [0, 0, 0, 0, 0, 1, 0, 0, 0, 0], [0, 1, 0, 1, 1, 1, 1, 1, 1, 1]]\nExample input-output arrays:\n[[3, 0, 0, 3, 0, 0, 0, 0, 3, 3], [0, 3, 0, 0, 3, 0, 0, 3, 0, 0], [3, 3, 3, 3, 0, 0, 0, 3, 3, 3], [0, 3, 3, 0, 3, 0, 3, 3, 0, 0], [3, 3, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3, 0, 3, 0, 0, 0, 0, 3, 3], [3, 3, 0, 0, 3, 3, 0, 0, 0, 3], [3, 3, 3, 3, 3, 0, 0, 3, 0, 3], [3, 0, 0, 0, 3, 0, 3, 0, 3, 3], [3, 3, 3, 3, 3, 0, 0, 3, 3, 0], [2, 2, 2, 0, 2, 2, 2, 0, 0, 0], [2, 2, 0, 2, 2, 2, 2, 0, 0, 2], [0, 0, 0, 2, 0, 0, 2, 2, 2, 0], [2, 0, 2, 0, 0, 2, 2, 2, 0, 2], [0, 0, 2, 2, 2, 0, 2, 2, 0, 2], [0, 2, 2, 0, 2, 0, 2, 0, 0, 0], [2, 2, 0, 0, 0, 0, 0, 0, 2, 2], [2, 0, 0, 2, 2, 2, 2, 2, 2, 0], [2, 0, 0, 0, 2, 2, 2, 0, 2, 2], [2, 0, 2, 0, 0, 2, 2, 0, 0, 2]] -> [[0, 1, 1, 1, 1, 1, 1, 0, 1, 1], [1, 0, 0, 1, 0, 1, 1, 1, 0, 1], [1, 1, 1, 0, 0, 0, 1, 0, 0, 1], [1, 1, 0, 0, 1, 1, 0, 0, 0, 1], [1, 1, 1, 1, 1, 0, 1, 1, 0, 1], [1, 0, 1, 1, 1, 0, 1, 0, 1, 1], [0, 0, 0, 0, 1, 1, 0, 0, 1, 0], [0, 1, 1, 0, 0, 1, 1, 0, 1, 1], [0, 0, 0, 0, 0, 1, 0, 0, 0, 0], [0, 1, 0, 1, 1, 1, 1, 1, 1, 1]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[6, 0, 0, 6, 0, 0, 0, 0, 6, 6], [0, 6, 0, 0, 6, 0, 0, 6, 0, 0], [6, 6, 6, 6, 0, 0, 0, 6, 6, 6], [0, 6, 6, 0, 6, 0, 6, 6, 0, 0], [6, 6, 0, 0, 0, 0, 0, 0, 0, 0], [6, 6, 0, 6, 0, 0, 0, 0, 6, 6], [6, 6, 0, 0, 6, 6, 0, 0, 0, 6], [6, 6, 6, 6, 6, 0, 0, 6, 0, 6], [6, 0, 0, 0, 6, 0, 6, 0, 6, 6], [6, 6, 6, 6, 6, 0, 0, 6, 6, 0], [2, 2, 2, 0, 2, 2, 2, 0, 0, 0], [2, 2, 0, 2, 2, 2, 2, 0, 0, 2], [0, 0, 0, 2, 0, 0, 2, 2, 2, 0], [2, 0, 2, 0, 0, 2, 2, 2, 0, 2], [0, 0, 2, 2, 2, 0, 2, 2, 0, 2], [0, 2, 2, 0, 2, 0, 2, 0, 0, 0], [2, 2, 0, 0, 0, 0, 0, 0, 2, 2], [2, 0, 0, 2, 2, 2, 2, 2, 2, 0], [2, 0, 0, 0, 2, 2, 2, 0, 2, 2], [2, 0, 2, 0, 0, 2, 2, 0, 0, 2]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            0,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0,
+                            0
+                        ],
+                        [
+                            6,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            0,
+                            0,
+                            6,
+                            6,
+                            0,
+                            0,
+                            0,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6
+                        ],
+                        [
+                            6,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6,
+                            6,
+                            0
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0
+                        ],
+                        [
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2
+                        ],
+                        [
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            0,
+                            2
+                        ],
+                        [
+                            0,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            2,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0
+                        ],
+                        [
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2
+                        ]
+                    ],
+                    "output": [
+                        [
+                            0,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            0,
+                            1,
+                            1
+                        ],
+                        [
+                            1,
+                            0,
+                            0,
+                            1,
+                            0,
+                            1,
+                            1,
+                            1,
+                            0,
+                            1
+                        ],
+                        [
+                            1,
+                            1,
+                            1,
+                            0,
+                            0,
+                            0,
+                            1,
+                            0,
+                            0,
+                            1
+                        ],
+                        [
+                            1,
+                            1,
+                            0,
+                            0,
+                            1,
+                            1,
+                            0,
+                            0,
+                            0,
+                            1
+                        ],
+                        [
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            0,
+                            1,
+                            1,
+                            0,
+                            1
+                        ],
+                        [
+                            1,
+                            0,
+                            1,
+                            1,
+                            1,
+                            0,
+                            1,
+                            0,
+                            1,
+                            1
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            1,
+                            1,
+                            0,
+                            0,
+                            1,
+                            0
+                        ],
+                        [
+                            0,
+                            1,
+                            1,
+                            0,
+                            0,
+                            1,
+                            1,
+                            0,
+                            1,
+                            1
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            1,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            1,
+                            0,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1
+                        ]
+                    ]
+                }
+            },
+            "Replicate 2": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 3, 0, 0, 3, 3, 3, 0, 0], [3, 3, 0, 0, 3, 0, 3, 0, 0, 3], [3, 0, 3, 3, 0, 0, 3, 0, 3, 3], [0, 3, 0, 0, 3, 3, 3, 3, 3, 3], [3, 3, 0, 3, 0, 3, 0, 3, 3, 3], [3, 0, 0, 0, 0, 0, 0, 0, 3, 0], [0, 3, 0, 3, 0, 3, 0, 3, 3, 0], [0, 0, 3, 0, 3, 0, 3, 3, 0, 0], [0, 0, 3, 3, 0, 3, 0, 0, 0, 0], [3, 3, 3, 0, 0, 3, 0, 3, 0, 0], [2, 2, 2, 2, 0, 0, 2, 2, 2, 0], [0, 2, 0, 2, 0, 2, 2, 2, 2, 2], [0, 0, 0, 0, 2, 0, 2, 0, 0, 0], [0, 0, 2, 0, 2, 2, 2, 2, 2, 0], [0, 0, 2, 0, 0, 2, 2, 0, 2, 0], [2, 0, 0, 2, 0, 2, 2, 0, 2, 0], [2, 0, 0, 0, 0, 2, 0, 0, 2, 2], [0, 2, 2, 0, 2, 2, 0, 0, 2, 2], [0, 2, 0, 2, 2, 2, 2, 0, 0, 0], [0, 2, 0, 2, 2, 2, 0, 0, 2, 2]] -> [[1, 1, 0, 1, 0, 1, 0, 0, 1, 0], [1, 0, 0, 1, 1, 1, 0, 1, 1, 0], [1, 0, 1, 1, 1, 0, 0, 0, 1, 1], [0, 1, 1, 0, 0, 0, 0, 0, 0, 1], [1, 1, 1, 1, 0, 0, 1, 1, 0, 1], [0, 0, 0, 1, 0, 1, 1, 0, 0, 0], [1, 1, 0, 1, 0, 0, 0, 1, 0, 1], [0, 1, 0, 0, 0, 1, 1, 1, 1, 1], [0, 1, 1, 0, 1, 0, 1, 0, 0, 0], [1, 0, 1, 1, 1, 0, 0, 1, 1, 1]]\nExample input-output arrays:\n[[0, 3, 0, 0, 0, 3, 3, 0, 0, 0], [0, 0, 3, 0, 3, 0, 3, 3, 0, 0], [3, 3, 3, 3, 0, 0, 3, 0, 0, 3], [0, 3, 3, 0, 3, 0, 0, 3, 0, 3], [3, 0, 0, 0, 0, 3, 3, 0, 0, 3], [0, 3, 3, 3, 3, 3, 3, 3, 0, 0], [0, 3, 3, 0, 3, 0, 3, 0, 3, 3], [3, 0, 0, 3, 0, 0, 3, 3, 0, 3], [0, 0, 0, 0, 3, 0, 0, 3, 3, 0], [3, 3, 3, 3, 0, 3, 3, 3, 3, 3], [0, 0, 0, 0, 2, 2, 0, 0, 2, 0], [0, 0, 2, 0, 2, 0, 0, 0, 2, 2], [0, 2, 2, 0, 2, 2, 2, 0, 0, 0], [0, 2, 0, 0, 0, 2, 0, 0, 2, 0], [2, 0, 0, 2, 2, 0, 0, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [2, 2, 0, 0, 2, 0, 0, 2, 0, 0], [2, 2, 0, 2, 0, 0, 2, 0, 0, 0], [2, 2, 2, 0, 0, 2, 2, 2, 0, 2], [0, 2, 0, 0, 2, 0, 0, 2, 0, 0]] -> [[0, 1, 0, 0, 1, 0, 1, 0, 1, 0], [0, 0, 0, 0, 0, 0, 1, 1, 1, 1], [1, 0, 0, 1, 1, 1, 0, 0, 0, 1], [0, 0, 1, 0, 1, 1, 0, 1, 1, 1], [0, 0, 0, 1, 1, 1, 1, 1, 0, 1], [0, 1, 1, 1, 1, 1, 1, 1, 1, 0], [1, 0, 1, 0, 0, 0, 1, 1, 1, 1], [0, 1, 0, 0, 0, 0, 0, 1, 0, 1], [1, 1, 1, 0, 1, 1, 1, 0, 1, 1], [1, 0, 1, 1, 1, 1, 1, 0, 1, 1]]\nExample input-output arrays:\n[[0, 0, 0, 3, 3, 0, 3, 0, 0, 3], [3, 3, 3, 3, 0, 0, 0, 0, 3, 0], [0, 0, 3, 3, 0, 3, 0, 3, 3, 3], [0, 3, 3, 3, 3, 0, 0, 0, 3, 3], [3, 0, 3, 0, 0, 3, 3, 0, 3, 0], [3, 3, 3, 0, 3, 3, 0, 3, 3, 0], [0, 3, 3, 3, 3, 3, 3, 3, 0, 3], [3, 3, 3, 3, 3, 0, 3, 0, 3, 3], [3, 3, 0, 3, 0, 0, 3, 0, 0, 0], [0, 3, 3, 0, 0, 0, 3, 3, 0, 3], [2, 2, 2, 0, 2, 0, 2, 0, 2, 0], [0, 2, 2, 2, 0, 2, 0, 2, 0, 2], [2, 2, 0, 2, 2, 0, 2, 0, 2, 0], [0, 2, 0, 0, 0, 2, 0, 2, 2, 0], [2, 0, 0, 2, 2, 0, 2, 0, 0, 0], [0, 0, 2, 2, 0, 2, 2, 0, 2, 0], [0, 0, 2, 2, 2, 0, 2, 2, 2, 0], [2, 2, 2, 2, 0, 0, 2, 0, 0, 2], [2, 0, 2, 2, 0, 2, 2, 0, 2, 0], [0, 2, 2, 2, 2, 0, 0, 2, 2, 0]] -> [[1, 1, 1, 1, 0, 0, 0, 0, 1, 1], [1, 0, 0, 0, 0, 1, 0, 1, 1, 1], [1, 1, 1, 0, 1, 1, 1, 1, 0, 1], [0, 0, 1, 1, 1, 1, 0, 1, 0, 1], [0, 0, 1, 1, 1, 1, 0, 0, 1, 0], [1, 1, 0, 1, 1, 0, 1, 1, 0, 0], [0, 1, 0, 0, 0, 1, 0, 0, 1, 1], [0, 0, 0, 0, 1, 0, 0, 0, 1, 0], [0, 1, 1, 0, 0, 1, 0, 0, 1, 0], [0, 0, 0, 1, 1, 0, 1, 0, 1, 1]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 2, 2, 0, 2, 0, 2, 0, 2, 0], [0, 2, 2, 2, 0, 2, 0, 2, 0, 2], [2, 2, 0, 2, 2, 0, 2, 0, 2, 0], [0, 2, 0, 0, 0, 2, 0, 2, 2, 0], [2, 0, 0, 2, 2, 0, 2, 0, 0, 0], [0, 0, 2, 2, 0, 2, 2, 0, 2, 0], [0, 0, 2, 2, 2, 0, 2, 2, 2, 0], [2, 2, 2, 2, 0, 0, 2, 0, 0, 2], [2, 0, 2, 2, 0, 2, 2, 0, 2, 0], [0, 2, 2, 2, 2, 0, 0, 2, 2, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
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+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
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+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
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+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0
+                        ],
+                        [
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0
+                        ],
+                        [
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+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            2,
+                            2,
+                            0
+                        ],
+                        [
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+                            0,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
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+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            0,
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+                        ],
+                        [
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+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
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+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            2
+                        ],
+                        [
+                            2,
+                            0,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0
+                        ],
+                        [
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0
+                        ]
+                    ],
+                    "output": [
+                        [
+                            1,
+                            1,
+                            1,
+                            0,
+                            1,
+                            0,
+                            1,
+                            0,
+                            1,
+                            0
+                        ],
+                        [
+                            0,
+                            1,
+                            1,
+                            1,
+                            0,
+                            1,
+                            0,
+                            1,
+                            0,
+                            1
+                        ],
+                        [
+                            1,
+                            1,
+                            0,
+                            1,
+                            1,
+                            0,
+                            1,
+                            0,
+                            1,
+                            0
+                        ],
+                        [
+                            0,
+                            1,
+                            0,
+                            0,
+                            0,
+                            1,
+                            0,
+                            1,
+                            1,
+                            0
+                        ],
+                        [
+                            1,
+                            0,
+                            0,
+                            1,
+                            1,
+                            0,
+                            1,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            1,
+                            1,
+                            0,
+                            1,
+                            1,
+                            0,
+                            1,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            1,
+                            1,
+                            1,
+                            0,
+                            1,
+                            1,
+                            1,
+                            0
+                        ],
+                        [
+                            1,
+                            1,
+                            1,
+                            1,
+                            0,
+                            0,
+                            1,
+                            0,
+                            0,
+                            1
+                        ],
+                        [
+                            1,
+                            0,
+                            1,
+                            1,
+                            0,
+                            1,
+                            1,
+                            0,
+                            1,
+                            0
+                        ],
+                        [
+                            0,
+                            1,
+                            1,
+                            1,
+                            1,
+                            0,
+                            0,
+                            1,
+                            1,
+                            0
+                        ]
+                    ]
+                }
+            },
+            "Replicate 3": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[3, 0, 0, 3, 0, 0, 0, 0, 3, 3], [0, 3, 0, 0, 3, 0, 0, 3, 0, 0], [3, 3, 3, 3, 0, 0, 0, 3, 3, 3], [0, 3, 3, 0, 3, 0, 3, 3, 0, 0], [3, 3, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3, 0, 3, 0, 0, 0, 0, 3, 3], [3, 3, 0, 0, 3, 3, 0, 0, 0, 3], [3, 3, 3, 3, 3, 0, 0, 3, 0, 3], [3, 0, 0, 0, 3, 0, 3, 0, 3, 3], [3, 3, 3, 3, 3, 0, 0, 3, 3, 0], [2, 2, 2, 0, 2, 2, 2, 0, 0, 0], [2, 2, 0, 2, 2, 2, 2, 0, 0, 2], [0, 0, 0, 2, 0, 0, 2, 2, 2, 0], [2, 0, 2, 0, 0, 2, 2, 2, 0, 2], [0, 0, 2, 2, 2, 0, 2, 2, 0, 2], [0, 2, 2, 0, 2, 0, 2, 0, 0, 0], [2, 2, 0, 0, 0, 0, 0, 0, 2, 2], [2, 0, 0, 2, 2, 2, 2, 2, 2, 0], [2, 0, 0, 0, 2, 2, 2, 0, 2, 2], [2, 0, 2, 0, 0, 2, 2, 0, 0, 2]] -> [[0, 1, 1, 1, 1, 1, 1, 0, 1, 1], [1, 0, 0, 1, 0, 1, 1, 1, 0, 1], [1, 1, 1, 0, 0, 0, 1, 0, 0, 1], [1, 1, 0, 0, 1, 1, 0, 0, 0, 1], [1, 1, 1, 1, 1, 0, 1, 1, 0, 1], [1, 0, 1, 1, 1, 0, 1, 0, 1, 1], [0, 0, 0, 0, 1, 1, 0, 0, 1, 0], [0, 1, 1, 0, 0, 1, 1, 0, 1, 1], [0, 0, 0, 0, 0, 1, 0, 0, 0, 0], [0, 1, 0, 1, 1, 1, 1, 1, 1, 1]]\nExample input-output arrays:\n[[0, 0, 0, 3, 3, 0, 3, 0, 0, 3], [3, 3, 3, 3, 0, 0, 0, 0, 3, 0], [0, 0, 3, 3, 0, 3, 0, 3, 3, 3], [0, 3, 3, 3, 3, 0, 0, 0, 3, 3], [3, 0, 3, 0, 0, 3, 3, 0, 3, 0], [3, 3, 3, 0, 3, 3, 0, 3, 3, 0], [0, 3, 3, 3, 3, 3, 3, 3, 0, 3], [3, 3, 3, 3, 3, 0, 3, 0, 3, 3], [3, 3, 0, 3, 0, 0, 3, 0, 0, 0], [0, 3, 3, 0, 0, 0, 3, 3, 0, 3], [2, 2, 2, 0, 2, 0, 2, 0, 2, 0], [0, 2, 2, 2, 0, 2, 0, 2, 0, 2], [2, 2, 0, 2, 2, 0, 2, 0, 2, 0], [0, 2, 0, 0, 0, 2, 0, 2, 2, 0], [2, 0, 0, 2, 2, 0, 2, 0, 0, 0], [0, 0, 2, 2, 0, 2, 2, 0, 2, 0], [0, 0, 2, 2, 2, 0, 2, 2, 2, 0], [2, 2, 2, 2, 0, 0, 2, 0, 0, 2], [2, 0, 2, 2, 0, 2, 2, 0, 2, 0], [0, 2, 2, 2, 2, 0, 0, 2, 2, 0]] -> [[1, 1, 1, 1, 0, 0, 0, 0, 1, 1], [1, 0, 0, 0, 0, 1, 0, 1, 1, 1], [1, 1, 1, 0, 1, 1, 1, 1, 0, 1], [0, 0, 1, 1, 1, 1, 0, 1, 0, 1], [0, 0, 1, 1, 1, 1, 0, 0, 1, 0], [1, 1, 0, 1, 1, 0, 1, 1, 0, 0], [0, 1, 0, 0, 0, 1, 0, 0, 1, 1], [0, 0, 0, 0, 1, 0, 0, 0, 1, 0], [0, 1, 1, 0, 0, 1, 0, 0, 1, 0], [0, 0, 0, 1, 1, 0, 1, 0, 1, 1]]\nExample input-output arrays:\n[[0, 3, 0, 0, 0, 3, 3, 0, 0, 0], [0, 0, 3, 0, 3, 0, 3, 3, 0, 0], [3, 3, 3, 3, 0, 0, 3, 0, 0, 3], [0, 3, 3, 0, 3, 0, 0, 3, 0, 3], [3, 0, 0, 0, 0, 3, 3, 0, 0, 3], [0, 3, 3, 3, 3, 3, 3, 3, 0, 0], [0, 3, 3, 0, 3, 0, 3, 0, 3, 3], [3, 0, 0, 3, 0, 0, 3, 3, 0, 3], [0, 0, 0, 0, 3, 0, 0, 3, 3, 0], [3, 3, 3, 3, 0, 3, 3, 3, 3, 3], [0, 0, 0, 0, 2, 2, 0, 0, 2, 0], [0, 0, 2, 0, 2, 0, 0, 0, 2, 2], [0, 2, 2, 0, 2, 2, 2, 0, 0, 0], [0, 2, 0, 0, 0, 2, 0, 0, 2, 0], [2, 0, 0, 2, 2, 0, 0, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [2, 2, 0, 0, 2, 0, 0, 2, 0, 0], [2, 2, 0, 2, 0, 0, 2, 0, 0, 0], [2, 2, 2, 0, 0, 2, 2, 2, 0, 2], [0, 2, 0, 0, 2, 0, 0, 2, 0, 0]] -> [[0, 1, 0, 0, 1, 0, 1, 0, 1, 0], [0, 0, 0, 0, 0, 0, 1, 1, 1, 1], [1, 0, 0, 1, 1, 1, 0, 0, 0, 1], [0, 0, 1, 0, 1, 1, 0, 1, 1, 1], [0, 0, 0, 1, 1, 1, 1, 1, 0, 1], [0, 1, 1, 1, 1, 1, 1, 1, 1, 0], [1, 0, 1, 0, 0, 0, 1, 1, 1, 1], [0, 1, 0, 0, 0, 0, 0, 1, 0, 1], [1, 1, 1, 0, 1, 1, 1, 0, 1, 1], [1, 0, 1, 1, 1, 1, 1, 0, 1, 1]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [0, 0, 0, 0, 2, 2, 0, 0, 2, 0], [0, 0, 2, 0, 2, 0, 0, 0, 2, 2], [0, 2, 2, 0, 2, 2, 2, 0, 0, 0], [0, 2, 0, 0, 0, 2, 0, 0, 2, 0], [2, 0, 0, 2, 2, 0, 0, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [2, 2, 0, 0, 2, 0, 0, 2, 0, 0], [2, 2, 0, 2, 0, 0, 2, 0, 0, 0], [2, 2, 2, 0, 0, 2, 2, 2, 0, 2], [0, 2, 0, 0, 2, 0, 0, 2, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2
+                        ],
+                        [
+                            0,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0
+                        ],
+                        [
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0
+                        ],
+                        [
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0
+                        ],
+                        [
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2
+                        ],
+                        [
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0
+                        ]
+                    ],
+                    "output": [
+                        [
+                            1,
+                            1,
+                            1,
+                            1,
+                            0,
+                            0,
+                            1,
+                            1,
+                            0,
+                            1
+                        ],
+                        [
+                            1,
+                            1,
+                            0,
+                            1,
+                            0,
+                            1,
+                            1,
+                            1,
+                            0,
+                            0
+                        ],
+                        [
+                            1,
+                            0,
+                            0,
+                            1,
+                            0,
+                            0,
+                            0,
+                            1,
+                            1,
+                            1
+                        ],
+                        [
+                            1,
+                            0,
+                            1,
+                            1,
+                            1,
+                            0,
+                            1,
+                            1,
+                            0,
+                            1
+                        ],
+                        [
+                            0,
+                            1,
+                            1,
+                            0,
+                            0,
+                            1,
+                            1,
+                            0,
+                            1,
+                            1
+                        ],
+                        [
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            0,
+                            1
+                        ],
+                        [
+                            0,
+                            0,
+                            1,
+                            1,
+                            0,
+                            1,
+                            1,
+                            0,
+                            1,
+                            1
+                        ],
+                        [
+                            0,
+                            0,
+                            1,
+                            0,
+                            1,
+                            1,
+                            0,
+                            1,
+                            1,
+                            1
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            1,
+                            1,
+                            0,
+                            0,
+                            0,
+                            1,
+                            0
+                        ],
+                        [
+                            1,
+                            0,
+                            1,
+                            1,
+                            0,
+                            1,
+                            1,
+                            0,
+                            1,
+                            1
+                        ]
+                    ]
+                }
+            },
+            "Replicate 4": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 0, 3, 3, 0, 3, 0, 0, 3], [3, 3, 3, 3, 0, 0, 0, 0, 3, 0], [0, 0, 3, 3, 0, 3, 0, 3, 3, 3], [0, 3, 3, 3, 3, 0, 0, 0, 3, 3], [3, 0, 3, 0, 0, 3, 3, 0, 3, 0], [3, 3, 3, 0, 3, 3, 0, 3, 3, 0], [0, 3, 3, 3, 3, 3, 3, 3, 0, 3], [3, 3, 3, 3, 3, 0, 3, 0, 3, 3], [3, 3, 0, 3, 0, 0, 3, 0, 0, 0], [0, 3, 3, 0, 0, 0, 3, 3, 0, 3], [2, 2, 2, 0, 2, 0, 2, 0, 2, 0], [0, 2, 2, 2, 0, 2, 0, 2, 0, 2], [2, 2, 0, 2, 2, 0, 2, 0, 2, 0], [0, 2, 0, 0, 0, 2, 0, 2, 2, 0], [2, 0, 0, 2, 2, 0, 2, 0, 0, 0], [0, 0, 2, 2, 0, 2, 2, 0, 2, 0], [0, 0, 2, 2, 2, 0, 2, 2, 2, 0], [2, 2, 2, 2, 0, 0, 2, 0, 0, 2], [2, 0, 2, 2, 0, 2, 2, 0, 2, 0], [0, 2, 2, 2, 2, 0, 0, 2, 2, 0]] -> [[1, 1, 1, 1, 0, 0, 0, 0, 1, 1], [1, 0, 0, 0, 0, 1, 0, 1, 1, 1], [1, 1, 1, 0, 1, 1, 1, 1, 0, 1], [0, 0, 1, 1, 1, 1, 0, 1, 0, 1], [0, 0, 1, 1, 1, 1, 0, 0, 1, 0], [1, 1, 0, 1, 1, 0, 1, 1, 0, 0], [0, 1, 0, 0, 0, 1, 0, 0, 1, 1], [0, 0, 0, 0, 1, 0, 0, 0, 1, 0], [0, 1, 1, 0, 0, 1, 0, 0, 1, 0], [0, 0, 0, 1, 1, 0, 1, 0, 1, 1]]\nExample input-output arrays:\n[[3, 0, 0, 3, 0, 0, 0, 0, 3, 3], [0, 3, 0, 0, 3, 0, 0, 3, 0, 0], [3, 3, 3, 3, 0, 0, 0, 3, 3, 3], [0, 3, 3, 0, 3, 0, 3, 3, 0, 0], [3, 3, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3, 0, 3, 0, 0, 0, 0, 3, 3], [3, 3, 0, 0, 3, 3, 0, 0, 0, 3], [3, 3, 3, 3, 3, 0, 0, 3, 0, 3], [3, 0, 0, 0, 3, 0, 3, 0, 3, 3], [3, 3, 3, 3, 3, 0, 0, 3, 3, 0], [2, 2, 2, 0, 2, 2, 2, 0, 0, 0], [2, 2, 0, 2, 2, 2, 2, 0, 0, 2], [0, 0, 0, 2, 0, 0, 2, 2, 2, 0], [2, 0, 2, 0, 0, 2, 2, 2, 0, 2], [0, 0, 2, 2, 2, 0, 2, 2, 0, 2], [0, 2, 2, 0, 2, 0, 2, 0, 0, 0], [2, 2, 0, 0, 0, 0, 0, 0, 2, 2], [2, 0, 0, 2, 2, 2, 2, 2, 2, 0], [2, 0, 0, 0, 2, 2, 2, 0, 2, 2], [2, 0, 2, 0, 0, 2, 2, 0, 0, 2]] -> [[0, 1, 1, 1, 1, 1, 1, 0, 1, 1], [1, 0, 0, 1, 0, 1, 1, 1, 0, 1], [1, 1, 1, 0, 0, 0, 1, 0, 0, 1], [1, 1, 0, 0, 1, 1, 0, 0, 0, 1], [1, 1, 1, 1, 1, 0, 1, 1, 0, 1], [1, 0, 1, 1, 1, 0, 1, 0, 1, 1], [0, 0, 0, 0, 1, 1, 0, 0, 1, 0], [0, 1, 1, 0, 0, 1, 1, 0, 1, 1], [0, 0, 0, 0, 0, 1, 0, 0, 0, 0], [0, 1, 0, 1, 1, 1, 1, 1, 1, 1]]\nExample input-output arrays:\n[[3, 0, 0, 3, 0, 0, 0, 0, 3, 3], [0, 3, 0, 0, 3, 0, 0, 3, 0, 0], [3, 3, 3, 3, 0, 0, 0, 3, 3, 3], [0, 3, 3, 0, 3, 0, 3, 3, 0, 0], [3, 3, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3, 0, 3, 0, 0, 0, 0, 3, 3], [3, 3, 0, 0, 3, 3, 0, 0, 0, 3], [3, 3, 3, 3, 3, 0, 0, 3, 0, 3], [3, 0, 0, 0, 3, 0, 3, 0, 3, 3], [3, 3, 3, 3, 3, 0, 0, 3, 3, 0], [2, 2, 2, 0, 2, 2, 2, 0, 0, 0], [2, 2, 0, 2, 2, 2, 2, 0, 0, 2], [0, 0, 0, 2, 0, 0, 2, 2, 2, 0], [2, 0, 2, 0, 0, 2, 2, 2, 0, 2], [0, 0, 2, 2, 2, 0, 2, 2, 0, 2], [0, 2, 2, 0, 2, 0, 2, 0, 0, 0], [2, 2, 0, 0, 0, 0, 0, 0, 2, 2], [2, 0, 0, 2, 2, 2, 2, 2, 2, 0], [2, 0, 0, 0, 2, 2, 2, 0, 2, 2], [2, 0, 2, 0, 0, 2, 2, 0, 0, 2]] -> [[0, 1, 1, 1, 1, 1, 1, 0, 1, 1], [1, 0, 0, 1, 0, 1, 1, 1, 0, 1], [1, 1, 1, 0, 0, 0, 1, 0, 0, 1], [1, 1, 0, 0, 1, 1, 0, 0, 0, 1], [1, 1, 1, 1, 1, 0, 1, 1, 0, 1], [1, 0, 1, 1, 1, 0, 1, 0, 1, 1], [0, 0, 0, 0, 1, 1, 0, 0, 1, 0], [0, 1, 1, 0, 0, 1, 1, 0, 1, 1], [0, 0, 0, 0, 0, 1, 0, 0, 0, 0], [0, 1, 0, 1, 1, 1, 1, 1, 1, 1]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[6, 0, 0, 6, 0, 0, 0, 0, 6, 6], [0, 6, 0, 0, 6, 0, 0, 6, 0, 0], [6, 6, 6, 6, 0, 0, 0, 6, 6, 6], [0, 6, 6, 0, 6, 0, 6, 6, 0, 0], [6, 6, 0, 0, 0, 0, 0, 0, 0, 0], [6, 6, 0, 6, 0, 0, 0, 0, 6, 6], [6, 6, 0, 0, 6, 6, 0, 0, 0, 6], [6, 6, 6, 6, 6, 0, 0, 6, 0, 6], [6, 0, 0, 0, 6, 0, 6, 0, 6, 6], [6, 6, 6, 6, 6, 0, 0, 6, 6, 0], [2, 2, 2, 0, 2, 2, 2, 0, 0, 0], [2, 2, 0, 2, 2, 2, 2, 0, 0, 2], [0, 0, 0, 2, 0, 0, 2, 2, 2, 0], [2, 0, 2, 0, 0, 2, 2, 2, 0, 2], [0, 0, 2, 2, 2, 0, 2, 2, 0, 2], [0, 2, 2, 0, 2, 0, 2, 0, 0, 0], [2, 2, 0, 0, 0, 0, 0, 0, 2, 2], [2, 0, 0, 2, 2, 2, 2, 2, 2, 0], [2, 0, 0, 0, 2, 2, 2, 0, 2, 2], [2, 0, 2, 0, 0, 2, 2, 0, 0, 2]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            0,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0,
+                            0
+                        ],
+                        [
+                            6,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            0,
+                            0,
+                            6,
+                            6,
+                            0,
+                            0,
+                            0,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6
+                        ],
+                        [
+                            6,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6,
+                            6,
+                            0
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0
+                        ],
+                        [
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2
+                        ],
+                        [
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            0,
+                            2
+                        ],
+                        [
+                            0,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            2,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0
+                        ],
+                        [
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2
+                        ]
+                    ],
+                    "output": [
+                        [
+                            0,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            0,
+                            1,
+                            1
+                        ],
+                        [
+                            1,
+                            0,
+                            0,
+                            1,
+                            0,
+                            1,
+                            1,
+                            1,
+                            0,
+                            1
+                        ],
+                        [
+                            1,
+                            1,
+                            1,
+                            0,
+                            0,
+                            0,
+                            1,
+                            0,
+                            0,
+                            1
+                        ],
+                        [
+                            1,
+                            1,
+                            0,
+                            0,
+                            1,
+                            1,
+                            0,
+                            0,
+                            0,
+                            1
+                        ],
+                        [
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            0,
+                            1,
+                            1,
+                            0,
+                            1
+                        ],
+                        [
+                            1,
+                            0,
+                            1,
+                            1,
+                            1,
+                            0,
+                            1,
+                            0,
+                            1,
+                            1
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            1,
+                            1,
+                            0,
+                            0,
+                            1,
+                            0
+                        ],
+                        [
+                            0,
+                            1,
+                            1,
+                            0,
+                            0,
+                            1,
+                            1,
+                            0,
+                            1,
+                            1
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            1,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            1,
+                            0,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1
+                        ]
+                    ]
+                }
+            }
+        },
+        "L3": {
+            "Replicate 0": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[3, 0, 0, 3, 0, 0, 0, 0, 3, 3], [0, 3, 0, 0, 3, 0, 0, 3, 0, 0], [3, 3, 3, 3, 0, 0, 0, 3, 3, 3], [0, 3, 3, 0, 3, 0, 3, 3, 0, 0], [3, 3, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3, 0, 3, 0, 0, 0, 0, 3, 3], [3, 3, 0, 0, 3, 3, 0, 0, 0, 3], [3, 3, 3, 3, 3, 0, 0, 3, 0, 3], [3, 0, 0, 0, 3, 0, 3, 0, 3, 3], [3, 3, 3, 3, 3, 0, 0, 3, 3, 0], [2, 2, 2, 0, 2, 2, 2, 0, 0, 0], [2, 2, 0, 2, 2, 2, 2, 0, 0, 2], [0, 0, 0, 2, 0, 0, 2, 2, 2, 0], [2, 0, 2, 0, 0, 2, 2, 2, 0, 2], [0, 0, 2, 2, 2, 0, 2, 2, 0, 2], [0, 2, 2, 0, 2, 0, 2, 0, 0, 0], [2, 2, 0, 0, 0, 0, 0, 0, 2, 2], [2, 0, 0, 2, 2, 2, 2, 2, 2, 0], [2, 0, 0, 0, 2, 2, 2, 0, 2, 2], [2, 0, 2, 0, 0, 2, 2, 0, 0, 2]] -> [[0, 1, 1, 1, 1, 1, 1, 0, 1, 1], [1, 0, 0, 1, 0, 1, 1, 1, 0, 1], [1, 1, 1, 0, 0, 0, 1, 0, 0, 1], [1, 1, 0, 0, 1, 1, 0, 0, 0, 1], [1, 1, 1, 1, 1, 0, 1, 1, 0, 1], [1, 0, 1, 1, 1, 0, 1, 0, 1, 1], [0, 0, 0, 0, 1, 1, 0, 0, 1, 0], [0, 1, 1, 0, 0, 1, 1, 0, 1, 1], [0, 0, 0, 0, 0, 1, 0, 0, 0, 0], [0, 1, 0, 1, 1, 1, 1, 1, 1, 1]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[6, 0, 0, 6, 0, 0, 0, 0, 6, 6], [0, 6, 0, 0, 6, 0, 0, 6, 0, 0], [6, 6, 6, 6, 0, 0, 0, 6, 6, 6], [0, 6, 6, 0, 6, 0, 6, 6, 0, 0], [6, 6, 0, 0, 0, 0, 0, 0, 0, 0], [6, 6, 0, 6, 0, 0, 0, 0, 6, 6], [6, 6, 0, 0, 6, 6, 0, 0, 0, 6], [6, 6, 6, 6, 6, 0, 0, 6, 0, 6], [6, 0, 0, 0, 6, 0, 6, 0, 6, 6], [6, 6, 6, 6, 6, 0, 0, 6, 6, 0], [2, 2, 2, 0, 2, 2, 2, 0, 0, 0], [2, 2, 0, 2, 2, 2, 2, 0, 0, 2], [0, 0, 0, 2, 0, 0, 2, 2, 2, 0], [2, 0, 2, 0, 0, 2, 2, 2, 0, 2], [0, 0, 2, 2, 2, 0, 2, 2, 0, 2], [0, 2, 2, 0, 2, 0, 2, 0, 0, 0], [2, 2, 0, 0, 0, 0, 0, 0, 2, 2], [2, 0, 0, 2, 2, 2, 2, 2, 2, 0], [2, 0, 0, 0, 2, 2, 2, 0, 2, 2], [2, 0, 2, 0, 0, 2, 2, 0, 0, 2]] -> [[0, 1, 1, 1, 1, 1, 1, 0, 1, 1], [1, 0, 0, 1, 0, 1, 1, 1, 0, 1], [1, 1, 1, 0, 0, 0, 1, 0, 0, 1], [1, 1, 0, 0, 1, 1, 0, 0, 0, 1], [1, 1, 1, 1, 1, 0, 1, 1, 0, 1], [1, 0, 1, 1, 1, 0, 1, 0, 1, 1], [0, 0, 0, 0, 1, 1, 0, 0, 1, 0], [0, 1, 1, 0, 0, 1, 1, 0, 1, 1], [0, 0, 0, 0, 0, 1, 0, 0, 0, 0], [0, 1, 0, 1, 1, 1, 1, 1, 1, 1]]\nExample input-output arrays:\n[[0, 0, 3, 0, 0, 3, 3, 3, 0, 0], [3, 3, 0, 0, 3, 0, 3, 0, 0, 3], [3, 0, 3, 3, 0, 0, 3, 0, 3, 3], [0, 3, 0, 0, 3, 3, 3, 3, 3, 3], [3, 3, 0, 3, 0, 3, 0, 3, 3, 3], [3, 0, 0, 0, 0, 0, 0, 0, 3, 0], [0, 3, 0, 3, 0, 3, 0, 3, 3, 0], [0, 0, 3, 0, 3, 0, 3, 3, 0, 0], [0, 0, 3, 3, 0, 3, 0, 0, 0, 0], [3, 3, 3, 0, 0, 3, 0, 3, 0, 0], [2, 2, 2, 2, 0, 0, 2, 2, 2, 0], [0, 2, 0, 2, 0, 2, 2, 2, 2, 2], [0, 0, 0, 0, 2, 0, 2, 0, 0, 0], [0, 0, 2, 0, 2, 2, 2, 2, 2, 0], [0, 0, 2, 0, 0, 2, 2, 0, 2, 0], [2, 0, 0, 2, 0, 2, 2, 0, 2, 0], [2, 0, 0, 0, 0, 2, 0, 0, 2, 2], [0, 2, 2, 0, 2, 2, 0, 0, 2, 2], [0, 2, 0, 2, 2, 2, 2, 0, 0, 0], [0, 2, 0, 2, 2, 2, 0, 0, 2, 2]] -> [[1, 1, 0, 1, 0, 1, 0, 0, 1, 0], [1, 0, 0, 1, 1, 1, 0, 1, 1, 0], [1, 0, 1, 1, 1, 0, 0, 0, 1, 1], [0, 1, 1, 0, 0, 0, 0, 0, 0, 1], [1, 1, 1, 1, 0, 0, 1, 1, 0, 1], [0, 0, 0, 1, 0, 1, 1, 0, 0, 0], [1, 1, 0, 1, 0, 0, 0, 1, 0, 1], [0, 1, 0, 0, 0, 1, 1, 1, 1, 1], [0, 1, 1, 0, 1, 0, 1, 0, 0, 0], [1, 0, 1, 1, 1, 0, 0, 1, 1, 1]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 3, 0, 0, 3, 3, 3, 0, 0], [3, 3, 0, 0, 3, 0, 3, 0, 0, 3], [3, 0, 3, 3, 0, 0, 3, 0, 3, 3], [0, 3, 0, 0, 3, 3, 3, 3, 3, 3], [3, 3, 0, 3, 0, 3, 0, 3, 3, 3], [3, 0, 0, 0, 0, 0, 0, 0, 3, 0], [0, 3, 0, 3, 0, 3, 0, 3, 3, 0], [0, 0, 3, 0, 3, 0, 3, 3, 0, 0], [0, 0, 3, 3, 0, 3, 0, 0, 0, 0], [3, 3, 3, 0, 0, 3, 0, 3, 0, 0], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0
+                        ],
+                        [
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3
+                        ],
+                        [
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3
+                        ],
+                        [
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0
+                        ],
+                        [
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ]
+                    ],
+                    "output": [
+                        [
+                            1,
+                            1,
+                            0,
+                            1,
+                            1,
+                            0,
+                            0,
+                            0,
+                            1,
+                            1
+                        ],
+                        [
+                            0,
+                            0,
+                            1,
+                            1,
+                            0,
+                            1,
+                            0,
+                            1,
+                            1,
+                            0
+                        ],
+                        [
+                            0,
+                            1,
+                            0,
+                            0,
+                            1,
+                            1,
+                            0,
+                            1,
+                            0,
+                            0
+                        ],
+                        [
+                            1,
+                            0,
+                            1,
+                            1,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            1,
+                            0,
+                            1,
+                            0,
+                            1,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            0,
+                            1
+                        ],
+                        [
+                            1,
+                            0,
+                            1,
+                            0,
+                            1,
+                            0,
+                            1,
+                            0,
+                            0,
+                            1
+                        ],
+                        [
+                            1,
+                            1,
+                            0,
+                            1,
+                            0,
+                            1,
+                            0,
+                            0,
+                            1,
+                            1
+                        ],
+                        [
+                            1,
+                            1,
+                            0,
+                            0,
+                            1,
+                            0,
+                            1,
+                            1,
+                            1,
+                            1
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            1,
+                            1,
+                            0,
+                            1,
+                            0,
+                            1,
+                            1
+                        ]
+                    ]
+                }
+            },
+            "Replicate 1": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 0, 3, 3, 0, 3, 0, 0, 3], [3, 3, 3, 3, 0, 0, 0, 0, 3, 0], [0, 0, 3, 3, 0, 3, 0, 3, 3, 3], [0, 3, 3, 3, 3, 0, 0, 0, 3, 3], [3, 0, 3, 0, 0, 3, 3, 0, 3, 0], [3, 3, 3, 0, 3, 3, 0, 3, 3, 0], [0, 3, 3, 3, 3, 3, 3, 3, 0, 3], [3, 3, 3, 3, 3, 0, 3, 0, 3, 3], [3, 3, 0, 3, 0, 0, 3, 0, 0, 0], [0, 3, 3, 0, 0, 0, 3, 3, 0, 3], [2, 2, 2, 0, 2, 0, 2, 0, 2, 0], [0, 2, 2, 2, 0, 2, 0, 2, 0, 2], [2, 2, 0, 2, 2, 0, 2, 0, 2, 0], [0, 2, 0, 0, 0, 2, 0, 2, 2, 0], [2, 0, 0, 2, 2, 0, 2, 0, 0, 0], [0, 0, 2, 2, 0, 2, 2, 0, 2, 0], [0, 0, 2, 2, 2, 0, 2, 2, 2, 0], [2, 2, 2, 2, 0, 0, 2, 0, 0, 2], [2, 0, 2, 2, 0, 2, 2, 0, 2, 0], [0, 2, 2, 2, 2, 0, 0, 2, 2, 0]] -> [[1, 1, 1, 1, 0, 0, 0, 0, 1, 1], [1, 0, 0, 0, 0, 1, 0, 1, 1, 1], [1, 1, 1, 0, 1, 1, 1, 1, 0, 1], [0, 0, 1, 1, 1, 1, 0, 1, 0, 1], [0, 0, 1, 1, 1, 1, 0, 0, 1, 0], [1, 1, 0, 1, 1, 0, 1, 1, 0, 0], [0, 1, 0, 0, 0, 1, 0, 0, 1, 1], [0, 0, 0, 0, 1, 0, 0, 0, 1, 0], [0, 1, 1, 0, 0, 1, 0, 0, 1, 0], [0, 0, 0, 1, 1, 0, 1, 0, 1, 1]]\nExample input-output arrays:\n[[0, 0, 0, 3, 3, 0, 3, 0, 0, 3], [3, 3, 3, 3, 0, 0, 0, 0, 3, 0], [0, 0, 3, 3, 0, 3, 0, 3, 3, 3], [0, 3, 3, 3, 3, 0, 0, 0, 3, 3], [3, 0, 3, 0, 0, 3, 3, 0, 3, 0], [3, 3, 3, 0, 3, 3, 0, 3, 3, 0], [0, 3, 3, 3, 3, 3, 3, 3, 0, 3], [3, 3, 3, 3, 3, 0, 3, 0, 3, 3], [3, 3, 0, 3, 0, 0, 3, 0, 0, 0], [0, 3, 3, 0, 0, 0, 3, 3, 0, 3], [2, 2, 2, 0, 2, 0, 2, 0, 2, 0], [0, 2, 2, 2, 0, 2, 0, 2, 0, 2], [2, 2, 0, 2, 2, 0, 2, 0, 2, 0], [0, 2, 0, 0, 0, 2, 0, 2, 2, 0], [2, 0, 0, 2, 2, 0, 2, 0, 0, 0], [0, 0, 2, 2, 0, 2, 2, 0, 2, 0], [0, 0, 2, 2, 2, 0, 2, 2, 2, 0], [2, 2, 2, 2, 0, 0, 2, 0, 0, 2], [2, 0, 2, 2, 0, 2, 2, 0, 2, 0], [0, 2, 2, 2, 2, 0, 0, 2, 2, 0]] -> [[1, 1, 1, 1, 0, 0, 0, 0, 1, 1], [1, 0, 0, 0, 0, 1, 0, 1, 1, 1], [1, 1, 1, 0, 1, 1, 1, 1, 0, 1], [0, 0, 1, 1, 1, 1, 0, 1, 0, 1], [0, 0, 1, 1, 1, 1, 0, 0, 1, 0], [1, 1, 0, 1, 1, 0, 1, 1, 0, 0], [0, 1, 0, 0, 0, 1, 0, 0, 1, 1], [0, 0, 0, 0, 1, 0, 0, 0, 1, 0], [0, 1, 1, 0, 0, 1, 0, 0, 1, 0], [0, 0, 0, 1, 1, 0, 1, 0, 1, 1]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 2, 2, 0, 2, 0, 2, 0, 2, 0], [0, 2, 2, 2, 0, 2, 0, 2, 0, 2], [2, 2, 0, 2, 2, 0, 2, 0, 2, 0], [0, 2, 0, 0, 0, 2, 0, 2, 2, 0], [2, 0, 0, 2, 2, 0, 2, 0, 0, 0], [0, 0, 2, 2, 0, 2, 2, 0, 2, 0], [0, 0, 2, 2, 2, 0, 2, 2, 2, 0], [2, 2, 2, 2, 0, 0, 2, 0, 0, 2], [2, 0, 2, 2, 0, 2, 2, 0, 2, 0], [0, 2, 2, 2, 2, 0, 0, 2, 2, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0
+                        ],
+                        [
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0
+                        ],
+                        [
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            2,
+                            2,
+                            0
+                        ],
+                        [
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            2
+                        ],
+                        [
+                            2,
+                            0,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0
+                        ],
+                        [
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0
+                        ]
+                    ],
+                    "output": [
+                        [
+                            1,
+                            1,
+                            1,
+                            0,
+                            1,
+                            0,
+                            1,
+                            0,
+                            1,
+                            0
+                        ],
+                        [
+                            0,
+                            1,
+                            1,
+                            1,
+                            0,
+                            1,
+                            0,
+                            1,
+                            0,
+                            1
+                        ],
+                        [
+                            1,
+                            1,
+                            0,
+                            1,
+                            1,
+                            0,
+                            1,
+                            0,
+                            1,
+                            0
+                        ],
+                        [
+                            0,
+                            1,
+                            0,
+                            0,
+                            0,
+                            1,
+                            0,
+                            1,
+                            1,
+                            0
+                        ],
+                        [
+                            1,
+                            0,
+                            0,
+                            1,
+                            1,
+                            0,
+                            1,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            1,
+                            1,
+                            0,
+                            1,
+                            1,
+                            0,
+                            1,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            1,
+                            1,
+                            1,
+                            0,
+                            1,
+                            1,
+                            1,
+                            0
+                        ],
+                        [
+                            1,
+                            1,
+                            1,
+                            1,
+                            0,
+                            0,
+                            1,
+                            0,
+                            0,
+                            1
+                        ],
+                        [
+                            1,
+                            0,
+                            1,
+                            1,
+                            0,
+                            1,
+                            1,
+                            0,
+                            1,
+                            0
+                        ],
+                        [
+                            0,
+                            1,
+                            1,
+                            1,
+                            1,
+                            0,
+                            0,
+                            1,
+                            1,
+                            0
+                        ]
+                    ]
+                }
+            },
+            "Replicate 2": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 3, 3, 0, 0, 3, 0, 0, 3], [0, 0, 3, 3, 0, 0, 0, 0, 0, 3], [3, 0, 3, 3, 0, 0, 0, 0, 0, 3], [3, 3, 3, 0, 3, 3, 3, 3, 3, 3], [0, 3, 0, 0, 0, 0, 0, 3, 0, 0], [3, 3, 3, 3, 3, 3, 0, 3, 0, 3], [3, 3, 0, 0, 3, 3, 3, 0, 3, 0], [3, 3, 0, 0, 0, 0, 3, 3, 0, 3], [3, 0, 0, 3, 0, 0, 0, 0, 3, 3], [0, 0, 0, 0, 3, 3, 0, 0, 3, 0], [2, 2, 0, 2, 0, 0, 0, 2, 2, 0], [2, 0, 2, 2, 2, 2, 2, 2, 2, 2], [0, 0, 2, 0, 2, 2, 2, 0, 2, 0], [0, 2, 0, 2, 0, 0, 2, 0, 2, 2], [2, 2, 0, 2, 2, 0, 2, 0, 2, 0], [0, 0, 0, 2, 2, 2, 2, 2, 0, 0], [0, 2, 2, 2, 2, 0, 2, 2, 0, 0], [0, 0, 2, 2, 2, 0, 2, 2, 2, 2], [0, 0, 2, 2, 2, 0, 0, 0, 0, 2], [2, 0, 0, 0, 0, 0, 2, 2, 2, 0]] -> [[1, 1, 1, 0, 0, 0, 1, 1, 1, 1], [1, 0, 0, 0, 1, 1, 1, 1, 1, 0], [1, 0, 0, 1, 1, 1, 1, 0, 1, 1], [1, 0, 1, 1, 1, 1, 0, 1, 0, 0], [1, 0, 0, 1, 1, 0, 1, 1, 1, 0], [1, 1, 1, 0, 0, 0, 1, 0, 0, 1], [1, 0, 1, 1, 0, 1, 0, 1, 1, 0], [1, 1, 1, 1, 1, 0, 0, 0, 1, 0], [1, 0, 1, 0, 1, 0, 0, 0, 1, 0], [1, 0, 0, 0, 1, 1, 1, 1, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 0, 4, 4, 0, 0, 4, 0, 0, 4], [0, 0, 4, 4, 0, 0, 0, 0, 0, 4], [4, 0, 4, 4, 0, 0, 0, 0, 0, 4], [4, 4, 4, 0, 4, 4, 4, 4, 4, 4], [0, 4, 0, 0, 0, 0, 0, 4, 0, 0], [4, 4, 4, 4, 4, 4, 0, 4, 0, 4], [4, 4, 0, 0, 4, 4, 4, 0, 4, 0], [4, 4, 0, 0, 0, 0, 4, 4, 0, 4], [4, 0, 0, 4, 0, 0, 0, 0, 4, 4], [0, 0, 0, 0, 4, 4, 0, 0, 4, 0], [2, 2, 0, 2, 0, 0, 0, 2, 2, 0], [2, 0, 2, 2, 2, 2, 2, 2, 2, 2], [0, 0, 2, 0, 2, 2, 2, 0, 2, 0], [0, 2, 0, 2, 0, 0, 2, 0, 2, 2], [2, 2, 0, 2, 2, 0, 2, 0, 2, 0], [0, 0, 0, 2, 2, 2, 2, 2, 0, 0], [0, 2, 2, 2, 2, 0, 2, 2, 0, 0], [0, 0, 2, 2, 2, 0, 2, 2, 2, 2], [0, 0, 2, 2, 2, 0, 0, 0, 0, 2], [2, 0, 0, 0, 0, 0, 2, 2, 2, 0]] -> [[1, 1, 1, 0, 0, 0, 1, 1, 1, 1], [1, 0, 0, 0, 1, 1, 1, 1, 1, 0], [1, 0, 0, 1, 1, 1, 1, 0, 1, 1], [1, 0, 1, 1, 1, 1, 0, 1, 0, 0], [1, 0, 0, 1, 1, 0, 1, 1, 1, 0], [1, 1, 1, 0, 0, 0, 1, 0, 0, 1], [1, 0, 1, 1, 0, 1, 0, 1, 1, 0], [1, 1, 1, 1, 1, 0, 0, 0, 1, 0], [1, 0, 1, 0, 1, 0, 0, 0, 1, 0], [1, 0, 0, 0, 1, 1, 1, 1, 0, 0]]\nExample input-output arrays:\n[[0, 3, 0, 0, 0, 3, 3, 0, 0, 0], [0, 0, 3, 0, 3, 0, 3, 3, 0, 0], [3, 3, 3, 3, 0, 0, 3, 0, 0, 3], [0, 3, 3, 0, 3, 0, 0, 3, 0, 3], [3, 0, 0, 0, 0, 3, 3, 0, 0, 3], [0, 3, 3, 3, 3, 3, 3, 3, 0, 0], [0, 3, 3, 0, 3, 0, 3, 0, 3, 3], [3, 0, 0, 3, 0, 0, 3, 3, 0, 3], [0, 0, 0, 0, 3, 0, 0, 3, 3, 0], [3, 3, 3, 3, 0, 3, 3, 3, 3, 3], [0, 0, 0, 0, 2, 2, 0, 0, 2, 0], [0, 0, 2, 0, 2, 0, 0, 0, 2, 2], [0, 2, 2, 0, 2, 2, 2, 0, 0, 0], [0, 2, 0, 0, 0, 2, 0, 0, 2, 0], [2, 0, 0, 2, 2, 0, 0, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [2, 2, 0, 0, 2, 0, 0, 2, 0, 0], [2, 2, 0, 2, 0, 0, 2, 0, 0, 0], [2, 2, 2, 0, 0, 2, 2, 2, 0, 2], [0, 2, 0, 0, 2, 0, 0, 2, 0, 0]] -> [[0, 1, 0, 0, 1, 0, 1, 0, 1, 0], [0, 0, 0, 0, 0, 0, 1, 1, 1, 1], [1, 0, 0, 1, 1, 1, 0, 0, 0, 1], [0, 0, 1, 0, 1, 1, 0, 1, 1, 1], [0, 0, 0, 1, 1, 1, 1, 1, 0, 1], [0, 1, 1, 1, 1, 1, 1, 1, 1, 0], [1, 0, 1, 0, 0, 0, 1, 1, 1, 1], [0, 1, 0, 0, 0, 0, 0, 1, 0, 1], [1, 1, 1, 0, 1, 1, 1, 0, 1, 1], [1, 0, 1, 1, 1, 1, 1, 0, 1, 1]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 6, 0, 0, 0, 6, 6, 0, 0, 0], [0, 0, 6, 0, 6, 0, 6, 6, 0, 0], [6, 6, 6, 6, 0, 0, 6, 0, 0, 6], [0, 6, 6, 0, 6, 0, 0, 6, 0, 6], [6, 0, 0, 0, 0, 6, 6, 0, 0, 6], [0, 6, 6, 6, 6, 6, 6, 6, 0, 0], [0, 6, 6, 0, 6, 0, 6, 0, 6, 6], [6, 0, 0, 6, 0, 0, 6, 6, 0, 6], [0, 0, 0, 0, 6, 0, 0, 6, 6, 0], [6, 6, 6, 6, 0, 6, 6, 6, 6, 6], [0, 0, 0, 0, 2, 2, 0, 0, 2, 0], [0, 0, 2, 0, 2, 0, 0, 0, 2, 2], [0, 2, 2, 0, 2, 2, 2, 0, 0, 0], [0, 2, 0, 0, 0, 2, 0, 0, 2, 0], [2, 0, 0, 2, 2, 0, 0, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [2, 2, 0, 0, 2, 0, 0, 2, 0, 0], [2, 2, 0, 2, 0, 0, 2, 0, 0, 0], [2, 2, 2, 0, 0, 2, 2, 2, 0, 2], [0, 2, 0, 0, 2, 0, 0, 2, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            6,
+                            6,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0,
+                            0
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6
+                        ],
+                        [
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            6,
+                            6,
+                            0,
+                            6
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            6,
+                            6,
+                            0
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2
+                        ],
+                        [
+                            0,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0
+                        ],
+                        [
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0
+                        ],
+                        [
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0
+                        ],
+                        [
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2
+                        ],
+                        [
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0
+                        ]
+                    ],
+                    "output": [
+                        [
+                            0,
+                            1,
+                            0,
+                            0,
+                            1,
+                            0,
+                            1,
+                            0,
+                            1,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            1,
+                            1,
+                            1,
+                            1
+                        ],
+                        [
+                            1,
+                            0,
+                            0,
+                            1,
+                            1,
+                            1,
+                            0,
+                            0,
+                            0,
+                            1
+                        ],
+                        [
+                            0,
+                            0,
+                            1,
+                            0,
+                            1,
+                            1,
+                            0,
+                            1,
+                            1,
+                            1
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            0,
+                            1
+                        ],
+                        [
+                            0,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            0
+                        ],
+                        [
+                            1,
+                            0,
+                            1,
+                            0,
+                            0,
+                            0,
+                            1,
+                            1,
+                            1,
+                            1
+                        ],
+                        [
+                            0,
+                            1,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            1,
+                            0,
+                            1
+                        ],
+                        [
+                            1,
+                            1,
+                            1,
+                            0,
+                            1,
+                            1,
+                            1,
+                            0,
+                            1,
+                            1
+                        ],
+                        [
+                            1,
+                            0,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            0,
+                            1,
+                            1
+                        ]
+                    ]
+                }
+            },
+            "Replicate 3": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 3, 3, 0, 0, 3, 0, 0, 3], [0, 0, 3, 3, 0, 0, 0, 0, 0, 3], [3, 0, 3, 3, 0, 0, 0, 0, 0, 3], [3, 3, 3, 0, 3, 3, 3, 3, 3, 3], [0, 3, 0, 0, 0, 0, 0, 3, 0, 0], [3, 3, 3, 3, 3, 3, 0, 3, 0, 3], [3, 3, 0, 0, 3, 3, 3, 0, 3, 0], [3, 3, 0, 0, 0, 0, 3, 3, 0, 3], [3, 0, 0, 3, 0, 0, 0, 0, 3, 3], [0, 0, 0, 0, 3, 3, 0, 0, 3, 0], [2, 2, 0, 2, 0, 0, 0, 2, 2, 0], [2, 0, 2, 2, 2, 2, 2, 2, 2, 2], [0, 0, 2, 0, 2, 2, 2, 0, 2, 0], [0, 2, 0, 2, 0, 0, 2, 0, 2, 2], [2, 2, 0, 2, 2, 0, 2, 0, 2, 0], [0, 0, 0, 2, 2, 2, 2, 2, 0, 0], [0, 2, 2, 2, 2, 0, 2, 2, 0, 0], [0, 0, 2, 2, 2, 0, 2, 2, 2, 2], [0, 0, 2, 2, 2, 0, 0, 0, 0, 2], [2, 0, 0, 0, 0, 0, 2, 2, 2, 0]] -> [[1, 1, 1, 0, 0, 0, 1, 1, 1, 1], [1, 0, 0, 0, 1, 1, 1, 1, 1, 0], [1, 0, 0, 1, 1, 1, 1, 0, 1, 1], [1, 0, 1, 1, 1, 1, 0, 1, 0, 0], [1, 0, 0, 1, 1, 0, 1, 1, 1, 0], [1, 1, 1, 0, 0, 0, 1, 0, 0, 1], [1, 0, 1, 1, 0, 1, 0, 1, 1, 0], [1, 1, 1, 1, 1, 0, 0, 0, 1, 0], [1, 0, 1, 0, 1, 0, 0, 0, 1, 0], [1, 0, 0, 0, 1, 1, 1, 1, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing the causal function for some elements.\n[[3, 3, 0, 0, 3, 3, 0, 3, 3, 0], [3, 3, 0, 0, 3, 3, 3, 3, 3, 0], [0, 3, 0, 0, 3, 3, 3, 3, 3, 0], [0, 0, 0, 3, 0, 0, 0, 0, 0, 0], [3, 0, 3, 3, 3, 3, 3, 0, 3, 3], [0, 0, 0, 0, 0, 0, 3, 0, 3, 0], [0, 0, 3, 3, 0, 0, 0, 3, 0, 3], [0, 0, 3, 3, 3, 3, 0, 0, 3, 0], [0, 3, 3, 0, 3, 3, 3, 3, 0, 0], [3, 3, 3, 3, 0, 0, 3, 3, 0, 3], [2, 2, 0, 2, 0, 0, 0, 2, 2, 0], [2, 0, 2, 2, 2, 2, 2, 2, 2, 2], [0, 0, 2, 0, 2, 2, 2, 0, 2, 0], [0, 2, 0, 2, 0, 0, 2, 0, 2, 2], [2, 2, 0, 2, 2, 0, 2, 0, 2, 0], [0, 0, 0, 2, 2, 2, 2, 2, 0, 0], [0, 2, 2, 2, 2, 0, 2, 2, 0, 0], [0, 0, 2, 2, 2, 0, 2, 2, 2, 2], [0, 0, 2, 2, 2, 0, 0, 0, 0, 2], [2, 0, 0, 0, 0, 0, 2, 2, 2, 0]] -> [[0, 0, 0, 1, 1, 1, 0, 0, 0, 0], [0, 1, 1, 1, 0, 0, 0, 0, 0, 1], [0, 1, 1, 0, 0, 0, 0, 1, 0, 0], [0, 1, 0, 0, 0, 0, 1, 0, 1, 1], [0, 1, 1, 0, 0, 1, 0, 0, 0, 1], [0, 0, 0, 1, 1, 1, 0, 1, 1, 0], [0, 1, 0, 0, 1, 0, 1, 0, 0, 1], [0, 0, 0, 0, 0, 1, 1, 1, 0, 1], [0, 1, 0, 1, 0, 1, 1, 1, 0, 1], [0, 1, 1, 1, 0, 0, 0, 0, 1, 1]]\nExample input-output arrays:\n[[0, 3, 0, 0, 0, 3, 3, 0, 0, 0], [0, 0, 3, 0, 3, 0, 3, 3, 0, 0], [3, 3, 3, 3, 0, 0, 3, 0, 0, 3], [0, 3, 3, 0, 3, 0, 0, 3, 0, 3], [3, 0, 0, 0, 0, 3, 3, 0, 0, 3], [0, 3, 3, 3, 3, 3, 3, 3, 0, 0], [0, 3, 3, 0, 3, 0, 3, 0, 3, 3], [3, 0, 0, 3, 0, 0, 3, 3, 0, 3], [0, 0, 0, 0, 3, 0, 0, 3, 3, 0], [3, 3, 3, 3, 0, 3, 3, 3, 3, 3], [0, 0, 0, 0, 2, 2, 0, 0, 2, 0], [0, 0, 2, 0, 2, 0, 0, 0, 2, 2], [0, 2, 2, 0, 2, 2, 2, 0, 0, 0], [0, 2, 0, 0, 0, 2, 0, 0, 2, 0], [2, 0, 0, 2, 2, 0, 0, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [2, 2, 0, 0, 2, 0, 0, 2, 0, 0], [2, 2, 0, 2, 0, 0, 2, 0, 0, 0], [2, 2, 2, 0, 0, 2, 2, 2, 0, 2], [0, 2, 0, 0, 2, 0, 0, 2, 0, 0]] -> [[0, 1, 0, 0, 1, 0, 1, 0, 1, 0], [0, 0, 0, 0, 0, 0, 1, 1, 1, 1], [1, 0, 0, 1, 1, 1, 0, 0, 0, 1], [0, 0, 1, 0, 1, 1, 0, 1, 1, 1], [0, 0, 0, 1, 1, 1, 1, 1, 0, 1], [0, 1, 1, 1, 1, 1, 1, 1, 1, 0], [1, 0, 1, 0, 0, 0, 1, 1, 1, 1], [0, 1, 0, 0, 0, 0, 0, 1, 0, 1], [1, 1, 1, 0, 1, 1, 1, 0, 1, 1], [1, 0, 1, 1, 1, 1, 1, 0, 1, 1]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [0, 0, 0, 0, 2, 2, 0, 0, 2, 0], [0, 0, 2, 0, 2, 0, 0, 0, 2, 2], [0, 2, 2, 0, 2, 2, 2, 0, 0, 0], [0, 2, 0, 0, 0, 2, 0, 0, 2, 0], [2, 0, 0, 2, 2, 0, 0, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [2, 2, 0, 0, 2, 0, 0, 2, 0, 0], [2, 2, 0, 2, 0, 0, 2, 0, 0, 0], [2, 2, 2, 0, 0, 2, 2, 2, 0, 2], [0, 2, 0, 0, 2, 0, 0, 2, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2
+                        ],
+                        [
+                            0,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
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+                        ],
+                        [
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0
+                        ],
+                        [
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0
+                        ],
+                        [
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2
+                        ],
+                        [
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0
+                        ]
+                    ],
+                    "output": [
+                        [
+                            1,
+                            1,
+                            1,
+                            1,
+                            0,
+                            0,
+                            1,
+                            1,
+                            0,
+                            1
+                        ],
+                        [
+                            1,
+                            1,
+                            0,
+                            1,
+                            0,
+                            1,
+                            1,
+                            1,
+                            0,
+                            0
+                        ],
+                        [
+                            1,
+                            0,
+                            0,
+                            1,
+                            0,
+                            0,
+                            0,
+                            1,
+                            1,
+                            1
+                        ],
+                        [
+                            1,
+                            0,
+                            1,
+                            1,
+                            1,
+                            0,
+                            1,
+                            1,
+                            0,
+                            1
+                        ],
+                        [
+                            0,
+                            1,
+                            1,
+                            0,
+                            0,
+                            1,
+                            1,
+                            0,
+                            1,
+                            1
+                        ],
+                        [
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            0,
+                            1
+                        ],
+                        [
+                            0,
+                            0,
+                            1,
+                            1,
+                            0,
+                            1,
+                            1,
+                            0,
+                            1,
+                            1
+                        ],
+                        [
+                            0,
+                            0,
+                            1,
+                            0,
+                            1,
+                            1,
+                            0,
+                            1,
+                            1,
+                            1
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            1,
+                            1,
+                            0,
+                            0,
+                            0,
+                            1,
+                            0
+                        ],
+                        [
+                            1,
+                            0,
+                            1,
+                            1,
+                            0,
+                            1,
+                            1,
+                            0,
+                            1,
+                            1
+                        ]
+                    ]
+                }
+            },
+            "Replicate 4": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 3, 0, 0, 0, 3, 3, 0, 0, 0], [0, 0, 3, 0, 3, 0, 3, 3, 0, 0], [3, 3, 3, 3, 0, 0, 3, 0, 0, 3], [0, 3, 3, 0, 3, 0, 0, 3, 0, 3], [3, 0, 0, 0, 0, 3, 3, 0, 0, 3], [0, 3, 3, 3, 3, 3, 3, 3, 0, 0], [0, 3, 3, 0, 3, 0, 3, 0, 3, 3], [3, 0, 0, 3, 0, 0, 3, 3, 0, 3], [0, 0, 0, 0, 3, 0, 0, 3, 3, 0], [3, 3, 3, 3, 0, 3, 3, 3, 3, 3], [0, 0, 0, 0, 2, 2, 0, 0, 2, 0], [0, 0, 2, 0, 2, 0, 0, 0, 2, 2], [0, 2, 2, 0, 2, 2, 2, 0, 0, 0], [0, 2, 0, 0, 0, 2, 0, 0, 2, 0], [2, 0, 0, 2, 2, 0, 0, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [2, 2, 0, 0, 2, 0, 0, 2, 0, 0], [2, 2, 0, 2, 0, 0, 2, 0, 0, 0], [2, 2, 2, 0, 0, 2, 2, 2, 0, 2], [0, 2, 0, 0, 2, 0, 0, 2, 0, 0]] -> [[0, 1, 0, 0, 1, 0, 1, 0, 1, 0], [0, 0, 0, 0, 0, 0, 1, 1, 1, 1], [1, 0, 0, 1, 1, 1, 0, 0, 0, 1], [0, 0, 1, 0, 1, 1, 0, 1, 1, 1], [0, 0, 0, 1, 1, 1, 1, 1, 0, 1], [0, 1, 1, 1, 1, 1, 1, 1, 1, 0], [1, 0, 1, 0, 0, 0, 1, 1, 1, 1], [0, 1, 0, 0, 0, 0, 0, 1, 0, 1], [1, 1, 1, 0, 1, 1, 1, 0, 1, 1], [1, 0, 1, 1, 1, 1, 1, 0, 1, 1]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 2, 2, 0, 0, 2, 0], [0, 0, 2, 0, 2, 0, 0, 0, 2, 2], [0, 2, 2, 0, 2, 2, 2, 0, 0, 0], [0, 2, 0, 0, 0, 2, 0, 0, 2, 0], [2, 0, 0, 2, 2, 0, 0, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [2, 2, 0, 0, 2, 0, 0, 2, 0, 0], [2, 2, 0, 2, 0, 0, 2, 0, 0, 0], [2, 2, 2, 0, 0, 2, 2, 2, 0, 2], [0, 2, 0, 0, 2, 0, 0, 2, 0, 0]] -> [[0, 0, 0, 0, 1, 1, 0, 0, 1, 0], [0, 0, 1, 0, 1, 0, 0, 0, 1, 1], [0, 1, 1, 0, 1, 1, 1, 0, 0, 0], [0, 1, 0, 0, 0, 1, 0, 0, 1, 0], [1, 0, 0, 1, 1, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 1, 0], [1, 1, 0, 0, 1, 0, 0, 1, 0, 0], [1, 1, 0, 1, 0, 0, 1, 0, 0, 0], [1, 1, 1, 0, 0, 1, 1, 1, 0, 1], [0, 1, 0, 0, 1, 0, 0, 1, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 3, 3, 0, 3, 0, 0, 3], [3, 3, 3, 3, 0, 0, 0, 0, 3, 0], [0, 0, 3, 3, 0, 3, 0, 3, 3, 3], [0, 3, 3, 3, 3, 0, 0, 0, 3, 3], [3, 0, 3, 0, 0, 3, 3, 0, 3, 0], [3, 3, 3, 0, 3, 3, 0, 3, 3, 0], [0, 3, 3, 3, 3, 3, 3, 3, 0, 3], [3, 3, 3, 3, 3, 0, 3, 0, 3, 3], [3, 3, 0, 3, 0, 0, 3, 0, 0, 0], [0, 3, 3, 0, 0, 0, 3, 3, 0, 3], [2, 2, 2, 0, 2, 0, 2, 0, 2, 0], [0, 2, 2, 2, 0, 2, 0, 2, 0, 2], [2, 2, 0, 2, 2, 0, 2, 0, 2, 0], [0, 2, 0, 0, 0, 2, 0, 2, 2, 0], [2, 0, 0, 2, 2, 0, 2, 0, 0, 0], [0, 0, 2, 2, 0, 2, 2, 0, 2, 0], [0, 0, 2, 2, 2, 0, 2, 2, 2, 0], [2, 2, 2, 2, 0, 0, 2, 0, 0, 2], [2, 0, 2, 2, 0, 2, 2, 0, 2, 0], [0, 2, 2, 2, 2, 0, 0, 2, 2, 0]] -> [[1, 1, 1, 1, 0, 0, 0, 0, 1, 1], [1, 0, 0, 0, 0, 1, 0, 1, 1, 1], [1, 1, 1, 0, 1, 1, 1, 1, 0, 1], [0, 0, 1, 1, 1, 1, 0, 1, 0, 1], [0, 0, 1, 1, 1, 1, 0, 0, 1, 0], [1, 1, 0, 1, 1, 0, 1, 1, 0, 0], [0, 1, 0, 0, 0, 1, 0, 0, 1, 1], [0, 0, 0, 0, 1, 0, 0, 0, 1, 0], [0, 1, 1, 0, 0, 1, 0, 0, 1, 0], [0, 0, 0, 1, 1, 0, 1, 0, 1, 1]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 0, 0, 8, 8, 0, 8, 0, 0, 8], [8, 8, 8, 8, 0, 0, 0, 0, 8, 0], [0, 0, 8, 8, 0, 8, 0, 8, 8, 8], [0, 8, 8, 8, 8, 0, 0, 0, 8, 8], [8, 0, 8, 0, 0, 8, 8, 0, 8, 0], [8, 8, 8, 0, 8, 8, 0, 8, 8, 0], [0, 8, 8, 8, 8, 8, 8, 8, 0, 8], [8, 8, 8, 8, 8, 0, 8, 0, 8, 8], [8, 8, 0, 8, 0, 0, 8, 0, 0, 0], [0, 8, 8, 0, 0, 0, 8, 8, 0, 8], [2, 2, 2, 0, 2, 0, 2, 0, 2, 0], [0, 2, 2, 2, 0, 2, 0, 2, 0, 2], [2, 2, 0, 2, 2, 0, 2, 0, 2, 0], [0, 2, 0, 0, 0, 2, 0, 2, 2, 0], [2, 0, 0, 2, 2, 0, 2, 0, 0, 0], [0, 0, 2, 2, 0, 2, 2, 0, 2, 0], [0, 0, 2, 2, 2, 0, 2, 2, 2, 0], [2, 2, 2, 2, 0, 0, 2, 0, 0, 2], [2, 0, 2, 2, 0, 2, 2, 0, 2, 0], [0, 2, 2, 2, 2, 0, 0, 2, 2, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            0,
+                            0,
+                            0,
+                            8,
+                            8,
+                            0,
+                            8,
+                            0,
+                            0,
+                            8
+                        ],
+                        [
+                            8,
+                            8,
+                            8,
+                            8,
+                            0,
+                            0,
+                            0,
+                            0,
+                            8,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            8,
+                            8,
+                            0,
+                            8,
+                            0,
+                            8,
+                            8,
+                            8
+                        ],
+                        [
+                            0,
+                            8,
+                            8,
+                            8,
+                            8,
+                            0,
+                            0,
+                            0,
+                            8,
+                            8
+                        ],
+                        [
+                            8,
+                            0,
+                            8,
+                            0,
+                            0,
+                            8,
+                            8,
+                            0,
+                            8,
+                            0
+                        ],
+                        [
+                            8,
+                            8,
+                            8,
+                            0,
+                            8,
+                            8,
+                            0,
+                            8,
+                            8,
+                            0
+                        ],
+                        [
+                            0,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            0,
+                            8
+                        ],
+                        [
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            0,
+                            8,
+                            0,
+                            8,
+                            8
+                        ],
+                        [
+                            8,
+                            8,
+                            0,
+                            8,
+                            0,
+                            0,
+                            8,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            8,
+                            8,
+                            0,
+                            0,
+                            0,
+                            8,
+                            8,
+                            0,
+                            8
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0
+                        ],
+                        [
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0
+                        ],
+                        [
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            2,
+                            2,
+                            0
+                        ],
+                        [
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            2
+                        ],
+                        [
+                            2,
+                            0,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0
+                        ],
+                        [
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0
+                        ]
+                    ],
+                    "output": [
+                        [
+                            1,
+                            1,
+                            1,
+                            1,
+                            0,
+                            0,
+                            0,
+                            0,
+                            1,
+                            1
+                        ],
+                        [
+                            1,
+                            0,
+                            0,
+                            0,
+                            0,
+                            1,
+                            0,
+                            1,
+                            1,
+                            1
+                        ],
+                        [
+                            1,
+                            1,
+                            1,
+                            0,
+                            1,
+                            1,
+                            1,
+                            1,
+                            0,
+                            1
+                        ],
+                        [
+                            0,
+                            0,
+                            1,
+                            1,
+                            1,
+                            1,
+                            0,
+                            1,
+                            0,
+                            1
+                        ],
+                        [
+                            0,
+                            0,
+                            1,
+                            1,
+                            1,
+                            1,
+                            0,
+                            0,
+                            1,
+                            0
+                        ],
+                        [
+                            1,
+                            1,
+                            0,
+                            1,
+                            1,
+                            0,
+                            1,
+                            1,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            1,
+                            0,
+                            0,
+                            0,
+                            1,
+                            0,
+                            0,
+                            1,
+                            1
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            1,
+                            0,
+                            0,
+                            0,
+                            1,
+                            0
+                        ],
+                        [
+                            0,
+                            1,
+                            1,
+                            0,
+                            0,
+                            1,
+                            0,
+                            0,
+                            1,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            1,
+                            1,
+                            0,
+                            1,
+                            0,
+                            1,
+                            1
+                        ]
+                    ]
+                }
+            }
+        }
+    },
+    "SCMdky5!xor!15x15": {
+        "L1": {
+            "Replicate 0": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 8, 0, 8, 8, 8], [8, 0, 0, 8, 0, 0, 0, 8, 8, 8, 8, 0, 8, 0, 8], [8, 0, 0, 8, 0, 8, 8, 8, 8, 0, 0, 0, 0, 8, 0], [8, 8, 0, 0, 8, 0, 8, 0, 8, 8, 0, 8, 0, 8, 0], [8, 0, 8, 8, 8, 0, 0, 8, 0, 0, 0, 0, 0, 0, 8], [8, 8, 8, 8, 0, 0, 8, 8, 0, 0, 0, 0, 8, 8, 8], [8, 0, 0, 8, 0, 8, 8, 0, 0, 0, 8, 8, 8, 0, 8], [0, 8, 0, 8, 0, 8, 0, 0, 8, 8, 0, 8, 8, 0, 8], [0, 0, 0, 8, 0, 8, 0, 8, 0, 8, 0, 8, 0, 0, 8], [0, 8, 8, 0, 0, 8, 0, 0, 8, 8, 0, 0, 8, 0, 8], [8, 0, 8, 8, 8, 8, 0, 0, 0, 0, 8, 0, 0, 8, 0], [8, 0, 8, 8, 0, 0, 0, 8, 0, 8, 8, 8, 8, 0, 0], [8, 8, 0, 0, 0, 0, 8, 0, 8, 0, 0, 0, 8, 8, 8], [8, 8, 0, 8, 8, 0, 8, 8, 8, 0, 0, 0, 8, 0, 8], [8, 0, 0, 8, 8, 8, 0, 8, 0, 8, 8, 8, 0, 0, 8], [9, 0, 9, 9, 9, 9, 0, 9, 0, 9, 0, 9, 9, 9, 9], [9, 9, 0, 9, 9, 9, 0, 0, 9, 0, 0, 0, 9, 0, 0], [0, 0, 0, 9, 9, 9, 9, 9, 0, 9, 9, 0, 9, 0, 9], [9, 9, 9, 9, 0, 9, 0, 0, 0, 0, 9, 0, 9, 0, 0], [0, 9, 0, 9, 0, 9, 9, 0, 9, 0, 0, 9, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 9, 0, 9, 9, 9], [0, 0, 0, 9, 9, 9, 0, 0, 0, 9, 9, 9, 0, 9, 9], [9, 0, 9, 9, 0, 0, 0, 9, 9, 0, 9, 0, 0, 9, 9], [0, 9, 9, 9, 0, 9, 0, 9, 9, 0, 0, 9, 0, 0, 9], [0, 0, 0, 9, 9, 9, 0, 0, 9, 9, 9, 9, 9, 0, 0], [9, 9, 9, 9, 0, 9, 9, 0, 9, 9, 0, 0, 9, 0, 0], [0, 9, 0, 9, 0, 0, 9, 9, 0, 9, 0, 9, 0, 0, 0], [0, 9, 9, 0, 0, 0, 0, 0, 9, 9, 9, 9, 9, 0, 9], [0, 0, 9, 0, 0, 9, 0, 9, 0, 0, 0, 0, 9, 0, 0], [9, 9, 9, 9, 9, 9, 0, 0, 9, 0, 9, 0, 0, 9, 9]] -> [[3, 0, 3, 3, 3, 0, 0, 3, 0, 3, 3, 3, 0, 0, 0], [0, 3, 0, 0, 3, 3, 0, 3, 0, 3, 3, 0, 0, 0, 3], [3, 0, 0, 0, 3, 0, 0, 0, 3, 3, 3, 0, 3, 3, 3], [0, 0, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 0], [3, 3, 3, 0, 3, 3, 3, 3, 3, 0, 0, 3, 0, 0, 3], [3, 3, 3, 3, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0], [3, 0, 0, 0, 3, 0, 3, 0, 0, 3, 0, 0, 3, 3, 0], [3, 3, 3, 0, 0, 3, 0, 3, 0, 3, 3, 3, 3, 3, 0], [0, 3, 3, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0], [0, 3, 3, 3, 3, 0, 0, 0, 0, 0, 3, 3, 0, 0, 3], [0, 3, 0, 0, 3, 0, 3, 0, 3, 3, 3, 0, 3, 3, 0], [3, 3, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 3, 0, 0], [3, 0, 3, 0, 0, 0, 3, 0, 0, 3, 3, 3, 0, 3, 0], [3, 3, 3, 3, 3, 3, 3, 0, 3, 0, 0, 0, 0, 0, 3], [0, 3, 3, 0, 0, 0, 0, 3, 3, 3, 0, 3, 0, 3, 0]]\nExample input-output arrays:\n[[0, 8, 0, 0, 0, 0, 0, 8, 0, 8, 8, 0, 8, 0, 0], [0, 8, 8, 8, 8, 0, 0, 0, 8, 0, 8, 0, 8, 8, 8], [0, 0, 8, 8, 0, 0, 0, 8, 0, 8, 8, 8, 8, 0, 0], [0, 8, 8, 8, 0, 8, 8, 0, 0, 0, 8, 0, 8, 8, 8], [8, 0, 8, 8, 8, 0, 0, 8, 0, 0, 0, 0, 0, 8, 8], [8, 0, 8, 0, 0, 0, 8, 8, 0, 0, 0, 8, 8, 0, 0], [0, 0, 8, 0, 0, 8, 0, 0, 0, 0, 0, 8, 0, 0, 8], [8, 8, 8, 0, 0, 8, 8, 0, 0, 8, 0, 8, 8, 8, 0], [8, 8, 8, 0, 8, 0, 8, 8, 0, 8, 0, 0, 8, 0, 0], [8, 0, 0, 8, 8, 8, 8, 8, 8, 0, 8, 8, 0, 8, 0], [8, 8, 8, 0, 8, 0, 0, 8, 0, 0, 8, 0, 0, 0, 0], [0, 8, 0, 8, 8, 0, 0, 0, 0, 8, 0, 0, 8, 0, 0], [8, 0, 0, 8, 8, 0, 0, 8, 0, 8, 8, 8, 8, 0, 8], [0, 8, 0, 8, 8, 0, 0, 8, 0, 0, 8, 8, 8, 8, 8], [0, 0, 0, 0, 8, 8, 0, 8, 0, 0, 0, 0, 8, 8, 8], [0, 9, 9, 9, 0, 0, 0, 0, 0, 0, 9, 0, 9, 0, 0], [9, 9, 9, 9, 9, 9, 9, 0, 9, 0, 9, 0, 9, 0, 0], [9, 0, 0, 9, 0, 9, 0, 9, 0, 9, 0, 0, 0, 0, 9], [0, 9, 9, 0, 0, 0, 9, 9, 9, 0, 9, 9, 0, 9, 0], [9, 9, 9, 0, 0, 0, 9, 0, 9, 0, 9, 9, 0, 0, 9], [0, 9, 9, 9, 0, 9, 9, 0, 0, 0, 0, 0, 9, 9, 0], [9, 0, 9, 9, 0, 0, 9, 9, 9, 0, 0, 9, 9, 9, 9], [9, 0, 9, 9, 9, 9, 9, 9, 9, 0, 0, 9, 0, 9, 0], [9, 9, 0, 9, 0, 0, 9, 0, 0, 0, 0, 9, 9, 9, 9], [0, 0, 9, 9, 0, 9, 9, 0, 0, 0, 9, 9, 9, 9, 0], [0, 9, 0, 9, 9, 9, 0, 9, 9, 9, 9, 0, 9, 0, 0], [0, 9, 0, 9, 9, 9, 9, 9, 9, 0, 0, 9, 9, 0, 9], [0, 9, 9, 0, 9, 9, 9, 9, 0, 9, 0, 0, 0, 9, 9], [0, 9, 0, 0, 0, 0, 0, 9, 9, 9, 9, 9, 0, 9, 0], [9, 0, 9, 0, 0, 0, 0, 0, 9, 9, 9, 9, 0, 9, 0]] -> [[0, 0, 3, 3, 0, 0, 0, 3, 0, 3, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 3, 3], [3, 0, 3, 0, 0, 3, 0, 0, 0, 0, 3, 3, 3, 0, 3], [0, 0, 0, 3, 0, 3, 0, 3, 3, 0, 0, 3, 3, 0, 3], [0, 3, 0, 3, 3, 0, 3, 3, 3, 0, 3, 3, 0, 3, 0], [3, 3, 0, 3, 0, 3, 0, 3, 0, 0, 0, 3, 0, 3, 0], [3, 0, 0, 3, 0, 3, 3, 3, 3, 0, 0, 0, 3, 3, 0], [0, 3, 0, 3, 3, 0, 0, 3, 3, 3, 0, 0, 3, 0, 0], [0, 0, 3, 3, 3, 0, 0, 3, 0, 3, 0, 3, 0, 3, 3], [3, 0, 3, 0, 3, 0, 0, 3, 3, 0, 0, 0, 3, 0, 0], [3, 0, 3, 3, 0, 3, 0, 0, 3, 3, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 0, 3, 0, 0, 3], [3, 3, 3, 3, 0, 3, 3, 0, 0, 0, 3, 3, 3, 3, 0], [0, 0, 0, 3, 3, 0, 0, 0, 3, 3, 0, 0, 3, 0, 3], [3, 0, 3, 0, 3, 3, 0, 3, 3, 3, 3, 3, 3, 0, 3]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 8, 0, 8, 8, 8], [8, 0, 0, 8, 0, 0, 0, 8, 8, 8, 8, 0, 8, 0, 8], [8, 0, 0, 8, 0, 8, 8, 8, 8, 0, 0, 0, 0, 8, 0], [8, 8, 0, 0, 8, 0, 8, 0, 8, 8, 0, 8, 0, 8, 0], [8, 0, 8, 8, 8, 0, 0, 8, 0, 0, 0, 0, 0, 0, 8], [8, 8, 8, 8, 0, 0, 8, 8, 0, 0, 0, 0, 8, 8, 8], [8, 0, 0, 8, 0, 8, 8, 0, 0, 0, 8, 8, 8, 0, 8], [0, 8, 0, 8, 0, 8, 0, 0, 8, 8, 0, 8, 8, 0, 8], [0, 0, 0, 8, 0, 8, 0, 8, 0, 8, 0, 8, 0, 0, 8], [0, 8, 8, 0, 0, 8, 0, 0, 8, 8, 0, 0, 8, 0, 8], [8, 0, 8, 8, 8, 8, 0, 0, 0, 0, 8, 0, 0, 8, 0], [8, 0, 8, 8, 0, 0, 0, 8, 0, 8, 8, 8, 8, 0, 0], [8, 8, 0, 0, 0, 0, 8, 0, 8, 0, 0, 0, 8, 8, 8], [8, 8, 0, 8, 8, 0, 8, 8, 8, 0, 0, 0, 8, 0, 8], [8, 0, 0, 8, 8, 8, 0, 8, 0, 8, 8, 8, 0, 0, 8], [9, 0, 9, 9, 9, 9, 0, 9, 0, 9, 0, 9, 9, 9, 9], [9, 9, 0, 9, 9, 9, 0, 0, 9, 0, 0, 0, 9, 0, 0], [0, 0, 0, 9, 9, 9, 9, 9, 0, 9, 9, 0, 9, 0, 9], [9, 9, 9, 9, 0, 9, 0, 0, 0, 0, 9, 0, 9, 0, 0], [0, 9, 0, 9, 0, 9, 9, 0, 9, 0, 0, 9, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 9, 0, 9, 9, 9], [0, 0, 0, 9, 9, 9, 0, 0, 0, 9, 9, 9, 0, 9, 9], [9, 0, 9, 9, 0, 0, 0, 9, 9, 0, 9, 0, 0, 9, 9], [0, 9, 9, 9, 0, 9, 0, 9, 9, 0, 0, 9, 0, 0, 9], [0, 0, 0, 9, 9, 9, 0, 0, 9, 9, 9, 9, 9, 0, 0], [9, 9, 9, 9, 0, 9, 9, 0, 9, 9, 0, 0, 9, 0, 0], [0, 9, 0, 9, 0, 0, 9, 9, 0, 9, 0, 9, 0, 0, 0], [0, 9, 9, 0, 0, 0, 0, 0, 9, 9, 9, 9, 9, 0, 9], [0, 0, 9, 0, 0, 9, 0, 9, 0, 0, 0, 0, 9, 0, 0], [9, 9, 9, 9, 9, 9, 0, 0, 9, 0, 9, 0, 0, 9, 9]] -> [[3, 0, 3, 3, 3, 0, 0, 3, 0, 3, 3, 3, 0, 0, 0], [0, 3, 0, 0, 3, 3, 0, 3, 0, 3, 3, 0, 0, 0, 3], [3, 0, 0, 0, 3, 0, 0, 0, 3, 3, 3, 0, 3, 3, 3], [0, 0, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 0], [3, 3, 3, 0, 3, 3, 3, 3, 3, 0, 0, 3, 0, 0, 3], [3, 3, 3, 3, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0], [3, 0, 0, 0, 3, 0, 3, 0, 0, 3, 0, 0, 3, 3, 0], [3, 3, 3, 0, 0, 3, 0, 3, 0, 3, 3, 3, 3, 3, 0], [0, 3, 3, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0], [0, 3, 3, 3, 3, 0, 0, 0, 0, 0, 3, 3, 0, 0, 3], [0, 3, 0, 0, 3, 0, 3, 0, 3, 3, 3, 0, 3, 3, 0], [3, 3, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 3, 0, 0], [3, 0, 3, 0, 0, 0, 3, 0, 0, 3, 3, 3, 0, 3, 0], [3, 3, 3, 3, 3, 3, 3, 0, 3, 0, 0, 0, 0, 0, 3], [0, 3, 3, 0, 0, 0, 0, 3, 3, 3, 0, 3, 0, 3, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing the causal function for some elements.\n[[8, 8, 8, 8, 8, 0, 8, 8, 8, 8, 0, 8, 0, 0, 0], [0, 8, 8, 0, 8, 8, 8, 0, 0, 0, 0, 8, 0, 8, 0], [0, 8, 8, 0, 8, 0, 0, 0, 0, 8, 8, 8, 8, 0, 8], [0, 0, 8, 8, 0, 8, 0, 8, 0, 0, 8, 0, 8, 0, 8], [0, 8, 0, 0, 0, 8, 8, 0, 8, 8, 8, 8, 8, 8, 0], [0, 0, 0, 0, 8, 8, 0, 0, 8, 8, 8, 8, 0, 0, 0], [0, 8, 8, 0, 8, 0, 0, 8, 8, 8, 0, 0, 0, 8, 0], [8, 0, 8, 0, 8, 0, 8, 8, 0, 0, 8, 0, 0, 8, 0], [8, 8, 8, 0, 8, 0, 8, 0, 8, 0, 8, 0, 8, 8, 0], [8, 0, 0, 8, 8, 0, 8, 8, 0, 0, 8, 8, 0, 8, 0], [0, 8, 0, 0, 0, 0, 8, 8, 8, 8, 0, 8, 8, 0, 8], [0, 8, 0, 0, 8, 8, 8, 0, 8, 0, 0, 0, 0, 8, 8], [0, 0, 8, 8, 8, 8, 0, 8, 0, 8, 8, 8, 0, 0, 0], [0, 0, 8, 0, 0, 8, 0, 0, 0, 8, 8, 8, 0, 8, 0], [0, 8, 8, 0, 0, 0, 8, 0, 8, 0, 0, 0, 8, 8, 0], [9, 0, 9, 9, 9, 9, 0, 9, 0, 9, 0, 9, 9, 9, 9], [9, 9, 0, 9, 9, 9, 0, 0, 9, 0, 0, 0, 9, 0, 0], [0, 0, 0, 9, 9, 9, 9, 9, 0, 9, 9, 0, 9, 0, 9], [9, 9, 9, 9, 0, 9, 0, 0, 0, 0, 9, 0, 9, 0, 0], [0, 9, 0, 9, 0, 9, 9, 0, 9, 0, 0, 9, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 9, 0, 9, 9, 9], [0, 0, 0, 9, 9, 9, 0, 0, 0, 9, 9, 9, 0, 9, 9], [9, 0, 9, 9, 0, 0, 0, 9, 9, 0, 9, 0, 0, 9, 9], [0, 9, 9, 9, 0, 9, 0, 9, 9, 0, 0, 9, 0, 0, 9], [0, 0, 0, 9, 9, 9, 0, 0, 9, 9, 9, 9, 9, 0, 0], [9, 9, 9, 9, 0, 9, 9, 0, 9, 9, 0, 0, 9, 0, 0], [0, 9, 0, 9, 0, 0, 9, 9, 0, 9, 0, 9, 0, 0, 0], [0, 9, 9, 0, 0, 0, 0, 0, 9, 9, 9, 9, 9, 0, 9], [0, 0, 9, 0, 0, 9, 0, 9, 0, 0, 0, 0, 9, 0, 0], [9, 9, 9, 9, 9, 9, 0, 0, 9, 0, 9, 0, 0, 9, 9]] -> ",
+                "test": {
+                    "input": [
+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                            0,
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+                        [
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+                            0,
+                            9,
+                            0,
+                            0,
+                            9,
+                            9
+                        ]
+                    ],
+                    "output": [
+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3
+                        ],
+                        [
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0
+                        ],
+                        [
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3
+                        ],
+                        [
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0
+                        ],
+                        [
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3
+                        ]
+                    ]
+                }
+            },
+            "Replicate 1": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 8, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8], [0, 0, 0, 0, 8, 0, 0, 0, 0, 8, 8, 0, 8, 8, 0], [0, 8, 8, 0, 8, 0, 0, 8, 0, 8, 0, 8, 0, 0, 0], [8, 0, 0, 8, 0, 0, 8, 0, 8, 8, 8, 0, 8, 8, 8], [0, 0, 0, 8, 8, 0, 0, 8, 0, 8, 0, 8, 0, 8, 8], [0, 8, 0, 8, 0, 8, 0, 0, 0, 8, 0, 0, 0, 0, 8], [8, 8, 0, 0, 0, 8, 0, 0, 8, 0, 8, 8, 8, 8, 0], [0, 0, 0, 8, 8, 0, 8, 8, 0, 8, 8, 8, 8, 0, 0], [0, 0, 0, 8, 0, 8, 8, 8, 0, 0, 8, 8, 0, 0, 8], [0, 8, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 8, 8, 0], [0, 0, 8, 8, 0, 0, 0, 8, 0, 8, 8, 8, 8, 8, 8], [0, 8, 8, 0, 0, 0, 8, 8, 0, 0, 8, 0, 0, 0, 0], [8, 0, 0, 0, 0, 0, 8, 0, 0, 8, 0, 8, 8, 8, 8], [8, 8, 8, 0, 0, 0, 8, 8, 8, 0, 8, 8, 8, 0, 0], [8, 8, 0, 8, 0, 0, 8, 0, 8, 0, 0, 8, 0, 0, 8], [0, 9, 0, 0, 9, 0, 9, 9, 0, 9, 9, 0, 0, 9, 9], [9, 9, 0, 0, 9, 0, 0, 0, 9, 9, 0, 0, 0, 9, 0], [9, 0, 0, 9, 0, 9, 0, 0, 9, 9, 0, 9, 9, 0, 0], [9, 9, 0, 0, 0, 0, 0, 0, 9, 0, 9, 9, 9, 0, 9], [0, 0, 0, 9, 9, 9, 0, 0, 9, 0, 9, 0, 9, 0, 9], [9, 9, 9, 0, 0, 9, 9, 0, 0, 9, 9, 9, 0, 9, 9], [9, 0, 9, 0, 9, 0, 9, 9, 0, 0, 0, 0, 0, 0, 9], [9, 9, 0, 9, 0, 9, 9, 0, 0, 9, 9, 9, 9, 9, 0], [0, 9, 0, 9, 9, 9, 9, 0, 9, 0, 9, 9, 0, 0, 9], [9, 9, 9, 9, 0, 9, 9, 0, 9, 9, 0, 0, 0, 9, 0], [0, 0, 9, 9, 0, 9, 0, 0, 0, 9, 9, 0, 0, 0, 9], [9, 9, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 9, 9, 0], [0, 9, 0, 9, 9, 0, 0, 9, 9, 0, 0, 0, 0, 0, 9], [0, 9, 0, 0, 0, 0, 9, 0, 9, 0, 0, 0, 9, 9, 0], [9, 0, 0, 9, 0, 0, 0, 0, 0, 0, 9, 0, 9, 9, 9]] -> [[0, 0, 0, 0, 0, 0, 3, 3, 0, 3, 3, 0, 0, 3, 0], [3, 3, 0, 0, 0, 0, 0, 0, 3, 0, 3, 0, 3, 0, 0], [3, 3, 3, 3, 3, 3, 0, 3, 3, 0, 0, 0, 3, 0, 0], [0, 3, 0, 3, 0, 0, 3, 0, 0, 3, 0, 3, 0, 3, 0], [0, 0, 0, 0, 0, 3, 0, 3, 3, 3, 3, 3, 3, 3, 0], [3, 0, 3, 3, 0, 0, 3, 0, 0, 0, 3, 3, 0, 3, 0], [0, 3, 3, 0, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3], [3, 3, 0, 0, 3, 3, 0, 3, 0, 0, 0, 0, 0, 3, 0], [0, 3, 0, 0, 3, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0], [3, 0, 3, 3, 0, 3, 0, 3, 0, 3, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 3, 0, 3, 0, 0, 0, 3, 3, 3, 0], [3, 0, 3, 0, 0, 0, 3, 3, 3, 0, 3, 0, 3, 3, 0], [3, 3, 0, 3, 3, 0, 3, 3, 3, 3, 0, 3, 3, 3, 0], [3, 0, 3, 0, 0, 0, 0, 3, 0, 0, 3, 3, 0, 3, 0], [0, 3, 0, 0, 0, 0, 3, 0, 3, 0, 3, 3, 3, 3, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 8, 0, 8, 8, 8], [8, 0, 0, 8, 0, 0, 0, 8, 8, 8, 8, 0, 8, 0, 8], [8, 0, 0, 8, 0, 8, 8, 8, 8, 0, 0, 0, 0, 8, 0], [8, 8, 0, 0, 8, 0, 8, 0, 8, 8, 0, 8, 0, 8, 0], [8, 0, 8, 8, 8, 0, 0, 8, 0, 0, 0, 0, 0, 0, 8], [8, 8, 8, 8, 0, 0, 8, 8, 0, 0, 0, 0, 8, 8, 8], [8, 0, 0, 8, 0, 8, 8, 0, 0, 0, 8, 8, 8, 0, 8], [0, 8, 0, 8, 0, 8, 0, 0, 8, 8, 0, 8, 8, 0, 8], [0, 0, 0, 8, 0, 8, 0, 8, 0, 8, 0, 8, 0, 0, 8], [0, 8, 8, 0, 0, 8, 0, 0, 8, 8, 0, 0, 8, 0, 8], [8, 0, 8, 8, 8, 8, 0, 0, 0, 0, 8, 0, 0, 8, 0], [8, 0, 8, 8, 0, 0, 0, 8, 0, 8, 8, 8, 8, 0, 0], [8, 8, 0, 0, 0, 0, 8, 0, 8, 0, 0, 0, 8, 8, 8], [8, 8, 0, 8, 8, 0, 8, 8, 8, 0, 0, 0, 8, 0, 8], [8, 0, 0, 8, 8, 8, 0, 8, 0, 8, 8, 8, 0, 0, 8], [9, 0, 9, 9, 9, 9, 0, 9, 0, 9, 0, 9, 9, 9, 9], [9, 9, 0, 9, 9, 9, 0, 0, 9, 0, 0, 0, 9, 0, 0], [0, 0, 0, 9, 9, 9, 9, 9, 0, 9, 9, 0, 9, 0, 9], [9, 9, 9, 9, 0, 9, 0, 0, 0, 0, 9, 0, 9, 0, 0], [0, 9, 0, 9, 0, 9, 9, 0, 9, 0, 0, 9, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 9, 0, 9, 9, 9], [0, 0, 0, 9, 9, 9, 0, 0, 0, 9, 9, 9, 0, 9, 9], [9, 0, 9, 9, 0, 0, 0, 9, 9, 0, 9, 0, 0, 9, 9], [0, 9, 9, 9, 0, 9, 0, 9, 9, 0, 0, 9, 0, 0, 9], [0, 0, 0, 9, 9, 9, 0, 0, 9, 9, 9, 9, 9, 0, 0], [9, 9, 9, 9, 0, 9, 9, 0, 9, 9, 0, 0, 9, 0, 0], [0, 9, 0, 9, 0, 0, 9, 9, 0, 9, 0, 9, 0, 0, 0], [0, 9, 9, 0, 0, 0, 0, 0, 9, 9, 9, 9, 9, 0, 9], [0, 0, 9, 0, 0, 9, 0, 9, 0, 0, 0, 0, 9, 0, 0], [9, 9, 9, 9, 9, 9, 0, 0, 9, 0, 9, 0, 0, 9, 9]] -> [[3, 0, 3, 3, 3, 0, 0, 3, 0, 3, 3, 3, 0, 0, 0], [0, 3, 0, 0, 3, 3, 0, 3, 0, 3, 3, 0, 0, 0, 3], [3, 0, 0, 0, 3, 0, 0, 0, 3, 3, 3, 0, 3, 3, 3], [0, 0, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 0], [3, 3, 3, 0, 3, 3, 3, 3, 3, 0, 0, 3, 0, 0, 3], [3, 3, 3, 3, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0], [3, 0, 0, 0, 3, 0, 3, 0, 0, 3, 0, 0, 3, 3, 0], [3, 3, 3, 0, 0, 3, 0, 3, 0, 3, 3, 3, 3, 3, 0], [0, 3, 3, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0], [0, 3, 3, 3, 3, 0, 0, 0, 0, 0, 3, 3, 0, 0, 3], [0, 3, 0, 0, 3, 0, 3, 0, 3, 3, 3, 0, 3, 3, 0], [3, 3, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 3, 0, 0], [3, 0, 3, 0, 0, 0, 3, 0, 0, 3, 3, 3, 0, 3, 0], [3, 3, 3, 3, 3, 3, 3, 0, 3, 0, 0, 0, 0, 0, 3], [0, 3, 3, 0, 0, 0, 0, 3, 3, 3, 0, 3, 0, 3, 0]]\nExample input-output arrays:\n[[0, 8, 0, 0, 0, 0, 0, 8, 0, 8, 8, 0, 8, 0, 0], [0, 8, 8, 8, 8, 0, 0, 0, 8, 0, 8, 0, 8, 8, 8], [0, 0, 8, 8, 0, 0, 0, 8, 0, 8, 8, 8, 8, 0, 0], [0, 8, 8, 8, 0, 8, 8, 0, 0, 0, 8, 0, 8, 8, 8], [8, 0, 8, 8, 8, 0, 0, 8, 0, 0, 0, 0, 0, 8, 8], [8, 0, 8, 0, 0, 0, 8, 8, 0, 0, 0, 8, 8, 0, 0], [0, 0, 8, 0, 0, 8, 0, 0, 0, 0, 0, 8, 0, 0, 8], [8, 8, 8, 0, 0, 8, 8, 0, 0, 8, 0, 8, 8, 8, 0], [8, 8, 8, 0, 8, 0, 8, 8, 0, 8, 0, 0, 8, 0, 0], [8, 0, 0, 8, 8, 8, 8, 8, 8, 0, 8, 8, 0, 8, 0], [8, 8, 8, 0, 8, 0, 0, 8, 0, 0, 8, 0, 0, 0, 0], [0, 8, 0, 8, 8, 0, 0, 0, 0, 8, 0, 0, 8, 0, 0], [8, 0, 0, 8, 8, 0, 0, 8, 0, 8, 8, 8, 8, 0, 8], [0, 8, 0, 8, 8, 0, 0, 8, 0, 0, 8, 8, 8, 8, 8], [0, 0, 0, 0, 8, 8, 0, 8, 0, 0, 0, 0, 8, 8, 8], [0, 9, 9, 9, 0, 0, 0, 0, 0, 0, 9, 0, 9, 0, 0], [9, 9, 9, 9, 9, 9, 9, 0, 9, 0, 9, 0, 9, 0, 0], [9, 0, 0, 9, 0, 9, 0, 9, 0, 9, 0, 0, 0, 0, 9], [0, 9, 9, 0, 0, 0, 9, 9, 9, 0, 9, 9, 0, 9, 0], [9, 9, 9, 0, 0, 0, 9, 0, 9, 0, 9, 9, 0, 0, 9], [0, 9, 9, 9, 0, 9, 9, 0, 0, 0, 0, 0, 9, 9, 0], [9, 0, 9, 9, 0, 0, 9, 9, 9, 0, 0, 9, 9, 9, 9], [9, 0, 9, 9, 9, 9, 9, 9, 9, 0, 0, 9, 0, 9, 0], [9, 9, 0, 9, 0, 0, 9, 0, 0, 0, 0, 9, 9, 9, 9], [0, 0, 9, 9, 0, 9, 9, 0, 0, 0, 9, 9, 9, 9, 0], [0, 9, 0, 9, 9, 9, 0, 9, 9, 9, 9, 0, 9, 0, 0], [0, 9, 0, 9, 9, 9, 9, 9, 9, 0, 0, 9, 9, 0, 9], [0, 9, 9, 0, 9, 9, 9, 9, 0, 9, 0, 0, 0, 9, 9], [0, 9, 0, 0, 0, 0, 0, 9, 9, 9, 9, 9, 0, 9, 0], [9, 0, 9, 0, 0, 0, 0, 0, 9, 9, 9, 9, 0, 9, 0]] -> [[0, 0, 3, 3, 0, 0, 0, 3, 0, 3, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 3, 3], [3, 0, 3, 0, 0, 3, 0, 0, 0, 0, 3, 3, 3, 0, 3], [0, 0, 0, 3, 0, 3, 0, 3, 3, 0, 0, 3, 3, 0, 3], [0, 3, 0, 3, 3, 0, 3, 3, 3, 0, 3, 3, 0, 3, 0], [3, 3, 0, 3, 0, 3, 0, 3, 0, 0, 0, 3, 0, 3, 0], [3, 0, 0, 3, 0, 3, 3, 3, 3, 0, 0, 0, 3, 3, 0], [0, 3, 0, 3, 3, 0, 0, 3, 3, 3, 0, 0, 3, 0, 0], [0, 0, 3, 3, 3, 0, 0, 3, 0, 3, 0, 3, 0, 3, 3], [3, 0, 3, 0, 3, 0, 0, 3, 3, 0, 0, 0, 3, 0, 0], [3, 0, 3, 3, 0, 3, 0, 0, 3, 3, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 0, 3, 0, 0, 3], [3, 3, 3, 3, 0, 3, 3, 0, 0, 0, 3, 3, 3, 3, 0], [0, 0, 0, 3, 3, 0, 0, 0, 3, 3, 0, 0, 3, 0, 3], [3, 0, 3, 0, 3, 3, 0, 3, 3, 3, 3, 3, 3, 0, 3]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 8, 0, 0, 0, 0, 0, 8, 0, 8, 8, 0, 8, 0, 0], [0, 8, 8, 8, 8, 0, 0, 0, 8, 0, 8, 0, 8, 8, 8], [0, 0, 8, 8, 0, 0, 0, 8, 0, 8, 8, 8, 8, 0, 0], [0, 8, 8, 8, 0, 8, 8, 0, 0, 0, 8, 0, 8, 8, 8], [8, 0, 8, 8, 8, 0, 0, 8, 0, 0, 0, 0, 0, 8, 8], [8, 0, 8, 0, 0, 0, 8, 8, 0, 0, 0, 8, 8, 0, 0], [0, 0, 8, 0, 0, 8, 0, 0, 0, 0, 0, 8, 0, 0, 8], [8, 8, 8, 0, 0, 8, 8, 0, 0, 8, 0, 8, 8, 8, 0], [8, 8, 8, 0, 8, 0, 8, 8, 0, 8, 0, 0, 8, 0, 0], [8, 0, 0, 8, 8, 8, 8, 8, 8, 0, 8, 8, 0, 8, 0], [8, 8, 8, 0, 8, 0, 0, 8, 0, 0, 8, 0, 0, 0, 0], [0, 8, 0, 8, 8, 0, 0, 0, 0, 8, 0, 0, 8, 0, 0], [8, 0, 0, 8, 8, 0, 0, 8, 0, 8, 8, 8, 8, 0, 8], [0, 8, 0, 8, 8, 0, 0, 8, 0, 0, 8, 8, 8, 8, 8], [0, 0, 0, 0, 8, 8, 0, 8, 0, 0, 0, 0, 8, 8, 8], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            0,
+                            8,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            8,
+                            0,
+                            8,
+                            8,
+                            0,
+                            8,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            8,
+                            8,
+                            8,
+                            8,
+                            0,
+                            0,
+                            0,
+                            8,
+                            0,
+                            8,
+                            0,
+                            8,
+                            8,
+                            8
+                        ],
+                        [
+                            0,
+                            0,
+                            8,
+                            8,
+                            0,
+                            0,
+                            0,
+                            8,
+                            0,
+                            8,
+                            8,
+                            8,
+                            8,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            8,
+                            8,
+                            8,
+                            0,
+                            8,
+                            8,
+                            0,
+                            0,
+                            0,
+                            8,
+                            0,
+                            8,
+                            8,
+                            8
+                        ],
+                        [
+                            8,
+                            0,
+                            8,
+                            8,
+                            8,
+                            0,
+                            0,
+                            8,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            8,
+                            8
+                        ],
+                        [
+                            8,
+                            0,
+                            8,
+                            0,
+                            0,
+                            0,
+                            8,
+                            8,
+                            0,
+                            0,
+                            0,
+                            8,
+                            8,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            8,
+                            0,
+                            0,
+                            8,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            8,
+                            0,
+                            0,
+                            8
+                        ],
+                        [
+                            8,
+                            8,
+                            8,
+                            0,
+                            0,
+                            8,
+                            8,
+                            0,
+                            0,
+                            8,
+                            0,
+                            8,
+                            8,
+                            8,
+                            0
+                        ],
+                        [
+                            8,
+                            8,
+                            8,
+                            0,
+                            8,
+                            0,
+                            8,
+                            8,
+                            0,
+                            8,
+                            0,
+                            0,
+                            8,
+                            0,
+                            0
+                        ],
+                        [
+                            8,
+                            0,
+                            0,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            0,
+                            8,
+                            8,
+                            0,
+                            8,
+                            0
+                        ],
+                        [
+                            8,
+                            8,
+                            8,
+                            0,
+                            8,
+                            0,
+                            0,
+                            8,
+                            0,
+                            0,
+                            8,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
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+                            0,
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+                            0,
+                            0,
+                            0,
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+                            0,
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+                            8,
+                            0,
+                            0
+                        ],
+                        [
+                            8,
+                            0,
+                            0,
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+                            8,
+                            0,
+                            0,
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+                            0,
+                            8,
+                            8,
+                            8,
+                            8,
+                            0,
+                            8
+                        ],
+                        [
+                            0,
+                            8,
+                            0,
+                            8,
+                            8,
+                            0,
+                            0,
+                            8,
+                            0,
+                            0,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            8,
+                            8,
+                            0,
+                            8,
+                            0,
+                            0,
+                            0,
+                            0,
+                            8,
+                            8,
+                            8
+                        ],
+                        [
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9
+                        ],
+                        [
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9
+                        ],
+                        [
+                            9,
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                    ],
+                    "output": [
+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        ]
+                    ]
+                }
+            },
+            "Replicate 2": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[8, 0, 8, 0, 0, 8, 8, 0, 0, 8, 8, 8, 0, 0, 0], [0, 0, 0, 0, 8, 8, 0, 8, 0, 8, 8, 0, 0, 8, 8], [0, 8, 0, 8, 0, 0, 8, 8, 8, 0, 0, 8, 0, 0, 0], [8, 0, 8, 0, 0, 8, 0, 0, 8, 8, 8, 8, 8, 0, 8], [0, 0, 8, 8, 8, 8, 0, 0, 0, 0, 8, 0, 8, 8, 0], [8, 0, 8, 0, 8, 8, 0, 0, 8, 0, 8, 8, 0, 8, 8], [8, 0, 8, 0, 0, 8, 0, 0, 0, 0, 8, 8, 8, 8, 8], [0, 8, 0, 8, 0, 8, 0, 0, 0, 0, 8, 0, 8, 8, 8], [8, 0, 0, 8, 8, 8, 0, 0, 0, 0, 8, 8, 8, 8, 8], [8, 0, 0, 8, 0, 0, 0, 0, 8, 0, 8, 0, 8, 8, 0], [8, 8, 0, 0, 8, 0, 0, 8, 0, 0, 8, 8, 0, 8, 8], [8, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 8, 0, 8, 0], [8, 0, 8, 8, 8, 0, 0, 0, 0, 0, 8, 8, 8, 8, 8], [8, 8, 0, 0, 8, 0, 8, 8, 8, 8, 8, 8, 0, 0, 0], [8, 0, 0, 8, 0, 0, 0, 8, 8, 8, 0, 0, 0, 8, 0], [0, 0, 0, 0, 0, 9, 0, 9, 0, 0, 0, 0, 0, 9, 0], [9, 9, 0, 9, 9, 0, 9, 0, 9, 0, 9, 0, 0, 9, 9], [0, 0, 0, 9, 9, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0], [0, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 9, 0, 0, 9], [0, 0, 0, 9, 9, 0, 9, 9, 9, 9, 9, 9, 9, 0, 9], [9, 9, 9, 9, 9, 0, 9, 0, 0, 9, 0, 9, 9, 9, 9], [0, 9, 9, 0, 9, 0, 9, 0, 9, 9, 0, 9, 0, 9, 9], [9, 0, 0, 9, 9, 0, 9, 0, 0, 9, 0, 9, 9, 0, 0], [9, 9, 9, 0, 0, 0, 0, 9, 9, 0, 9, 0, 0, 9, 9], [0, 0, 9, 9, 0, 9, 9, 0, 0, 0, 9, 9, 9, 0, 0], [9, 9, 0, 9, 9, 9, 9, 9, 9, 0, 9, 9, 9, 9, 0], [0, 0, 0, 0, 0, 9, 0, 9, 0, 0, 9, 9, 0, 9, 0], [0, 0, 0, 9, 9, 9, 0, 9, 0, 9, 9, 9, 0, 9, 0], [0, 0, 9, 0, 9, 9, 0, 9, 0, 9, 0, 0, 0, 9, 9], [0, 0, 0, 0, 9, 9, 0, 9, 9, 0, 9, 9, 9, 0, 0]] -> [[3, 0, 3, 0, 0, 0, 3, 3, 0, 3, 3, 3, 0, 3, 0], [3, 3, 0, 3, 0, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0], [0, 3, 0, 0, 3, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0], [3, 0, 0, 0, 3, 3, 3, 0, 0, 3, 0, 0, 3, 0, 0], [0, 0, 3, 0, 0, 3, 3, 3, 3, 3, 0, 3, 0, 3, 3], [0, 3, 0, 3, 0, 3, 3, 0, 3, 3, 3, 0, 3, 0, 0], [3, 3, 0, 0, 3, 3, 3, 0, 3, 3, 3, 0, 3, 0, 0], [3, 3, 0, 0, 3, 3, 3, 0, 0, 3, 3, 3, 0, 3, 3], [0, 3, 3, 3, 3, 3, 0, 3, 3, 0, 0, 3, 3, 0, 0], [3, 0, 3, 0, 0, 3, 3, 0, 3, 0, 0, 3, 0, 3, 0], [0, 0, 0, 3, 0, 3, 3, 0, 3, 0, 0, 0, 3, 0, 3], [3, 0, 0, 0, 3, 0, 3, 3, 0, 0, 3, 0, 0, 0, 0], [3, 0, 3, 0, 0, 3, 0, 3, 0, 3, 0, 0, 3, 0, 3], [3, 3, 3, 0, 0, 3, 3, 0, 3, 0, 3, 3, 0, 3, 3], [3, 0, 0, 3, 3, 3, 0, 0, 0, 3, 3, 3, 3, 3, 0]]\nExample input-output arrays:\n[[0, 8, 0, 0, 0, 0, 0, 8, 0, 8, 8, 0, 8, 0, 0], [0, 8, 8, 8, 8, 0, 0, 0, 8, 0, 8, 0, 8, 8, 8], [0, 0, 8, 8, 0, 0, 0, 8, 0, 8, 8, 8, 8, 0, 0], [0, 8, 8, 8, 0, 8, 8, 0, 0, 0, 8, 0, 8, 8, 8], [8, 0, 8, 8, 8, 0, 0, 8, 0, 0, 0, 0, 0, 8, 8], [8, 0, 8, 0, 0, 0, 8, 8, 0, 0, 0, 8, 8, 0, 0], [0, 0, 8, 0, 0, 8, 0, 0, 0, 0, 0, 8, 0, 0, 8], [8, 8, 8, 0, 0, 8, 8, 0, 0, 8, 0, 8, 8, 8, 0], [8, 8, 8, 0, 8, 0, 8, 8, 0, 8, 0, 0, 8, 0, 0], [8, 0, 0, 8, 8, 8, 8, 8, 8, 0, 8, 8, 0, 8, 0], [8, 8, 8, 0, 8, 0, 0, 8, 0, 0, 8, 0, 0, 0, 0], [0, 8, 0, 8, 8, 0, 0, 0, 0, 8, 0, 0, 8, 0, 0], [8, 0, 0, 8, 8, 0, 0, 8, 0, 8, 8, 8, 8, 0, 8], [0, 8, 0, 8, 8, 0, 0, 8, 0, 0, 8, 8, 8, 8, 8], [0, 0, 0, 0, 8, 8, 0, 8, 0, 0, 0, 0, 8, 8, 8], [0, 9, 9, 9, 0, 0, 0, 0, 0, 0, 9, 0, 9, 0, 0], [9, 9, 9, 9, 9, 9, 9, 0, 9, 0, 9, 0, 9, 0, 0], [9, 0, 0, 9, 0, 9, 0, 9, 0, 9, 0, 0, 0, 0, 9], [0, 9, 9, 0, 0, 0, 9, 9, 9, 0, 9, 9, 0, 9, 0], [9, 9, 9, 0, 0, 0, 9, 0, 9, 0, 9, 9, 0, 0, 9], [0, 9, 9, 9, 0, 9, 9, 0, 0, 0, 0, 0, 9, 9, 0], [9, 0, 9, 9, 0, 0, 9, 9, 9, 0, 0, 9, 9, 9, 9], [9, 0, 9, 9, 9, 9, 9, 9, 9, 0, 0, 9, 0, 9, 0], [9, 9, 0, 9, 0, 0, 9, 0, 0, 0, 0, 9, 9, 9, 9], [0, 0, 9, 9, 0, 9, 9, 0, 0, 0, 9, 9, 9, 9, 0], [0, 9, 0, 9, 9, 9, 0, 9, 9, 9, 9, 0, 9, 0, 0], [0, 9, 0, 9, 9, 9, 9, 9, 9, 0, 0, 9, 9, 0, 9], [0, 9, 9, 0, 9, 9, 9, 9, 0, 9, 0, 0, 0, 9, 9], [0, 9, 0, 0, 0, 0, 0, 9, 9, 9, 9, 9, 0, 9, 0], [9, 0, 9, 0, 0, 0, 0, 0, 9, 9, 9, 9, 0, 9, 0]] -> [[0, 0, 3, 3, 0, 0, 0, 3, 0, 3, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 3, 3], [3, 0, 3, 0, 0, 3, 0, 0, 0, 0, 3, 3, 3, 0, 3], [0, 0, 0, 3, 0, 3, 0, 3, 3, 0, 0, 3, 3, 0, 3], [0, 3, 0, 3, 3, 0, 3, 3, 3, 0, 3, 3, 0, 3, 0], [3, 3, 0, 3, 0, 3, 0, 3, 0, 0, 0, 3, 0, 3, 0], [3, 0, 0, 3, 0, 3, 3, 3, 3, 0, 0, 0, 3, 3, 0], [0, 3, 0, 3, 3, 0, 0, 3, 3, 3, 0, 0, 3, 0, 0], [0, 0, 3, 3, 3, 0, 0, 3, 0, 3, 0, 3, 0, 3, 3], [3, 0, 3, 0, 3, 0, 0, 3, 3, 0, 0, 0, 3, 0, 0], [3, 0, 3, 3, 0, 3, 0, 0, 3, 3, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 0, 3, 0, 0, 3], [3, 3, 3, 3, 0, 3, 3, 0, 0, 0, 3, 3, 3, 3, 0], [0, 0, 0, 3, 3, 0, 0, 0, 3, 3, 0, 0, 3, 0, 3], [3, 0, 3, 0, 3, 3, 0, 3, 3, 3, 3, 3, 3, 0, 3]]\nExample input-output arrays:\n[[0, 8, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8], [0, 0, 0, 0, 8, 0, 0, 0, 0, 8, 8, 0, 8, 8, 0], [0, 8, 8, 0, 8, 0, 0, 8, 0, 8, 0, 8, 0, 0, 0], [8, 0, 0, 8, 0, 0, 8, 0, 8, 8, 8, 0, 8, 8, 8], [0, 0, 0, 8, 8, 0, 0, 8, 0, 8, 0, 8, 0, 8, 8], [0, 8, 0, 8, 0, 8, 0, 0, 0, 8, 0, 0, 0, 0, 8], [8, 8, 0, 0, 0, 8, 0, 0, 8, 0, 8, 8, 8, 8, 0], [0, 0, 0, 8, 8, 0, 8, 8, 0, 8, 8, 8, 8, 0, 0], [0, 0, 0, 8, 0, 8, 8, 8, 0, 0, 8, 8, 0, 0, 8], [0, 8, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 8, 8, 0], [0, 0, 8, 8, 0, 0, 0, 8, 0, 8, 8, 8, 8, 8, 8], [0, 8, 8, 0, 0, 0, 8, 8, 0, 0, 8, 0, 0, 0, 0], [8, 0, 0, 0, 0, 0, 8, 0, 0, 8, 0, 8, 8, 8, 8], [8, 8, 8, 0, 0, 0, 8, 8, 8, 0, 8, 8, 8, 0, 0], [8, 8, 0, 8, 0, 0, 8, 0, 8, 0, 0, 8, 0, 0, 8], [0, 9, 0, 0, 9, 0, 9, 9, 0, 9, 9, 0, 0, 9, 9], [9, 9, 0, 0, 9, 0, 0, 0, 9, 9, 0, 0, 0, 9, 0], [9, 0, 0, 9, 0, 9, 0, 0, 9, 9, 0, 9, 9, 0, 0], [9, 9, 0, 0, 0, 0, 0, 0, 9, 0, 9, 9, 9, 0, 9], [0, 0, 0, 9, 9, 9, 0, 0, 9, 0, 9, 0, 9, 0, 9], [9, 9, 9, 0, 0, 9, 9, 0, 0, 9, 9, 9, 0, 9, 9], [9, 0, 9, 0, 9, 0, 9, 9, 0, 0, 0, 0, 0, 0, 9], [9, 9, 0, 9, 0, 9, 9, 0, 0, 9, 9, 9, 9, 9, 0], [0, 9, 0, 9, 9, 9, 9, 0, 9, 0, 9, 9, 0, 0, 9], [9, 9, 9, 9, 0, 9, 9, 0, 9, 9, 0, 0, 0, 9, 0], [0, 0, 9, 9, 0, 9, 0, 0, 0, 9, 9, 0, 0, 0, 9], [9, 9, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 9, 9, 0], [0, 9, 0, 9, 9, 0, 0, 9, 9, 0, 0, 0, 0, 0, 9], [0, 9, 0, 0, 0, 0, 9, 0, 9, 0, 0, 0, 9, 9, 0], [9, 0, 0, 9, 0, 0, 0, 0, 0, 0, 9, 0, 9, 9, 9]] -> [[0, 0, 0, 0, 0, 0, 3, 3, 0, 3, 3, 0, 0, 3, 0], [3, 3, 0, 0, 0, 0, 0, 0, 3, 0, 3, 0, 3, 0, 0], [3, 3, 3, 3, 3, 3, 0, 3, 3, 0, 0, 0, 3, 0, 0], [0, 3, 0, 3, 0, 0, 3, 0, 0, 3, 0, 3, 0, 3, 0], [0, 0, 0, 0, 0, 3, 0, 3, 3, 3, 3, 3, 3, 3, 0], [3, 0, 3, 3, 0, 0, 3, 0, 0, 0, 3, 3, 0, 3, 0], [0, 3, 3, 0, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3], [3, 3, 0, 0, 3, 3, 0, 3, 0, 0, 0, 0, 0, 3, 0], [0, 3, 0, 0, 3, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0], [3, 0, 3, 3, 0, 3, 0, 3, 0, 3, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 3, 0, 3, 0, 0, 0, 3, 3, 3, 0], [3, 0, 3, 0, 0, 0, 3, 3, 3, 0, 3, 0, 3, 3, 0], [3, 3, 0, 3, 3, 0, 3, 3, 3, 3, 0, 3, 3, 3, 0], [3, 0, 3, 0, 0, 0, 0, 3, 0, 0, 3, 3, 0, 3, 0], [0, 3, 0, 0, 0, 0, 3, 0, 3, 0, 3, 3, 3, 3, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 9, 0, 0, 9, 0, 9, 9, 0, 9, 9, 0, 0, 9, 9], [9, 9, 0, 0, 9, 0, 0, 0, 9, 9, 0, 0, 0, 9, 0], [9, 0, 0, 9, 0, 9, 0, 0, 9, 9, 0, 9, 9, 0, 0], [9, 9, 0, 0, 0, 0, 0, 0, 9, 0, 9, 9, 9, 0, 9], [0, 0, 0, 9, 9, 9, 0, 0, 9, 0, 9, 0, 9, 0, 9], [9, 9, 9, 0, 0, 9, 9, 0, 0, 9, 9, 9, 0, 9, 9], [9, 0, 9, 0, 9, 0, 9, 9, 0, 0, 0, 0, 0, 0, 9], [9, 9, 0, 9, 0, 9, 9, 0, 0, 9, 9, 9, 9, 9, 0], [0, 9, 0, 9, 9, 9, 9, 0, 9, 0, 9, 9, 0, 0, 9], [9, 9, 9, 9, 0, 9, 9, 0, 9, 9, 0, 0, 0, 9, 0], [0, 0, 9, 9, 0, 9, 0, 0, 0, 9, 9, 0, 0, 0, 9], [9, 9, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 9, 9, 0], [0, 9, 0, 9, 9, 0, 0, 9, 9, 0, 0, 0, 0, 0, 9], [0, 9, 0, 0, 0, 0, 9, 0, 9, 0, 0, 0, 9, 9, 0], [9, 0, 0, 9, 0, 0, 0, 0, 0, 0, 9, 0, 9, 9, 9]] -> ",
+                "test": {
+                    "input": [
+                        [
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+                        [
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+                        [
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+                        ],
+                        [
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+                            0,
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+                        [
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+                            0,
+                            9,
+                            9,
+                            9
+                        ]
+                    ],
+                    "output": [
+                        [
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+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
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+                        [
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+                        [
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+                        ],
+                        [
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+                        [
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+                        ],
+                        [
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+                        [
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+                        ],
+                        [
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+                            3,
+                            0
+                        ],
+                        [
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+                            3,
+                            3,
+                            3,
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+                        ],
+                        [
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+                            3,
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+                            0,
+                            3,
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+                            0
+                        ],
+                        [
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+                            3,
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+                            0,
+                            0,
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+                            3
+                        ],
+                        [
+                            3,
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+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
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+                            3,
+                            0
+                        ],
+                        [
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+                            0,
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+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
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+                            0,
+                            0,
+                            0,
+                            0,
+                            3
+                        ],
+                        [
+                            0,
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+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
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+                        ],
+                        [
+                            3,
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+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
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+                            3,
+                            0,
+                            3,
+                            3,
+                            3
+                        ]
+                    ]
+                }
+            },
+            "Replicate 3": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 8, 0, 0, 0, 0, 0, 8, 0, 8, 8, 0, 8, 0, 0], [0, 8, 8, 8, 8, 0, 0, 0, 8, 0, 8, 0, 8, 8, 8], [0, 0, 8, 8, 0, 0, 0, 8, 0, 8, 8, 8, 8, 0, 0], [0, 8, 8, 8, 0, 8, 8, 0, 0, 0, 8, 0, 8, 8, 8], [8, 0, 8, 8, 8, 0, 0, 8, 0, 0, 0, 0, 0, 8, 8], [8, 0, 8, 0, 0, 0, 8, 8, 0, 0, 0, 8, 8, 0, 0], [0, 0, 8, 0, 0, 8, 0, 0, 0, 0, 0, 8, 0, 0, 8], [8, 8, 8, 0, 0, 8, 8, 0, 0, 8, 0, 8, 8, 8, 0], [8, 8, 8, 0, 8, 0, 8, 8, 0, 8, 0, 0, 8, 0, 0], [8, 0, 0, 8, 8, 8, 8, 8, 8, 0, 8, 8, 0, 8, 0], [8, 8, 8, 0, 8, 0, 0, 8, 0, 0, 8, 0, 0, 0, 0], [0, 8, 0, 8, 8, 0, 0, 0, 0, 8, 0, 0, 8, 0, 0], [8, 0, 0, 8, 8, 0, 0, 8, 0, 8, 8, 8, 8, 0, 8], [0, 8, 0, 8, 8, 0, 0, 8, 0, 0, 8, 8, 8, 8, 8], [0, 0, 0, 0, 8, 8, 0, 8, 0, 0, 0, 0, 8, 8, 8], [0, 9, 9, 9, 0, 0, 0, 0, 0, 0, 9, 0, 9, 0, 0], [9, 9, 9, 9, 9, 9, 9, 0, 9, 0, 9, 0, 9, 0, 0], [9, 0, 0, 9, 0, 9, 0, 9, 0, 9, 0, 0, 0, 0, 9], [0, 9, 9, 0, 0, 0, 9, 9, 9, 0, 9, 9, 0, 9, 0], [9, 9, 9, 0, 0, 0, 9, 0, 9, 0, 9, 9, 0, 0, 9], [0, 9, 9, 9, 0, 9, 9, 0, 0, 0, 0, 0, 9, 9, 0], [9, 0, 9, 9, 0, 0, 9, 9, 9, 0, 0, 9, 9, 9, 9], [9, 0, 9, 9, 9, 9, 9, 9, 9, 0, 0, 9, 0, 9, 0], [9, 9, 0, 9, 0, 0, 9, 0, 0, 0, 0, 9, 9, 9, 9], [0, 0, 9, 9, 0, 9, 9, 0, 0, 0, 9, 9, 9, 9, 0], [0, 9, 0, 9, 9, 9, 0, 9, 9, 9, 9, 0, 9, 0, 0], [0, 9, 0, 9, 9, 9, 9, 9, 9, 0, 0, 9, 9, 0, 9], [0, 9, 9, 0, 9, 9, 9, 9, 0, 9, 0, 0, 0, 9, 9], [0, 9, 0, 0, 0, 0, 0, 9, 9, 9, 9, 9, 0, 9, 0], [9, 0, 9, 0, 0, 0, 0, 0, 9, 9, 9, 9, 0, 9, 0]] -> [[0, 0, 3, 3, 0, 0, 0, 3, 0, 3, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 3, 3], [3, 0, 3, 0, 0, 3, 0, 0, 0, 0, 3, 3, 3, 0, 3], [0, 0, 0, 3, 0, 3, 0, 3, 3, 0, 0, 3, 3, 0, 3], [0, 3, 0, 3, 3, 0, 3, 3, 3, 0, 3, 3, 0, 3, 0], [3, 3, 0, 3, 0, 3, 0, 3, 0, 0, 0, 3, 0, 3, 0], [3, 0, 0, 3, 0, 3, 3, 3, 3, 0, 0, 0, 3, 3, 0], [0, 3, 0, 3, 3, 0, 0, 3, 3, 3, 0, 0, 3, 0, 0], [0, 0, 3, 3, 3, 0, 0, 3, 0, 3, 0, 3, 0, 3, 3], [3, 0, 3, 0, 3, 0, 0, 3, 3, 0, 0, 0, 3, 0, 0], [3, 0, 3, 3, 0, 3, 0, 0, 3, 3, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 0, 3, 0, 0, 3], [3, 3, 3, 3, 0, 3, 3, 0, 0, 0, 3, 3, 3, 3, 0], [0, 0, 0, 3, 3, 0, 0, 0, 3, 3, 0, 0, 3, 0, 3], [3, 0, 3, 0, 3, 3, 0, 3, 3, 3, 3, 3, 3, 0, 3]]\nExample input-output arrays:\n[[0, 8, 0, 0, 0, 0, 0, 8, 0, 8, 8, 0, 8, 0, 0], [0, 8, 8, 8, 8, 0, 0, 0, 8, 0, 8, 0, 8, 8, 8], [0, 0, 8, 8, 0, 0, 0, 8, 0, 8, 8, 8, 8, 0, 0], [0, 8, 8, 8, 0, 8, 8, 0, 0, 0, 8, 0, 8, 8, 8], [8, 0, 8, 8, 8, 0, 0, 8, 0, 0, 0, 0, 0, 8, 8], [8, 0, 8, 0, 0, 0, 8, 8, 0, 0, 0, 8, 8, 0, 0], [0, 0, 8, 0, 0, 8, 0, 0, 0, 0, 0, 8, 0, 0, 8], [8, 8, 8, 0, 0, 8, 8, 0, 0, 8, 0, 8, 8, 8, 0], [8, 8, 8, 0, 8, 0, 8, 8, 0, 8, 0, 0, 8, 0, 0], [8, 0, 0, 8, 8, 8, 8, 8, 8, 0, 8, 8, 0, 8, 0], [8, 8, 8, 0, 8, 0, 0, 8, 0, 0, 8, 0, 0, 0, 0], [0, 8, 0, 8, 8, 0, 0, 0, 0, 8, 0, 0, 8, 0, 0], [8, 0, 0, 8, 8, 0, 0, 8, 0, 8, 8, 8, 8, 0, 8], [0, 8, 0, 8, 8, 0, 0, 8, 0, 0, 8, 8, 8, 8, 8], [0, 0, 0, 0, 8, 8, 0, 8, 0, 0, 0, 0, 8, 8, 8], [0, 9, 9, 9, 0, 0, 0, 0, 0, 0, 9, 0, 9, 0, 0], [9, 9, 9, 9, 9, 9, 9, 0, 9, 0, 9, 0, 9, 0, 0], [9, 0, 0, 9, 0, 9, 0, 9, 0, 9, 0, 0, 0, 0, 9], [0, 9, 9, 0, 0, 0, 9, 9, 9, 0, 9, 9, 0, 9, 0], [9, 9, 9, 0, 0, 0, 9, 0, 9, 0, 9, 9, 0, 0, 9], [0, 9, 9, 9, 0, 9, 9, 0, 0, 0, 0, 0, 9, 9, 0], [9, 0, 9, 9, 0, 0, 9, 9, 9, 0, 0, 9, 9, 9, 9], [9, 0, 9, 9, 9, 9, 9, 9, 9, 0, 0, 9, 0, 9, 0], [9, 9, 0, 9, 0, 0, 9, 0, 0, 0, 0, 9, 9, 9, 9], [0, 0, 9, 9, 0, 9, 9, 0, 0, 0, 9, 9, 9, 9, 0], [0, 9, 0, 9, 9, 9, 0, 9, 9, 9, 9, 0, 9, 0, 0], [0, 9, 0, 9, 9, 9, 9, 9, 9, 0, 0, 9, 9, 0, 9], [0, 9, 9, 0, 9, 9, 9, 9, 0, 9, 0, 0, 0, 9, 9], [0, 9, 0, 0, 0, 0, 0, 9, 9, 9, 9, 9, 0, 9, 0], [9, 0, 9, 0, 0, 0, 0, 0, 9, 9, 9, 9, 0, 9, 0]] -> [[0, 0, 3, 3, 0, 0, 0, 3, 0, 3, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 3, 3], [3, 0, 3, 0, 0, 3, 0, 0, 0, 0, 3, 3, 3, 0, 3], [0, 0, 0, 3, 0, 3, 0, 3, 3, 0, 0, 3, 3, 0, 3], [0, 3, 0, 3, 3, 0, 3, 3, 3, 0, 3, 3, 0, 3, 0], [3, 3, 0, 3, 0, 3, 0, 3, 0, 0, 0, 3, 0, 3, 0], [3, 0, 0, 3, 0, 3, 3, 3, 3, 0, 0, 0, 3, 3, 0], [0, 3, 0, 3, 3, 0, 0, 3, 3, 3, 0, 0, 3, 0, 0], [0, 0, 3, 3, 3, 0, 0, 3, 0, 3, 0, 3, 0, 3, 3], [3, 0, 3, 0, 3, 0, 0, 3, 3, 0, 0, 0, 3, 0, 0], [3, 0, 3, 3, 0, 3, 0, 0, 3, 3, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 0, 3, 0, 0, 3], [3, 3, 3, 3, 0, 3, 3, 0, 0, 0, 3, 3, 3, 3, 0], [0, 0, 0, 3, 3, 0, 0, 0, 3, 3, 0, 0, 3, 0, 3], [3, 0, 3, 0, 3, 3, 0, 3, 3, 3, 3, 3, 3, 0, 3]]\nExample input-output arrays:\n[[8, 0, 8, 0, 0, 8, 8, 0, 0, 8, 8, 8, 0, 0, 0], [0, 0, 0, 0, 8, 8, 0, 8, 0, 8, 8, 0, 0, 8, 8], [0, 8, 0, 8, 0, 0, 8, 8, 8, 0, 0, 8, 0, 0, 0], [8, 0, 8, 0, 0, 8, 0, 0, 8, 8, 8, 8, 8, 0, 8], [0, 0, 8, 8, 8, 8, 0, 0, 0, 0, 8, 0, 8, 8, 0], [8, 0, 8, 0, 8, 8, 0, 0, 8, 0, 8, 8, 0, 8, 8], [8, 0, 8, 0, 0, 8, 0, 0, 0, 0, 8, 8, 8, 8, 8], [0, 8, 0, 8, 0, 8, 0, 0, 0, 0, 8, 0, 8, 8, 8], [8, 0, 0, 8, 8, 8, 0, 0, 0, 0, 8, 8, 8, 8, 8], [8, 0, 0, 8, 0, 0, 0, 0, 8, 0, 8, 0, 8, 8, 0], [8, 8, 0, 0, 8, 0, 0, 8, 0, 0, 8, 8, 0, 8, 8], [8, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 8, 0, 8, 0], [8, 0, 8, 8, 8, 0, 0, 0, 0, 0, 8, 8, 8, 8, 8], [8, 8, 0, 0, 8, 0, 8, 8, 8, 8, 8, 8, 0, 0, 0], [8, 0, 0, 8, 0, 0, 0, 8, 8, 8, 0, 0, 0, 8, 0], [0, 0, 0, 0, 0, 9, 0, 9, 0, 0, 0, 0, 0, 9, 0], [9, 9, 0, 9, 9, 0, 9, 0, 9, 0, 9, 0, 0, 9, 9], [0, 0, 0, 9, 9, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0], [0, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 9, 0, 0, 9], [0, 0, 0, 9, 9, 0, 9, 9, 9, 9, 9, 9, 9, 0, 9], [9, 9, 9, 9, 9, 0, 9, 0, 0, 9, 0, 9, 9, 9, 9], [0, 9, 9, 0, 9, 0, 9, 0, 9, 9, 0, 9, 0, 9, 9], [9, 0, 0, 9, 9, 0, 9, 0, 0, 9, 0, 9, 9, 0, 0], [9, 9, 9, 0, 0, 0, 0, 9, 9, 0, 9, 0, 0, 9, 9], [0, 0, 9, 9, 0, 9, 9, 0, 0, 0, 9, 9, 9, 0, 0], [9, 9, 0, 9, 9, 9, 9, 9, 9, 0, 9, 9, 9, 9, 0], [0, 0, 0, 0, 0, 9, 0, 9, 0, 0, 9, 9, 0, 9, 0], [0, 0, 0, 9, 9, 9, 0, 9, 0, 9, 9, 9, 0, 9, 0], [0, 0, 9, 0, 9, 9, 0, 9, 0, 9, 0, 0, 0, 9, 9], [0, 0, 0, 0, 9, 9, 0, 9, 9, 0, 9, 9, 9, 0, 0]] -> [[3, 0, 3, 0, 0, 0, 3, 3, 0, 3, 3, 3, 0, 3, 0], [3, 3, 0, 3, 0, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0], [0, 3, 0, 0, 3, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0], [3, 0, 0, 0, 3, 3, 3, 0, 0, 3, 0, 0, 3, 0, 0], [0, 0, 3, 0, 0, 3, 3, 3, 3, 3, 0, 3, 0, 3, 3], [0, 3, 0, 3, 0, 3, 3, 0, 3, 3, 3, 0, 3, 0, 0], [3, 3, 0, 0, 3, 3, 3, 0, 3, 3, 3, 0, 3, 0, 0], [3, 3, 0, 0, 3, 3, 3, 0, 0, 3, 3, 3, 0, 3, 3], [0, 3, 3, 3, 3, 3, 0, 3, 3, 0, 0, 3, 3, 0, 0], [3, 0, 3, 0, 0, 3, 3, 0, 3, 0, 0, 3, 0, 3, 0], [0, 0, 0, 3, 0, 3, 3, 0, 3, 0, 0, 0, 3, 0, 3], [3, 0, 0, 0, 3, 0, 3, 3, 0, 0, 3, 0, 0, 0, 0], [3, 0, 3, 0, 0, 3, 0, 3, 0, 3, 0, 0, 3, 0, 3], [3, 3, 3, 0, 0, 3, 3, 0, 3, 0, 3, 3, 0, 3, 3], [3, 0, 0, 3, 3, 3, 0, 0, 0, 3, 3, 3, 3, 3, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 9, 0, 9, 0, 0, 0, 0, 0, 9, 0], [9, 9, 0, 9, 9, 0, 9, 0, 9, 0, 9, 0, 0, 9, 9], [0, 0, 0, 9, 9, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0], [0, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 9, 0, 0, 9], [0, 0, 0, 9, 9, 0, 9, 9, 9, 9, 9, 9, 9, 0, 9], [9, 9, 9, 9, 9, 0, 9, 0, 0, 9, 0, 9, 9, 9, 9], [0, 9, 9, 0, 9, 0, 9, 0, 9, 9, 0, 9, 0, 9, 9], [9, 0, 0, 9, 9, 0, 9, 0, 0, 9, 0, 9, 9, 0, 0], [9, 9, 9, 0, 0, 0, 0, 9, 9, 0, 9, 0, 0, 9, 9], [0, 0, 9, 9, 0, 9, 9, 0, 0, 0, 9, 9, 9, 0, 0], [9, 9, 0, 9, 9, 9, 9, 9, 9, 0, 9, 9, 9, 9, 0], [0, 0, 0, 0, 0, 9, 0, 9, 0, 0, 9, 9, 0, 9, 0], [0, 0, 0, 9, 9, 9, 0, 9, 0, 9, 9, 9, 0, 9, 0], [0, 0, 9, 0, 9, 9, 0, 9, 0, 9, 0, 0, 0, 9, 9], [0, 0, 0, 0, 9, 9, 0, 9, 9, 0, 9, 9, 9, 0, 0]] -> ",
+                "test": {
+                    "input": [
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+                            9,
+                            9,
+                            9,
+                            0,
+                            9,
+                            9,
+                            9,
+                            9,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            9,
+                            0,
+                            9,
+                            0,
+                            0,
+                            9,
+                            9,
+                            0,
+                            9,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            9,
+                            9,
+                            9,
+                            0,
+                            9,
+                            0,
+                            9,
+                            9,
+                            9,
+                            0,
+                            9,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            9,
+                            0,
+                            9,
+                            9,
+                            0,
+                            9,
+                            0,
+                            9,
+                            0,
+                            0,
+                            0,
+                            9,
+                            9
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            9,
+                            9,
+                            0,
+                            9,
+                            9,
+                            0,
+                            9,
+                            9,
+                            9,
+                            0,
+                            0
+                        ]
+                    ],
+                    "output": [
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0
+                        ],
+                        [
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
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+                        ],
+                        [
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+                            0,
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+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
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+                        ],
+                        [
+                            0,
+                            0,
+                            3,
+                            3,
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+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0
+                        ],
+                        [
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
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+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0
+                        ]
+                    ]
+                }
+            },
+            "Replicate 4": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[8, 0, 0, 0, 0, 8, 8, 8, 8, 0, 8, 8, 0, 8, 0], [0, 0, 8, 0, 8, 8, 8, 0, 8, 8, 8, 0, 8, 0, 0], [0, 0, 0, 8, 8, 0, 8, 0, 0, 0, 8, 0, 8, 8, 0], [0, 0, 8, 0, 0, 0, 8, 0, 0, 8, 8, 8, 0, 8, 8], [8, 8, 0, 0, 0, 0, 0, 0, 8, 0, 8, 8, 0, 0, 0], [8, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 8, 0, 0], [0, 0, 0, 8, 0, 8, 8, 0, 8, 0, 8, 8, 8, 0, 8], [8, 0, 8, 8, 8, 0, 8, 0, 0, 0, 8, 0, 8, 0, 8], [8, 8, 8, 0, 0, 0, 8, 0, 0, 8, 0, 8, 8, 0, 0], [8, 0, 0, 8, 8, 0, 0, 0, 0, 8, 8, 0, 0, 8, 8], [0, 0, 0, 8, 8, 8, 8, 0, 0, 8, 0, 8, 0, 0, 8], [0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 8, 8, 8, 0], [0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 0, 8, 8, 8, 0], [8, 0, 0, 0, 8, 0, 8, 0, 8, 0, 8, 8, 8, 8, 8], [8, 0, 8, 0, 8, 0, 0, 8, 8, 0, 0, 8, 0, 0, 8], [0, 0, 0, 9, 9, 9, 0, 9, 0, 0, 9, 0, 0, 0, 9], [9, 9, 0, 9, 9, 0, 9, 0, 9, 9, 9, 9, 9, 9, 9], [9, 9, 0, 9, 0, 9, 9, 0, 9, 9, 9, 0, 0, 0, 0], [0, 9, 0, 0, 0, 9, 9, 0, 9, 9, 9, 0, 9, 9, 0], [0, 0, 9, 9, 0, 0, 0, 9, 0, 9, 0, 9, 9, 9, 0], [9, 9, 0, 9, 0, 9, 9, 0, 0, 9, 9, 9, 9, 9, 9], [0, 0, 9, 9, 9, 9, 9, 0, 9, 9, 9, 9, 0, 9, 9], [0, 9, 9, 0, 9, 0, 9, 0, 0, 0, 0, 9, 9, 9, 9], [0, 9, 9, 0, 9, 9, 0, 9, 9, 9, 0, 0, 9, 0, 0], [9, 0, 0, 0, 9, 9, 9, 0, 9, 9, 0, 0, 9, 9, 0], [0, 0, 0, 0, 9, 0, 9, 9, 9, 9, 0, 9, 9, 0, 9], [0, 9, 0, 9, 0, 9, 0, 9, 0, 0, 9, 9, 9, 9, 9], [0, 0, 9, 0, 0, 9, 9, 9, 0, 0, 9, 0, 0, 0, 0], [0, 0, 9, 9, 9, 9, 9, 9, 9, 0, 0, 0, 0, 9, 0], [9, 9, 9, 0, 9, 9, 9, 0, 9, 0, 0, 9, 0, 9, 0]] -> [[3, 0, 0, 3, 3, 0, 3, 0, 3, 0, 0, 3, 0, 3, 3], [3, 3, 3, 3, 0, 3, 0, 0, 0, 0, 0, 3, 0, 3, 3], [3, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0], [0, 3, 3, 0, 0, 3, 0, 0, 3, 0, 0, 3, 3, 0, 3], [3, 3, 3, 3, 0, 0, 0, 3, 3, 3, 3, 0, 3, 3, 0], [0, 3, 0, 3, 3, 0, 3, 0, 0, 3, 3, 3, 0, 3, 3], [0, 0, 3, 0, 3, 0, 0, 0, 0, 3, 0, 0, 3, 3, 0], [3, 3, 0, 3, 0, 0, 0, 0, 0, 0, 3, 3, 0, 3, 0], [3, 0, 0, 0, 3, 3, 3, 3, 3, 0, 0, 3, 0, 0, 0], [0, 0, 0, 3, 0, 3, 3, 0, 3, 0, 3, 0, 3, 0, 3], [0, 0, 0, 3, 0, 3, 0, 3, 3, 0, 0, 0, 3, 0, 0], [0, 3, 0, 3, 0, 3, 0, 0, 0, 0, 3, 0, 0, 0, 3], [0, 0, 3, 0, 0, 3, 3, 0, 3, 3, 3, 3, 3, 3, 0], [3, 0, 3, 3, 0, 3, 0, 3, 0, 0, 3, 3, 3, 0, 3], [0, 3, 0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0, 3, 3]]\nExample input-output arrays:\n[[8, 0, 8, 0, 0, 8, 8, 0, 0, 8, 8, 8, 0, 0, 0], [0, 0, 0, 0, 8, 8, 0, 8, 0, 8, 8, 0, 0, 8, 8], [0, 8, 0, 8, 0, 0, 8, 8, 8, 0, 0, 8, 0, 0, 0], [8, 0, 8, 0, 0, 8, 0, 0, 8, 8, 8, 8, 8, 0, 8], [0, 0, 8, 8, 8, 8, 0, 0, 0, 0, 8, 0, 8, 8, 0], [8, 0, 8, 0, 8, 8, 0, 0, 8, 0, 8, 8, 0, 8, 8], [8, 0, 8, 0, 0, 8, 0, 0, 0, 0, 8, 8, 8, 8, 8], [0, 8, 0, 8, 0, 8, 0, 0, 0, 0, 8, 0, 8, 8, 8], [8, 0, 0, 8, 8, 8, 0, 0, 0, 0, 8, 8, 8, 8, 8], [8, 0, 0, 8, 0, 0, 0, 0, 8, 0, 8, 0, 8, 8, 0], [8, 8, 0, 0, 8, 0, 0, 8, 0, 0, 8, 8, 0, 8, 8], [8, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 8, 0, 8, 0], [8, 0, 8, 8, 8, 0, 0, 0, 0, 0, 8, 8, 8, 8, 8], [8, 8, 0, 0, 8, 0, 8, 8, 8, 8, 8, 8, 0, 0, 0], [8, 0, 0, 8, 0, 0, 0, 8, 8, 8, 0, 0, 0, 8, 0], [0, 0, 0, 0, 0, 9, 0, 9, 0, 0, 0, 0, 0, 9, 0], [9, 9, 0, 9, 9, 0, 9, 0, 9, 0, 9, 0, 0, 9, 9], [0, 0, 0, 9, 9, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0], [0, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 9, 0, 0, 9], [0, 0, 0, 9, 9, 0, 9, 9, 9, 9, 9, 9, 9, 0, 9], [9, 9, 9, 9, 9, 0, 9, 0, 0, 9, 0, 9, 9, 9, 9], [0, 9, 9, 0, 9, 0, 9, 0, 9, 9, 0, 9, 0, 9, 9], [9, 0, 0, 9, 9, 0, 9, 0, 0, 9, 0, 9, 9, 0, 0], [9, 9, 9, 0, 0, 0, 0, 9, 9, 0, 9, 0, 0, 9, 9], [0, 0, 9, 9, 0, 9, 9, 0, 0, 0, 9, 9, 9, 0, 0], [9, 9, 0, 9, 9, 9, 9, 9, 9, 0, 9, 9, 9, 9, 0], [0, 0, 0, 0, 0, 9, 0, 9, 0, 0, 9, 9, 0, 9, 0], [0, 0, 0, 9, 9, 9, 0, 9, 0, 9, 9, 9, 0, 9, 0], [0, 0, 9, 0, 9, 9, 0, 9, 0, 9, 0, 0, 0, 9, 9], [0, 0, 0, 0, 9, 9, 0, 9, 9, 0, 9, 9, 9, 0, 0]] -> [[3, 0, 3, 0, 0, 0, 3, 3, 0, 3, 3, 3, 0, 3, 0], [3, 3, 0, 3, 0, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0], [0, 3, 0, 0, 3, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0], [3, 0, 0, 0, 3, 3, 3, 0, 0, 3, 0, 0, 3, 0, 0], [0, 0, 3, 0, 0, 3, 3, 3, 3, 3, 0, 3, 0, 3, 3], [0, 3, 0, 3, 0, 3, 3, 0, 3, 3, 3, 0, 3, 0, 0], [3, 3, 0, 0, 3, 3, 3, 0, 3, 3, 3, 0, 3, 0, 0], [3, 3, 0, 0, 3, 3, 3, 0, 0, 3, 3, 3, 0, 3, 3], [0, 3, 3, 3, 3, 3, 0, 3, 3, 0, 0, 3, 3, 0, 0], [3, 0, 3, 0, 0, 3, 3, 0, 3, 0, 0, 3, 0, 3, 0], [0, 0, 0, 3, 0, 3, 3, 0, 3, 0, 0, 0, 3, 0, 3], [3, 0, 0, 0, 3, 0, 3, 3, 0, 0, 3, 0, 0, 0, 0], [3, 0, 3, 0, 0, 3, 0, 3, 0, 3, 0, 0, 3, 0, 3], [3, 3, 3, 0, 0, 3, 3, 0, 3, 0, 3, 3, 0, 3, 3], [3, 0, 0, 3, 3, 3, 0, 0, 0, 3, 3, 3, 3, 3, 0]]\nExample input-output arrays:\n[[0, 8, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8], [0, 0, 0, 0, 8, 0, 0, 0, 0, 8, 8, 0, 8, 8, 0], [0, 8, 8, 0, 8, 0, 0, 8, 0, 8, 0, 8, 0, 0, 0], [8, 0, 0, 8, 0, 0, 8, 0, 8, 8, 8, 0, 8, 8, 8], [0, 0, 0, 8, 8, 0, 0, 8, 0, 8, 0, 8, 0, 8, 8], [0, 8, 0, 8, 0, 8, 0, 0, 0, 8, 0, 0, 0, 0, 8], [8, 8, 0, 0, 0, 8, 0, 0, 8, 0, 8, 8, 8, 8, 0], [0, 0, 0, 8, 8, 0, 8, 8, 0, 8, 8, 8, 8, 0, 0], [0, 0, 0, 8, 0, 8, 8, 8, 0, 0, 8, 8, 0, 0, 8], [0, 8, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 8, 8, 0], [0, 0, 8, 8, 0, 0, 0, 8, 0, 8, 8, 8, 8, 8, 8], [0, 8, 8, 0, 0, 0, 8, 8, 0, 0, 8, 0, 0, 0, 0], [8, 0, 0, 0, 0, 0, 8, 0, 0, 8, 0, 8, 8, 8, 8], [8, 8, 8, 0, 0, 0, 8, 8, 8, 0, 8, 8, 8, 0, 0], [8, 8, 0, 8, 0, 0, 8, 0, 8, 0, 0, 8, 0, 0, 8], [0, 9, 0, 0, 9, 0, 9, 9, 0, 9, 9, 0, 0, 9, 9], [9, 9, 0, 0, 9, 0, 0, 0, 9, 9, 0, 0, 0, 9, 0], [9, 0, 0, 9, 0, 9, 0, 0, 9, 9, 0, 9, 9, 0, 0], [9, 9, 0, 0, 0, 0, 0, 0, 9, 0, 9, 9, 9, 0, 9], [0, 0, 0, 9, 9, 9, 0, 0, 9, 0, 9, 0, 9, 0, 9], [9, 9, 9, 0, 0, 9, 9, 0, 0, 9, 9, 9, 0, 9, 9], [9, 0, 9, 0, 9, 0, 9, 9, 0, 0, 0, 0, 0, 0, 9], [9, 9, 0, 9, 0, 9, 9, 0, 0, 9, 9, 9, 9, 9, 0], [0, 9, 0, 9, 9, 9, 9, 0, 9, 0, 9, 9, 0, 0, 9], [9, 9, 9, 9, 0, 9, 9, 0, 9, 9, 0, 0, 0, 9, 0], [0, 0, 9, 9, 0, 9, 0, 0, 0, 9, 9, 0, 0, 0, 9], [9, 9, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 9, 9, 0], [0, 9, 0, 9, 9, 0, 0, 9, 9, 0, 0, 0, 0, 0, 9], [0, 9, 0, 0, 0, 0, 9, 0, 9, 0, 0, 0, 9, 9, 0], [9, 0, 0, 9, 0, 0, 0, 0, 0, 0, 9, 0, 9, 9, 9]] -> [[0, 0, 0, 0, 0, 0, 3, 3, 0, 3, 3, 0, 0, 3, 0], [3, 3, 0, 0, 0, 0, 0, 0, 3, 0, 3, 0, 3, 0, 0], [3, 3, 3, 3, 3, 3, 0, 3, 3, 0, 0, 0, 3, 0, 0], [0, 3, 0, 3, 0, 0, 3, 0, 0, 3, 0, 3, 0, 3, 0], [0, 0, 0, 0, 0, 3, 0, 3, 3, 3, 3, 3, 3, 3, 0], [3, 0, 3, 3, 0, 0, 3, 0, 0, 0, 3, 3, 0, 3, 0], [0, 3, 3, 0, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3], [3, 3, 0, 0, 3, 3, 0, 3, 0, 0, 0, 0, 0, 3, 0], [0, 3, 0, 0, 3, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0], [3, 0, 3, 3, 0, 3, 0, 3, 0, 3, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 3, 0, 3, 0, 0, 0, 3, 3, 3, 0], [3, 0, 3, 0, 0, 0, 3, 3, 3, 0, 3, 0, 3, 3, 0], [3, 3, 0, 3, 3, 0, 3, 3, 3, 3, 0, 3, 3, 3, 0], [3, 0, 3, 0, 0, 0, 0, 3, 0, 0, 3, 3, 0, 3, 0], [0, 3, 0, 0, 0, 0, 3, 0, 3, 0, 3, 3, 3, 3, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 6, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6], [0, 0, 0, 0, 6, 0, 0, 0, 0, 6, 6, 0, 6, 6, 0], [0, 6, 6, 0, 6, 0, 0, 6, 0, 6, 0, 6, 0, 0, 0], [6, 0, 0, 6, 0, 0, 6, 0, 6, 6, 6, 0, 6, 6, 6], [0, 0, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6, 0, 6, 6], [0, 6, 0, 6, 0, 6, 0, 0, 0, 6, 0, 0, 0, 0, 6], [6, 6, 0, 0, 0, 6, 0, 0, 6, 0, 6, 6, 6, 6, 0], [0, 0, 0, 6, 6, 0, 6, 6, 0, 6, 6, 6, 6, 0, 0], [0, 0, 0, 6, 0, 6, 6, 6, 0, 0, 6, 6, 0, 0, 6], [0, 6, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 6, 6, 0], [0, 0, 6, 6, 0, 0, 0, 6, 0, 6, 6, 6, 6, 6, 6], [0, 6, 6, 0, 0, 0, 6, 6, 0, 0, 6, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 6, 0, 0, 6, 0, 6, 6, 6, 6], [6, 6, 6, 0, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 0], [6, 6, 0, 6, 0, 0, 6, 0, 6, 0, 0, 6, 0, 0, 6], [0, 9, 0, 0, 9, 0, 9, 9, 0, 9, 9, 0, 0, 9, 9], [9, 9, 0, 0, 9, 0, 0, 0, 9, 9, 0, 0, 0, 9, 0], [9, 0, 0, 9, 0, 9, 0, 0, 9, 9, 0, 9, 9, 0, 0], [9, 9, 0, 0, 0, 0, 0, 0, 9, 0, 9, 9, 9, 0, 9], [0, 0, 0, 9, 9, 9, 0, 0, 9, 0, 9, 0, 9, 0, 9], [9, 9, 9, 0, 0, 9, 9, 0, 0, 9, 9, 9, 0, 9, 9], [9, 0, 9, 0, 9, 0, 9, 9, 0, 0, 0, 0, 0, 0, 9], [9, 9, 0, 9, 0, 9, 9, 0, 0, 9, 9, 9, 9, 9, 0], [0, 9, 0, 9, 9, 9, 9, 0, 9, 0, 9, 9, 0, 0, 9], [9, 9, 9, 9, 0, 9, 9, 0, 9, 9, 0, 0, 0, 9, 0], [0, 0, 9, 9, 0, 9, 0, 0, 0, 9, 9, 0, 0, 0, 9], [9, 9, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 9, 9, 0], [0, 9, 0, 9, 9, 0, 0, 9, 9, 0, 0, 0, 0, 0, 9], [0, 9, 0, 0, 0, 0, 9, 0, 9, 0, 0, 0, 9, 9, 0], [9, 0, 0, 9, 0, 0, 0, 0, 0, 0, 9, 0, 9, 9, 9]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            0,
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0
+                        ],
+                        [
+                            0,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            0,
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+        },
+        "L3": {
+            "Replicate 0": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 8, 0, 8, 8, 8], [8, 0, 0, 8, 0, 0, 0, 8, 8, 8, 8, 0, 8, 0, 8], [8, 0, 0, 8, 0, 8, 8, 8, 8, 0, 0, 0, 0, 8, 0], [8, 8, 0, 0, 8, 0, 8, 0, 8, 8, 0, 8, 0, 8, 0], [8, 0, 8, 8, 8, 0, 0, 8, 0, 0, 0, 0, 0, 0, 8], [8, 8, 8, 8, 0, 0, 8, 8, 0, 0, 0, 0, 8, 8, 8], [8, 0, 0, 8, 0, 8, 8, 0, 0, 0, 8, 8, 8, 0, 8], [0, 8, 0, 8, 0, 8, 0, 0, 8, 8, 0, 8, 8, 0, 8], [0, 0, 0, 8, 0, 8, 0, 8, 0, 8, 0, 8, 0, 0, 8], [0, 8, 8, 0, 0, 8, 0, 0, 8, 8, 0, 0, 8, 0, 8], [8, 0, 8, 8, 8, 8, 0, 0, 0, 0, 8, 0, 0, 8, 0], [8, 0, 8, 8, 0, 0, 0, 8, 0, 8, 8, 8, 8, 0, 0], [8, 8, 0, 0, 0, 0, 8, 0, 8, 0, 0, 0, 8, 8, 8], [8, 8, 0, 8, 8, 0, 8, 8, 8, 0, 0, 0, 8, 0, 8], [8, 0, 0, 8, 8, 8, 0, 8, 0, 8, 8, 8, 0, 0, 8], [9, 0, 9, 9, 9, 9, 0, 9, 0, 9, 0, 9, 9, 9, 9], [9, 9, 0, 9, 9, 9, 0, 0, 9, 0, 0, 0, 9, 0, 0], [0, 0, 0, 9, 9, 9, 9, 9, 0, 9, 9, 0, 9, 0, 9], [9, 9, 9, 9, 0, 9, 0, 0, 0, 0, 9, 0, 9, 0, 0], [0, 9, 0, 9, 0, 9, 9, 0, 9, 0, 0, 9, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 9, 0, 9, 9, 9], [0, 0, 0, 9, 9, 9, 0, 0, 0, 9, 9, 9, 0, 9, 9], [9, 0, 9, 9, 0, 0, 0, 9, 9, 0, 9, 0, 0, 9, 9], [0, 9, 9, 9, 0, 9, 0, 9, 9, 0, 0, 9, 0, 0, 9], [0, 0, 0, 9, 9, 9, 0, 0, 9, 9, 9, 9, 9, 0, 0], [9, 9, 9, 9, 0, 9, 9, 0, 9, 9, 0, 0, 9, 0, 0], [0, 9, 0, 9, 0, 0, 9, 9, 0, 9, 0, 9, 0, 0, 0], [0, 9, 9, 0, 0, 0, 0, 0, 9, 9, 9, 9, 9, 0, 9], [0, 0, 9, 0, 0, 9, 0, 9, 0, 0, 0, 0, 9, 0, 0], [9, 9, 9, 9, 9, 9, 0, 0, 9, 0, 9, 0, 0, 9, 9]] -> [[3, 0, 3, 3, 3, 0, 0, 3, 0, 3, 3, 3, 0, 0, 0], [0, 3, 0, 0, 3, 3, 0, 3, 0, 3, 3, 0, 0, 0, 3], [3, 0, 0, 0, 3, 0, 0, 0, 3, 3, 3, 0, 3, 3, 3], [0, 0, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 0], [3, 3, 3, 0, 3, 3, 3, 3, 3, 0, 0, 3, 0, 0, 3], [3, 3, 3, 3, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0], [3, 0, 0, 0, 3, 0, 3, 0, 0, 3, 0, 0, 3, 3, 0], [3, 3, 3, 0, 0, 3, 0, 3, 0, 3, 3, 3, 3, 3, 0], [0, 3, 3, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0], [0, 3, 3, 3, 3, 0, 0, 0, 0, 0, 3, 3, 0, 0, 3], [0, 3, 0, 0, 3, 0, 3, 0, 3, 3, 3, 0, 3, 3, 0], [3, 3, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 3, 0, 0], [3, 0, 3, 0, 0, 0, 3, 0, 0, 3, 3, 3, 0, 3, 0], [3, 3, 3, 3, 3, 3, 3, 0, 3, 0, 0, 0, 0, 0, 3], [0, 3, 3, 0, 0, 0, 0, 3, 3, 3, 0, 3, 0, 3, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 8, 0, 8, 8, 8], [8, 0, 0, 8, 0, 0, 0, 8, 8, 8, 8, 0, 8, 0, 8], [8, 0, 0, 8, 0, 8, 8, 8, 8, 0, 0, 0, 0, 8, 0], [8, 8, 0, 0, 8, 0, 8, 0, 8, 8, 0, 8, 0, 8, 0], [8, 0, 8, 8, 8, 0, 0, 8, 0, 0, 0, 0, 0, 0, 8], [8, 8, 8, 8, 0, 0, 8, 8, 0, 0, 0, 0, 8, 8, 8], [8, 0, 0, 8, 0, 8, 8, 0, 0, 0, 8, 8, 8, 0, 8], [0, 8, 0, 8, 0, 8, 0, 0, 8, 8, 0, 8, 8, 0, 8], [0, 0, 0, 8, 0, 8, 0, 8, 0, 8, 0, 8, 0, 0, 8], [0, 8, 8, 0, 0, 8, 0, 0, 8, 8, 0, 0, 8, 0, 8], [8, 0, 8, 8, 8, 8, 0, 0, 0, 0, 8, 0, 0, 8, 0], [8, 0, 8, 8, 0, 0, 0, 8, 0, 8, 8, 8, 8, 0, 0], [8, 8, 0, 0, 0, 0, 8, 0, 8, 0, 0, 0, 8, 8, 8], [8, 8, 0, 8, 8, 0, 8, 8, 8, 0, 0, 0, 8, 0, 8], [8, 0, 0, 8, 8, 8, 0, 8, 0, 8, 8, 8, 0, 0, 8], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]] -> [[3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 0, 3, 0, 0, 0], [0, 3, 3, 0, 3, 3, 3, 0, 0, 0, 0, 3, 0, 3, 0], [0, 3, 3, 0, 3, 0, 0, 0, 0, 3, 3, 3, 3, 0, 3], [0, 0, 3, 3, 0, 3, 0, 3, 0, 0, 3, 0, 3, 0, 3], [0, 3, 0, 0, 0, 3, 3, 0, 3, 3, 3, 3, 3, 3, 0], [0, 0, 0, 0, 3, 3, 0, 0, 3, 3, 3, 3, 0, 0, 0], [0, 3, 3, 0, 3, 0, 0, 3, 3, 3, 0, 0, 0, 3, 0], [3, 0, 3, 0, 3, 0, 3, 3, 0, 0, 3, 0, 0, 3, 0], [3, 3, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 3, 0], [3, 0, 0, 3, 3, 0, 3, 3, 0, 0, 3, 3, 0, 3, 0], [0, 3, 0, 0, 0, 0, 3, 3, 3, 3, 0, 3, 3, 0, 3], [0, 3, 0, 0, 3, 3, 3, 0, 3, 0, 0, 0, 0, 3, 3], [0, 0, 3, 3, 3, 3, 0, 3, 0, 3, 3, 3, 0, 0, 0], [0, 0, 3, 0, 0, 3, 0, 0, 0, 3, 3, 3, 0, 3, 0], [0, 3, 3, 0, 0, 0, 3, 0, 3, 0, 0, 0, 3, 3, 0]]\nExample input-output arrays:\n[[8, 0, 8, 0, 0, 8, 8, 0, 0, 8, 8, 8, 0, 0, 0], [0, 0, 0, 0, 8, 8, 0, 8, 0, 8, 8, 0, 0, 8, 8], [0, 8, 0, 8, 0, 0, 8, 8, 8, 0, 0, 8, 0, 0, 0], [8, 0, 8, 0, 0, 8, 0, 0, 8, 8, 8, 8, 8, 0, 8], [0, 0, 8, 8, 8, 8, 0, 0, 0, 0, 8, 0, 8, 8, 0], [8, 0, 8, 0, 8, 8, 0, 0, 8, 0, 8, 8, 0, 8, 8], [8, 0, 8, 0, 0, 8, 0, 0, 0, 0, 8, 8, 8, 8, 8], [0, 8, 0, 8, 0, 8, 0, 0, 0, 0, 8, 0, 8, 8, 8], [8, 0, 0, 8, 8, 8, 0, 0, 0, 0, 8, 8, 8, 8, 8], [8, 0, 0, 8, 0, 0, 0, 0, 8, 0, 8, 0, 8, 8, 0], [8, 8, 0, 0, 8, 0, 0, 8, 0, 0, 8, 8, 0, 8, 8], [8, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 8, 0, 8, 0], [8, 0, 8, 8, 8, 0, 0, 0, 0, 0, 8, 8, 8, 8, 8], [8, 8, 0, 0, 8, 0, 8, 8, 8, 8, 8, 8, 0, 0, 0], [8, 0, 0, 8, 0, 0, 0, 8, 8, 8, 0, 0, 0, 8, 0], [0, 0, 0, 0, 0, 9, 0, 9, 0, 0, 0, 0, 0, 9, 0], [9, 9, 0, 9, 9, 0, 9, 0, 9, 0, 9, 0, 0, 9, 9], [0, 0, 0, 9, 9, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0], [0, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 9, 0, 0, 9], [0, 0, 0, 9, 9, 0, 9, 9, 9, 9, 9, 9, 9, 0, 9], [9, 9, 9, 9, 9, 0, 9, 0, 0, 9, 0, 9, 9, 9, 9], [0, 9, 9, 0, 9, 0, 9, 0, 9, 9, 0, 9, 0, 9, 9], [9, 0, 0, 9, 9, 0, 9, 0, 0, 9, 0, 9, 9, 0, 0], [9, 9, 9, 0, 0, 0, 0, 9, 9, 0, 9, 0, 0, 9, 9], [0, 0, 9, 9, 0, 9, 9, 0, 0, 0, 9, 9, 9, 0, 0], [9, 9, 0, 9, 9, 9, 9, 9, 9, 0, 9, 9, 9, 9, 0], [0, 0, 0, 0, 0, 9, 0, 9, 0, 0, 9, 9, 0, 9, 0], [0, 0, 0, 9, 9, 9, 0, 9, 0, 9, 9, 9, 0, 9, 0], [0, 0, 9, 0, 9, 9, 0, 9, 0, 9, 0, 0, 0, 9, 9], [0, 0, 0, 0, 9, 9, 0, 9, 9, 0, 9, 9, 9, 0, 0]] -> [[3, 0, 3, 0, 0, 0, 3, 3, 0, 3, 3, 3, 0, 3, 0], [3, 3, 0, 3, 0, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0], [0, 3, 0, 0, 3, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0], [3, 0, 0, 0, 3, 3, 3, 0, 0, 3, 0, 0, 3, 0, 0], [0, 0, 3, 0, 0, 3, 3, 3, 3, 3, 0, 3, 0, 3, 3], [0, 3, 0, 3, 0, 3, 3, 0, 3, 3, 3, 0, 3, 0, 0], [3, 3, 0, 0, 3, 3, 3, 0, 3, 3, 3, 0, 3, 0, 0], [3, 3, 0, 0, 3, 3, 3, 0, 0, 3, 3, 3, 0, 3, 3], [0, 3, 3, 3, 3, 3, 0, 3, 3, 0, 0, 3, 3, 0, 0], [3, 0, 3, 0, 0, 3, 3, 0, 3, 0, 0, 3, 0, 3, 0], [0, 0, 0, 3, 0, 3, 3, 0, 3, 0, 0, 0, 3, 0, 3], [3, 0, 0, 0, 3, 0, 3, 3, 0, 0, 3, 0, 0, 0, 0], [3, 0, 3, 0, 0, 3, 0, 3, 0, 3, 0, 0, 3, 0, 3], [3, 3, 3, 0, 0, 3, 3, 0, 3, 0, 3, 3, 0, 3, 3], [3, 0, 0, 3, 3, 3, 0, 0, 0, 3, 3, 3, 3, 3, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[6, 0, 6, 0, 0, 6, 6, 0, 0, 6, 6, 6, 0, 0, 0], [0, 0, 0, 0, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 6], [0, 6, 0, 6, 0, 0, 6, 6, 6, 0, 0, 6, 0, 0, 0], [6, 0, 6, 0, 0, 6, 0, 0, 6, 6, 6, 6, 6, 0, 6], [0, 0, 6, 6, 6, 6, 0, 0, 0, 0, 6, 0, 6, 6, 0], [6, 0, 6, 0, 6, 6, 0, 0, 6, 0, 6, 6, 0, 6, 6], [6, 0, 6, 0, 0, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6], [0, 6, 0, 6, 0, 6, 0, 0, 0, 0, 6, 0, 6, 6, 6], [6, 0, 0, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6], [6, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6, 0, 6, 6, 0], [6, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 6, 0, 6, 6], [6, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 6, 0, 6, 0], [6, 0, 6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6], [6, 6, 0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 0, 0, 0], [6, 0, 0, 6, 0, 0, 0, 6, 6, 6, 0, 0, 0, 6, 0], [0, 0, 0, 0, 0, 9, 0, 9, 0, 0, 0, 0, 0, 9, 0], [9, 9, 0, 9, 9, 0, 9, 0, 9, 0, 9, 0, 0, 9, 9], [0, 0, 0, 9, 9, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0], [0, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 9, 0, 0, 9], [0, 0, 0, 9, 9, 0, 9, 9, 9, 9, 9, 9, 9, 0, 9], [9, 9, 9, 9, 9, 0, 9, 0, 0, 9, 0, 9, 9, 9, 9], [0, 9, 9, 0, 9, 0, 9, 0, 9, 9, 0, 9, 0, 9, 9], [9, 0, 0, 9, 9, 0, 9, 0, 0, 9, 0, 9, 9, 0, 0], [9, 9, 9, 0, 0, 0, 0, 9, 9, 0, 9, 0, 0, 9, 9], [0, 0, 9, 9, 0, 9, 9, 0, 0, 0, 9, 9, 9, 0, 0], [9, 9, 0, 9, 9, 9, 9, 9, 9, 0, 9, 9, 9, 9, 0], [0, 0, 0, 0, 0, 9, 0, 9, 0, 0, 9, 9, 0, 9, 0], [0, 0, 0, 9, 9, 9, 0, 9, 0, 9, 9, 9, 0, 9, 0], [0, 0, 9, 0, 9, 9, 0, 9, 0, 9, 0, 0, 0, 9, 9], [0, 0, 0, 0, 9, 9, 0, 9, 9, 0, 9, 9, 9, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                            9,
+                            0,
+                            9,
+                            9,
+                            9,
+                            0,
+                            0
+                        ]
+                    ],
+                    "output": [
+                        [
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+                            3,
+                            3,
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                            3
+                        ],
+                        [
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+                            3,
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+                        [
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+                        [
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+                        [
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+                        [
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+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0
+                        ]
+                    ]
+                }
+            },
+            "Replicate 1": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[8, 0, 0, 0, 0, 8, 8, 8, 8, 0, 8, 8, 0, 8, 0], [0, 0, 8, 0, 8, 8, 8, 0, 8, 8, 8, 0, 8, 0, 0], [0, 0, 0, 8, 8, 0, 8, 0, 0, 0, 8, 0, 8, 8, 0], [0, 0, 8, 0, 0, 0, 8, 0, 0, 8, 8, 8, 0, 8, 8], [8, 8, 0, 0, 0, 0, 0, 0, 8, 0, 8, 8, 0, 0, 0], [8, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 8, 0, 0], [0, 0, 0, 8, 0, 8, 8, 0, 8, 0, 8, 8, 8, 0, 8], [8, 0, 8, 8, 8, 0, 8, 0, 0, 0, 8, 0, 8, 0, 8], [8, 8, 8, 0, 0, 0, 8, 0, 0, 8, 0, 8, 8, 0, 0], [8, 0, 0, 8, 8, 0, 0, 0, 0, 8, 8, 0, 0, 8, 8], [0, 0, 0, 8, 8, 8, 8, 0, 0, 8, 0, 8, 0, 0, 8], [0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 8, 8, 8, 0], [0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 0, 8, 8, 8, 0], [8, 0, 0, 0, 8, 0, 8, 0, 8, 0, 8, 8, 8, 8, 8], [8, 0, 8, 0, 8, 0, 0, 8, 8, 0, 0, 8, 0, 0, 8], [0, 0, 0, 9, 9, 9, 0, 9, 0, 0, 9, 0, 0, 0, 9], [9, 9, 0, 9, 9, 0, 9, 0, 9, 9, 9, 9, 9, 9, 9], [9, 9, 0, 9, 0, 9, 9, 0, 9, 9, 9, 0, 0, 0, 0], [0, 9, 0, 0, 0, 9, 9, 0, 9, 9, 9, 0, 9, 9, 0], [0, 0, 9, 9, 0, 0, 0, 9, 0, 9, 0, 9, 9, 9, 0], [9, 9, 0, 9, 0, 9, 9, 0, 0, 9, 9, 9, 9, 9, 9], [0, 0, 9, 9, 9, 9, 9, 0, 9, 9, 9, 9, 0, 9, 9], [0, 9, 9, 0, 9, 0, 9, 0, 0, 0, 0, 9, 9, 9, 9], [0, 9, 9, 0, 9, 9, 0, 9, 9, 9, 0, 0, 9, 0, 0], [9, 0, 0, 0, 9, 9, 9, 0, 9, 9, 0, 0, 9, 9, 0], [0, 0, 0, 0, 9, 0, 9, 9, 9, 9, 0, 9, 9, 0, 9], [0, 9, 0, 9, 0, 9, 0, 9, 0, 0, 9, 9, 9, 9, 9], [0, 0, 9, 0, 0, 9, 9, 9, 0, 0, 9, 0, 0, 0, 0], [0, 0, 9, 9, 9, 9, 9, 9, 9, 0, 0, 0, 0, 9, 0], [9, 9, 9, 0, 9, 9, 9, 0, 9, 0, 0, 9, 0, 9, 0]] -> [[3, 0, 0, 3, 3, 0, 3, 0, 3, 0, 0, 3, 0, 3, 3], [3, 3, 3, 3, 0, 3, 0, 0, 0, 0, 0, 3, 0, 3, 3], [3, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0], [0, 3, 3, 0, 0, 3, 0, 0, 3, 0, 0, 3, 3, 0, 3], [3, 3, 3, 3, 0, 0, 0, 3, 3, 3, 3, 0, 3, 3, 0], [0, 3, 0, 3, 3, 0, 3, 0, 0, 3, 3, 3, 0, 3, 3], [0, 0, 3, 0, 3, 0, 0, 0, 0, 3, 0, 0, 3, 3, 0], [3, 3, 0, 3, 0, 0, 0, 0, 0, 0, 3, 3, 0, 3, 0], [3, 0, 0, 0, 3, 3, 3, 3, 3, 0, 0, 3, 0, 0, 0], [0, 0, 0, 3, 0, 3, 3, 0, 3, 0, 3, 0, 3, 0, 3], [0, 0, 0, 3, 0, 3, 0, 3, 3, 0, 0, 0, 3, 0, 0], [0, 3, 0, 3, 0, 3, 0, 0, 0, 0, 3, 0, 0, 0, 3], [0, 0, 3, 0, 0, 3, 3, 0, 3, 3, 3, 3, 3, 3, 0], [3, 0, 3, 3, 0, 3, 0, 3, 0, 0, 3, 3, 3, 0, 3], [0, 3, 0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0, 3, 3]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[8, 0, 0, 0, 0, 8, 8, 8, 8, 0, 8, 8, 0, 8, 0], [0, 0, 8, 0, 8, 8, 8, 0, 8, 8, 8, 0, 8, 0, 0], [0, 0, 0, 8, 8, 0, 8, 0, 0, 0, 8, 0, 8, 8, 0], [0, 0, 8, 0, 0, 0, 8, 0, 0, 8, 8, 8, 0, 8, 8], [8, 8, 0, 0, 0, 0, 0, 0, 8, 0, 8, 8, 0, 0, 0], [8, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 8, 0, 0], [0, 0, 0, 8, 0, 8, 8, 0, 8, 0, 8, 8, 8, 0, 8], [8, 0, 8, 8, 8, 0, 8, 0, 0, 0, 8, 0, 8, 0, 8], [8, 8, 8, 0, 0, 0, 8, 0, 0, 8, 0, 8, 8, 0, 0], [8, 0, 0, 8, 8, 0, 0, 0, 0, 8, 8, 0, 0, 8, 8], [0, 0, 0, 8, 8, 8, 8, 0, 0, 8, 0, 8, 0, 0, 8], [0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 8, 8, 8, 0], [0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 0, 8, 8, 8, 0], [8, 0, 0, 0, 8, 0, 8, 0, 8, 0, 8, 8, 8, 8, 8], [8, 0, 8, 0, 8, 0, 0, 8, 8, 0, 0, 8, 0, 0, 8], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[3, 0, 0, 0, 0, 3, 3, 3, 3, 0, 3, 3, 0, 3, 0], [0, 0, 3, 0, 3, 3, 3, 0, 3, 3, 3, 0, 3, 0, 0], [0, 0, 0, 3, 3, 0, 3, 0, 0, 0, 3, 0, 3, 3, 0], [0, 0, 3, 0, 0, 0, 3, 0, 0, 3, 3, 3, 0, 3, 3], [3, 3, 0, 0, 0, 0, 0, 0, 3, 0, 3, 3, 0, 0, 0], [3, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 3, 0, 0], [0, 0, 0, 3, 0, 3, 3, 0, 3, 0, 3, 3, 3, 0, 3], [3, 0, 3, 3, 3, 0, 3, 0, 0, 0, 3, 0, 3, 0, 3], [3, 3, 3, 0, 0, 0, 3, 0, 0, 3, 0, 3, 3, 0, 0], [3, 0, 0, 3, 3, 0, 0, 0, 0, 3, 3, 0, 0, 3, 3], [0, 0, 0, 3, 3, 3, 3, 0, 0, 3, 0, 3, 0, 0, 3], [0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 3, 3, 3, 0], [0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 0, 3, 3, 3, 0], [3, 0, 0, 0, 3, 0, 3, 0, 3, 0, 3, 3, 3, 3, 3], [3, 0, 3, 0, 3, 0, 0, 3, 3, 0, 0, 3, 0, 0, 3]]\nExample input-output arrays:\n[[8, 0, 8, 0, 0, 8, 8, 0, 0, 8, 8, 8, 0, 0, 0], [0, 0, 0, 0, 8, 8, 0, 8, 0, 8, 8, 0, 0, 8, 8], [0, 8, 0, 8, 0, 0, 8, 8, 8, 0, 0, 8, 0, 0, 0], [8, 0, 8, 0, 0, 8, 0, 0, 8, 8, 8, 8, 8, 0, 8], [0, 0, 8, 8, 8, 8, 0, 0, 0, 0, 8, 0, 8, 8, 0], [8, 0, 8, 0, 8, 8, 0, 0, 8, 0, 8, 8, 0, 8, 8], [8, 0, 8, 0, 0, 8, 0, 0, 0, 0, 8, 8, 8, 8, 8], [0, 8, 0, 8, 0, 8, 0, 0, 0, 0, 8, 0, 8, 8, 8], [8, 0, 0, 8, 8, 8, 0, 0, 0, 0, 8, 8, 8, 8, 8], [8, 0, 0, 8, 0, 0, 0, 0, 8, 0, 8, 0, 8, 8, 0], [8, 8, 0, 0, 8, 0, 0, 8, 0, 0, 8, 8, 0, 8, 8], [8, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 8, 0, 8, 0], [8, 0, 8, 8, 8, 0, 0, 0, 0, 0, 8, 8, 8, 8, 8], [8, 8, 0, 0, 8, 0, 8, 8, 8, 8, 8, 8, 0, 0, 0], [8, 0, 0, 8, 0, 0, 0, 8, 8, 8, 0, 0, 0, 8, 0], [0, 0, 0, 0, 0, 9, 0, 9, 0, 0, 0, 0, 0, 9, 0], [9, 9, 0, 9, 9, 0, 9, 0, 9, 0, 9, 0, 0, 9, 9], [0, 0, 0, 9, 9, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0], [0, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 9, 0, 0, 9], [0, 0, 0, 9, 9, 0, 9, 9, 9, 9, 9, 9, 9, 0, 9], [9, 9, 9, 9, 9, 0, 9, 0, 0, 9, 0, 9, 9, 9, 9], [0, 9, 9, 0, 9, 0, 9, 0, 9, 9, 0, 9, 0, 9, 9], [9, 0, 0, 9, 9, 0, 9, 0, 0, 9, 0, 9, 9, 0, 0], [9, 9, 9, 0, 0, 0, 0, 9, 9, 0, 9, 0, 0, 9, 9], [0, 0, 9, 9, 0, 9, 9, 0, 0, 0, 9, 9, 9, 0, 0], [9, 9, 0, 9, 9, 9, 9, 9, 9, 0, 9, 9, 9, 9, 0], [0, 0, 0, 0, 0, 9, 0, 9, 0, 0, 9, 9, 0, 9, 0], [0, 0, 0, 9, 9, 9, 0, 9, 0, 9, 9, 9, 0, 9, 0], [0, 0, 9, 0, 9, 9, 0, 9, 0, 9, 0, 0, 0, 9, 9], [0, 0, 0, 0, 9, 9, 0, 9, 9, 0, 9, 9, 9, 0, 0]] -> [[3, 0, 3, 0, 0, 0, 3, 3, 0, 3, 3, 3, 0, 3, 0], [3, 3, 0, 3, 0, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0], [0, 3, 0, 0, 3, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0], [3, 0, 0, 0, 3, 3, 3, 0, 0, 3, 0, 0, 3, 0, 0], [0, 0, 3, 0, 0, 3, 3, 3, 3, 3, 0, 3, 0, 3, 3], [0, 3, 0, 3, 0, 3, 3, 0, 3, 3, 3, 0, 3, 0, 0], [3, 3, 0, 0, 3, 3, 3, 0, 3, 3, 3, 0, 3, 0, 0], [3, 3, 0, 0, 3, 3, 3, 0, 0, 3, 3, 3, 0, 3, 3], [0, 3, 3, 3, 3, 3, 0, 3, 3, 0, 0, 3, 3, 0, 0], [3, 0, 3, 0, 0, 3, 3, 0, 3, 0, 0, 3, 0, 3, 0], [0, 0, 0, 3, 0, 3, 3, 0, 3, 0, 0, 0, 3, 0, 3], [3, 0, 0, 0, 3, 0, 3, 3, 0, 0, 3, 0, 0, 0, 0], [3, 0, 3, 0, 0, 3, 0, 3, 0, 3, 0, 0, 3, 0, 3], [3, 3, 3, 0, 0, 3, 3, 0, 3, 0, 3, 3, 0, 3, 3], [3, 0, 0, 3, 3, 3, 0, 0, 0, 3, 3, 3, 3, 3, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [0, 0, 0, 0, 0, 9, 0, 9, 0, 0, 0, 0, 0, 9, 0], [9, 9, 0, 9, 9, 0, 9, 0, 9, 0, 9, 0, 0, 9, 9], [0, 0, 0, 9, 9, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0], [0, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 9, 0, 0, 9], [0, 0, 0, 9, 9, 0, 9, 9, 9, 9, 9, 9, 9, 0, 9], [9, 9, 9, 9, 9, 0, 9, 0, 0, 9, 0, 9, 9, 9, 9], [0, 9, 9, 0, 9, 0, 9, 0, 9, 9, 0, 9, 0, 9, 9], [9, 0, 0, 9, 9, 0, 9, 0, 0, 9, 0, 9, 9, 0, 0], [9, 9, 9, 0, 0, 0, 0, 9, 9, 0, 9, 0, 0, 9, 9], [0, 0, 9, 9, 0, 9, 9, 0, 0, 0, 9, 9, 9, 0, 0], [9, 9, 0, 9, 9, 9, 9, 9, 9, 0, 9, 9, 9, 9, 0], [0, 0, 0, 0, 0, 9, 0, 9, 0, 0, 9, 9, 0, 9, 0], [0, 0, 0, 9, 9, 9, 0, 9, 0, 9, 9, 9, 0, 9, 0], [0, 0, 9, 0, 9, 9, 0, 9, 0, 9, 0, 0, 0, 9, 9], [0, 0, 0, 0, 9, 9, 0, 9, 9, 0, 9, 9, 9, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
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+                            8,
+                            8,
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+                        ],
+                        [
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+                            8,
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+                        ],
+                        [
+                            8,
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+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8
+                        ],
+                        [
+                            8,
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+                        ],
+                        [
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+                        ],
+                        [
+                            8,
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+                            8,
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+                        ],
+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        ],
+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                            9
+                        ],
+                        [
+                            9,
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+                            0,
+                            9,
+                            9,
+                            0,
+                            9,
+                            0,
+                            0,
+                            9,
+                            0,
+                            9,
+                            9,
+                            0,
+                            0
+                        ],
+                        [
+                            9,
+                            9,
+                            9,
+                            0,
+                            0,
+                            0,
+                            0,
+                            9,
+                            9,
+                            0,
+                            9,
+                            0,
+                            0,
+                            9,
+                            9
+                        ],
+                        [
+                            0,
+                            0,
+                            9,
+                            9,
+                            0,
+                            9,
+                            9,
+                            0,
+                            0,
+                            0,
+                            9,
+                            9,
+                            9,
+                            0,
+                            0
+                        ],
+                        [
+                            9,
+                            9,
+                            0,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            0,
+                            9,
+                            9,
+                            9,
+                            9,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            9,
+                            0,
+                            9,
+                            0,
+                            0,
+                            9,
+                            9,
+                            0,
+                            9,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            9,
+                            9,
+                            9,
+                            0,
+                            9,
+                            0,
+                            9,
+                            9,
+                            9,
+                            0,
+                            9,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            9,
+                            0,
+                            9,
+                            9,
+                            0,
+                            9,
+                            0,
+                            9,
+                            0,
+                            0,
+                            0,
+                            9,
+                            9
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            9,
+                            9,
+                            0,
+                            9,
+                            9,
+                            0,
+                            9,
+                            9,
+                            9,
+                            0,
+                            0
+                        ]
+                    ],
+                    "output": [
+                        [
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0
+                        ],
+                        [
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3
+                        ]
+                    ]
+                }
+            },
+            "Replicate 2": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[8, 0, 8, 0, 0, 8, 8, 0, 0, 8, 8, 8, 0, 0, 0], [0, 0, 0, 0, 8, 8, 0, 8, 0, 8, 8, 0, 0, 8, 8], [0, 8, 0, 8, 0, 0, 8, 8, 8, 0, 0, 8, 0, 0, 0], [8, 0, 8, 0, 0, 8, 0, 0, 8, 8, 8, 8, 8, 0, 8], [0, 0, 8, 8, 8, 8, 0, 0, 0, 0, 8, 0, 8, 8, 0], [8, 0, 8, 0, 8, 8, 0, 0, 8, 0, 8, 8, 0, 8, 8], [8, 0, 8, 0, 0, 8, 0, 0, 0, 0, 8, 8, 8, 8, 8], [0, 8, 0, 8, 0, 8, 0, 0, 0, 0, 8, 0, 8, 8, 8], [8, 0, 0, 8, 8, 8, 0, 0, 0, 0, 8, 8, 8, 8, 8], [8, 0, 0, 8, 0, 0, 0, 0, 8, 0, 8, 0, 8, 8, 0], [8, 8, 0, 0, 8, 0, 0, 8, 0, 0, 8, 8, 0, 8, 8], [8, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 8, 0, 8, 0], [8, 0, 8, 8, 8, 0, 0, 0, 0, 0, 8, 8, 8, 8, 8], [8, 8, 0, 0, 8, 0, 8, 8, 8, 8, 8, 8, 0, 0, 0], [8, 0, 0, 8, 0, 0, 0, 8, 8, 8, 0, 0, 0, 8, 0], [0, 0, 0, 0, 0, 9, 0, 9, 0, 0, 0, 0, 0, 9, 0], [9, 9, 0, 9, 9, 0, 9, 0, 9, 0, 9, 0, 0, 9, 9], [0, 0, 0, 9, 9, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0], [0, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 9, 0, 0, 9], [0, 0, 0, 9, 9, 0, 9, 9, 9, 9, 9, 9, 9, 0, 9], [9, 9, 9, 9, 9, 0, 9, 0, 0, 9, 0, 9, 9, 9, 9], [0, 9, 9, 0, 9, 0, 9, 0, 9, 9, 0, 9, 0, 9, 9], [9, 0, 0, 9, 9, 0, 9, 0, 0, 9, 0, 9, 9, 0, 0], [9, 9, 9, 0, 0, 0, 0, 9, 9, 0, 9, 0, 0, 9, 9], [0, 0, 9, 9, 0, 9, 9, 0, 0, 0, 9, 9, 9, 0, 0], [9, 9, 0, 9, 9, 9, 9, 9, 9, 0, 9, 9, 9, 9, 0], [0, 0, 0, 0, 0, 9, 0, 9, 0, 0, 9, 9, 0, 9, 0], [0, 0, 0, 9, 9, 9, 0, 9, 0, 9, 9, 9, 0, 9, 0], [0, 0, 9, 0, 9, 9, 0, 9, 0, 9, 0, 0, 0, 9, 9], [0, 0, 0, 0, 9, 9, 0, 9, 9, 0, 9, 9, 9, 0, 0]] -> [[3, 0, 3, 0, 0, 0, 3, 3, 0, 3, 3, 3, 0, 3, 0], [3, 3, 0, 3, 0, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0], [0, 3, 0, 0, 3, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0], [3, 0, 0, 0, 3, 3, 3, 0, 0, 3, 0, 0, 3, 0, 0], [0, 0, 3, 0, 0, 3, 3, 3, 3, 3, 0, 3, 0, 3, 3], [0, 3, 0, 3, 0, 3, 3, 0, 3, 3, 3, 0, 3, 0, 0], [3, 3, 0, 0, 3, 3, 3, 0, 3, 3, 3, 0, 3, 0, 0], [3, 3, 0, 0, 3, 3, 3, 0, 0, 3, 3, 3, 0, 3, 3], [0, 3, 3, 3, 3, 3, 0, 3, 3, 0, 0, 3, 3, 0, 0], [3, 0, 3, 0, 0, 3, 3, 0, 3, 0, 0, 3, 0, 3, 0], [0, 0, 0, 3, 0, 3, 3, 0, 3, 0, 0, 0, 3, 0, 3], [3, 0, 0, 0, 3, 0, 3, 3, 0, 0, 3, 0, 0, 0, 0], [3, 0, 3, 0, 0, 3, 0, 3, 0, 3, 0, 0, 3, 0, 3], [3, 3, 3, 0, 0, 3, 3, 0, 3, 0, 3, 3, 0, 3, 3], [3, 0, 0, 3, 3, 3, 0, 0, 0, 3, 3, 3, 3, 3, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[8, 0, 8, 0, 0, 8, 8, 0, 0, 8, 8, 8, 0, 0, 0], [0, 0, 0, 0, 8, 8, 0, 8, 0, 8, 8, 0, 0, 8, 8], [0, 8, 0, 8, 0, 0, 8, 8, 8, 0, 0, 8, 0, 0, 0], [8, 0, 8, 0, 0, 8, 0, 0, 8, 8, 8, 8, 8, 0, 8], [0, 0, 8, 8, 8, 8, 0, 0, 0, 0, 8, 0, 8, 8, 0], [8, 0, 8, 0, 8, 8, 0, 0, 8, 0, 8, 8, 0, 8, 8], [8, 0, 8, 0, 0, 8, 0, 0, 0, 0, 8, 8, 8, 8, 8], [0, 8, 0, 8, 0, 8, 0, 0, 0, 0, 8, 0, 8, 8, 8], [8, 0, 0, 8, 8, 8, 0, 0, 0, 0, 8, 8, 8, 8, 8], [8, 0, 0, 8, 0, 0, 0, 0, 8, 0, 8, 0, 8, 8, 0], [8, 8, 0, 0, 8, 0, 0, 8, 0, 0, 8, 8, 0, 8, 8], [8, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 8, 0, 8, 0], [8, 0, 8, 8, 8, 0, 0, 0, 0, 0, 8, 8, 8, 8, 8], [8, 8, 0, 0, 8, 0, 8, 8, 8, 8, 8, 8, 0, 0, 0], [8, 0, 0, 8, 0, 0, 0, 8, 8, 8, 0, 0, 0, 8, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[3, 0, 3, 0, 0, 3, 3, 0, 0, 3, 3, 3, 0, 0, 0], [0, 0, 0, 0, 3, 3, 0, 3, 0, 3, 3, 0, 0, 3, 3], [0, 3, 0, 3, 0, 0, 3, 3, 3, 0, 0, 3, 0, 0, 0], [3, 0, 3, 0, 0, 3, 0, 0, 3, 3, 3, 3, 3, 0, 3], [0, 0, 3, 3, 3, 3, 0, 0, 0, 0, 3, 0, 3, 3, 0], [3, 0, 3, 0, 3, 3, 0, 0, 3, 0, 3, 3, 0, 3, 3], [3, 0, 3, 0, 0, 3, 0, 0, 0, 0, 3, 3, 3, 3, 3], [0, 3, 0, 3, 0, 3, 0, 0, 0, 0, 3, 0, 3, 3, 3], [3, 0, 0, 3, 3, 3, 0, 0, 0, 0, 3, 3, 3, 3, 3], [3, 0, 0, 3, 0, 0, 0, 0, 3, 0, 3, 0, 3, 3, 0], [3, 3, 0, 0, 3, 0, 0, 3, 0, 0, 3, 3, 0, 3, 3], [3, 0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 3, 0, 3, 0], [3, 0, 3, 3, 3, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3], [3, 3, 0, 0, 3, 0, 3, 3, 3, 3, 3, 3, 0, 0, 0], [3, 0, 0, 3, 0, 0, 0, 3, 3, 3, 0, 0, 0, 3, 0]]\nExample input-output arrays:\n[[8, 0, 0, 0, 0, 8, 8, 8, 8, 0, 8, 8, 0, 8, 0], [0, 0, 8, 0, 8, 8, 8, 0, 8, 8, 8, 0, 8, 0, 0], [0, 0, 0, 8, 8, 0, 8, 0, 0, 0, 8, 0, 8, 8, 0], [0, 0, 8, 0, 0, 0, 8, 0, 0, 8, 8, 8, 0, 8, 8], [8, 8, 0, 0, 0, 0, 0, 0, 8, 0, 8, 8, 0, 0, 0], [8, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 8, 0, 0], [0, 0, 0, 8, 0, 8, 8, 0, 8, 0, 8, 8, 8, 0, 8], [8, 0, 8, 8, 8, 0, 8, 0, 0, 0, 8, 0, 8, 0, 8], [8, 8, 8, 0, 0, 0, 8, 0, 0, 8, 0, 8, 8, 0, 0], [8, 0, 0, 8, 8, 0, 0, 0, 0, 8, 8, 0, 0, 8, 8], [0, 0, 0, 8, 8, 8, 8, 0, 0, 8, 0, 8, 0, 0, 8], [0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 8, 8, 8, 0], [0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 0, 8, 8, 8, 0], [8, 0, 0, 0, 8, 0, 8, 0, 8, 0, 8, 8, 8, 8, 8], [8, 0, 8, 0, 8, 0, 0, 8, 8, 0, 0, 8, 0, 0, 8], [0, 0, 0, 9, 9, 9, 0, 9, 0, 0, 9, 0, 0, 0, 9], [9, 9, 0, 9, 9, 0, 9, 0, 9, 9, 9, 9, 9, 9, 9], [9, 9, 0, 9, 0, 9, 9, 0, 9, 9, 9, 0, 0, 0, 0], [0, 9, 0, 0, 0, 9, 9, 0, 9, 9, 9, 0, 9, 9, 0], [0, 0, 9, 9, 0, 0, 0, 9, 0, 9, 0, 9, 9, 9, 0], [9, 9, 0, 9, 0, 9, 9, 0, 0, 9, 9, 9, 9, 9, 9], [0, 0, 9, 9, 9, 9, 9, 0, 9, 9, 9, 9, 0, 9, 9], [0, 9, 9, 0, 9, 0, 9, 0, 0, 0, 0, 9, 9, 9, 9], [0, 9, 9, 0, 9, 9, 0, 9, 9, 9, 0, 0, 9, 0, 0], [9, 0, 0, 0, 9, 9, 9, 0, 9, 9, 0, 0, 9, 9, 0], [0, 0, 0, 0, 9, 0, 9, 9, 9, 9, 0, 9, 9, 0, 9], [0, 9, 0, 9, 0, 9, 0, 9, 0, 0, 9, 9, 9, 9, 9], [0, 0, 9, 0, 0, 9, 9, 9, 0, 0, 9, 0, 0, 0, 0], [0, 0, 9, 9, 9, 9, 9, 9, 9, 0, 0, 0, 0, 9, 0], [9, 9, 9, 0, 9, 9, 9, 0, 9, 0, 0, 9, 0, 9, 0]] -> [[3, 0, 0, 3, 3, 0, 3, 0, 3, 0, 0, 3, 0, 3, 3], [3, 3, 3, 3, 0, 3, 0, 0, 0, 0, 0, 3, 0, 3, 3], [3, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0], [0, 3, 3, 0, 0, 3, 0, 0, 3, 0, 0, 3, 3, 0, 3], [3, 3, 3, 3, 0, 0, 0, 3, 3, 3, 3, 0, 3, 3, 0], [0, 3, 0, 3, 3, 0, 3, 0, 0, 3, 3, 3, 0, 3, 3], [0, 0, 3, 0, 3, 0, 0, 0, 0, 3, 0, 0, 3, 3, 0], [3, 3, 0, 3, 0, 0, 0, 0, 0, 0, 3, 3, 0, 3, 0], [3, 0, 0, 0, 3, 3, 3, 3, 3, 0, 0, 3, 0, 0, 0], [0, 0, 0, 3, 0, 3, 3, 0, 3, 0, 3, 0, 3, 0, 3], [0, 0, 0, 3, 0, 3, 0, 3, 3, 0, 0, 0, 3, 0, 0], [0, 3, 0, 3, 0, 3, 0, 0, 0, 0, 3, 0, 0, 0, 3], [0, 0, 3, 0, 0, 3, 3, 0, 3, 3, 3, 3, 3, 3, 0], [3, 0, 3, 3, 0, 3, 0, 3, 0, 0, 3, 3, 3, 0, 3], [0, 3, 0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0, 3, 3]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[8, 0, 0, 0, 0, 8, 8, 8, 8, 0, 8, 8, 0, 8, 0], [0, 0, 8, 0, 8, 8, 8, 0, 8, 8, 8, 0, 8, 0, 0], [0, 0, 0, 8, 8, 0, 8, 0, 0, 0, 8, 0, 8, 8, 0], [0, 0, 8, 0, 0, 0, 8, 0, 0, 8, 8, 8, 0, 8, 8], [8, 8, 0, 0, 0, 0, 0, 0, 8, 0, 8, 8, 0, 0, 0], [8, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 8, 0, 0], [0, 0, 0, 8, 0, 8, 8, 0, 8, 0, 8, 8, 8, 0, 8], [8, 0, 8, 8, 8, 0, 8, 0, 0, 0, 8, 0, 8, 0, 8], [8, 8, 8, 0, 0, 0, 8, 0, 0, 8, 0, 8, 8, 0, 0], [8, 0, 0, 8, 8, 0, 0, 0, 0, 8, 8, 0, 0, 8, 8], [0, 0, 0, 8, 8, 8, 8, 0, 0, 8, 0, 8, 0, 0, 8], [0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 8, 8, 8, 0], [0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 0, 8, 8, 8, 0], [8, 0, 0, 0, 8, 0, 8, 0, 8, 0, 8, 8, 8, 8, 8], [8, 0, 8, 0, 8, 0, 0, 8, 8, 0, 0, 8, 0, 0, 8], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            8,
+                            0,
+                            0,
+                            0,
+                            0,
+                            8,
+                            8,
+                            8,
+                            8,
+                            0,
+                            8,
+                            8,
+                            0,
+                            8,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            8,
+                            0,
+                            8,
+                            8,
+                            8,
+                            0,
+                            8,
+                            8,
+                            8,
+                            0,
+                            8,
+                            0,
+                            0
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+                        [
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+                    "output": [
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+            },
+            "Replicate 3": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[8, 0, 0, 0, 0, 8, 8, 8, 8, 0, 8, 8, 0, 8, 0], [0, 0, 8, 0, 8, 8, 8, 0, 8, 8, 8, 0, 8, 0, 0], [0, 0, 0, 8, 8, 0, 8, 0, 0, 0, 8, 0, 8, 8, 0], [0, 0, 8, 0, 0, 0, 8, 0, 0, 8, 8, 8, 0, 8, 8], [8, 8, 0, 0, 0, 0, 0, 0, 8, 0, 8, 8, 0, 0, 0], [8, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 8, 0, 0], [0, 0, 0, 8, 0, 8, 8, 0, 8, 0, 8, 8, 8, 0, 8], [8, 0, 8, 8, 8, 0, 8, 0, 0, 0, 8, 0, 8, 0, 8], [8, 8, 8, 0, 0, 0, 8, 0, 0, 8, 0, 8, 8, 0, 0], [8, 0, 0, 8, 8, 0, 0, 0, 0, 8, 8, 0, 0, 8, 8], [0, 0, 0, 8, 8, 8, 8, 0, 0, 8, 0, 8, 0, 0, 8], [0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 8, 8, 8, 0], [0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 0, 8, 8, 8, 0], [8, 0, 0, 0, 8, 0, 8, 0, 8, 0, 8, 8, 8, 8, 8], [8, 0, 8, 0, 8, 0, 0, 8, 8, 0, 0, 8, 0, 0, 8], [0, 0, 0, 9, 9, 9, 0, 9, 0, 0, 9, 0, 0, 0, 9], [9, 9, 0, 9, 9, 0, 9, 0, 9, 9, 9, 9, 9, 9, 9], [9, 9, 0, 9, 0, 9, 9, 0, 9, 9, 9, 0, 0, 0, 0], [0, 9, 0, 0, 0, 9, 9, 0, 9, 9, 9, 0, 9, 9, 0], [0, 0, 9, 9, 0, 0, 0, 9, 0, 9, 0, 9, 9, 9, 0], [9, 9, 0, 9, 0, 9, 9, 0, 0, 9, 9, 9, 9, 9, 9], [0, 0, 9, 9, 9, 9, 9, 0, 9, 9, 9, 9, 0, 9, 9], [0, 9, 9, 0, 9, 0, 9, 0, 0, 0, 0, 9, 9, 9, 9], [0, 9, 9, 0, 9, 9, 0, 9, 9, 9, 0, 0, 9, 0, 0], [9, 0, 0, 0, 9, 9, 9, 0, 9, 9, 0, 0, 9, 9, 0], [0, 0, 0, 0, 9, 0, 9, 9, 9, 9, 0, 9, 9, 0, 9], [0, 9, 0, 9, 0, 9, 0, 9, 0, 0, 9, 9, 9, 9, 9], [0, 0, 9, 0, 0, 9, 9, 9, 0, 0, 9, 0, 0, 0, 0], [0, 0, 9, 9, 9, 9, 9, 9, 9, 0, 0, 0, 0, 9, 0], [9, 9, 9, 0, 9, 9, 9, 0, 9, 0, 0, 9, 0, 9, 0]] -> [[3, 0, 0, 3, 3, 0, 3, 0, 3, 0, 0, 3, 0, 3, 3], [3, 3, 3, 3, 0, 3, 0, 0, 0, 0, 0, 3, 0, 3, 3], [3, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0], [0, 3, 3, 0, 0, 3, 0, 0, 3, 0, 0, 3, 3, 0, 3], [3, 3, 3, 3, 0, 0, 0, 3, 3, 3, 3, 0, 3, 3, 0], [0, 3, 0, 3, 3, 0, 3, 0, 0, 3, 3, 3, 0, 3, 3], [0, 0, 3, 0, 3, 0, 0, 0, 0, 3, 0, 0, 3, 3, 0], [3, 3, 0, 3, 0, 0, 0, 0, 0, 0, 3, 3, 0, 3, 0], [3, 0, 0, 0, 3, 3, 3, 3, 3, 0, 0, 3, 0, 0, 0], [0, 0, 0, 3, 0, 3, 3, 0, 3, 0, 3, 0, 3, 0, 3], [0, 0, 0, 3, 0, 3, 0, 3, 3, 0, 0, 0, 3, 0, 0], [0, 3, 0, 3, 0, 3, 0, 0, 0, 0, 3, 0, 0, 0, 3], [0, 0, 3, 0, 0, 3, 3, 0, 3, 3, 3, 3, 3, 3, 0], [3, 0, 3, 3, 0, 3, 0, 3, 0, 0, 3, 3, 3, 0, 3], [0, 3, 0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0, 3, 3]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[8, 0, 0, 0, 0, 8, 8, 8, 8, 0, 8, 8, 0, 8, 0], [0, 0, 8, 0, 8, 8, 8, 0, 8, 8, 8, 0, 8, 0, 0], [0, 0, 0, 8, 8, 0, 8, 0, 0, 0, 8, 0, 8, 8, 0], [0, 0, 8, 0, 0, 0, 8, 0, 0, 8, 8, 8, 0, 8, 8], [8, 8, 0, 0, 0, 0, 0, 0, 8, 0, 8, 8, 0, 0, 0], [8, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 8, 0, 0], [0, 0, 0, 8, 0, 8, 8, 0, 8, 0, 8, 8, 8, 0, 8], [8, 0, 8, 8, 8, 0, 8, 0, 0, 0, 8, 0, 8, 0, 8], [8, 8, 8, 0, 0, 0, 8, 0, 0, 8, 0, 8, 8, 0, 0], [8, 0, 0, 8, 8, 0, 0, 0, 0, 8, 8, 0, 0, 8, 8], [0, 0, 0, 8, 8, 8, 8, 0, 0, 8, 0, 8, 0, 0, 8], [0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 8, 8, 8, 0], [0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 0, 8, 8, 8, 0], [8, 0, 0, 0, 8, 0, 8, 0, 8, 0, 8, 8, 8, 8, 8], [8, 0, 8, 0, 8, 0, 0, 8, 8, 0, 0, 8, 0, 0, 8], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[3, 0, 0, 0, 0, 3, 3, 3, 3, 0, 3, 3, 0, 3, 0], [0, 0, 3, 0, 3, 3, 3, 0, 3, 3, 3, 0, 3, 0, 0], [0, 0, 0, 3, 3, 0, 3, 0, 0, 0, 3, 0, 3, 3, 0], [0, 0, 3, 0, 0, 0, 3, 0, 0, 3, 3, 3, 0, 3, 3], [3, 3, 0, 0, 0, 0, 0, 0, 3, 0, 3, 3, 0, 0, 0], [3, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 3, 0, 0], [0, 0, 0, 3, 0, 3, 3, 0, 3, 0, 3, 3, 3, 0, 3], [3, 0, 3, 3, 3, 0, 3, 0, 0, 0, 3, 0, 3, 0, 3], [3, 3, 3, 0, 0, 0, 3, 0, 0, 3, 0, 3, 3, 0, 0], [3, 0, 0, 3, 3, 0, 0, 0, 0, 3, 3, 0, 0, 3, 3], [0, 0, 0, 3, 3, 3, 3, 0, 0, 3, 0, 3, 0, 0, 3], [0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 3, 3, 3, 0], [0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 0, 3, 3, 3, 0], [3, 0, 0, 0, 3, 0, 3, 0, 3, 0, 3, 3, 3, 3, 3], [3, 0, 3, 0, 3, 0, 0, 3, 3, 0, 0, 3, 0, 0, 3]]\nExample input-output arrays:\n[[8, 0, 8, 0, 0, 8, 8, 0, 0, 8, 8, 8, 0, 0, 0], [0, 0, 0, 0, 8, 8, 0, 8, 0, 8, 8, 0, 0, 8, 8], [0, 8, 0, 8, 0, 0, 8, 8, 8, 0, 0, 8, 0, 0, 0], [8, 0, 8, 0, 0, 8, 0, 0, 8, 8, 8, 8, 8, 0, 8], [0, 0, 8, 8, 8, 8, 0, 0, 0, 0, 8, 0, 8, 8, 0], [8, 0, 8, 0, 8, 8, 0, 0, 8, 0, 8, 8, 0, 8, 8], [8, 0, 8, 0, 0, 8, 0, 0, 0, 0, 8, 8, 8, 8, 8], [0, 8, 0, 8, 0, 8, 0, 0, 0, 0, 8, 0, 8, 8, 8], [8, 0, 0, 8, 8, 8, 0, 0, 0, 0, 8, 8, 8, 8, 8], [8, 0, 0, 8, 0, 0, 0, 0, 8, 0, 8, 0, 8, 8, 0], [8, 8, 0, 0, 8, 0, 0, 8, 0, 0, 8, 8, 0, 8, 8], [8, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 8, 0, 8, 0], [8, 0, 8, 8, 8, 0, 0, 0, 0, 0, 8, 8, 8, 8, 8], [8, 8, 0, 0, 8, 0, 8, 8, 8, 8, 8, 8, 0, 0, 0], [8, 0, 0, 8, 0, 0, 0, 8, 8, 8, 0, 0, 0, 8, 0], [0, 0, 0, 0, 0, 9, 0, 9, 0, 0, 0, 0, 0, 9, 0], [9, 9, 0, 9, 9, 0, 9, 0, 9, 0, 9, 0, 0, 9, 9], [0, 0, 0, 9, 9, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0], [0, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 9, 0, 0, 9], [0, 0, 0, 9, 9, 0, 9, 9, 9, 9, 9, 9, 9, 0, 9], [9, 9, 9, 9, 9, 0, 9, 0, 0, 9, 0, 9, 9, 9, 9], [0, 9, 9, 0, 9, 0, 9, 0, 9, 9, 0, 9, 0, 9, 9], [9, 0, 0, 9, 9, 0, 9, 0, 0, 9, 0, 9, 9, 0, 0], [9, 9, 9, 0, 0, 0, 0, 9, 9, 0, 9, 0, 0, 9, 9], [0, 0, 9, 9, 0, 9, 9, 0, 0, 0, 9, 9, 9, 0, 0], [9, 9, 0, 9, 9, 9, 9, 9, 9, 0, 9, 9, 9, 9, 0], [0, 0, 0, 0, 0, 9, 0, 9, 0, 0, 9, 9, 0, 9, 0], [0, 0, 0, 9, 9, 9, 0, 9, 0, 9, 9, 9, 0, 9, 0], [0, 0, 9, 0, 9, 9, 0, 9, 0, 9, 0, 0, 0, 9, 9], [0, 0, 0, 0, 9, 9, 0, 9, 9, 0, 9, 9, 9, 0, 0]] -> [[3, 0, 3, 0, 0, 0, 3, 3, 0, 3, 3, 3, 0, 3, 0], [3, 3, 0, 3, 0, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0], [0, 3, 0, 0, 3, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0], [3, 0, 0, 0, 3, 3, 3, 0, 0, 3, 0, 0, 3, 0, 0], [0, 0, 3, 0, 0, 3, 3, 3, 3, 3, 0, 3, 0, 3, 3], [0, 3, 0, 3, 0, 3, 3, 0, 3, 3, 3, 0, 3, 0, 0], [3, 3, 0, 0, 3, 3, 3, 0, 3, 3, 3, 0, 3, 0, 0], [3, 3, 0, 0, 3, 3, 3, 0, 0, 3, 3, 3, 0, 3, 3], [0, 3, 3, 3, 3, 3, 0, 3, 3, 0, 0, 3, 3, 0, 0], [3, 0, 3, 0, 0, 3, 3, 0, 3, 0, 0, 3, 0, 3, 0], [0, 0, 0, 3, 0, 3, 3, 0, 3, 0, 0, 0, 3, 0, 3], [3, 0, 0, 0, 3, 0, 3, 3, 0, 0, 3, 0, 0, 0, 0], [3, 0, 3, 0, 0, 3, 0, 3, 0, 3, 0, 0, 3, 0, 3], [3, 3, 3, 0, 0, 3, 3, 0, 3, 0, 3, 3, 0, 3, 3], [3, 0, 0, 3, 3, 3, 0, 0, 0, 3, 3, 3, 3, 3, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing the causal function for some elements.\n[[0, 8, 0, 8, 8, 0, 0, 8, 8, 0, 0, 0, 8, 8, 8], [8, 8, 8, 8, 0, 0, 8, 0, 8, 0, 0, 8, 8, 0, 0], [8, 0, 8, 0, 8, 8, 0, 0, 0, 8, 8, 0, 8, 8, 8], [0, 8, 0, 8, 8, 0, 8, 8, 0, 0, 0, 0, 0, 8, 0], [8, 8, 0, 0, 0, 0, 8, 8, 8, 8, 0, 8, 0, 0, 8], [0, 8, 0, 8, 0, 0, 8, 8, 0, 8, 0, 0, 8, 0, 0], [0, 8, 0, 8, 8, 0, 8, 8, 8, 8, 0, 0, 0, 0, 0], [8, 0, 8, 0, 8, 0, 8, 8, 8, 8, 0, 8, 0, 0, 0], [0, 8, 8, 0, 0, 0, 8, 8, 8, 8, 0, 0, 0, 0, 0], [0, 8, 8, 0, 8, 8, 8, 8, 0, 8, 0, 8, 0, 0, 8], [0, 0, 8, 8, 0, 8, 8, 0, 8, 8, 0, 0, 8, 0, 0], [0, 8, 8, 8, 0, 0, 0, 8, 8, 8, 8, 0, 8, 0, 8], [0, 8, 0, 0, 0, 8, 8, 8, 8, 8, 0, 0, 0, 0, 0], [0, 0, 8, 8, 0, 8, 0, 0, 0, 0, 0, 0, 8, 8, 8], [0, 8, 8, 0, 8, 8, 8, 0, 0, 0, 8, 8, 8, 0, 8], [0, 0, 0, 0, 0, 9, 0, 9, 0, 0, 0, 0, 0, 9, 0], [9, 9, 0, 9, 9, 0, 9, 0, 9, 0, 9, 0, 0, 9, 9], [0, 0, 0, 9, 9, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0], [0, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 9, 0, 0, 9], [0, 0, 0, 9, 9, 0, 9, 9, 9, 9, 9, 9, 9, 0, 9], [9, 9, 9, 9, 9, 0, 9, 0, 0, 9, 0, 9, 9, 9, 9], [0, 9, 9, 0, 9, 0, 9, 0, 9, 9, 0, 9, 0, 9, 9], [9, 0, 0, 9, 9, 0, 9, 0, 0, 9, 0, 9, 9, 0, 0], [9, 9, 9, 0, 0, 0, 0, 9, 9, 0, 9, 0, 0, 9, 9], [0, 0, 9, 9, 0, 9, 9, 0, 0, 0, 9, 9, 9, 0, 0], [9, 9, 0, 9, 9, 9, 9, 9, 9, 0, 9, 9, 9, 9, 0], [0, 0, 0, 0, 0, 9, 0, 9, 0, 0, 9, 9, 0, 9, 0], [0, 0, 0, 9, 9, 9, 0, 9, 0, 9, 9, 9, 0, 9, 0], [0, 0, 9, 0, 9, 9, 0, 9, 0, 9, 0, 0, 0, 9, 9], [0, 0, 0, 0, 9, 9, 0, 9, 9, 0, 9, 9, 9, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                    ],
+                    "output": [
+                        [
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+                            3,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0
+                        ],
+                        [
+                            3,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3
+                        ],
+                        [
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0
+                        ],
+                        [
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3
+                        ]
+                    ]
+                }
+            },
+            "Replicate 4": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[8, 0, 8, 0, 0, 8, 8, 0, 0, 8, 8, 8, 0, 0, 0], [0, 0, 0, 0, 8, 8, 0, 8, 0, 8, 8, 0, 0, 8, 8], [0, 8, 0, 8, 0, 0, 8, 8, 8, 0, 0, 8, 0, 0, 0], [8, 0, 8, 0, 0, 8, 0, 0, 8, 8, 8, 8, 8, 0, 8], [0, 0, 8, 8, 8, 8, 0, 0, 0, 0, 8, 0, 8, 8, 0], [8, 0, 8, 0, 8, 8, 0, 0, 8, 0, 8, 8, 0, 8, 8], [8, 0, 8, 0, 0, 8, 0, 0, 0, 0, 8, 8, 8, 8, 8], [0, 8, 0, 8, 0, 8, 0, 0, 0, 0, 8, 0, 8, 8, 8], [8, 0, 0, 8, 8, 8, 0, 0, 0, 0, 8, 8, 8, 8, 8], [8, 0, 0, 8, 0, 0, 0, 0, 8, 0, 8, 0, 8, 8, 0], [8, 8, 0, 0, 8, 0, 0, 8, 0, 0, 8, 8, 0, 8, 8], [8, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 8, 0, 8, 0], [8, 0, 8, 8, 8, 0, 0, 0, 0, 0, 8, 8, 8, 8, 8], [8, 8, 0, 0, 8, 0, 8, 8, 8, 8, 8, 8, 0, 0, 0], [8, 0, 0, 8, 0, 0, 0, 8, 8, 8, 0, 0, 0, 8, 0], [0, 0, 0, 0, 0, 9, 0, 9, 0, 0, 0, 0, 0, 9, 0], [9, 9, 0, 9, 9, 0, 9, 0, 9, 0, 9, 0, 0, 9, 9], [0, 0, 0, 9, 9, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0], [0, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 9, 0, 0, 9], [0, 0, 0, 9, 9, 0, 9, 9, 9, 9, 9, 9, 9, 0, 9], [9, 9, 9, 9, 9, 0, 9, 0, 0, 9, 0, 9, 9, 9, 9], [0, 9, 9, 0, 9, 0, 9, 0, 9, 9, 0, 9, 0, 9, 9], [9, 0, 0, 9, 9, 0, 9, 0, 0, 9, 0, 9, 9, 0, 0], [9, 9, 9, 0, 0, 0, 0, 9, 9, 0, 9, 0, 0, 9, 9], [0, 0, 9, 9, 0, 9, 9, 0, 0, 0, 9, 9, 9, 0, 0], [9, 9, 0, 9, 9, 9, 9, 9, 9, 0, 9, 9, 9, 9, 0], [0, 0, 0, 0, 0, 9, 0, 9, 0, 0, 9, 9, 0, 9, 0], [0, 0, 0, 9, 9, 9, 0, 9, 0, 9, 9, 9, 0, 9, 0], [0, 0, 9, 0, 9, 9, 0, 9, 0, 9, 0, 0, 0, 9, 9], [0, 0, 0, 0, 9, 9, 0, 9, 9, 0, 9, 9, 9, 0, 0]] -> [[3, 0, 3, 0, 0, 0, 3, 3, 0, 3, 3, 3, 0, 3, 0], [3, 3, 0, 3, 0, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0], [0, 3, 0, 0, 3, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0], [3, 0, 0, 0, 3, 3, 3, 0, 0, 3, 0, 0, 3, 0, 0], [0, 0, 3, 0, 0, 3, 3, 3, 3, 3, 0, 3, 0, 3, 3], [0, 3, 0, 3, 0, 3, 3, 0, 3, 3, 3, 0, 3, 0, 0], [3, 3, 0, 0, 3, 3, 3, 0, 3, 3, 3, 0, 3, 0, 0], [3, 3, 0, 0, 3, 3, 3, 0, 0, 3, 3, 3, 0, 3, 3], [0, 3, 3, 3, 3, 3, 0, 3, 3, 0, 0, 3, 3, 0, 0], [3, 0, 3, 0, 0, 3, 3, 0, 3, 0, 0, 3, 0, 3, 0], [0, 0, 0, 3, 0, 3, 3, 0, 3, 0, 0, 0, 3, 0, 3], [3, 0, 0, 0, 3, 0, 3, 3, 0, 0, 3, 0, 0, 0, 0], [3, 0, 3, 0, 0, 3, 0, 3, 0, 3, 0, 0, 3, 0, 3], [3, 3, 3, 0, 0, 3, 3, 0, 3, 0, 3, 3, 0, 3, 3], [3, 0, 0, 3, 3, 3, 0, 0, 0, 3, 3, 3, 3, 3, 0]]\nExample input-output arrays:\n[[8, 0, 8, 0, 0, 8, 8, 0, 0, 8, 8, 8, 0, 0, 0], [0, 0, 0, 0, 8, 8, 0, 8, 0, 8, 8, 0, 0, 8, 8], [0, 8, 0, 8, 0, 0, 8, 8, 8, 0, 0, 8, 0, 0, 0], [8, 0, 8, 0, 0, 8, 0, 0, 8, 8, 8, 8, 8, 0, 8], [0, 0, 8, 8, 8, 8, 0, 0, 0, 0, 8, 0, 8, 8, 0], [8, 0, 8, 0, 8, 8, 0, 0, 8, 0, 8, 8, 0, 8, 8], [8, 0, 8, 0, 0, 8, 0, 0, 0, 0, 8, 8, 8, 8, 8], [0, 8, 0, 8, 0, 8, 0, 0, 0, 0, 8, 0, 8, 8, 8], [8, 0, 0, 8, 8, 8, 0, 0, 0, 0, 8, 8, 8, 8, 8], [8, 0, 0, 8, 0, 0, 0, 0, 8, 0, 8, 0, 8, 8, 0], [8, 8, 0, 0, 8, 0, 0, 8, 0, 0, 8, 8, 0, 8, 8], [8, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 8, 0, 8, 0], [8, 0, 8, 8, 8, 0, 0, 0, 0, 0, 8, 8, 8, 8, 8], [8, 8, 0, 0, 8, 0, 8, 8, 8, 8, 8, 8, 0, 0, 0], [8, 0, 0, 8, 0, 0, 0, 8, 8, 8, 0, 0, 0, 8, 0], [0, 0, 0, 0, 0, 9, 0, 9, 0, 0, 0, 0, 0, 9, 0], [9, 9, 0, 9, 9, 0, 9, 0, 9, 0, 9, 0, 0, 9, 9], [0, 0, 0, 9, 9, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0], [0, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 9, 0, 0, 9], [0, 0, 0, 9, 9, 0, 9, 9, 9, 9, 9, 9, 9, 0, 9], [9, 9, 9, 9, 9, 0, 9, 0, 0, 9, 0, 9, 9, 9, 9], [0, 9, 9, 0, 9, 0, 9, 0, 9, 9, 0, 9, 0, 9, 9], [9, 0, 0, 9, 9, 0, 9, 0, 0, 9, 0, 9, 9, 0, 0], [9, 9, 9, 0, 0, 0, 0, 9, 9, 0, 9, 0, 0, 9, 9], [0, 0, 9, 9, 0, 9, 9, 0, 0, 0, 9, 9, 9, 0, 0], [9, 9, 0, 9, 9, 9, 9, 9, 9, 0, 9, 9, 9, 9, 0], [0, 0, 0, 0, 0, 9, 0, 9, 0, 0, 9, 9, 0, 9, 0], [0, 0, 0, 9, 9, 9, 0, 9, 0, 9, 9, 9, 0, 9, 0], [0, 0, 9, 0, 9, 9, 0, 9, 0, 9, 0, 0, 0, 9, 9], [0, 0, 0, 0, 9, 9, 0, 9, 9, 0, 9, 9, 9, 0, 0]] -> [[3, 0, 3, 0, 0, 0, 3, 3, 0, 3, 3, 3, 0, 3, 0], [3, 3, 0, 3, 0, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0], [0, 3, 0, 0, 3, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0], [3, 0, 0, 0, 3, 3, 3, 0, 0, 3, 0, 0, 3, 0, 0], [0, 0, 3, 0, 0, 3, 3, 3, 3, 3, 0, 3, 0, 3, 3], [0, 3, 0, 3, 0, 3, 3, 0, 3, 3, 3, 0, 3, 0, 0], [3, 3, 0, 0, 3, 3, 3, 0, 3, 3, 3, 0, 3, 0, 0], [3, 3, 0, 0, 3, 3, 3, 0, 0, 3, 3, 3, 0, 3, 3], [0, 3, 3, 3, 3, 3, 0, 3, 3, 0, 0, 3, 3, 0, 0], [3, 0, 3, 0, 0, 3, 3, 0, 3, 0, 0, 3, 0, 3, 0], [0, 0, 0, 3, 0, 3, 3, 0, 3, 0, 0, 0, 3, 0, 3], [3, 0, 0, 0, 3, 0, 3, 3, 0, 0, 3, 0, 0, 0, 0], [3, 0, 3, 0, 0, 3, 0, 3, 0, 3, 0, 0, 3, 0, 3], [3, 3, 3, 0, 0, 3, 3, 0, 3, 0, 3, 3, 0, 3, 3], [3, 0, 0, 3, 3, 3, 0, 0, 0, 3, 3, 3, 3, 3, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[4, 0, 4, 0, 0, 4, 4, 0, 0, 4, 4, 4, 0, 0, 0], [0, 0, 0, 0, 4, 4, 0, 4, 0, 4, 4, 0, 0, 4, 4], [0, 4, 0, 4, 0, 0, 4, 4, 4, 0, 0, 4, 0, 0, 0], [4, 0, 4, 0, 0, 4, 0, 0, 4, 4, 4, 4, 4, 0, 4], [0, 0, 4, 4, 4, 4, 0, 0, 0, 0, 4, 0, 4, 4, 0], [4, 0, 4, 0, 4, 4, 0, 0, 4, 0, 4, 4, 0, 4, 4], [4, 0, 4, 0, 0, 4, 0, 0, 0, 0, 4, 4, 4, 4, 4], [0, 4, 0, 4, 0, 4, 0, 0, 0, 0, 4, 0, 4, 4, 4], [4, 0, 0, 4, 4, 4, 0, 0, 0, 0, 4, 4, 4, 4, 4], [4, 0, 0, 4, 0, 0, 0, 0, 4, 0, 4, 0, 4, 4, 0], [4, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 4, 0, 4, 4], [4, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 4, 0, 4, 0], [4, 0, 4, 4, 4, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4], [4, 4, 0, 0, 4, 0, 4, 4, 4, 4, 4, 4, 0, 0, 0], [4, 0, 0, 4, 0, 0, 0, 4, 4, 4, 0, 0, 0, 4, 0], [0, 0, 0, 0, 0, 9, 0, 9, 0, 0, 0, 0, 0, 9, 0], [9, 9, 0, 9, 9, 0, 9, 0, 9, 0, 9, 0, 0, 9, 9], [0, 0, 0, 9, 9, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0], [0, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 9, 0, 0, 9], [0, 0, 0, 9, 9, 0, 9, 9, 9, 9, 9, 9, 9, 0, 9], [9, 9, 9, 9, 9, 0, 9, 0, 0, 9, 0, 9, 9, 9, 9], [0, 9, 9, 0, 9, 0, 9, 0, 9, 9, 0, 9, 0, 9, 9], [9, 0, 0, 9, 9, 0, 9, 0, 0, 9, 0, 9, 9, 0, 0], [9, 9, 9, 0, 0, 0, 0, 9, 9, 0, 9, 0, 0, 9, 9], [0, 0, 9, 9, 0, 9, 9, 0, 0, 0, 9, 9, 9, 0, 0], [9, 9, 0, 9, 9, 9, 9, 9, 9, 0, 9, 9, 9, 9, 0], [0, 0, 0, 0, 0, 9, 0, 9, 0, 0, 9, 9, 0, 9, 0], [0, 0, 0, 9, 9, 9, 0, 9, 0, 9, 9, 9, 0, 9, 0], [0, 0, 9, 0, 9, 9, 0, 9, 0, 9, 0, 0, 0, 9, 9], [0, 0, 0, 0, 9, 9, 0, 9, 9, 0, 9, 9, 9, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            4,
+                            0,
+                            4,
+                            0,
+                            0,
+                            4,
+                            4,
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+                        ],
+                        [
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+                        ],
+                        [
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+                            4,
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+                            0,
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+                        ],
+                        [
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+                        ],
+                        [
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+                        ],
+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        ],
+                        [
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+                        ],
+                        [
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+                        ],
+                        [
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+                        [
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+                        [
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+                            0,
+                            0,
+                            9,
+                            9,
+                            0,
+                            9,
+                            9,
+                            0,
+                            9,
+                            9,
+                            9,
+                            0,
+                            0
+                        ]
+                    ],
+                    "output": [
+                        [
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0
+                        ],
+                        [
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3
+                        ],
+                        [
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0
+                        ],
+                        [
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0
+                        ],
+                        [
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3
+                        ],
+                        [
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0
+                        ],
+                        [
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3
+                        ],
+                        [
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0
+                        ]
+                    ]
+                }
+            }
+        }
+    },
+    "SCMdky5!xor!20x20": {
+        "L1": {
+            "Replicate 0": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 6, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 6, 0, 6, 6, 6, 6, 6, 0], [6, 0, 6, 0, 0, 0, 6, 6, 6, 6, 6, 0, 0, 0, 6, 6, 6, 6, 0, 0], [6, 6, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6, 6, 6, 0, 0, 0, 6, 0, 6], [6, 6, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 6, 0, 6, 6], [0, 0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 6, 6, 6, 0, 0, 0, 6, 6, 0], [6, 6, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 6, 6, 6, 0, 0, 6, 6, 0], [0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6, 6, 6, 0, 6, 6], [6, 6, 0, 0, 0, 6, 0, 0, 6, 6, 0, 0, 6, 0, 6, 6, 0, 0, 6, 6], [6, 6, 0, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6], [0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6], [0, 0, 6, 0, 6, 6, 6, 6, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 6], [6, 0, 0, 0, 6, 6, 6, 0, 6, 0, 6, 0, 6, 0, 0, 6, 6, 6, 6, 0], [0, 0, 0, 6, 0, 6, 0, 6, 0, 0, 0, 6, 6, 6, 0, 0, 0, 6, 0, 6], [0, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 0, 0, 6], [6, 6, 0, 0, 6, 6, 6, 6, 0, 6, 6, 0, 6, 0, 6, 6, 6, 0, 6, 0], [0, 0, 0, 0, 0, 0, 6, 0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 0, 0, 6], [6, 6, 6, 0, 6, 0, 0, 6, 6, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0], [0, 6, 0, 0, 0, 6, 0, 0, 0, 0, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6], [6, 0, 6, 0, 6, 6, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 0, 6, 0], [6, 0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 0, 0, 0, 6, 0], [0, 7, 0, 7, 7, 0, 7, 0, 0, 0, 7, 7, 7, 0, 7, 7, 7, 0, 7, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0], [0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7, 7, 7, 0, 0, 0, 7, 7, 7, 7], [7, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7, 7, 0, 0, 7, 7, 0], [7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 7, 0, 0], [7, 0, 7, 7, 7, 7, 0, 7, 0, 0, 7, 0, 7, 7, 0, 0, 7, 7, 7, 7], [7, 7, 0, 0, 0, 7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0], [7, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 7, 7, 7, 7, 0, 7, 7, 0, 0], [7, 7, 0, 7, 7, 0, 7, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 0], [7, 0, 0, 7, 7, 0, 7, 0, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7, 0, 7], [0, 7, 7, 7, 7, 0, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 0, 7, 7, 0], [7, 7, 0, 7, 7, 7, 7, 7, 0, 0, 7, 7, 0, 0, 7, 0, 7, 0, 7, 7], [0, 7, 0, 0, 0, 0, 7, 7, 7, 0, 7, 7, 7, 7, 0, 0, 0, 7, 0, 0], [7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7], [0, 0, 7, 0, 7, 7, 0, 7, 7, 7, 0, 7, 0, 0, 0, 7, 7, 7, 0, 0], [0, 7, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 0, 0], [7, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 0, 7, 7], [0, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7, 0, 0, 0, 7, 7, 0, 7, 7], [7, 7, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 0, 7, 0, 7, 7, 0, 0]] -> [[0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 4, 0, 0], [4, 0, 4, 0, 0, 0, 4, 4, 4, 4, 0, 0, 0, 0, 4, 0, 4, 4, 0, 0], [4, 0, 0, 0, 4, 0, 0, 0, 0, 4, 4, 0, 0, 4, 0, 0, 4, 0, 4, 0], [0, 0, 4, 0, 0, 4, 0, 4, 4, 4, 4, 4, 4, 0, 0, 0, 4, 4, 0, 4], [4, 0, 0, 4, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 0, 4, 0, 0, 4, 0], [0, 4, 4, 0, 4, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 4, 0, 0, 4], [4, 0, 4, 4, 0, 4, 0, 0, 4, 0, 4, 4, 0, 4, 0, 0, 0, 4, 0, 4], [0, 4, 0, 0, 4, 4, 4, 4, 0, 4, 0, 4, 0, 4, 0, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 4, 4, 4, 0, 4, 0, 0, 4, 0, 0, 0, 0, 4, 4, 4], [0, 0, 4, 4, 0, 4, 4, 0, 4, 0, 0, 0, 4, 4, 0, 4, 0, 4, 4, 4], [4, 0, 4, 4, 0, 4, 0, 4, 4, 4, 4, 0, 4, 0, 4, 0, 4, 4, 0, 0], [4, 4, 4, 4, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0], [4, 4, 0, 0, 4, 0, 4, 0, 0, 0, 4, 0, 4, 4, 4, 0, 4, 4, 4, 0], [0, 0, 0, 4, 4, 4, 0, 4, 4, 4, 4, 0, 0, 0, 4, 4, 4, 4, 0, 4], [0, 4, 4, 0, 4, 4, 0, 4, 0, 4, 4, 4, 4, 4, 4, 0, 0, 4, 0, 4], [0, 0, 4, 0, 4, 4, 4, 4, 4, 0, 0, 0, 4, 4, 4, 0, 0, 4, 0, 4], [4, 0, 4, 0, 0, 4, 4, 4, 4, 4, 4, 4, 0, 4, 4, 4, 4, 0, 0, 0], [4, 0, 4, 0, 0, 4, 4, 0, 0, 0, 0, 4, 0, 4, 0, 0, 0, 4, 0, 0], [4, 0, 0, 0, 0, 4, 4, 4, 0, 4, 0, 0, 4, 4, 4, 0, 0, 0, 0, 4], [0, 4, 0, 0, 0, 4, 4, 0, 4, 4, 4, 4, 4, 4, 4, 0, 4, 4, 4, 0]]\nExample input-output arrays:\n[[0, 6, 0, 0, 6, 6, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 6, 6], [6, 0, 6, 0, 6, 0, 6, 6, 6, 0, 0, 6, 0, 6, 0, 0, 6, 0, 6, 0], [0, 6, 0, 6, 0, 6, 6, 0, 6, 0, 0, 6, 6, 6, 0, 6, 6, 0, 6, 6], [6, 0, 6, 0, 6, 6, 6, 0, 6, 0, 0, 6, 0, 6, 0, 6, 6, 0, 6, 6], [0, 0, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 6, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6], [0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 6, 0, 6, 6, 6, 0], [6, 0, 0, 6, 6, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0], [6, 6, 0, 6, 0, 0, 6, 0, 6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 0, 6], [0, 6, 6, 0, 6, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6, 6, 6, 0, 0, 6], [0, 6, 0, 0, 0, 0, 0, 6, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6, 0, 0], [6, 0, 6, 6, 6, 0, 0, 0, 0, 6, 0, 6, 0, 6, 0, 0, 6, 0, 6, 0], [6, 6, 0, 0, 0, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 6, 0, 6], [6, 0, 6, 6, 0, 0, 6, 6, 0, 6, 6, 6, 0, 0, 6, 0, 0, 6, 6, 6], [6, 6, 0, 6, 6, 0, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0], [0, 6, 6, 6, 6, 0, 6, 0, 0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 0, 0], [0, 0, 0, 6, 0, 0, 6, 6, 0, 0, 6, 0, 0, 0, 6, 0, 6, 0, 6, 6], [6, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6, 0, 0, 6, 6, 6, 6], [6, 6, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6], [6, 0, 6, 6, 6, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 0, 0], [7, 7, 7, 0, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 0, 0, 7, 0, 0, 0], [7, 7, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 7, 0, 0, 7, 7, 0, 7, 0], [7, 0, 7, 0, 0, 0, 0, 7, 7, 7, 7, 7, 0, 0, 7, 0, 7, 0, 0, 7], [0, 7, 0, 7, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 7, 0, 0, 0], [0, 7, 7, 7, 0, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 0], [7, 7, 7, 7, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 0, 7, 7, 0], [7, 7, 0, 7, 7, 0, 0, 0, 0, 7, 7, 0, 0, 7, 0, 7, 0, 7, 0, 0], [0, 7, 7, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0], [7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 7, 7, 7, 0, 0], [0, 0, 7, 0, 7, 0, 0, 0, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0, 7, 7], [7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 7, 7, 7], [7, 7, 0, 7, 7, 7, 0, 0, 0, 7, 7, 0, 7, 7, 0, 0, 7, 7, 0, 7], [0, 0, 7, 7, 0, 7, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 7, 7, 7, 7], [0, 7, 7, 0, 0, 7, 0, 0, 7, 7, 0, 7, 0, 7, 7, 7, 7, 0, 7, 7], [7, 0, 0, 0, 0, 7, 7, 7, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0], [7, 7, 0, 7, 7, 7, 0, 7, 0, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 7], [7, 7, 7, 7, 0, 7, 7, 0, 7, 7, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0], [0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 7, 0, 7, 7, 7, 0, 0, 0, 0, 0], [7, 0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7, 0, 7, 0, 7], [7, 0, 0, 7, 7, 7, 0, 0, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 0, 0]] -> [[4, 0, 4, 0, 0, 0, 0, 4, 4, 0, 0, 4, 4, 0, 4, 0, 0, 4, 4, 4], [0, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 4, 4, 4, 0, 4, 0, 0, 0, 0], [4, 4, 4, 4, 0, 4, 4, 4, 0, 4, 4, 0, 4, 4, 4, 4, 0, 0, 4, 0], [4, 4, 4, 4, 0, 4, 0, 0, 4, 0, 4, 4, 0, 4, 0, 0, 0, 0, 4, 4], [0, 4, 4, 4, 4, 0, 4, 4, 0, 0, 4, 4, 4, 0, 0, 0, 4, 4, 0, 0], [4, 0, 0, 4, 0, 0, 4, 4, 4, 0, 4, 4, 0, 0, 4, 0, 4, 0, 0, 4], [4, 4, 0, 0, 4, 0, 0, 4, 0, 4, 4, 4, 4, 4, 4, 4, 4, 0, 4, 0], [4, 4, 4, 4, 0, 4, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0], [0, 4, 4, 0, 4, 4, 0, 4, 0, 0, 0, 4, 4, 4, 4, 0, 4, 0, 0, 4], [0, 4, 0, 0, 0, 0, 0, 4, 0, 4, 4, 0, 4, 0, 0, 4, 4, 0, 4, 0], [4, 0, 4, 4, 0, 0, 0, 4, 0, 4, 0, 0, 4, 4, 0, 4, 0, 0, 4, 4], [0, 4, 4, 0, 0, 4, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 4, 4, 4], [4, 4, 4, 4, 0, 4, 4, 0, 0, 0, 4, 0, 4, 4, 4, 4, 4, 0, 4, 0], [4, 4, 0, 4, 0, 4, 4, 4, 4, 0, 4, 0, 0, 4, 0, 4, 4, 4, 0, 0], [0, 4, 0, 4, 4, 4, 0, 0, 0, 4, 4, 4, 4, 0, 4, 4, 0, 4, 4, 0], [4, 0, 4, 0, 0, 4, 4, 4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 4, 4, 4], [4, 4, 4, 0, 0, 4, 0, 4, 4, 4, 4, 0, 0, 0, 0, 4, 0, 0, 4, 4], [4, 0, 4, 0, 4, 4, 4, 4, 4, 0, 0, 4, 0, 0, 4, 0, 4, 4, 4, 4], [0, 4, 0, 4, 0, 4, 4, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 4, 0], [0, 0, 4, 0, 0, 4, 0, 0, 4, 4, 0, 4, 4, 0, 4, 4, 4, 0, 0, 0]]\nExample input-output arrays:\n[[6, 6, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 6, 6, 0, 6, 6], [0, 6, 6, 6, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0], [6, 6, 0, 0, 6, 0, 0, 6, 6, 6, 0, 6, 0, 0, 0, 6, 6, 6, 0, 0], [0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6], [6, 0, 6, 6, 6, 0, 6, 0, 0, 0, 6, 0, 0, 0, 6, 6, 6, 6, 0, 6], [0, 6, 6, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 6, 0, 6, 6, 6, 6], [6, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 6, 6, 6, 6, 6, 6, 0], [0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 0, 0, 6, 6], [0, 0, 6, 0, 0, 6, 6, 6, 0, 6, 0, 0, 6, 6, 0, 6, 6, 6, 6, 0], [0, 0, 6, 0, 6, 0, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 6, 0, 6, 0, 0, 0, 0, 6], [0, 0, 6, 0, 0, 6, 0, 6, 6, 0, 6, 0, 0, 6, 6, 6, 6, 0, 0, 6], [0, 6, 0, 6, 0, 6, 6, 0, 6, 0, 6, 0, 6, 0, 6, 6, 6, 6, 0, 0], [0, 6, 6, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0], [0, 6, 0, 0, 6, 6, 0, 6, 0, 0, 6, 0, 0, 6, 6, 0, 0, 0, 0, 6], [0, 6, 0, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 6, 0, 0, 0, 6, 6, 6], [6, 6, 0, 6, 6, 0, 6, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6], [0, 0, 6, 0, 0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 6, 0, 0], [0, 0, 6, 6, 6, 6, 6, 0, 6, 0, 6, 6, 6, 6, 0, 6, 0, 0, 6, 6], [6, 6, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6], [0, 0, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7], [7, 0, 0, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7, 0, 0, 7, 0, 7], [0, 0, 0, 7, 7, 0, 7, 0, 7, 7, 0, 7, 0, 0, 7, 7, 7, 7, 0, 0], [7, 0, 0, 7, 0, 7, 7, 0, 0, 7, 0, 0, 7, 0, 7, 7, 7, 7, 0, 0], [7, 0, 7, 7, 7, 7, 0, 7, 0, 0, 7, 7, 0, 0, 0, 7, 7, 0, 0, 0], [0, 0, 7, 7, 0, 7, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 0, 0, 0, 7], [7, 7, 0, 0, 7, 0, 0, 7, 7, 0, 7, 0, 7, 7, 0, 0, 7, 7, 7, 7], [0, 7, 7, 7, 7, 0, 7, 0, 0, 7, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0], [0, 7, 0, 7, 0, 0, 0, 0, 7, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7], [0, 7, 7, 0, 0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0], [7, 0, 7, 7, 0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0], [0, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 7, 0, 7, 0, 7, 7, 0, 7, 7], [0, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0, 7], [7, 7, 7, 7, 7, 7, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0], [7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 7, 0, 7, 0, 7, 7], [0, 0, 0, 7, 0, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7], [7, 7, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 7, 0, 7], [0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 7], [0, 0, 7, 0, 7, 7, 0, 7, 0, 7, 7, 7, 7, 0, 7, 7, 0, 0, 0, 7], [7, 7, 0, 0, 7, 0, 7, 7, 0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 7, 7]] -> [[4, 4, 0, 4, 4, 0, 4, 4, 0, 4, 4, 4, 0, 4, 0, 0, 0, 0, 0, 0], [4, 4, 4, 4, 4, 0, 4, 4, 4, 4, 4, 0, 4, 4, 4, 0, 0, 0, 0, 4], [4, 4, 0, 4, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0], [4, 4, 4, 4, 0, 0, 0, 0, 4, 4, 0, 4, 0, 4, 4, 0, 0, 0, 0, 4], [0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 4], [0, 4, 0, 0, 0, 4, 4, 0, 0, 4, 4, 4, 0, 4, 0, 4, 4, 4, 4, 0], [0, 4, 0, 0, 4, 0, 0, 0, 4, 4, 4, 0, 4, 0, 4, 4, 0, 0, 0, 4], [0, 4, 0, 4, 4, 0, 4, 0, 0, 4, 4, 4, 4, 0, 0, 0, 0, 0, 4, 4], [0, 4, 4, 4, 0, 4, 4, 4, 4, 0, 0, 4, 4, 4, 0, 4, 4, 4, 4, 4], [0, 4, 0, 0, 4, 4, 4, 0, 0, 4, 4, 0, 0, 4, 4, 0, 4, 4, 4, 4], [0, 4, 0, 0, 4, 0, 0, 4, 4, 0, 0, 0, 4, 0, 4, 0, 0, 4, 4, 4], [0, 4, 0, 0, 0, 4, 4, 4, 0, 0, 4, 4, 0, 0, 4, 0, 0, 0, 4, 0], [0, 4, 4, 4, 4, 4, 0, 4, 0, 4, 0, 0, 4, 0, 4, 4, 0, 0, 0, 4], [4, 0, 0, 0, 4, 0, 0, 4, 0, 4, 4, 0, 4, 4, 0, 0, 4, 0, 4, 0], [4, 0, 4, 4, 4, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 4, 0], [0, 4, 0, 0, 4, 4, 4, 4, 0, 4, 4, 4, 4, 0, 4, 4, 0, 0, 0, 0], [0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 4, 0, 4, 4, 4, 0], [0, 4, 4, 0, 0, 0, 4, 4, 0, 4, 0, 4, 0, 4, 4, 4, 4, 4, 0, 4], [0, 0, 0, 4, 0, 0, 4, 4, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 4, 0], [0, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0, 0, 0, 0, 4, 0, 4, 4, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[8, 8, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 8, 8, 0, 8, 8], [0, 8, 8, 8, 0, 0, 0, 8, 0, 8, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0], [8, 8, 0, 0, 8, 0, 0, 8, 8, 8, 0, 8, 0, 0, 0, 8, 8, 8, 0, 0], [0, 8, 8, 0, 0, 8, 8, 0, 8, 0, 0, 8, 8, 8, 0, 8, 8, 8, 0, 8], [8, 0, 8, 8, 8, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 8, 8, 8, 0, 8], [0, 8, 8, 8, 0, 0, 8, 0, 0, 8, 0, 0, 8, 0, 8, 0, 8, 8, 8, 8], [8, 0, 0, 0, 0, 0, 0, 8, 0, 8, 0, 0, 0, 8, 8, 8, 8, 8, 8, 0], [0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 8, 8, 0, 0, 8, 8], [0, 0, 8, 0, 0, 8, 8, 8, 0, 8, 0, 0, 8, 8, 0, 8, 8, 8, 8, 0], [0, 0, 8, 0, 8, 0, 8, 0, 8, 8, 8, 0, 8, 8, 0, 0, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 0, 8, 8, 0, 8, 8, 0, 8, 0, 0, 0, 0, 8], [0, 0, 8, 0, 0, 8, 0, 8, 8, 0, 8, 0, 0, 8, 8, 8, 8, 0, 0, 8], [0, 8, 0, 8, 0, 8, 8, 0, 8, 0, 8, 0, 8, 0, 8, 8, 8, 8, 0, 0], [0, 8, 8, 8, 0, 8, 0, 8, 0, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0], [0, 8, 0, 0, 8, 8, 0, 8, 0, 0, 8, 0, 0, 8, 8, 0, 0, 0, 0, 8], [0, 8, 0, 8, 8, 0, 8, 0, 8, 8, 0, 0, 8, 8, 0, 0, 0, 8, 8, 8], [8, 8, 0, 8, 8, 0, 8, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 8, 8], [0, 0, 8, 0, 0, 0, 8, 0, 8, 8, 0, 8, 8, 8, 0, 0, 0, 8, 0, 0], [0, 0, 8, 8, 8, 8, 8, 0, 8, 0, 8, 8, 8, 8, 0, 8, 0, 0, 8, 8], [8, 8, 0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 0, 8, 8, 8, 8, 8, 8, 8], [0, 0, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7], [7, 0, 0, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7, 0, 0, 7, 0, 7], [0, 0, 0, 7, 7, 0, 7, 0, 7, 7, 0, 7, 0, 0, 7, 7, 7, 7, 0, 0], [7, 0, 0, 7, 0, 7, 7, 0, 0, 7, 0, 0, 7, 0, 7, 7, 7, 7, 0, 0], [7, 0, 7, 7, 7, 7, 0, 7, 0, 0, 7, 7, 0, 0, 0, 7, 7, 0, 0, 0], [0, 0, 7, 7, 0, 7, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 0, 0, 0, 7], [7, 7, 0, 0, 7, 0, 0, 7, 7, 0, 7, 0, 7, 7, 0, 0, 7, 7, 7, 7], [0, 7, 7, 7, 7, 0, 7, 0, 0, 7, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0], [0, 7, 0, 7, 0, 0, 0, 0, 7, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7], [0, 7, 7, 0, 0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0], [7, 0, 7, 7, 0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0], [0, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 7, 0, 7, 0, 7, 7, 0, 7, 7], [0, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0, 7], [7, 7, 7, 7, 7, 7, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0], [7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 7, 0, 7, 0, 7, 7], [0, 0, 0, 7, 0, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7], [7, 7, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 7, 0, 7], [0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 7], [0, 0, 7, 0, 7, 7, 0, 7, 0, 7, 7, 7, 7, 0, 7, 7, 0, 0, 0, 7], [7, 7, 0, 0, 7, 0, 7, 7, 0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 7, 7]] -> ",
+                "test": {
+                    "input": [
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+                    "output": [
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+            },
+            "Replicate 1": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[6, 6, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 6, 6, 0, 6, 6], [0, 6, 6, 6, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0], [6, 6, 0, 0, 6, 0, 0, 6, 6, 6, 0, 6, 0, 0, 0, 6, 6, 6, 0, 0], [0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6], [6, 0, 6, 6, 6, 0, 6, 0, 0, 0, 6, 0, 0, 0, 6, 6, 6, 6, 0, 6], [0, 6, 6, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 6, 0, 6, 6, 6, 6], [6, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 6, 6, 6, 6, 6, 6, 0], [0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 0, 0, 6, 6], [0, 0, 6, 0, 0, 6, 6, 6, 0, 6, 0, 0, 6, 6, 0, 6, 6, 6, 6, 0], [0, 0, 6, 0, 6, 0, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 6, 0, 6, 0, 0, 0, 0, 6], [0, 0, 6, 0, 0, 6, 0, 6, 6, 0, 6, 0, 0, 6, 6, 6, 6, 0, 0, 6], [0, 6, 0, 6, 0, 6, 6, 0, 6, 0, 6, 0, 6, 0, 6, 6, 6, 6, 0, 0], [0, 6, 6, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0], [0, 6, 0, 0, 6, 6, 0, 6, 0, 0, 6, 0, 0, 6, 6, 0, 0, 0, 0, 6], [0, 6, 0, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 6, 0, 0, 0, 6, 6, 6], [6, 6, 0, 6, 6, 0, 6, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6], [0, 0, 6, 0, 0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 6, 0, 0], [0, 0, 6, 6, 6, 6, 6, 0, 6, 0, 6, 6, 6, 6, 0, 6, 0, 0, 6, 6], [6, 6, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6], [0, 0, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7], [7, 0, 0, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7, 0, 0, 7, 0, 7], [0, 0, 0, 7, 7, 0, 7, 0, 7, 7, 0, 7, 0, 0, 7, 7, 7, 7, 0, 0], [7, 0, 0, 7, 0, 7, 7, 0, 0, 7, 0, 0, 7, 0, 7, 7, 7, 7, 0, 0], [7, 0, 7, 7, 7, 7, 0, 7, 0, 0, 7, 7, 0, 0, 0, 7, 7, 0, 0, 0], [0, 0, 7, 7, 0, 7, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 0, 0, 0, 7], [7, 7, 0, 0, 7, 0, 0, 7, 7, 0, 7, 0, 7, 7, 0, 0, 7, 7, 7, 7], [0, 7, 7, 7, 7, 0, 7, 0, 0, 7, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0], [0, 7, 0, 7, 0, 0, 0, 0, 7, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7], [0, 7, 7, 0, 0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0], [7, 0, 7, 7, 0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0], [0, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 7, 0, 7, 0, 7, 7, 0, 7, 7], [0, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0, 7], [7, 7, 7, 7, 7, 7, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0], [7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 7, 0, 7, 0, 7, 7], [0, 0, 0, 7, 0, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7], [7, 7, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 7, 0, 7], [0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 7], [0, 0, 7, 0, 7, 7, 0, 7, 0, 7, 7, 7, 7, 0, 7, 7, 0, 0, 0, 7], [7, 7, 0, 0, 7, 0, 7, 7, 0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 7, 7]] -> [[4, 4, 0, 4, 4, 0, 4, 4, 0, 4, 4, 4, 0, 4, 0, 0, 0, 0, 0, 0], [4, 4, 4, 4, 4, 0, 4, 4, 4, 4, 4, 0, 4, 4, 4, 0, 0, 0, 0, 4], [4, 4, 0, 4, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0], [4, 4, 4, 4, 0, 0, 0, 0, 4, 4, 0, 4, 0, 4, 4, 0, 0, 0, 0, 4], [0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 4], [0, 4, 0, 0, 0, 4, 4, 0, 0, 4, 4, 4, 0, 4, 0, 4, 4, 4, 4, 0], [0, 4, 0, 0, 4, 0, 0, 0, 4, 4, 4, 0, 4, 0, 4, 4, 0, 0, 0, 4], [0, 4, 0, 4, 4, 0, 4, 0, 0, 4, 4, 4, 4, 0, 0, 0, 0, 0, 4, 4], [0, 4, 4, 4, 0, 4, 4, 4, 4, 0, 0, 4, 4, 4, 0, 4, 4, 4, 4, 4], [0, 4, 0, 0, 4, 4, 4, 0, 0, 4, 4, 0, 0, 4, 4, 0, 4, 4, 4, 4], [0, 4, 0, 0, 4, 0, 0, 4, 4, 0, 0, 0, 4, 0, 4, 0, 0, 4, 4, 4], [0, 4, 0, 0, 0, 4, 4, 4, 0, 0, 4, 4, 0, 0, 4, 0, 0, 0, 4, 0], [0, 4, 4, 4, 4, 4, 0, 4, 0, 4, 0, 0, 4, 0, 4, 4, 0, 0, 0, 4], [4, 0, 0, 0, 4, 0, 0, 4, 0, 4, 4, 0, 4, 4, 0, 0, 4, 0, 4, 0], [4, 0, 4, 4, 4, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 4, 0], [0, 4, 0, 0, 4, 4, 4, 4, 0, 4, 4, 4, 4, 0, 4, 4, 0, 0, 0, 0], [0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 4, 0, 4, 4, 4, 0], [0, 4, 4, 0, 0, 0, 4, 4, 0, 4, 0, 4, 0, 4, 4, 4, 4, 4, 0, 4], [0, 0, 0, 4, 0, 0, 4, 4, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 4, 0], [0, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0, 0, 0, 0, 4, 0, 4, 4, 0, 0]]\nExample input-output arrays:\n[[0, 6, 0, 0, 6, 6, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 6, 6], [6, 0, 6, 0, 6, 0, 6, 6, 6, 0, 0, 6, 0, 6, 0, 0, 6, 0, 6, 0], [0, 6, 0, 6, 0, 6, 6, 0, 6, 0, 0, 6, 6, 6, 0, 6, 6, 0, 6, 6], [6, 0, 6, 0, 6, 6, 6, 0, 6, 0, 0, 6, 0, 6, 0, 6, 6, 0, 6, 6], [0, 0, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 6, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6], [0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 6, 0, 6, 6, 6, 0], [6, 0, 0, 6, 6, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0], [6, 6, 0, 6, 0, 0, 6, 0, 6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 0, 6], [0, 6, 6, 0, 6, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6, 6, 6, 0, 0, 6], [0, 6, 0, 0, 0, 0, 0, 6, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6, 0, 0], [6, 0, 6, 6, 6, 0, 0, 0, 0, 6, 0, 6, 0, 6, 0, 0, 6, 0, 6, 0], [6, 6, 0, 0, 0, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 6, 0, 6], [6, 0, 6, 6, 0, 0, 6, 6, 0, 6, 6, 6, 0, 0, 6, 0, 0, 6, 6, 6], [6, 6, 0, 6, 6, 0, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0], [0, 6, 6, 6, 6, 0, 6, 0, 0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 0, 0], [0, 0, 0, 6, 0, 0, 6, 6, 0, 0, 6, 0, 0, 0, 6, 0, 6, 0, 6, 6], [6, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6, 0, 0, 6, 6, 6, 6], [6, 6, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6], [6, 0, 6, 6, 6, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 0, 0], [7, 7, 7, 0, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 0, 0, 7, 0, 0, 0], [7, 7, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 7, 0, 0, 7, 7, 0, 7, 0], [7, 0, 7, 0, 0, 0, 0, 7, 7, 7, 7, 7, 0, 0, 7, 0, 7, 0, 0, 7], [0, 7, 0, 7, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 7, 0, 0, 0], [0, 7, 7, 7, 0, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 0], [7, 7, 7, 7, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 0, 7, 7, 0], [7, 7, 0, 7, 7, 0, 0, 0, 0, 7, 7, 0, 0, 7, 0, 7, 0, 7, 0, 0], [0, 7, 7, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0], [7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 7, 7, 7, 0, 0], [0, 0, 7, 0, 7, 0, 0, 0, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0, 7, 7], [7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 7, 7, 7], [7, 7, 0, 7, 7, 7, 0, 0, 0, 7, 7, 0, 7, 7, 0, 0, 7, 7, 0, 7], [0, 0, 7, 7, 0, 7, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 7, 7, 7, 7], [0, 7, 7, 0, 0, 7, 0, 0, 7, 7, 0, 7, 0, 7, 7, 7, 7, 0, 7, 7], [7, 0, 0, 0, 0, 7, 7, 7, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0], [7, 7, 0, 7, 7, 7, 0, 7, 0, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 7], [7, 7, 7, 7, 0, 7, 7, 0, 7, 7, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0], [0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 7, 0, 7, 7, 7, 0, 0, 0, 0, 0], [7, 0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7, 0, 7, 0, 7], [7, 0, 0, 7, 7, 7, 0, 0, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 0, 0]] -> [[4, 0, 4, 0, 0, 0, 0, 4, 4, 0, 0, 4, 4, 0, 4, 0, 0, 4, 4, 4], [0, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 4, 4, 4, 0, 4, 0, 0, 0, 0], [4, 4, 4, 4, 0, 4, 4, 4, 0, 4, 4, 0, 4, 4, 4, 4, 0, 0, 4, 0], [4, 4, 4, 4, 0, 4, 0, 0, 4, 0, 4, 4, 0, 4, 0, 0, 0, 0, 4, 4], [0, 4, 4, 4, 4, 0, 4, 4, 0, 0, 4, 4, 4, 0, 0, 0, 4, 4, 0, 0], [4, 0, 0, 4, 0, 0, 4, 4, 4, 0, 4, 4, 0, 0, 4, 0, 4, 0, 0, 4], [4, 4, 0, 0, 4, 0, 0, 4, 0, 4, 4, 4, 4, 4, 4, 4, 4, 0, 4, 0], [4, 4, 4, 4, 0, 4, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0], [0, 4, 4, 0, 4, 4, 0, 4, 0, 0, 0, 4, 4, 4, 4, 0, 4, 0, 0, 4], [0, 4, 0, 0, 0, 0, 0, 4, 0, 4, 4, 0, 4, 0, 0, 4, 4, 0, 4, 0], [4, 0, 4, 4, 0, 0, 0, 4, 0, 4, 0, 0, 4, 4, 0, 4, 0, 0, 4, 4], [0, 4, 4, 0, 0, 4, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 4, 4, 4], [4, 4, 4, 4, 0, 4, 4, 0, 0, 0, 4, 0, 4, 4, 4, 4, 4, 0, 4, 0], [4, 4, 0, 4, 0, 4, 4, 4, 4, 0, 4, 0, 0, 4, 0, 4, 4, 4, 0, 0], [0, 4, 0, 4, 4, 4, 0, 0, 0, 4, 4, 4, 4, 0, 4, 4, 0, 4, 4, 0], [4, 0, 4, 0, 0, 4, 4, 4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 4, 4, 4], [4, 4, 4, 0, 0, 4, 0, 4, 4, 4, 4, 0, 0, 0, 0, 4, 0, 0, 4, 4], [4, 0, 4, 0, 4, 4, 4, 4, 4, 0, 0, 4, 0, 0, 4, 0, 4, 4, 4, 4], [0, 4, 0, 4, 0, 4, 4, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 4, 0], [0, 0, 4, 0, 0, 4, 0, 0, 4, 4, 0, 4, 4, 0, 4, 4, 4, 0, 0, 0]]\nExample input-output arrays:\n[[0, 6, 0, 0, 6, 6, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 6, 6], [6, 0, 6, 0, 6, 0, 6, 6, 6, 0, 0, 6, 0, 6, 0, 0, 6, 0, 6, 0], [0, 6, 0, 6, 0, 6, 6, 0, 6, 0, 0, 6, 6, 6, 0, 6, 6, 0, 6, 6], [6, 0, 6, 0, 6, 6, 6, 0, 6, 0, 0, 6, 0, 6, 0, 6, 6, 0, 6, 6], [0, 0, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 6, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6], [0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 6, 0, 6, 6, 6, 0], [6, 0, 0, 6, 6, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0], [6, 6, 0, 6, 0, 0, 6, 0, 6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 0, 6], [0, 6, 6, 0, 6, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6, 6, 6, 0, 0, 6], [0, 6, 0, 0, 0, 0, 0, 6, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6, 0, 0], [6, 0, 6, 6, 6, 0, 0, 0, 0, 6, 0, 6, 0, 6, 0, 0, 6, 0, 6, 0], [6, 6, 0, 0, 0, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 6, 0, 6], [6, 0, 6, 6, 0, 0, 6, 6, 0, 6, 6, 6, 0, 0, 6, 0, 0, 6, 6, 6], [6, 6, 0, 6, 6, 0, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0], [0, 6, 6, 6, 6, 0, 6, 0, 0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 0, 0], [0, 0, 0, 6, 0, 0, 6, 6, 0, 0, 6, 0, 0, 0, 6, 0, 6, 0, 6, 6], [6, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6, 0, 0, 6, 6, 6, 6], [6, 6, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6], [6, 0, 6, 6, 6, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 0, 0], [7, 7, 7, 0, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 0, 0, 7, 0, 0, 0], [7, 7, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 7, 0, 0, 7, 7, 0, 7, 0], [7, 0, 7, 0, 0, 0, 0, 7, 7, 7, 7, 7, 0, 0, 7, 0, 7, 0, 0, 7], [0, 7, 0, 7, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 7, 0, 0, 0], [0, 7, 7, 7, 0, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 0], [7, 7, 7, 7, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 0, 7, 7, 0], [7, 7, 0, 7, 7, 0, 0, 0, 0, 7, 7, 0, 0, 7, 0, 7, 0, 7, 0, 0], [0, 7, 7, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0], [7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 7, 7, 7, 0, 0], [0, 0, 7, 0, 7, 0, 0, 0, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0, 7, 7], [7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 7, 7, 7], [7, 7, 0, 7, 7, 7, 0, 0, 0, 7, 7, 0, 7, 7, 0, 0, 7, 7, 0, 7], [0, 0, 7, 7, 0, 7, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 7, 7, 7, 7], [0, 7, 7, 0, 0, 7, 0, 0, 7, 7, 0, 7, 0, 7, 7, 7, 7, 0, 7, 7], [7, 0, 0, 0, 0, 7, 7, 7, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0], [7, 7, 0, 7, 7, 7, 0, 7, 0, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 7], [7, 7, 7, 7, 0, 7, 7, 0, 7, 7, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0], [0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 7, 0, 7, 7, 7, 0, 0, 0, 0, 0], [7, 0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7, 0, 7, 0, 7], [7, 0, 0, 7, 7, 7, 0, 0, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 0, 0]] -> [[4, 0, 4, 0, 0, 0, 0, 4, 4, 0, 0, 4, 4, 0, 4, 0, 0, 4, 4, 4], [0, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 4, 4, 4, 0, 4, 0, 0, 0, 0], [4, 4, 4, 4, 0, 4, 4, 4, 0, 4, 4, 0, 4, 4, 4, 4, 0, 0, 4, 0], [4, 4, 4, 4, 0, 4, 0, 0, 4, 0, 4, 4, 0, 4, 0, 0, 0, 0, 4, 4], [0, 4, 4, 4, 4, 0, 4, 4, 0, 0, 4, 4, 4, 0, 0, 0, 4, 4, 0, 0], [4, 0, 0, 4, 0, 0, 4, 4, 4, 0, 4, 4, 0, 0, 4, 0, 4, 0, 0, 4], [4, 4, 0, 0, 4, 0, 0, 4, 0, 4, 4, 4, 4, 4, 4, 4, 4, 0, 4, 0], [4, 4, 4, 4, 0, 4, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0], [0, 4, 4, 0, 4, 4, 0, 4, 0, 0, 0, 4, 4, 4, 4, 0, 4, 0, 0, 4], [0, 4, 0, 0, 0, 0, 0, 4, 0, 4, 4, 0, 4, 0, 0, 4, 4, 0, 4, 0], [4, 0, 4, 4, 0, 0, 0, 4, 0, 4, 0, 0, 4, 4, 0, 4, 0, 0, 4, 4], [0, 4, 4, 0, 0, 4, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 4, 4, 4], [4, 4, 4, 4, 0, 4, 4, 0, 0, 0, 4, 0, 4, 4, 4, 4, 4, 0, 4, 0], [4, 4, 0, 4, 0, 4, 4, 4, 4, 0, 4, 0, 0, 4, 0, 4, 4, 4, 0, 0], [0, 4, 0, 4, 4, 4, 0, 0, 0, 4, 4, 4, 4, 0, 4, 4, 0, 4, 4, 0], [4, 0, 4, 0, 0, 4, 4, 4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 4, 4, 4], [4, 4, 4, 0, 0, 4, 0, 4, 4, 4, 4, 0, 0, 0, 0, 4, 0, 0, 4, 4], [4, 0, 4, 0, 4, 4, 4, 4, 4, 0, 0, 4, 0, 0, 4, 0, 4, 4, 4, 4], [0, 4, 0, 4, 0, 4, 4, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 4, 0], [0, 0, 4, 0, 0, 4, 0, 0, 4, 4, 0, 4, 4, 0, 4, 4, 4, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 6, 0, 0, 6, 6, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 6, 6], [6, 0, 6, 0, 6, 0, 6, 6, 6, 0, 0, 6, 0, 6, 0, 0, 6, 0, 6, 0], [0, 6, 0, 6, 0, 6, 6, 0, 6, 0, 0, 6, 6, 6, 0, 6, 6, 0, 6, 6], [6, 0, 6, 0, 6, 6, 6, 0, 6, 0, 0, 6, 0, 6, 0, 6, 6, 0, 6, 6], [0, 0, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 6, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6], [0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 6, 0, 6, 6, 6, 0], [6, 0, 0, 6, 6, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0], [6, 6, 0, 6, 0, 0, 6, 0, 6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 0, 6], [0, 6, 6, 0, 6, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6, 6, 6, 0, 0, 6], [0, 6, 0, 0, 0, 0, 0, 6, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6, 0, 0], [6, 0, 6, 6, 6, 0, 0, 0, 0, 6, 0, 6, 0, 6, 0, 0, 6, 0, 6, 0], [6, 6, 0, 0, 0, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 6, 0, 6], [6, 0, 6, 6, 0, 0, 6, 6, 0, 6, 6, 6, 0, 0, 6, 0, 0, 6, 6, 6], [6, 6, 0, 6, 6, 0, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0], [0, 6, 6, 6, 6, 0, 6, 0, 0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 0, 0], [0, 0, 0, 6, 0, 0, 6, 6, 0, 0, 6, 0, 0, 0, 6, 0, 6, 0, 6, 6], [6, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6, 0, 0, 6, 6, 6, 6], [6, 6, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6], [6, 0, 6, 6, 6, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            0,
+                            6,
+                            0,
+                            0,
+                            6,
+                            6,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0
+                        ],
+                        [
+                            0,
+                            6,
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+                        [
+                            4,
+                            0,
+                            4,
+                            0,
+                            4,
+                            4,
+                            0,
+                            0,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            4,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            0,
+                            4,
+                            4,
+                            0,
+                            0,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            4,
+                            0,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            0,
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            4,
+                            0,
+                            0
+                        ]
+                    ]
+                }
+            },
+            "Replicate 2": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 6, 0, 0, 6, 6, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 6, 6], [6, 0, 6, 0, 6, 0, 6, 6, 6, 0, 0, 6, 0, 6, 0, 0, 6, 0, 6, 0], [0, 6, 0, 6, 0, 6, 6, 0, 6, 0, 0, 6, 6, 6, 0, 6, 6, 0, 6, 6], [6, 0, 6, 0, 6, 6, 6, 0, 6, 0, 0, 6, 0, 6, 0, 6, 6, 0, 6, 6], [0, 0, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 6, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6], [0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 6, 0, 6, 6, 6, 0], [6, 0, 0, 6, 6, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0], [6, 6, 0, 6, 0, 0, 6, 0, 6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 0, 6], [0, 6, 6, 0, 6, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6, 6, 6, 0, 0, 6], [0, 6, 0, 0, 0, 0, 0, 6, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6, 0, 0], [6, 0, 6, 6, 6, 0, 0, 0, 0, 6, 0, 6, 0, 6, 0, 0, 6, 0, 6, 0], [6, 6, 0, 0, 0, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 6, 0, 6], [6, 0, 6, 6, 0, 0, 6, 6, 0, 6, 6, 6, 0, 0, 6, 0, 0, 6, 6, 6], [6, 6, 0, 6, 6, 0, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0], [0, 6, 6, 6, 6, 0, 6, 0, 0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 0, 0], [0, 0, 0, 6, 0, 0, 6, 6, 0, 0, 6, 0, 0, 0, 6, 0, 6, 0, 6, 6], [6, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6, 0, 0, 6, 6, 6, 6], [6, 6, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6], [6, 0, 6, 6, 6, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 0, 0], [7, 7, 7, 0, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 0, 0, 7, 0, 0, 0], [7, 7, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 7, 0, 0, 7, 7, 0, 7, 0], [7, 0, 7, 0, 0, 0, 0, 7, 7, 7, 7, 7, 0, 0, 7, 0, 7, 0, 0, 7], [0, 7, 0, 7, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 7, 0, 0, 0], [0, 7, 7, 7, 0, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 0], [7, 7, 7, 7, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 0, 7, 7, 0], [7, 7, 0, 7, 7, 0, 0, 0, 0, 7, 7, 0, 0, 7, 0, 7, 0, 7, 0, 0], [0, 7, 7, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0], [7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 7, 7, 7, 0, 0], [0, 0, 7, 0, 7, 0, 0, 0, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0, 7, 7], [7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 7, 7, 7], [7, 7, 0, 7, 7, 7, 0, 0, 0, 7, 7, 0, 7, 7, 0, 0, 7, 7, 0, 7], [0, 0, 7, 7, 0, 7, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 7, 7, 7, 7], [0, 7, 7, 0, 0, 7, 0, 0, 7, 7, 0, 7, 0, 7, 7, 7, 7, 0, 7, 7], [7, 0, 0, 0, 0, 7, 7, 7, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0], [7, 7, 0, 7, 7, 7, 0, 7, 0, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 7], [7, 7, 7, 7, 0, 7, 7, 0, 7, 7, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0], [0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 7, 0, 7, 7, 7, 0, 0, 0, 0, 0], [7, 0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7, 0, 7, 0, 7], [7, 0, 0, 7, 7, 7, 0, 0, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 0, 0]] -> [[4, 0, 4, 0, 0, 0, 0, 4, 4, 0, 0, 4, 4, 0, 4, 0, 0, 4, 4, 4], [0, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 4, 4, 4, 0, 4, 0, 0, 0, 0], [4, 4, 4, 4, 0, 4, 4, 4, 0, 4, 4, 0, 4, 4, 4, 4, 0, 0, 4, 0], [4, 4, 4, 4, 0, 4, 0, 0, 4, 0, 4, 4, 0, 4, 0, 0, 0, 0, 4, 4], [0, 4, 4, 4, 4, 0, 4, 4, 0, 0, 4, 4, 4, 0, 0, 0, 4, 4, 0, 0], [4, 0, 0, 4, 0, 0, 4, 4, 4, 0, 4, 4, 0, 0, 4, 0, 4, 0, 0, 4], [4, 4, 0, 0, 4, 0, 0, 4, 0, 4, 4, 4, 4, 4, 4, 4, 4, 0, 4, 0], [4, 4, 4, 4, 0, 4, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0], [0, 4, 4, 0, 4, 4, 0, 4, 0, 0, 0, 4, 4, 4, 4, 0, 4, 0, 0, 4], [0, 4, 0, 0, 0, 0, 0, 4, 0, 4, 4, 0, 4, 0, 0, 4, 4, 0, 4, 0], [4, 0, 4, 4, 0, 0, 0, 4, 0, 4, 0, 0, 4, 4, 0, 4, 0, 0, 4, 4], [0, 4, 4, 0, 0, 4, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 4, 4, 4], [4, 4, 4, 4, 0, 4, 4, 0, 0, 0, 4, 0, 4, 4, 4, 4, 4, 0, 4, 0], [4, 4, 0, 4, 0, 4, 4, 4, 4, 0, 4, 0, 0, 4, 0, 4, 4, 4, 0, 0], [0, 4, 0, 4, 4, 4, 0, 0, 0, 4, 4, 4, 4, 0, 4, 4, 0, 4, 4, 0], [4, 0, 4, 0, 0, 4, 4, 4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 4, 4, 4], [4, 4, 4, 0, 0, 4, 0, 4, 4, 4, 4, 0, 0, 0, 0, 4, 0, 0, 4, 4], [4, 0, 4, 0, 4, 4, 4, 4, 4, 0, 0, 4, 0, 0, 4, 0, 4, 4, 4, 4], [0, 4, 0, 4, 0, 4, 4, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 4, 0], [0, 0, 4, 0, 0, 4, 0, 0, 4, 4, 0, 4, 4, 0, 4, 4, 4, 0, 0, 0]]\nExample input-output arrays:\n[[6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 0, 0, 6, 6, 6, 0, 0], [6, 0, 6, 6, 0, 6, 0, 6, 6, 0, 6, 0, 6, 0, 6, 0, 6, 6, 0, 0], [0, 6, 0, 6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 6, 0, 6, 6, 0, 0, 0], [0, 0, 6, 6, 6, 0, 6, 6, 6, 6, 0, 6, 6, 0, 0, 6, 0, 0, 0, 6], [0, 0, 6, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0, 6, 6, 0, 6], [6, 6, 6, 6, 6, 6, 0, 0, 0, 6, 0, 6, 0, 0, 0, 6, 6, 0, 0, 6], [0, 0, 6, 6, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 6, 6], [6, 6, 0, 6, 6, 0, 6, 6, 0, 0, 0, 0, 6, 6, 0, 6, 0, 0, 0, 0], [6, 6, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 0, 6, 6, 6, 6, 0, 0, 0], [6, 6, 0, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 0, 6], [6, 0, 6, 6, 6, 0, 0, 0, 6, 6, 6, 6, 6, 0, 6, 0, 0, 0, 6, 6], [0, 6, 6, 0, 6, 0, 6, 0, 0, 6, 0, 6, 0, 0, 6, 0, 6, 6, 0, 6], [0, 6, 0, 6, 0, 6, 0, 0, 0, 6, 6, 6, 0, 0, 6, 0, 0, 0, 0, 0], [0, 6, 0, 0, 6, 6, 6, 6, 6, 6, 0, 0, 6, 0, 0, 0, 0, 0, 0, 6], [0, 6, 6, 0, 6, 0, 6, 0, 0, 6, 6, 6, 6, 6, 6, 0, 0, 0, 6, 0], [6, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 0], [6, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0], [0, 0, 0, 6, 0, 0, 6, 6, 6, 6, 0, 6, 6, 0, 6, 6, 0, 6, 0, 0], [6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 6], [6, 0, 6, 6, 6, 6, 0, 6, 0, 0, 6, 6, 6, 0, 0, 6, 6, 6, 0, 0], [0, 0, 0, 7, 7, 0, 0, 7, 7, 7, 7, 0, 7, 0, 7, 0, 0, 0, 7, 0], [0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 7, 0], [7, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 7, 0, 0, 0], [7, 0, 7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7], [7, 7, 7, 7, 7, 0, 0, 0, 0, 7, 7, 0, 7, 7, 7, 0, 0, 0, 0, 0], [7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 0, 7, 0, 0, 0, 0, 7, 0], [7, 0, 0, 0, 0, 7, 0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 0, 7, 0, 7], [7, 7, 0, 0, 7, 0, 7, 0, 0, 7, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0], [7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 7, 7, 7, 0, 0, 7], [7, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7, 7, 0, 0, 0, 7, 0], [0, 0, 0, 0, 0, 7, 0, 7, 7, 7, 7, 0, 7, 0, 0, 7, 0, 0, 0, 7], [0, 0, 0, 0, 7, 7, 0, 7, 0, 0, 7, 7, 0, 7, 7, 7, 7, 0, 0, 0], [7, 0, 7, 7, 0, 0, 7, 0, 7, 0, 7, 7, 0, 0, 0, 0, 0, 7, 0, 0], [7, 0, 0, 0, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7], [0, 0, 7, 0, 7, 7, 0, 7, 7, 7, 0, 0, 0, 0, 7, 7, 0, 0, 7, 0], [7, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 7, 0, 7, 0, 7], [0, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7, 0, 0], [7, 7, 0, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7], [7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 0, 7, 7, 7, 7, 7, 0, 7, 7, 0], [0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 0, 7, 7, 0, 7, 7]] -> [[4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 4, 4, 4, 4, 4, 0], [4, 0, 4, 0, 0, 4, 0, 4, 4, 0, 4, 0, 4, 4, 4, 0, 4, 0, 4, 0], [4, 0, 0, 0, 4, 4, 4, 4, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, 0, 0, 4, 0, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0], [4, 4, 0, 4, 4, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 0, 4, 4, 0, 4], [0, 0, 0, 0, 0, 0, 4, 0, 4, 0, 4, 0, 0, 4, 0, 4, 4, 0, 4, 4], [4, 0, 4, 4, 0, 4, 0, 4, 4, 0, 4, 0, 4, 0, 0, 4, 4, 4, 4, 0], [0, 0, 0, 4, 0, 0, 0, 4, 0, 4, 4, 0, 0, 4, 0, 4, 0, 0, 0, 0], [0, 0, 4, 4, 0, 4, 0, 0, 4, 4, 0, 4, 4, 4, 0, 0, 0, 0, 0, 4], [0, 4, 0, 0, 4, 4, 0, 4, 0, 4, 4, 4, 4, 0, 4, 4, 4, 0, 4, 4], [4, 0, 4, 4, 4, 4, 0, 4, 0, 0, 0, 4, 0, 0, 4, 4, 0, 0, 4, 0], [0, 4, 4, 0, 0, 4, 4, 4, 0, 4, 4, 0, 0, 4, 0, 4, 0, 4, 0, 4], [4, 4, 4, 0, 0, 4, 4, 0, 4, 4, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0], [4, 4, 0, 0, 4, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0], [0, 4, 0, 0, 0, 4, 4, 4, 4, 0, 4, 4, 4, 4, 0, 4, 0, 0, 0, 0], [0, 4, 0, 0, 4, 4, 4, 0, 4, 4, 4, 4, 0, 4, 4, 4, 0, 0, 4, 4], [4, 0, 4, 4, 4, 0, 0, 0, 0, 4, 4, 4, 0, 4, 4, 0, 0, 4, 0, 0], [4, 4, 0, 4, 4, 4, 4, 0, 0, 4, 4, 0, 4, 4, 4, 0, 0, 0, 4, 4], [0, 4, 4, 0, 0, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 4, 4, 4, 0, 4], [4, 0, 0, 0, 4, 4, 0, 4, 0, 0, 0, 4, 4, 4, 0, 0, 0, 4, 4, 4]]\nExample input-output arrays:\n[[0, 6, 0, 0, 6, 6, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 6, 6], [6, 0, 6, 0, 6, 0, 6, 6, 6, 0, 0, 6, 0, 6, 0, 0, 6, 0, 6, 0], [0, 6, 0, 6, 0, 6, 6, 0, 6, 0, 0, 6, 6, 6, 0, 6, 6, 0, 6, 6], [6, 0, 6, 0, 6, 6, 6, 0, 6, 0, 0, 6, 0, 6, 0, 6, 6, 0, 6, 6], [0, 0, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 6, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6], [0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 6, 0, 6, 6, 6, 0], [6, 0, 0, 6, 6, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0], [6, 6, 0, 6, 0, 0, 6, 0, 6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 0, 6], [0, 6, 6, 0, 6, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6, 6, 6, 0, 0, 6], [0, 6, 0, 0, 0, 0, 0, 6, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6, 0, 0], [6, 0, 6, 6, 6, 0, 0, 0, 0, 6, 0, 6, 0, 6, 0, 0, 6, 0, 6, 0], [6, 6, 0, 0, 0, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 6, 0, 6], [6, 0, 6, 6, 0, 0, 6, 6, 0, 6, 6, 6, 0, 0, 6, 0, 0, 6, 6, 6], [6, 6, 0, 6, 6, 0, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0], [0, 6, 6, 6, 6, 0, 6, 0, 0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 0, 0], [0, 0, 0, 6, 0, 0, 6, 6, 0, 0, 6, 0, 0, 0, 6, 0, 6, 0, 6, 6], [6, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6, 0, 0, 6, 6, 6, 6], [6, 6, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6], [6, 0, 6, 6, 6, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 0, 0], [7, 7, 7, 0, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 0, 0, 7, 0, 0, 0], [7, 7, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 7, 0, 0, 7, 7, 0, 7, 0], [7, 0, 7, 0, 0, 0, 0, 7, 7, 7, 7, 7, 0, 0, 7, 0, 7, 0, 0, 7], [0, 7, 0, 7, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 7, 0, 0, 0], [0, 7, 7, 7, 0, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 0], [7, 7, 7, 7, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 0, 7, 7, 0], [7, 7, 0, 7, 7, 0, 0, 0, 0, 7, 7, 0, 0, 7, 0, 7, 0, 7, 0, 0], [0, 7, 7, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0], [7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 7, 7, 7, 0, 0], [0, 0, 7, 0, 7, 0, 0, 0, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0, 7, 7], [7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 7, 7, 7], [7, 7, 0, 7, 7, 7, 0, 0, 0, 7, 7, 0, 7, 7, 0, 0, 7, 7, 0, 7], [0, 0, 7, 7, 0, 7, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 7, 7, 7, 7], [0, 7, 7, 0, 0, 7, 0, 0, 7, 7, 0, 7, 0, 7, 7, 7, 7, 0, 7, 7], [7, 0, 0, 0, 0, 7, 7, 7, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0], [7, 7, 0, 7, 7, 7, 0, 7, 0, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 7], [7, 7, 7, 7, 0, 7, 7, 0, 7, 7, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0], [0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 7, 0, 7, 7, 7, 0, 0, 0, 0, 0], [7, 0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7, 0, 7, 0, 7], [7, 0, 0, 7, 7, 7, 0, 0, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 0, 0]] -> [[4, 0, 4, 0, 0, 0, 0, 4, 4, 0, 0, 4, 4, 0, 4, 0, 0, 4, 4, 4], [0, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 4, 4, 4, 0, 4, 0, 0, 0, 0], [4, 4, 4, 4, 0, 4, 4, 4, 0, 4, 4, 0, 4, 4, 4, 4, 0, 0, 4, 0], [4, 4, 4, 4, 0, 4, 0, 0, 4, 0, 4, 4, 0, 4, 0, 0, 0, 0, 4, 4], [0, 4, 4, 4, 4, 0, 4, 4, 0, 0, 4, 4, 4, 0, 0, 0, 4, 4, 0, 0], [4, 0, 0, 4, 0, 0, 4, 4, 4, 0, 4, 4, 0, 0, 4, 0, 4, 0, 0, 4], [4, 4, 0, 0, 4, 0, 0, 4, 0, 4, 4, 4, 4, 4, 4, 4, 4, 0, 4, 0], [4, 4, 4, 4, 0, 4, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0], [0, 4, 4, 0, 4, 4, 0, 4, 0, 0, 0, 4, 4, 4, 4, 0, 4, 0, 0, 4], [0, 4, 0, 0, 0, 0, 0, 4, 0, 4, 4, 0, 4, 0, 0, 4, 4, 0, 4, 0], [4, 0, 4, 4, 0, 0, 0, 4, 0, 4, 0, 0, 4, 4, 0, 4, 0, 0, 4, 4], [0, 4, 4, 0, 0, 4, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 4, 4, 4], [4, 4, 4, 4, 0, 4, 4, 0, 0, 0, 4, 0, 4, 4, 4, 4, 4, 0, 4, 0], [4, 4, 0, 4, 0, 4, 4, 4, 4, 0, 4, 0, 0, 4, 0, 4, 4, 4, 0, 0], [0, 4, 0, 4, 4, 4, 0, 0, 0, 4, 4, 4, 4, 0, 4, 4, 0, 4, 4, 0], [4, 0, 4, 0, 0, 4, 4, 4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 4, 4, 4], [4, 4, 4, 0, 0, 4, 0, 4, 4, 4, 4, 0, 0, 0, 0, 4, 0, 0, 4, 4], [4, 0, 4, 0, 4, 4, 4, 4, 4, 0, 0, 4, 0, 0, 4, 0, 4, 4, 4, 4], [0, 4, 0, 4, 0, 4, 4, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 4, 0], [0, 0, 4, 0, 0, 4, 0, 0, 4, 4, 0, 4, 4, 0, 4, 4, 4, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 6, 0, 0, 6, 6, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 6, 6], [6, 0, 6, 0, 6, 0, 6, 6, 6, 0, 0, 6, 0, 6, 0, 0, 6, 0, 6, 0], [0, 6, 0, 6, 0, 6, 6, 0, 6, 0, 0, 6, 6, 6, 0, 6, 6, 0, 6, 6], [6, 0, 6, 0, 6, 6, 6, 0, 6, 0, 0, 6, 0, 6, 0, 6, 6, 0, 6, 6], [0, 0, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 6, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6], [0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 6, 0, 6, 6, 6, 0], [6, 0, 0, 6, 6, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0], [6, 6, 0, 6, 0, 0, 6, 0, 6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 0, 6], [0, 6, 6, 0, 6, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6, 6, 6, 0, 0, 6], [0, 6, 0, 0, 0, 0, 0, 6, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6, 0, 0], [6, 0, 6, 6, 6, 0, 0, 0, 0, 6, 0, 6, 0, 6, 0, 0, 6, 0, 6, 0], [6, 6, 0, 0, 0, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 6, 0, 6], [6, 0, 6, 6, 0, 0, 6, 6, 0, 6, 6, 6, 0, 0, 6, 0, 0, 6, 6, 6], [6, 6, 0, 6, 6, 0, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0], [0, 6, 6, 6, 6, 0, 6, 0, 0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 0, 0], [0, 0, 0, 6, 0, 0, 6, 6, 0, 0, 6, 0, 0, 0, 6, 0, 6, 0, 6, 6], [6, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6, 0, 0, 6, 6, 6, 6], [6, 6, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6], [6, 0, 6, 6, 6, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 0, 0], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7]] -> ",
+                "test": {
+                    "input": [
+                        [
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+            "Replicate 3": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 6, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 6, 0, 6, 6, 6, 6, 6, 0], [6, 0, 6, 0, 0, 0, 6, 6, 6, 6, 6, 0, 0, 0, 6, 6, 6, 6, 0, 0], [6, 6, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6, 6, 6, 0, 0, 0, 6, 0, 6], [6, 6, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 6, 0, 6, 6], [0, 0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 6, 6, 6, 0, 0, 0, 6, 6, 0], [6, 6, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 6, 6, 6, 0, 0, 6, 6, 0], [0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6, 6, 6, 0, 6, 6], [6, 6, 0, 0, 0, 6, 0, 0, 6, 6, 0, 0, 6, 0, 6, 6, 0, 0, 6, 6], [6, 6, 0, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6], [0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6], [0, 0, 6, 0, 6, 6, 6, 6, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 6], [6, 0, 0, 0, 6, 6, 6, 0, 6, 0, 6, 0, 6, 0, 0, 6, 6, 6, 6, 0], [0, 0, 0, 6, 0, 6, 0, 6, 0, 0, 0, 6, 6, 6, 0, 0, 0, 6, 0, 6], [0, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 0, 0, 6], [6, 6, 0, 0, 6, 6, 6, 6, 0, 6, 6, 0, 6, 0, 6, 6, 6, 0, 6, 0], [0, 0, 0, 0, 0, 0, 6, 0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 0, 0, 6], [6, 6, 6, 0, 6, 0, 0, 6, 6, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0], [0, 6, 0, 0, 0, 6, 0, 0, 0, 0, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6], [6, 0, 6, 0, 6, 6, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 0, 6, 0], [6, 0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 0, 0, 0, 6, 0], [0, 7, 0, 7, 7, 0, 7, 0, 0, 0, 7, 7, 7, 0, 7, 7, 7, 0, 7, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0], [0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7, 7, 7, 0, 0, 0, 7, 7, 7, 7], [7, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7, 7, 0, 0, 7, 7, 0], [7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 7, 0, 0], [7, 0, 7, 7, 7, 7, 0, 7, 0, 0, 7, 0, 7, 7, 0, 0, 7, 7, 7, 7], [7, 7, 0, 0, 0, 7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0], [7, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 7, 7, 7, 7, 0, 7, 7, 0, 0], [7, 7, 0, 7, 7, 0, 7, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 0], [7, 0, 0, 7, 7, 0, 7, 0, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7, 0, 7], [0, 7, 7, 7, 7, 0, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 0, 7, 7, 0], [7, 7, 0, 7, 7, 7, 7, 7, 0, 0, 7, 7, 0, 0, 7, 0, 7, 0, 7, 7], [0, 7, 0, 0, 0, 0, 7, 7, 7, 0, 7, 7, 7, 7, 0, 0, 0, 7, 0, 0], [7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7], [0, 0, 7, 0, 7, 7, 0, 7, 7, 7, 0, 7, 0, 0, 0, 7, 7, 7, 0, 0], [0, 7, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 0, 0], [7, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 0, 7, 7], [0, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7, 0, 0, 0, 7, 7, 0, 7, 7], [7, 7, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 0, 7, 0, 7, 7, 0, 0]] -> [[0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 4, 0, 0], [4, 0, 4, 0, 0, 0, 4, 4, 4, 4, 0, 0, 0, 0, 4, 0, 4, 4, 0, 0], [4, 0, 0, 0, 4, 0, 0, 0, 0, 4, 4, 0, 0, 4, 0, 0, 4, 0, 4, 0], [0, 0, 4, 0, 0, 4, 0, 4, 4, 4, 4, 4, 4, 0, 0, 0, 4, 4, 0, 4], [4, 0, 0, 4, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 0, 4, 0, 0, 4, 0], [0, 4, 4, 0, 4, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 4, 0, 0, 4], [4, 0, 4, 4, 0, 4, 0, 0, 4, 0, 4, 4, 0, 4, 0, 0, 0, 4, 0, 4], [0, 4, 0, 0, 4, 4, 4, 4, 0, 4, 0, 4, 0, 4, 0, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 4, 4, 4, 0, 4, 0, 0, 4, 0, 0, 0, 0, 4, 4, 4], [0, 0, 4, 4, 0, 4, 4, 0, 4, 0, 0, 0, 4, 4, 0, 4, 0, 4, 4, 4], [4, 0, 4, 4, 0, 4, 0, 4, 4, 4, 4, 0, 4, 0, 4, 0, 4, 4, 0, 0], [4, 4, 4, 4, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0], [4, 4, 0, 0, 4, 0, 4, 0, 0, 0, 4, 0, 4, 4, 4, 0, 4, 4, 4, 0], [0, 0, 0, 4, 4, 4, 0, 4, 4, 4, 4, 0, 0, 0, 4, 4, 4, 4, 0, 4], [0, 4, 4, 0, 4, 4, 0, 4, 0, 4, 4, 4, 4, 4, 4, 0, 0, 4, 0, 4], [0, 0, 4, 0, 4, 4, 4, 4, 4, 0, 0, 0, 4, 4, 4, 0, 0, 4, 0, 4], [4, 0, 4, 0, 0, 4, 4, 4, 4, 4, 4, 4, 0, 4, 4, 4, 4, 0, 0, 0], [4, 0, 4, 0, 0, 4, 4, 0, 0, 0, 0, 4, 0, 4, 0, 0, 0, 4, 0, 0], [4, 0, 0, 0, 0, 4, 4, 4, 0, 4, 0, 0, 4, 4, 4, 0, 0, 0, 0, 4], [0, 4, 0, 0, 0, 4, 4, 0, 4, 4, 4, 4, 4, 4, 4, 0, 4, 4, 4, 0]]\nExample input-output arrays:\n[[6, 6, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 6, 6, 0, 6, 6], [0, 6, 6, 6, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0], [6, 6, 0, 0, 6, 0, 0, 6, 6, 6, 0, 6, 0, 0, 0, 6, 6, 6, 0, 0], [0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6], [6, 0, 6, 6, 6, 0, 6, 0, 0, 0, 6, 0, 0, 0, 6, 6, 6, 6, 0, 6], [0, 6, 6, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 6, 0, 6, 6, 6, 6], [6, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 6, 6, 6, 6, 6, 6, 0], [0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 0, 0, 6, 6], [0, 0, 6, 0, 0, 6, 6, 6, 0, 6, 0, 0, 6, 6, 0, 6, 6, 6, 6, 0], [0, 0, 6, 0, 6, 0, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 6, 0, 6, 0, 0, 0, 0, 6], [0, 0, 6, 0, 0, 6, 0, 6, 6, 0, 6, 0, 0, 6, 6, 6, 6, 0, 0, 6], [0, 6, 0, 6, 0, 6, 6, 0, 6, 0, 6, 0, 6, 0, 6, 6, 6, 6, 0, 0], [0, 6, 6, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0], [0, 6, 0, 0, 6, 6, 0, 6, 0, 0, 6, 0, 0, 6, 6, 0, 0, 0, 0, 6], [0, 6, 0, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 6, 0, 0, 0, 6, 6, 6], [6, 6, 0, 6, 6, 0, 6, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6], [0, 0, 6, 0, 0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 6, 0, 0], [0, 0, 6, 6, 6, 6, 6, 0, 6, 0, 6, 6, 6, 6, 0, 6, 0, 0, 6, 6], [6, 6, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6], [0, 0, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7], [7, 0, 0, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7, 0, 0, 7, 0, 7], [0, 0, 0, 7, 7, 0, 7, 0, 7, 7, 0, 7, 0, 0, 7, 7, 7, 7, 0, 0], [7, 0, 0, 7, 0, 7, 7, 0, 0, 7, 0, 0, 7, 0, 7, 7, 7, 7, 0, 0], [7, 0, 7, 7, 7, 7, 0, 7, 0, 0, 7, 7, 0, 0, 0, 7, 7, 0, 0, 0], [0, 0, 7, 7, 0, 7, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 0, 0, 0, 7], [7, 7, 0, 0, 7, 0, 0, 7, 7, 0, 7, 0, 7, 7, 0, 0, 7, 7, 7, 7], [0, 7, 7, 7, 7, 0, 7, 0, 0, 7, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0], [0, 7, 0, 7, 0, 0, 0, 0, 7, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7], [0, 7, 7, 0, 0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0], [7, 0, 7, 7, 0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0], [0, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 7, 0, 7, 0, 7, 7, 0, 7, 7], [0, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0, 7], [7, 7, 7, 7, 7, 7, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0], [7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 7, 0, 7, 0, 7, 7], [0, 0, 0, 7, 0, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7], [7, 7, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 7, 0, 7], [0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 7], [0, 0, 7, 0, 7, 7, 0, 7, 0, 7, 7, 7, 7, 0, 7, 7, 0, 0, 0, 7], [7, 7, 0, 0, 7, 0, 7, 7, 0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 7, 7]] -> [[4, 4, 0, 4, 4, 0, 4, 4, 0, 4, 4, 4, 0, 4, 0, 0, 0, 0, 0, 0], [4, 4, 4, 4, 4, 0, 4, 4, 4, 4, 4, 0, 4, 4, 4, 0, 0, 0, 0, 4], [4, 4, 0, 4, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0], [4, 4, 4, 4, 0, 0, 0, 0, 4, 4, 0, 4, 0, 4, 4, 0, 0, 0, 0, 4], [0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 4], [0, 4, 0, 0, 0, 4, 4, 0, 0, 4, 4, 4, 0, 4, 0, 4, 4, 4, 4, 0], [0, 4, 0, 0, 4, 0, 0, 0, 4, 4, 4, 0, 4, 0, 4, 4, 0, 0, 0, 4], [0, 4, 0, 4, 4, 0, 4, 0, 0, 4, 4, 4, 4, 0, 0, 0, 0, 0, 4, 4], [0, 4, 4, 4, 0, 4, 4, 4, 4, 0, 0, 4, 4, 4, 0, 4, 4, 4, 4, 4], [0, 4, 0, 0, 4, 4, 4, 0, 0, 4, 4, 0, 0, 4, 4, 0, 4, 4, 4, 4], [0, 4, 0, 0, 4, 0, 0, 4, 4, 0, 0, 0, 4, 0, 4, 0, 0, 4, 4, 4], [0, 4, 0, 0, 0, 4, 4, 4, 0, 0, 4, 4, 0, 0, 4, 0, 0, 0, 4, 0], [0, 4, 4, 4, 4, 4, 0, 4, 0, 4, 0, 0, 4, 0, 4, 4, 0, 0, 0, 4], [4, 0, 0, 0, 4, 0, 0, 4, 0, 4, 4, 0, 4, 4, 0, 0, 4, 0, 4, 0], [4, 0, 4, 4, 4, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 4, 0], [0, 4, 0, 0, 4, 4, 4, 4, 0, 4, 4, 4, 4, 0, 4, 4, 0, 0, 0, 0], [0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 4, 0, 4, 4, 4, 0], [0, 4, 4, 0, 0, 0, 4, 4, 0, 4, 0, 4, 0, 4, 4, 4, 4, 4, 0, 4], [0, 0, 0, 4, 0, 0, 4, 4, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 4, 0], [0, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0, 0, 0, 0, 4, 0, 4, 4, 0, 0]]\nExample input-output arrays:\n[[0, 6, 0, 0, 6, 6, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 6, 6], [6, 0, 6, 0, 6, 0, 6, 6, 6, 0, 0, 6, 0, 6, 0, 0, 6, 0, 6, 0], [0, 6, 0, 6, 0, 6, 6, 0, 6, 0, 0, 6, 6, 6, 0, 6, 6, 0, 6, 6], [6, 0, 6, 0, 6, 6, 6, 0, 6, 0, 0, 6, 0, 6, 0, 6, 6, 0, 6, 6], [0, 0, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 6, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6], [0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 6, 0, 6, 6, 6, 0], [6, 0, 0, 6, 6, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0], [6, 6, 0, 6, 0, 0, 6, 0, 6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 0, 6], [0, 6, 6, 0, 6, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6, 6, 6, 0, 0, 6], [0, 6, 0, 0, 0, 0, 0, 6, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6, 0, 0], [6, 0, 6, 6, 6, 0, 0, 0, 0, 6, 0, 6, 0, 6, 0, 0, 6, 0, 6, 0], [6, 6, 0, 0, 0, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 6, 0, 6], [6, 0, 6, 6, 0, 0, 6, 6, 0, 6, 6, 6, 0, 0, 6, 0, 0, 6, 6, 6], [6, 6, 0, 6, 6, 0, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0], [0, 6, 6, 6, 6, 0, 6, 0, 0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 0, 0], [0, 0, 0, 6, 0, 0, 6, 6, 0, 0, 6, 0, 0, 0, 6, 0, 6, 0, 6, 6], [6, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6, 0, 0, 6, 6, 6, 6], [6, 6, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6], [6, 0, 6, 6, 6, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 0, 0], [7, 7, 7, 0, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 0, 0, 7, 0, 0, 0], [7, 7, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 7, 0, 0, 7, 7, 0, 7, 0], [7, 0, 7, 0, 0, 0, 0, 7, 7, 7, 7, 7, 0, 0, 7, 0, 7, 0, 0, 7], [0, 7, 0, 7, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 7, 0, 0, 0], [0, 7, 7, 7, 0, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 0], [7, 7, 7, 7, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 0, 7, 7, 0], [7, 7, 0, 7, 7, 0, 0, 0, 0, 7, 7, 0, 0, 7, 0, 7, 0, 7, 0, 0], [0, 7, 7, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0], [7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 7, 7, 7, 0, 0], [0, 0, 7, 0, 7, 0, 0, 0, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0, 7, 7], [7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 7, 7, 7], [7, 7, 0, 7, 7, 7, 0, 0, 0, 7, 7, 0, 7, 7, 0, 0, 7, 7, 0, 7], [0, 0, 7, 7, 0, 7, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 7, 7, 7, 7], [0, 7, 7, 0, 0, 7, 0, 0, 7, 7, 0, 7, 0, 7, 7, 7, 7, 0, 7, 7], [7, 0, 0, 0, 0, 7, 7, 7, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0], [7, 7, 0, 7, 7, 7, 0, 7, 0, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 7], [7, 7, 7, 7, 0, 7, 7, 0, 7, 7, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0], [0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 7, 0, 7, 7, 7, 0, 0, 0, 0, 0], [7, 0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7, 0, 7, 0, 7], [7, 0, 0, 7, 7, 7, 0, 0, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 0, 0]] -> [[4, 0, 4, 0, 0, 0, 0, 4, 4, 0, 0, 4, 4, 0, 4, 0, 0, 4, 4, 4], [0, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 4, 4, 4, 0, 4, 0, 0, 0, 0], [4, 4, 4, 4, 0, 4, 4, 4, 0, 4, 4, 0, 4, 4, 4, 4, 0, 0, 4, 0], [4, 4, 4, 4, 0, 4, 0, 0, 4, 0, 4, 4, 0, 4, 0, 0, 0, 0, 4, 4], [0, 4, 4, 4, 4, 0, 4, 4, 0, 0, 4, 4, 4, 0, 0, 0, 4, 4, 0, 0], [4, 0, 0, 4, 0, 0, 4, 4, 4, 0, 4, 4, 0, 0, 4, 0, 4, 0, 0, 4], [4, 4, 0, 0, 4, 0, 0, 4, 0, 4, 4, 4, 4, 4, 4, 4, 4, 0, 4, 0], [4, 4, 4, 4, 0, 4, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0], [0, 4, 4, 0, 4, 4, 0, 4, 0, 0, 0, 4, 4, 4, 4, 0, 4, 0, 0, 4], [0, 4, 0, 0, 0, 0, 0, 4, 0, 4, 4, 0, 4, 0, 0, 4, 4, 0, 4, 0], [4, 0, 4, 4, 0, 0, 0, 4, 0, 4, 0, 0, 4, 4, 0, 4, 0, 0, 4, 4], [0, 4, 4, 0, 0, 4, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 4, 4, 4], [4, 4, 4, 4, 0, 4, 4, 0, 0, 0, 4, 0, 4, 4, 4, 4, 4, 0, 4, 0], [4, 4, 0, 4, 0, 4, 4, 4, 4, 0, 4, 0, 0, 4, 0, 4, 4, 4, 0, 0], [0, 4, 0, 4, 4, 4, 0, 0, 0, 4, 4, 4, 4, 0, 4, 4, 0, 4, 4, 0], [4, 0, 4, 0, 0, 4, 4, 4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 4, 4, 4], [4, 4, 4, 0, 0, 4, 0, 4, 4, 4, 4, 0, 0, 0, 0, 4, 0, 0, 4, 4], [4, 0, 4, 0, 4, 4, 4, 4, 4, 0, 0, 4, 0, 0, 4, 0, 4, 4, 4, 4], [0, 4, 0, 4, 0, 4, 4, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 4, 0], [0, 0, 4, 0, 0, 4, 0, 0, 4, 4, 0, 4, 4, 0, 4, 4, 4, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [7, 7, 7, 0, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 0, 0, 7, 0, 0, 0], [7, 7, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 7, 0, 0, 7, 7, 0, 7, 0], [7, 0, 7, 0, 0, 0, 0, 7, 7, 7, 7, 7, 0, 0, 7, 0, 7, 0, 0, 7], [0, 7, 0, 7, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 7, 0, 0, 0], [0, 7, 7, 7, 0, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 0], [7, 7, 7, 7, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 0, 7, 7, 0], [7, 7, 0, 7, 7, 0, 0, 0, 0, 7, 7, 0, 0, 7, 0, 7, 0, 7, 0, 0], [0, 7, 7, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0], [7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 7, 7, 7, 0, 0], [0, 0, 7, 0, 7, 0, 0, 0, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0, 7, 7], [7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 7, 7, 7], [7, 7, 0, 7, 7, 7, 0, 0, 0, 7, 7, 0, 7, 7, 0, 0, 7, 7, 0, 7], [0, 0, 7, 7, 0, 7, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 7, 7, 7, 7], [0, 7, 7, 0, 0, 7, 0, 0, 7, 7, 0, 7, 0, 7, 7, 7, 7, 0, 7, 7], [7, 0, 0, 0, 0, 7, 7, 7, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0], [7, 7, 0, 7, 7, 7, 0, 7, 0, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 7], [7, 7, 7, 7, 0, 7, 7, 0, 7, 7, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0], [0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 7, 0, 7, 7, 7, 0, 0, 0, 0, 0], [7, 0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7, 0, 7, 0, 7], [7, 0, 0, 7, 7, 7, 0, 0, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            6,
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+                        ],
+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                    ]
+                }
+            },
+            "Replicate 4": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 6, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 6, 0, 6, 6, 6, 6, 6, 0], [6, 0, 6, 0, 0, 0, 6, 6, 6, 6, 6, 0, 0, 0, 6, 6, 6, 6, 0, 0], [6, 6, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6, 6, 6, 0, 0, 0, 6, 0, 6], [6, 6, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 6, 0, 6, 6], [0, 0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 6, 6, 6, 0, 0, 0, 6, 6, 0], [6, 6, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 6, 6, 6, 0, 0, 6, 6, 0], [0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6, 6, 6, 0, 6, 6], [6, 6, 0, 0, 0, 6, 0, 0, 6, 6, 0, 0, 6, 0, 6, 6, 0, 0, 6, 6], [6, 6, 0, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6], [0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6], [0, 0, 6, 0, 6, 6, 6, 6, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 6], [6, 0, 0, 0, 6, 6, 6, 0, 6, 0, 6, 0, 6, 0, 0, 6, 6, 6, 6, 0], [0, 0, 0, 6, 0, 6, 0, 6, 0, 0, 0, 6, 6, 6, 0, 0, 0, 6, 0, 6], [0, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 0, 0, 6], [6, 6, 0, 0, 6, 6, 6, 6, 0, 6, 6, 0, 6, 0, 6, 6, 6, 0, 6, 0], [0, 0, 0, 0, 0, 0, 6, 0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 0, 0, 6], [6, 6, 6, 0, 6, 0, 0, 6, 6, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0], [0, 6, 0, 0, 0, 6, 0, 0, 0, 0, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6], [6, 0, 6, 0, 6, 6, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 0, 6, 0], [6, 0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 0, 0, 0, 6, 0], [0, 7, 0, 7, 7, 0, 7, 0, 0, 0, 7, 7, 7, 0, 7, 7, 7, 0, 7, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0], [0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7, 7, 7, 0, 0, 0, 7, 7, 7, 7], [7, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7, 7, 0, 0, 7, 7, 0], [7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 7, 0, 0], [7, 0, 7, 7, 7, 7, 0, 7, 0, 0, 7, 0, 7, 7, 0, 0, 7, 7, 7, 7], [7, 7, 0, 0, 0, 7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0], [7, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 7, 7, 7, 7, 0, 7, 7, 0, 0], [7, 7, 0, 7, 7, 0, 7, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 0], [7, 0, 0, 7, 7, 0, 7, 0, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7, 0, 7], [0, 7, 7, 7, 7, 0, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 0, 7, 7, 0], [7, 7, 0, 7, 7, 7, 7, 7, 0, 0, 7, 7, 0, 0, 7, 0, 7, 0, 7, 7], [0, 7, 0, 0, 0, 0, 7, 7, 7, 0, 7, 7, 7, 7, 0, 0, 0, 7, 0, 0], [7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7], [0, 0, 7, 0, 7, 7, 0, 7, 7, 7, 0, 7, 0, 0, 0, 7, 7, 7, 0, 0], [0, 7, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 0, 0], [7, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 0, 7, 7], [0, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7, 0, 0, 0, 7, 7, 0, 7, 7], [7, 7, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 0, 7, 0, 7, 7, 0, 0]] -> [[0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 4, 0, 0], [4, 0, 4, 0, 0, 0, 4, 4, 4, 4, 0, 0, 0, 0, 4, 0, 4, 4, 0, 0], [4, 0, 0, 0, 4, 0, 0, 0, 0, 4, 4, 0, 0, 4, 0, 0, 4, 0, 4, 0], [0, 0, 4, 0, 0, 4, 0, 4, 4, 4, 4, 4, 4, 0, 0, 0, 4, 4, 0, 4], [4, 0, 0, 4, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 0, 4, 0, 0, 4, 0], [0, 4, 4, 0, 4, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 4, 0, 0, 4], [4, 0, 4, 4, 0, 4, 0, 0, 4, 0, 4, 4, 0, 4, 0, 0, 0, 4, 0, 4], [0, 4, 0, 0, 4, 4, 4, 4, 0, 4, 0, 4, 0, 4, 0, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 4, 4, 4, 0, 4, 0, 0, 4, 0, 0, 0, 0, 4, 4, 4], [0, 0, 4, 4, 0, 4, 4, 0, 4, 0, 0, 0, 4, 4, 0, 4, 0, 4, 4, 4], [4, 0, 4, 4, 0, 4, 0, 4, 4, 4, 4, 0, 4, 0, 4, 0, 4, 4, 0, 0], [4, 4, 4, 4, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0], [4, 4, 0, 0, 4, 0, 4, 0, 0, 0, 4, 0, 4, 4, 4, 0, 4, 4, 4, 0], [0, 0, 0, 4, 4, 4, 0, 4, 4, 4, 4, 0, 0, 0, 4, 4, 4, 4, 0, 4], [0, 4, 4, 0, 4, 4, 0, 4, 0, 4, 4, 4, 4, 4, 4, 0, 0, 4, 0, 4], [0, 0, 4, 0, 4, 4, 4, 4, 4, 0, 0, 0, 4, 4, 4, 0, 0, 4, 0, 4], [4, 0, 4, 0, 0, 4, 4, 4, 4, 4, 4, 4, 0, 4, 4, 4, 4, 0, 0, 0], [4, 0, 4, 0, 0, 4, 4, 0, 0, 0, 0, 4, 0, 4, 0, 0, 0, 4, 0, 0], [4, 0, 0, 0, 0, 4, 4, 4, 0, 4, 0, 0, 4, 4, 4, 0, 0, 0, 0, 4], [0, 4, 0, 0, 0, 4, 4, 0, 4, 4, 4, 4, 4, 4, 4, 0, 4, 4, 4, 0]]\nExample input-output arrays:\n[[0, 6, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 6, 0, 6, 6, 6, 6, 6, 0], [6, 0, 6, 0, 0, 0, 6, 6, 6, 6, 6, 0, 0, 0, 6, 6, 6, 6, 0, 0], [6, 6, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6, 6, 6, 0, 0, 0, 6, 0, 6], [6, 6, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 6, 0, 6, 6], [0, 0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 6, 6, 6, 0, 0, 0, 6, 6, 0], [6, 6, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 6, 6, 6, 0, 0, 6, 6, 0], [0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6, 6, 6, 0, 6, 6], [6, 6, 0, 0, 0, 6, 0, 0, 6, 6, 0, 0, 6, 0, 6, 6, 0, 0, 6, 6], [6, 6, 0, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6], [0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6], [0, 0, 6, 0, 6, 6, 6, 6, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 6], [6, 0, 0, 0, 6, 6, 6, 0, 6, 0, 6, 0, 6, 0, 0, 6, 6, 6, 6, 0], [0, 0, 0, 6, 0, 6, 0, 6, 0, 0, 0, 6, 6, 6, 0, 0, 0, 6, 0, 6], [0, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 0, 0, 6], [6, 6, 0, 0, 6, 6, 6, 6, 0, 6, 6, 0, 6, 0, 6, 6, 6, 0, 6, 0], [0, 0, 0, 0, 0, 0, 6, 0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 0, 0, 6], [6, 6, 6, 0, 6, 0, 0, 6, 6, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0], [0, 6, 0, 0, 0, 6, 0, 0, 0, 0, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6], [6, 0, 6, 0, 6, 6, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 0, 6, 0], [6, 0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 0, 0, 0, 6, 0], [0, 7, 0, 7, 7, 0, 7, 0, 0, 0, 7, 7, 7, 0, 7, 7, 7, 0, 7, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0], [0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7, 7, 7, 0, 0, 0, 7, 7, 7, 7], [7, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7, 7, 0, 0, 7, 7, 0], [7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 7, 0, 0], [7, 0, 7, 7, 7, 7, 0, 7, 0, 0, 7, 0, 7, 7, 0, 0, 7, 7, 7, 7], [7, 7, 0, 0, 0, 7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0], [7, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 7, 7, 7, 7, 0, 7, 7, 0, 0], [7, 7, 0, 7, 7, 0, 7, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 0], [7, 0, 0, 7, 7, 0, 7, 0, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7, 0, 7], [0, 7, 7, 7, 7, 0, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 0, 7, 7, 0], [7, 7, 0, 7, 7, 7, 7, 7, 0, 0, 7, 7, 0, 0, 7, 0, 7, 0, 7, 7], [0, 7, 0, 0, 0, 0, 7, 7, 7, 0, 7, 7, 7, 7, 0, 0, 0, 7, 0, 0], [7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7], [0, 0, 7, 0, 7, 7, 0, 7, 7, 7, 0, 7, 0, 0, 0, 7, 7, 7, 0, 0], [0, 7, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 0, 0], [7, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 0, 7, 7], [0, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7, 0, 0, 0, 7, 7, 0, 7, 7], [7, 7, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 0, 7, 0, 7, 7, 0, 0]] -> [[0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 4, 0, 0], [4, 0, 4, 0, 0, 0, 4, 4, 4, 4, 0, 0, 0, 0, 4, 0, 4, 4, 0, 0], [4, 0, 0, 0, 4, 0, 0, 0, 0, 4, 4, 0, 0, 4, 0, 0, 4, 0, 4, 0], [0, 0, 4, 0, 0, 4, 0, 4, 4, 4, 4, 4, 4, 0, 0, 0, 4, 4, 0, 4], [4, 0, 0, 4, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 0, 4, 0, 0, 4, 0], [0, 4, 4, 0, 4, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 4, 0, 0, 4], [4, 0, 4, 4, 0, 4, 0, 0, 4, 0, 4, 4, 0, 4, 0, 0, 0, 4, 0, 4], [0, 4, 0, 0, 4, 4, 4, 4, 0, 4, 0, 4, 0, 4, 0, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 4, 4, 4, 0, 4, 0, 0, 4, 0, 0, 0, 0, 4, 4, 4], [0, 0, 4, 4, 0, 4, 4, 0, 4, 0, 0, 0, 4, 4, 0, 4, 0, 4, 4, 4], [4, 0, 4, 4, 0, 4, 0, 4, 4, 4, 4, 0, 4, 0, 4, 0, 4, 4, 0, 0], [4, 4, 4, 4, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0], [4, 4, 0, 0, 4, 0, 4, 0, 0, 0, 4, 0, 4, 4, 4, 0, 4, 4, 4, 0], [0, 0, 0, 4, 4, 4, 0, 4, 4, 4, 4, 0, 0, 0, 4, 4, 4, 4, 0, 4], [0, 4, 4, 0, 4, 4, 0, 4, 0, 4, 4, 4, 4, 4, 4, 0, 0, 4, 0, 4], [0, 0, 4, 0, 4, 4, 4, 4, 4, 0, 0, 0, 4, 4, 4, 0, 0, 4, 0, 4], [4, 0, 4, 0, 0, 4, 4, 4, 4, 4, 4, 4, 0, 4, 4, 4, 4, 0, 0, 0], [4, 0, 4, 0, 0, 4, 4, 0, 0, 0, 0, 4, 0, 4, 0, 0, 0, 4, 0, 0], [4, 0, 0, 0, 0, 4, 4, 4, 0, 4, 0, 0, 4, 4, 4, 0, 0, 0, 0, 4], [0, 4, 0, 0, 0, 4, 4, 0, 4, 4, 4, 4, 4, 4, 4, 0, 4, 4, 4, 0]]\nExample input-output arrays:\n[[0, 6, 0, 0, 6, 6, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 6, 6], [6, 0, 6, 0, 6, 0, 6, 6, 6, 0, 0, 6, 0, 6, 0, 0, 6, 0, 6, 0], [0, 6, 0, 6, 0, 6, 6, 0, 6, 0, 0, 6, 6, 6, 0, 6, 6, 0, 6, 6], [6, 0, 6, 0, 6, 6, 6, 0, 6, 0, 0, 6, 0, 6, 0, 6, 6, 0, 6, 6], [0, 0, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 6, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6], [0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 6, 0, 6, 6, 6, 0], [6, 0, 0, 6, 6, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0], [6, 6, 0, 6, 0, 0, 6, 0, 6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 0, 6], [0, 6, 6, 0, 6, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6, 6, 6, 0, 0, 6], [0, 6, 0, 0, 0, 0, 0, 6, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6, 0, 0], [6, 0, 6, 6, 6, 0, 0, 0, 0, 6, 0, 6, 0, 6, 0, 0, 6, 0, 6, 0], [6, 6, 0, 0, 0, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 6, 0, 6], [6, 0, 6, 6, 0, 0, 6, 6, 0, 6, 6, 6, 0, 0, 6, 0, 0, 6, 6, 6], [6, 6, 0, 6, 6, 0, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0], [0, 6, 6, 6, 6, 0, 6, 0, 0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 0, 0], [0, 0, 0, 6, 0, 0, 6, 6, 0, 0, 6, 0, 0, 0, 6, 0, 6, 0, 6, 6], [6, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6, 0, 0, 6, 6, 6, 6], [6, 6, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6], [6, 0, 6, 6, 6, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 0, 0], [7, 7, 7, 0, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 0, 0, 7, 0, 0, 0], [7, 7, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 7, 0, 0, 7, 7, 0, 7, 0], [7, 0, 7, 0, 0, 0, 0, 7, 7, 7, 7, 7, 0, 0, 7, 0, 7, 0, 0, 7], [0, 7, 0, 7, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 7, 0, 0, 0], [0, 7, 7, 7, 0, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 0], [7, 7, 7, 7, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 0, 7, 7, 0], [7, 7, 0, 7, 7, 0, 0, 0, 0, 7, 7, 0, 0, 7, 0, 7, 0, 7, 0, 0], [0, 7, 7, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0], [7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 7, 7, 7, 0, 0], [0, 0, 7, 0, 7, 0, 0, 0, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0, 7, 7], [7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 7, 7, 7], [7, 7, 0, 7, 7, 7, 0, 0, 0, 7, 7, 0, 7, 7, 0, 0, 7, 7, 0, 7], [0, 0, 7, 7, 0, 7, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 7, 7, 7, 7], [0, 7, 7, 0, 0, 7, 0, 0, 7, 7, 0, 7, 0, 7, 7, 7, 7, 0, 7, 7], [7, 0, 0, 0, 0, 7, 7, 7, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0], [7, 7, 0, 7, 7, 7, 0, 7, 0, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 7], [7, 7, 7, 7, 0, 7, 7, 0, 7, 7, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0], [0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 7, 0, 7, 7, 7, 0, 0, 0, 0, 0], [7, 0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7, 0, 7, 0, 7], [7, 0, 0, 7, 7, 7, 0, 0, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 0, 0]] -> [[4, 0, 4, 0, 0, 0, 0, 4, 4, 0, 0, 4, 4, 0, 4, 0, 0, 4, 4, 4], [0, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 4, 4, 4, 0, 4, 0, 0, 0, 0], [4, 4, 4, 4, 0, 4, 4, 4, 0, 4, 4, 0, 4, 4, 4, 4, 0, 0, 4, 0], [4, 4, 4, 4, 0, 4, 0, 0, 4, 0, 4, 4, 0, 4, 0, 0, 0, 0, 4, 4], [0, 4, 4, 4, 4, 0, 4, 4, 0, 0, 4, 4, 4, 0, 0, 0, 4, 4, 0, 0], [4, 0, 0, 4, 0, 0, 4, 4, 4, 0, 4, 4, 0, 0, 4, 0, 4, 0, 0, 4], [4, 4, 0, 0, 4, 0, 0, 4, 0, 4, 4, 4, 4, 4, 4, 4, 4, 0, 4, 0], [4, 4, 4, 4, 0, 4, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0], [0, 4, 4, 0, 4, 4, 0, 4, 0, 0, 0, 4, 4, 4, 4, 0, 4, 0, 0, 4], [0, 4, 0, 0, 0, 0, 0, 4, 0, 4, 4, 0, 4, 0, 0, 4, 4, 0, 4, 0], [4, 0, 4, 4, 0, 0, 0, 4, 0, 4, 0, 0, 4, 4, 0, 4, 0, 0, 4, 4], [0, 4, 4, 0, 0, 4, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 4, 4, 4], [4, 4, 4, 4, 0, 4, 4, 0, 0, 0, 4, 0, 4, 4, 4, 4, 4, 0, 4, 0], [4, 4, 0, 4, 0, 4, 4, 4, 4, 0, 4, 0, 0, 4, 0, 4, 4, 4, 0, 0], [0, 4, 0, 4, 4, 4, 0, 0, 0, 4, 4, 4, 4, 0, 4, 4, 0, 4, 4, 0], [4, 0, 4, 0, 0, 4, 4, 4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 4, 4, 4], [4, 4, 4, 0, 0, 4, 0, 4, 4, 4, 4, 0, 0, 0, 0, 4, 0, 0, 4, 4], [4, 0, 4, 0, 4, 4, 4, 4, 4, 0, 0, 4, 0, 0, 4, 0, 4, 4, 4, 4], [0, 4, 0, 4, 0, 4, 4, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 4, 0], [0, 0, 4, 0, 0, 4, 0, 0, 4, 4, 0, 4, 4, 0, 4, 4, 4, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 6, 0, 0, 6, 6, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 6, 6], [6, 0, 6, 0, 6, 0, 6, 6, 6, 0, 0, 6, 0, 6, 0, 0, 6, 0, 6, 0], [0, 6, 0, 6, 0, 6, 6, 0, 6, 0, 0, 6, 6, 6, 0, 6, 6, 0, 6, 6], [6, 0, 6, 0, 6, 6, 6, 0, 6, 0, 0, 6, 0, 6, 0, 6, 6, 0, 6, 6], [0, 0, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 6, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6], [0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 6, 0, 6, 6, 6, 0], [6, 0, 0, 6, 6, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0], [6, 6, 0, 6, 0, 0, 6, 0, 6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 0, 6], [0, 6, 6, 0, 6, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6, 6, 6, 0, 0, 6], [0, 6, 0, 0, 0, 0, 0, 6, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6, 0, 0], [6, 0, 6, 6, 6, 0, 0, 0, 0, 6, 0, 6, 0, 6, 0, 0, 6, 0, 6, 0], [6, 6, 0, 0, 0, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 6, 0, 6], [6, 0, 6, 6, 0, 0, 6, 6, 0, 6, 6, 6, 0, 0, 6, 0, 0, 6, 6, 6], [6, 6, 0, 6, 6, 0, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0], [0, 6, 6, 6, 6, 0, 6, 0, 0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 0, 0], [0, 0, 0, 6, 0, 0, 6, 6, 0, 0, 6, 0, 0, 0, 6, 0, 6, 0, 6, 6], [6, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6, 0, 0, 6, 6, 6, 6], [6, 6, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6], [6, 0, 6, 6, 6, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 0, 0], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7]] -> ",
+                "test": {
+                    "input": [
+                        [
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+                    "output": [
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+                }
+            }
+        },
+        "L3": {
+            "Replicate 0": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[6, 6, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 6, 6, 0, 6, 6], [0, 6, 6, 6, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0], [6, 6, 0, 0, 6, 0, 0, 6, 6, 6, 0, 6, 0, 0, 0, 6, 6, 6, 0, 0], [0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6], [6, 0, 6, 6, 6, 0, 6, 0, 0, 0, 6, 0, 0, 0, 6, 6, 6, 6, 0, 6], [0, 6, 6, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 6, 0, 6, 6, 6, 6], [6, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 6, 6, 6, 6, 6, 6, 0], [0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 0, 0, 6, 6], [0, 0, 6, 0, 0, 6, 6, 6, 0, 6, 0, 0, 6, 6, 0, 6, 6, 6, 6, 0], [0, 0, 6, 0, 6, 0, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 6, 0, 6, 0, 0, 0, 0, 6], [0, 0, 6, 0, 0, 6, 0, 6, 6, 0, 6, 0, 0, 6, 6, 6, 6, 0, 0, 6], [0, 6, 0, 6, 0, 6, 6, 0, 6, 0, 6, 0, 6, 0, 6, 6, 6, 6, 0, 0], [0, 6, 6, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0], [0, 6, 0, 0, 6, 6, 0, 6, 0, 0, 6, 0, 0, 6, 6, 0, 0, 0, 0, 6], [0, 6, 0, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 6, 0, 0, 0, 6, 6, 6], [6, 6, 0, 6, 6, 0, 6, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6], [0, 0, 6, 0, 0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 6, 0, 0], [0, 0, 6, 6, 6, 6, 6, 0, 6, 0, 6, 6, 6, 6, 0, 6, 0, 0, 6, 6], [6, 6, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6], [0, 0, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7], [7, 0, 0, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7, 0, 0, 7, 0, 7], [0, 0, 0, 7, 7, 0, 7, 0, 7, 7, 0, 7, 0, 0, 7, 7, 7, 7, 0, 0], [7, 0, 0, 7, 0, 7, 7, 0, 0, 7, 0, 0, 7, 0, 7, 7, 7, 7, 0, 0], [7, 0, 7, 7, 7, 7, 0, 7, 0, 0, 7, 7, 0, 0, 0, 7, 7, 0, 0, 0], [0, 0, 7, 7, 0, 7, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 0, 0, 0, 7], [7, 7, 0, 0, 7, 0, 0, 7, 7, 0, 7, 0, 7, 7, 0, 0, 7, 7, 7, 7], [0, 7, 7, 7, 7, 0, 7, 0, 0, 7, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0], [0, 7, 0, 7, 0, 0, 0, 0, 7, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7], [0, 7, 7, 0, 0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0], [7, 0, 7, 7, 0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0], [0, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 7, 0, 7, 0, 7, 7, 0, 7, 7], [0, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0, 7], [7, 7, 7, 7, 7, 7, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0], [7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 7, 0, 7, 0, 7, 7], [0, 0, 0, 7, 0, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7], [7, 7, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 7, 0, 7], [0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 7], [0, 0, 7, 0, 7, 7, 0, 7, 0, 7, 7, 7, 7, 0, 7, 7, 0, 0, 0, 7], [7, 7, 0, 0, 7, 0, 7, 7, 0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 7, 7]] -> [[4, 4, 0, 4, 4, 0, 4, 4, 0, 4, 4, 4, 0, 4, 0, 0, 0, 0, 0, 0], [4, 4, 4, 4, 4, 0, 4, 4, 4, 4, 4, 0, 4, 4, 4, 0, 0, 0, 0, 4], [4, 4, 0, 4, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0], [4, 4, 4, 4, 0, 0, 0, 0, 4, 4, 0, 4, 0, 4, 4, 0, 0, 0, 0, 4], [0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 4], [0, 4, 0, 0, 0, 4, 4, 0, 0, 4, 4, 4, 0, 4, 0, 4, 4, 4, 4, 0], [0, 4, 0, 0, 4, 0, 0, 0, 4, 4, 4, 0, 4, 0, 4, 4, 0, 0, 0, 4], [0, 4, 0, 4, 4, 0, 4, 0, 0, 4, 4, 4, 4, 0, 0, 0, 0, 0, 4, 4], [0, 4, 4, 4, 0, 4, 4, 4, 4, 0, 0, 4, 4, 4, 0, 4, 4, 4, 4, 4], [0, 4, 0, 0, 4, 4, 4, 0, 0, 4, 4, 0, 0, 4, 4, 0, 4, 4, 4, 4], [0, 4, 0, 0, 4, 0, 0, 4, 4, 0, 0, 0, 4, 0, 4, 0, 0, 4, 4, 4], [0, 4, 0, 0, 0, 4, 4, 4, 0, 0, 4, 4, 0, 0, 4, 0, 0, 0, 4, 0], [0, 4, 4, 4, 4, 4, 0, 4, 0, 4, 0, 0, 4, 0, 4, 4, 0, 0, 0, 4], [4, 0, 0, 0, 4, 0, 0, 4, 0, 4, 4, 0, 4, 4, 0, 0, 4, 0, 4, 0], [4, 0, 4, 4, 4, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 4, 0], [0, 4, 0, 0, 4, 4, 4, 4, 0, 4, 4, 4, 4, 0, 4, 4, 0, 0, 0, 0], [0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 4, 0, 4, 4, 4, 0], [0, 4, 4, 0, 0, 0, 4, 4, 0, 4, 0, 4, 0, 4, 4, 4, 4, 4, 0, 4], [0, 0, 0, 4, 0, 0, 4, 4, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 4, 0], [0, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0, 0, 0, 0, 4, 0, 4, 4, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[8, 8, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 8, 8, 0, 8, 8], [0, 8, 8, 8, 0, 0, 0, 8, 0, 8, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0], [8, 8, 0, 0, 8, 0, 0, 8, 8, 8, 0, 8, 0, 0, 0, 8, 8, 8, 0, 0], [0, 8, 8, 0, 0, 8, 8, 0, 8, 0, 0, 8, 8, 8, 0, 8, 8, 8, 0, 8], [8, 0, 8, 8, 8, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 8, 8, 8, 0, 8], [0, 8, 8, 8, 0, 0, 8, 0, 0, 8, 0, 0, 8, 0, 8, 0, 8, 8, 8, 8], [8, 0, 0, 0, 0, 0, 0, 8, 0, 8, 0, 0, 0, 8, 8, 8, 8, 8, 8, 0], [0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 8, 8, 0, 0, 8, 8], [0, 0, 8, 0, 0, 8, 8, 8, 0, 8, 0, 0, 8, 8, 0, 8, 8, 8, 8, 0], [0, 0, 8, 0, 8, 0, 8, 0, 8, 8, 8, 0, 8, 8, 0, 0, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 0, 8, 8, 0, 8, 8, 0, 8, 0, 0, 0, 0, 8], [0, 0, 8, 0, 0, 8, 0, 8, 8, 0, 8, 0, 0, 8, 8, 8, 8, 0, 0, 8], [0, 8, 0, 8, 0, 8, 8, 0, 8, 0, 8, 0, 8, 0, 8, 8, 8, 8, 0, 0], [0, 8, 8, 8, 0, 8, 0, 8, 0, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0], [0, 8, 0, 0, 8, 8, 0, 8, 0, 0, 8, 0, 0, 8, 8, 0, 0, 0, 0, 8], [0, 8, 0, 8, 8, 0, 8, 0, 8, 8, 0, 0, 8, 8, 0, 0, 0, 8, 8, 8], [8, 8, 0, 8, 8, 0, 8, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 8, 8], [0, 0, 8, 0, 0, 0, 8, 0, 8, 8, 0, 8, 8, 8, 0, 0, 0, 8, 0, 0], [0, 0, 8, 8, 8, 8, 8, 0, 8, 0, 8, 8, 8, 8, 0, 8, 0, 0, 8, 8], [8, 8, 0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 0, 8, 8, 8, 8, 8, 8, 8], [0, 0, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7], [7, 0, 0, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7, 0, 0, 7, 0, 7], [0, 0, 0, 7, 7, 0, 7, 0, 7, 7, 0, 7, 0, 0, 7, 7, 7, 7, 0, 0], [7, 0, 0, 7, 0, 7, 7, 0, 0, 7, 0, 0, 7, 0, 7, 7, 7, 7, 0, 0], [7, 0, 7, 7, 7, 7, 0, 7, 0, 0, 7, 7, 0, 0, 0, 7, 7, 0, 0, 0], [0, 0, 7, 7, 0, 7, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 0, 0, 0, 7], [7, 7, 0, 0, 7, 0, 0, 7, 7, 0, 7, 0, 7, 7, 0, 0, 7, 7, 7, 7], [0, 7, 7, 7, 7, 0, 7, 0, 0, 7, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0], [0, 7, 0, 7, 0, 0, 0, 0, 7, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7], [0, 7, 7, 0, 0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0], [7, 0, 7, 7, 0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0], [0, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 7, 0, 7, 0, 7, 7, 0, 7, 7], [0, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0, 7], [7, 7, 7, 7, 7, 7, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0], [7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 7, 0, 7, 0, 7, 7], [0, 0, 0, 7, 0, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7], [7, 7, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 7, 0, 7], [0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 7], [0, 0, 7, 0, 7, 7, 0, 7, 0, 7, 7, 7, 7, 0, 7, 7, 0, 0, 0, 7], [7, 7, 0, 0, 7, 0, 7, 7, 0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 7, 7]] -> [[4, 4, 0, 4, 4, 0, 4, 4, 0, 4, 4, 4, 0, 4, 0, 0, 0, 0, 0, 0], [4, 4, 4, 4, 4, 0, 4, 4, 4, 4, 4, 0, 4, 4, 4, 0, 0, 0, 0, 4], [4, 4, 0, 4, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0], [4, 4, 4, 4, 0, 0, 0, 0, 4, 4, 0, 4, 0, 4, 4, 0, 0, 0, 0, 4], [0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 4], [0, 4, 0, 0, 0, 4, 4, 0, 0, 4, 4, 4, 0, 4, 0, 4, 4, 4, 4, 0], [0, 4, 0, 0, 4, 0, 0, 0, 4, 4, 4, 0, 4, 0, 4, 4, 0, 0, 0, 4], [0, 4, 0, 4, 4, 0, 4, 0, 0, 4, 4, 4, 4, 0, 0, 0, 0, 0, 4, 4], [0, 4, 4, 4, 0, 4, 4, 4, 4, 0, 0, 4, 4, 4, 0, 4, 4, 4, 4, 4], [0, 4, 0, 0, 4, 4, 4, 0, 0, 4, 4, 0, 0, 4, 4, 0, 4, 4, 4, 4], [0, 4, 0, 0, 4, 0, 0, 4, 4, 0, 0, 0, 4, 0, 4, 0, 0, 4, 4, 4], [0, 4, 0, 0, 0, 4, 4, 4, 0, 0, 4, 4, 0, 0, 4, 0, 0, 0, 4, 0], [0, 4, 4, 4, 4, 4, 0, 4, 0, 4, 0, 0, 4, 0, 4, 4, 0, 0, 0, 4], [4, 0, 0, 0, 4, 0, 0, 4, 0, 4, 4, 0, 4, 4, 0, 0, 4, 0, 4, 0], [4, 0, 4, 4, 4, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 4, 0], [0, 4, 0, 0, 4, 4, 4, 4, 0, 4, 4, 4, 4, 0, 4, 4, 0, 0, 0, 0], [0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 4, 0, 4, 4, 4, 0], [0, 4, 4, 0, 0, 0, 4, 4, 0, 4, 0, 4, 0, 4, 4, 4, 4, 4, 0, 4], [0, 0, 0, 4, 0, 0, 4, 4, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 4, 0], [0, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0, 0, 0, 0, 4, 0, 4, 4, 0, 0]]\nExample input-output arrays:\n[[6, 0, 6, 6, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6], [0, 6, 6, 6, 6, 6, 6, 6, 0, 6, 0, 6, 6, 6, 0, 0, 0, 0, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 6, 0, 0, 6, 0, 6], [6, 0, 0, 6, 0, 0, 6, 0, 6, 0, 6, 0, 0, 6, 6, 0, 6, 6, 6, 0], [6, 0, 0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 6, 6], [0, 6, 0, 6, 0, 6, 0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 6, 6, 0, 0], [0, 0, 6, 0, 0, 0, 6, 6, 6, 0, 6, 0, 6, 6, 0, 6, 0, 6, 6, 0], [6, 6, 0, 0, 6, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 0, 6, 6], [6, 6, 6, 6, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 6], [0, 0, 6, 0, 0, 0, 6, 6, 6, 6, 6, 0, 0, 0, 6, 0, 6, 6, 6, 0], [6, 6, 0, 0, 0, 0, 6, 0, 6, 0, 6, 6, 0, 6, 6, 0, 0, 0, 0, 6], [6, 0, 6, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 0, 0, 0, 6, 6, 0, 6], [0, 6, 6, 0, 0, 0, 0, 0, 6, 0, 6, 6, 0, 0, 6, 0, 0, 0, 6, 0], [0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 0, 0, 6, 0, 0, 6, 6, 0, 0, 6], [0, 6, 6, 0, 6, 6, 6, 0, 6, 0, 0, 0, 6, 6, 6, 6, 6, 6, 0, 0], [6, 0, 6, 0, 0, 0, 0, 0, 0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 6, 0], [6, 0, 0, 6, 0, 0, 0, 0, 6, 6, 0, 6, 0, 6, 0, 0, 0, 0, 6, 0], [6, 0, 6, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 0, 0, 6, 0, 6], [0, 0, 0, 6, 0, 0, 0, 0, 6, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 6], [6, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 0, 0, 0, 0, 6, 0, 6, 0, 6], [0, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0], [7, 7, 0, 0, 7, 7, 0, 0, 0, 7, 7, 7, 7, 0, 0, 0, 0, 7, 7, 0], [7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7], [7, 0, 7, 0, 0, 0, 0, 7, 7, 0, 7, 0, 0, 7, 7, 0, 7, 0, 0, 7], [7, 7, 0, 0, 0, 0, 7, 7, 7, 7, 7, 0, 7, 0, 0, 0, 0, 7, 0, 0], [0, 0, 0, 7, 0, 7, 7, 0, 0, 0, 0, 7, 7, 0, 7, 7, 0, 0, 0, 7], [7, 0, 7, 0, 0, 0, 0, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0], [7, 0, 0, 0, 7, 0, 0, 7, 7, 7, 7, 7, 0, 0, 7, 0, 7, 0, 7, 0], [0, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 0, 7, 0, 7, 7, 0, 7, 0], [0, 7, 7, 7, 0, 0, 0, 7, 7, 0, 0, 7, 7, 0, 0, 0, 7, 7, 7, 7], [7, 7, 7, 7, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 0, 7, 7, 7, 0], [0, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 7, 0, 0, 7, 7], [7, 0, 0, 7, 7, 7, 0, 0, 0, 7, 7, 7, 0, 7, 7, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 7], [0, 7, 7, 7, 0, 7, 7, 7, 0, 7, 0, 0, 0, 0, 7, 7, 7, 7, 7, 0], [0, 7, 7, 0, 0, 0, 0, 7, 0, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0], [7, 0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 7, 7, 0, 7, 0, 0, 0, 0], [0, 7, 0, 0, 7, 7, 0, 0, 7, 7, 0, 0, 7, 7, 7, 7, 7, 7, 0, 7], [7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 7, 7, 0, 7, 7, 7], [7, 7, 0, 7, 0, 7, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 7, 7, 7, 7]] -> [[4, 0, 0, 4, 4, 4, 0, 0, 4, 4, 0, 0, 0, 4, 0, 0, 4, 4, 4, 4], [4, 0, 4, 4, 0, 0, 4, 4, 0, 0, 4, 0, 0, 4, 0, 0, 0, 4, 4, 4], [4, 0, 4, 4, 4, 4, 4, 4, 0, 4, 4, 0, 4, 0, 4, 4, 4, 0, 4, 0], [0, 0, 4, 4, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4], [0, 4, 0, 0, 4, 0, 0, 0, 4, 0, 0, 4, 4, 4, 0, 4, 4, 0, 4, 4], [0, 4, 0, 0, 0, 0, 4, 0, 4, 0, 4, 0, 4, 4, 0, 0, 4, 4, 0, 4], [4, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 4, 4, 0, 4, 0, 4, 0, 0, 0], [0, 4, 0, 0, 0, 0, 4, 4, 0, 0, 4, 0, 4, 4, 4, 0, 4, 0, 0, 4], [4, 4, 0, 0, 4, 0, 4, 4, 0, 4, 4, 0, 0, 4, 0, 0, 4, 0, 4, 4], [0, 4, 0, 4, 0, 0, 4, 0, 0, 4, 4, 4, 4, 0, 4, 0, 0, 0, 0, 4], [0, 0, 4, 4, 0, 4, 0, 4, 4, 0, 4, 4, 0, 4, 0, 0, 4, 4, 4, 4], [4, 0, 4, 4, 0, 4, 4, 0, 4, 0, 4, 4, 0, 0, 0, 4, 4, 4, 4, 0], [4, 4, 4, 4, 4, 4, 0, 0, 4, 4, 0, 0, 0, 4, 0, 0, 0, 0, 4, 0], [0, 0, 4, 0, 4, 0, 0, 4, 0, 4, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0], [0, 0, 0, 4, 4, 0, 0, 4, 4, 4, 0, 0, 4, 4, 0, 0, 0, 0, 4, 0], [4, 4, 0, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0, 4, 4, 0, 4, 0, 0, 0], [0, 0, 4, 4, 0, 4, 0, 0, 4, 0, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0], [4, 4, 4, 4, 4, 0, 0, 4, 0, 0, 4, 4, 0, 4, 0, 4, 4, 0, 0, 0], [4, 4, 4, 4, 0, 0, 0, 0, 4, 0, 4, 4, 4, 4, 4, 0, 0, 0, 4, 0], [0, 4, 0, 4, 0, 4, 4, 0, 0, 4, 0, 0, 4, 0, 0, 0, 4, 0, 4, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing the causal function for some elements.\n[[0, 6, 0, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 6, 6, 6, 6, 6, 0], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 0, 6, 0, 6, 6, 0, 6, 0], [0, 6, 6, 0, 6, 6, 0, 6, 0, 6, 0, 6, 6, 0, 0, 6, 0, 0, 0, 6], [0, 6, 6, 6, 0, 6, 0, 0, 6, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0, 0], [6, 0, 6, 0, 6, 0, 6, 6, 0, 6, 0, 0, 6, 0, 0, 0, 0, 0, 6, 6], [6, 6, 0, 6, 6, 6, 0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 6, 0, 0, 6], [0, 0, 6, 6, 0, 6, 0, 6, 0, 0, 6, 0, 0, 0, 6, 6, 6, 6, 0, 0], [0, 0, 0, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 6, 0], [6, 6, 0, 6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 6, 0, 6, 0, 0, 0, 6], [0, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0, 0, 6, 0, 0, 6, 6, 6, 6, 0], [0, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 6, 0], [6, 0, 0, 6, 6, 6, 6, 6, 0, 6, 0, 0, 6, 6, 0, 6, 6, 6, 0, 6], [6, 0, 0, 6, 0, 0, 6, 6, 0, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 0], [6, 0, 0, 6, 0, 0, 0, 6, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6], [0, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 0, 0, 0, 6, 0, 6, 0, 0, 6], [0, 6, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 6, 0, 6, 6, 6, 6, 0, 6], [0, 6, 0, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 6, 0, 6, 6, 0, 6, 0], [6, 6, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 0, 0, 6, 0, 6, 0, 6, 0], [0, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0], [0, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0], [7, 7, 0, 0, 7, 7, 0, 0, 0, 7, 7, 7, 7, 0, 0, 0, 0, 7, 7, 0], [7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7], [7, 0, 7, 0, 0, 0, 0, 7, 7, 0, 7, 0, 0, 7, 7, 0, 7, 0, 0, 7], [7, 7, 0, 0, 0, 0, 7, 7, 7, 7, 7, 0, 7, 0, 0, 0, 0, 7, 0, 0], [0, 0, 0, 7, 0, 7, 7, 0, 0, 0, 0, 7, 7, 0, 7, 7, 0, 0, 0, 7], [7, 0, 7, 0, 0, 0, 0, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0], [7, 0, 0, 0, 7, 0, 0, 7, 7, 7, 7, 7, 0, 0, 7, 0, 7, 0, 7, 0], [0, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 0, 7, 0, 7, 7, 0, 7, 0], [0, 7, 7, 7, 0, 0, 0, 7, 7, 0, 0, 7, 7, 0, 0, 0, 7, 7, 7, 7], [7, 7, 7, 7, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 0, 7, 7, 7, 0], [0, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 7, 0, 0, 7, 7], [7, 0, 0, 7, 7, 7, 0, 0, 0, 7, 7, 7, 0, 7, 7, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 7], [0, 7, 7, 7, 0, 7, 7, 7, 0, 7, 0, 0, 0, 0, 7, 7, 7, 7, 7, 0], [0, 7, 7, 0, 0, 0, 0, 7, 0, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0], [7, 0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 7, 7, 0, 7, 0, 0, 0, 0], [0, 7, 0, 0, 7, 7, 0, 0, 7, 7, 0, 0, 7, 7, 7, 7, 7, 7, 0, 7], [7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 7, 7, 0, 7, 7, 7], [7, 7, 0, 7, 0, 7, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 7, 7, 7, 7]] -> ",
+                "test": {
+                    "input": [
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+            },
+            "Replicate 1": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[6, 6, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 6, 6, 0, 6, 6], [0, 6, 6, 6, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0], [6, 6, 0, 0, 6, 0, 0, 6, 6, 6, 0, 6, 0, 0, 0, 6, 6, 6, 0, 0], [0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6], [6, 0, 6, 6, 6, 0, 6, 0, 0, 0, 6, 0, 0, 0, 6, 6, 6, 6, 0, 6], [0, 6, 6, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 6, 0, 6, 6, 6, 6], [6, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 6, 6, 6, 6, 6, 6, 0], [0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 0, 0, 6, 6], [0, 0, 6, 0, 0, 6, 6, 6, 0, 6, 0, 0, 6, 6, 0, 6, 6, 6, 6, 0], [0, 0, 6, 0, 6, 0, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 6, 0, 6, 0, 0, 0, 0, 6], [0, 0, 6, 0, 0, 6, 0, 6, 6, 0, 6, 0, 0, 6, 6, 6, 6, 0, 0, 6], [0, 6, 0, 6, 0, 6, 6, 0, 6, 0, 6, 0, 6, 0, 6, 6, 6, 6, 0, 0], [0, 6, 6, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0], [0, 6, 0, 0, 6, 6, 0, 6, 0, 0, 6, 0, 0, 6, 6, 0, 0, 0, 0, 6], [0, 6, 0, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 6, 0, 0, 0, 6, 6, 6], [6, 6, 0, 6, 6, 0, 6, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6], [0, 0, 6, 0, 0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 6, 0, 0], [0, 0, 6, 6, 6, 6, 6, 0, 6, 0, 6, 6, 6, 6, 0, 6, 0, 0, 6, 6], [6, 6, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6], [0, 0, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7], [7, 0, 0, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7, 0, 0, 7, 0, 7], [0, 0, 0, 7, 7, 0, 7, 0, 7, 7, 0, 7, 0, 0, 7, 7, 7, 7, 0, 0], [7, 0, 0, 7, 0, 7, 7, 0, 0, 7, 0, 0, 7, 0, 7, 7, 7, 7, 0, 0], [7, 0, 7, 7, 7, 7, 0, 7, 0, 0, 7, 7, 0, 0, 0, 7, 7, 0, 0, 0], [0, 0, 7, 7, 0, 7, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 0, 0, 0, 7], [7, 7, 0, 0, 7, 0, 0, 7, 7, 0, 7, 0, 7, 7, 0, 0, 7, 7, 7, 7], [0, 7, 7, 7, 7, 0, 7, 0, 0, 7, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0], [0, 7, 0, 7, 0, 0, 0, 0, 7, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7], [0, 7, 7, 0, 0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0], [7, 0, 7, 7, 0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0], [0, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 7, 0, 7, 0, 7, 7, 0, 7, 7], [0, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0, 7], [7, 7, 7, 7, 7, 7, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0], [7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 7, 0, 7, 0, 7, 7], [0, 0, 0, 7, 0, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7], [7, 7, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 7, 0, 7], [0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 7], [0, 0, 7, 0, 7, 7, 0, 7, 0, 7, 7, 7, 7, 0, 7, 7, 0, 0, 0, 7], [7, 7, 0, 0, 7, 0, 7, 7, 0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 7, 7]] -> [[4, 4, 0, 4, 4, 0, 4, 4, 0, 4, 4, 4, 0, 4, 0, 0, 0, 0, 0, 0], [4, 4, 4, 4, 4, 0, 4, 4, 4, 4, 4, 0, 4, 4, 4, 0, 0, 0, 0, 4], [4, 4, 0, 4, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0], [4, 4, 4, 4, 0, 0, 0, 0, 4, 4, 0, 4, 0, 4, 4, 0, 0, 0, 0, 4], [0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 4], [0, 4, 0, 0, 0, 4, 4, 0, 0, 4, 4, 4, 0, 4, 0, 4, 4, 4, 4, 0], [0, 4, 0, 0, 4, 0, 0, 0, 4, 4, 4, 0, 4, 0, 4, 4, 0, 0, 0, 4], [0, 4, 0, 4, 4, 0, 4, 0, 0, 4, 4, 4, 4, 0, 0, 0, 0, 0, 4, 4], [0, 4, 4, 4, 0, 4, 4, 4, 4, 0, 0, 4, 4, 4, 0, 4, 4, 4, 4, 4], [0, 4, 0, 0, 4, 4, 4, 0, 0, 4, 4, 0, 0, 4, 4, 0, 4, 4, 4, 4], [0, 4, 0, 0, 4, 0, 0, 4, 4, 0, 0, 0, 4, 0, 4, 0, 0, 4, 4, 4], [0, 4, 0, 0, 0, 4, 4, 4, 0, 0, 4, 4, 0, 0, 4, 0, 0, 0, 4, 0], [0, 4, 4, 4, 4, 4, 0, 4, 0, 4, 0, 0, 4, 0, 4, 4, 0, 0, 0, 4], [4, 0, 0, 0, 4, 0, 0, 4, 0, 4, 4, 0, 4, 4, 0, 0, 4, 0, 4, 0], [4, 0, 4, 4, 4, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 4, 0], [0, 4, 0, 0, 4, 4, 4, 4, 0, 4, 4, 4, 4, 0, 4, 4, 0, 0, 0, 0], [0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 4, 0, 4, 4, 4, 0], [0, 4, 4, 0, 0, 0, 4, 4, 0, 4, 0, 4, 0, 4, 4, 4, 4, 4, 0, 4], [0, 0, 0, 4, 0, 0, 4, 4, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 4, 0], [0, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0, 0, 0, 0, 4, 0, 4, 4, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[5, 5, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 5, 5, 0, 5, 5], [0, 5, 5, 5, 0, 0, 0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0], [5, 5, 0, 0, 5, 0, 0, 5, 5, 5, 0, 5, 0, 0, 0, 5, 5, 5, 0, 0], [0, 5, 5, 0, 0, 5, 5, 0, 5, 0, 0, 5, 5, 5, 0, 5, 5, 5, 0, 5], [5, 0, 5, 5, 5, 0, 5, 0, 0, 0, 5, 0, 0, 0, 5, 5, 5, 5, 0, 5], [0, 5, 5, 5, 0, 0, 5, 0, 0, 5, 0, 0, 5, 0, 5, 0, 5, 5, 5, 5], [5, 0, 0, 0, 0, 0, 0, 5, 0, 5, 0, 0, 0, 5, 5, 5, 5, 5, 5, 0], [0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 5, 5, 5, 0, 0, 5, 5], [0, 0, 5, 0, 0, 5, 5, 5, 0, 5, 0, 0, 5, 5, 0, 5, 5, 5, 5, 0], [0, 0, 5, 0, 5, 0, 5, 0, 5, 5, 5, 0, 5, 5, 0, 0, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 0, 5, 5, 0, 5, 5, 0, 5, 0, 0, 0, 0, 5], [0, 0, 5, 0, 0, 5, 0, 5, 5, 0, 5, 0, 0, 5, 5, 5, 5, 0, 0, 5], [0, 5, 0, 5, 0, 5, 5, 0, 5, 0, 5, 0, 5, 0, 5, 5, 5, 5, 0, 0], [0, 5, 5, 5, 0, 5, 0, 5, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0], [0, 5, 0, 0, 5, 5, 0, 5, 0, 0, 5, 0, 0, 5, 5, 0, 0, 0, 0, 5], [0, 5, 0, 5, 5, 0, 5, 0, 5, 5, 0, 0, 5, 5, 0, 0, 0, 5, 5, 5], [5, 5, 0, 5, 5, 0, 5, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 5, 5], [0, 0, 5, 0, 0, 0, 5, 0, 5, 5, 0, 5, 5, 5, 0, 0, 0, 5, 0, 0], [0, 0, 5, 5, 5, 5, 5, 0, 5, 0, 5, 5, 5, 5, 0, 5, 0, 0, 5, 5], [5, 5, 0, 0, 5, 5, 5, 5, 5, 5, 5, 5, 0, 5, 5, 5, 5, 5, 5, 5], [0, 0, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7], [7, 0, 0, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7, 0, 0, 7, 0, 7], [0, 0, 0, 7, 7, 0, 7, 0, 7, 7, 0, 7, 0, 0, 7, 7, 7, 7, 0, 0], [7, 0, 0, 7, 0, 7, 7, 0, 0, 7, 0, 0, 7, 0, 7, 7, 7, 7, 0, 0], [7, 0, 7, 7, 7, 7, 0, 7, 0, 0, 7, 7, 0, 0, 0, 7, 7, 0, 0, 0], [0, 0, 7, 7, 0, 7, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 0, 0, 0, 7], [7, 7, 0, 0, 7, 0, 0, 7, 7, 0, 7, 0, 7, 7, 0, 0, 7, 7, 7, 7], [0, 7, 7, 7, 7, 0, 7, 0, 0, 7, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0], [0, 7, 0, 7, 0, 0, 0, 0, 7, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7], [0, 7, 7, 0, 0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0], [7, 0, 7, 7, 0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0], [0, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 7, 0, 7, 0, 7, 7, 0, 7, 7], [0, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0, 7], [7, 7, 7, 7, 7, 7, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0], [7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 7, 0, 7, 0, 7, 7], [0, 0, 0, 7, 0, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7], [7, 7, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 7, 0, 7], [0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 7], [0, 0, 7, 0, 7, 7, 0, 7, 0, 7, 7, 7, 7, 0, 7, 7, 0, 0, 0, 7], [7, 7, 0, 0, 7, 0, 7, 7, 0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 7, 7]] -> [[4, 4, 0, 4, 4, 0, 4, 4, 0, 4, 4, 4, 0, 4, 0, 0, 0, 0, 0, 0], [4, 4, 4, 4, 4, 0, 4, 4, 4, 4, 4, 0, 4, 4, 4, 0, 0, 0, 0, 4], [4, 4, 0, 4, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0], [4, 4, 4, 4, 0, 0, 0, 0, 4, 4, 0, 4, 0, 4, 4, 0, 0, 0, 0, 4], [0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 4], [0, 4, 0, 0, 0, 4, 4, 0, 0, 4, 4, 4, 0, 4, 0, 4, 4, 4, 4, 0], [0, 4, 0, 0, 4, 0, 0, 0, 4, 4, 4, 0, 4, 0, 4, 4, 0, 0, 0, 4], [0, 4, 0, 4, 4, 0, 4, 0, 0, 4, 4, 4, 4, 0, 0, 0, 0, 0, 4, 4], [0, 4, 4, 4, 0, 4, 4, 4, 4, 0, 0, 4, 4, 4, 0, 4, 4, 4, 4, 4], [0, 4, 0, 0, 4, 4, 4, 0, 0, 4, 4, 0, 0, 4, 4, 0, 4, 4, 4, 4], [0, 4, 0, 0, 4, 0, 0, 4, 4, 0, 0, 0, 4, 0, 4, 0, 0, 4, 4, 4], [0, 4, 0, 0, 0, 4, 4, 4, 0, 0, 4, 4, 0, 0, 4, 0, 0, 0, 4, 0], [0, 4, 4, 4, 4, 4, 0, 4, 0, 4, 0, 0, 4, 0, 4, 4, 0, 0, 0, 4], [4, 0, 0, 0, 4, 0, 0, 4, 0, 4, 4, 0, 4, 4, 0, 0, 4, 0, 4, 0], [4, 0, 4, 4, 4, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 4, 0], [0, 4, 0, 0, 4, 4, 4, 4, 0, 4, 4, 4, 4, 0, 4, 4, 0, 0, 0, 0], [0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 4, 0, 4, 4, 4, 0], [0, 4, 4, 0, 0, 0, 4, 4, 0, 4, 0, 4, 0, 4, 4, 4, 4, 4, 0, 4], [0, 0, 0, 4, 0, 0, 4, 4, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 4, 0], [0, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0, 0, 0, 0, 4, 0, 4, 4, 0, 0]]\nExample input-output arrays:\n[[6, 0, 6, 6, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6], [0, 6, 6, 6, 6, 6, 6, 6, 0, 6, 0, 6, 6, 6, 0, 0, 0, 0, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 6, 0, 0, 6, 0, 6], [6, 0, 0, 6, 0, 0, 6, 0, 6, 0, 6, 0, 0, 6, 6, 0, 6, 6, 6, 0], [6, 0, 0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 6, 6], [0, 6, 0, 6, 0, 6, 0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 6, 6, 0, 0], [0, 0, 6, 0, 0, 0, 6, 6, 6, 0, 6, 0, 6, 6, 0, 6, 0, 6, 6, 0], [6, 6, 0, 0, 6, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 0, 6, 6], [6, 6, 6, 6, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 6], [0, 0, 6, 0, 0, 0, 6, 6, 6, 6, 6, 0, 0, 0, 6, 0, 6, 6, 6, 0], [6, 6, 0, 0, 0, 0, 6, 0, 6, 0, 6, 6, 0, 6, 6, 0, 0, 0, 0, 6], [6, 0, 6, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 0, 0, 0, 6, 6, 0, 6], [0, 6, 6, 0, 0, 0, 0, 0, 6, 0, 6, 6, 0, 0, 6, 0, 0, 0, 6, 0], [0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 0, 0, 6, 0, 0, 6, 6, 0, 0, 6], [0, 6, 6, 0, 6, 6, 6, 0, 6, 0, 0, 0, 6, 6, 6, 6, 6, 6, 0, 0], [6, 0, 6, 0, 0, 0, 0, 0, 0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 6, 0], [6, 0, 0, 6, 0, 0, 0, 0, 6, 6, 0, 6, 0, 6, 0, 0, 0, 0, 6, 0], [6, 0, 6, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 0, 0, 6, 0, 6], [0, 0, 0, 6, 0, 0, 0, 0, 6, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 6], [6, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 0, 0, 0, 0, 6, 0, 6, 0, 6], [0, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0], [7, 7, 0, 0, 7, 7, 0, 0, 0, 7, 7, 7, 7, 0, 0, 0, 0, 7, 7, 0], [7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7], [7, 0, 7, 0, 0, 0, 0, 7, 7, 0, 7, 0, 0, 7, 7, 0, 7, 0, 0, 7], [7, 7, 0, 0, 0, 0, 7, 7, 7, 7, 7, 0, 7, 0, 0, 0, 0, 7, 0, 0], [0, 0, 0, 7, 0, 7, 7, 0, 0, 0, 0, 7, 7, 0, 7, 7, 0, 0, 0, 7], [7, 0, 7, 0, 0, 0, 0, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0], [7, 0, 0, 0, 7, 0, 0, 7, 7, 7, 7, 7, 0, 0, 7, 0, 7, 0, 7, 0], [0, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 0, 7, 0, 7, 7, 0, 7, 0], [0, 7, 7, 7, 0, 0, 0, 7, 7, 0, 0, 7, 7, 0, 0, 0, 7, 7, 7, 7], [7, 7, 7, 7, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 0, 7, 7, 7, 0], [0, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 7, 0, 0, 7, 7], [7, 0, 0, 7, 7, 7, 0, 0, 0, 7, 7, 7, 0, 7, 7, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 7], [0, 7, 7, 7, 0, 7, 7, 7, 0, 7, 0, 0, 0, 0, 7, 7, 7, 7, 7, 0], [0, 7, 7, 0, 0, 0, 0, 7, 0, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0], [7, 0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 7, 7, 0, 7, 0, 0, 0, 0], [0, 7, 0, 0, 7, 7, 0, 0, 7, 7, 0, 0, 7, 7, 7, 7, 7, 7, 0, 7], [7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 7, 7, 0, 7, 7, 7], [7, 7, 0, 7, 0, 7, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 7, 7, 7, 7]] -> [[4, 0, 0, 4, 4, 4, 0, 0, 4, 4, 0, 0, 0, 4, 0, 0, 4, 4, 4, 4], [4, 0, 4, 4, 0, 0, 4, 4, 0, 0, 4, 0, 0, 4, 0, 0, 0, 4, 4, 4], [4, 0, 4, 4, 4, 4, 4, 4, 0, 4, 4, 0, 4, 0, 4, 4, 4, 0, 4, 0], [0, 0, 4, 4, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4], [0, 4, 0, 0, 4, 0, 0, 0, 4, 0, 0, 4, 4, 4, 0, 4, 4, 0, 4, 4], [0, 4, 0, 0, 0, 0, 4, 0, 4, 0, 4, 0, 4, 4, 0, 0, 4, 4, 0, 4], [4, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 4, 4, 0, 4, 0, 4, 0, 0, 0], [0, 4, 0, 0, 0, 0, 4, 4, 0, 0, 4, 0, 4, 4, 4, 0, 4, 0, 0, 4], [4, 4, 0, 0, 4, 0, 4, 4, 0, 4, 4, 0, 0, 4, 0, 0, 4, 0, 4, 4], [0, 4, 0, 4, 0, 0, 4, 0, 0, 4, 4, 4, 4, 0, 4, 0, 0, 0, 0, 4], [0, 0, 4, 4, 0, 4, 0, 4, 4, 0, 4, 4, 0, 4, 0, 0, 4, 4, 4, 4], [4, 0, 4, 4, 0, 4, 4, 0, 4, 0, 4, 4, 0, 0, 0, 4, 4, 4, 4, 0], [4, 4, 4, 4, 4, 4, 0, 0, 4, 4, 0, 0, 0, 4, 0, 0, 0, 0, 4, 0], [0, 0, 4, 0, 4, 0, 0, 4, 0, 4, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0], [0, 0, 0, 4, 4, 0, 0, 4, 4, 4, 0, 0, 4, 4, 0, 0, 0, 0, 4, 0], [4, 4, 0, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0, 4, 4, 0, 4, 0, 0, 0], [0, 0, 4, 4, 0, 4, 0, 0, 4, 0, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0], [4, 4, 4, 4, 4, 0, 0, 4, 0, 0, 4, 4, 0, 4, 0, 4, 4, 0, 0, 0], [4, 4, 4, 4, 0, 0, 0, 0, 4, 0, 4, 4, 4, 4, 4, 0, 0, 0, 4, 0], [0, 4, 0, 4, 0, 4, 4, 0, 0, 4, 0, 0, 4, 0, 0, 0, 4, 0, 4, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[6, 0, 6, 6, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6], [0, 6, 6, 6, 6, 6, 6, 6, 0, 6, 0, 6, 6, 6, 0, 0, 0, 0, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 6, 0, 0, 6, 0, 6], [6, 0, 0, 6, 0, 0, 6, 0, 6, 0, 6, 0, 0, 6, 6, 0, 6, 6, 6, 0], [6, 0, 0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 6, 6], [0, 6, 0, 6, 0, 6, 0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 6, 6, 0, 0], [0, 0, 6, 0, 0, 0, 6, 6, 6, 0, 6, 0, 6, 6, 0, 6, 0, 6, 6, 0], [6, 6, 0, 0, 6, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 0, 6, 6], [6, 6, 6, 6, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 6], [0, 0, 6, 0, 0, 0, 6, 6, 6, 6, 6, 0, 0, 0, 6, 0, 6, 6, 6, 0], [6, 6, 0, 0, 0, 0, 6, 0, 6, 0, 6, 6, 0, 6, 6, 0, 0, 0, 0, 6], [6, 0, 6, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 0, 0, 0, 6, 6, 0, 6], [0, 6, 6, 0, 0, 0, 0, 0, 6, 0, 6, 6, 0, 0, 6, 0, 0, 0, 6, 0], [0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 0, 0, 6, 0, 0, 6, 6, 0, 0, 6], [0, 6, 6, 0, 6, 6, 6, 0, 6, 0, 0, 0, 6, 6, 6, 6, 6, 6, 0, 0], [6, 0, 6, 0, 0, 0, 0, 0, 0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 6, 0], [6, 0, 0, 6, 0, 0, 0, 0, 6, 6, 0, 6, 0, 6, 0, 0, 0, 0, 6, 0], [6, 0, 6, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 0, 0, 6, 0, 6], [0, 0, 0, 6, 0, 0, 0, 0, 6, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 6], [6, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 0, 0, 0, 0, 6, 0, 6, 0, 6], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7]] -> ",
+                "test": {
+                    "input": [
+                        [
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+                    "output": [
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+            },
+            "Replicate 2": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 6, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 6, 0, 6, 6, 6, 6, 6, 0], [6, 0, 6, 0, 0, 0, 6, 6, 6, 6, 6, 0, 0, 0, 6, 6, 6, 6, 0, 0], [6, 6, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6, 6, 6, 0, 0, 0, 6, 0, 6], [6, 6, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 6, 0, 6, 6], [0, 0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 6, 6, 6, 0, 0, 0, 6, 6, 0], [6, 6, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 6, 6, 6, 0, 0, 6, 6, 0], [0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6, 6, 6, 0, 6, 6], [6, 6, 0, 0, 0, 6, 0, 0, 6, 6, 0, 0, 6, 0, 6, 6, 0, 0, 6, 6], [6, 6, 0, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6], [0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6], [0, 0, 6, 0, 6, 6, 6, 6, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 6], [6, 0, 0, 0, 6, 6, 6, 0, 6, 0, 6, 0, 6, 0, 0, 6, 6, 6, 6, 0], [0, 0, 0, 6, 0, 6, 0, 6, 0, 0, 0, 6, 6, 6, 0, 0, 0, 6, 0, 6], [0, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 0, 0, 6], [6, 6, 0, 0, 6, 6, 6, 6, 0, 6, 6, 0, 6, 0, 6, 6, 6, 0, 6, 0], [0, 0, 0, 0, 0, 0, 6, 0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 0, 0, 6], [6, 6, 6, 0, 6, 0, 0, 6, 6, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0], [0, 6, 0, 0, 0, 6, 0, 0, 0, 0, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6], [6, 0, 6, 0, 6, 6, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 0, 6, 0], [6, 0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 0, 0, 0, 6, 0], [0, 7, 0, 7, 7, 0, 7, 0, 0, 0, 7, 7, 7, 0, 7, 7, 7, 0, 7, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0], [0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7, 7, 7, 0, 0, 0, 7, 7, 7, 7], [7, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7, 7, 0, 0, 7, 7, 0], [7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 7, 0, 0], [7, 0, 7, 7, 7, 7, 0, 7, 0, 0, 7, 0, 7, 7, 0, 0, 7, 7, 7, 7], [7, 7, 0, 0, 0, 7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0], [7, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 7, 7, 7, 7, 0, 7, 7, 0, 0], [7, 7, 0, 7, 7, 0, 7, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 0], [7, 0, 0, 7, 7, 0, 7, 0, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7, 0, 7], [0, 7, 7, 7, 7, 0, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 0, 7, 7, 0], [7, 7, 0, 7, 7, 7, 7, 7, 0, 0, 7, 7, 0, 0, 7, 0, 7, 0, 7, 7], [0, 7, 0, 0, 0, 0, 7, 7, 7, 0, 7, 7, 7, 7, 0, 0, 0, 7, 0, 0], [7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7], [0, 0, 7, 0, 7, 7, 0, 7, 7, 7, 0, 7, 0, 0, 0, 7, 7, 7, 0, 0], [0, 7, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 0, 0], [7, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 0, 7, 7], [0, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7, 0, 0, 0, 7, 7, 0, 7, 7], [7, 7, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 0, 7, 0, 7, 7, 0, 0]] -> [[0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 4, 0, 0], [4, 0, 4, 0, 0, 0, 4, 4, 4, 4, 0, 0, 0, 0, 4, 0, 4, 4, 0, 0], [4, 0, 0, 0, 4, 0, 0, 0, 0, 4, 4, 0, 0, 4, 0, 0, 4, 0, 4, 0], [0, 0, 4, 0, 0, 4, 0, 4, 4, 4, 4, 4, 4, 0, 0, 0, 4, 4, 0, 4], [4, 0, 0, 4, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 0, 4, 0, 0, 4, 0], [0, 4, 4, 0, 4, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 4, 0, 0, 4], [4, 0, 4, 4, 0, 4, 0, 0, 4, 0, 4, 4, 0, 4, 0, 0, 0, 4, 0, 4], [0, 4, 0, 0, 4, 4, 4, 4, 0, 4, 0, 4, 0, 4, 0, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 4, 4, 4, 0, 4, 0, 0, 4, 0, 0, 0, 0, 4, 4, 4], [0, 0, 4, 4, 0, 4, 4, 0, 4, 0, 0, 0, 4, 4, 0, 4, 0, 4, 4, 4], [4, 0, 4, 4, 0, 4, 0, 4, 4, 4, 4, 0, 4, 0, 4, 0, 4, 4, 0, 0], [4, 4, 4, 4, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0], [4, 4, 0, 0, 4, 0, 4, 0, 0, 0, 4, 0, 4, 4, 4, 0, 4, 4, 4, 0], [0, 0, 0, 4, 4, 4, 0, 4, 4, 4, 4, 0, 0, 0, 4, 4, 4, 4, 0, 4], [0, 4, 4, 0, 4, 4, 0, 4, 0, 4, 4, 4, 4, 4, 4, 0, 0, 4, 0, 4], [0, 0, 4, 0, 4, 4, 4, 4, 4, 0, 0, 0, 4, 4, 4, 0, 0, 4, 0, 4], [4, 0, 4, 0, 0, 4, 4, 4, 4, 4, 4, 4, 0, 4, 4, 4, 4, 0, 0, 0], [4, 0, 4, 0, 0, 4, 4, 0, 0, 0, 0, 4, 0, 4, 0, 0, 0, 4, 0, 0], [4, 0, 0, 0, 0, 4, 4, 4, 0, 4, 0, 0, 4, 4, 4, 0, 0, 0, 0, 4], [0, 4, 0, 0, 0, 4, 4, 0, 4, 4, 4, 4, 4, 4, 4, 0, 4, 4, 4, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 7, 7, 0, 7, 0, 0, 0, 7, 7, 7, 0, 7, 7, 7, 0, 7, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0], [0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7, 7, 7, 0, 0, 0, 7, 7, 7, 7], [7, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7, 7, 0, 0, 7, 7, 0], [7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 7, 0, 0], [7, 0, 7, 7, 7, 7, 0, 7, 0, 0, 7, 0, 7, 7, 0, 0, 7, 7, 7, 7], [7, 7, 0, 0, 0, 7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0], [7, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 7, 7, 7, 7, 0, 7, 7, 0, 0], [7, 7, 0, 7, 7, 0, 7, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 0], [7, 0, 0, 7, 7, 0, 7, 0, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7, 0, 7], [0, 7, 7, 7, 7, 0, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 0, 7, 7, 0], [7, 7, 0, 7, 7, 7, 7, 7, 0, 0, 7, 7, 0, 0, 7, 0, 7, 0, 7, 7], [0, 7, 0, 0, 0, 0, 7, 7, 7, 0, 7, 7, 7, 7, 0, 0, 0, 7, 0, 0], [7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7], [0, 0, 7, 0, 7, 7, 0, 7, 7, 7, 0, 7, 0, 0, 0, 7, 7, 7, 0, 0], [0, 7, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 0, 0], [7, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 0, 7, 7], [0, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7, 0, 0, 0, 7, 7, 0, 7, 7], [7, 7, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 0, 7, 0, 7, 7, 0, 0]] -> [[0, 4, 0, 4, 4, 0, 4, 0, 0, 0, 4, 4, 4, 0, 4, 4, 4, 0, 4, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 4, 0, 0, 0, 0], [0, 4, 0, 4, 0, 0, 0, 4, 0, 0, 4, 4, 4, 0, 0, 0, 4, 4, 4, 4], [4, 4, 4, 0, 4, 4, 0, 4, 4, 4, 4, 4, 0, 4, 4, 0, 0, 4, 4, 0], [4, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 4, 0, 4, 0, 4, 0, 4, 0, 0], [4, 0, 4, 4, 4, 4, 0, 4, 0, 0, 4, 0, 4, 4, 0, 0, 4, 4, 4, 4], [4, 4, 0, 0, 0, 4, 0, 4, 4, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0], [4, 0, 0, 0, 4, 0, 4, 4, 4, 0, 0, 4, 4, 4, 4, 0, 4, 4, 0, 0], [4, 4, 0, 4, 4, 0, 4, 0, 4, 0, 4, 4, 0, 0, 0, 4, 0, 0, 0, 0], [0, 4, 0, 0, 0, 0, 0, 0, 4, 0, 4, 4, 0, 4, 4, 0, 4, 4, 0, 0], [4, 0, 0, 4, 4, 0, 4, 0, 0, 4, 0, 0, 0, 0, 4, 0, 4, 4, 0, 4], [0, 4, 4, 4, 4, 0, 0, 4, 4, 0, 4, 0, 4, 0, 0, 4, 0, 4, 4, 0], [4, 4, 0, 4, 4, 4, 4, 4, 0, 0, 4, 4, 0, 0, 4, 0, 4, 0, 4, 4], [0, 4, 0, 0, 0, 0, 4, 4, 4, 0, 4, 4, 4, 4, 0, 0, 0, 4, 0, 0], [4, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 4, 0, 4, 0, 4, 4, 4, 4, 4], [0, 0, 4, 0, 4, 4, 0, 4, 4, 4, 0, 4, 0, 0, 0, 4, 4, 4, 0, 0], [0, 4, 0, 0, 4, 4, 4, 0, 0, 4, 4, 4, 0, 4, 0, 4, 0, 0, 0, 0], [4, 4, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 0, 4, 4], [0, 0, 4, 0, 4, 0, 4, 0, 4, 4, 4, 4, 0, 0, 0, 4, 4, 0, 4, 4], [4, 4, 0, 0, 4, 4, 4, 0, 0, 4, 4, 4, 0, 0, 4, 0, 4, 4, 0, 0]]\nExample input-output arrays:\n[[6, 6, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 6, 6, 0, 6, 6], [0, 6, 6, 6, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0], [6, 6, 0, 0, 6, 0, 0, 6, 6, 6, 0, 6, 0, 0, 0, 6, 6, 6, 0, 0], [0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6], [6, 0, 6, 6, 6, 0, 6, 0, 0, 0, 6, 0, 0, 0, 6, 6, 6, 6, 0, 6], [0, 6, 6, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 6, 0, 6, 6, 6, 6], [6, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 6, 6, 6, 6, 6, 6, 0], [0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 0, 0, 6, 6], [0, 0, 6, 0, 0, 6, 6, 6, 0, 6, 0, 0, 6, 6, 0, 6, 6, 6, 6, 0], [0, 0, 6, 0, 6, 0, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 6, 0, 6, 0, 0, 0, 0, 6], [0, 0, 6, 0, 0, 6, 0, 6, 6, 0, 6, 0, 0, 6, 6, 6, 6, 0, 0, 6], [0, 6, 0, 6, 0, 6, 6, 0, 6, 0, 6, 0, 6, 0, 6, 6, 6, 6, 0, 0], [0, 6, 6, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0], [0, 6, 0, 0, 6, 6, 0, 6, 0, 0, 6, 0, 0, 6, 6, 0, 0, 0, 0, 6], [0, 6, 0, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 6, 0, 0, 0, 6, 6, 6], [6, 6, 0, 6, 6, 0, 6, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6], [0, 0, 6, 0, 0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 6, 0, 0], [0, 0, 6, 6, 6, 6, 6, 0, 6, 0, 6, 6, 6, 6, 0, 6, 0, 0, 6, 6], [6, 6, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6], [0, 0, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7], [7, 0, 0, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7, 0, 0, 7, 0, 7], [0, 0, 0, 7, 7, 0, 7, 0, 7, 7, 0, 7, 0, 0, 7, 7, 7, 7, 0, 0], [7, 0, 0, 7, 0, 7, 7, 0, 0, 7, 0, 0, 7, 0, 7, 7, 7, 7, 0, 0], [7, 0, 7, 7, 7, 7, 0, 7, 0, 0, 7, 7, 0, 0, 0, 7, 7, 0, 0, 0], [0, 0, 7, 7, 0, 7, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 0, 0, 0, 7], [7, 7, 0, 0, 7, 0, 0, 7, 7, 0, 7, 0, 7, 7, 0, 0, 7, 7, 7, 7], [0, 7, 7, 7, 7, 0, 7, 0, 0, 7, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0], [0, 7, 0, 7, 0, 0, 0, 0, 7, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7], [0, 7, 7, 0, 0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0], [7, 0, 7, 7, 0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0], [0, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 7, 0, 7, 0, 7, 7, 0, 7, 7], [0, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0, 7], [7, 7, 7, 7, 7, 7, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0], [7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 7, 0, 7, 0, 7, 7], [0, 0, 0, 7, 0, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7], [7, 7, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 7, 0, 7], [0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 7], [0, 0, 7, 0, 7, 7, 0, 7, 0, 7, 7, 7, 7, 0, 7, 7, 0, 0, 0, 7], [7, 7, 0, 0, 7, 0, 7, 7, 0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 7, 7]] -> [[4, 4, 0, 4, 4, 0, 4, 4, 0, 4, 4, 4, 0, 4, 0, 0, 0, 0, 0, 0], [4, 4, 4, 4, 4, 0, 4, 4, 4, 4, 4, 0, 4, 4, 4, 0, 0, 0, 0, 4], [4, 4, 0, 4, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0], [4, 4, 4, 4, 0, 0, 0, 0, 4, 4, 0, 4, 0, 4, 4, 0, 0, 0, 0, 4], [0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 4], [0, 4, 0, 0, 0, 4, 4, 0, 0, 4, 4, 4, 0, 4, 0, 4, 4, 4, 4, 0], [0, 4, 0, 0, 4, 0, 0, 0, 4, 4, 4, 0, 4, 0, 4, 4, 0, 0, 0, 4], [0, 4, 0, 4, 4, 0, 4, 0, 0, 4, 4, 4, 4, 0, 0, 0, 0, 0, 4, 4], [0, 4, 4, 4, 0, 4, 4, 4, 4, 0, 0, 4, 4, 4, 0, 4, 4, 4, 4, 4], [0, 4, 0, 0, 4, 4, 4, 0, 0, 4, 4, 0, 0, 4, 4, 0, 4, 4, 4, 4], [0, 4, 0, 0, 4, 0, 0, 4, 4, 0, 0, 0, 4, 0, 4, 0, 0, 4, 4, 4], [0, 4, 0, 0, 0, 4, 4, 4, 0, 0, 4, 4, 0, 0, 4, 0, 0, 0, 4, 0], [0, 4, 4, 4, 4, 4, 0, 4, 0, 4, 0, 0, 4, 0, 4, 4, 0, 0, 0, 4], [4, 0, 0, 0, 4, 0, 0, 4, 0, 4, 4, 0, 4, 4, 0, 0, 4, 0, 4, 0], [4, 0, 4, 4, 4, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 4, 0], [0, 4, 0, 0, 4, 4, 4, 4, 0, 4, 4, 4, 4, 0, 4, 4, 0, 0, 0, 0], [0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 4, 0, 4, 4, 4, 0], [0, 4, 4, 0, 0, 0, 4, 4, 0, 4, 0, 4, 0, 4, 4, 4, 4, 4, 0, 4], [0, 0, 0, 4, 0, 0, 4, 4, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 4, 0], [0, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0, 0, 0, 0, 4, 0, 4, 4, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing the causal function for some elements.\n[[0, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 6, 0, 0], [6, 0, 0, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6], [0, 0, 6, 6, 0, 6, 6, 0, 0, 0, 6, 0, 6, 6, 6, 0, 0, 0, 6, 6], [6, 0, 0, 6, 6, 0, 0, 6, 0, 6, 6, 0, 0, 0, 6, 0, 0, 0, 6, 0], [0, 6, 0, 0, 0, 6, 0, 6, 6, 6, 0, 6, 6, 6, 0, 0, 0, 0, 6, 0], [6, 0, 0, 0, 6, 6, 0, 6, 6, 0, 6, 6, 0, 6, 0, 6, 0, 0, 0, 0], [0, 6, 6, 6, 6, 6, 6, 0, 6, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 6], [6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0], [6, 6, 0, 6, 6, 0, 0, 0, 6, 0, 6, 6, 0, 0, 6, 0, 0, 0, 0, 6], [6, 6, 0, 6, 0, 6, 0, 6, 0, 0, 0, 6, 0, 0, 6, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 6, 6, 6, 6, 0], [6, 6, 0, 6, 6, 0, 6, 0, 0, 6, 0, 6, 6, 0, 0, 0, 0, 6, 6, 0], [6, 0, 6, 0, 6, 0, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 0, 0, 6, 6], [6, 0, 0, 0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 0, 0, 6, 6, 6, 6, 6], [6, 0, 6, 6, 0, 0, 6, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 0], [6, 0, 6, 0, 0, 6, 0, 6, 0, 0, 6, 6, 0, 0, 6, 6, 6, 0, 0, 0], [0, 0, 6, 0, 0, 6, 0, 6, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6, 0, 0], [6, 6, 0, 6, 6, 6, 0, 6, 0, 0, 6, 0, 0, 0, 6, 6, 6, 0, 6, 6], [6, 6, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0, 6, 0, 6, 6, 0, 0], [0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7], [7, 0, 0, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7, 0, 0, 7, 0, 7], [0, 0, 0, 7, 7, 0, 7, 0, 7, 7, 0, 7, 0, 0, 7, 7, 7, 7, 0, 0], [7, 0, 0, 7, 0, 7, 7, 0, 0, 7, 0, 0, 7, 0, 7, 7, 7, 7, 0, 0], [7, 0, 7, 7, 7, 7, 0, 7, 0, 0, 7, 7, 0, 0, 0, 7, 7, 0, 0, 0], [0, 0, 7, 7, 0, 7, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 0, 0, 0, 7], [7, 7, 0, 0, 7, 0, 0, 7, 7, 0, 7, 0, 7, 7, 0, 0, 7, 7, 7, 7], [0, 7, 7, 7, 7, 0, 7, 0, 0, 7, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0], [0, 7, 0, 7, 0, 0, 0, 0, 7, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7], [0, 7, 7, 0, 0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0], [7, 0, 7, 7, 0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0], [0, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 7, 0, 7, 0, 7, 7, 0, 7, 7], [0, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0, 7], [7, 7, 7, 7, 7, 7, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0], [7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 7, 0, 7, 0, 7, 7], [0, 0, 0, 7, 0, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7], [7, 7, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 7, 0, 7], [0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 7], [0, 0, 7, 0, 7, 7, 0, 7, 0, 7, 7, 7, 7, 0, 7, 7, 0, 0, 0, 7], [7, 7, 0, 0, 7, 0, 7, 7, 0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 7, 7]] -> ",
+                "test": {
+                    "input": [
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+                }
+            },
+            "Replicate 3": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 6, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 6, 0, 6, 6, 6, 6, 6, 0], [6, 0, 6, 0, 0, 0, 6, 6, 6, 6, 6, 0, 0, 0, 6, 6, 6, 6, 0, 0], [6, 6, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6, 6, 6, 0, 0, 0, 6, 0, 6], [6, 6, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 6, 0, 6, 6], [0, 0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 6, 6, 6, 0, 0, 0, 6, 6, 0], [6, 6, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 6, 6, 6, 0, 0, 6, 6, 0], [0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6, 6, 6, 0, 6, 6], [6, 6, 0, 0, 0, 6, 0, 0, 6, 6, 0, 0, 6, 0, 6, 6, 0, 0, 6, 6], [6, 6, 0, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6], [0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6], [0, 0, 6, 0, 6, 6, 6, 6, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 6], [6, 0, 0, 0, 6, 6, 6, 0, 6, 0, 6, 0, 6, 0, 0, 6, 6, 6, 6, 0], [0, 0, 0, 6, 0, 6, 0, 6, 0, 0, 0, 6, 6, 6, 0, 0, 0, 6, 0, 6], [0, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 0, 0, 6], [6, 6, 0, 0, 6, 6, 6, 6, 0, 6, 6, 0, 6, 0, 6, 6, 6, 0, 6, 0], [0, 0, 0, 0, 0, 0, 6, 0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 0, 0, 6], [6, 6, 6, 0, 6, 0, 0, 6, 6, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0], [0, 6, 0, 0, 0, 6, 0, 0, 0, 0, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6], [6, 0, 6, 0, 6, 6, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 0, 6, 0], [6, 0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 0, 0, 0, 6, 0], [0, 7, 0, 7, 7, 0, 7, 0, 0, 0, 7, 7, 7, 0, 7, 7, 7, 0, 7, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0], [0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7, 7, 7, 0, 0, 0, 7, 7, 7, 7], [7, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7, 7, 0, 0, 7, 7, 0], [7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 7, 0, 0], [7, 0, 7, 7, 7, 7, 0, 7, 0, 0, 7, 0, 7, 7, 0, 0, 7, 7, 7, 7], [7, 7, 0, 0, 0, 7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0], [7, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 7, 7, 7, 7, 0, 7, 7, 0, 0], [7, 7, 0, 7, 7, 0, 7, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 0], [7, 0, 0, 7, 7, 0, 7, 0, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7, 0, 7], [0, 7, 7, 7, 7, 0, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 0, 7, 7, 0], [7, 7, 0, 7, 7, 7, 7, 7, 0, 0, 7, 7, 0, 0, 7, 0, 7, 0, 7, 7], [0, 7, 0, 0, 0, 0, 7, 7, 7, 0, 7, 7, 7, 7, 0, 0, 0, 7, 0, 0], [7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7], [0, 0, 7, 0, 7, 7, 0, 7, 7, 7, 0, 7, 0, 0, 0, 7, 7, 7, 0, 0], [0, 7, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 0, 0], [7, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 0, 7, 7], [0, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7, 0, 0, 0, 7, 7, 0, 7, 7], [7, 7, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 0, 7, 0, 7, 7, 0, 0]] -> [[0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 4, 0, 0], [4, 0, 4, 0, 0, 0, 4, 4, 4, 4, 0, 0, 0, 0, 4, 0, 4, 4, 0, 0], [4, 0, 0, 0, 4, 0, 0, 0, 0, 4, 4, 0, 0, 4, 0, 0, 4, 0, 4, 0], [0, 0, 4, 0, 0, 4, 0, 4, 4, 4, 4, 4, 4, 0, 0, 0, 4, 4, 0, 4], [4, 0, 0, 4, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 0, 4, 0, 0, 4, 0], [0, 4, 4, 0, 4, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 4, 0, 0, 4], [4, 0, 4, 4, 0, 4, 0, 0, 4, 0, 4, 4, 0, 4, 0, 0, 0, 4, 0, 4], [0, 4, 0, 0, 4, 4, 4, 4, 0, 4, 0, 4, 0, 4, 0, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 4, 4, 4, 0, 4, 0, 0, 4, 0, 0, 0, 0, 4, 4, 4], [0, 0, 4, 4, 0, 4, 4, 0, 4, 0, 0, 0, 4, 4, 0, 4, 0, 4, 4, 4], [4, 0, 4, 4, 0, 4, 0, 4, 4, 4, 4, 0, 4, 0, 4, 0, 4, 4, 0, 0], [4, 4, 4, 4, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0], [4, 4, 0, 0, 4, 0, 4, 0, 0, 0, 4, 0, 4, 4, 4, 0, 4, 4, 4, 0], [0, 0, 0, 4, 4, 4, 0, 4, 4, 4, 4, 0, 0, 0, 4, 4, 4, 4, 0, 4], [0, 4, 4, 0, 4, 4, 0, 4, 0, 4, 4, 4, 4, 4, 4, 0, 0, 4, 0, 4], [0, 0, 4, 0, 4, 4, 4, 4, 4, 0, 0, 0, 4, 4, 4, 0, 0, 4, 0, 4], [4, 0, 4, 0, 0, 4, 4, 4, 4, 4, 4, 4, 0, 4, 4, 4, 4, 0, 0, 0], [4, 0, 4, 0, 0, 4, 4, 0, 0, 0, 0, 4, 0, 4, 0, 0, 0, 4, 0, 0], [4, 0, 0, 0, 0, 4, 4, 4, 0, 4, 0, 0, 4, 4, 4, 0, 0, 0, 0, 4], [0, 4, 0, 0, 0, 4, 4, 0, 4, 4, 4, 4, 4, 4, 4, 0, 4, 4, 4, 0]]\nExample input-output arrays:\n[[0, 6, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 6, 0, 6, 6, 6, 6, 6, 0], [6, 0, 6, 0, 0, 0, 6, 6, 6, 6, 6, 0, 0, 0, 6, 6, 6, 6, 0, 0], [6, 6, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6, 6, 6, 0, 0, 0, 6, 0, 6], [6, 6, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 6, 0, 6, 6], [0, 0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 6, 6, 6, 0, 0, 0, 6, 6, 0], [6, 6, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 6, 6, 6, 0, 0, 6, 6, 0], [0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6, 6, 6, 0, 6, 6], [6, 6, 0, 0, 0, 6, 0, 0, 6, 6, 0, 0, 6, 0, 6, 6, 0, 0, 6, 6], [6, 6, 0, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6], [0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6], [0, 0, 6, 0, 6, 6, 6, 6, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 6], [6, 0, 0, 0, 6, 6, 6, 0, 6, 0, 6, 0, 6, 0, 0, 6, 6, 6, 6, 0], [0, 0, 0, 6, 0, 6, 0, 6, 0, 0, 0, 6, 6, 6, 0, 0, 0, 6, 0, 6], [0, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 0, 0, 6], [6, 6, 0, 0, 6, 6, 6, 6, 0, 6, 6, 0, 6, 0, 6, 6, 6, 0, 6, 0], [0, 0, 0, 0, 0, 0, 6, 0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 0, 0, 6], [6, 6, 6, 0, 6, 0, 0, 6, 6, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0], [0, 6, 0, 0, 0, 6, 0, 0, 0, 0, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6], [6, 0, 6, 0, 6, 6, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 0, 6, 0], [6, 0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 0, 0, 0, 6, 0], [0, 7, 0, 7, 7, 0, 7, 0, 0, 0, 7, 7, 7, 0, 7, 7, 7, 0, 7, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0], [0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7, 7, 7, 0, 0, 0, 7, 7, 7, 7], [7, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7, 7, 0, 0, 7, 7, 0], [7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 7, 0, 0], [7, 0, 7, 7, 7, 7, 0, 7, 0, 0, 7, 0, 7, 7, 0, 0, 7, 7, 7, 7], [7, 7, 0, 0, 0, 7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0], [7, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 7, 7, 7, 7, 0, 7, 7, 0, 0], [7, 7, 0, 7, 7, 0, 7, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 0], [7, 0, 0, 7, 7, 0, 7, 0, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7, 0, 7], [0, 7, 7, 7, 7, 0, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 0, 7, 7, 0], [7, 7, 0, 7, 7, 7, 7, 7, 0, 0, 7, 7, 0, 0, 7, 0, 7, 0, 7, 7], [0, 7, 0, 0, 0, 0, 7, 7, 7, 0, 7, 7, 7, 7, 0, 0, 0, 7, 0, 0], [7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7], [0, 0, 7, 0, 7, 7, 0, 7, 7, 7, 0, 7, 0, 0, 0, 7, 7, 7, 0, 0], [0, 7, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 0, 0], [7, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 0, 7, 7], [0, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7, 0, 0, 0, 7, 7, 0, 7, 7], [7, 7, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 0, 7, 0, 7, 7, 0, 0]] -> [[0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 4, 0, 0], [4, 0, 4, 0, 0, 0, 4, 4, 4, 4, 0, 0, 0, 0, 4, 0, 4, 4, 0, 0], [4, 0, 0, 0, 4, 0, 0, 0, 0, 4, 4, 0, 0, 4, 0, 0, 4, 0, 4, 0], [0, 0, 4, 0, 0, 4, 0, 4, 4, 4, 4, 4, 4, 0, 0, 0, 4, 4, 0, 4], [4, 0, 0, 4, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 0, 4, 0, 0, 4, 0], [0, 4, 4, 0, 4, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 4, 0, 0, 4], [4, 0, 4, 4, 0, 4, 0, 0, 4, 0, 4, 4, 0, 4, 0, 0, 0, 4, 0, 4], [0, 4, 0, 0, 4, 4, 4, 4, 0, 4, 0, 4, 0, 4, 0, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 4, 4, 4, 0, 4, 0, 0, 4, 0, 0, 0, 0, 4, 4, 4], [0, 0, 4, 4, 0, 4, 4, 0, 4, 0, 0, 0, 4, 4, 0, 4, 0, 4, 4, 4], [4, 0, 4, 4, 0, 4, 0, 4, 4, 4, 4, 0, 4, 0, 4, 0, 4, 4, 0, 0], [4, 4, 4, 4, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0], [4, 4, 0, 0, 4, 0, 4, 0, 0, 0, 4, 0, 4, 4, 4, 0, 4, 4, 4, 0], [0, 0, 0, 4, 4, 4, 0, 4, 4, 4, 4, 0, 0, 0, 4, 4, 4, 4, 0, 4], [0, 4, 4, 0, 4, 4, 0, 4, 0, 4, 4, 4, 4, 4, 4, 0, 0, 4, 0, 4], [0, 0, 4, 0, 4, 4, 4, 4, 4, 0, 0, 0, 4, 4, 4, 0, 0, 4, 0, 4], [4, 0, 4, 0, 0, 4, 4, 4, 4, 4, 4, 4, 0, 4, 4, 4, 4, 0, 0, 0], [4, 0, 4, 0, 0, 4, 4, 0, 0, 0, 0, 4, 0, 4, 0, 0, 0, 4, 0, 0], [4, 0, 0, 0, 0, 4, 4, 4, 0, 4, 0, 0, 4, 4, 4, 0, 0, 0, 0, 4], [0, 4, 0, 0, 0, 4, 4, 0, 4, 4, 4, 4, 4, 4, 4, 0, 4, 4, 4, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 6, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 6, 0, 6, 6, 6, 6, 6, 0], [6, 0, 6, 0, 0, 0, 6, 6, 6, 6, 6, 0, 0, 0, 6, 6, 6, 6, 0, 0], [6, 6, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6, 6, 6, 0, 0, 0, 6, 0, 6], [6, 6, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 6, 0, 6, 6], [0, 0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 6, 6, 6, 0, 0, 0, 6, 6, 0], [6, 6, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 6, 6, 6, 0, 0, 6, 6, 0], [0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6, 6, 6, 0, 6, 6], [6, 6, 0, 0, 0, 6, 0, 0, 6, 6, 0, 0, 6, 0, 6, 6, 0, 0, 6, 6], [6, 6, 0, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6], [0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6], [0, 0, 6, 0, 6, 6, 6, 6, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 6], [6, 0, 0, 0, 6, 6, 6, 0, 6, 0, 6, 0, 6, 0, 0, 6, 6, 6, 6, 0], [0, 0, 0, 6, 0, 6, 0, 6, 0, 0, 0, 6, 6, 6, 0, 0, 0, 6, 0, 6], [0, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 0, 0, 6], [6, 6, 0, 0, 6, 6, 6, 6, 0, 6, 6, 0, 6, 0, 6, 6, 6, 0, 6, 0], [0, 0, 0, 0, 0, 0, 6, 0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 0, 0, 6], [6, 6, 6, 0, 6, 0, 0, 6, 6, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0], [0, 6, 0, 0, 0, 6, 0, 0, 0, 0, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6], [6, 0, 6, 0, 6, 6, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 0, 6, 0], [6, 0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 0, 0, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
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+                }
+            },
+            "Replicate 4": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 6, 0, 0, 6, 6, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 6, 6], [6, 0, 6, 0, 6, 0, 6, 6, 6, 0, 0, 6, 0, 6, 0, 0, 6, 0, 6, 0], [0, 6, 0, 6, 0, 6, 6, 0, 6, 0, 0, 6, 6, 6, 0, 6, 6, 0, 6, 6], [6, 0, 6, 0, 6, 6, 6, 0, 6, 0, 0, 6, 0, 6, 0, 6, 6, 0, 6, 6], [0, 0, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 6, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6], [0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 6, 0, 6, 6, 6, 0], [6, 0, 0, 6, 6, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0], [6, 6, 0, 6, 0, 0, 6, 0, 6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 0, 6], [0, 6, 6, 0, 6, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6, 6, 6, 0, 0, 6], [0, 6, 0, 0, 0, 0, 0, 6, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6, 0, 0], [6, 0, 6, 6, 6, 0, 0, 0, 0, 6, 0, 6, 0, 6, 0, 0, 6, 0, 6, 0], [6, 6, 0, 0, 0, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 6, 0, 6], [6, 0, 6, 6, 0, 0, 6, 6, 0, 6, 6, 6, 0, 0, 6, 0, 0, 6, 6, 6], [6, 6, 0, 6, 6, 0, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0], [0, 6, 6, 6, 6, 0, 6, 0, 0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 0, 0], [0, 0, 0, 6, 0, 0, 6, 6, 0, 0, 6, 0, 0, 0, 6, 0, 6, 0, 6, 6], [6, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6, 0, 0, 6, 6, 6, 6], [6, 6, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6], [6, 0, 6, 6, 6, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 0, 0], [7, 7, 7, 0, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 0, 0, 7, 0, 0, 0], [7, 7, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 7, 0, 0, 7, 7, 0, 7, 0], [7, 0, 7, 0, 0, 0, 0, 7, 7, 7, 7, 7, 0, 0, 7, 0, 7, 0, 0, 7], [0, 7, 0, 7, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 7, 0, 0, 0], [0, 7, 7, 7, 0, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 0], [7, 7, 7, 7, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 0, 7, 7, 0], [7, 7, 0, 7, 7, 0, 0, 0, 0, 7, 7, 0, 0, 7, 0, 7, 0, 7, 0, 0], [0, 7, 7, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0], [7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 7, 7, 7, 0, 0], [0, 0, 7, 0, 7, 0, 0, 0, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0, 7, 7], [7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 7, 7, 7], [7, 7, 0, 7, 7, 7, 0, 0, 0, 7, 7, 0, 7, 7, 0, 0, 7, 7, 0, 7], [0, 0, 7, 7, 0, 7, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 7, 7, 7, 7], [0, 7, 7, 0, 0, 7, 0, 0, 7, 7, 0, 7, 0, 7, 7, 7, 7, 0, 7, 7], [7, 0, 0, 0, 0, 7, 7, 7, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0], [7, 7, 0, 7, 7, 7, 0, 7, 0, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 7], [7, 7, 7, 7, 0, 7, 7, 0, 7, 7, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0], [0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 7, 0, 7, 7, 7, 0, 0, 0, 0, 0], [7, 0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7, 0, 7, 0, 7], [7, 0, 0, 7, 7, 7, 0, 0, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 0, 0]] -> [[4, 0, 4, 0, 0, 0, 0, 4, 4, 0, 0, 4, 4, 0, 4, 0, 0, 4, 4, 4], [0, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 4, 4, 4, 0, 4, 0, 0, 0, 0], [4, 4, 4, 4, 0, 4, 4, 4, 0, 4, 4, 0, 4, 4, 4, 4, 0, 0, 4, 0], [4, 4, 4, 4, 0, 4, 0, 0, 4, 0, 4, 4, 0, 4, 0, 0, 0, 0, 4, 4], [0, 4, 4, 4, 4, 0, 4, 4, 0, 0, 4, 4, 4, 0, 0, 0, 4, 4, 0, 0], [4, 0, 0, 4, 0, 0, 4, 4, 4, 0, 4, 4, 0, 0, 4, 0, 4, 0, 0, 4], [4, 4, 0, 0, 4, 0, 0, 4, 0, 4, 4, 4, 4, 4, 4, 4, 4, 0, 4, 0], [4, 4, 4, 4, 0, 4, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0], [0, 4, 4, 0, 4, 4, 0, 4, 0, 0, 0, 4, 4, 4, 4, 0, 4, 0, 0, 4], [0, 4, 0, 0, 0, 0, 0, 4, 0, 4, 4, 0, 4, 0, 0, 4, 4, 0, 4, 0], [4, 0, 4, 4, 0, 0, 0, 4, 0, 4, 0, 0, 4, 4, 0, 4, 0, 0, 4, 4], [0, 4, 4, 0, 0, 4, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 4, 4, 4], [4, 4, 4, 4, 0, 4, 4, 0, 0, 0, 4, 0, 4, 4, 4, 4, 4, 0, 4, 0], [4, 4, 0, 4, 0, 4, 4, 4, 4, 0, 4, 0, 0, 4, 0, 4, 4, 4, 0, 0], [0, 4, 0, 4, 4, 4, 0, 0, 0, 4, 4, 4, 4, 0, 4, 4, 0, 4, 4, 0], [4, 0, 4, 0, 0, 4, 4, 4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 4, 4, 4], [4, 4, 4, 0, 0, 4, 0, 4, 4, 4, 4, 0, 0, 0, 0, 4, 0, 0, 4, 4], [4, 0, 4, 0, 4, 4, 4, 4, 4, 0, 0, 4, 0, 0, 4, 0, 4, 4, 4, 4], [0, 4, 0, 4, 0, 4, 4, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 4, 0], [0, 0, 4, 0, 0, 4, 0, 0, 4, 4, 0, 4, 4, 0, 4, 4, 4, 0, 0, 0]]\nExample input-output arrays:\n[[0, 6, 0, 0, 6, 6, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 6, 6], [6, 0, 6, 0, 6, 0, 6, 6, 6, 0, 0, 6, 0, 6, 0, 0, 6, 0, 6, 0], [0, 6, 0, 6, 0, 6, 6, 0, 6, 0, 0, 6, 6, 6, 0, 6, 6, 0, 6, 6], [6, 0, 6, 0, 6, 6, 6, 0, 6, 0, 0, 6, 0, 6, 0, 6, 6, 0, 6, 6], [0, 0, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 6, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6], [0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 6, 0, 6, 6, 6, 0], [6, 0, 0, 6, 6, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0], [6, 6, 0, 6, 0, 0, 6, 0, 6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 0, 6], [0, 6, 6, 0, 6, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6, 6, 6, 0, 0, 6], [0, 6, 0, 0, 0, 0, 0, 6, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6, 0, 0], [6, 0, 6, 6, 6, 0, 0, 0, 0, 6, 0, 6, 0, 6, 0, 0, 6, 0, 6, 0], [6, 6, 0, 0, 0, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 6, 0, 6], [6, 0, 6, 6, 0, 0, 6, 6, 0, 6, 6, 6, 0, 0, 6, 0, 0, 6, 6, 6], [6, 6, 0, 6, 6, 0, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0], [0, 6, 6, 6, 6, 0, 6, 0, 0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 0, 0], [0, 0, 0, 6, 0, 0, 6, 6, 0, 0, 6, 0, 0, 0, 6, 0, 6, 0, 6, 6], [6, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6, 0, 0, 6, 6, 6, 6], [6, 6, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6], [6, 0, 6, 6, 6, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 0, 0], [7, 7, 7, 0, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 0, 0, 7, 0, 0, 0], [7, 7, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 7, 0, 0, 7, 7, 0, 7, 0], [7, 0, 7, 0, 0, 0, 0, 7, 7, 7, 7, 7, 0, 0, 7, 0, 7, 0, 0, 7], [0, 7, 0, 7, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 7, 0, 0, 0], [0, 7, 7, 7, 0, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 0], [7, 7, 7, 7, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 0, 7, 7, 0], [7, 7, 0, 7, 7, 0, 0, 0, 0, 7, 7, 0, 0, 7, 0, 7, 0, 7, 0, 0], [0, 7, 7, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0], [7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 7, 7, 7, 0, 0], [0, 0, 7, 0, 7, 0, 0, 0, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0, 7, 7], [7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 7, 7, 7], [7, 7, 0, 7, 7, 7, 0, 0, 0, 7, 7, 0, 7, 7, 0, 0, 7, 7, 0, 7], [0, 0, 7, 7, 0, 7, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 7, 7, 7, 7], [0, 7, 7, 0, 0, 7, 0, 0, 7, 7, 0, 7, 0, 7, 7, 7, 7, 0, 7, 7], [7, 0, 0, 0, 0, 7, 7, 7, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0], [7, 7, 0, 7, 7, 7, 0, 7, 0, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 7], [7, 7, 7, 7, 0, 7, 7, 0, 7, 7, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0], [0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 7, 0, 7, 7, 7, 0, 0, 0, 0, 0], [7, 0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7, 0, 7, 0, 7], [7, 0, 0, 7, 7, 7, 0, 0, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 0, 0]] -> [[4, 0, 4, 0, 0, 0, 0, 4, 4, 0, 0, 4, 4, 0, 4, 0, 0, 4, 4, 4], [0, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0, 4, 4, 4, 0, 4, 0, 0, 0, 0], [4, 4, 4, 4, 0, 4, 4, 4, 0, 4, 4, 0, 4, 4, 4, 4, 0, 0, 4, 0], [4, 4, 4, 4, 0, 4, 0, 0, 4, 0, 4, 4, 0, 4, 0, 0, 0, 0, 4, 4], [0, 4, 4, 4, 4, 0, 4, 4, 0, 0, 4, 4, 4, 0, 0, 0, 4, 4, 0, 0], [4, 0, 0, 4, 0, 0, 4, 4, 4, 0, 4, 4, 0, 0, 4, 0, 4, 0, 0, 4], [4, 4, 0, 0, 4, 0, 0, 4, 0, 4, 4, 4, 4, 4, 4, 4, 4, 0, 4, 0], [4, 4, 4, 4, 0, 4, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0], [0, 4, 4, 0, 4, 4, 0, 4, 0, 0, 0, 4, 4, 4, 4, 0, 4, 0, 0, 4], [0, 4, 0, 0, 0, 0, 0, 4, 0, 4, 4, 0, 4, 0, 0, 4, 4, 0, 4, 0], [4, 0, 4, 4, 0, 0, 0, 4, 0, 4, 0, 0, 4, 4, 0, 4, 0, 0, 4, 4], [0, 4, 4, 0, 0, 4, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 4, 4, 4], [4, 4, 4, 4, 0, 4, 4, 0, 0, 0, 4, 0, 4, 4, 4, 4, 4, 0, 4, 0], [4, 4, 0, 4, 0, 4, 4, 4, 4, 0, 4, 0, 0, 4, 0, 4, 4, 4, 0, 0], [0, 4, 0, 4, 4, 4, 0, 0, 0, 4, 4, 4, 4, 0, 4, 4, 0, 4, 4, 0], [4, 0, 4, 0, 0, 4, 4, 4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 4, 4, 4], [4, 4, 4, 0, 0, 4, 0, 4, 4, 4, 4, 0, 0, 0, 0, 4, 0, 0, 4, 4], [4, 0, 4, 0, 4, 4, 4, 4, 4, 0, 0, 4, 0, 0, 4, 0, 4, 4, 4, 4], [0, 4, 0, 4, 0, 4, 4, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 4, 0], [0, 0, 4, 0, 0, 4, 0, 0, 4, 4, 0, 4, 4, 0, 4, 4, 4, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 6, 0, 0, 6, 6, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 6, 6], [6, 0, 6, 0, 6, 0, 6, 6, 6, 0, 0, 6, 0, 6, 0, 0, 6, 0, 6, 0], [0, 6, 0, 6, 0, 6, 6, 0, 6, 0, 0, 6, 6, 6, 0, 6, 6, 0, 6, 6], [6, 0, 6, 0, 6, 6, 6, 0, 6, 0, 0, 6, 0, 6, 0, 6, 6, 0, 6, 6], [0, 0, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 6, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6], [0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 6, 0, 6, 6, 6, 0], [6, 0, 0, 6, 6, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0], [6, 6, 0, 6, 0, 0, 6, 0, 6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 0, 6], [0, 6, 6, 0, 6, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6, 6, 6, 0, 0, 6], [0, 6, 0, 0, 0, 0, 0, 6, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6, 0, 0], [6, 0, 6, 6, 6, 0, 0, 0, 0, 6, 0, 6, 0, 6, 0, 0, 6, 0, 6, 0], [6, 6, 0, 0, 0, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 6, 0, 6], [6, 0, 6, 6, 0, 0, 6, 6, 0, 6, 6, 6, 0, 0, 6, 0, 0, 6, 6, 6], [6, 6, 0, 6, 6, 0, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0], [0, 6, 6, 6, 6, 0, 6, 0, 0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 0, 0], [0, 0, 0, 6, 0, 0, 6, 6, 0, 0, 6, 0, 0, 0, 6, 0, 6, 0, 6, 6], [6, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6, 0, 0, 6, 6, 6, 6], [6, 6, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6], [6, 0, 6, 6, 6, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 0, 0], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7]] -> ",
+                "test": {
+                    "input": [
+                        [
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+        "L1": {
+            "Replicate 0": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[9, 9, 0, 0, 9, 0, 0, 0, 9, 9], [9, 9, 9, 9, 0, 9, 0, 9, 9, 0], [0, 0, 9, 9, 0, 9, 0, 0, 0, 0], [0, 9, 0, 0, 0, 9, 9, 0, 9, 0], [9, 9, 9, 9, 0, 9, 0, 9, 9, 0], [0, 0, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 0, 9, 9, 9, 0, 0, 0, 9], [0, 0, 9, 9, 9, 0, 0, 9, 9, 0], [0, 9, 0, 9, 0, 0, 0, 0, 9, 9], [9, 0, 0, 0, 9, 9, 9, 9, 9, 9], [3, 3, 0, 0, 0, 3, 3, 3, 0, 3], [0, 0, 0, 0, 3, 3, 3, 0, 3, 3], [0, 0, 3, 0, 0, 3, 0, 0, 0, 0], [0, 3, 0, 3, 0, 0, 0, 3, 3, 3], [0, 0, 0, 3, 0, 3, 3, 0, 0, 0], [3, 3, 3, 0, 0, 0, 0, 3, 3, 0], [3, 0, 3, 0, 0, 0, 3, 3, 3, 3], [0, 0, 0, 3, 3, 0, 3, 0, 3, 3], [0, 3, 0, 0, 3, 0, 3, 3, 3, 0], [3, 3, 3, 0, 0, 3, 3, 0, 0, 3]] -> [[6, 6, 0, 0, 0, 6, 0, 6, 0, 6], [0, 6, 0, 6, 0, 6, 0, 6, 6, 6], [0, 0, 6, 6, 0, 6, 0, 0, 0, 0], [0, 6, 0, 6, 0, 6, 0, 6, 6, 6], [0, 6, 0, 6, 0, 6, 0, 6, 0, 0], [0, 6, 6, 6, 0, 6, 0, 6, 6, 6], [6, 6, 0, 6, 0, 6, 0, 6, 0, 6], [0, 0, 0, 6, 6, 0, 0, 6, 6, 6], [0, 6, 0, 6, 0, 0, 0, 6, 6, 6], [6, 6, 0, 0, 0, 6, 6, 6, 0, 6]]\nExample input-output arrays:\n[[0, 9, 9, 0, 9, 9, 9, 0, 9, 9], [0, 9, 9, 9, 9, 9, 9, 0, 0, 9], [9, 9, 0, 9, 9, 9, 0, 0, 9, 0], [9, 0, 9, 9, 0, 9, 0, 9, 0, 9], [9, 0, 0, 0, 9, 9, 9, 0, 0, 0], [0, 0, 0, 9, 9, 9, 9, 0, 9, 9], [0, 9, 9, 9, 0, 0, 9, 9, 0, 0], [0, 0, 9, 9, 0, 0, 9, 0, 9, 0], [9, 9, 0, 0, 9, 0, 9, 0, 9, 9], [0, 0, 0, 0, 9, 9, 9, 9, 0, 0], [3, 3, 0, 0, 0, 0, 0, 3, 0, 0], [0, 3, 0, 0, 3, 3, 0, 3, 0, 0], [3, 3, 0, 0, 0, 0, 0, 3, 3, 0], [3, 3, 0, 3, 3, 0, 3, 0, 0, 3], [0, 0, 3, 0, 0, 0, 0, 3, 0, 0], [3, 0, 3, 0, 0, 0, 3, 0, 3, 3], [0, 0, 3, 0, 0, 0, 0, 3, 3, 0], [3, 0, 0, 3, 3, 3, 3, 0, 3, 3], [0, 0, 0, 3, 3, 0, 0, 3, 3, 3], [3, 0, 3, 3, 0, 3, 0, 0, 0, 3]] -> [[0, 6, 0, 0, 0, 6, 0, 6, 0, 6], [0, 6, 0, 6, 6, 6, 0, 6, 0, 6], [6, 6, 0, 6, 0, 6, 0, 6, 6, 0], [6, 6, 0, 6, 0, 6, 0, 6, 0, 6], [0, 0, 0, 0, 0, 6, 0, 6, 0, 0], [0, 0, 0, 6, 0, 6, 6, 0, 6, 6], [0, 6, 6, 6, 0, 0, 0, 6, 0, 0], [0, 0, 0, 6, 0, 6, 6, 0, 6, 6], [0, 6, 0, 6, 6, 0, 0, 6, 6, 6], [0, 0, 0, 6, 0, 6, 0, 6, 0, 6]]\nExample input-output arrays:\n[[0, 0, 0, 0, 9, 0, 0, 9, 9, 9], [9, 9, 0, 0, 0, 9, 9, 9, 0, 0], [0, 0, 0, 9, 9, 9, 9, 0, 0, 9], [0, 9, 0, 9, 9, 0, 0, 0, 0, 9], [0, 9, 0, 9, 9, 0, 9, 9, 0, 9], [0, 9, 9, 9, 9, 9, 0, 9, 0, 0], [0, 9, 0, 9, 9, 0, 9, 0, 0, 0], [9, 0, 9, 0, 9, 0, 0, 0, 9, 9], [9, 9, 9, 0, 9, 9, 0, 0, 9, 9], [0, 0, 0, 0, 0, 9, 9, 9, 0, 0], [0, 3, 3, 3, 0, 0, 3, 3, 3, 0], [0, 3, 3, 0, 3, 0, 3, 3, 0, 3], [0, 3, 0, 3, 3, 3, 0, 0, 0, 3], [0, 3, 3, 3, 3, 3, 3, 3, 3, 0], [3, 0, 3, 0, 0, 0, 3, 0, 3, 0], [3, 3, 3, 0, 3, 3, 0, 0, 0, 0], [0, 0, 3, 3, 3, 0, 0, 0, 3, 0], [0, 3, 3, 0, 0, 0, 0, 3, 3, 3], [3, 3, 3, 0, 3, 0, 0, 0, 0, 0], [3, 3, 3, 3, 0, 0, 0, 0, 0, 0]] -> [[0, 6, 0, 6, 0, 0, 0, 6, 6, 6], [0, 6, 0, 0, 0, 6, 6, 6, 0, 6], [0, 6, 0, 6, 6, 6, 0, 0, 0, 6], [0, 6, 0, 6, 6, 6, 0, 6, 0, 6], [0, 6, 0, 6, 0, 0, 6, 6, 0, 6], [0, 6, 6, 6, 6, 6, 0, 6, 0, 0], [0, 6, 0, 6, 6, 0, 0, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 6, 6, 6], [6, 6, 6, 0, 6, 6, 0, 0, 0, 6], [0, 6, 0, 6, 0, 6, 0, 6, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 0, 0, 0, 5, 0, 0, 5, 5, 5], [5, 5, 0, 0, 0, 5, 5, 5, 0, 0], [0, 0, 0, 5, 5, 5, 5, 0, 0, 5], [0, 5, 0, 5, 5, 0, 0, 0, 0, 5], [0, 5, 0, 5, 5, 0, 5, 5, 0, 5], [0, 5, 5, 5, 5, 5, 0, 5, 0, 0], [0, 5, 0, 5, 5, 0, 5, 0, 0, 0], [5, 0, 5, 0, 5, 0, 0, 0, 5, 5], [5, 5, 5, 0, 5, 5, 0, 0, 5, 5], [0, 0, 0, 0, 0, 5, 5, 5, 0, 0], [0, 3, 3, 3, 0, 0, 3, 3, 3, 0], [0, 3, 3, 0, 3, 0, 3, 3, 0, 3], [0, 3, 0, 3, 3, 3, 0, 0, 0, 3], [0, 3, 3, 3, 3, 3, 3, 3, 3, 0], [3, 0, 3, 0, 0, 0, 3, 0, 3, 0], [3, 3, 3, 0, 3, 3, 0, 0, 0, 0], [0, 0, 3, 3, 3, 0, 0, 0, 3, 0], [0, 3, 3, 0, 0, 0, 0, 3, 3, 3], [3, 3, 3, 0, 3, 0, 0, 0, 0, 0], [3, 3, 3, 3, 0, 0, 0, 0, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            5,
+                            0,
+                            0,
+                            5,
+                            5,
+                            5
+                        ],
+                        [
+                            5,
+                            5,
+                            0,
+                            0,
+                            0,
+                            5,
+                            5,
+                            5,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            5,
+                            5,
+                            5,
+                            5,
+                            0,
+                            0,
+                            5
+                        ],
+                        [
+                            0,
+                            5,
+                            0,
+                            5,
+                            5,
+                            0,
+                            0,
+                            0,
+                            0,
+                            5
+                        ],
+                        [
+                            0,
+                            5,
+                            0,
+                            5,
+                            5,
+                            0,
+                            5,
+                            5,
+                            0,
+                            5
+                        ],
+                        [
+                            0,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            0,
+                            5,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            5,
+                            0,
+                            5,
+                            5,
+                            0,
+                            5,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            5,
+                            0,
+                            5,
+                            0,
+                            5,
+                            0,
+                            0,
+                            0,
+                            5,
+                            5
+                        ],
+                        [
+                            5,
+                            5,
+                            5,
+                            0,
+                            5,
+                            5,
+                            0,
+                            0,
+                            5,
+                            5
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            5,
+                            5,
+                            5,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0
+                        ],
+                        [
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3
+                        ],
+                        [
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3
+                        ],
+                        [
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0
+                        ],
+                        [
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0
+                        ],
+                        [
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ]
+                    ],
+                    "output": [
+                        [
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            0,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0,
+                            6,
+                            6,
+                            0,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            6,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0,
+                            0,
+                            0,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0
+                        ]
+                    ]
+                }
+            },
+            "Replicate 1": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 0, 0, 9, 0, 0, 9, 9, 9], [9, 9, 0, 0, 0, 9, 9, 9, 0, 0], [0, 0, 0, 9, 9, 9, 9, 0, 0, 9], [0, 9, 0, 9, 9, 0, 0, 0, 0, 9], [0, 9, 0, 9, 9, 0, 9, 9, 0, 9], [0, 9, 9, 9, 9, 9, 0, 9, 0, 0], [0, 9, 0, 9, 9, 0, 9, 0, 0, 0], [9, 0, 9, 0, 9, 0, 0, 0, 9, 9], [9, 9, 9, 0, 9, 9, 0, 0, 9, 9], [0, 0, 0, 0, 0, 9, 9, 9, 0, 0], [0, 3, 3, 3, 0, 0, 3, 3, 3, 0], [0, 3, 3, 0, 3, 0, 3, 3, 0, 3], [0, 3, 0, 3, 3, 3, 0, 0, 0, 3], [0, 3, 3, 3, 3, 3, 3, 3, 3, 0], [3, 0, 3, 0, 0, 0, 3, 0, 3, 0], [3, 3, 3, 0, 3, 3, 0, 0, 0, 0], [0, 0, 3, 3, 3, 0, 0, 0, 3, 0], [0, 3, 3, 0, 0, 0, 0, 3, 3, 3], [3, 3, 3, 0, 3, 0, 0, 0, 0, 0], [3, 3, 3, 3, 0, 0, 0, 0, 0, 0]] -> [[0, 6, 0, 6, 0, 0, 0, 6, 6, 6], [0, 6, 0, 0, 0, 6, 6, 6, 0, 6], [0, 6, 0, 6, 6, 6, 0, 0, 0, 6], [0, 6, 0, 6, 6, 6, 0, 6, 0, 6], [0, 6, 0, 6, 0, 0, 6, 6, 0, 6], [0, 6, 6, 6, 6, 6, 0, 6, 0, 0], [0, 6, 0, 6, 6, 0, 0, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 6, 6, 6], [6, 6, 6, 0, 6, 6, 0, 0, 0, 6], [0, 6, 0, 6, 0, 6, 0, 6, 0, 0]]\nExample input-output arrays:\n[[0, 0, 9, 0, 9, 9, 0, 0, 9, 9], [9, 9, 0, 9, 0, 9, 9, 0, 0, 9], [0, 0, 0, 9, 0, 9, 9, 0, 9, 9], [9, 0, 0, 0, 9, 9, 9, 0, 0, 9], [9, 0, 9, 0, 9, 9, 9, 0, 9, 0], [9, 9, 0, 9, 0, 9, 0, 9, 0, 9], [0, 0, 9, 9, 0, 9, 9, 0, 0, 0], [0, 0, 0, 9, 0, 0, 9, 0, 9, 9], [9, 9, 0, 9, 9, 0, 9, 0, 0, 0], [0, 9, 0, 0, 9, 9, 9, 0, 0, 0], [3, 0, 0, 3, 3, 0, 3, 0, 3, 3], [3, 3, 3, 0, 3, 3, 3, 0, 0, 3], [3, 3, 0, 3, 0, 3, 0, 3, 3, 0], [3, 3, 3, 0, 0, 0, 0, 0, 3, 3], [0, 0, 0, 0, 0, 0, 0, 0, 3, 0], [0, 0, 3, 0, 0, 3, 0, 0, 3, 3], [0, 3, 3, 3, 3, 0, 3, 0, 3, 0], [3, 0, 0, 3, 3, 0, 0, 0, 0, 3], [3, 3, 0, 3, 3, 0, 0, 3, 3, 0], [3, 3, 0, 0, 3, 0, 0, 0, 3, 0]] -> [[0, 0, 0, 6, 6, 6, 0, 0, 6, 6], [6, 6, 0, 6, 0, 6, 6, 0, 0, 6], [0, 6, 0, 6, 0, 6, 0, 6, 6, 6], [6, 6, 0, 0, 0, 6, 0, 0, 0, 6], [0, 0, 0, 0, 0, 6, 0, 0, 6, 0], [0, 6, 0, 6, 0, 6, 0, 6, 0, 6], [0, 6, 6, 6, 0, 6, 6, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0, 0, 6], [6, 6, 0, 6, 6, 0, 0, 6, 0, 0], [0, 6, 0, 0, 6, 6, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 9, 0, 9, 9, 0, 0, 9, 0, 0], [9, 0, 0, 0, 9, 9, 9, 9, 0, 9], [9, 9, 9, 0, 9, 0, 9, 0, 9, 0], [9, 9, 9, 0, 9, 0, 0, 0, 9, 0], [0, 0, 0, 0, 0, 0, 9, 0, 0, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 0], [9, 9, 0, 0, 0, 0, 0, 9, 9, 9], [9, 9, 0, 9, 9, 0, 9, 9, 0, 9], [0, 0, 0, 9, 9, 0, 0, 0, 9, 9], [0, 0, 9, 0, 0, 0, 0, 9, 9, 9], [3, 0, 0, 0, 0, 3, 3, 3, 3, 0], [3, 0, 0, 0, 0, 3, 3, 0, 3, 3], [3, 0, 0, 3, 0, 0, 3, 3, 0, 0], [3, 0, 3, 0, 3, 0, 0, 3, 3, 0], [0, 0, 3, 0, 3, 3, 0, 3, 0, 3], [0, 3, 0, 0, 3, 3, 0, 0, 3, 0], [3, 0, 3, 3, 3, 0, 3, 0, 3, 3], [3, 0, 3, 0, 0, 3, 3, 0, 3, 3], [3, 3, 3, 3, 0, 3, 3, 3, 0, 0], [0, 0, 0, 0, 0, 3, 3, 3, 0, 0]] -> [[0, 6, 0, 6, 0, 6, 0, 6, 0, 0], [6, 0, 0, 0, 0, 6, 6, 6, 0, 6], [6, 6, 0, 6, 0, 0, 6, 6, 0, 0], [6, 6, 6, 0, 6, 0, 0, 6, 6, 0], [0, 0, 0, 0, 0, 6, 0, 6, 0, 6], [0, 6, 0, 6, 6, 6, 0, 6, 6, 0], [6, 6, 0, 6, 0, 0, 0, 6, 6, 6], [6, 6, 0, 6, 0, 6, 6, 6, 0, 6], [0, 6, 0, 6, 0, 6, 0, 6, 0, 6], [0, 0, 0, 0, 0, 6, 0, 6, 0, 6]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 1, 0, 1, 1, 0, 0, 1, 0, 0], [1, 0, 0, 0, 1, 1, 1, 1, 0, 1], [1, 1, 1, 0, 1, 0, 1, 0, 1, 0], [1, 1, 1, 0, 1, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 1, 0, 0, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 0], [1, 1, 0, 0, 0, 0, 0, 1, 1, 1], [1, 1, 0, 1, 1, 0, 1, 1, 0, 1], [0, 0, 0, 1, 1, 0, 0, 0, 1, 1], [0, 0, 1, 0, 0, 0, 0, 1, 1, 1], [3, 0, 0, 0, 0, 3, 3, 3, 3, 0], [3, 0, 0, 0, 0, 3, 3, 0, 3, 3], [3, 0, 0, 3, 0, 0, 3, 3, 0, 0], [3, 0, 3, 0, 3, 0, 0, 3, 3, 0], [0, 0, 3, 0, 3, 3, 0, 3, 0, 3], [0, 3, 0, 0, 3, 3, 0, 0, 3, 0], [3, 0, 3, 3, 3, 0, 3, 0, 3, 3], [3, 0, 3, 0, 0, 3, 3, 0, 3, 3], [3, 3, 3, 3, 0, 3, 3, 3, 0, 0], [0, 0, 0, 0, 0, 3, 3, 3, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            0,
+                            1,
+                            0,
+                            1,
+                            1,
+                            0,
+                            0,
+                            1,
+                            0,
+                            0
+                        ],
+                        [
+                            1,
+                            0,
+                            0,
+                            0,
+                            1,
+                            1,
+                            1,
+                            1,
+                            0,
+                            1
+                        ],
+                        [
+                            1,
+                            1,
+                            1,
+                            0,
+                            1,
+                            0,
+                            1,
+                            0,
+                            1,
+                            0
+                        ],
+                        [
+                            1,
+                            1,
+                            1,
+                            0,
+                            1,
+                            0,
+                            0,
+                            0,
+                            1,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            1,
+                            0,
+                            0,
+                            1
+                        ],
+                        [
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            0
+                        ],
+                        [
+                            1,
+                            1,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            1,
+                            1,
+                            1
+                        ],
+                        [
+                            1,
+                            1,
+                            0,
+                            1,
+                            1,
+                            0,
+                            1,
+                            1,
+                            0,
+                            1
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            1,
+                            1,
+                            0,
+                            0,
+                            0,
+                            1,
+                            1
+                        ],
+                        [
+                            0,
+                            0,
+                            1,
+                            0,
+                            0,
+                            0,
+                            0,
+                            1,
+                            1,
+                            1
+                        ],
+                        [
+                            3,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0
+                        ],
+                        [
+                            3,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0
+                        ],
+                        [
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3
+                        ],
+                        [
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0
+                        ],
+                        [
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0
+                        ]
+                    ],
+                    "output": [
+                        [
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0
+                        ],
+                        [
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0,
+                            6,
+                            6,
+                            0,
+                            0
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0,
+                            6,
+                            6,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0
+                        ],
+                        [
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6
+                        ]
+                    ]
+                }
+            },
+            "Replicate 2": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 9, 0, 9, 9, 0, 0, 9, 0, 0], [9, 0, 0, 0, 9, 9, 9, 9, 0, 9], [9, 9, 9, 0, 9, 0, 9, 0, 9, 0], [9, 9, 9, 0, 9, 0, 0, 0, 9, 0], [0, 0, 0, 0, 0, 0, 9, 0, 0, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 0], [9, 9, 0, 0, 0, 0, 0, 9, 9, 9], [9, 9, 0, 9, 9, 0, 9, 9, 0, 9], [0, 0, 0, 9, 9, 0, 0, 0, 9, 9], [0, 0, 9, 0, 0, 0, 0, 9, 9, 9], [3, 0, 0, 0, 0, 3, 3, 3, 3, 0], [3, 0, 0, 0, 0, 3, 3, 0, 3, 3], [3, 0, 0, 3, 0, 0, 3, 3, 0, 0], [3, 0, 3, 0, 3, 0, 0, 3, 3, 0], [0, 0, 3, 0, 3, 3, 0, 3, 0, 3], [0, 3, 0, 0, 3, 3, 0, 0, 3, 0], [3, 0, 3, 3, 3, 0, 3, 0, 3, 3], [3, 0, 3, 0, 0, 3, 3, 0, 3, 3], [3, 3, 3, 3, 0, 3, 3, 3, 0, 0], [0, 0, 0, 0, 0, 3, 3, 3, 0, 0]] -> [[0, 6, 0, 6, 0, 6, 0, 6, 0, 0], [6, 0, 0, 0, 0, 6, 6, 6, 0, 6], [6, 6, 0, 6, 0, 0, 6, 6, 0, 0], [6, 6, 6, 0, 6, 0, 0, 6, 6, 0], [0, 0, 0, 0, 0, 6, 0, 6, 0, 6], [0, 6, 0, 6, 6, 6, 0, 6, 6, 0], [6, 6, 0, 6, 0, 0, 0, 6, 6, 6], [6, 6, 0, 6, 0, 6, 6, 6, 0, 6], [0, 6, 0, 6, 0, 6, 0, 6, 0, 6], [0, 0, 0, 0, 0, 6, 0, 6, 0, 6]]\nExample input-output arrays:\n[[0, 0, 9, 0, 9, 9, 0, 0, 9, 9], [9, 9, 0, 9, 0, 9, 9, 0, 0, 9], [0, 0, 0, 9, 0, 9, 9, 0, 9, 9], [9, 0, 0, 0, 9, 9, 9, 0, 0, 9], [9, 0, 9, 0, 9, 9, 9, 0, 9, 0], [9, 9, 0, 9, 0, 9, 0, 9, 0, 9], [0, 0, 9, 9, 0, 9, 9, 0, 0, 0], [0, 0, 0, 9, 0, 0, 9, 0, 9, 9], [9, 9, 0, 9, 9, 0, 9, 0, 0, 0], [0, 9, 0, 0, 9, 9, 9, 0, 0, 0], [3, 0, 0, 3, 3, 0, 3, 0, 3, 3], [3, 3, 3, 0, 3, 3, 3, 0, 0, 3], [3, 3, 0, 3, 0, 3, 0, 3, 3, 0], [3, 3, 3, 0, 0, 0, 0, 0, 3, 3], [0, 0, 0, 0, 0, 0, 0, 0, 3, 0], [0, 0, 3, 0, 0, 3, 0, 0, 3, 3], [0, 3, 3, 3, 3, 0, 3, 0, 3, 0], [3, 0, 0, 3, 3, 0, 0, 0, 0, 3], [3, 3, 0, 3, 3, 0, 0, 3, 3, 0], [3, 3, 0, 0, 3, 0, 0, 0, 3, 0]] -> [[0, 0, 0, 6, 6, 6, 0, 0, 6, 6], [6, 6, 0, 6, 0, 6, 6, 0, 0, 6], [0, 6, 0, 6, 0, 6, 0, 6, 6, 6], [6, 6, 0, 0, 0, 6, 0, 0, 0, 6], [0, 0, 0, 0, 0, 6, 0, 0, 6, 0], [0, 6, 0, 6, 0, 6, 0, 6, 0, 6], [0, 6, 6, 6, 0, 6, 6, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0, 0, 6], [6, 6, 0, 6, 6, 0, 0, 6, 0, 0], [0, 6, 0, 0, 6, 6, 0, 0, 0, 0]]\nExample input-output arrays:\n[[9, 9, 0, 0, 9, 0, 0, 0, 9, 9], [9, 9, 9, 9, 0, 9, 0, 9, 9, 0], [0, 0, 9, 9, 0, 9, 0, 0, 0, 0], [0, 9, 0, 0, 0, 9, 9, 0, 9, 0], [9, 9, 9, 9, 0, 9, 0, 9, 9, 0], [0, 0, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 0, 9, 9, 9, 0, 0, 0, 9], [0, 0, 9, 9, 9, 0, 0, 9, 9, 0], [0, 9, 0, 9, 0, 0, 0, 0, 9, 9], [9, 0, 0, 0, 9, 9, 9, 9, 9, 9], [3, 3, 0, 0, 0, 3, 3, 3, 0, 3], [0, 0, 0, 0, 3, 3, 3, 0, 3, 3], [0, 0, 3, 0, 0, 3, 0, 0, 0, 0], [0, 3, 0, 3, 0, 0, 0, 3, 3, 3], [0, 0, 0, 3, 0, 3, 3, 0, 0, 0], [3, 3, 3, 0, 0, 0, 0, 3, 3, 0], [3, 0, 3, 0, 0, 0, 3, 3, 3, 3], [0, 0, 0, 3, 3, 0, 3, 0, 3, 3], [0, 3, 0, 0, 3, 0, 3, 3, 3, 0], [3, 3, 3, 0, 0, 3, 3, 0, 0, 3]] -> [[6, 6, 0, 0, 0, 6, 0, 6, 0, 6], [0, 6, 0, 6, 0, 6, 0, 6, 6, 6], [0, 0, 6, 6, 0, 6, 0, 0, 0, 0], [0, 6, 0, 6, 0, 6, 0, 6, 6, 6], [0, 6, 0, 6, 0, 6, 0, 6, 0, 0], [0, 6, 6, 6, 0, 6, 0, 6, 6, 6], [6, 6, 0, 6, 0, 6, 0, 6, 0, 6], [0, 0, 0, 6, 6, 0, 0, 6, 6, 6], [0, 6, 0, 6, 0, 0, 0, 6, 6, 6], [6, 6, 0, 0, 0, 6, 6, 6, 0, 6]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [0, 0, 0, 0, 0, 3, 0, 0, 0, 0], [0, 0, 3, 3, 0, 3, 0, 0, 0, 0], [3, 0, 3, 0, 3, 0, 3, 0, 0, 0], [3, 0, 0, 0, 3, 0, 0, 3, 0, 0], [0, 0, 0, 3, 0, 3, 3, 3, 0, 3], [3, 0, 3, 0, 0, 0, 3, 3, 0, 0], [3, 3, 0, 0, 0, 3, 3, 3, 0, 3], [3, 0, 3, 0, 3, 0, 3, 3, 3, 3], [3, 3, 0, 0, 0, 3, 0, 3, 0, 0], [0, 3, 3, 3, 3, 3, 3, 3, 3, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9
+                        ],
+                        [
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9
+                        ],
+                        [
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9
+                        ],
+                        [
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9
+                        ],
+                        [
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9
+                        ],
+                        [
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9
+                        ],
+                        [
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9
+                        ],
+                        [
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9
+                        ],
+                        [
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9
+                        ],
+                        [
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3
+                        ],
+                        [
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0
+                        ],
+                        [
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3
+                        ],
+                        [
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0
+                        ]
+                    ],
+                    "output": [
+                        [
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ]
+                    ]
+                }
+            },
+            "Replicate 3": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 9, 0, 9, 9, 0, 0, 9, 9], [9, 9, 0, 9, 0, 9, 9, 0, 0, 9], [0, 0, 0, 9, 0, 9, 9, 0, 9, 9], [9, 0, 0, 0, 9, 9, 9, 0, 0, 9], [9, 0, 9, 0, 9, 9, 9, 0, 9, 0], [9, 9, 0, 9, 0, 9, 0, 9, 0, 9], [0, 0, 9, 9, 0, 9, 9, 0, 0, 0], [0, 0, 0, 9, 0, 0, 9, 0, 9, 9], [9, 9, 0, 9, 9, 0, 9, 0, 0, 0], [0, 9, 0, 0, 9, 9, 9, 0, 0, 0], [3, 0, 0, 3, 3, 0, 3, 0, 3, 3], [3, 3, 3, 0, 3, 3, 3, 0, 0, 3], [3, 3, 0, 3, 0, 3, 0, 3, 3, 0], [3, 3, 3, 0, 0, 0, 0, 0, 3, 3], [0, 0, 0, 0, 0, 0, 0, 0, 3, 0], [0, 0, 3, 0, 0, 3, 0, 0, 3, 3], [0, 3, 3, 3, 3, 0, 3, 0, 3, 0], [3, 0, 0, 3, 3, 0, 0, 0, 0, 3], [3, 3, 0, 3, 3, 0, 0, 3, 3, 0], [3, 3, 0, 0, 3, 0, 0, 0, 3, 0]] -> [[0, 0, 0, 6, 6, 6, 0, 0, 6, 6], [6, 6, 0, 6, 0, 6, 6, 0, 0, 6], [0, 6, 0, 6, 0, 6, 0, 6, 6, 6], [6, 6, 0, 0, 0, 6, 0, 0, 0, 6], [0, 0, 0, 0, 0, 6, 0, 0, 6, 0], [0, 6, 0, 6, 0, 6, 0, 6, 0, 6], [0, 6, 6, 6, 0, 6, 6, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0, 0, 6], [6, 6, 0, 6, 6, 0, 0, 6, 0, 0], [0, 6, 0, 0, 6, 6, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 9, 9, 0, 9, 9, 9, 0, 9, 9], [0, 9, 9, 9, 9, 9, 9, 0, 0, 9], [9, 9, 0, 9, 9, 9, 0, 0, 9, 0], [9, 0, 9, 9, 0, 9, 0, 9, 0, 9], [9, 0, 0, 0, 9, 9, 9, 0, 0, 0], [0, 0, 0, 9, 9, 9, 9, 0, 9, 9], [0, 9, 9, 9, 0, 0, 9, 9, 0, 0], [0, 0, 9, 9, 0, 0, 9, 0, 9, 0], [9, 9, 0, 0, 9, 0, 9, 0, 9, 9], [0, 0, 0, 0, 9, 9, 9, 9, 0, 0], [3, 3, 0, 0, 0, 0, 0, 3, 0, 0], [0, 3, 0, 0, 3, 3, 0, 3, 0, 0], [3, 3, 0, 0, 0, 0, 0, 3, 3, 0], [3, 3, 0, 3, 3, 0, 3, 0, 0, 3], [0, 0, 3, 0, 0, 0, 0, 3, 0, 0], [3, 0, 3, 0, 0, 0, 3, 0, 3, 3], [0, 0, 3, 0, 0, 0, 0, 3, 3, 0], [3, 0, 0, 3, 3, 3, 3, 0, 3, 3], [0, 0, 0, 3, 3, 0, 0, 3, 3, 3], [3, 0, 3, 3, 0, 3, 0, 0, 0, 3]] -> [[0, 6, 0, 0, 0, 6, 0, 6, 0, 6], [0, 6, 0, 6, 6, 6, 0, 6, 0, 6], [6, 6, 0, 6, 0, 6, 0, 6, 6, 0], [6, 6, 0, 6, 0, 6, 0, 6, 0, 6], [0, 0, 0, 0, 0, 6, 0, 6, 0, 0], [0, 0, 0, 6, 0, 6, 6, 0, 6, 6], [0, 6, 6, 6, 0, 0, 0, 6, 0, 0], [0, 0, 0, 6, 0, 6, 6, 0, 6, 6], [0, 6, 0, 6, 6, 0, 0, 6, 6, 6], [0, 0, 0, 6, 0, 6, 0, 6, 0, 6]]\nExample input-output arrays:\n[[0, 9, 9, 0, 9, 9, 9, 0, 9, 9], [0, 9, 9, 9, 9, 9, 9, 0, 0, 9], [9, 9, 0, 9, 9, 9, 0, 0, 9, 0], [9, 0, 9, 9, 0, 9, 0, 9, 0, 9], [9, 0, 0, 0, 9, 9, 9, 0, 0, 0], [0, 0, 0, 9, 9, 9, 9, 0, 9, 9], [0, 9, 9, 9, 0, 0, 9, 9, 0, 0], [0, 0, 9, 9, 0, 0, 9, 0, 9, 0], [9, 9, 0, 0, 9, 0, 9, 0, 9, 9], [0, 0, 0, 0, 9, 9, 9, 9, 0, 0], [3, 3, 0, 0, 0, 0, 0, 3, 0, 0], [0, 3, 0, 0, 3, 3, 0, 3, 0, 0], [3, 3, 0, 0, 0, 0, 0, 3, 3, 0], [3, 3, 0, 3, 3, 0, 3, 0, 0, 3], [0, 0, 3, 0, 0, 0, 0, 3, 0, 0], [3, 0, 3, 0, 0, 0, 3, 0, 3, 3], [0, 0, 3, 0, 0, 0, 0, 3, 3, 0], [3, 0, 0, 3, 3, 3, 3, 0, 3, 3], [0, 0, 0, 3, 3, 0, 0, 3, 3, 3], [3, 0, 3, 3, 0, 3, 0, 0, 0, 3]] -> [[0, 6, 0, 0, 0, 6, 0, 6, 0, 6], [0, 6, 0, 6, 6, 6, 0, 6, 0, 6], [6, 6, 0, 6, 0, 6, 0, 6, 6, 0], [6, 6, 0, 6, 0, 6, 0, 6, 0, 6], [0, 0, 0, 0, 0, 6, 0, 6, 0, 0], [0, 0, 0, 6, 0, 6, 6, 0, 6, 6], [0, 6, 6, 6, 0, 0, 0, 6, 0, 0], [0, 0, 0, 6, 0, 6, 6, 0, 6, 6], [0, 6, 0, 6, 6, 0, 0, 6, 6, 6], [0, 0, 0, 6, 0, 6, 0, 6, 0, 6]]\nCounterfactual: Now imagine that we intervened on the previous input by changing the causal function for some elements.\n[[9, 0, 0, 9, 0, 0, 0, 9, 0, 0], [9, 0, 0, 0, 0, 0, 0, 9, 9, 0], [0, 0, 9, 0, 0, 0, 9, 9, 0, 9], [0, 9, 0, 0, 9, 0, 9, 0, 9, 0], [0, 9, 9, 9, 0, 0, 0, 9, 9, 9], [9, 9, 9, 0, 0, 0, 0, 9, 0, 0], [9, 0, 0, 0, 9, 9, 0, 0, 9, 9], [9, 9, 0, 0, 9, 9, 0, 9, 0, 9], [0, 0, 9, 9, 0, 9, 0, 9, 0, 0], [9, 9, 9, 9, 0, 0, 0, 0, 9, 9], [3, 3, 0, 0, 0, 3, 0, 3, 0, 3], [0, 0, 3, 3, 3, 3, 3, 3, 3, 0], [3, 0, 0, 0, 0, 0, 0, 3, 0, 0], [0, 0, 0, 3, 3, 3, 0, 0, 3, 3], [3, 0, 0, 0, 0, 3, 3, 3, 3, 3], [3, 0, 3, 0, 3, 3, 0, 3, 0, 3], [0, 3, 3, 0, 0, 0, 3, 0, 0, 3], [0, 3, 3, 3, 3, 3, 3, 3, 0, 0], [3, 3, 3, 3, 0, 3, 0, 0, 0, 0], [3, 0, 3, 3, 0, 0, 0, 3, 3, 3]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            9,
+                            0,
+                            0,
+                            9,
+                            0,
+                            0,
+                            0,
+                            9,
+                            0,
+                            0
+                        ],
+                        [
+                            9,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            9,
+                            9,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            9,
+                            0,
+                            0,
+                            0,
+                            9,
+                            9,
+                            0,
+                            9
+                        ],
+                        [
+                            0,
+                            9,
+                            0,
+                            0,
+                            9,
+                            0,
+                            9,
+                            0,
+                            9,
+                            0
+                        ],
+                        [
+                            0,
+                            9,
+                            9,
+                            9,
+                            0,
+                            0,
+                            0,
+                            9,
+                            9,
+                            9
+                        ],
+                        [
+                            9,
+                            9,
+                            9,
+                            0,
+                            0,
+                            0,
+                            0,
+                            9,
+                            0,
+                            0
+                        ],
+                        [
+                            9,
+                            0,
+                            0,
+                            0,
+                            9,
+                            9,
+                            0,
+                            0,
+                            9,
+                            9
+                        ],
+                        [
+                            9,
+                            9,
+                            0,
+                            0,
+                            9,
+                            9,
+                            0,
+                            9,
+                            0,
+                            9
+                        ],
+                        [
+                            0,
+                            0,
+                            9,
+                            9,
+                            0,
+                            9,
+                            0,
+                            9,
+                            0,
+                            0
+                        ],
+                        [
+                            9,
+                            9,
+                            9,
+                            9,
+                            0,
+                            0,
+                            0,
+                            0,
+                            9,
+                            9
+                        ],
+                        [
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0
+                        ],
+                        [
+                            3,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3
+                        ],
+                        [
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3
+                        ],
+                        [
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3
+                        ]
+                    ],
+                    "output": [
+                        [
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            0,
+                            6,
+                            6,
+                            6
+                        ]
+                    ]
+                }
+            },
+            "Replicate 4": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 0, 0, 9, 0, 0, 9, 9, 9], [9, 9, 0, 0, 0, 9, 9, 9, 0, 0], [0, 0, 0, 9, 9, 9, 9, 0, 0, 9], [0, 9, 0, 9, 9, 0, 0, 0, 0, 9], [0, 9, 0, 9, 9, 0, 9, 9, 0, 9], [0, 9, 9, 9, 9, 9, 0, 9, 0, 0], [0, 9, 0, 9, 9, 0, 9, 0, 0, 0], [9, 0, 9, 0, 9, 0, 0, 0, 9, 9], [9, 9, 9, 0, 9, 9, 0, 0, 9, 9], [0, 0, 0, 0, 0, 9, 9, 9, 0, 0], [0, 3, 3, 3, 0, 0, 3, 3, 3, 0], [0, 3, 3, 0, 3, 0, 3, 3, 0, 3], [0, 3, 0, 3, 3, 3, 0, 0, 0, 3], [0, 3, 3, 3, 3, 3, 3, 3, 3, 0], [3, 0, 3, 0, 0, 0, 3, 0, 3, 0], [3, 3, 3, 0, 3, 3, 0, 0, 0, 0], [0, 0, 3, 3, 3, 0, 0, 0, 3, 0], [0, 3, 3, 0, 0, 0, 0, 3, 3, 3], [3, 3, 3, 0, 3, 0, 0, 0, 0, 0], [3, 3, 3, 3, 0, 0, 0, 0, 0, 0]] -> [[0, 6, 0, 6, 0, 0, 0, 6, 6, 6], [0, 6, 0, 0, 0, 6, 6, 6, 0, 6], [0, 6, 0, 6, 6, 6, 0, 0, 0, 6], [0, 6, 0, 6, 6, 6, 0, 6, 0, 6], [0, 6, 0, 6, 0, 0, 6, 6, 0, 6], [0, 6, 6, 6, 6, 6, 0, 6, 0, 0], [0, 6, 0, 6, 6, 0, 0, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 6, 6, 6], [6, 6, 6, 0, 6, 6, 0, 0, 0, 6], [0, 6, 0, 6, 0, 6, 0, 6, 0, 0]]\nExample input-output arrays:\n[[0, 9, 9, 0, 9, 9, 9, 0, 9, 9], [0, 9, 9, 9, 9, 9, 9, 0, 0, 9], [9, 9, 0, 9, 9, 9, 0, 0, 9, 0], [9, 0, 9, 9, 0, 9, 0, 9, 0, 9], [9, 0, 0, 0, 9, 9, 9, 0, 0, 0], [0, 0, 0, 9, 9, 9, 9, 0, 9, 9], [0, 9, 9, 9, 0, 0, 9, 9, 0, 0], [0, 0, 9, 9, 0, 0, 9, 0, 9, 0], [9, 9, 0, 0, 9, 0, 9, 0, 9, 9], [0, 0, 0, 0, 9, 9, 9, 9, 0, 0], [3, 3, 0, 0, 0, 0, 0, 3, 0, 0], [0, 3, 0, 0, 3, 3, 0, 3, 0, 0], [3, 3, 0, 0, 0, 0, 0, 3, 3, 0], [3, 3, 0, 3, 3, 0, 3, 0, 0, 3], [0, 0, 3, 0, 0, 0, 0, 3, 0, 0], [3, 0, 3, 0, 0, 0, 3, 0, 3, 3], [0, 0, 3, 0, 0, 0, 0, 3, 3, 0], [3, 0, 0, 3, 3, 3, 3, 0, 3, 3], [0, 0, 0, 3, 3, 0, 0, 3, 3, 3], [3, 0, 3, 3, 0, 3, 0, 0, 0, 3]] -> [[0, 6, 0, 0, 0, 6, 0, 6, 0, 6], [0, 6, 0, 6, 6, 6, 0, 6, 0, 6], [6, 6, 0, 6, 0, 6, 0, 6, 6, 0], [6, 6, 0, 6, 0, 6, 0, 6, 0, 6], [0, 0, 0, 0, 0, 6, 0, 6, 0, 0], [0, 0, 0, 6, 0, 6, 6, 0, 6, 6], [0, 6, 6, 6, 0, 0, 0, 6, 0, 0], [0, 0, 0, 6, 0, 6, 6, 0, 6, 6], [0, 6, 0, 6, 6, 0, 0, 6, 6, 6], [0, 0, 0, 6, 0, 6, 0, 6, 0, 6]]\nExample input-output arrays:\n[[0, 9, 9, 0, 9, 9, 9, 0, 9, 9], [0, 9, 9, 9, 9, 9, 9, 0, 0, 9], [9, 9, 0, 9, 9, 9, 0, 0, 9, 0], [9, 0, 9, 9, 0, 9, 0, 9, 0, 9], [9, 0, 0, 0, 9, 9, 9, 0, 0, 0], [0, 0, 0, 9, 9, 9, 9, 0, 9, 9], [0, 9, 9, 9, 0, 0, 9, 9, 0, 0], [0, 0, 9, 9, 0, 0, 9, 0, 9, 0], [9, 9, 0, 0, 9, 0, 9, 0, 9, 9], [0, 0, 0, 0, 9, 9, 9, 9, 0, 0], [3, 3, 0, 0, 0, 0, 0, 3, 0, 0], [0, 3, 0, 0, 3, 3, 0, 3, 0, 0], [3, 3, 0, 0, 0, 0, 0, 3, 3, 0], [3, 3, 0, 3, 3, 0, 3, 0, 0, 3], [0, 0, 3, 0, 0, 0, 0, 3, 0, 0], [3, 0, 3, 0, 0, 0, 3, 0, 3, 3], [0, 0, 3, 0, 0, 0, 0, 3, 3, 0], [3, 0, 0, 3, 3, 3, 3, 0, 3, 3], [0, 0, 0, 3, 3, 0, 0, 3, 3, 3], [3, 0, 3, 3, 0, 3, 0, 0, 0, 3]] -> [[0, 6, 0, 0, 0, 6, 0, 6, 0, 6], [0, 6, 0, 6, 6, 6, 0, 6, 0, 6], [6, 6, 0, 6, 0, 6, 0, 6, 6, 0], [6, 6, 0, 6, 0, 6, 0, 6, 0, 6], [0, 0, 0, 0, 0, 6, 0, 6, 0, 0], [0, 0, 0, 6, 0, 6, 6, 0, 6, 6], [0, 6, 6, 6, 0, 0, 0, 6, 0, 0], [0, 0, 0, 6, 0, 6, 6, 0, 6, 6], [0, 6, 0, 6, 6, 0, 0, 6, 6, 6], [0, 0, 0, 6, 0, 6, 0, 6, 0, 6]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 3, 3, 0, 3, 3, 3, 0, 3], [0, 3, 0, 0, 3, 3, 0, 0, 0, 0], [3, 0, 3, 3, 0, 3, 0, 3, 3, 3], [0, 0, 0, 3, 0, 3, 0, 3, 0, 0], [0, 0, 0, 3, 3, 3, 3, 0, 3, 3], [0, 3, 3, 3, 0, 0, 0, 0, 0, 3], [0, 3, 3, 3, 0, 3, 3, 3, 0, 0], [3, 3, 0, 3, 3, 3, 3, 3, 3, 3], [0, 0, 3, 0, 0, 0, 0, 3, 0, 0], [0, 3, 3, 0, 0, 0, 3, 0, 3, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3
+                        ],
+                        [
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3
+                        ],
+                        [
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3
+                        ],
+                        [
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0
+                        ],
+                        [
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0
+                        ]
+                    ],
+                    "output": [
+                        [
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ]
+                    ]
+                }
+            }
+        },
+        "L3": {
+            "Replicate 0": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 9, 9, 0, 9, 9, 9, 0, 9, 9], [0, 9, 9, 9, 9, 9, 9, 0, 0, 9], [9, 9, 0, 9, 9, 9, 0, 0, 9, 0], [9, 0, 9, 9, 0, 9, 0, 9, 0, 9], [9, 0, 0, 0, 9, 9, 9, 0, 0, 0], [0, 0, 0, 9, 9, 9, 9, 0, 9, 9], [0, 9, 9, 9, 0, 0, 9, 9, 0, 0], [0, 0, 9, 9, 0, 0, 9, 0, 9, 0], [9, 9, 0, 0, 9, 0, 9, 0, 9, 9], [0, 0, 0, 0, 9, 9, 9, 9, 0, 0], [3, 3, 0, 0, 0, 0, 0, 3, 0, 0], [0, 3, 0, 0, 3, 3, 0, 3, 0, 0], [3, 3, 0, 0, 0, 0, 0, 3, 3, 0], [3, 3, 0, 3, 3, 0, 3, 0, 0, 3], [0, 0, 3, 0, 0, 0, 0, 3, 0, 0], [3, 0, 3, 0, 0, 0, 3, 0, 3, 3], [0, 0, 3, 0, 0, 0, 0, 3, 3, 0], [3, 0, 0, 3, 3, 3, 3, 0, 3, 3], [0, 0, 0, 3, 3, 0, 0, 3, 3, 3], [3, 0, 3, 3, 0, 3, 0, 0, 0, 3]] -> [[0, 6, 0, 0, 0, 6, 0, 6, 0, 6], [0, 6, 0, 6, 6, 6, 0, 6, 0, 6], [6, 6, 0, 6, 0, 6, 0, 6, 6, 0], [6, 6, 0, 6, 0, 6, 0, 6, 0, 6], [0, 0, 0, 0, 0, 6, 0, 6, 0, 0], [0, 0, 0, 6, 0, 6, 6, 0, 6, 6], [0, 6, 6, 6, 0, 0, 0, 6, 0, 0], [0, 0, 0, 6, 0, 6, 6, 0, 6, 6], [0, 6, 0, 6, 6, 0, 0, 6, 6, 6], [0, 0, 0, 6, 0, 6, 0, 6, 0, 6]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 9, 0, 9, 0, 9, 0], [0, 0, 9, 9, 9, 0, 0, 0, 9, 0], [0, 0, 9, 9, 0, 0, 9, 9, 9, 0], [9, 9, 9, 9, 0, 9, 0, 0, 9, 9], [0, 9, 9, 9, 9, 0, 9, 0, 9, 0], [9, 0, 0, 0, 0, 9, 9, 0, 0, 0], [9, 0, 9, 9, 9, 0, 9, 9, 0, 9], [9, 9, 0, 9, 0, 9, 0, 9, 9, 9], [9, 0, 0, 9, 0, 0, 0, 0, 0, 9], [9, 0, 0, 0, 9, 0, 0, 9, 9, 0], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3]] -> [[0, 6, 0, 6, 6, 6, 6, 6, 6, 6], [0, 6, 6, 6, 6, 6, 0, 6, 6, 6], [0, 6, 6, 6, 0, 6, 6, 6, 6, 6], [6, 6, 6, 6, 0, 6, 0, 6, 6, 6], [0, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 0, 6, 0, 6, 6, 6, 0, 6], [6, 6, 6, 6, 6, 6, 6, 6, 0, 6], [6, 6, 0, 6, 0, 6, 0, 6, 6, 6], [6, 6, 0, 6, 0, 6, 0, 6, 0, 6], [6, 6, 0, 6, 6, 6, 0, 6, 6, 6]]\nExample input-output arrays:\n[[0, 9, 0, 9, 9, 0, 0, 9, 0, 0], [9, 0, 0, 0, 9, 9, 9, 9, 0, 9], [9, 9, 9, 0, 9, 0, 9, 0, 9, 0], [9, 9, 9, 0, 9, 0, 0, 0, 9, 0], [0, 0, 0, 0, 0, 0, 9, 0, 0, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 0], [9, 9, 0, 0, 0, 0, 0, 9, 9, 9], [9, 9, 0, 9, 9, 0, 9, 9, 0, 9], [0, 0, 0, 9, 9, 0, 0, 0, 9, 9], [0, 0, 9, 0, 0, 0, 0, 9, 9, 9], [3, 0, 0, 0, 0, 3, 3, 3, 3, 0], [3, 0, 0, 0, 0, 3, 3, 0, 3, 3], [3, 0, 0, 3, 0, 0, 3, 3, 0, 0], [3, 0, 3, 0, 3, 0, 0, 3, 3, 0], [0, 0, 3, 0, 3, 3, 0, 3, 0, 3], [0, 3, 0, 0, 3, 3, 0, 0, 3, 0], [3, 0, 3, 3, 3, 0, 3, 0, 3, 3], [3, 0, 3, 0, 0, 3, 3, 0, 3, 3], [3, 3, 3, 3, 0, 3, 3, 3, 0, 0], [0, 0, 0, 0, 0, 3, 3, 3, 0, 0]] -> [[0, 6, 0, 6, 0, 6, 0, 6, 0, 0], [6, 0, 0, 0, 0, 6, 6, 6, 0, 6], [6, 6, 0, 6, 0, 0, 6, 6, 0, 0], [6, 6, 6, 0, 6, 0, 0, 6, 6, 0], [0, 0, 0, 0, 0, 6, 0, 6, 0, 6], [0, 6, 0, 6, 6, 6, 0, 6, 6, 0], [6, 6, 0, 6, 0, 0, 0, 6, 6, 6], [6, 6, 0, 6, 0, 6, 6, 6, 0, 6], [0, 6, 0, 6, 0, 6, 0, 6, 0, 6], [0, 0, 0, 0, 0, 6, 0, 6, 0, 6]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[9, 9, 9, 9, 0, 9, 9, 9, 0, 9], [9, 0, 9, 0, 0, 9, 9, 9, 9, 9], [9, 9, 9, 9, 0, 9, 9, 9, 9, 9], [9, 9, 0, 0, 0, 9, 0, 0, 0, 9], [0, 9, 0, 9, 9, 0, 0, 0, 0, 0], [9, 9, 0, 9, 0, 0, 9, 9, 0, 9], [9, 0, 9, 0, 9, 0, 0, 0, 9, 9], [0, 0, 9, 0, 9, 9, 9, 0, 9, 9], [0, 9, 9, 0, 0, 9, 0, 0, 9, 0], [0, 0, 0, 9, 9, 0, 9, 9, 0, 9], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            9,
+                            9,
+                            9,
+                            9,
+                            0,
+                            9,
+                            9,
+                            9,
+                            0,
+                            9
+                        ],
+                        [
+                            9,
+                            0,
+                            9,
+                            0,
+                            0,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9
+                        ],
+                        [
+                            9,
+                            9,
+                            9,
+                            9,
+                            0,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9
+                        ],
+                        [
+                            9,
+                            9,
+                            0,
+                            0,
+                            0,
+                            9,
+                            0,
+                            0,
+                            0,
+                            9
+                        ],
+                        [
+                            0,
+                            9,
+                            0,
+                            9,
+                            9,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            9,
+                            9,
+                            0,
+                            9,
+                            0,
+                            0,
+                            9,
+                            9,
+                            0,
+                            9
+                        ],
+                        [
+                            9,
+                            0,
+                            9,
+                            0,
+                            9,
+                            0,
+                            0,
+                            0,
+                            9,
+                            9
+                        ],
+                        [
+                            0,
+                            0,
+                            9,
+                            0,
+                            9,
+                            9,
+                            9,
+                            0,
+                            9,
+                            9
+                        ],
+                        [
+                            0,
+                            9,
+                            9,
+                            0,
+                            0,
+                            9,
+                            0,
+                            0,
+                            9,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            9,
+                            9,
+                            0,
+                            9,
+                            9,
+                            0,
+                            9
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3
+                        ]
+                    ],
+                    "output": [
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6
+                        ]
+                    ]
+                }
+            },
+            "Replicate 1": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[9, 9, 0, 0, 9, 0, 0, 0, 9, 9], [9, 9, 9, 9, 0, 9, 0, 9, 9, 0], [0, 0, 9, 9, 0, 9, 0, 0, 0, 0], [0, 9, 0, 0, 0, 9, 9, 0, 9, 0], [9, 9, 9, 9, 0, 9, 0, 9, 9, 0], [0, 0, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 0, 9, 9, 9, 0, 0, 0, 9], [0, 0, 9, 9, 9, 0, 0, 9, 9, 0], [0, 9, 0, 9, 0, 0, 0, 0, 9, 9], [9, 0, 0, 0, 9, 9, 9, 9, 9, 9], [3, 3, 0, 0, 0, 3, 3, 3, 0, 3], [0, 0, 0, 0, 3, 3, 3, 0, 3, 3], [0, 0, 3, 0, 0, 3, 0, 0, 0, 0], [0, 3, 0, 3, 0, 0, 0, 3, 3, 3], [0, 0, 0, 3, 0, 3, 3, 0, 0, 0], [3, 3, 3, 0, 0, 0, 0, 3, 3, 0], [3, 0, 3, 0, 0, 0, 3, 3, 3, 3], [0, 0, 0, 3, 3, 0, 3, 0, 3, 3], [0, 3, 0, 0, 3, 0, 3, 3, 3, 0], [3, 3, 3, 0, 0, 3, 3, 0, 0, 3]] -> [[6, 6, 0, 0, 0, 6, 0, 6, 0, 6], [0, 6, 0, 6, 0, 6, 0, 6, 6, 6], [0, 0, 6, 6, 0, 6, 0, 0, 0, 0], [0, 6, 0, 6, 0, 6, 0, 6, 6, 6], [0, 6, 0, 6, 0, 6, 0, 6, 0, 0], [0, 6, 6, 6, 0, 6, 0, 6, 6, 6], [6, 6, 0, 6, 0, 6, 0, 6, 0, 6], [0, 0, 0, 6, 6, 0, 0, 6, 6, 6], [0, 6, 0, 6, 0, 0, 0, 6, 6, 6], [6, 6, 0, 0, 0, 6, 6, 6, 0, 6]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[2, 2, 0, 0, 2, 0, 0, 0, 2, 2], [2, 2, 2, 2, 0, 2, 0, 2, 2, 0], [0, 0, 2, 2, 0, 2, 0, 0, 0, 0], [0, 2, 0, 0, 0, 2, 2, 0, 2, 0], [2, 2, 2, 2, 0, 2, 0, 2, 2, 0], [0, 0, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 0, 2, 2, 2, 0, 0, 0, 2], [0, 0, 2, 2, 2, 0, 0, 2, 2, 0], [0, 2, 0, 2, 0, 0, 0, 0, 2, 2], [2, 0, 0, 0, 2, 2, 2, 2, 2, 2], [3, 3, 0, 0, 0, 3, 3, 3, 0, 3], [0, 0, 0, 0, 3, 3, 3, 0, 3, 3], [0, 0, 3, 0, 0, 3, 0, 0, 0, 0], [0, 3, 0, 3, 0, 0, 0, 3, 3, 3], [0, 0, 0, 3, 0, 3, 3, 0, 0, 0], [3, 3, 3, 0, 0, 0, 0, 3, 3, 0], [3, 0, 3, 0, 0, 0, 3, 3, 3, 3], [0, 0, 0, 3, 3, 0, 3, 0, 3, 3], [0, 3, 0, 0, 3, 0, 3, 3, 3, 0], [3, 3, 3, 0, 0, 3, 3, 0, 0, 3]] -> [[6, 6, 0, 0, 0, 6, 0, 6, 0, 6], [0, 6, 0, 6, 0, 6, 0, 6, 6, 6], [0, 0, 6, 6, 0, 6, 0, 0, 0, 0], [0, 6, 0, 6, 0, 6, 0, 6, 6, 6], [0, 6, 0, 6, 0, 6, 0, 6, 0, 0], [0, 6, 6, 6, 0, 6, 0, 6, 6, 6], [6, 6, 0, 6, 0, 6, 0, 6, 0, 6], [0, 0, 0, 6, 6, 0, 0, 6, 6, 6], [0, 6, 0, 6, 0, 0, 0, 6, 6, 6], [6, 6, 0, 0, 0, 6, 6, 6, 0, 6]]\nExample input-output arrays:\n[[0, 0, 9, 0, 9, 9, 0, 0, 9, 9], [9, 9, 0, 9, 0, 9, 9, 0, 0, 9], [0, 0, 0, 9, 0, 9, 9, 0, 9, 9], [9, 0, 0, 0, 9, 9, 9, 0, 0, 9], [9, 0, 9, 0, 9, 9, 9, 0, 9, 0], [9, 9, 0, 9, 0, 9, 0, 9, 0, 9], [0, 0, 9, 9, 0, 9, 9, 0, 0, 0], [0, 0, 0, 9, 0, 0, 9, 0, 9, 9], [9, 9, 0, 9, 9, 0, 9, 0, 0, 0], [0, 9, 0, 0, 9, 9, 9, 0, 0, 0], [3, 0, 0, 3, 3, 0, 3, 0, 3, 3], [3, 3, 3, 0, 3, 3, 3, 0, 0, 3], [3, 3, 0, 3, 0, 3, 0, 3, 3, 0], [3, 3, 3, 0, 0, 0, 0, 0, 3, 3], [0, 0, 0, 0, 0, 0, 0, 0, 3, 0], [0, 0, 3, 0, 0, 3, 0, 0, 3, 3], [0, 3, 3, 3, 3, 0, 3, 0, 3, 0], [3, 0, 0, 3, 3, 0, 0, 0, 0, 3], [3, 3, 0, 3, 3, 0, 0, 3, 3, 0], [3, 3, 0, 0, 3, 0, 0, 0, 3, 0]] -> [[0, 0, 0, 6, 6, 6, 0, 0, 6, 6], [6, 6, 0, 6, 0, 6, 6, 0, 0, 6], [0, 6, 0, 6, 0, 6, 0, 6, 6, 6], [6, 6, 0, 0, 0, 6, 0, 0, 0, 6], [0, 0, 0, 0, 0, 6, 0, 0, 6, 0], [0, 6, 0, 6, 0, 6, 0, 6, 0, 6], [0, 6, 6, 6, 0, 6, 6, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0, 0, 6], [6, 6, 0, 6, 6, 0, 0, 6, 0, 0], [0, 6, 0, 0, 6, 6, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 0, 2, 0, 2, 2, 0, 0, 2, 2], [2, 2, 0, 2, 0, 2, 2, 0, 0, 2], [0, 0, 0, 2, 0, 2, 2, 0, 2, 2], [2, 0, 0, 0, 2, 2, 2, 0, 0, 2], [2, 0, 2, 0, 2, 2, 2, 0, 2, 0], [2, 2, 0, 2, 0, 2, 0, 2, 0, 2], [0, 0, 2, 2, 0, 2, 2, 0, 0, 0], [0, 0, 0, 2, 0, 0, 2, 0, 2, 2], [2, 2, 0, 2, 2, 0, 2, 0, 0, 0], [0, 2, 0, 0, 2, 2, 2, 0, 0, 0], [3, 0, 0, 3, 3, 0, 3, 0, 3, 3], [3, 3, 3, 0, 3, 3, 3, 0, 0, 3], [3, 3, 0, 3, 0, 3, 0, 3, 3, 0], [3, 3, 3, 0, 0, 0, 0, 0, 3, 3], [0, 0, 0, 0, 0, 0, 0, 0, 3, 0], [0, 0, 3, 0, 0, 3, 0, 0, 3, 3], [0, 3, 3, 3, 3, 0, 3, 0, 3, 0], [3, 0, 0, 3, 3, 0, 0, 0, 0, 3], [3, 3, 0, 3, 3, 0, 0, 3, 3, 0], [3, 3, 0, 0, 3, 0, 0, 0, 3, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            0,
+                            0,
+                            2,
+                            0,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2
+                        ],
+                        [
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0
+                        ],
+                        [
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2
+                        ],
+                        [
+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3
+                        ],
+                        [
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0
+                        ],
+                        [
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0
+                        ],
+                        [
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0
+                        ]
+                    ],
+                    "output": [
+                        [
+                            0,
+                            0,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            6
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            6,
+                            0
+                        ],
+                        [
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            6,
+                            0,
+                            0,
+                            6,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0
+                        ]
+                    ]
+                }
+            },
+            "Replicate 2": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[9, 9, 0, 0, 9, 0, 0, 0, 9, 9], [9, 9, 9, 9, 0, 9, 0, 9, 9, 0], [0, 0, 9, 9, 0, 9, 0, 0, 0, 0], [0, 9, 0, 0, 0, 9, 9, 0, 9, 0], [9, 9, 9, 9, 0, 9, 0, 9, 9, 0], [0, 0, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 0, 9, 9, 9, 0, 0, 0, 9], [0, 0, 9, 9, 9, 0, 0, 9, 9, 0], [0, 9, 0, 9, 0, 0, 0, 0, 9, 9], [9, 0, 0, 0, 9, 9, 9, 9, 9, 9], [3, 3, 0, 0, 0, 3, 3, 3, 0, 3], [0, 0, 0, 0, 3, 3, 3, 0, 3, 3], [0, 0, 3, 0, 0, 3, 0, 0, 0, 0], [0, 3, 0, 3, 0, 0, 0, 3, 3, 3], [0, 0, 0, 3, 0, 3, 3, 0, 0, 0], [3, 3, 3, 0, 0, 0, 0, 3, 3, 0], [3, 0, 3, 0, 0, 0, 3, 3, 3, 3], [0, 0, 0, 3, 3, 0, 3, 0, 3, 3], [0, 3, 0, 0, 3, 0, 3, 3, 3, 0], [3, 3, 3, 0, 0, 3, 3, 0, 0, 3]] -> [[6, 6, 0, 0, 0, 6, 0, 6, 0, 6], [0, 6, 0, 6, 0, 6, 0, 6, 6, 6], [0, 0, 6, 6, 0, 6, 0, 0, 0, 0], [0, 6, 0, 6, 0, 6, 0, 6, 6, 6], [0, 6, 0, 6, 0, 6, 0, 6, 0, 0], [0, 6, 6, 6, 0, 6, 0, 6, 6, 6], [6, 6, 0, 6, 0, 6, 0, 6, 0, 6], [0, 0, 0, 6, 6, 0, 0, 6, 6, 6], [0, 6, 0, 6, 0, 0, 0, 6, 6, 6], [6, 6, 0, 0, 0, 6, 6, 6, 0, 6]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[9, 9, 9, 9, 9, 0, 0, 0, 9, 9], [9, 9, 0, 0, 9, 0, 0, 0, 9, 9], [0, 0, 9, 0, 9, 9, 0, 0, 9, 0], [9, 9, 0, 0, 9, 9, 0, 0, 0, 0], [0, 9, 9, 0, 0, 0, 9, 9, 9, 0], [9, 9, 9, 0, 0, 9, 9, 0, 0, 9], [0, 0, 9, 0, 9, 0, 0, 9, 9, 9], [0, 0, 9, 0, 9, 0, 9, 9, 9, 0], [9, 9, 0, 9, 0, 0, 0, 9, 0, 0], [0, 9, 9, 0, 9, 0, 0, 0, 9, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 6, 0, 6, 0, 0, 0, 0, 0, 6], [0, 6, 0, 0, 0, 0, 0, 0, 0, 6], [0, 0, 0, 0, 0, 6, 0, 0, 0, 0], [0, 6, 0, 0, 0, 6, 0, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 6, 0, 0], [0, 6, 0, 0, 0, 6, 0, 0, 0, 6], [0, 0, 0, 0, 0, 0, 0, 6, 0, 6], [0, 0, 0, 0, 0, 0, 0, 6, 0, 0], [0, 6, 0, 6, 0, 0, 0, 6, 0, 0], [0, 6, 0, 0, 0, 0, 0, 0, 0, 6]]\nExample input-output arrays:\n[[0, 0, 0, 0, 9, 0, 0, 9, 9, 9], [9, 9, 0, 0, 0, 9, 9, 9, 0, 0], [0, 0, 0, 9, 9, 9, 9, 0, 0, 9], [0, 9, 0, 9, 9, 0, 0, 0, 0, 9], [0, 9, 0, 9, 9, 0, 9, 9, 0, 9], [0, 9, 9, 9, 9, 9, 0, 9, 0, 0], [0, 9, 0, 9, 9, 0, 9, 0, 0, 0], [9, 0, 9, 0, 9, 0, 0, 0, 9, 9], [9, 9, 9, 0, 9, 9, 0, 0, 9, 9], [0, 0, 0, 0, 0, 9, 9, 9, 0, 0], [0, 3, 3, 3, 0, 0, 3, 3, 3, 0], [0, 3, 3, 0, 3, 0, 3, 3, 0, 3], [0, 3, 0, 3, 3, 3, 0, 0, 0, 3], [0, 3, 3, 3, 3, 3, 3, 3, 3, 0], [3, 0, 3, 0, 0, 0, 3, 0, 3, 0], [3, 3, 3, 0, 3, 3, 0, 0, 0, 0], [0, 0, 3, 3, 3, 0, 0, 0, 3, 0], [0, 3, 3, 0, 0, 0, 0, 3, 3, 3], [3, 3, 3, 0, 3, 0, 0, 0, 0, 0], [3, 3, 3, 3, 0, 0, 0, 0, 0, 0]] -> [[0, 6, 0, 6, 0, 0, 0, 6, 6, 6], [0, 6, 0, 0, 0, 6, 6, 6, 0, 6], [0, 6, 0, 6, 6, 6, 0, 0, 0, 6], [0, 6, 0, 6, 6, 6, 0, 6, 0, 6], [0, 6, 0, 6, 0, 0, 6, 6, 0, 6], [0, 6, 6, 6, 6, 6, 0, 6, 0, 0], [0, 6, 0, 6, 6, 0, 0, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 6, 6, 6], [6, 6, 6, 0, 6, 6, 0, 0, 0, 6], [0, 6, 0, 6, 0, 6, 0, 6, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 3, 0, 0, 3, 0, 0, 3, 3, 0], [0, 3, 3, 3, 0, 3, 0, 3, 0, 0], [0, 3, 3, 0, 3, 0, 3, 3, 0, 0], [3, 0, 0, 3, 3, 3, 0, 0, 3, 0], [0, 3, 3, 3, 3, 3, 3, 3, 0, 0], [0, 3, 0, 0, 3, 0, 3, 3, 0, 3], [0, 3, 3, 0, 0, 0, 0, 0, 0, 3], [0, 0, 0, 0, 3, 3, 3, 3, 3, 0], [0, 3, 0, 3, 3, 3, 3, 0, 3, 3], [3, 3, 3, 3, 0, 0, 0, 3, 3, 3]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0
+                        ],
+                        [
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0
+                        ],
+                        [
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0
+                        ],
+                        [
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3
+                        ],
+                        [
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0
+                        ],
+                        [
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3
+                        ]
+                    ],
+                    "output": [
+                        [
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6
+                        ]
+                    ]
+                }
+            },
+            "Replicate 3": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 9, 0, 9, 9, 0, 0, 9, 0, 0], [9, 0, 0, 0, 9, 9, 9, 9, 0, 9], [9, 9, 9, 0, 9, 0, 9, 0, 9, 0], [9, 9, 9, 0, 9, 0, 0, 0, 9, 0], [0, 0, 0, 0, 0, 0, 9, 0, 0, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 0], [9, 9, 0, 0, 0, 0, 0, 9, 9, 9], [9, 9, 0, 9, 9, 0, 9, 9, 0, 9], [0, 0, 0, 9, 9, 0, 0, 0, 9, 9], [0, 0, 9, 0, 0, 0, 0, 9, 9, 9], [3, 0, 0, 0, 0, 3, 3, 3, 3, 0], [3, 0, 0, 0, 0, 3, 3, 0, 3, 3], [3, 0, 0, 3, 0, 0, 3, 3, 0, 0], [3, 0, 3, 0, 3, 0, 0, 3, 3, 0], [0, 0, 3, 0, 3, 3, 0, 3, 0, 3], [0, 3, 0, 0, 3, 3, 0, 0, 3, 0], [3, 0, 3, 3, 3, 0, 3, 0, 3, 3], [3, 0, 3, 0, 0, 3, 3, 0, 3, 3], [3, 3, 3, 3, 0, 3, 3, 3, 0, 0], [0, 0, 0, 0, 0, 3, 3, 3, 0, 0]] -> [[0, 6, 0, 6, 0, 6, 0, 6, 0, 0], [6, 0, 0, 0, 0, 6, 6, 6, 0, 6], [6, 6, 0, 6, 0, 0, 6, 6, 0, 0], [6, 6, 6, 0, 6, 0, 0, 6, 6, 0], [0, 0, 0, 0, 0, 6, 0, 6, 0, 6], [0, 6, 0, 6, 6, 6, 0, 6, 6, 0], [6, 6, 0, 6, 0, 0, 0, 6, 6, 6], [6, 6, 0, 6, 0, 6, 6, 6, 0, 6], [0, 6, 0, 6, 0, 6, 0, 6, 0, 6], [0, 0, 0, 0, 0, 6, 0, 6, 0, 6]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 4, 0, 4, 4, 0, 0, 4, 0, 0], [4, 0, 0, 0, 4, 4, 4, 4, 0, 4], [4, 4, 4, 0, 4, 0, 4, 0, 4, 0], [4, 4, 4, 0, 4, 0, 0, 0, 4, 0], [0, 0, 0, 0, 0, 0, 4, 0, 0, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 0], [4, 4, 0, 0, 0, 0, 0, 4, 4, 4], [4, 4, 0, 4, 4, 0, 4, 4, 0, 4], [0, 0, 0, 4, 4, 0, 0, 0, 4, 4], [0, 0, 4, 0, 0, 0, 0, 4, 4, 4], [3, 0, 0, 0, 0, 3, 3, 3, 3, 0], [3, 0, 0, 0, 0, 3, 3, 0, 3, 3], [3, 0, 0, 3, 0, 0, 3, 3, 0, 0], [3, 0, 3, 0, 3, 0, 0, 3, 3, 0], [0, 0, 3, 0, 3, 3, 0, 3, 0, 3], [0, 3, 0, 0, 3, 3, 0, 0, 3, 0], [3, 0, 3, 3, 3, 0, 3, 0, 3, 3], [3, 0, 3, 0, 0, 3, 3, 0, 3, 3], [3, 3, 3, 3, 0, 3, 3, 3, 0, 0], [0, 0, 0, 0, 0, 3, 3, 3, 0, 0]] -> [[0, 6, 0, 6, 0, 6, 0, 6, 0, 0], [6, 0, 0, 0, 0, 6, 6, 6, 0, 6], [6, 6, 0, 6, 0, 0, 6, 6, 0, 0], [6, 6, 6, 0, 6, 0, 0, 6, 6, 0], [0, 0, 0, 0, 0, 6, 0, 6, 0, 6], [0, 6, 0, 6, 6, 6, 0, 6, 6, 0], [6, 6, 0, 6, 0, 0, 0, 6, 6, 6], [6, 6, 0, 6, 0, 6, 6, 6, 0, 6], [0, 6, 0, 6, 0, 6, 0, 6, 0, 6], [0, 0, 0, 0, 0, 6, 0, 6, 0, 6]]\nExample input-output arrays:\n[[0, 0, 0, 0, 9, 0, 0, 9, 9, 9], [9, 9, 0, 0, 0, 9, 9, 9, 0, 0], [0, 0, 0, 9, 9, 9, 9, 0, 0, 9], [0, 9, 0, 9, 9, 0, 0, 0, 0, 9], [0, 9, 0, 9, 9, 0, 9, 9, 0, 9], [0, 9, 9, 9, 9, 9, 0, 9, 0, 0], [0, 9, 0, 9, 9, 0, 9, 0, 0, 0], [9, 0, 9, 0, 9, 0, 0, 0, 9, 9], [9, 9, 9, 0, 9, 9, 0, 0, 9, 9], [0, 0, 0, 0, 0, 9, 9, 9, 0, 0], [0, 3, 3, 3, 0, 0, 3, 3, 3, 0], [0, 3, 3, 0, 3, 0, 3, 3, 0, 3], [0, 3, 0, 3, 3, 3, 0, 0, 0, 3], [0, 3, 3, 3, 3, 3, 3, 3, 3, 0], [3, 0, 3, 0, 0, 0, 3, 0, 3, 0], [3, 3, 3, 0, 3, 3, 0, 0, 0, 0], [0, 0, 3, 3, 3, 0, 0, 0, 3, 0], [0, 3, 3, 0, 0, 0, 0, 3, 3, 3], [3, 3, 3, 0, 3, 0, 0, 0, 0, 0], [3, 3, 3, 3, 0, 0, 0, 0, 0, 0]] -> [[0, 6, 0, 6, 0, 0, 0, 6, 6, 6], [0, 6, 0, 0, 0, 6, 6, 6, 0, 6], [0, 6, 0, 6, 6, 6, 0, 0, 0, 6], [0, 6, 0, 6, 6, 6, 0, 6, 0, 6], [0, 6, 0, 6, 0, 0, 6, 6, 0, 6], [0, 6, 6, 6, 6, 6, 0, 6, 0, 0], [0, 6, 0, 6, 6, 0, 0, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 6, 6, 6], [6, 6, 6, 0, 6, 6, 0, 0, 0, 6], [0, 6, 0, 6, 0, 6, 0, 6, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing the causal function for some elements.\n[[9, 9, 9, 9, 0, 9, 9, 0, 0, 0], [0, 0, 9, 9, 9, 0, 0, 0, 9, 9], [9, 9, 9, 0, 0, 0, 0, 9, 9, 0], [9, 0, 9, 0, 0, 9, 9, 9, 9, 0], [9, 0, 9, 0, 0, 9, 0, 0, 9, 0], [9, 0, 0, 0, 0, 0, 9, 0, 9, 9], [9, 0, 9, 0, 0, 9, 0, 9, 9, 9], [0, 9, 0, 9, 0, 9, 9, 9, 0, 0], [0, 0, 0, 9, 0, 0, 9, 9, 0, 0], [9, 9, 9, 9, 9, 0, 0, 0, 9, 9], [3, 0, 3, 3, 0, 3, 3, 3, 3, 0], [0, 0, 0, 3, 0, 3, 0, 0, 0, 3], [3, 3, 0, 0, 0, 3, 3, 0, 3, 3], [0, 0, 3, 0, 3, 0, 3, 0, 0, 0], [0, 0, 0, 3, 0, 3, 3, 3, 0, 0], [0, 3, 0, 3, 0, 0, 0, 0, 0, 0], [3, 3, 0, 3, 3, 3, 0, 3, 3, 0], [3, 0, 0, 3, 0, 3, 0, 0, 3, 3], [3, 0, 0, 0, 3, 3, 3, 3, 0, 3], [0, 0, 0, 3, 3, 3, 3, 0, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            9,
+                            9,
+                            9,
+                            9,
+                            0,
+                            9,
+                            9,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            9,
+                            9,
+                            9,
+                            0,
+                            0,
+                            0,
+                            9,
+                            9
+                        ],
+                        [
+                            9,
+                            9,
+                            9,
+                            0,
+                            0,
+                            0,
+                            0,
+                            9,
+                            9,
+                            0
+                        ],
+                        [
+                            9,
+                            0,
+                            9,
+                            0,
+                            0,
+                            9,
+                            9,
+                            9,
+                            9,
+                            0
+                        ],
+                        [
+                            9,
+                            0,
+                            9,
+                            0,
+                            0,
+                            9,
+                            0,
+                            0,
+                            9,
+                            0
+                        ],
+                        [
+                            9,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            9,
+                            0,
+                            9,
+                            9
+                        ],
+                        [
+                            9,
+                            0,
+                            9,
+                            0,
+                            0,
+                            9,
+                            0,
+                            9,
+                            9,
+                            9
+                        ],
+                        [
+                            0,
+                            9,
+                            0,
+                            9,
+                            0,
+                            9,
+                            9,
+                            9,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            9,
+                            0,
+                            0,
+                            9,
+                            9,
+                            0,
+                            0
+                        ],
+                        [
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            0,
+                            0,
+                            0,
+                            9,
+                            9
+                        ],
+                        [
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0
+                        ],
+                        [
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0
+                        ]
+                    ],
+                    "output": [
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            0,
+                            6
+                        ]
+                    ]
+                }
+            },
+            "Replicate 4": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[9, 9, 0, 0, 9, 0, 0, 0, 9, 9], [9, 9, 9, 9, 0, 9, 0, 9, 9, 0], [0, 0, 9, 9, 0, 9, 0, 0, 0, 0], [0, 9, 0, 0, 0, 9, 9, 0, 9, 0], [9, 9, 9, 9, 0, 9, 0, 9, 9, 0], [0, 0, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 0, 9, 9, 9, 0, 0, 0, 9], [0, 0, 9, 9, 9, 0, 0, 9, 9, 0], [0, 9, 0, 9, 0, 0, 0, 0, 9, 9], [9, 0, 0, 0, 9, 9, 9, 9, 9, 9], [3, 3, 0, 0, 0, 3, 3, 3, 0, 3], [0, 0, 0, 0, 3, 3, 3, 0, 3, 3], [0, 0, 3, 0, 0, 3, 0, 0, 0, 0], [0, 3, 0, 3, 0, 0, 0, 3, 3, 3], [0, 0, 0, 3, 0, 3, 3, 0, 0, 0], [3, 3, 3, 0, 0, 0, 0, 3, 3, 0], [3, 0, 3, 0, 0, 0, 3, 3, 3, 3], [0, 0, 0, 3, 3, 0, 3, 0, 3, 3], [0, 3, 0, 0, 3, 0, 3, 3, 3, 0], [3, 3, 3, 0, 0, 3, 3, 0, 0, 3]] -> [[6, 6, 0, 0, 0, 6, 0, 6, 0, 6], [0, 6, 0, 6, 0, 6, 0, 6, 6, 6], [0, 0, 6, 6, 0, 6, 0, 0, 0, 0], [0, 6, 0, 6, 0, 6, 0, 6, 6, 6], [0, 6, 0, 6, 0, 6, 0, 6, 0, 0], [0, 6, 6, 6, 0, 6, 0, 6, 6, 6], [6, 6, 0, 6, 0, 6, 0, 6, 0, 6], [0, 0, 0, 6, 6, 0, 0, 6, 6, 6], [0, 6, 0, 6, 0, 0, 0, 6, 6, 6], [6, 6, 0, 0, 0, 6, 6, 6, 0, 6]]\nCounterfactual: Now imagine that we intervened on the previous input by changing the causal function for some elements.\n[[0, 0, 9, 9, 0, 9, 9, 9, 0, 0], [0, 0, 0, 0, 9, 0, 9, 0, 0, 9], [9, 9, 0, 0, 9, 0, 9, 9, 9, 9], [9, 0, 9, 9, 9, 0, 0, 9, 0, 9], [0, 0, 0, 0, 9, 0, 9, 0, 0, 9], [9, 9, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 9, 0, 0, 0, 9, 9, 9, 0], [9, 9, 0, 0, 0, 9, 9, 0, 0, 9], [9, 0, 9, 0, 9, 9, 9, 9, 0, 0], [0, 9, 9, 9, 0, 0, 0, 0, 0, 0], [3, 3, 0, 3, 0, 3, 0, 3, 0, 3], [3, 3, 3, 0, 0, 3, 3, 0, 3, 0], [0, 3, 0, 3, 0, 3, 3, 0, 3, 0], [0, 0, 3, 3, 3, 3, 0, 3, 0, 0], [0, 0, 0, 0, 3, 0, 3, 3, 0, 3], [3, 3, 0, 0, 3, 3, 3, 3, 0, 3], [0, 3, 3, 0, 3, 3, 0, 0, 0, 0], [3, 3, 0, 0, 3, 3, 0, 0, 3, 0], [0, 0, 0, 0, 3, 0, 0, 3, 3, 3], [0, 0, 3, 0, 3, 0, 0, 3, 0, 0]] -> [[0, 6, 0, 6, 0, 6, 0, 6, 0, 6], [0, 6, 0, 0, 0, 6, 6, 0, 0, 6], [0, 6, 0, 6, 0, 6, 6, 6, 6, 6], [0, 0, 6, 6, 6, 6, 0, 6, 0, 6], [0, 0, 0, 0, 6, 0, 6, 6, 0, 6], [6, 6, 0, 0, 0, 6, 0, 6, 0, 6], [0, 6, 6, 0, 0, 6, 0, 6, 0, 0], [6, 6, 0, 0, 0, 6, 0, 0, 0, 6], [0, 0, 0, 0, 6, 6, 0, 6, 0, 6], [0, 6, 6, 6, 0, 0, 0, 6, 0, 0]]\nExample input-output arrays:\n[[0, 9, 9, 0, 9, 9, 9, 0, 9, 9], [0, 9, 9, 9, 9, 9, 9, 0, 0, 9], [9, 9, 0, 9, 9, 9, 0, 0, 9, 0], [9, 0, 9, 9, 0, 9, 0, 9, 0, 9], [9, 0, 0, 0, 9, 9, 9, 0, 0, 0], [0, 0, 0, 9, 9, 9, 9, 0, 9, 9], [0, 9, 9, 9, 0, 0, 9, 9, 0, 0], [0, 0, 9, 9, 0, 0, 9, 0, 9, 0], [9, 9, 0, 0, 9, 0, 9, 0, 9, 9], [0, 0, 0, 0, 9, 9, 9, 9, 0, 0], [3, 3, 0, 0, 0, 0, 0, 3, 0, 0], [0, 3, 0, 0, 3, 3, 0, 3, 0, 0], [3, 3, 0, 0, 0, 0, 0, 3, 3, 0], [3, 3, 0, 3, 3, 0, 3, 0, 0, 3], [0, 0, 3, 0, 0, 0, 0, 3, 0, 0], [3, 0, 3, 0, 0, 0, 3, 0, 3, 3], [0, 0, 3, 0, 0, 0, 0, 3, 3, 0], [3, 0, 0, 3, 3, 3, 3, 0, 3, 3], [0, 0, 0, 3, 3, 0, 0, 3, 3, 3], [3, 0, 3, 3, 0, 3, 0, 0, 0, 3]] -> [[0, 6, 0, 0, 0, 6, 0, 6, 0, 6], [0, 6, 0, 6, 6, 6, 0, 6, 0, 6], [6, 6, 0, 6, 0, 6, 0, 6, 6, 0], [6, 6, 0, 6, 0, 6, 0, 6, 0, 6], [0, 0, 0, 0, 0, 6, 0, 6, 0, 0], [0, 0, 0, 6, 0, 6, 6, 0, 6, 6], [0, 6, 6, 6, 0, 0, 0, 6, 0, 0], [0, 0, 0, 6, 0, 6, 6, 0, 6, 6], [0, 6, 0, 6, 6, 0, 0, 6, 6, 6], [0, 0, 0, 6, 0, 6, 0, 6, 0, 6]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 5, 5, 0, 5, 5, 5, 0, 5, 5], [0, 5, 5, 5, 5, 5, 5, 0, 0, 5], [5, 5, 0, 5, 5, 5, 0, 0, 5, 0], [5, 0, 5, 5, 0, 5, 0, 5, 0, 5], [5, 0, 0, 0, 5, 5, 5, 0, 0, 0], [0, 0, 0, 5, 5, 5, 5, 0, 5, 5], [0, 5, 5, 5, 0, 0, 5, 5, 0, 0], [0, 0, 5, 5, 0, 0, 5, 0, 5, 0], [5, 5, 0, 0, 5, 0, 5, 0, 5, 5], [0, 0, 0, 0, 5, 5, 5, 5, 0, 0], [3, 3, 0, 0, 0, 0, 0, 3, 0, 0], [0, 3, 0, 0, 3, 3, 0, 3, 0, 0], [3, 3, 0, 0, 0, 0, 0, 3, 3, 0], [3, 3, 0, 3, 3, 0, 3, 0, 0, 3], [0, 0, 3, 0, 0, 0, 0, 3, 0, 0], [3, 0, 3, 0, 0, 0, 3, 0, 3, 3], [0, 0, 3, 0, 0, 0, 0, 3, 3, 0], [3, 0, 0, 3, 3, 3, 3, 0, 3, 3], [0, 0, 0, 3, 3, 0, 0, 3, 3, 3], [3, 0, 3, 3, 0, 3, 0, 0, 0, 3]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            0,
+                            5,
+                            5,
+                            0,
+                            5,
+                            5,
+                            5,
+                            0,
+                            5,
+                            5
+                        ],
+                        [
+                            0,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            0,
+                            0,
+                            5
+                        ],
+                        [
+                            5,
+                            5,
+                            0,
+                            5,
+                            5,
+                            5,
+                            0,
+                            0,
+                            5,
+                            0
+                        ],
+                        [
+                            5,
+                            0,
+                            5,
+                            5,
+                            0,
+                            5,
+                            0,
+                            5,
+                            0,
+                            5
+                        ],
+                        [
+                            5,
+                            0,
+                            0,
+                            0,
+                            5,
+                            5,
+                            5,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            5,
+                            5,
+                            5,
+                            5,
+                            0,
+                            5,
+                            5
+                        ],
+                        [
+                            0,
+                            5,
+                            5,
+                            5,
+                            0,
+                            0,
+                            5,
+                            5,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            5,
+                            5,
+                            0,
+                            0,
+                            5,
+                            0,
+                            5,
+                            0
+                        ],
+                        [
+                            5,
+                            5,
+                            0,
+                            0,
+                            5,
+                            0,
+                            5,
+                            0,
+                            5,
+                            5
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            5,
+                            5,
+                            5,
+                            5,
+                            0,
+                            0
+                        ],
+                        [
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0
+                        ],
+                        [
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0
+                        ],
+                        [
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0
+                        ],
+                        [
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0
+                        ],
+                        [
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3
+                        ]
+                    ],
+                    "output": [
+                        [
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0
+                        ],
+                        [
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6
+                        ]
+                    ]
+                }
+            }
+        }
+    },
+    "SCMu3am!and!or!axis1!15x15": {
+        "L1": {
+            "Replicate 0": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 8, 0, 8, 8, 0, 8, 8, 0, 0, 8, 0, 8, 0, 0], [8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [8, 8, 0, 8, 0, 8, 8, 0, 8, 8, 0, 0, 0, 8, 0], [8, 8, 0, 0, 0, 0, 8, 0, 8, 0, 8, 0, 0, 0, 0], [8, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 8, 0], [8, 0, 0, 0, 8, 8, 0, 8, 0, 0, 8, 8, 0, 0, 8], [0, 0, 8, 8, 8, 8, 0, 8, 8, 0, 8, 8, 8, 0, 0], [8, 0, 0, 8, 8, 8, 8, 0, 8, 8, 0, 0, 0, 0, 8], [8, 0, 0, 0, 0, 8, 8, 8, 0, 8, 0, 0, 8, 0, 0], [0, 0, 0, 0, 0, 0, 0, 8, 0, 8, 8, 8, 8, 8, 0], [8, 8, 0, 0, 8, 0, 0, 0, 8, 0, 0, 8, 8, 8, 8], [0, 0, 0, 8, 8, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0], [0, 0, 0, 8, 0, 8, 8, 8, 0, 0, 8, 0, 8, 8, 8], [0, 8, 8, 8, 0, 8, 0, 0, 8, 0, 8, 8, 0, 8, 0], [8, 0, 8, 0, 0, 0, 8, 8, 8, 0, 0, 8, 0, 8, 0], [0, 4, 4, 0, 4, 0, 0, 4, 4, 0, 4, 0, 4, 0, 4], [0, 0, 0, 4, 0, 0, 0, 0, 4, 4, 0, 4, 0, 4, 0], [0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 4, 0, 4, 4], [4, 4, 4, 0, 0, 0, 0, 0, 4, 0, 4, 0, 4, 4, 4], [0, 4, 4, 0, 0, 4, 0, 4, 0, 0, 4, 0, 4, 0, 0], [4, 4, 4, 4, 4, 4, 0, 4, 0, 0, 0, 4, 4, 0, 4], [0, 0, 0, 0, 4, 0, 0, 4, 0, 4, 0, 4, 4, 4, 0], [4, 4, 0, 0, 4, 0, 4, 4, 0, 0, 0, 0, 0, 4, 4], [4, 0, 4, 4, 4, 4, 4, 0, 4, 4, 0, 4, 4, 0, 4], [4, 0, 0, 0, 4, 0, 4, 4, 0, 4, 0, 4, 0, 0, 4], [0, 0, 4, 4, 0, 0, 4, 0, 4, 0, 4, 4, 0, 0, 0], [0, 0, 0, 4, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4], [0, 0, 0, 0, 4, 4, 4, 4, 0, 0, 4, 4, 4, 0, 4], [4, 4, 0, 0, 4, 4, 0, 0, 4, 0, 4, 4, 4, 0, 4], [0, 4, 0, 4, 0, 0, 0, 4, 4, 0, 4, 4, 4, 4, 4]] -> [[0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0], [0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0], [2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0], [0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0], [2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2], [0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0], [2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2], [2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0], [0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0], [0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0], [0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2], [0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0], [0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0]]\nExample input-output arrays:\n[[8, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 8, 8, 8, 8], [8, 0, 8, 0, 8, 0, 0, 0, 8, 0, 8, 8, 0, 0, 8], [8, 8, 0, 0, 8, 8, 0, 0, 0, 8, 0, 0, 8, 0, 8], [8, 8, 0, 8, 0, 0, 8, 0, 8, 8, 8, 0, 0, 8, 0], [0, 8, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 0], [0, 0, 8, 8, 0, 8, 0, 8, 8, 8, 0, 0, 0, 0, 8], [0, 8, 8, 8, 8, 8, 0, 8, 0, 0, 0, 8, 0, 0, 0], [0, 8, 8, 8, 8, 0, 0, 8, 8, 0, 8, 0, 8, 0, 0], [0, 0, 8, 0, 8, 8, 0, 0, 0, 8, 8, 8, 0, 8, 8], [0, 8, 8, 8, 0, 0, 8, 8, 0, 0, 8, 8, 8, 8, 0], [8, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 8], [8, 8, 0, 0, 0, 8, 8, 0, 8, 0, 8, 0, 0, 8, 8], [8, 0, 0, 8, 8, 0, 0, 8, 8, 8, 8, 8, 8, 8, 0], [8, 0, 0, 8, 0, 8, 8, 0, 0, 8, 8, 8, 8, 0, 8], [0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 0], [4, 4, 4, 0, 0, 4, 4, 4, 4, 4, 0, 0, 4, 0, 4], [4, 4, 0, 0, 4, 4, 0, 4, 0, 0, 4, 4, 4, 4, 4], [4, 4, 4, 0, 4, 4, 4, 4, 4, 0, 4, 4, 0, 0, 4], [4, 4, 4, 0, 0, 0, 0, 4, 0, 4, 4, 0, 4, 0, 4], [4, 0, 4, 4, 4, 4, 0, 4, 0, 4, 4, 0, 0, 4, 0], [4, 0, 0, 4, 4, 4, 0, 4, 4, 0, 4, 4, 4, 4, 0], [0, 4, 0, 4, 0, 4, 0, 4, 4, 4, 0, 0, 0, 4, 4], [4, 0, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 0, 4, 0], [0, 0, 4, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 4, 0], [4, 0, 4, 4, 4, 0, 4, 4, 4, 0, 4, 0, 0, 4, 0], [4, 0, 0, 0, 0, 4, 4, 0, 4, 4, 4, 4, 0, 4, 0], [0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 4], [4, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 4, 4], [0, 0, 0, 4, 0, 4, 0, 0, 4, 0, 4, 0, 0, 0, 4], [0, 4, 0, 4, 4, 4, 4, 4, 0, 4, 4, 4, 0, 0, 4]] -> [[2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2], [2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2], [2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2], [2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0], [0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0], [0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0], [0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0], [0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0], [0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0], [0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0], [2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0], [0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2], [2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0], [0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2], [0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0]]\nExample input-output arrays:\n[[0, 8, 0, 8, 8, 0, 8, 8, 0, 0, 8, 0, 8, 0, 0], [8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [8, 8, 0, 8, 0, 8, 8, 0, 8, 8, 0, 0, 0, 8, 0], [8, 8, 0, 0, 0, 0, 8, 0, 8, 0, 8, 0, 0, 0, 0], [8, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 8, 0], [8, 0, 0, 0, 8, 8, 0, 8, 0, 0, 8, 8, 0, 0, 8], [0, 0, 8, 8, 8, 8, 0, 8, 8, 0, 8, 8, 8, 0, 0], [8, 0, 0, 8, 8, 8, 8, 0, 8, 8, 0, 0, 0, 0, 8], [8, 0, 0, 0, 0, 8, 8, 8, 0, 8, 0, 0, 8, 0, 0], [0, 0, 0, 0, 0, 0, 0, 8, 0, 8, 8, 8, 8, 8, 0], [8, 8, 0, 0, 8, 0, 0, 0, 8, 0, 0, 8, 8, 8, 8], [0, 0, 0, 8, 8, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0], [0, 0, 0, 8, 0, 8, 8, 8, 0, 0, 8, 0, 8, 8, 8], [0, 8, 8, 8, 0, 8, 0, 0, 8, 0, 8, 8, 0, 8, 0], [8, 0, 8, 0, 0, 0, 8, 8, 8, 0, 0, 8, 0, 8, 0], [0, 4, 4, 0, 4, 0, 0, 4, 4, 0, 4, 0, 4, 0, 4], [0, 0, 0, 4, 0, 0, 0, 0, 4, 4, 0, 4, 0, 4, 0], [0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 4, 0, 4, 4], [4, 4, 4, 0, 0, 0, 0, 0, 4, 0, 4, 0, 4, 4, 4], [0, 4, 4, 0, 0, 4, 0, 4, 0, 0, 4, 0, 4, 0, 0], [4, 4, 4, 4, 4, 4, 0, 4, 0, 0, 0, 4, 4, 0, 4], [0, 0, 0, 0, 4, 0, 0, 4, 0, 4, 0, 4, 4, 4, 0], [4, 4, 0, 0, 4, 0, 4, 4, 0, 0, 0, 0, 0, 4, 4], [4, 0, 4, 4, 4, 4, 4, 0, 4, 4, 0, 4, 4, 0, 4], [4, 0, 0, 0, 4, 0, 4, 4, 0, 4, 0, 4, 0, 0, 4], [0, 0, 4, 4, 0, 0, 4, 0, 4, 0, 4, 4, 0, 0, 0], [0, 0, 0, 4, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4], [0, 0, 0, 0, 4, 4, 4, 4, 0, 0, 4, 4, 4, 0, 4], [4, 4, 0, 0, 4, 4, 0, 0, 4, 0, 4, 4, 4, 0, 4], [0, 4, 0, 4, 0, 0, 0, 4, 4, 0, 4, 4, 4, 4, 4]] -> [[0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0], [0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0], [2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0], [0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0], [2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2], [0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0], [2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2], [2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0], [0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0], [0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0], [0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2], [0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0], [0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[8, 8, 0, 8, 8, 8, 0, 0, 0, 0, 8, 0, 8, 8, 0], [0, 0, 0, 0, 8, 0, 0, 0, 8, 8, 0, 8, 8, 8, 0], [8, 8, 8, 0, 0, 0, 8, 8, 0, 0, 8, 8, 8, 0, 8], [8, 0, 0, 0, 0, 8, 8, 8, 0, 8, 0, 8, 0, 0, 0], [0, 8, 0, 8, 0, 0, 8, 8, 8, 0, 0, 8, 0, 0, 0], [0, 8, 8, 8, 8, 0, 8, 8, 0, 0, 8, 8, 8, 8, 8], [0, 0, 0, 0, 8, 8, 0, 0, 8, 0, 0, 8, 0, 0, 8], [8, 8, 0, 0, 8, 0, 0, 8, 8, 0, 8, 0, 8, 0, 8], [0, 0, 8, 0, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 8], [0, 0, 8, 8, 8, 8, 0, 8, 8, 0, 0, 0, 8, 8, 0], [8, 0, 8, 8, 0, 0, 0, 0, 8, 8, 8, 8, 8, 0, 0], [0, 0, 8, 8, 8, 8, 0, 8, 8, 8, 8, 0, 8, 0, 0], [8, 0, 8, 8, 8, 0, 0, 8, 0, 8, 8, 0, 8, 0, 0], [8, 0, 0, 0, 0, 8, 0, 0, 8, 0, 0, 8, 0, 0, 8], [8, 0, 0, 0, 8, 8, 0, 8, 8, 8, 0, 8, 8, 8, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            8,
+                            8,
+                            0,
+                            8,
+                            8,
+                            8,
+                            0,
+                            0,
+                            0,
+                            0,
+                            8,
+                            0,
+                            8,
+                            8,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            8,
+                            0,
+                            0,
+                            0,
+                            8,
+                            8,
+                            0,
+                            8,
+                            8,
+                            8,
+                            0
+                        ],
+                        [
+                            8,
+                            8,
+                            8,
+                            0,
+                            0,
+                            0,
+                            8,
+                            8,
+                            0,
+                            0,
+                            8,
+                            8,
+                            8,
+                            0,
+                            8
+                        ],
+                        [
+                            8,
+                            0,
+                            0,
+                            0,
+                            0,
+                            8,
+                            8,
+                            8,
+                            0,
+                            8,
+                            0,
+                            8,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
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+                            0,
+                            8,
+                            0,
+                            0,
+                            8,
+                            8,
+                            8,
+                            0,
+                            0,
+                            8,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            8,
+                            8,
+                            8,
+                            8,
+                            0,
+                            8,
+                            8,
+                            0,
+                            0,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            8,
+                            8,
+                            0,
+                            0,
+                            8,
+                            0,
+                            0,
+                            8,
+                            0,
+                            0,
+                            8
+                        ],
+                        [
+                            8,
+                            8,
+                            0,
+                            0,
+                            8,
+                            0,
+                            0,
+                            8,
+                            8,
+                            0,
+                            8,
+                            0,
+                            8,
+                            0,
+                            8
+                        ],
+                        [
+                            0,
+                            0,
+                            8,
+                            0,
+                            8,
+                            8,
+                            8,
+                            8,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            8
+                        ],
+                        [
+                            0,
+                            0,
+                            8,
+                            8,
+                            8,
+                            8,
+                            0,
+                            8,
+                            8,
+                            0,
+                            0,
+                            0,
+                            8,
+                            8,
+                            0
+                        ],
+                        [
+                            8,
+                            0,
+                            8,
+                            8,
+                            0,
+                            0,
+                            0,
+                            0,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            0,
+                            0
+                        ],
+                        [
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+                            8,
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+                            0,
+                            8,
+                            8,
+                            8,
+                            8,
+                            0,
+                            8,
+                            0,
+                            0
+                        ],
+                        [
+                            8,
+                            0,
+                            8,
+                            8,
+                            8,
+                            0,
+                            0,
+                            8,
+                            0,
+                            8,
+                            8,
+                            0,
+                            8,
+                            0,
+                            0
+                        ],
+                        [
+                            8,
+                            0,
+                            0,
+                            0,
+                            0,
+                            8,
+                            0,
+                            0,
+                            8,
+                            0,
+                            0,
+                            8,
+                            0,
+                            0,
+                            8
+                        ],
+                        [
+                            8,
+                            0,
+                            0,
+                            0,
+                            8,
+                            8,
+                            0,
+                            8,
+                            8,
+                            8,
+                            0,
+                            8,
+                            8,
+                            8,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
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+                        [
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+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
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+                            0,
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+                        [
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+                            0,
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+                        [
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+                        [
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+                            0,
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+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
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+                        [
+                            0,
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+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
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+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ]
+                    ],
+                    "output": [
+                        [
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
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+                            0
+                        ],
+                        [
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+                            0,
+                            0,
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+                            0,
+                            2,
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+                        [
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+                            0,
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+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
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+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
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+                            0
+                        ],
+                        [
+                            0,
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+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
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+                            0,
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+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
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+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
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+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
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+                            0,
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+                        [
+                            0,
+                            0,
+                            0,
+                            2,
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+                            2,
+                            0,
+                            0,
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+                            0,
+                            0,
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+                        [
+                            0,
+                            0,
+                            0,
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+                            2,
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+                        [
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            2,
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+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
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+                        [
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
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+                            2,
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+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
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+                            0,
+                            0,
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+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
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+                            0,
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+                            2,
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+                    ]
+                }
+            },
+            "Replicate 1": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[8, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 8, 8, 8, 8], [8, 0, 8, 0, 8, 0, 0, 0, 8, 0, 8, 8, 0, 0, 8], [8, 8, 0, 0, 8, 8, 0, 0, 0, 8, 0, 0, 8, 0, 8], [8, 8, 0, 8, 0, 0, 8, 0, 8, 8, 8, 0, 0, 8, 0], [0, 8, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 0], [0, 0, 8, 8, 0, 8, 0, 8, 8, 8, 0, 0, 0, 0, 8], [0, 8, 8, 8, 8, 8, 0, 8, 0, 0, 0, 8, 0, 0, 0], [0, 8, 8, 8, 8, 0, 0, 8, 8, 0, 8, 0, 8, 0, 0], [0, 0, 8, 0, 8, 8, 0, 0, 0, 8, 8, 8, 0, 8, 8], [0, 8, 8, 8, 0, 0, 8, 8, 0, 0, 8, 8, 8, 8, 0], [8, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 8], [8, 8, 0, 0, 0, 8, 8, 0, 8, 0, 8, 0, 0, 8, 8], [8, 0, 0, 8, 8, 0, 0, 8, 8, 8, 8, 8, 8, 8, 0], [8, 0, 0, 8, 0, 8, 8, 0, 0, 8, 8, 8, 8, 0, 8], [0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 0], [4, 4, 4, 0, 0, 4, 4, 4, 4, 4, 0, 0, 4, 0, 4], [4, 4, 0, 0, 4, 4, 0, 4, 0, 0, 4, 4, 4, 4, 4], [4, 4, 4, 0, 4, 4, 4, 4, 4, 0, 4, 4, 0, 0, 4], [4, 4, 4, 0, 0, 0, 0, 4, 0, 4, 4, 0, 4, 0, 4], [4, 0, 4, 4, 4, 4, 0, 4, 0, 4, 4, 0, 0, 4, 0], [4, 0, 0, 4, 4, 4, 0, 4, 4, 0, 4, 4, 4, 4, 0], [0, 4, 0, 4, 0, 4, 0, 4, 4, 4, 0, 0, 0, 4, 4], [4, 0, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 0, 4, 0], [0, 0, 4, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 4, 0], [4, 0, 4, 4, 4, 0, 4, 4, 4, 0, 4, 0, 0, 4, 0], [4, 0, 0, 0, 0, 4, 4, 0, 4, 4, 4, 4, 0, 4, 0], [0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 4], [4, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 4, 4], [0, 0, 0, 4, 0, 4, 0, 0, 4, 0, 4, 0, 0, 0, 4], [0, 4, 0, 4, 4, 4, 4, 4, 0, 4, 4, 4, 0, 0, 4]] -> [[2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2], [2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2], [2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2], [2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0], [0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0], [0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0], [0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0], [0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0], [0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0], [0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0], [2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0], [0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2], [2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0], [0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2], [0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0]]\nExample input-output arrays:\n[[8, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 8, 8, 8, 8], [8, 0, 8, 0, 8, 0, 0, 0, 8, 0, 8, 8, 0, 0, 8], [8, 8, 0, 0, 8, 8, 0, 0, 0, 8, 0, 0, 8, 0, 8], [8, 8, 0, 8, 0, 0, 8, 0, 8, 8, 8, 0, 0, 8, 0], [0, 8, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 0], [0, 0, 8, 8, 0, 8, 0, 8, 8, 8, 0, 0, 0, 0, 8], [0, 8, 8, 8, 8, 8, 0, 8, 0, 0, 0, 8, 0, 0, 0], [0, 8, 8, 8, 8, 0, 0, 8, 8, 0, 8, 0, 8, 0, 0], [0, 0, 8, 0, 8, 8, 0, 0, 0, 8, 8, 8, 0, 8, 8], [0, 8, 8, 8, 0, 0, 8, 8, 0, 0, 8, 8, 8, 8, 0], [8, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 8], [8, 8, 0, 0, 0, 8, 8, 0, 8, 0, 8, 0, 0, 8, 8], [8, 0, 0, 8, 8, 0, 0, 8, 8, 8, 8, 8, 8, 8, 0], [8, 0, 0, 8, 0, 8, 8, 0, 0, 8, 8, 8, 8, 0, 8], [0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 0], [4, 4, 4, 0, 0, 4, 4, 4, 4, 4, 0, 0, 4, 0, 4], [4, 4, 0, 0, 4, 4, 0, 4, 0, 0, 4, 4, 4, 4, 4], [4, 4, 4, 0, 4, 4, 4, 4, 4, 0, 4, 4, 0, 0, 4], [4, 4, 4, 0, 0, 0, 0, 4, 0, 4, 4, 0, 4, 0, 4], [4, 0, 4, 4, 4, 4, 0, 4, 0, 4, 4, 0, 0, 4, 0], [4, 0, 0, 4, 4, 4, 0, 4, 4, 0, 4, 4, 4, 4, 0], [0, 4, 0, 4, 0, 4, 0, 4, 4, 4, 0, 0, 0, 4, 4], [4, 0, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 0, 4, 0], [0, 0, 4, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 4, 0], [4, 0, 4, 4, 4, 0, 4, 4, 4, 0, 4, 0, 0, 4, 0], [4, 0, 0, 0, 0, 4, 4, 0, 4, 4, 4, 4, 0, 4, 0], [0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 4], [4, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 4, 4], [0, 0, 0, 4, 0, 4, 0, 0, 4, 0, 4, 0, 0, 0, 4], [0, 4, 0, 4, 4, 4, 4, 4, 0, 4, 4, 4, 0, 0, 4]] -> [[2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2], [2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2], [2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2], [2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0], [0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0], [0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0], [0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0], [0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0], [0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0], [0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0], [2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0], [0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2], [2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0], [0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2], [0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0]]\nExample input-output arrays:\n[[8, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 8, 8, 8, 8], [8, 0, 8, 0, 8, 0, 0, 0, 8, 0, 8, 8, 0, 0, 8], [8, 8, 0, 0, 8, 8, 0, 0, 0, 8, 0, 0, 8, 0, 8], [8, 8, 0, 8, 0, 0, 8, 0, 8, 8, 8, 0, 0, 8, 0], [0, 8, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 0], [0, 0, 8, 8, 0, 8, 0, 8, 8, 8, 0, 0, 0, 0, 8], [0, 8, 8, 8, 8, 8, 0, 8, 0, 0, 0, 8, 0, 0, 0], [0, 8, 8, 8, 8, 0, 0, 8, 8, 0, 8, 0, 8, 0, 0], [0, 0, 8, 0, 8, 8, 0, 0, 0, 8, 8, 8, 0, 8, 8], [0, 8, 8, 8, 0, 0, 8, 8, 0, 0, 8, 8, 8, 8, 0], [8, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 8], [8, 8, 0, 0, 0, 8, 8, 0, 8, 0, 8, 0, 0, 8, 8], [8, 0, 0, 8, 8, 0, 0, 8, 8, 8, 8, 8, 8, 8, 0], [8, 0, 0, 8, 0, 8, 8, 0, 0, 8, 8, 8, 8, 0, 8], [0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 0], [4, 4, 4, 0, 0, 4, 4, 4, 4, 4, 0, 0, 4, 0, 4], [4, 4, 0, 0, 4, 4, 0, 4, 0, 0, 4, 4, 4, 4, 4], [4, 4, 4, 0, 4, 4, 4, 4, 4, 0, 4, 4, 0, 0, 4], [4, 4, 4, 0, 0, 0, 0, 4, 0, 4, 4, 0, 4, 0, 4], [4, 0, 4, 4, 4, 4, 0, 4, 0, 4, 4, 0, 0, 4, 0], [4, 0, 0, 4, 4, 4, 0, 4, 4, 0, 4, 4, 4, 4, 0], [0, 4, 0, 4, 0, 4, 0, 4, 4, 4, 0, 0, 0, 4, 4], [4, 0, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 0, 4, 0], [0, 0, 4, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 4, 0], [4, 0, 4, 4, 4, 0, 4, 4, 4, 0, 4, 0, 0, 4, 0], [4, 0, 0, 0, 0, 4, 4, 0, 4, 4, 4, 4, 0, 4, 0], [0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 4], [4, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 4, 4], [0, 0, 0, 4, 0, 4, 0, 0, 4, 0, 4, 0, 0, 0, 4], [0, 4, 0, 4, 4, 4, 4, 4, 0, 4, 4, 4, 0, 0, 4]] -> [[2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2], [2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2], [2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2], [2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0], [0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0], [0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0], [0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0], [0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0], [0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0], [0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0], [2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0], [0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2], [2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0], [0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2], [0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 8, 0, 0, 8, 8, 8, 0, 0, 8, 8, 0, 8, 0, 8], [8, 8, 8, 0, 8, 0, 8, 8, 0, 8, 0, 8, 8, 0, 0], [0, 8, 8, 8, 0, 8, 0, 8, 8, 0, 8, 8, 8, 8, 8], [0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 8], [0, 8, 8, 0, 0, 8, 0, 8, 0, 0, 0, 0, 8, 0, 8], [0, 8, 8, 8, 8, 0, 8, 0, 0, 8, 0, 8, 0, 0, 8], [0, 8, 8, 8, 8, 0, 0, 8, 0, 8, 8, 0, 8, 0, 0], [8, 8, 8, 0, 0, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0], [0, 8, 8, 8, 0, 0, 0, 8, 0, 0, 0, 8, 8, 8, 8], [8, 0, 8, 0, 0, 8, 0, 0, 8, 8, 0, 0, 8, 0, 8], [8, 0, 8, 8, 0, 0, 8, 0, 0, 8, 0, 0, 0, 0, 0], [8, 0, 8, 8, 8, 8, 8, 0, 8, 8, 8, 0, 0, 8, 8], [8, 0, 8, 8, 8, 8, 0, 8, 0, 0, 8, 0, 0, 8, 8], [0, 0, 0, 8, 0, 0, 0, 0, 8, 0, 0, 0, 0, 8, 0], [8, 8, 8, 8, 8, 8, 0, 8, 8, 8, 8, 0, 8, 8, 0], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]] -> ",
+                "test": {
+                    "input": [
+                        [
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+                        ],
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+                        ],
+                        [
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+                        [
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+                    "output": [
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+            },
+            "Replicate 2": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 8, 0, 8, 8, 0, 8, 8, 0, 0, 8, 0, 8, 0, 0], [8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [8, 8, 0, 8, 0, 8, 8, 0, 8, 8, 0, 0, 0, 8, 0], [8, 8, 0, 0, 0, 0, 8, 0, 8, 0, 8, 0, 0, 0, 0], [8, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 8, 0], [8, 0, 0, 0, 8, 8, 0, 8, 0, 0, 8, 8, 0, 0, 8], [0, 0, 8, 8, 8, 8, 0, 8, 8, 0, 8, 8, 8, 0, 0], [8, 0, 0, 8, 8, 8, 8, 0, 8, 8, 0, 0, 0, 0, 8], [8, 0, 0, 0, 0, 8, 8, 8, 0, 8, 0, 0, 8, 0, 0], [0, 0, 0, 0, 0, 0, 0, 8, 0, 8, 8, 8, 8, 8, 0], [8, 8, 0, 0, 8, 0, 0, 0, 8, 0, 0, 8, 8, 8, 8], [0, 0, 0, 8, 8, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0], [0, 0, 0, 8, 0, 8, 8, 8, 0, 0, 8, 0, 8, 8, 8], [0, 8, 8, 8, 0, 8, 0, 0, 8, 0, 8, 8, 0, 8, 0], [8, 0, 8, 0, 0, 0, 8, 8, 8, 0, 0, 8, 0, 8, 0], [0, 4, 4, 0, 4, 0, 0, 4, 4, 0, 4, 0, 4, 0, 4], [0, 0, 0, 4, 0, 0, 0, 0, 4, 4, 0, 4, 0, 4, 0], [0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 4, 0, 4, 4], [4, 4, 4, 0, 0, 0, 0, 0, 4, 0, 4, 0, 4, 4, 4], [0, 4, 4, 0, 0, 4, 0, 4, 0, 0, 4, 0, 4, 0, 0], [4, 4, 4, 4, 4, 4, 0, 4, 0, 0, 0, 4, 4, 0, 4], [0, 0, 0, 0, 4, 0, 0, 4, 0, 4, 0, 4, 4, 4, 0], [4, 4, 0, 0, 4, 0, 4, 4, 0, 0, 0, 0, 0, 4, 4], [4, 0, 4, 4, 4, 4, 4, 0, 4, 4, 0, 4, 4, 0, 4], [4, 0, 0, 0, 4, 0, 4, 4, 0, 4, 0, 4, 0, 0, 4], [0, 0, 4, 4, 0, 0, 4, 0, 4, 0, 4, 4, 0, 0, 0], [0, 0, 0, 4, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4], [0, 0, 0, 0, 4, 4, 4, 4, 0, 0, 4, 4, 4, 0, 4], [4, 4, 0, 0, 4, 4, 0, 0, 4, 0, 4, 4, 4, 0, 4], [0, 4, 0, 4, 0, 0, 0, 4, 4, 0, 4, 4, 4, 4, 4]] -> [[0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0], [0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0], [2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0], [0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0], [2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2], [0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0], [2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2], [2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0], [0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0], [0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0], [0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2], [0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0], [0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0]]\nExample input-output arrays:\n[[8, 0, 8, 0, 8, 8, 0, 0, 0, 8, 8, 8, 8, 0, 0], [0, 8, 8, 8, 0, 8, 0, 0, 8, 0, 0, 0, 8, 0, 0], [0, 0, 0, 8, 8, 0, 0, 0, 0, 8, 8, 8, 0, 8, 8], [8, 0, 8, 0, 8, 0, 8, 0, 8, 8, 0, 8, 8, 0, 8], [8, 8, 8, 8, 0, 0, 8, 0, 8, 0, 0, 0, 8, 0, 8], [8, 0, 0, 0, 0, 0, 0, 8, 0, 8, 8, 0, 8, 8, 8], [0, 0, 0, 8, 8, 8, 0, 8, 8, 8, 0, 0, 8, 8, 8], [8, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0], [8, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 8, 0, 0], [0, 8, 0, 0, 8, 0, 0, 8, 0, 8, 0, 0, 8, 0, 8], [8, 0, 8, 0, 0, 0, 0, 0, 8, 0, 0, 8, 8, 8, 8], [8, 0, 0, 8, 0, 8, 0, 8, 8, 8, 8, 0, 0, 0, 0], [8, 0, 8, 0, 8, 8, 0, 8, 0, 0, 8, 8, 0, 8, 0], [0, 8, 0, 8, 8, 8, 0, 8, 8, 8, 0, 8, 8, 8, 0], [0, 8, 0, 8, 8, 8, 0, 0, 8, 8, 0, 0, 8, 8, 8], [4, 0, 0, 4, 0, 4, 0, 4, 0, 4, 4, 4, 0, 0, 0], [4, 0, 4, 0, 4, 4, 0, 0, 0, 4, 0, 0, 4, 0, 4], [0, 0, 4, 4, 0, 4, 4, 4, 0, 0, 0, 4, 0, 4, 0], [0, 0, 4, 0, 4, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4], [0, 4, 4, 4, 4, 4, 4, 4, 0, 4, 4, 0, 0, 0, 4], [4, 4, 0, 0, 4, 4, 4, 4, 0, 4, 0, 0, 0, 0, 4], [4, 0, 4, 4, 0, 4, 4, 0, 0, 0, 4, 0, 4, 4, 0], [0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 4, 4, 0, 4], [0, 0, 4, 0, 4, 4, 0, 0, 4, 0, 4, 4, 4, 0, 4], [4, 4, 0, 0, 4, 4, 0, 4, 4, 0, 4, 0, 0, 4, 0], [4, 0, 0, 0, 0, 0, 0, 4, 0, 4, 0, 4, 0, 0, 0], [4, 4, 4, 0, 4, 4, 0, 4, 0, 0, 0, 0, 4, 4, 4], [0, 0, 4, 4, 4, 4, 4, 4, 0, 0, 4, 0, 0, 0, 0], [0, 4, 0, 4, 4, 4, 0, 0, 4, 4, 4, 4, 0, 0, 0], [0, 0, 0, 0, 4, 0, 0, 0, 4, 4, 0, 4, 0, 0, 4]] -> [[2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0], [0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0], [0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0], [0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2], [0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2], [2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2], [0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0], [0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0], [0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0], [2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0], [2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0], [0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0], [0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0], [0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2]]\nExample input-output arrays:\n[[8, 8, 0, 0, 8, 0, 8, 8, 8, 8, 8, 0, 0, 8, 0], [8, 8, 8, 8, 0, 8, 0, 0, 8, 0, 0, 8, 0, 8, 8], [0, 8, 0, 8, 8, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8], [0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 8, 0, 0, 0, 8], [0, 0, 0, 8, 8, 8, 0, 8, 8, 0, 8, 8, 8, 0, 0], [8, 8, 0, 8, 0, 8, 8, 0, 0, 8, 0, 8, 0, 0, 8], [0, 8, 0, 0, 0, 0, 8, 0, 8, 8, 8, 8, 8, 8, 0], [0, 0, 8, 0, 0, 8, 8, 8, 0, 8, 0, 8, 0, 0, 8], [0, 0, 8, 0, 8, 8, 8, 8, 8, 0, 0, 8, 8, 8, 0], [0, 8, 0, 8, 8, 0, 8, 8, 8, 8, 8, 0, 0, 0, 8], [0, 8, 0, 8, 0, 8, 8, 8, 8, 0, 0, 0, 0, 8, 0], [8, 8, 8, 0, 8, 8, 0, 8, 8, 8, 0, 8, 0, 8, 8], [0, 0, 8, 8, 8, 8, 0, 0, 0, 0, 8, 8, 8, 0, 0], [0, 8, 8, 8, 0, 8, 8, 8, 8, 8, 0, 0, 0, 0, 0], [8, 0, 8, 0, 8, 0, 0, 8, 8, 8, 0, 8, 0, 0, 8], [0, 4, 0, 4, 0, 0, 0, 4, 4, 4, 4, 4, 4, 0, 4], [4, 0, 4, 4, 4, 4, 0, 4, 0, 4, 0, 4, 0, 4, 4], [4, 0, 4, 0, 4, 4, 4, 0, 0, 4, 4, 4, 0, 0, 4], [0, 4, 0, 0, 4, 4, 4, 0, 0, 4, 0, 4, 4, 0, 4], [4, 0, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 0, 4, 4], [0, 0, 4, 0, 4, 4, 0, 4, 0, 0, 0, 4, 0, 4, 4], [4, 0, 4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 4], [4, 4, 4, 0, 4, 4, 4, 4, 4, 0, 0, 0, 4, 4, 4], [4, 0, 4, 0, 4, 0, 0, 0, 0, 0, 4, 4, 4, 4, 0], [4, 4, 4, 0, 0, 4, 0, 4, 4, 0, 0, 4, 0, 0, 4], [4, 0, 0, 0, 0, 4, 0, 4, 0, 4, 4, 0, 0, 0, 4], [4, 0, 4, 0, 0, 0, 0, 4, 0, 0, 4, 4, 0, 0, 4], [0, 4, 4, 0, 4, 0, 4, 0, 4, 4, 0, 4, 4, 4, 4], [0, 0, 0, 4, 0, 0, 4, 4, 4, 4, 4, 0, 0, 0, 0], [4, 0, 0, 0, 0, 4, 0, 4, 4, 4, 4, 0, 4, 4, 4]] -> [[0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0], [2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2], [0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2], [0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2], [0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0], [0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2], [0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0], [0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2], [0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0], [0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2], [0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0], [2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2], [0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0], [0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2]]\nCounterfactual: Now imagine that we intervened on the previous input by changing the causal function for some elements.\n[[0, 0, 8, 8, 0, 8, 0, 0, 0, 0, 0, 8, 8, 0, 8], [0, 0, 0, 0, 8, 0, 8, 8, 0, 8, 8, 0, 8, 0, 0], [8, 0, 8, 0, 0, 8, 0, 8, 8, 8, 0, 8, 8, 8, 0], [8, 8, 8, 8, 0, 8, 8, 8, 8, 8, 0, 8, 8, 8, 0], [8, 8, 8, 0, 0, 0, 8, 0, 0, 8, 0, 0, 0, 8, 8], [0, 0, 8, 0, 8, 0, 0, 8, 8, 0, 8, 0, 8, 8, 0], [8, 0, 8, 8, 8, 8, 0, 8, 0, 0, 0, 0, 0, 0, 8], [8, 8, 0, 8, 8, 0, 0, 0, 8, 0, 8, 0, 8, 8, 0], [8, 8, 0, 8, 0, 0, 0, 0, 0, 8, 8, 0, 0, 0, 8], [8, 0, 8, 0, 0, 8, 0, 0, 0, 0, 0, 8, 8, 8, 0], [8, 0, 8, 0, 8, 0, 0, 0, 0, 8, 8, 8, 8, 0, 8], [0, 0, 0, 8, 0, 0, 8, 0, 0, 0, 8, 0, 8, 0, 0], [8, 8, 0, 0, 0, 0, 8, 8, 8, 8, 0, 0, 0, 8, 8], [8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 8, 8, 8, 8, 8], [0, 8, 0, 8, 0, 8, 8, 0, 0, 0, 8, 0, 8, 8, 0], [0, 4, 4, 4, 0, 4, 0, 4, 0, 0, 4, 4, 4, 4, 4], [0, 0, 4, 0, 4, 4, 4, 0, 0, 0, 4, 4, 4, 4, 0], [0, 4, 4, 4, 0, 4, 4, 0, 0, 4, 0, 4, 4, 0, 4], [0, 4, 4, 4, 0, 4, 0, 4, 0, 0, 0, 0, 0, 0, 4], [4, 4, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 4, 0, 4], [4, 0, 0, 4, 0, 0, 0, 0, 0, 4, 0, 0, 4, 4, 4], [4, 4, 0, 0, 4, 0, 0, 4, 4, 4, 4, 4, 4, 0, 4], [0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 4, 4, 0], [4, 4, 0, 0, 4, 0, 4, 4, 0, 0, 4, 4, 4, 0, 0], [4, 4, 4, 4, 4, 4, 0, 0, 4, 0, 0, 4, 0, 4, 0], [0, 4, 0, 0, 4, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0], [0, 4, 4, 4, 4, 4, 0, 4, 4, 0, 4, 0, 0, 0, 0], [0, 0, 4, 4, 0, 4, 0, 0, 4, 0, 4, 0, 0, 0, 0], [0, 4, 0, 0, 0, 4, 4, 0, 4, 4, 0, 4, 4, 0, 0], [4, 4, 0, 4, 4, 0, 0, 0, 4, 0, 4, 4, 0, 4, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            0,
+                            0,
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+                        [
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+                        [
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+                            8,
+                            8,
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+                        [
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+                        [
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+                            8,
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+                        [
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+                            8,
+                            8,
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+                            0,
+                            0,
+                            0,
+                            0,
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+                        ],
+                        [
+                            8,
+                            8,
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+                            8,
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+                            0,
+                            8,
+                            0,
+                            8,
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+                        [
+                            8,
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+                            0,
+                            0,
+                            0,
+                            0,
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+                            8,
+                            0,
+                            0,
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+                        ],
+                        [
+                            8,
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+                            8,
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+                            0,
+                            8,
+                            0,
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+                            0,
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+                        ],
+                        [
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+                        [
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+                        [
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+                        [
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+                        ],
+                        [
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+                        ],
+                        [
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+                        ],
+                        [
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+                        ],
+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                            0,
+                            4,
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+                            4,
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+                        ],
+                        [
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+                            4,
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+                            4,
+                            4,
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+                            4,
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+                        ],
+                        [
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+                            4,
+                            4,
+                            0,
+                            4,
+                            0,
+                            0,
+                            4,
+                            0,
+                            4,
+                            0,
+                            0,
+                            0,
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+                        ],
+                        [
+                            0,
+                            4,
+                            0,
+                            0,
+                            0,
+                            4,
+                            4,
+                            0,
+                            4,
+                            4,
+                            0,
+                            4,
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+                            0
+                        ],
+                        [
+                            4,
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+                            0,
+                            4,
+                            0,
+                            4,
+                            4,
+                            0,
+                            4,
+                            0
+                        ]
+                    ],
+                    "output": [
+                        [
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
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+                            0,
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+                            2,
+                            2,
+                            2
+                        ],
+                        [
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+                            2,
+                            2,
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+                        ],
+                        [
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+                            2,
+                            0,
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+                            2,
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+                        ],
+                        [
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+                            2,
+                            0,
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+                            0,
+                            2,
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+                        ],
+                        [
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+                            0,
+                            0,
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+                            0,
+                            0,
+                            0,
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+                            2,
+                            0,
+                            2,
+                            2
+                        ],
+                        [
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+                            2,
+                            0,
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+                            2,
+                            0
+                        ],
+                        [
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+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            2
+                        ],
+                        [
+                            0,
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+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            2,
+                            2,
+                            0
+                        ],
+                        [
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0
+                        ],
+                        [
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0
+                        ],
+                        [
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0
+                        ],
+                        [
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0
+                        ]
+                    ]
+                }
+            },
+            "Replicate 3": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 8, 0, 8, 8, 0, 8, 8, 0, 0, 8, 0, 8, 0, 0], [8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [8, 8, 0, 8, 0, 8, 8, 0, 8, 8, 0, 0, 0, 8, 0], [8, 8, 0, 0, 0, 0, 8, 0, 8, 0, 8, 0, 0, 0, 0], [8, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 8, 0], [8, 0, 0, 0, 8, 8, 0, 8, 0, 0, 8, 8, 0, 0, 8], [0, 0, 8, 8, 8, 8, 0, 8, 8, 0, 8, 8, 8, 0, 0], [8, 0, 0, 8, 8, 8, 8, 0, 8, 8, 0, 0, 0, 0, 8], [8, 0, 0, 0, 0, 8, 8, 8, 0, 8, 0, 0, 8, 0, 0], [0, 0, 0, 0, 0, 0, 0, 8, 0, 8, 8, 8, 8, 8, 0], [8, 8, 0, 0, 8, 0, 0, 0, 8, 0, 0, 8, 8, 8, 8], [0, 0, 0, 8, 8, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0], [0, 0, 0, 8, 0, 8, 8, 8, 0, 0, 8, 0, 8, 8, 8], [0, 8, 8, 8, 0, 8, 0, 0, 8, 0, 8, 8, 0, 8, 0], [8, 0, 8, 0, 0, 0, 8, 8, 8, 0, 0, 8, 0, 8, 0], [0, 4, 4, 0, 4, 0, 0, 4, 4, 0, 4, 0, 4, 0, 4], [0, 0, 0, 4, 0, 0, 0, 0, 4, 4, 0, 4, 0, 4, 0], [0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 4, 0, 4, 4], [4, 4, 4, 0, 0, 0, 0, 0, 4, 0, 4, 0, 4, 4, 4], [0, 4, 4, 0, 0, 4, 0, 4, 0, 0, 4, 0, 4, 0, 0], [4, 4, 4, 4, 4, 4, 0, 4, 0, 0, 0, 4, 4, 0, 4], [0, 0, 0, 0, 4, 0, 0, 4, 0, 4, 0, 4, 4, 4, 0], [4, 4, 0, 0, 4, 0, 4, 4, 0, 0, 0, 0, 0, 4, 4], [4, 0, 4, 4, 4, 4, 4, 0, 4, 4, 0, 4, 4, 0, 4], [4, 0, 0, 0, 4, 0, 4, 4, 0, 4, 0, 4, 0, 0, 4], [0, 0, 4, 4, 0, 0, 4, 0, 4, 0, 4, 4, 0, 0, 0], [0, 0, 0, 4, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4], [0, 0, 0, 0, 4, 4, 4, 4, 0, 0, 4, 4, 4, 0, 4], [4, 4, 0, 0, 4, 4, 0, 0, 4, 0, 4, 4, 4, 0, 4], [0, 4, 0, 4, 0, 0, 0, 4, 4, 0, 4, 4, 4, 4, 4]] -> [[0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0], [0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0], [2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0], [0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0], [2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2], [0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0], [2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2], [2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0], [0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0], [0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0], [0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2], [0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0], [0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0]]\nExample input-output arrays:\n[[0, 8, 0, 8, 8, 0, 8, 8, 0, 0, 8, 0, 8, 0, 0], [8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [8, 8, 0, 8, 0, 8, 8, 0, 8, 8, 0, 0, 0, 8, 0], [8, 8, 0, 0, 0, 0, 8, 0, 8, 0, 8, 0, 0, 0, 0], [8, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 8, 0], [8, 0, 0, 0, 8, 8, 0, 8, 0, 0, 8, 8, 0, 0, 8], [0, 0, 8, 8, 8, 8, 0, 8, 8, 0, 8, 8, 8, 0, 0], [8, 0, 0, 8, 8, 8, 8, 0, 8, 8, 0, 0, 0, 0, 8], [8, 0, 0, 0, 0, 8, 8, 8, 0, 8, 0, 0, 8, 0, 0], [0, 0, 0, 0, 0, 0, 0, 8, 0, 8, 8, 8, 8, 8, 0], [8, 8, 0, 0, 8, 0, 0, 0, 8, 0, 0, 8, 8, 8, 8], [0, 0, 0, 8, 8, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0], [0, 0, 0, 8, 0, 8, 8, 8, 0, 0, 8, 0, 8, 8, 8], [0, 8, 8, 8, 0, 8, 0, 0, 8, 0, 8, 8, 0, 8, 0], [8, 0, 8, 0, 0, 0, 8, 8, 8, 0, 0, 8, 0, 8, 0], [0, 4, 4, 0, 4, 0, 0, 4, 4, 0, 4, 0, 4, 0, 4], [0, 0, 0, 4, 0, 0, 0, 0, 4, 4, 0, 4, 0, 4, 0], [0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 4, 0, 4, 4], [4, 4, 4, 0, 0, 0, 0, 0, 4, 0, 4, 0, 4, 4, 4], [0, 4, 4, 0, 0, 4, 0, 4, 0, 0, 4, 0, 4, 0, 0], [4, 4, 4, 4, 4, 4, 0, 4, 0, 0, 0, 4, 4, 0, 4], [0, 0, 0, 0, 4, 0, 0, 4, 0, 4, 0, 4, 4, 4, 0], [4, 4, 0, 0, 4, 0, 4, 4, 0, 0, 0, 0, 0, 4, 4], [4, 0, 4, 4, 4, 4, 4, 0, 4, 4, 0, 4, 4, 0, 4], [4, 0, 0, 0, 4, 0, 4, 4, 0, 4, 0, 4, 0, 0, 4], [0, 0, 4, 4, 0, 0, 4, 0, 4, 0, 4, 4, 0, 0, 0], [0, 0, 0, 4, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4], [0, 0, 0, 0, 4, 4, 4, 4, 0, 0, 4, 4, 4, 0, 4], [4, 4, 0, 0, 4, 4, 0, 0, 4, 0, 4, 4, 4, 0, 4], [0, 4, 0, 4, 0, 0, 0, 4, 4, 0, 4, 4, 4, 4, 4]] -> [[0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0], [0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0], [2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0], [0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0], [2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2], [0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0], [2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2], [2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0], [0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0], [0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0], [0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2], [0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0], [0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0]]\nExample input-output arrays:\n[[0, 0, 8, 0, 0, 0, 0, 8, 0, 0, 8, 0, 0, 8, 8], [8, 0, 0, 0, 0, 8, 0, 8, 0, 8, 8, 0, 0, 0, 8], [0, 0, 8, 0, 0, 8, 0, 0, 0, 8, 0, 8, 8, 0, 8], [0, 8, 8, 8, 8, 0, 0, 0, 0, 0, 8, 0, 8, 8, 0], [0, 0, 8, 8, 0, 8, 0, 8, 8, 0, 8, 8, 8, 0, 0], [8, 8, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 8, 0], [0, 8, 8, 0, 0, 0, 0, 8, 8, 8, 8, 8, 0, 0, 0], [8, 0, 8, 8, 0, 0, 8, 0, 8, 8, 8, 8, 8, 8, 0], [0, 0, 0, 8, 8, 8, 8, 0, 0, 8, 0, 0, 8, 8, 8], [0, 8, 0, 0, 8, 8, 8, 0, 0, 8, 8, 8, 0, 8, 8], [0, 0, 0, 8, 8, 8, 8, 8, 0, 0, 0, 8, 0, 0, 8], [8, 8, 8, 8, 8, 8, 0, 8, 0, 0, 8, 0, 8, 8, 8], [8, 8, 0, 0, 0, 8, 8, 8, 0, 0, 8, 0, 8, 8, 8], [8, 0, 8, 0, 0, 8, 8, 0, 8, 8, 0, 0, 0, 0, 8], [0, 8, 0, 8, 8, 0, 8, 8, 0, 8, 0, 0, 0, 8, 0], [4, 4, 4, 0, 0, 4, 0, 4, 0, 4, 0, 0, 0, 0, 4], [4, 4, 4, 0, 4, 4, 4, 4, 4, 0, 4, 0, 4, 4, 4], [0, 4, 4, 4, 4, 4, 0, 4, 4, 0, 0, 0, 0, 0, 4], [0, 0, 0, 4, 4, 4, 0, 4, 0, 4, 0, 4, 0, 0, 4], [4, 4, 0, 0, 4, 4, 4, 4, 4, 0, 4, 0, 0, 0, 4], [0, 0, 0, 0, 4, 0, 4, 4, 0, 0, 0, 4, 4, 0, 4], [0, 4, 0, 0, 0, 4, 0, 4, 0, 4, 4, 0, 4, 4, 4], [4, 0, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0], [4, 4, 0, 4, 4, 4, 4, 0, 0, 0, 4, 4, 4, 4, 4], [4, 0, 0, 4, 0, 4, 0, 4, 0, 0, 4, 4, 4, 4, 4], [0, 4, 4, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 4, 4], [0, 4, 4, 4, 0, 0, 4, 0, 4, 0, 0, 4, 4, 4, 4], [4, 4, 0, 0, 0, 0, 0, 4, 0, 4, 0, 0, 4, 0, 0], [0, 0, 0, 4, 0, 0, 4, 0, 0, 4, 4, 0, 0, 0, 0], [0, 0, 4, 0, 0, 0, 0, 4, 4, 0, 4, 4, 0, 4, 0]] -> [[0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2], [2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2], [0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2], [0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0], [0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0], [0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0], [0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0], [2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0], [0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2], [0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2], [0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2], [0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2], [2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0], [0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0], [0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[8, 0, 0, 8, 0, 0, 8, 8, 0, 0, 8, 0, 8, 8, 0], [0, 0, 0, 0, 8, 0, 8, 0, 0, 8, 8, 0, 0, 0, 8], [8, 8, 8, 8, 0, 8, 8, 8, 8, 0, 8, 8, 8, 8, 8], [0, 8, 0, 0, 0, 8, 0, 0, 8, 8, 8, 0, 0, 0, 8], [8, 0, 8, 8, 0, 0, 8, 8, 8, 8, 0, 8, 0, 0, 0], [8, 0, 0, 8, 0, 8, 8, 0, 8, 8, 8, 8, 8, 8, 0], [0, 0, 0, 0, 8, 0, 0, 0, 8, 8, 0, 0, 8, 8, 0], [0, 8, 8, 0, 8, 8, 8, 8, 8, 8, 8, 8, 0, 8, 8], [0, 0, 0, 8, 8, 8, 8, 0, 8, 8, 0, 8, 8, 8, 8], [8, 0, 8, 0, 8, 0, 8, 0, 0, 8, 8, 0, 8, 8, 8], [8, 8, 8, 8, 0, 0, 0, 8, 0, 8, 0, 0, 8, 0, 0], [8, 0, 8, 0, 8, 8, 8, 0, 8, 8, 0, 8, 8, 0, 0], [8, 0, 8, 8, 8, 0, 8, 0, 8, 0, 8, 8, 8, 0, 0], [0, 8, 0, 8, 0, 8, 8, 0, 8, 8, 8, 8, 0, 0, 8], [0, 8, 8, 8, 8, 0, 0, 0, 8, 0, 8, 8, 8, 8, 0], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            8,
+                            0,
+                            0,
+                            8,
+                            0,
+                            0,
+                            8,
+                            8,
+                            0,
+                            0,
+                            8,
+                            0,
+                            8,
+                            8,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            8,
+                            0,
+                            8,
+                            0,
+                            0,
+                            8,
+                            8,
+                            0,
+                            0,
+                            0,
+                            8
+                        ],
+                        [
+                            8,
+                            8,
+                            8,
+                            8,
+                            0,
+                            8,
+                            8,
+                            8,
+                            8,
+                            0,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8
+                        ],
+                        [
+                            0,
+                            8,
+                            0,
+                            0,
+                            0,
+                            8,
+                            0,
+                            0,
+                            8,
+                            8,
+                            8,
+                            0,
+                            0,
+                            0,
+                            8
+                        ],
+                        [
+                            8,
+                            0,
+                            8,
+                            8,
+                            0,
+                            0,
+                            8,
+                            8,
+                            8,
+                            8,
+                            0,
+                            8,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            8,
+                            0,
+                            0,
+                            8,
+                            0,
+                            8,
+                            8,
+                            0,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
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+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
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+                            0,
+                            0,
+                            0,
+                            8,
+                            8,
+                            0,
+                            0,
+                            8,
+                            8,
+                            0
+                        ],
+                        [
+                            0,
+                            8,
+                            8,
+                            0,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            0,
+                            8,
+                            8
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            8,
+                            8,
+                            8,
+                            8,
+                            0,
+                            8,
+                            8,
+                            0,
+                            8,
+                            8,
+                            8,
+                            8
+                        ],
+                        [
+                            8,
+                            0,
+                            8,
+                            0,
+                            8,
+                            0,
+                            8,
+                            0,
+                            0,
+                            8,
+                            8,
+                            0,
+                            8,
+                            8,
+                            8
+                        ],
+                        [
+                            8,
+                            8,
+                            8,
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+                            0,
+                            0,
+                            0,
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+                            0,
+                            8,
+                            0,
+                            0,
+                            8,
+                            0,
+                            0
+                        ],
+                        [
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+                            8,
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+                            0
+                        ],
+                        [
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+                            0,
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+                            0,
+                            0
+                        ],
+                        [
+                            0,
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+                            8,
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+                            8,
+                            8,
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+                            8,
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+                        ],
+                        [
+                            0,
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+                            0,
+                            0,
+                            0,
+                            8,
+                            0,
+                            8,
+                            8,
+                            8,
+                            8,
+                            0
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
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+                            4,
+                            4,
+                            4,
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+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
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+                            4,
+                            4,
+                            4,
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+                            4
+                        ],
+                        [
+                            4,
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+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4
+                        ]
+                    ],
+                    "output": [
+                        [
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0
+                        ],
+                        [
+                            0,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0
+                        ],
+                        [
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0
+                        ],
+                        [
+                            0,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0
+                        ],
+                        [
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2
+                        ],
+                        [
+                            0,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0
+                        ],
+                        [
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2
+                        ],
+                        [
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0
+                        ]
+                    ]
+                }
+            },
+            "Replicate 4": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 8, 0, 0, 0, 0, 8, 0, 0, 8, 0, 0, 8, 8], [8, 0, 0, 0, 0, 8, 0, 8, 0, 8, 8, 0, 0, 0, 8], [0, 0, 8, 0, 0, 8, 0, 0, 0, 8, 0, 8, 8, 0, 8], [0, 8, 8, 8, 8, 0, 0, 0, 0, 0, 8, 0, 8, 8, 0], [0, 0, 8, 8, 0, 8, 0, 8, 8, 0, 8, 8, 8, 0, 0], [8, 8, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 8, 0], [0, 8, 8, 0, 0, 0, 0, 8, 8, 8, 8, 8, 0, 0, 0], [8, 0, 8, 8, 0, 0, 8, 0, 8, 8, 8, 8, 8, 8, 0], [0, 0, 0, 8, 8, 8, 8, 0, 0, 8, 0, 0, 8, 8, 8], [0, 8, 0, 0, 8, 8, 8, 0, 0, 8, 8, 8, 0, 8, 8], [0, 0, 0, 8, 8, 8, 8, 8, 0, 0, 0, 8, 0, 0, 8], [8, 8, 8, 8, 8, 8, 0, 8, 0, 0, 8, 0, 8, 8, 8], [8, 8, 0, 0, 0, 8, 8, 8, 0, 0, 8, 0, 8, 8, 8], [8, 0, 8, 0, 0, 8, 8, 0, 8, 8, 0, 0, 0, 0, 8], [0, 8, 0, 8, 8, 0, 8, 8, 0, 8, 0, 0, 0, 8, 0], [4, 4, 4, 0, 0, 4, 0, 4, 0, 4, 0, 0, 0, 0, 4], [4, 4, 4, 0, 4, 4, 4, 4, 4, 0, 4, 0, 4, 4, 4], [0, 4, 4, 4, 4, 4, 0, 4, 4, 0, 0, 0, 0, 0, 4], [0, 0, 0, 4, 4, 4, 0, 4, 0, 4, 0, 4, 0, 0, 4], [4, 4, 0, 0, 4, 4, 4, 4, 4, 0, 4, 0, 0, 0, 4], [0, 0, 0, 0, 4, 0, 4, 4, 0, 0, 0, 4, 4, 0, 4], [0, 4, 0, 0, 0, 4, 0, 4, 0, 4, 4, 0, 4, 4, 4], [4, 0, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0], [4, 4, 0, 4, 4, 4, 4, 0, 0, 0, 4, 4, 4, 4, 4], [4, 0, 0, 4, 0, 4, 0, 4, 0, 0, 4, 4, 4, 4, 4], [0, 4, 4, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 4, 4], [0, 4, 4, 4, 0, 0, 4, 0, 4, 0, 0, 4, 4, 4, 4], [4, 4, 0, 0, 0, 0, 0, 4, 0, 4, 0, 0, 4, 0, 0], [0, 0, 0, 4, 0, 0, 4, 0, 0, 4, 4, 0, 0, 0, 0], [0, 0, 4, 0, 0, 0, 0, 4, 4, 0, 4, 4, 0, 4, 0]] -> [[0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2], [2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2], [0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2], [0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0], [0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0], [0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0], [0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0], [2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0], [0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2], [0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2], [0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2], [0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2], [2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0], [0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0], [0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0]]\nExample input-output arrays:\n[[0, 0, 8, 0, 0, 0, 0, 8, 0, 0, 8, 0, 0, 8, 8], [8, 0, 0, 0, 0, 8, 0, 8, 0, 8, 8, 0, 0, 0, 8], [0, 0, 8, 0, 0, 8, 0, 0, 0, 8, 0, 8, 8, 0, 8], [0, 8, 8, 8, 8, 0, 0, 0, 0, 0, 8, 0, 8, 8, 0], [0, 0, 8, 8, 0, 8, 0, 8, 8, 0, 8, 8, 8, 0, 0], [8, 8, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 8, 0], [0, 8, 8, 0, 0, 0, 0, 8, 8, 8, 8, 8, 0, 0, 0], [8, 0, 8, 8, 0, 0, 8, 0, 8, 8, 8, 8, 8, 8, 0], [0, 0, 0, 8, 8, 8, 8, 0, 0, 8, 0, 0, 8, 8, 8], [0, 8, 0, 0, 8, 8, 8, 0, 0, 8, 8, 8, 0, 8, 8], [0, 0, 0, 8, 8, 8, 8, 8, 0, 0, 0, 8, 0, 0, 8], [8, 8, 8, 8, 8, 8, 0, 8, 0, 0, 8, 0, 8, 8, 8], [8, 8, 0, 0, 0, 8, 8, 8, 0, 0, 8, 0, 8, 8, 8], [8, 0, 8, 0, 0, 8, 8, 0, 8, 8, 0, 0, 0, 0, 8], [0, 8, 0, 8, 8, 0, 8, 8, 0, 8, 0, 0, 0, 8, 0], [4, 4, 4, 0, 0, 4, 0, 4, 0, 4, 0, 0, 0, 0, 4], [4, 4, 4, 0, 4, 4, 4, 4, 4, 0, 4, 0, 4, 4, 4], [0, 4, 4, 4, 4, 4, 0, 4, 4, 0, 0, 0, 0, 0, 4], [0, 0, 0, 4, 4, 4, 0, 4, 0, 4, 0, 4, 0, 0, 4], [4, 4, 0, 0, 4, 4, 4, 4, 4, 0, 4, 0, 0, 0, 4], [0, 0, 0, 0, 4, 0, 4, 4, 0, 0, 0, 4, 4, 0, 4], [0, 4, 0, 0, 0, 4, 0, 4, 0, 4, 4, 0, 4, 4, 4], [4, 0, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0], [4, 4, 0, 4, 4, 4, 4, 0, 0, 0, 4, 4, 4, 4, 4], [4, 0, 0, 4, 0, 4, 0, 4, 0, 0, 4, 4, 4, 4, 4], [0, 4, 4, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 4, 4], [0, 4, 4, 4, 0, 0, 4, 0, 4, 0, 0, 4, 4, 4, 4], [4, 4, 0, 0, 0, 0, 0, 4, 0, 4, 0, 0, 4, 0, 0], [0, 0, 0, 4, 0, 0, 4, 0, 0, 4, 4, 0, 0, 0, 0], [0, 0, 4, 0, 0, 0, 0, 4, 4, 0, 4, 4, 0, 4, 0]] -> [[0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2], [2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2], [0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2], [0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0], [0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0], [0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0], [0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0], [2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0], [0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2], [0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2], [0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2], [0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2], [2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0], [0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0], [0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0]]\nExample input-output arrays:\n[[8, 0, 8, 0, 8, 8, 0, 0, 0, 8, 8, 8, 8, 0, 0], [0, 8, 8, 8, 0, 8, 0, 0, 8, 0, 0, 0, 8, 0, 0], [0, 0, 0, 8, 8, 0, 0, 0, 0, 8, 8, 8, 0, 8, 8], [8, 0, 8, 0, 8, 0, 8, 0, 8, 8, 0, 8, 8, 0, 8], [8, 8, 8, 8, 0, 0, 8, 0, 8, 0, 0, 0, 8, 0, 8], [8, 0, 0, 0, 0, 0, 0, 8, 0, 8, 8, 0, 8, 8, 8], [0, 0, 0, 8, 8, 8, 0, 8, 8, 8, 0, 0, 8, 8, 8], [8, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0], [8, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 8, 0, 0], [0, 8, 0, 0, 8, 0, 0, 8, 0, 8, 0, 0, 8, 0, 8], [8, 0, 8, 0, 0, 0, 0, 0, 8, 0, 0, 8, 8, 8, 8], [8, 0, 0, 8, 0, 8, 0, 8, 8, 8, 8, 0, 0, 0, 0], [8, 0, 8, 0, 8, 8, 0, 8, 0, 0, 8, 8, 0, 8, 0], [0, 8, 0, 8, 8, 8, 0, 8, 8, 8, 0, 8, 8, 8, 0], [0, 8, 0, 8, 8, 8, 0, 0, 8, 8, 0, 0, 8, 8, 8], [4, 0, 0, 4, 0, 4, 0, 4, 0, 4, 4, 4, 0, 0, 0], [4, 0, 4, 0, 4, 4, 0, 0, 0, 4, 0, 0, 4, 0, 4], [0, 0, 4, 4, 0, 4, 4, 4, 0, 0, 0, 4, 0, 4, 0], [0, 0, 4, 0, 4, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4], [0, 4, 4, 4, 4, 4, 4, 4, 0, 4, 4, 0, 0, 0, 4], [4, 4, 0, 0, 4, 4, 4, 4, 0, 4, 0, 0, 0, 0, 4], [4, 0, 4, 4, 0, 4, 4, 0, 0, 0, 4, 0, 4, 4, 0], [0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 4, 4, 0, 4], [0, 0, 4, 0, 4, 4, 0, 0, 4, 0, 4, 4, 4, 0, 4], [4, 4, 0, 0, 4, 4, 0, 4, 4, 0, 4, 0, 0, 4, 0], [4, 0, 0, 0, 0, 0, 0, 4, 0, 4, 0, 4, 0, 0, 0], [4, 4, 4, 0, 4, 4, 0, 4, 0, 0, 0, 0, 4, 4, 4], [0, 0, 4, 4, 4, 4, 4, 4, 0, 0, 4, 0, 0, 0, 0], [0, 4, 0, 4, 4, 4, 0, 0, 4, 4, 4, 4, 0, 0, 0], [0, 0, 0, 0, 4, 0, 0, 0, 4, 4, 0, 4, 0, 0, 4]] -> [[2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0], [0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0], [0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0], [0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2], [0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2], [2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2], [0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0], [0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0], [0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0], [2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0], [2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0], [0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0], [0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0], [0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[8, 8, 0, 8, 0, 8, 8, 0, 0, 8, 8, 0, 8, 8, 0], [0, 8, 8, 0, 0, 0, 0, 0, 8, 8, 0, 8, 0, 8, 8], [8, 0, 8, 8, 8, 0, 0, 0, 0, 0, 8, 8, 0, 0, 8], [0, 8, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 0, 8, 0], [8, 0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 0, 8, 8, 8], [8, 8, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 8, 8, 0], [8, 8, 8, 8, 0, 0, 0, 0, 8, 0, 8, 8, 8, 0, 0], [8, 0, 8, 0, 8, 8, 8, 8, 0, 0, 0, 8, 0, 0, 0], [8, 8, 0, 8, 0, 0, 8, 8, 8, 0, 0, 8, 8, 0, 0], [0, 0, 8, 8, 8, 8, 0, 8, 8, 0, 0, 8, 0, 0, 0], [8, 0, 0, 8, 8, 0, 8, 0, 0, 0, 8, 0, 8, 8, 8], [0, 0, 8, 0, 8, 0, 0, 8, 8, 8, 8, 8, 0, 8, 0], [0, 0, 8, 8, 8, 0, 8, 0, 8, 8, 8, 8, 8, 8, 8], [8, 8, 0, 0, 0, 8, 0, 8, 0, 0, 8, 0, 8, 8, 8], [8, 0, 0, 8, 8, 0, 0, 8, 8, 0, 0, 0, 8, 8, 8], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            8,
+                            8,
+                            0,
+                            8,
+                            0,
+                            8,
+                            8,
+                            0,
+                            0,
+                            8,
+                            8,
+                            0,
+                            8,
+                            8,
+                            0
+                        ],
+                        [
+                            0,
+                            8,
+                            8,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            8,
+                            8,
+                            0,
+                            8,
+                            0,
+                            8,
+                            8
+                        ],
+                        [
+                            8,
+                            0,
+                            8,
+                            8,
+                            8,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            8,
+                            8,
+                            0,
+                            0,
+                            8
+                        ],
+                        [
+                            0,
+                            8,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            8,
+                            8,
+                            8,
+                            8,
+                            0,
+                            8,
+                            0
+                        ],
+                        [
+                            8,
+                            0,
+                            0,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            0,
+                            8,
+                            8,
+                            8
+                        ],
+                        [
+                            8,
+                            8,
+                            8,
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+        "L3": {
+            "Replicate 0": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 8, 0, 0, 0, 0, 8, 0, 0, 8, 0, 0, 8, 8], [8, 0, 0, 0, 0, 8, 0, 8, 0, 8, 8, 0, 0, 0, 8], [0, 0, 8, 0, 0, 8, 0, 0, 0, 8, 0, 8, 8, 0, 8], [0, 8, 8, 8, 8, 0, 0, 0, 0, 0, 8, 0, 8, 8, 0], [0, 0, 8, 8, 0, 8, 0, 8, 8, 0, 8, 8, 8, 0, 0], [8, 8, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 8, 0], [0, 8, 8, 0, 0, 0, 0, 8, 8, 8, 8, 8, 0, 0, 0], [8, 0, 8, 8, 0, 0, 8, 0, 8, 8, 8, 8, 8, 8, 0], [0, 0, 0, 8, 8, 8, 8, 0, 0, 8, 0, 0, 8, 8, 8], [0, 8, 0, 0, 8, 8, 8, 0, 0, 8, 8, 8, 0, 8, 8], [0, 0, 0, 8, 8, 8, 8, 8, 0, 0, 0, 8, 0, 0, 8], [8, 8, 8, 8, 8, 8, 0, 8, 0, 0, 8, 0, 8, 8, 8], [8, 8, 0, 0, 0, 8, 8, 8, 0, 0, 8, 0, 8, 8, 8], [8, 0, 8, 0, 0, 8, 8, 0, 8, 8, 0, 0, 0, 0, 8], [0, 8, 0, 8, 8, 0, 8, 8, 0, 8, 0, 0, 0, 8, 0], [4, 4, 4, 0, 0, 4, 0, 4, 0, 4, 0, 0, 0, 0, 4], [4, 4, 4, 0, 4, 4, 4, 4, 4, 0, 4, 0, 4, 4, 4], [0, 4, 4, 4, 4, 4, 0, 4, 4, 0, 0, 0, 0, 0, 4], [0, 0, 0, 4, 4, 4, 0, 4, 0, 4, 0, 4, 0, 0, 4], [4, 4, 0, 0, 4, 4, 4, 4, 4, 0, 4, 0, 0, 0, 4], [0, 0, 0, 0, 4, 0, 4, 4, 0, 0, 0, 4, 4, 0, 4], [0, 4, 0, 0, 0, 4, 0, 4, 0, 4, 4, 0, 4, 4, 4], [4, 0, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0], [4, 4, 0, 4, 4, 4, 4, 0, 0, 0, 4, 4, 4, 4, 4], [4, 0, 0, 4, 0, 4, 0, 4, 0, 0, 4, 4, 4, 4, 4], [0, 4, 4, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 4, 4], [0, 4, 4, 4, 0, 0, 4, 0, 4, 0, 0, 4, 4, 4, 4], [4, 4, 0, 0, 0, 0, 0, 4, 0, 4, 0, 0, 4, 0, 0], [0, 0, 0, 4, 0, 0, 4, 0, 0, 4, 4, 0, 0, 0, 0], [0, 0, 4, 0, 0, 0, 0, 4, 4, 0, 4, 4, 0, 4, 0]] -> [[0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2], [2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2], [0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2], [0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0], [0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0], [0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0], [0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0], [2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0], [0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2], [0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2], [0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2], [0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2], [2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0], [0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0], [0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0]]\nExample input-output arrays:\n[[0, 0, 8, 0, 0, 0, 0, 8, 0, 0, 8, 0, 0, 8, 8], [8, 0, 0, 0, 0, 8, 0, 8, 0, 8, 8, 0, 0, 0, 8], [0, 0, 8, 0, 0, 8, 0, 0, 0, 8, 0, 8, 8, 0, 8], [0, 8, 8, 8, 8, 0, 0, 0, 0, 0, 8, 0, 8, 8, 0], [0, 0, 8, 8, 0, 8, 0, 8, 8, 0, 8, 8, 8, 0, 0], [8, 8, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 8, 0], [0, 8, 8, 0, 0, 0, 0, 8, 8, 8, 8, 8, 0, 0, 0], [8, 0, 8, 8, 0, 0, 8, 0, 8, 8, 8, 8, 8, 8, 0], [0, 0, 0, 8, 8, 8, 8, 0, 0, 8, 0, 0, 8, 8, 8], [0, 8, 0, 0, 8, 8, 8, 0, 0, 8, 8, 8, 0, 8, 8], [0, 0, 0, 8, 8, 8, 8, 8, 0, 0, 0, 8, 0, 0, 8], [8, 8, 8, 8, 8, 8, 0, 8, 0, 0, 8, 0, 8, 8, 8], [8, 8, 0, 0, 0, 8, 8, 8, 0, 0, 8, 0, 8, 8, 8], [8, 0, 8, 0, 0, 8, 8, 0, 8, 8, 0, 0, 0, 0, 8], [0, 8, 0, 8, 8, 0, 8, 8, 0, 8, 0, 0, 0, 8, 0], [4, 4, 4, 0, 0, 4, 0, 4, 0, 4, 0, 0, 0, 0, 4], [4, 4, 4, 0, 4, 4, 4, 4, 4, 0, 4, 0, 4, 4, 4], [0, 4, 4, 4, 4, 4, 0, 4, 4, 0, 0, 0, 0, 0, 4], [0, 0, 0, 4, 4, 4, 0, 4, 0, 4, 0, 4, 0, 0, 4], [4, 4, 0, 0, 4, 4, 4, 4, 4, 0, 4, 0, 0, 0, 4], [0, 0, 0, 0, 4, 0, 4, 4, 0, 0, 0, 4, 4, 0, 4], [0, 4, 0, 0, 0, 4, 0, 4, 0, 4, 4, 0, 4, 4, 4], [4, 0, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0], [4, 4, 0, 4, 4, 4, 4, 0, 0, 0, 4, 4, 4, 4, 4], [4, 0, 0, 4, 0, 4, 0, 4, 0, 0, 4, 4, 4, 4, 4], [0, 4, 4, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 4, 4], [0, 4, 4, 4, 0, 0, 4, 0, 4, 0, 0, 4, 4, 4, 4], [4, 4, 0, 0, 0, 0, 0, 4, 0, 4, 0, 0, 4, 0, 0], [0, 0, 0, 4, 0, 0, 4, 0, 0, 4, 4, 0, 0, 0, 0], [0, 0, 4, 0, 0, 0, 0, 4, 4, 0, 4, 4, 0, 4, 0]] -> [[0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2], [2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2], [0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2], [0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0], [0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0], [0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0], [0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0], [2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0], [0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2], [0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2], [0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2], [0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2], [2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0], [0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0], [0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[8, 8, 8, 8, 8, 0, 8, 0, 8, 8, 0, 8, 8, 0, 8], [0, 8, 0, 0, 0, 8, 8, 8, 0, 8, 0, 0, 0, 0, 8], [0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 8, 0, 0, 8], [8, 0, 8, 0, 0, 0, 8, 0, 8, 0, 0, 0, 8, 8, 8], [0, 0, 0, 8, 8, 0, 8, 0, 8, 0, 0, 0, 8, 8, 8], [0, 8, 0, 8, 0, 8, 0, 8, 0, 8, 8, 0, 8, 0, 8], [8, 8, 8, 8, 8, 8, 0, 8, 8, 0, 0, 0, 0, 8, 0], [8, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 8, 0, 8], [0, 0, 8, 0, 0, 8, 8, 8, 0, 0, 8, 8, 0, 8, 0], [0, 8, 8, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 0], [0, 8, 8, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 0, 8], [0, 8, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 8, 0, 0], [0, 8, 8, 8, 0, 8, 8, 8, 8, 8, 0, 0, 8, 0, 8], [8, 8, 8, 0, 8, 0, 8, 8, 0, 8, 8, 0, 0, 0, 8], [0, 8, 8, 8, 8, 8, 0, 0, 0, 8, 8, 8, 0, 8, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            0,
+                            8,
+                            0,
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+                            8,
+                            0,
+                            8,
+                            8,
+                            0,
+                            8
+                        ],
+                        [
+                            0,
+                            8,
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+                            8,
+                            8,
+                            0,
+                            8,
+                            0,
+                            0,
+                            0,
+                            0,
+                            8
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            8,
+                            8,
+                            8,
+                            0,
+                            0,
+                            0,
+                            0,
+                            8,
+                            0,
+                            0,
+                            8
+                        ],
+                        [
+                            8,
+                            0,
+                            8,
+                            0,
+                            0,
+                            0,
+                            8,
+                            0,
+                            8,
+                            0,
+                            0,
+                            0,
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+                            8,
+                            8
+                        ],
+                        [
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+                            0,
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+                            8,
+                            0,
+                            8,
+                            0,
+                            8,
+                            0,
+                            0,
+                            0,
+                            8,
+                            8,
+                            8
+                        ],
+                        [
+                            0,
+                            8,
+                            0,
+                            8,
+                            0,
+                            8,
+                            0,
+                            8,
+                            0,
+                            8,
+                            8,
+                            0,
+                            8,
+                            0,
+                            8
+                        ],
+                        [
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            0,
+                            8,
+                            8,
+                            0,
+                            0,
+                            0,
+                            0,
+                            8,
+                            0
+                        ],
+                        [
+                            8,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            8,
+                            8,
+                            8,
+                            0,
+                            0,
+                            0,
+                            8,
+                            0,
+                            8
+                        ],
+                        [
+                            0,
+                            0,
+                            8,
+                            0,
+                            0,
+                            8,
+                            8,
+                            8,
+                            0,
+                            0,
+                            8,
+                            8,
+                            0,
+                            8,
+                            0
+                        ],
+                        [
+                            0,
+                            8,
+                            8,
+                            0,
+                            0,
+                            0,
+                            0,
+                            8,
+                            8,
+                            8,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            8,
+                            8,
+                            0,
+                            0,
+                            8,
+                            0,
+                            0,
+                            0,
+                            8,
+                            0,
+                            0,
+                            0,
+                            0,
+                            8
+                        ],
+                        [
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+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            8,
+                            8,
+                            8,
+                            0,
+                            0,
+                            8,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
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+                            8,
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+                            0,
+                            8,
+                            8,
+                            8,
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+                            0,
+                            0,
+                            8,
+                            0,
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+                        ],
+                        [
+                            8,
+                            8,
+                            8,
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+                            8,
+                            0,
+                            8,
+                            8,
+                            0,
+                            8,
+                            8,
+                            0,
+                            0,
+                            0,
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+                        ],
+                        [
+                            0,
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+                            8,
+                            8,
+                            8,
+                            8,
+                            0,
+                            0,
+                            0,
+                            8,
+                            8,
+                            8,
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+                        ],
+                        [
+                            0,
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+                            0,
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+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
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+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
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+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
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+                        ],
+                        [
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+                            0,
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+                        [
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+                        [
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+                        [
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+                            0,
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+                            0,
+                            0,
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+                        ],
+                        [
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+                            0,
+                            0,
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+                            0,
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+                            0,
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+                        ],
+                        [
+                            0,
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+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
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+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ]
+                    ],
+                    "output": [
+                        [
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
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+                            0,
+                            0,
+                            2,
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+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
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+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
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+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0
+                        ],
+                        [
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
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+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0
+                        ],
+                        [
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0
+                        ]
+                    ]
+                }
+            },
+            "Replicate 1": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[8, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 8, 8, 8, 8], [8, 0, 8, 0, 8, 0, 0, 0, 8, 0, 8, 8, 0, 0, 8], [8, 8, 0, 0, 8, 8, 0, 0, 0, 8, 0, 0, 8, 0, 8], [8, 8, 0, 8, 0, 0, 8, 0, 8, 8, 8, 0, 0, 8, 0], [0, 8, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 0], [0, 0, 8, 8, 0, 8, 0, 8, 8, 8, 0, 0, 0, 0, 8], [0, 8, 8, 8, 8, 8, 0, 8, 0, 0, 0, 8, 0, 0, 0], [0, 8, 8, 8, 8, 0, 0, 8, 8, 0, 8, 0, 8, 0, 0], [0, 0, 8, 0, 8, 8, 0, 0, 0, 8, 8, 8, 0, 8, 8], [0, 8, 8, 8, 0, 0, 8, 8, 0, 0, 8, 8, 8, 8, 0], [8, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 8], [8, 8, 0, 0, 0, 8, 8, 0, 8, 0, 8, 0, 0, 8, 8], [8, 0, 0, 8, 8, 0, 0, 8, 8, 8, 8, 8, 8, 8, 0], [8, 0, 0, 8, 0, 8, 8, 0, 0, 8, 8, 8, 8, 0, 8], [0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 0], [4, 4, 4, 0, 0, 4, 4, 4, 4, 4, 0, 0, 4, 0, 4], [4, 4, 0, 0, 4, 4, 0, 4, 0, 0, 4, 4, 4, 4, 4], [4, 4, 4, 0, 4, 4, 4, 4, 4, 0, 4, 4, 0, 0, 4], [4, 4, 4, 0, 0, 0, 0, 4, 0, 4, 4, 0, 4, 0, 4], [4, 0, 4, 4, 4, 4, 0, 4, 0, 4, 4, 0, 0, 4, 0], [4, 0, 0, 4, 4, 4, 0, 4, 4, 0, 4, 4, 4, 4, 0], [0, 4, 0, 4, 0, 4, 0, 4, 4, 4, 0, 0, 0, 4, 4], [4, 0, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 0, 4, 0], [0, 0, 4, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 4, 0], [4, 0, 4, 4, 4, 0, 4, 4, 4, 0, 4, 0, 0, 4, 0], [4, 0, 0, 0, 0, 4, 4, 0, 4, 4, 4, 4, 0, 4, 0], [0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 4], [4, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 4, 4], [0, 0, 0, 4, 0, 4, 0, 0, 4, 0, 4, 0, 0, 0, 4], [0, 4, 0, 4, 4, 4, 4, 4, 0, 4, 4, 4, 0, 0, 4]] -> [[2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2], [2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2], [2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2], [2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0], [0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0], [0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0], [0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0], [0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0], [0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0], [0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0], [2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0], [0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2], [2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0], [0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2], [0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[7, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 7, 7, 7, 7], [7, 0, 7, 0, 7, 0, 0, 0, 7, 0, 7, 7, 0, 0, 7], [7, 7, 0, 0, 7, 7, 0, 0, 0, 7, 0, 0, 7, 0, 7], [7, 7, 0, 7, 0, 0, 7, 0, 7, 7, 7, 0, 0, 7, 0], [0, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 0], [0, 0, 7, 7, 0, 7, 0, 7, 7, 7, 0, 0, 0, 0, 7], [0, 7, 7, 7, 7, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0], [0, 7, 7, 7, 7, 0, 0, 7, 7, 0, 7, 0, 7, 0, 0], [0, 0, 7, 0, 7, 7, 0, 0, 0, 7, 7, 7, 0, 7, 7], [0, 7, 7, 7, 0, 0, 7, 7, 0, 0, 7, 7, 7, 7, 0], [7, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 7], [7, 7, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 7], [7, 0, 0, 7, 7, 0, 0, 7, 7, 7, 7, 7, 7, 7, 0], [7, 0, 0, 7, 0, 7, 7, 0, 0, 7, 7, 7, 7, 0, 7], [0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 0], [4, 4, 4, 0, 0, 4, 4, 4, 4, 4, 0, 0, 4, 0, 4], [4, 4, 0, 0, 4, 4, 0, 4, 0, 0, 4, 4, 4, 4, 4], [4, 4, 4, 0, 4, 4, 4, 4, 4, 0, 4, 4, 0, 0, 4], [4, 4, 4, 0, 0, 0, 0, 4, 0, 4, 4, 0, 4, 0, 4], [4, 0, 4, 4, 4, 4, 0, 4, 0, 4, 4, 0, 0, 4, 0], [4, 0, 0, 4, 4, 4, 0, 4, 4, 0, 4, 4, 4, 4, 0], [0, 4, 0, 4, 0, 4, 0, 4, 4, 4, 0, 0, 0, 4, 4], [4, 0, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 0, 4, 0], [0, 0, 4, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 4, 0], [4, 0, 4, 4, 4, 0, 4, 4, 4, 0, 4, 0, 0, 4, 0], [4, 0, 0, 0, 0, 4, 4, 0, 4, 4, 4, 4, 0, 4, 0], [0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 4], [4, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 4, 4], [0, 0, 0, 4, 0, 4, 0, 0, 4, 0, 4, 0, 0, 0, 4], [0, 4, 0, 4, 4, 4, 4, 4, 0, 4, 4, 4, 0, 0, 4]] -> [[2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2], [2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2], [2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2], [2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0], [0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0], [0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0], [0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0], [0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0], [0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0], [0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0], [2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0], [0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2], [2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0], [0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2], [0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0]]\nExample input-output arrays:\n[[8, 0, 8, 0, 8, 8, 0, 0, 0, 8, 8, 8, 8, 0, 0], [0, 8, 8, 8, 0, 8, 0, 0, 8, 0, 0, 0, 8, 0, 0], [0, 0, 0, 8, 8, 0, 0, 0, 0, 8, 8, 8, 0, 8, 8], [8, 0, 8, 0, 8, 0, 8, 0, 8, 8, 0, 8, 8, 0, 8], [8, 8, 8, 8, 0, 0, 8, 0, 8, 0, 0, 0, 8, 0, 8], [8, 0, 0, 0, 0, 0, 0, 8, 0, 8, 8, 0, 8, 8, 8], [0, 0, 0, 8, 8, 8, 0, 8, 8, 8, 0, 0, 8, 8, 8], [8, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0], [8, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 8, 0, 0], [0, 8, 0, 0, 8, 0, 0, 8, 0, 8, 0, 0, 8, 0, 8], [8, 0, 8, 0, 0, 0, 0, 0, 8, 0, 0, 8, 8, 8, 8], [8, 0, 0, 8, 0, 8, 0, 8, 8, 8, 8, 0, 0, 0, 0], [8, 0, 8, 0, 8, 8, 0, 8, 0, 0, 8, 8, 0, 8, 0], [0, 8, 0, 8, 8, 8, 0, 8, 8, 8, 0, 8, 8, 8, 0], [0, 8, 0, 8, 8, 8, 0, 0, 8, 8, 0, 0, 8, 8, 8], [4, 0, 0, 4, 0, 4, 0, 4, 0, 4, 4, 4, 0, 0, 0], [4, 0, 4, 0, 4, 4, 0, 0, 0, 4, 0, 0, 4, 0, 4], [0, 0, 4, 4, 0, 4, 4, 4, 0, 0, 0, 4, 0, 4, 0], [0, 0, 4, 0, 4, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4], [0, 4, 4, 4, 4, 4, 4, 4, 0, 4, 4, 0, 0, 0, 4], [4, 4, 0, 0, 4, 4, 4, 4, 0, 4, 0, 0, 0, 0, 4], [4, 0, 4, 4, 0, 4, 4, 0, 0, 0, 4, 0, 4, 4, 0], [0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 4, 4, 0, 4], [0, 0, 4, 0, 4, 4, 0, 0, 4, 0, 4, 4, 4, 0, 4], [4, 4, 0, 0, 4, 4, 0, 4, 4, 0, 4, 0, 0, 4, 0], [4, 0, 0, 0, 0, 0, 0, 4, 0, 4, 0, 4, 0, 0, 0], [4, 4, 4, 0, 4, 4, 0, 4, 0, 0, 0, 0, 4, 4, 4], [0, 0, 4, 4, 4, 4, 4, 4, 0, 0, 4, 0, 0, 0, 0], [0, 4, 0, 4, 4, 4, 0, 0, 4, 4, 4, 4, 0, 0, 0], [0, 0, 0, 0, 4, 0, 0, 0, 4, 4, 0, 4, 0, 0, 4]] -> [[2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0], [0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0], [0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0], [0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2], [0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2], [2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2], [0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0], [0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0], [0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0], [2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0], [2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0], [0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0], [0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0], [0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0], [0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0], [0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1], [1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1], [1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1], [1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1], [0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1], [1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0], [1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0], [0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1], [1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1], [1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0], [1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0], [0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0], [0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1], [4, 0, 0, 4, 0, 4, 0, 4, 0, 4, 4, 4, 0, 0, 0], [4, 0, 4, 0, 4, 4, 0, 0, 0, 4, 0, 0, 4, 0, 4], [0, 0, 4, 4, 0, 4, 4, 4, 0, 0, 0, 4, 0, 4, 0], [0, 0, 4, 0, 4, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4], [0, 4, 4, 4, 4, 4, 4, 4, 0, 4, 4, 0, 0, 0, 4], [4, 4, 0, 0, 4, 4, 4, 4, 0, 4, 0, 0, 0, 0, 4], [4, 0, 4, 4, 0, 4, 4, 0, 0, 0, 4, 0, 4, 4, 0], [0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 4, 4, 0, 4], [0, 0, 4, 0, 4, 4, 0, 0, 4, 0, 4, 4, 4, 0, 4], [4, 4, 0, 0, 4, 4, 0, 4, 4, 0, 4, 0, 0, 4, 0], [4, 0, 0, 0, 0, 0, 0, 4, 0, 4, 0, 4, 0, 0, 0], [4, 4, 4, 0, 4, 4, 0, 4, 0, 0, 0, 0, 4, 4, 4], [0, 0, 4, 4, 4, 4, 4, 4, 0, 0, 4, 0, 0, 0, 0], [0, 4, 0, 4, 4, 4, 0, 0, 4, 4, 4, 4, 0, 0, 0], [0, 0, 0, 0, 4, 0, 0, 0, 4, 4, 0, 4, 0, 0, 4]] -> ",
+                "test": {
+                    "input": [
+                        [
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+                        [
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+                            4,
+                            0,
+                            4,
+                            0,
+                            4,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            0,
+                            4,
+                            4,
+                            0,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            0,
+                            0,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            4,
+                            0,
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            4,
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            4,
+                            0,
+                            0,
+                            0,
+                            4,
+                            4,
+                            0,
+                            4,
+                            0,
+                            0,
+                            4
+                        ]
+                    ],
+                    "output": [
+                        [
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            2,
+                            0,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            2
+                        ],
+                        [
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2
+                        ],
+                        [
+                            0,
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+                            2,
+                            0,
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+                            2,
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+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0
+                        ],
+                        [
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0
+                        ],
+                        [
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0
+                        ],
+                        [
+                            0,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0
+                        ],
+                        [
+                            0,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            2
+                        ]
+                    ]
+                }
+            },
+            "Replicate 2": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 8, 0, 0, 0, 0, 8, 0, 0, 8, 0, 0, 8, 8], [8, 0, 0, 0, 0, 8, 0, 8, 0, 8, 8, 0, 0, 0, 8], [0, 0, 8, 0, 0, 8, 0, 0, 0, 8, 0, 8, 8, 0, 8], [0, 8, 8, 8, 8, 0, 0, 0, 0, 0, 8, 0, 8, 8, 0], [0, 0, 8, 8, 0, 8, 0, 8, 8, 0, 8, 8, 8, 0, 0], [8, 8, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 8, 0], [0, 8, 8, 0, 0, 0, 0, 8, 8, 8, 8, 8, 0, 0, 0], [8, 0, 8, 8, 0, 0, 8, 0, 8, 8, 8, 8, 8, 8, 0], [0, 0, 0, 8, 8, 8, 8, 0, 0, 8, 0, 0, 8, 8, 8], [0, 8, 0, 0, 8, 8, 8, 0, 0, 8, 8, 8, 0, 8, 8], [0, 0, 0, 8, 8, 8, 8, 8, 0, 0, 0, 8, 0, 0, 8], [8, 8, 8, 8, 8, 8, 0, 8, 0, 0, 8, 0, 8, 8, 8], [8, 8, 0, 0, 0, 8, 8, 8, 0, 0, 8, 0, 8, 8, 8], [8, 0, 8, 0, 0, 8, 8, 0, 8, 8, 0, 0, 0, 0, 8], [0, 8, 0, 8, 8, 0, 8, 8, 0, 8, 0, 0, 0, 8, 0], [4, 4, 4, 0, 0, 4, 0, 4, 0, 4, 0, 0, 0, 0, 4], [4, 4, 4, 0, 4, 4, 4, 4, 4, 0, 4, 0, 4, 4, 4], [0, 4, 4, 4, 4, 4, 0, 4, 4, 0, 0, 0, 0, 0, 4], [0, 0, 0, 4, 4, 4, 0, 4, 0, 4, 0, 4, 0, 0, 4], [4, 4, 0, 0, 4, 4, 4, 4, 4, 0, 4, 0, 0, 0, 4], [0, 0, 0, 0, 4, 0, 4, 4, 0, 0, 0, 4, 4, 0, 4], [0, 4, 0, 0, 0, 4, 0, 4, 0, 4, 4, 0, 4, 4, 4], [4, 0, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0], [4, 4, 0, 4, 4, 4, 4, 0, 0, 0, 4, 4, 4, 4, 4], [4, 0, 0, 4, 0, 4, 0, 4, 0, 0, 4, 4, 4, 4, 4], [0, 4, 4, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 4, 4], [0, 4, 4, 4, 0, 0, 4, 0, 4, 0, 0, 4, 4, 4, 4], [4, 4, 0, 0, 0, 0, 0, 4, 0, 4, 0, 0, 4, 0, 0], [0, 0, 0, 4, 0, 0, 4, 0, 0, 4, 4, 0, 0, 0, 0], [0, 0, 4, 0, 0, 0, 0, 4, 4, 0, 4, 4, 0, 4, 0]] -> [[0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2], [2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2], [0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2], [0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0], [0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0], [0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0], [0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0], [2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0], [0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2], [0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2], [0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2], [0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2], [2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0], [0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0], [0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0]]\nExample input-output arrays:\n[[0, 0, 8, 0, 0, 0, 0, 8, 0, 0, 8, 0, 0, 8, 8], [8, 0, 0, 0, 0, 8, 0, 8, 0, 8, 8, 0, 0, 0, 8], [0, 0, 8, 0, 0, 8, 0, 0, 0, 8, 0, 8, 8, 0, 8], [0, 8, 8, 8, 8, 0, 0, 0, 0, 0, 8, 0, 8, 8, 0], [0, 0, 8, 8, 0, 8, 0, 8, 8, 0, 8, 8, 8, 0, 0], [8, 8, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 8, 0], [0, 8, 8, 0, 0, 0, 0, 8, 8, 8, 8, 8, 0, 0, 0], [8, 0, 8, 8, 0, 0, 8, 0, 8, 8, 8, 8, 8, 8, 0], [0, 0, 0, 8, 8, 8, 8, 0, 0, 8, 0, 0, 8, 8, 8], [0, 8, 0, 0, 8, 8, 8, 0, 0, 8, 8, 8, 0, 8, 8], [0, 0, 0, 8, 8, 8, 8, 8, 0, 0, 0, 8, 0, 0, 8], [8, 8, 8, 8, 8, 8, 0, 8, 0, 0, 8, 0, 8, 8, 8], [8, 8, 0, 0, 0, 8, 8, 8, 0, 0, 8, 0, 8, 8, 8], [8, 0, 8, 0, 0, 8, 8, 0, 8, 8, 0, 0, 0, 0, 8], [0, 8, 0, 8, 8, 0, 8, 8, 0, 8, 0, 0, 0, 8, 0], [4, 4, 4, 0, 0, 4, 0, 4, 0, 4, 0, 0, 0, 0, 4], [4, 4, 4, 0, 4, 4, 4, 4, 4, 0, 4, 0, 4, 4, 4], [0, 4, 4, 4, 4, 4, 0, 4, 4, 0, 0, 0, 0, 0, 4], [0, 0, 0, 4, 4, 4, 0, 4, 0, 4, 0, 4, 0, 0, 4], [4, 4, 0, 0, 4, 4, 4, 4, 4, 0, 4, 0, 0, 0, 4], [0, 0, 0, 0, 4, 0, 4, 4, 0, 0, 0, 4, 4, 0, 4], [0, 4, 0, 0, 0, 4, 0, 4, 0, 4, 4, 0, 4, 4, 4], [4, 0, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0], [4, 4, 0, 4, 4, 4, 4, 0, 0, 0, 4, 4, 4, 4, 4], [4, 0, 0, 4, 0, 4, 0, 4, 0, 0, 4, 4, 4, 4, 4], [0, 4, 4, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 4, 4], [0, 4, 4, 4, 0, 0, 4, 0, 4, 0, 0, 4, 4, 4, 4], [4, 4, 0, 0, 0, 0, 0, 4, 0, 4, 0, 0, 4, 0, 0], [0, 0, 0, 4, 0, 0, 4, 0, 0, 4, 4, 0, 0, 0, 0], [0, 0, 4, 0, 0, 0, 0, 4, 4, 0, 4, 4, 0, 4, 0]] -> [[0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2], [2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2], [0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2], [0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0], [0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0], [0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0], [0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0], [2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0], [0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2], [0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2], [0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2], [0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2], [2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0], [0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0], [0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 0, 4, 0, 4, 4, 0, 4, 4, 4, 0, 0, 4, 4, 4], [0, 0, 0, 4, 0, 0, 4, 0, 0, 0, 4, 0, 4, 0, 4], [4, 0, 0, 4, 4, 4, 4, 0, 0, 0, 0, 0, 4, 0, 0], [4, 4, 0, 0, 4, 4, 0, 0, 0, 4, 0, 0, 4, 4, 4], [4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0], [4, 0, 4, 0, 4, 4, 4, 4, 0, 4, 4, 4, 4, 0, 4], [0, 0, 4, 0, 4, 0, 0, 4, 4, 4, 4, 4, 4, 0, 4], [0, 0, 0, 4, 0, 0, 4, 0, 4, 0, 0, 4, 0, 0, 0], [4, 0, 0, 0, 4, 4, 0, 0, 4, 0, 0, 0, 4, 4, 0], [4, 4, 4, 4, 4, 4, 4, 4, 0, 4, 0, 0, 0, 0, 4], [0, 4, 4, 4, 0, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0], [4, 4, 0, 0, 4, 0, 0, 0, 4, 4, 4, 4, 0, 4, 4], [4, 0, 4, 0, 4, 0, 0, 4, 4, 4, 4, 4, 4, 0, 4], [0, 0, 4, 0, 0, 0, 4, 0, 4, 0, 0, 0, 4, 4, 4], [0, 0, 0, 4, 4, 0, 0, 0, 4, 0, 4, 4, 0, 4, 4]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8
+                        ],
+                        [
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8
+                        ],
+                        [
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8
+                        ],
+                        [
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8
+                        ],
+                        [
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8
+                        ],
+                        [
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8
+                        ],
+                        [
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8
+                        ],
+                        [
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8
+                        ],
+                        [
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8
+                        ],
+                        [
+                            8,
+                            8,
+                            8,
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+                            8,
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+                            8,
+                            8,
+                            8,
+                            8,
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+                            8,
+                            8,
+                            8
+                        ],
+                        [
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+                            8,
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+                            8,
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+                        ],
+                        [
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+                            8,
+                            8
+                        ],
+                        [
+                            8,
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+                            8,
+                            8,
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+                        ],
+                        [
+                            8,
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+                            8,
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+                        ],
+                        [
+                            8,
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+                            8,
+                            8,
+                            8,
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+                        ],
+                        [
+                            4,
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+                            4,
+                            0,
+                            4,
+                            4,
+                            0,
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            0,
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+                            0,
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+                            0,
+                            4,
+                            0,
+                            0,
+                            0,
+                            4,
+                            0,
+                            4,
+                            0,
+                            4
+                        ],
+                        [
+                            4,
+                            0,
+                            0,
+                            4,
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+            },
+            "Replicate 3": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[8, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 8, 8, 8, 8], [8, 0, 8, 0, 8, 0, 0, 0, 8, 0, 8, 8, 0, 0, 8], [8, 8, 0, 0, 8, 8, 0, 0, 0, 8, 0, 0, 8, 0, 8], [8, 8, 0, 8, 0, 0, 8, 0, 8, 8, 8, 0, 0, 8, 0], [0, 8, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 0], [0, 0, 8, 8, 0, 8, 0, 8, 8, 8, 0, 0, 0, 0, 8], [0, 8, 8, 8, 8, 8, 0, 8, 0, 0, 0, 8, 0, 0, 0], [0, 8, 8, 8, 8, 0, 0, 8, 8, 0, 8, 0, 8, 0, 0], [0, 0, 8, 0, 8, 8, 0, 0, 0, 8, 8, 8, 0, 8, 8], [0, 8, 8, 8, 0, 0, 8, 8, 0, 0, 8, 8, 8, 8, 0], [8, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 8], [8, 8, 0, 0, 0, 8, 8, 0, 8, 0, 8, 0, 0, 8, 8], [8, 0, 0, 8, 8, 0, 0, 8, 8, 8, 8, 8, 8, 8, 0], [8, 0, 0, 8, 0, 8, 8, 0, 0, 8, 8, 8, 8, 0, 8], [0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 0], [4, 4, 4, 0, 0, 4, 4, 4, 4, 4, 0, 0, 4, 0, 4], [4, 4, 0, 0, 4, 4, 0, 4, 0, 0, 4, 4, 4, 4, 4], [4, 4, 4, 0, 4, 4, 4, 4, 4, 0, 4, 4, 0, 0, 4], [4, 4, 4, 0, 0, 0, 0, 4, 0, 4, 4, 0, 4, 0, 4], [4, 0, 4, 4, 4, 4, 0, 4, 0, 4, 4, 0, 0, 4, 0], [4, 0, 0, 4, 4, 4, 0, 4, 4, 0, 4, 4, 4, 4, 0], [0, 4, 0, 4, 0, 4, 0, 4, 4, 4, 0, 0, 0, 4, 4], [4, 0, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 0, 4, 0], [0, 0, 4, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 4, 0], [4, 0, 4, 4, 4, 0, 4, 4, 4, 0, 4, 0, 0, 4, 0], [4, 0, 0, 0, 0, 4, 4, 0, 4, 4, 4, 4, 0, 4, 0], [0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 4], [4, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 4, 4], [0, 0, 0, 4, 0, 4, 0, 0, 4, 0, 4, 0, 0, 0, 4], [0, 4, 0, 4, 4, 4, 4, 4, 0, 4, 4, 4, 0, 0, 4]] -> [[2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2], [2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2], [2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2], [2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0], [0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0], [0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0], [0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0], [0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0], [0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0], [0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0], [2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0], [0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2], [2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0], [0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2], [0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing the causal function for some elements.\n[[0, 8, 8, 8, 0, 0, 0, 8, 8, 8, 8, 0, 0, 0, 0], [0, 8, 0, 8, 0, 8, 8, 8, 0, 8, 0, 0, 8, 8, 0], [0, 0, 8, 8, 0, 0, 8, 8, 8, 0, 8, 8, 0, 8, 0], [0, 0, 8, 0, 8, 8, 0, 8, 0, 0, 0, 8, 8, 0, 8], [8, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8], [8, 8, 0, 0, 8, 0, 8, 0, 0, 0, 8, 8, 8, 8, 0], [8, 0, 0, 0, 0, 0, 8, 0, 8, 8, 8, 0, 8, 8, 8], [8, 0, 0, 0, 0, 8, 8, 0, 0, 8, 0, 8, 0, 8, 8], [8, 8, 0, 8, 0, 0, 8, 8, 8, 0, 0, 0, 8, 0, 0], [8, 0, 0, 0, 8, 8, 0, 0, 8, 8, 0, 0, 0, 0, 8], [0, 8, 0, 0, 8, 8, 8, 8, 8, 8, 8, 0, 8, 8, 0], [0, 0, 8, 8, 8, 0, 0, 8, 0, 8, 0, 8, 8, 0, 0], [0, 8, 8, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 8], [0, 8, 8, 0, 8, 0, 0, 8, 8, 0, 0, 0, 0, 8, 0], [8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8], [0, 0, 0, 4, 0, 4, 4, 4, 4, 4, 0, 4, 4, 4, 4], [4, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 0], [4, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 4, 0, 0, 4], [4, 0, 4, 4, 4, 0, 4, 0, 4, 0, 4, 4, 4, 4, 4], [4, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 4], [4, 4, 0, 4, 4, 4, 4, 0, 4, 0, 4, 0, 0, 4, 0], [0, 4, 4, 0, 0, 0, 4, 4, 4, 4, 4, 4, 0, 4, 4], [4, 0, 4, 0, 4, 0, 4, 0, 0, 0, 0, 4, 0, 0, 4], [0, 4, 0, 4, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 4], [0, 4, 0, 4, 4, 4, 4, 0, 4, 0, 4, 0, 0, 4, 4], [0, 4, 0, 4, 4, 4, 0, 4, 0, 0, 0, 0, 4, 0, 0], [0, 4, 4, 4, 4, 0, 0, 4, 4, 0, 4, 4, 0, 4, 4], [0, 4, 4, 4, 4, 4, 4, 0, 4, 0, 4, 4, 4, 4, 4], [0, 0, 4, 4, 4, 4, 0, 4, 0, 4, 0, 4, 4, 4, 0], [4, 0, 0, 4, 0, 4, 0, 0, 0, 0, 4, 0, 0, 4, 4]] -> [[0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0], [0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0], [0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0], [0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2], [2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2], [2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0], [0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2], [2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2], [0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0], [0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2], [0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0], [0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0], [0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2], [0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0], [2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2]]\nExample input-output arrays:\n[[0, 0, 8, 0, 0, 0, 0, 8, 0, 0, 8, 0, 0, 8, 8], [8, 0, 0, 0, 0, 8, 0, 8, 0, 8, 8, 0, 0, 0, 8], [0, 0, 8, 0, 0, 8, 0, 0, 0, 8, 0, 8, 8, 0, 8], [0, 8, 8, 8, 8, 0, 0, 0, 0, 0, 8, 0, 8, 8, 0], [0, 0, 8, 8, 0, 8, 0, 8, 8, 0, 8, 8, 8, 0, 0], [8, 8, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 8, 0], [0, 8, 8, 0, 0, 0, 0, 8, 8, 8, 8, 8, 0, 0, 0], [8, 0, 8, 8, 0, 0, 8, 0, 8, 8, 8, 8, 8, 8, 0], [0, 0, 0, 8, 8, 8, 8, 0, 0, 8, 0, 0, 8, 8, 8], [0, 8, 0, 0, 8, 8, 8, 0, 0, 8, 8, 8, 0, 8, 8], [0, 0, 0, 8, 8, 8, 8, 8, 0, 0, 0, 8, 0, 0, 8], [8, 8, 8, 8, 8, 8, 0, 8, 0, 0, 8, 0, 8, 8, 8], [8, 8, 0, 0, 0, 8, 8, 8, 0, 0, 8, 0, 8, 8, 8], [8, 0, 8, 0, 0, 8, 8, 0, 8, 8, 0, 0, 0, 0, 8], [0, 8, 0, 8, 8, 0, 8, 8, 0, 8, 0, 0, 0, 8, 0], [4, 4, 4, 0, 0, 4, 0, 4, 0, 4, 0, 0, 0, 0, 4], [4, 4, 4, 0, 4, 4, 4, 4, 4, 0, 4, 0, 4, 4, 4], [0, 4, 4, 4, 4, 4, 0, 4, 4, 0, 0, 0, 0, 0, 4], [0, 0, 0, 4, 4, 4, 0, 4, 0, 4, 0, 4, 0, 0, 4], [4, 4, 0, 0, 4, 4, 4, 4, 4, 0, 4, 0, 0, 0, 4], [0, 0, 0, 0, 4, 0, 4, 4, 0, 0, 0, 4, 4, 0, 4], [0, 4, 0, 0, 0, 4, 0, 4, 0, 4, 4, 0, 4, 4, 4], [4, 0, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0], [4, 4, 0, 4, 4, 4, 4, 0, 0, 0, 4, 4, 4, 4, 4], [4, 0, 0, 4, 0, 4, 0, 4, 0, 0, 4, 4, 4, 4, 4], [0, 4, 4, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 4, 4], [0, 4, 4, 4, 0, 0, 4, 0, 4, 0, 0, 4, 4, 4, 4], [4, 4, 0, 0, 0, 0, 0, 4, 0, 4, 0, 0, 4, 0, 0], [0, 0, 0, 4, 0, 0, 4, 0, 0, 4, 4, 0, 0, 0, 0], [0, 0, 4, 0, 0, 0, 0, 4, 4, 0, 4, 4, 0, 4, 0]] -> [[0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2], [2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2], [0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2], [0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0], [0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0], [0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0], [0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0], [2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0], [0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2], [0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2], [0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2], [0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2], [2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0], [0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0], [0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[8, 8, 8, 8, 8, 0, 8, 0, 8, 8, 0, 8, 8, 0, 8], [0, 8, 0, 0, 0, 8, 8, 8, 0, 8, 0, 0, 0, 0, 8], [0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 8, 0, 0, 8], [8, 0, 8, 0, 0, 0, 8, 0, 8, 0, 0, 0, 8, 8, 8], [0, 0, 0, 8, 8, 0, 8, 0, 8, 0, 0, 0, 8, 8, 8], [0, 8, 0, 8, 0, 8, 0, 8, 0, 8, 8, 0, 8, 0, 8], [8, 8, 8, 8, 8, 8, 0, 8, 8, 0, 0, 0, 0, 8, 0], [8, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 8, 0, 8], [0, 0, 8, 0, 0, 8, 8, 8, 0, 0, 8, 8, 0, 8, 0], [0, 8, 8, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 0], [0, 8, 8, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 0, 8], [0, 8, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 8, 0, 0], [0, 8, 8, 8, 0, 8, 8, 8, 8, 8, 0, 0, 8, 0, 8], [8, 8, 8, 0, 8, 0, 8, 8, 0, 8, 8, 0, 0, 0, 8], [0, 8, 8, 8, 8, 8, 0, 0, 0, 8, 8, 8, 0, 8, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            0,
+                            8,
+                            0,
+                            8,
+                            8,
+                            0,
+                            8,
+                            8,
+                            0,
+                            8
+                        ],
+                        [
+                            0,
+                            8,
+                            0,
+                            0,
+                            0,
+                            8,
+                            8,
+                            8,
+                            0,
+                            8,
+                            0,
+                            0,
+                            0,
+                            0,
+                            8
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            8,
+                            8,
+                            8,
+                            0,
+                            0,
+                            0,
+                            0,
+                            8,
+                            0,
+                            0,
+                            8
+                        ],
+                        [
+                            8,
+                            0,
+                            8,
+                            0,
+                            0,
+                            0,
+                            8,
+                            0,
+                            8,
+                            0,
+                            0,
+                            0,
+                            8,
+                            8,
+                            8
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            8,
+                            8,
+                            0,
+                            8,
+                            0,
+                            8,
+                            0,
+                            0,
+                            0,
+                            8,
+                            8,
+                            8
+                        ],
+                        [
+                            0,
+                            8,
+                            0,
+                            8,
+                            0,
+                            8,
+                            0,
+                            8,
+                            0,
+                            8,
+                            8,
+                            0,
+                            8,
+                            0,
+                            8
+                        ],
+                        [
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            0,
+                            8,
+                            8,
+                            0,
+                            0,
+                            0,
+                            0,
+                            8,
+                            0
+                        ],
+                        [
+                            8,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            8,
+                            8,
+                            8,
+                            0,
+                            0,
+                            0,
+                            8,
+                            0,
+                            8
+                        ],
+                        [
+                            0,
+                            0,
+                            8,
+                            0,
+                            0,
+                            8,
+                            8,
+                            8,
+                            0,
+                            0,
+                            8,
+                            8,
+                            0,
+                            8,
+                            0
+                        ],
+                        [
+                            0,
+                            8,
+                            8,
+                            0,
+                            0,
+                            0,
+                            0,
+                            8,
+                            8,
+                            8,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            8,
+                            8,
+                            0,
+                            0,
+                            8,
+                            0,
+                            0,
+                            0,
+                            8,
+                            0,
+                            0,
+                            0,
+                            0,
+                            8
+                        ],
+                        [
+                            0,
+                            8,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            8,
+                            8,
+                            8,
+                            0,
+                            0,
+                            8,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            8,
+                            8,
+                            8,
+                            0,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            0,
+                            0,
+                            8,
+                            0,
+                            8
+                        ],
+                        [
+                            8,
+                            8,
+                            8,
+                            0,
+                            8,
+                            0,
+                            8,
+                            8,
+                            0,
+                            8,
+                            8,
+                            0,
+                            0,
+                            0,
+                            8
+                        ],
+                        [
+                            0,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            0,
+                            0,
+                            0,
+                            8,
+                            8,
+                            8,
+                            0,
+                            8,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ]
+                    ],
+                    "output": [
+                        [
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0
+                        ],
+                        [
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0
+                        ],
+                        [
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0
+                        ]
+                    ]
+                }
+            },
+            "Replicate 4": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 8, 0, 8, 8, 0, 8, 8, 0, 0, 8, 0, 8, 0, 0], [8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [8, 8, 0, 8, 0, 8, 8, 0, 8, 8, 0, 0, 0, 8, 0], [8, 8, 0, 0, 0, 0, 8, 0, 8, 0, 8, 0, 0, 0, 0], [8, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 8, 0], [8, 0, 0, 0, 8, 8, 0, 8, 0, 0, 8, 8, 0, 0, 8], [0, 0, 8, 8, 8, 8, 0, 8, 8, 0, 8, 8, 8, 0, 0], [8, 0, 0, 8, 8, 8, 8, 0, 8, 8, 0, 0, 0, 0, 8], [8, 0, 0, 0, 0, 8, 8, 8, 0, 8, 0, 0, 8, 0, 0], [0, 0, 0, 0, 0, 0, 0, 8, 0, 8, 8, 8, 8, 8, 0], [8, 8, 0, 0, 8, 0, 0, 0, 8, 0, 0, 8, 8, 8, 8], [0, 0, 0, 8, 8, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0], [0, 0, 0, 8, 0, 8, 8, 8, 0, 0, 8, 0, 8, 8, 8], [0, 8, 8, 8, 0, 8, 0, 0, 8, 0, 8, 8, 0, 8, 0], [8, 0, 8, 0, 0, 0, 8, 8, 8, 0, 0, 8, 0, 8, 0], [0, 4, 4, 0, 4, 0, 0, 4, 4, 0, 4, 0, 4, 0, 4], [0, 0, 0, 4, 0, 0, 0, 0, 4, 4, 0, 4, 0, 4, 0], [0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 4, 0, 4, 4], [4, 4, 4, 0, 0, 0, 0, 0, 4, 0, 4, 0, 4, 4, 4], [0, 4, 4, 0, 0, 4, 0, 4, 0, 0, 4, 0, 4, 0, 0], [4, 4, 4, 4, 4, 4, 0, 4, 0, 0, 0, 4, 4, 0, 4], [0, 0, 0, 0, 4, 0, 0, 4, 0, 4, 0, 4, 4, 4, 0], [4, 4, 0, 0, 4, 0, 4, 4, 0, 0, 0, 0, 0, 4, 4], [4, 0, 4, 4, 4, 4, 4, 0, 4, 4, 0, 4, 4, 0, 4], [4, 0, 0, 0, 4, 0, 4, 4, 0, 4, 0, 4, 0, 0, 4], [0, 0, 4, 4, 0, 0, 4, 0, 4, 0, 4, 4, 0, 0, 0], [0, 0, 0, 4, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4], [0, 0, 0, 0, 4, 4, 4, 4, 0, 0, 4, 4, 4, 0, 4], [4, 4, 0, 0, 4, 4, 0, 0, 4, 0, 4, 4, 4, 0, 4], [0, 4, 0, 4, 0, 0, 0, 4, 4, 0, 4, 4, 4, 4, 4]] -> [[0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0], [0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0], [2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0], [0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0], [2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2], [0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0], [2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2], [2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0], [0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0], [0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0], [0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2], [0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0], [0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing the causal function for some elements.\n[[8, 0, 8, 0, 0, 8, 0, 0, 8, 8, 0, 8, 0, 8, 8], [0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [0, 0, 8, 0, 8, 0, 0, 8, 0, 0, 8, 8, 8, 0, 8], [0, 0, 8, 8, 8, 8, 0, 8, 0, 8, 0, 8, 8, 8, 8], [0, 8, 8, 8, 8, 0, 0, 8, 8, 8, 8, 8, 8, 0, 8], [0, 8, 8, 8, 0, 0, 8, 0, 8, 8, 0, 0, 8, 8, 0], [8, 8, 0, 0, 0, 0, 8, 0, 0, 8, 0, 0, 0, 8, 8], [0, 8, 8, 0, 0, 0, 0, 8, 0, 0, 8, 8, 8, 8, 0], [0, 8, 8, 8, 8, 0, 0, 0, 8, 0, 8, 8, 0, 8, 8], [8, 8, 8, 8, 8, 8, 8, 0, 8, 0, 0, 0, 0, 0, 8], [0, 0, 8, 8, 0, 8, 8, 8, 0, 8, 8, 0, 0, 0, 0], [8, 8, 8, 0, 0, 8, 8, 8, 0, 0, 0, 8, 8, 8, 8], [8, 8, 8, 0, 8, 0, 0, 0, 8, 8, 0, 8, 0, 0, 0], [8, 0, 0, 0, 8, 0, 8, 8, 0, 8, 0, 0, 8, 0, 8], [0, 8, 0, 8, 8, 8, 0, 0, 0, 8, 8, 0, 8, 0, 8], [0, 4, 0, 0, 0, 4, 0, 0, 4, 0, 4, 0, 4, 4, 4], [4, 0, 4, 0, 4, 4, 0, 0, 0, 4, 0, 0, 4, 0, 0], [0, 4, 0, 0, 4, 4, 0, 4, 0, 0, 0, 4, 4, 4, 0], [0, 0, 4, 4, 0, 4, 0, 0, 0, 4, 0, 0, 4, 0, 4], [0, 0, 0, 0, 4, 4, 0, 4, 0, 4, 4, 0, 0, 0, 4], [4, 0, 0, 0, 0, 0, 4, 0, 4, 4, 4, 0, 0, 4, 4], [0, 0, 4, 0, 4, 4, 4, 0, 4, 4, 0, 4, 0, 4, 0], [4, 0, 4, 0, 0, 0, 4, 0, 4, 0, 4, 0, 0, 0, 0], [4, 4, 4, 0, 4, 4, 4, 4, 0, 0, 4, 0, 0, 4, 0], [4, 0, 4, 4, 0, 0, 4, 0, 0, 4, 4, 4, 0, 4, 4], [4, 0, 0, 4, 0, 0, 0, 4, 4, 0, 0, 4, 0, 0, 0], [4, 4, 0, 4, 0, 0, 4, 4, 0, 0, 0, 0, 4, 0, 4], [0, 0, 0, 4, 4, 0, 4, 4, 4, 0, 4, 4, 4, 0, 4], [4, 4, 4, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 4, 0, 0, 0, 0, 4, 0, 4, 4, 0, 0, 0, 0]] -> [[0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2], [0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0], [0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0], [0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2], [0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2], [0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0], [0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0], [0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0], [0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0], [2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2], [0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0], [2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2], [0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0], [2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0], [0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 8, 0, 0, 0, 0, 8, 0, 0, 8, 0, 0, 8, 8], [8, 0, 0, 0, 0, 8, 0, 8, 0, 8, 8, 0, 0, 0, 8], [0, 0, 8, 0, 0, 8, 0, 0, 0, 8, 0, 8, 8, 0, 8], [0, 8, 8, 8, 8, 0, 0, 0, 0, 0, 8, 0, 8, 8, 0], [0, 0, 8, 8, 0, 8, 0, 8, 8, 0, 8, 8, 8, 0, 0], [8, 8, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 8, 0], [0, 8, 8, 0, 0, 0, 0, 8, 8, 8, 8, 8, 0, 0, 0], [8, 0, 8, 8, 0, 0, 8, 0, 8, 8, 8, 8, 8, 8, 0], [0, 0, 0, 8, 8, 8, 8, 0, 0, 8, 0, 0, 8, 8, 8], [0, 8, 0, 0, 8, 8, 8, 0, 0, 8, 8, 8, 0, 8, 8], [0, 0, 0, 8, 8, 8, 8, 8, 0, 0, 0, 8, 0, 0, 8], [8, 8, 8, 8, 8, 8, 0, 8, 0, 0, 8, 0, 8, 8, 8], [8, 8, 0, 0, 0, 8, 8, 8, 0, 0, 8, 0, 8, 8, 8], [8, 0, 8, 0, 0, 8, 8, 0, 8, 8, 0, 0, 0, 0, 8], [0, 8, 0, 8, 8, 0, 8, 8, 0, 8, 0, 0, 0, 8, 0], [4, 4, 4, 0, 0, 4, 0, 4, 0, 4, 0, 0, 0, 0, 4], [4, 4, 4, 0, 4, 4, 4, 4, 4, 0, 4, 0, 4, 4, 4], [0, 4, 4, 4, 4, 4, 0, 4, 4, 0, 0, 0, 0, 0, 4], [0, 0, 0, 4, 4, 4, 0, 4, 0, 4, 0, 4, 0, 0, 4], [4, 4, 0, 0, 4, 4, 4, 4, 4, 0, 4, 0, 0, 0, 4], [0, 0, 0, 0, 4, 0, 4, 4, 0, 0, 0, 4, 4, 0, 4], [0, 4, 0, 0, 0, 4, 0, 4, 0, 4, 4, 0, 4, 4, 4], [4, 0, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0], [4, 4, 0, 4, 4, 4, 4, 0, 0, 0, 4, 4, 4, 4, 4], [4, 0, 0, 4, 0, 4, 0, 4, 0, 0, 4, 4, 4, 4, 4], [0, 4, 4, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 4, 4], [0, 4, 4, 4, 0, 0, 4, 0, 4, 0, 0, 4, 4, 4, 4], [4, 4, 0, 0, 0, 0, 0, 4, 0, 4, 0, 0, 4, 0, 0], [0, 0, 0, 4, 0, 0, 4, 0, 0, 4, 4, 0, 0, 0, 0], [0, 0, 4, 0, 0, 0, 0, 4, 4, 0, 4, 4, 0, 4, 0]] -> [[0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2], [2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2], [0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2], [0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0], [0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0], [0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0], [0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0], [2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0], [0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2], [0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2], [0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2], [0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2], [2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0], [0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0], [0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 0, 4, 0, 4, 4, 0, 4, 4, 4, 0, 0, 4, 4, 4], [0, 0, 0, 4, 0, 0, 4, 0, 0, 0, 4, 0, 4, 0, 4], [4, 0, 0, 4, 4, 4, 4, 0, 0, 0, 0, 0, 4, 0, 0], [4, 4, 0, 0, 4, 4, 0, 0, 0, 4, 0, 0, 4, 4, 4], [4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0], [4, 0, 4, 0, 4, 4, 4, 4, 0, 4, 4, 4, 4, 0, 4], [0, 0, 4, 0, 4, 0, 0, 4, 4, 4, 4, 4, 4, 0, 4], [0, 0, 0, 4, 0, 0, 4, 0, 4, 0, 0, 4, 0, 0, 0], [4, 0, 0, 0, 4, 4, 0, 0, 4, 0, 0, 0, 4, 4, 0], [4, 4, 4, 4, 4, 4, 4, 4, 0, 4, 0, 0, 0, 0, 4], [0, 4, 4, 4, 0, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0], [4, 4, 0, 0, 4, 0, 0, 0, 4, 4, 4, 4, 0, 4, 4], [4, 0, 4, 0, 4, 0, 0, 4, 4, 4, 4, 4, 4, 0, 4], [0, 0, 4, 0, 0, 0, 4, 0, 4, 0, 0, 0, 4, 4, 4], [0, 0, 0, 4, 4, 0, 0, 0, 4, 0, 4, 4, 0, 4, 4]] -> ",
+                "test": {
+                    "input": [
+                        [
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+                            0,
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+                            4,
+                            4,
+                            0,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            4,
+                            4,
+                            0,
+                            0,
+                            4,
+                            0,
+                            0,
+                            0,
+                            4,
+                            4,
+                            4,
+                            4,
+                            0,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            0,
+                            4,
+                            0,
+                            4,
+                            0,
+                            0,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            0,
+                            4
+                        ],
+                        [
+                            0,
+                            0,
+                            4,
+                            0,
+                            0,
+                            0,
+                            4,
+                            0,
+                            4,
+                            0,
+                            0,
+                            0,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            4,
+                            0,
+                            4,
+                            4,
+                            0,
+                            4,
+                            4
+                        ]
+                    ],
+                    "output": [
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0
+                        ],
+                        [
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0
+                        ],
+                        [
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            2
+                        ],
+                        [
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0
+                        ],
+                        [
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            0,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2
+                        ]
+                    ]
+                }
+            }
+        }
+    },
+    "SCMu3am!and!or!axis1!20x20": {
+        "L1": {
+            "Replicate 0": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[5, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 5, 5, 5, 0, 0, 0, 0, 5, 0], [0, 0, 0, 0, 0, 0, 5, 0, 5, 0, 0, 5, 5, 5, 0, 5, 5, 5, 0, 0], [5, 0, 0, 5, 0, 0, 0, 5, 0, 5, 5, 5, 5, 5, 5, 0, 5, 5, 0, 5], [5, 0, 0, 0, 0, 5, 5, 0, 5, 0, 5, 5, 0, 0, 5, 0, 5, 5, 5, 5], [0, 0, 5, 0, 5, 0, 0, 5, 5, 5, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0], [5, 5, 5, 0, 0, 0, 5, 0, 5, 5, 5, 0, 5, 5, 0, 0, 5, 5, 0, 5], [0, 0, 5, 5, 0, 0, 0, 5, 5, 5, 0, 5, 0, 5, 0, 0, 5, 0, 5, 5], [0, 0, 0, 0, 5, 5, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0], [5, 0, 0, 0, 5, 0, 5, 5, 0, 5, 0, 0, 0, 5, 0, 5, 5, 5, 5, 5], [0, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 5, 5, 5, 5, 5, 5, 0, 5, 5], [5, 5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 5, 0, 0, 5, 0, 0, 5, 5], [0, 0, 0, 0, 0, 5, 0, 0, 0, 5, 0, 5, 5, 5, 5, 0, 5, 0, 0, 0], [5, 0, 0, 0, 0, 5, 5, 5, 5, 0, 5, 0, 5, 0, 5, 5, 0, 0, 5, 5], [0, 5, 5, 5, 0, 0, 0, 0, 5, 0, 5, 0, 5, 5, 5, 0, 5, 5, 0, 0], [5, 0, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 5, 5, 5, 0, 5, 5, 5, 0], [0, 0, 0, 5, 5, 5, 5, 0, 5, 0, 5, 5, 5, 0, 5, 0, 5, 0, 0, 5], [0, 5, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 5, 0, 0, 5, 0, 0, 5, 5], [5, 0, 5, 0, 0, 5, 5, 5, 5, 0, 5, 5, 5, 0, 5, 5, 0, 0, 0, 5], [0, 0, 5, 5, 0, 5, 5, 5, 5, 0, 0, 0, 5, 0, 5, 5, 0, 0, 0, 0], [0, 0, 0, 5, 0, 0, 5, 0, 0, 5, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5], [0, 7, 7, 7, 7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 0, 7, 0, 7, 7], [0, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 0, 7, 7], [0, 7, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7, 7, 7, 7, 0, 0, 7, 7, 7], [7, 7, 0, 7, 0, 7, 0, 0, 7, 7, 0, 0, 7, 7, 0, 7, 7, 7, 7, 7], [0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 7, 7, 7, 7, 7], [7, 0, 0, 7, 0, 7, 7, 0, 0, 7, 0, 7, 0, 0, 7, 7, 7, 7, 7, 7], [0, 0, 7, 7, 0, 0, 7, 7, 7, 7, 0, 0, 7, 0, 7, 0, 7, 7, 7, 7], [0, 0, 7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 0, 0, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 7, 7, 0, 7, 7], [7, 0, 7, 0, 0, 0, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 0, 0, 7, 0], [0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7], [0, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 7, 0, 7, 0, 0, 7], [0, 7, 7, 7, 7, 0, 0, 7, 7, 7, 0, 7, 7, 0, 0, 0, 0, 0, 7, 0], [7, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 7, 7, 7], [7, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0], [7, 0, 0, 0, 7, 7, 0, 0, 0, 7, 0, 0, 7, 7, 0, 7, 7, 7, 0, 7], [7, 0, 0, 0, 0, 7, 7, 7, 0, 0, 7, 0, 7, 7, 0, 7, 0, 0, 0, 7], [7, 7, 7, 0, 0, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 0, 0, 0, 0, 0], [7, 0, 7, 0, 7, 7, 0, 0, 7, 7, 0, 7, 0, 0, 7, 7, 7, 0, 0, 7], [0, 0, 7, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 7, 7]] -> [[0, 9, 9, 9, 0, 0, 0, 9, 9, 0, 0, 9, 9, 9, 0, 0, 0, 0, 9, 9], [0, 9, 0, 0, 0, 0, 9, 0, 9, 9, 0, 9, 9, 9, 0, 9, 0, 9, 0, 9], [0, 9, 0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 9, 9, 9, 0, 0, 9, 0, 9], [9, 9, 0, 9, 0, 9, 0, 0, 9, 9, 0, 9, 0, 9, 0, 9, 9, 9, 9, 9], [0, 9, 0, 0, 9, 0, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9], [9, 9, 0, 9, 0, 9, 9, 0, 0, 9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 9], [0, 0, 9, 9, 0, 0, 0, 9, 9, 9, 0, 9, 0, 9, 0, 0, 9, 9, 9, 9], [0, 0, 0, 0, 9, 9, 0, 9, 0, 0, 0, 9, 0, 0, 0, 9, 9, 9, 0, 9], [9, 9, 0, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0, 9, 0, 9, 9, 9, 9, 9], [0, 9, 9, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 0, 9, 9], [0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9, 9, 0, 0, 9, 0, 0, 0, 9], [0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 9, 0, 9, 0, 0, 9], [0, 9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 9, 9, 0, 0, 9, 0, 0, 9, 9], [0, 9, 0, 9, 0, 0, 0, 9, 0, 0, 0, 9, 0, 9, 0, 0, 0, 9, 0, 9], [9, 0, 0, 9, 0, 9, 0, 0, 9, 9, 0, 0, 0, 9, 9, 9, 9, 9, 0, 0], [0, 0, 0, 9, 9, 9, 0, 0, 0, 9, 0, 9, 9, 9, 0, 9, 9, 9, 0, 9], [0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0, 9], [9, 9, 9, 0, 0, 9, 9, 9, 9, 9, 9, 9, 0, 9, 9, 9, 0, 0, 0, 9], [0, 0, 9, 9, 0, 9, 0, 9, 9, 9, 0, 9, 0, 0, 9, 9, 0, 0, 0, 9], [0, 0, 0, 9, 0, 9, 9, 0, 0, 9, 0, 0, 0, 0, 9, 9, 9, 0, 9, 9]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 5, 5, 5, 5, 0, 0, 0, 5, 5, 5, 0, 5, 0, 0, 0], [5, 5, 5, 0, 5, 5, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 5], [0, 5, 5, 5, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0], [0, 0, 5, 0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 0, 0, 0, 0, 5, 5, 5], [0, 0, 5, 0, 0, 0, 0, 5, 5, 5, 0, 5, 0, 0, 5, 0, 5, 0, 0, 5], [0, 0, 5, 5, 0, 0, 5, 0, 0, 5, 0, 0, 5, 0, 5, 0, 5, 0, 5, 5], [5, 0, 5, 5, 0, 0, 5, 5, 0, 0, 5, 0, 5, 5, 0, 0, 5, 0, 5, 5], [5, 0, 0, 5, 5, 0, 5, 0, 5, 5, 5, 0, 5, 0, 0, 5, 5, 5, 0, 5], [5, 0, 5, 5, 5, 5, 5, 0, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 5], [0, 0, 5, 5, 0, 5, 0, 0, 0, 5, 5, 0, 0, 5, 5, 0, 0, 5, 0, 0], [5, 0, 5, 0, 0, 5, 5, 0, 5, 5, 5, 0, 0, 5, 5, 5, 5, 0, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 0, 5, 5, 5, 5, 5, 0, 5, 5, 0, 0, 0], [5, 5, 5, 5, 5, 0, 5, 0, 5, 5, 0, 5, 5, 5, 0, 5, 0, 0, 5, 0], [0, 5, 5, 5, 0, 5, 5, 0, 5, 5, 5, 0, 5, 0, 5, 0, 5, 5, 5, 5], [5, 5, 5, 0, 0, 0, 5, 5, 5, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 5], [0, 0, 5, 0, 5, 5, 5, 0, 5, 5, 0, 5, 5, 0, 0, 5, 0, 0, 0, 0], [0, 0, 0, 5, 0, 5, 0, 5, 5, 5, 5, 0, 5, 0, 0, 5, 0, 5, 5, 0], [0, 0, 5, 5, 0, 5, 0, 5, 0, 0, 0, 5, 5, 5, 5, 5, 0, 0, 0, 5], [0, 0, 5, 5, 0, 5, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 5, 5, 0], [5, 5, 5, 0, 5, 5, 5, 5, 0, 0, 5, 5, 0, 5, 0, 0, 5, 0, 5, 5], [7, 0, 7, 7, 0, 7, 0, 7, 7, 0, 0, 0, 0, 7, 7, 0, 7, 7, 0, 0], [7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7, 0, 0, 0, 7, 7, 0, 7, 0, 0], [0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 0, 7, 0, 0, 7, 7], [7, 0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0], [7, 0, 7, 7, 0, 0, 7, 0, 7, 7, 7, 7, 7, 0, 0, 0, 0, 7, 7, 0], [0, 0, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 0, 0, 7, 0, 0], [0, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 0, 7, 7, 0, 0, 7, 7, 7], [7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0], [7, 7, 0, 7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 0], [7, 7, 0, 0, 7, 0, 7, 7, 0, 0, 0, 7, 7, 7, 0, 7, 0, 7, 7, 0], [7, 7, 7, 0, 0, 7, 0, 0, 0, 7, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0], [0, 7, 7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 7, 7, 0, 7], [0, 0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 0, 7, 7, 7, 0, 0, 0, 7, 0], [0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 7, 7, 7, 7, 7, 0], [0, 0, 0, 0, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 0], [7, 7, 7, 7, 0, 0, 7, 0, 7, 7, 0, 7, 7, 0, 0, 7, 0, 7, 0, 0], [0, 7, 7, 7, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 7, 7, 0, 7], [0, 7, 7, 7, 0, 7, 7, 0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0], [7, 0, 0, 0, 7, 7, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0, 0], [7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7, 0, 0, 7, 0, 7, 0, 7]] -> [[0, 0, 0, 9, 0, 9, 0, 9, 9, 0, 0, 0, 0, 9, 9, 0, 9, 9, 0, 0], [9, 9, 9, 0, 9, 9, 0, 0, 0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9], [0, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9], [0, 0, 9, 9, 0, 0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 0, 0, 9, 9, 9], [0, 0, 9, 9, 0, 0, 0, 9, 9, 9, 0, 9, 0, 0, 0, 0, 0, 9, 0, 9], [0, 0, 9, 9, 0, 9, 0, 9, 0, 9, 0, 9, 9, 0, 0, 0, 0, 9, 0, 9], [0, 0, 9, 9, 0, 0, 9, 9, 0, 0, 9, 0, 0, 9, 0, 0, 0, 9, 9, 9], [9, 0, 0, 9, 9, 0, 0, 0, 0, 9, 9, 9, 0, 0, 0, 9, 0, 9, 0, 9], [9, 9, 0, 9, 0, 9, 9, 9, 0, 9, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9], [0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 0], [9, 9, 9, 0, 0, 9, 0, 0, 0, 9, 9, 9, 0, 9, 9, 9, 0, 0, 0, 9], [0, 9, 9, 9, 9, 9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 9, 9, 9, 0, 9], [0, 9, 9, 9, 9, 0, 0, 9, 0, 9, 0, 9, 9, 9, 0, 9, 0, 0, 9, 0], [0, 9, 0, 9, 0, 9, 9, 0, 0, 9, 0, 9, 0, 0, 9, 9, 9, 9, 9, 9], [0, 9, 0, 0, 0, 9, 9, 9, 0, 9, 0, 9, 9, 9, 0, 0, 0, 9, 0, 9], [0, 9, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 0, 9, 0, 9, 0, 0], [0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 9, 0, 0, 0, 0, 9, 0, 9, 0, 9], [0, 9, 9, 9, 0, 9, 0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9], [0, 0, 0, 9, 0, 9, 0, 9, 9, 9, 9, 9, 0, 9, 0, 9, 0, 9, 0, 0], [9, 9, 9, 9, 9, 9, 9, 9, 0, 9, 9, 9, 0, 9, 0, 9, 0, 9, 0, 9]]\nExample input-output arrays:\n[[5, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 5, 5, 5, 0, 0, 0, 0, 5, 0], [0, 0, 0, 0, 0, 0, 5, 0, 5, 0, 0, 5, 5, 5, 0, 5, 5, 5, 0, 0], [5, 0, 0, 5, 0, 0, 0, 5, 0, 5, 5, 5, 5, 5, 5, 0, 5, 5, 0, 5], [5, 0, 0, 0, 0, 5, 5, 0, 5, 0, 5, 5, 0, 0, 5, 0, 5, 5, 5, 5], [0, 0, 5, 0, 5, 0, 0, 5, 5, 5, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0], [5, 5, 5, 0, 0, 0, 5, 0, 5, 5, 5, 0, 5, 5, 0, 0, 5, 5, 0, 5], [0, 0, 5, 5, 0, 0, 0, 5, 5, 5, 0, 5, 0, 5, 0, 0, 5, 0, 5, 5], [0, 0, 0, 0, 5, 5, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0], [5, 0, 0, 0, 5, 0, 5, 5, 0, 5, 0, 0, 0, 5, 0, 5, 5, 5, 5, 5], [0, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 5, 5, 5, 5, 5, 5, 0, 5, 5], [5, 5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 5, 0, 0, 5, 0, 0, 5, 5], [0, 0, 0, 0, 0, 5, 0, 0, 0, 5, 0, 5, 5, 5, 5, 0, 5, 0, 0, 0], [5, 0, 0, 0, 0, 5, 5, 5, 5, 0, 5, 0, 5, 0, 5, 5, 0, 0, 5, 5], [0, 5, 5, 5, 0, 0, 0, 0, 5, 0, 5, 0, 5, 5, 5, 0, 5, 5, 0, 0], [5, 0, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 5, 5, 5, 0, 5, 5, 5, 0], [0, 0, 0, 5, 5, 5, 5, 0, 5, 0, 5, 5, 5, 0, 5, 0, 5, 0, 0, 5], [0, 5, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 5, 0, 0, 5, 0, 0, 5, 5], [5, 0, 5, 0, 0, 5, 5, 5, 5, 0, 5, 5, 5, 0, 5, 5, 0, 0, 0, 5], [0, 0, 5, 5, 0, 5, 5, 5, 5, 0, 0, 0, 5, 0, 5, 5, 0, 0, 0, 0], [0, 0, 0, 5, 0, 0, 5, 0, 0, 5, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5], [0, 7, 7, 7, 7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 0, 7, 0, 7, 7], [0, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 0, 7, 7], [0, 7, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7, 7, 7, 7, 0, 0, 7, 7, 7], [7, 7, 0, 7, 0, 7, 0, 0, 7, 7, 0, 0, 7, 7, 0, 7, 7, 7, 7, 7], [0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 7, 7, 7, 7, 7], [7, 0, 0, 7, 0, 7, 7, 0, 0, 7, 0, 7, 0, 0, 7, 7, 7, 7, 7, 7], [0, 0, 7, 7, 0, 0, 7, 7, 7, 7, 0, 0, 7, 0, 7, 0, 7, 7, 7, 7], [0, 0, 7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 0, 0, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 7, 7, 0, 7, 7], [7, 0, 7, 0, 0, 0, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 0, 0, 7, 0], [0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7], [0, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 7, 0, 7, 0, 0, 7], [0, 7, 7, 7, 7, 0, 0, 7, 7, 7, 0, 7, 7, 0, 0, 0, 0, 0, 7, 0], [7, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 7, 7, 7], [7, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0], [7, 0, 0, 0, 7, 7, 0, 0, 0, 7, 0, 0, 7, 7, 0, 7, 7, 7, 0, 7], [7, 0, 0, 0, 0, 7, 7, 7, 0, 0, 7, 0, 7, 7, 0, 7, 0, 0, 0, 7], [7, 7, 7, 0, 0, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 0, 0, 0, 0, 0], [7, 0, 7, 0, 7, 7, 0, 0, 7, 7, 0, 7, 0, 0, 7, 7, 7, 0, 0, 7], [0, 0, 7, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 7, 7]] -> [[0, 9, 9, 9, 0, 0, 0, 9, 9, 0, 0, 9, 9, 9, 0, 0, 0, 0, 9, 9], [0, 9, 0, 0, 0, 0, 9, 0, 9, 9, 0, 9, 9, 9, 0, 9, 0, 9, 0, 9], [0, 9, 0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 9, 9, 9, 0, 0, 9, 0, 9], [9, 9, 0, 9, 0, 9, 0, 0, 9, 9, 0, 9, 0, 9, 0, 9, 9, 9, 9, 9], [0, 9, 0, 0, 9, 0, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9], [9, 9, 0, 9, 0, 9, 9, 0, 0, 9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 9], [0, 0, 9, 9, 0, 0, 0, 9, 9, 9, 0, 9, 0, 9, 0, 0, 9, 9, 9, 9], [0, 0, 0, 0, 9, 9, 0, 9, 0, 0, 0, 9, 0, 0, 0, 9, 9, 9, 0, 9], [9, 9, 0, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0, 9, 0, 9, 9, 9, 9, 9], [0, 9, 9, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 0, 9, 9], [0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9, 9, 0, 0, 9, 0, 0, 0, 9], [0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 9, 0, 9, 0, 0, 9], [0, 9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 9, 9, 0, 0, 9, 0, 0, 9, 9], [0, 9, 0, 9, 0, 0, 0, 9, 0, 0, 0, 9, 0, 9, 0, 0, 0, 9, 0, 9], [9, 0, 0, 9, 0, 9, 0, 0, 9, 9, 0, 0, 0, 9, 9, 9, 9, 9, 0, 0], [0, 0, 0, 9, 9, 9, 0, 0, 0, 9, 0, 9, 9, 9, 0, 9, 9, 9, 0, 9], [0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0, 9], [9, 9, 9, 0, 0, 9, 9, 9, 9, 9, 9, 9, 0, 9, 9, 9, 0, 0, 0, 9], [0, 0, 9, 9, 0, 9, 0, 9, 9, 9, 0, 9, 0, 0, 9, 9, 0, 0, 0, 9], [0, 0, 0, 9, 0, 9, 9, 0, 0, 9, 0, 0, 0, 0, 9, 9, 9, 0, 9, 9]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0], [1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1], [1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1], [0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0], [1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1], [0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1], [0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0], [1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1], [0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1], [1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1], [0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0], [1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1], [0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0], [1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0], [0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1], [0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1], [1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1], [0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1], [0, 7, 7, 7, 7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 0, 7, 0, 7, 7], [0, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 0, 7, 7], [0, 7, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7, 7, 7, 7, 0, 0, 7, 7, 7], [7, 7, 0, 7, 0, 7, 0, 0, 7, 7, 0, 0, 7, 7, 0, 7, 7, 7, 7, 7], [0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 7, 7, 7, 7, 7], [7, 0, 0, 7, 0, 7, 7, 0, 0, 7, 0, 7, 0, 0, 7, 7, 7, 7, 7, 7], [0, 0, 7, 7, 0, 0, 7, 7, 7, 7, 0, 0, 7, 0, 7, 0, 7, 7, 7, 7], [0, 0, 7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 0, 0, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 7, 7, 0, 7, 7], [7, 0, 7, 0, 0, 0, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 0, 0, 7, 0], [0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7], [0, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 7, 0, 7, 0, 0, 7], [0, 7, 7, 7, 7, 0, 0, 7, 7, 7, 0, 7, 7, 0, 0, 0, 0, 0, 7, 0], [7, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 7, 7, 7], [7, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0], [7, 0, 0, 0, 7, 7, 0, 0, 0, 7, 0, 0, 7, 7, 0, 7, 7, 7, 0, 7], [7, 0, 0, 0, 0, 7, 7, 7, 0, 0, 7, 0, 7, 7, 0, 7, 0, 0, 0, 7], [7, 7, 7, 0, 0, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 0, 0, 0, 0, 0], [7, 0, 7, 0, 7, 7, 0, 0, 7, 7, 0, 7, 0, 0, 7, 7, 7, 0, 0, 7], [0, 0, 7, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 7, 7]] -> ",
+                "test": {
+                    "input": [
+                        [
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+                    ]
+                }
+            },
+            "Replicate 1": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 5, 5, 5, 5, 0, 0, 0, 5, 5, 5, 0, 5, 0, 0, 0], [5, 5, 5, 0, 5, 5, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 5], [0, 5, 5, 5, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0], [0, 0, 5, 0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 0, 0, 0, 0, 5, 5, 5], [0, 0, 5, 0, 0, 0, 0, 5, 5, 5, 0, 5, 0, 0, 5, 0, 5, 0, 0, 5], [0, 0, 5, 5, 0, 0, 5, 0, 0, 5, 0, 0, 5, 0, 5, 0, 5, 0, 5, 5], [5, 0, 5, 5, 0, 0, 5, 5, 0, 0, 5, 0, 5, 5, 0, 0, 5, 0, 5, 5], [5, 0, 0, 5, 5, 0, 5, 0, 5, 5, 5, 0, 5, 0, 0, 5, 5, 5, 0, 5], [5, 0, 5, 5, 5, 5, 5, 0, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 5], [0, 0, 5, 5, 0, 5, 0, 0, 0, 5, 5, 0, 0, 5, 5, 0, 0, 5, 0, 0], [5, 0, 5, 0, 0, 5, 5, 0, 5, 5, 5, 0, 0, 5, 5, 5, 5, 0, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 0, 5, 5, 5, 5, 5, 0, 5, 5, 0, 0, 0], [5, 5, 5, 5, 5, 0, 5, 0, 5, 5, 0, 5, 5, 5, 0, 5, 0, 0, 5, 0], [0, 5, 5, 5, 0, 5, 5, 0, 5, 5, 5, 0, 5, 0, 5, 0, 5, 5, 5, 5], [5, 5, 5, 0, 0, 0, 5, 5, 5, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 5], [0, 0, 5, 0, 5, 5, 5, 0, 5, 5, 0, 5, 5, 0, 0, 5, 0, 0, 0, 0], [0, 0, 0, 5, 0, 5, 0, 5, 5, 5, 5, 0, 5, 0, 0, 5, 0, 5, 5, 0], [0, 0, 5, 5, 0, 5, 0, 5, 0, 0, 0, 5, 5, 5, 5, 5, 0, 0, 0, 5], [0, 0, 5, 5, 0, 5, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 5, 5, 0], [5, 5, 5, 0, 5, 5, 5, 5, 0, 0, 5, 5, 0, 5, 0, 0, 5, 0, 5, 5], [7, 0, 7, 7, 0, 7, 0, 7, 7, 0, 0, 0, 0, 7, 7, 0, 7, 7, 0, 0], [7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7, 0, 0, 0, 7, 7, 0, 7, 0, 0], [0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 0, 7, 0, 0, 7, 7], [7, 0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0], [7, 0, 7, 7, 0, 0, 7, 0, 7, 7, 7, 7, 7, 0, 0, 0, 0, 7, 7, 0], [0, 0, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 0, 0, 7, 0, 0], [0, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 0, 7, 7, 0, 0, 7, 7, 7], [7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0], [7, 7, 0, 7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 0], [7, 7, 0, 0, 7, 0, 7, 7, 0, 0, 0, 7, 7, 7, 0, 7, 0, 7, 7, 0], [7, 7, 7, 0, 0, 7, 0, 0, 0, 7, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0], [0, 7, 7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 7, 7, 0, 7], [0, 0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 0, 7, 7, 7, 0, 0, 0, 7, 0], [0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 7, 7, 7, 7, 7, 0], [0, 0, 0, 0, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 0], [7, 7, 7, 7, 0, 0, 7, 0, 7, 7, 0, 7, 7, 0, 0, 7, 0, 7, 0, 0], [0, 7, 7, 7, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 7, 7, 0, 7], [0, 7, 7, 7, 0, 7, 7, 0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0], [7, 0, 0, 0, 7, 7, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0, 0], [7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7, 0, 0, 7, 0, 7, 0, 7]] -> [[0, 0, 0, 9, 0, 9, 0, 9, 9, 0, 0, 0, 0, 9, 9, 0, 9, 9, 0, 0], [9, 9, 9, 0, 9, 9, 0, 0, 0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9], [0, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9], [0, 0, 9, 9, 0, 0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 0, 0, 9, 9, 9], [0, 0, 9, 9, 0, 0, 0, 9, 9, 9, 0, 9, 0, 0, 0, 0, 0, 9, 0, 9], [0, 0, 9, 9, 0, 9, 0, 9, 0, 9, 0, 9, 9, 0, 0, 0, 0, 9, 0, 9], [0, 0, 9, 9, 0, 0, 9, 9, 0, 0, 9, 0, 0, 9, 0, 0, 0, 9, 9, 9], [9, 0, 0, 9, 9, 0, 0, 0, 0, 9, 9, 9, 0, 0, 0, 9, 0, 9, 0, 9], [9, 9, 0, 9, 0, 9, 9, 9, 0, 9, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9], [0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 0], [9, 9, 9, 0, 0, 9, 0, 0, 0, 9, 9, 9, 0, 9, 9, 9, 0, 0, 0, 9], [0, 9, 9, 9, 9, 9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 9, 9, 9, 0, 9], [0, 9, 9, 9, 9, 0, 0, 9, 0, 9, 0, 9, 9, 9, 0, 9, 0, 0, 9, 0], [0, 9, 0, 9, 0, 9, 9, 0, 0, 9, 0, 9, 0, 0, 9, 9, 9, 9, 9, 9], [0, 9, 0, 0, 0, 9, 9, 9, 0, 9, 0, 9, 9, 9, 0, 0, 0, 9, 0, 9], [0, 9, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 0, 9, 0, 9, 0, 0], [0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 9, 0, 0, 0, 0, 9, 0, 9, 0, 9], [0, 9, 9, 9, 0, 9, 0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9], [0, 0, 0, 9, 0, 9, 0, 9, 9, 9, 9, 9, 0, 9, 0, 9, 0, 9, 0, 0], [9, 9, 9, 9, 9, 9, 9, 9, 0, 9, 9, 9, 0, 9, 0, 9, 0, 9, 0, 9]]\nExample input-output arrays:\n[[5, 0, 0, 0, 5, 5, 0, 5, 5, 0, 0, 0, 5, 0, 0, 0, 5, 5, 5, 0], [5, 0, 0, 0, 5, 5, 5, 5, 0, 5, 5, 0, 0, 0, 5, 0, 0, 0, 5, 5], [5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 0, 5, 5, 5, 5, 5, 0], [5, 5, 5, 0, 5, 5, 5, 5, 0, 5, 0, 0, 0, 0, 0, 0, 5, 5, 0, 5], [5, 5, 5, 5, 0, 0, 5, 0, 0, 0, 5, 5, 5, 0, 5, 0, 0, 5, 5, 5], [5, 0, 5, 0, 5, 5, 5, 5, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 0, 5], [0, 5, 5, 5, 5, 0, 5, 0, 0, 5, 0, 5, 0, 5, 5, 0, 0, 5, 0, 0], [0, 0, 5, 5, 0, 5, 0, 0, 5, 5, 0, 0, 5, 5, 5, 0, 5, 5, 0, 0], [5, 5, 5, 5, 0, 0, 5, 0, 5, 0, 0, 5, 0, 0, 5, 5, 5, 5, 0, 5], [0, 0, 5, 5, 5, 0, 0, 5, 0, 5, 5, 5, 0, 5, 5, 5, 5, 5, 5, 5], [5, 0, 0, 5, 0, 5, 0, 0, 0, 0, 5, 0, 5, 0, 0, 0, 0, 0, 5, 5], [0, 5, 5, 5, 0, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 5, 0, 0, 0, 0], [0, 5, 0, 0, 0, 5, 5, 5, 5, 0, 0, 5, 0, 5, 5, 0, 5, 0, 0, 0], [0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 0, 5, 0, 0, 5, 0], [0, 5, 5, 5, 0, 5, 0, 0, 0, 5, 5, 0, 0, 0, 0, 5, 5, 5, 0, 0], [0, 0, 0, 5, 5, 0, 0, 5, 0, 5, 0, 5, 0, 5, 5, 0, 0, 0, 5, 0], [5, 0, 0, 5, 0, 5, 5, 0, 5, 5, 5, 0, 5, 0, 5, 5, 0, 5, 5, 5], [5, 5, 0, 0, 0, 5, 0, 5, 5, 5, 5, 5, 0, 0, 0, 0, 5, 0, 0, 5], [5, 5, 0, 5, 0, 0, 0, 5, 5, 0, 0, 0, 0, 5, 5, 0, 0, 5, 0, 5], [5, 0, 5, 0, 5, 0, 5, 5, 5, 0, 5, 5, 0, 5, 5, 5, 5, 5, 5, 0], [0, 0, 7, 7, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 7], [7, 7, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 7, 7, 7, 0, 7, 0, 0, 7], [0, 0, 7, 0, 0, 7, 0, 7, 0, 0, 7, 0, 7, 7, 7, 7, 0, 0, 0, 7], [7, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 7, 7], [0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7, 7, 0, 7, 7], [0, 0, 7, 7, 0, 0, 7, 0, 0, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 0], [0, 0, 7, 0, 7, 7, 0, 0, 0, 7, 7, 0, 7, 7, 7, 0, 7, 0, 7, 0], [0, 7, 7, 7, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 7, 7, 7, 7, 0], [0, 0, 0, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 7, 0, 0, 0], [7, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 7, 7, 7, 0, 7, 0, 7], [7, 0, 0, 0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 7, 7, 0, 7, 0, 7, 0], [0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 7, 7, 7, 7, 0, 0, 7, 7], [0, 7, 0, 0, 7, 7, 0, 7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 7], [7, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 0, 7, 7, 7, 7, 0, 0, 7, 7], [7, 7, 0, 0, 7, 7, 7, 7, 7, 0, 0, 7, 0, 7, 7, 7, 0, 0, 0, 7], [7, 0, 0, 7, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7, 0, 0], [0, 0, 0, 0, 7, 0, 7, 7, 0, 7, 0, 7, 7, 7, 0, 7, 0, 0, 0, 7], [7, 7, 0, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 7, 7, 7, 0, 0], [0, 7, 7, 7, 7, 0, 7, 7, 0, 0, 7, 7, 7, 0, 7, 7, 0, 0, 7, 7], [0, 7, 7, 0, 7, 0, 7, 0, 7, 7, 0, 7, 0, 0, 7, 0, 7, 7, 7, 0]] -> [[0, 0, 0, 9, 0, 9, 0, 9, 0, 0, 0, 0, 9, 9, 0, 9, 0, 9, 0, 9], [9, 9, 0, 9, 9, 9, 9, 9, 0, 9, 0, 9, 0, 9, 9, 0, 0, 0, 0, 9], [0, 0, 0, 0, 0, 9, 0, 9, 0, 0, 9, 0, 0, 9, 9, 9, 0, 9, 0, 9], [9, 9, 9, 0, 0, 9, 0, 9, 0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9], [0, 9, 9, 9, 0, 0, 0, 0, 0, 0, 9, 9, 0, 9, 0, 9, 0, 9, 9, 9], [0, 0, 9, 9, 0, 9, 9, 9, 0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9], [0, 9, 9, 9, 9, 9, 0, 0, 0, 9, 0, 9, 0, 9, 9, 0, 0, 9, 0, 0], [0, 9, 9, 9, 0, 9, 0, 0, 9, 9, 0, 0, 0, 9, 0, 9, 9, 9, 0, 0], [0, 9, 0, 9, 0, 9, 9, 0, 9, 9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 9], [0, 9, 9, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 9, 0, 9], [9, 0, 0, 9, 0, 9, 0, 0, 0, 0, 9, 9, 0, 9, 0, 0, 0, 0, 9, 9], [0, 9, 0, 9, 0, 9, 0, 0, 0, 9, 9, 0, 9, 9, 9, 9, 0, 0, 0, 9], [0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 9, 0, 9, 0, 0, 9], [0, 0, 0, 9, 0, 9, 0, 0, 9, 9, 0, 9, 0, 9, 0, 9, 0, 0, 9, 9], [0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9], [0, 0, 0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 9, 0, 0], [0, 0, 0, 9, 0, 9, 9, 9, 0, 9, 0, 9, 9, 9, 0, 9, 0, 9, 0, 9], [9, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9, 0, 0, 0, 9, 9, 9, 0, 9], [0, 9, 0, 9, 0, 0, 0, 9, 0, 0, 0, 9, 0, 9, 9, 9, 0, 9, 0, 9], [0, 9, 9, 0, 9, 0, 9, 9, 9, 9, 0, 9, 0, 9, 9, 9, 9, 9, 9, 0]]\nExample input-output arrays:\n[[5, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 5, 5, 5, 0, 0, 0, 0, 5, 0], [0, 0, 0, 0, 0, 0, 5, 0, 5, 0, 0, 5, 5, 5, 0, 5, 5, 5, 0, 0], [5, 0, 0, 5, 0, 0, 0, 5, 0, 5, 5, 5, 5, 5, 5, 0, 5, 5, 0, 5], [5, 0, 0, 0, 0, 5, 5, 0, 5, 0, 5, 5, 0, 0, 5, 0, 5, 5, 5, 5], [0, 0, 5, 0, 5, 0, 0, 5, 5, 5, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0], [5, 5, 5, 0, 0, 0, 5, 0, 5, 5, 5, 0, 5, 5, 0, 0, 5, 5, 0, 5], [0, 0, 5, 5, 0, 0, 0, 5, 5, 5, 0, 5, 0, 5, 0, 0, 5, 0, 5, 5], [0, 0, 0, 0, 5, 5, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0], [5, 0, 0, 0, 5, 0, 5, 5, 0, 5, 0, 0, 0, 5, 0, 5, 5, 5, 5, 5], [0, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 5, 5, 5, 5, 5, 5, 0, 5, 5], [5, 5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 5, 0, 0, 5, 0, 0, 5, 5], [0, 0, 0, 0, 0, 5, 0, 0, 0, 5, 0, 5, 5, 5, 5, 0, 5, 0, 0, 0], [5, 0, 0, 0, 0, 5, 5, 5, 5, 0, 5, 0, 5, 0, 5, 5, 0, 0, 5, 5], [0, 5, 5, 5, 0, 0, 0, 0, 5, 0, 5, 0, 5, 5, 5, 0, 5, 5, 0, 0], [5, 0, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 5, 5, 5, 0, 5, 5, 5, 0], [0, 0, 0, 5, 5, 5, 5, 0, 5, 0, 5, 5, 5, 0, 5, 0, 5, 0, 0, 5], [0, 5, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 5, 0, 0, 5, 0, 0, 5, 5], [5, 0, 5, 0, 0, 5, 5, 5, 5, 0, 5, 5, 5, 0, 5, 5, 0, 0, 0, 5], [0, 0, 5, 5, 0, 5, 5, 5, 5, 0, 0, 0, 5, 0, 5, 5, 0, 0, 0, 0], [0, 0, 0, 5, 0, 0, 5, 0, 0, 5, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5], [0, 7, 7, 7, 7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 0, 7, 0, 7, 7], [0, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 0, 7, 7], [0, 7, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7, 7, 7, 7, 0, 0, 7, 7, 7], [7, 7, 0, 7, 0, 7, 0, 0, 7, 7, 0, 0, 7, 7, 0, 7, 7, 7, 7, 7], [0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 7, 7, 7, 7, 7], [7, 0, 0, 7, 0, 7, 7, 0, 0, 7, 0, 7, 0, 0, 7, 7, 7, 7, 7, 7], [0, 0, 7, 7, 0, 0, 7, 7, 7, 7, 0, 0, 7, 0, 7, 0, 7, 7, 7, 7], [0, 0, 7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 0, 0, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 7, 7, 0, 7, 7], [7, 0, 7, 0, 0, 0, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 0, 0, 7, 0], [0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7], [0, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 7, 0, 7, 0, 0, 7], [0, 7, 7, 7, 7, 0, 0, 7, 7, 7, 0, 7, 7, 0, 0, 0, 0, 0, 7, 0], [7, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 7, 7, 7], [7, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0], [7, 0, 0, 0, 7, 7, 0, 0, 0, 7, 0, 0, 7, 7, 0, 7, 7, 7, 0, 7], [7, 0, 0, 0, 0, 7, 7, 7, 0, 0, 7, 0, 7, 7, 0, 7, 0, 0, 0, 7], [7, 7, 7, 0, 0, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 0, 0, 0, 0, 0], [7, 0, 7, 0, 7, 7, 0, 0, 7, 7, 0, 7, 0, 0, 7, 7, 7, 0, 0, 7], [0, 0, 7, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 7, 7]] -> [[0, 9, 9, 9, 0, 0, 0, 9, 9, 0, 0, 9, 9, 9, 0, 0, 0, 0, 9, 9], [0, 9, 0, 0, 0, 0, 9, 0, 9, 9, 0, 9, 9, 9, 0, 9, 0, 9, 0, 9], [0, 9, 0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 9, 9, 9, 0, 0, 9, 0, 9], [9, 9, 0, 9, 0, 9, 0, 0, 9, 9, 0, 9, 0, 9, 0, 9, 9, 9, 9, 9], [0, 9, 0, 0, 9, 0, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9], [9, 9, 0, 9, 0, 9, 9, 0, 0, 9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 9], [0, 0, 9, 9, 0, 0, 0, 9, 9, 9, 0, 9, 0, 9, 0, 0, 9, 9, 9, 9], [0, 0, 0, 0, 9, 9, 0, 9, 0, 0, 0, 9, 0, 0, 0, 9, 9, 9, 0, 9], [9, 9, 0, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0, 9, 0, 9, 9, 9, 9, 9], [0, 9, 9, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 0, 9, 9], [0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9, 9, 0, 0, 9, 0, 0, 0, 9], [0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 9, 0, 9, 0, 0, 9], [0, 9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 9, 9, 0, 0, 9, 0, 0, 9, 9], [0, 9, 0, 9, 0, 0, 0, 9, 0, 0, 0, 9, 0, 9, 0, 0, 0, 9, 0, 9], [9, 0, 0, 9, 0, 9, 0, 0, 9, 9, 0, 0, 0, 9, 9, 9, 9, 9, 0, 0], [0, 0, 0, 9, 9, 9, 0, 0, 0, 9, 0, 9, 9, 9, 0, 9, 9, 9, 0, 9], [0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0, 9], [9, 9, 9, 0, 0, 9, 9, 9, 9, 9, 9, 9, 0, 9, 9, 9, 0, 0, 0, 9], [0, 0, 9, 9, 0, 9, 0, 9, 9, 9, 0, 9, 0, 0, 9, 9, 0, 0, 0, 9], [0, 0, 0, 9, 0, 9, 9, 0, 0, 9, 0, 0, 0, 0, 9, 9, 9, 0, 9, 9]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[8, 0, 8, 0, 0, 0, 0, 0, 8, 0, 0, 8, 8, 8, 0, 0, 0, 0, 8, 0], [0, 0, 0, 0, 0, 0, 8, 0, 8, 0, 0, 8, 8, 8, 0, 8, 8, 8, 0, 0], [8, 0, 0, 8, 0, 0, 0, 8, 0, 8, 8, 8, 8, 8, 8, 0, 8, 8, 0, 8], [8, 0, 0, 0, 0, 8, 8, 0, 8, 0, 8, 8, 0, 0, 8, 0, 8, 8, 8, 8], [0, 0, 8, 0, 8, 0, 0, 8, 8, 8, 0, 8, 8, 8, 0, 0, 0, 0, 0, 0], [8, 8, 8, 0, 0, 0, 8, 0, 8, 8, 8, 0, 8, 8, 0, 0, 8, 8, 0, 8], [0, 0, 8, 8, 0, 0, 0, 8, 8, 8, 0, 8, 0, 8, 0, 0, 8, 0, 8, 8], [0, 0, 0, 0, 8, 8, 0, 8, 0, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0], [8, 0, 0, 0, 8, 0, 8, 8, 0, 8, 0, 0, 0, 8, 0, 8, 8, 8, 8, 8], [0, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 8, 8, 0, 8, 8], [8, 8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 8, 8, 0, 0, 8, 0, 0, 8, 8], [0, 0, 0, 0, 0, 8, 0, 0, 0, 8, 0, 8, 8, 8, 8, 0, 8, 0, 0, 0], [8, 0, 0, 0, 0, 8, 8, 8, 8, 0, 8, 0, 8, 0, 8, 8, 0, 0, 8, 8], [0, 8, 8, 8, 0, 0, 0, 0, 8, 0, 8, 0, 8, 8, 8, 0, 8, 8, 0, 0], [8, 0, 0, 8, 0, 8, 0, 0, 8, 0, 8, 0, 8, 8, 8, 0, 8, 8, 8, 0], [0, 0, 0, 8, 8, 8, 8, 0, 8, 0, 8, 8, 8, 0, 8, 0, 8, 0, 0, 8], [0, 8, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 0, 0, 8, 0, 0, 8, 8], [8, 0, 8, 0, 0, 8, 8, 8, 8, 0, 8, 8, 8, 0, 8, 8, 0, 0, 0, 8], [0, 0, 8, 8, 0, 8, 8, 8, 8, 0, 0, 0, 8, 0, 8, 8, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 8, 0, 0, 8, 0, 0, 0, 0, 8, 8, 8, 0, 8, 8], [0, 7, 7, 7, 7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 0, 7, 0, 7, 7], [0, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 0, 7, 7], [0, 7, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7, 7, 7, 7, 0, 0, 7, 7, 7], [7, 7, 0, 7, 0, 7, 0, 0, 7, 7, 0, 0, 7, 7, 0, 7, 7, 7, 7, 7], [0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 7, 7, 7, 7, 7], [7, 0, 0, 7, 0, 7, 7, 0, 0, 7, 0, 7, 0, 0, 7, 7, 7, 7, 7, 7], [0, 0, 7, 7, 0, 0, 7, 7, 7, 7, 0, 0, 7, 0, 7, 0, 7, 7, 7, 7], [0, 0, 7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 0, 0, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 7, 7, 0, 7, 7], [7, 0, 7, 0, 0, 0, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 0, 0, 7, 0], [0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7], [0, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 7, 0, 7, 0, 0, 7], [0, 7, 7, 7, 7, 0, 0, 7, 7, 7, 0, 7, 7, 0, 0, 0, 0, 0, 7, 0], [7, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 7, 7, 7], [7, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0], [7, 0, 0, 0, 7, 7, 0, 0, 0, 7, 0, 0, 7, 7, 0, 7, 7, 7, 0, 7], [7, 0, 0, 0, 0, 7, 7, 7, 0, 0, 7, 0, 7, 7, 0, 7, 0, 0, 0, 7], [7, 7, 7, 0, 0, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 0, 0, 0, 0, 0], [7, 0, 7, 0, 7, 7, 0, 0, 7, 7, 0, 7, 0, 0, 7, 7, 7, 0, 0, 7], [0, 0, 7, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 7, 7]] -> ",
+                "test": {
+                    "input": [
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+                        ]
+                    ],
+                    "output": [
+                        [
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+                }
+            },
+            "Replicate 2": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 5, 0, 5, 5, 0, 0, 0, 5, 5, 0, 0, 0, 5, 0, 5, 0, 5, 0], [0, 5, 0, 5, 0, 5, 5, 0, 5, 0, 5, 0, 0, 5, 0, 5, 5, 5, 0, 0], [5, 0, 5, 0, 0, 5, 5, 0, 0, 0, 5, 5, 5, 0, 5, 5, 0, 0, 5, 0], [0, 5, 0, 0, 5, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 0, 0, 0, 5, 0], [5, 5, 5, 5, 0, 5, 0, 5, 5, 0, 0, 0, 0, 5, 0, 5, 0, 0, 5, 5], [5, 0, 5, 5, 0, 0, 0, 5, 0, 5, 5, 5, 5, 5, 0, 0, 5, 5, 5, 5], [5, 0, 5, 5, 5, 0, 0, 0, 5, 0, 0, 5, 0, 0, 5, 5, 0, 5, 5, 0], [5, 0, 5, 5, 0, 0, 0, 0, 5, 0, 5, 0, 0, 0, 0, 5, 5, 0, 0, 5], [5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 0, 5, 5, 0, 5, 0, 0], [5, 0, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 0, 0, 5, 5, 5, 5, 0, 0], [0, 5, 0, 0, 0, 5, 5, 0, 0, 0, 5, 0, 5, 0, 5, 0, 0, 0, 0, 0], [5, 0, 0, 5, 0, 0, 5, 5, 5, 0, 5, 0, 0, 5, 5, 5, 0, 5, 0, 5], [5, 0, 5, 0, 0, 0, 0, 5, 0, 5, 0, 0, 0, 5, 5, 5, 5, 0, 5, 5], [0, 5, 0, 5, 0, 5, 5, 0, 5, 0, 5, 5, 5, 0, 5, 0, 0, 5, 5, 5], [0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 0], [5, 0, 0, 5, 5, 5, 0, 5, 5, 0, 5, 5, 5, 5, 0, 5, 5, 0, 0, 5], [0, 0, 5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 0, 5, 5, 5, 5, 5, 0, 5], [0, 0, 5, 0, 0, 5, 0, 0, 0, 5, 0, 5, 5, 0, 0, 5, 0, 0, 0, 0], [5, 5, 5, 0, 0, 0, 0, 0, 5, 5, 0, 5, 5, 5, 0, 0, 0, 0, 0, 5], [5, 5, 0, 0, 5, 5, 0, 0, 5, 0, 5, 0, 0, 5, 5, 5, 0, 5, 0, 0], [0, 7, 0, 0, 0, 7, 7, 0, 7, 7, 7, 7, 0, 7, 0, 0, 7, 0, 7, 0], [7, 0, 7, 0, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7, 0, 7, 7, 0], [0, 7, 7, 7, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 7, 0, 0, 0, 0, 0], [7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 7, 0, 0], [0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 7, 0, 0], [7, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 0, 0, 7, 7, 7, 0, 7, 7, 7], [7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0], [0, 7, 0, 7, 0, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7, 0, 7, 7], [0, 7, 7, 0, 0, 7, 0, 0, 7, 7, 7, 7, 7, 0, 0, 7, 0, 7, 0, 7], [0, 0, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0], [7, 7, 7, 7, 7, 0, 7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 7, 0, 7, 7], [7, 7, 0, 0, 0, 0, 7, 7, 7, 0, 0, 7, 0, 0, 0, 7, 7, 7, 0, 0], [0, 7, 7, 7, 0, 0, 0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 7, 0, 0], [7, 0, 0, 7, 7, 0, 7, 0, 7, 7, 0, 7, 7, 0, 0, 0, 0, 0, 0, 7], [0, 0, 7, 0, 7, 0, 0, 7, 7, 0, 7, 0, 7, 7, 0, 0, 7, 7, 0, 0], [0, 7, 7, 0, 7, 0, 0, 0, 0, 0, 7, 0, 7, 7, 7, 0, 7, 7, 0, 7], [7, 7, 7, 7, 0, 0, 0, 7, 0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 0, 7], [7, 0, 7, 0, 7, 0, 7, 0, 0, 7, 0, 0, 0, 0, 7, 7, 7, 0, 0, 7], [7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 7, 0, 0, 7, 7, 0, 0], [0, 0, 0, 7, 0, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0, 7, 0, 0, 7, 0]] -> [[0, 9, 0, 0, 0, 9, 0, 0, 0, 9, 9, 9, 0, 9, 0, 0, 9, 0, 9, 0], [0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 0], [0, 9, 9, 9, 0, 9, 9, 9, 0, 0, 9, 9, 9, 0, 9, 9, 0, 0, 0, 0], [0, 9, 0, 9, 9, 9, 0, 0, 0, 9, 9, 9, 0, 9, 9, 0, 0, 9, 0, 0], [0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9], [9, 9, 9, 9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 9, 0, 9, 0, 9, 9, 9], [9, 0, 9, 9, 9, 9, 0, 0, 9, 9, 0, 9, 0, 0, 9, 9, 0, 9, 9, 0], [0, 9, 0, 9, 0, 9, 0, 0, 9, 0, 9, 0, 0, 9, 0, 9, 9, 0, 0, 9], [0, 9, 9, 9, 0, 9, 0, 0, 9, 9, 0, 9, 9, 0, 0, 9, 0, 9, 0, 9], [0, 0, 0, 9, 0, 9, 0, 0, 0, 9, 9, 9, 0, 0, 0, 9, 0, 9, 0, 0], [0, 9, 0, 9, 0, 9, 9, 0, 0, 9, 9, 9, 9, 9, 0, 0, 0, 0, 0, 9], [9, 9, 0, 9, 0, 0, 9, 9, 9, 0, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9], [0, 9, 9, 9, 0, 0, 0, 9, 0, 9, 0, 0, 0, 9, 9, 9, 9, 9, 0, 9], [0, 9, 0, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 0, 0, 0, 9, 0, 9], [0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 9, 0, 0, 9, 9, 0, 0], [0, 9, 0, 9, 9, 9, 0, 9, 0, 0, 9, 9, 9, 9, 0, 9, 9, 9, 0, 9], [0, 9, 9, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 9, 0, 9], [0, 0, 9, 0, 0, 9, 0, 0, 0, 9, 0, 9, 0, 0, 0, 9, 0, 0, 0, 9], [9, 9, 0, 0, 0, 0, 0, 0, 0, 9, 0, 9, 9, 9, 0, 0, 0, 9, 0, 9], [0, 9, 0, 9, 0, 9, 0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9, 0, 0]]\nExample input-output arrays:\n[[5, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 5, 5, 5, 0, 0, 0, 0, 5, 0], [0, 0, 0, 0, 0, 0, 5, 0, 5, 0, 0, 5, 5, 5, 0, 5, 5, 5, 0, 0], [5, 0, 0, 5, 0, 0, 0, 5, 0, 5, 5, 5, 5, 5, 5, 0, 5, 5, 0, 5], [5, 0, 0, 0, 0, 5, 5, 0, 5, 0, 5, 5, 0, 0, 5, 0, 5, 5, 5, 5], [0, 0, 5, 0, 5, 0, 0, 5, 5, 5, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0], [5, 5, 5, 0, 0, 0, 5, 0, 5, 5, 5, 0, 5, 5, 0, 0, 5, 5, 0, 5], [0, 0, 5, 5, 0, 0, 0, 5, 5, 5, 0, 5, 0, 5, 0, 0, 5, 0, 5, 5], [0, 0, 0, 0, 5, 5, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0], [5, 0, 0, 0, 5, 0, 5, 5, 0, 5, 0, 0, 0, 5, 0, 5, 5, 5, 5, 5], [0, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 5, 5, 5, 5, 5, 5, 0, 5, 5], [5, 5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 5, 0, 0, 5, 0, 0, 5, 5], [0, 0, 0, 0, 0, 5, 0, 0, 0, 5, 0, 5, 5, 5, 5, 0, 5, 0, 0, 0], [5, 0, 0, 0, 0, 5, 5, 5, 5, 0, 5, 0, 5, 0, 5, 5, 0, 0, 5, 5], [0, 5, 5, 5, 0, 0, 0, 0, 5, 0, 5, 0, 5, 5, 5, 0, 5, 5, 0, 0], [5, 0, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 5, 5, 5, 0, 5, 5, 5, 0], [0, 0, 0, 5, 5, 5, 5, 0, 5, 0, 5, 5, 5, 0, 5, 0, 5, 0, 0, 5], [0, 5, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 5, 0, 0, 5, 0, 0, 5, 5], [5, 0, 5, 0, 0, 5, 5, 5, 5, 0, 5, 5, 5, 0, 5, 5, 0, 0, 0, 5], [0, 0, 5, 5, 0, 5, 5, 5, 5, 0, 0, 0, 5, 0, 5, 5, 0, 0, 0, 0], [0, 0, 0, 5, 0, 0, 5, 0, 0, 5, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5], [0, 7, 7, 7, 7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 0, 7, 0, 7, 7], [0, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 0, 7, 7], [0, 7, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7, 7, 7, 7, 0, 0, 7, 7, 7], [7, 7, 0, 7, 0, 7, 0, 0, 7, 7, 0, 0, 7, 7, 0, 7, 7, 7, 7, 7], [0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 7, 7, 7, 7, 7], [7, 0, 0, 7, 0, 7, 7, 0, 0, 7, 0, 7, 0, 0, 7, 7, 7, 7, 7, 7], [0, 0, 7, 7, 0, 0, 7, 7, 7, 7, 0, 0, 7, 0, 7, 0, 7, 7, 7, 7], [0, 0, 7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 0, 0, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 7, 7, 0, 7, 7], [7, 0, 7, 0, 0, 0, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 0, 0, 7, 0], [0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7], [0, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 7, 0, 7, 0, 0, 7], [0, 7, 7, 7, 7, 0, 0, 7, 7, 7, 0, 7, 7, 0, 0, 0, 0, 0, 7, 0], [7, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 7, 7, 7], [7, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0], [7, 0, 0, 0, 7, 7, 0, 0, 0, 7, 0, 0, 7, 7, 0, 7, 7, 7, 0, 7], [7, 0, 0, 0, 0, 7, 7, 7, 0, 0, 7, 0, 7, 7, 0, 7, 0, 0, 0, 7], [7, 7, 7, 0, 0, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 0, 0, 0, 0, 0], [7, 0, 7, 0, 7, 7, 0, 0, 7, 7, 0, 7, 0, 0, 7, 7, 7, 0, 0, 7], [0, 0, 7, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 7, 7]] -> [[0, 9, 9, 9, 0, 0, 0, 9, 9, 0, 0, 9, 9, 9, 0, 0, 0, 0, 9, 9], [0, 9, 0, 0, 0, 0, 9, 0, 9, 9, 0, 9, 9, 9, 0, 9, 0, 9, 0, 9], [0, 9, 0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 9, 9, 9, 0, 0, 9, 0, 9], [9, 9, 0, 9, 0, 9, 0, 0, 9, 9, 0, 9, 0, 9, 0, 9, 9, 9, 9, 9], [0, 9, 0, 0, 9, 0, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9], [9, 9, 0, 9, 0, 9, 9, 0, 0, 9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 9], [0, 0, 9, 9, 0, 0, 0, 9, 9, 9, 0, 9, 0, 9, 0, 0, 9, 9, 9, 9], [0, 0, 0, 0, 9, 9, 0, 9, 0, 0, 0, 9, 0, 0, 0, 9, 9, 9, 0, 9], [9, 9, 0, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0, 9, 0, 9, 9, 9, 9, 9], [0, 9, 9, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 0, 9, 9], [0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9, 9, 0, 0, 9, 0, 0, 0, 9], [0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 9, 0, 9, 0, 0, 9], [0, 9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 9, 9, 0, 0, 9, 0, 0, 9, 9], [0, 9, 0, 9, 0, 0, 0, 9, 0, 0, 0, 9, 0, 9, 0, 0, 0, 9, 0, 9], [9, 0, 0, 9, 0, 9, 0, 0, 9, 9, 0, 0, 0, 9, 9, 9, 9, 9, 0, 0], [0, 0, 0, 9, 9, 9, 0, 0, 0, 9, 0, 9, 9, 9, 0, 9, 9, 9, 0, 9], [0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0, 9], [9, 9, 9, 0, 0, 9, 9, 9, 9, 9, 9, 9, 0, 9, 9, 9, 0, 0, 0, 9], [0, 0, 9, 9, 0, 9, 0, 9, 9, 9, 0, 9, 0, 0, 9, 9, 0, 0, 0, 9], [0, 0, 0, 9, 0, 9, 9, 0, 0, 9, 0, 0, 0, 0, 9, 9, 9, 0, 9, 9]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 5, 5, 5, 5, 0, 0, 0, 5, 5, 5, 0, 5, 0, 0, 0], [5, 5, 5, 0, 5, 5, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 5], [0, 5, 5, 5, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0], [0, 0, 5, 0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 0, 0, 0, 0, 5, 5, 5], [0, 0, 5, 0, 0, 0, 0, 5, 5, 5, 0, 5, 0, 0, 5, 0, 5, 0, 0, 5], [0, 0, 5, 5, 0, 0, 5, 0, 0, 5, 0, 0, 5, 0, 5, 0, 5, 0, 5, 5], [5, 0, 5, 5, 0, 0, 5, 5, 0, 0, 5, 0, 5, 5, 0, 0, 5, 0, 5, 5], [5, 0, 0, 5, 5, 0, 5, 0, 5, 5, 5, 0, 5, 0, 0, 5, 5, 5, 0, 5], [5, 0, 5, 5, 5, 5, 5, 0, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 5], [0, 0, 5, 5, 0, 5, 0, 0, 0, 5, 5, 0, 0, 5, 5, 0, 0, 5, 0, 0], [5, 0, 5, 0, 0, 5, 5, 0, 5, 5, 5, 0, 0, 5, 5, 5, 5, 0, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 0, 5, 5, 5, 5, 5, 0, 5, 5, 0, 0, 0], [5, 5, 5, 5, 5, 0, 5, 0, 5, 5, 0, 5, 5, 5, 0, 5, 0, 0, 5, 0], [0, 5, 5, 5, 0, 5, 5, 0, 5, 5, 5, 0, 5, 0, 5, 0, 5, 5, 5, 5], [5, 5, 5, 0, 0, 0, 5, 5, 5, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 5], [0, 0, 5, 0, 5, 5, 5, 0, 5, 5, 0, 5, 5, 0, 0, 5, 0, 0, 0, 0], [0, 0, 0, 5, 0, 5, 0, 5, 5, 5, 5, 0, 5, 0, 0, 5, 0, 5, 5, 0], [0, 0, 5, 5, 0, 5, 0, 5, 0, 0, 0, 5, 5, 5, 5, 5, 0, 0, 0, 5], [0, 0, 5, 5, 0, 5, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 5, 5, 0], [5, 5, 5, 0, 5, 5, 5, 5, 0, 0, 5, 5, 0, 5, 0, 0, 5, 0, 5, 5], [7, 0, 7, 7, 0, 7, 0, 7, 7, 0, 0, 0, 0, 7, 7, 0, 7, 7, 0, 0], [7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7, 0, 0, 0, 7, 7, 0, 7, 0, 0], [0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 0, 7, 0, 0, 7, 7], [7, 0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0], [7, 0, 7, 7, 0, 0, 7, 0, 7, 7, 7, 7, 7, 0, 0, 0, 0, 7, 7, 0], [0, 0, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 0, 0, 7, 0, 0], [0, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 0, 7, 7, 0, 0, 7, 7, 7], [7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0], [7, 7, 0, 7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 0], [7, 7, 0, 0, 7, 0, 7, 7, 0, 0, 0, 7, 7, 7, 0, 7, 0, 7, 7, 0], [7, 7, 7, 0, 0, 7, 0, 0, 0, 7, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0], [0, 7, 7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 7, 7, 0, 7], [0, 0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 0, 7, 7, 7, 0, 0, 0, 7, 0], [0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 7, 7, 7, 7, 7, 0], [0, 0, 0, 0, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 0], [7, 7, 7, 7, 0, 0, 7, 0, 7, 7, 0, 7, 7, 0, 0, 7, 0, 7, 0, 0], [0, 7, 7, 7, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 7, 7, 0, 7], [0, 7, 7, 7, 0, 7, 7, 0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0], [7, 0, 0, 0, 7, 7, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0, 0], [7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7, 0, 0, 7, 0, 7, 0, 7]] -> [[0, 0, 0, 9, 0, 9, 0, 9, 9, 0, 0, 0, 0, 9, 9, 0, 9, 9, 0, 0], [9, 9, 9, 0, 9, 9, 0, 0, 0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9], [0, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9], [0, 0, 9, 9, 0, 0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 0, 0, 9, 9, 9], [0, 0, 9, 9, 0, 0, 0, 9, 9, 9, 0, 9, 0, 0, 0, 0, 0, 9, 0, 9], [0, 0, 9, 9, 0, 9, 0, 9, 0, 9, 0, 9, 9, 0, 0, 0, 0, 9, 0, 9], [0, 0, 9, 9, 0, 0, 9, 9, 0, 0, 9, 0, 0, 9, 0, 0, 0, 9, 9, 9], [9, 0, 0, 9, 9, 0, 0, 0, 0, 9, 9, 9, 0, 0, 0, 9, 0, 9, 0, 9], [9, 9, 0, 9, 0, 9, 9, 9, 0, 9, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9], [0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 0], [9, 9, 9, 0, 0, 9, 0, 0, 0, 9, 9, 9, 0, 9, 9, 9, 0, 0, 0, 9], [0, 9, 9, 9, 9, 9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 9, 9, 9, 0, 9], [0, 9, 9, 9, 9, 0, 0, 9, 0, 9, 0, 9, 9, 9, 0, 9, 0, 0, 9, 0], [0, 9, 0, 9, 0, 9, 9, 0, 0, 9, 0, 9, 0, 0, 9, 9, 9, 9, 9, 9], [0, 9, 0, 0, 0, 9, 9, 9, 0, 9, 0, 9, 9, 9, 0, 0, 0, 9, 0, 9], [0, 9, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 0, 9, 0, 9, 0, 0], [0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 9, 0, 0, 0, 0, 9, 0, 9, 0, 9], [0, 9, 9, 9, 0, 9, 0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9], [0, 0, 0, 9, 0, 9, 0, 9, 9, 9, 9, 9, 0, 9, 0, 9, 0, 9, 0, 0], [9, 9, 9, 9, 9, 9, 9, 9, 0, 9, 9, 9, 0, 9, 0, 9, 0, 9, 0, 9]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 0, 0, 0, 0, 4, 4, 4, 4, 0, 0, 0, 4, 4, 4, 0, 4, 0, 0, 0], [4, 4, 4, 0, 4, 4, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 4, 4, 4], [0, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0], [0, 0, 4, 0, 0, 0, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 0, 4, 4, 4], [0, 0, 4, 0, 0, 0, 0, 4, 4, 4, 0, 4, 0, 0, 4, 0, 4, 0, 0, 4], [0, 0, 4, 4, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 4, 0, 4, 0, 4, 4], [4, 0, 4, 4, 0, 0, 4, 4, 0, 0, 4, 0, 4, 4, 0, 0, 4, 0, 4, 4], [4, 0, 0, 4, 4, 0, 4, 0, 4, 4, 4, 0, 4, 0, 0, 4, 4, 4, 0, 4], [4, 0, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 4, 4, 4, 0, 4, 4, 4, 4], [0, 0, 4, 4, 0, 4, 0, 0, 0, 4, 4, 0, 0, 4, 4, 0, 0, 4, 0, 0], [4, 0, 4, 0, 0, 4, 4, 0, 4, 4, 4, 0, 0, 4, 4, 4, 4, 0, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 0, 4, 4, 4, 4, 4, 0, 4, 4, 0, 0, 0], [4, 4, 4, 4, 4, 0, 4, 0, 4, 4, 0, 4, 4, 4, 0, 4, 0, 0, 4, 0], [0, 4, 4, 4, 0, 4, 4, 0, 4, 4, 4, 0, 4, 0, 4, 0, 4, 4, 4, 4], [4, 4, 4, 0, 0, 0, 4, 4, 4, 0, 0, 0, 4, 0, 0, 0, 0, 4, 0, 4], [0, 0, 4, 0, 4, 4, 4, 0, 4, 4, 0, 4, 4, 0, 0, 4, 0, 0, 0, 0], [0, 0, 0, 4, 0, 4, 0, 4, 4, 4, 4, 0, 4, 0, 0, 4, 0, 4, 4, 0], [0, 0, 4, 4, 0, 4, 0, 4, 0, 0, 0, 4, 4, 4, 4, 4, 0, 0, 0, 4], [0, 0, 4, 4, 0, 4, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 4, 4, 0], [4, 4, 4, 0, 4, 4, 4, 4, 0, 0, 4, 4, 0, 4, 0, 0, 4, 0, 4, 4], [7, 0, 7, 7, 0, 7, 0, 7, 7, 0, 0, 0, 0, 7, 7, 0, 7, 7, 0, 0], [7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7, 0, 0, 0, 7, 7, 0, 7, 0, 0], [0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 0, 7, 0, 0, 7, 7], [7, 0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0], [7, 0, 7, 7, 0, 0, 7, 0, 7, 7, 7, 7, 7, 0, 0, 0, 0, 7, 7, 0], [0, 0, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 0, 0, 7, 0, 0], [0, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 0, 7, 7, 0, 0, 7, 7, 7], [7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0], [7, 7, 0, 7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 0], [7, 7, 0, 0, 7, 0, 7, 7, 0, 0, 0, 7, 7, 7, 0, 7, 0, 7, 7, 0], [7, 7, 7, 0, 0, 7, 0, 0, 0, 7, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0], [0, 7, 7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 7, 7, 0, 7], [0, 0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 0, 7, 7, 7, 0, 0, 0, 7, 0], [0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 7, 7, 7, 7, 7, 0], [0, 0, 0, 0, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 0], [7, 7, 7, 7, 0, 0, 7, 0, 7, 7, 0, 7, 7, 0, 0, 7, 0, 7, 0, 0], [0, 7, 7, 7, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 7, 7, 0, 7], [0, 7, 7, 7, 0, 7, 7, 0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0], [7, 0, 0, 0, 7, 7, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0, 0], [7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7, 0, 0, 7, 0, 7, 0, 7]] -> ",
+                "test": {
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+                    "output": [
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+                    ]
+                }
+            },
+            "Replicate 3": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 5, 0, 5, 5, 0, 0, 0, 5, 5, 0, 0, 0, 5, 0, 5, 0, 5, 0], [0, 5, 0, 5, 0, 5, 5, 0, 5, 0, 5, 0, 0, 5, 0, 5, 5, 5, 0, 0], [5, 0, 5, 0, 0, 5, 5, 0, 0, 0, 5, 5, 5, 0, 5, 5, 0, 0, 5, 0], [0, 5, 0, 0, 5, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 0, 0, 0, 5, 0], [5, 5, 5, 5, 0, 5, 0, 5, 5, 0, 0, 0, 0, 5, 0, 5, 0, 0, 5, 5], [5, 0, 5, 5, 0, 0, 0, 5, 0, 5, 5, 5, 5, 5, 0, 0, 5, 5, 5, 5], [5, 0, 5, 5, 5, 0, 0, 0, 5, 0, 0, 5, 0, 0, 5, 5, 0, 5, 5, 0], [5, 0, 5, 5, 0, 0, 0, 0, 5, 0, 5, 0, 0, 0, 0, 5, 5, 0, 0, 5], [5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 0, 5, 5, 0, 5, 0, 0], [5, 0, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 0, 0, 5, 5, 5, 5, 0, 0], [0, 5, 0, 0, 0, 5, 5, 0, 0, 0, 5, 0, 5, 0, 5, 0, 0, 0, 0, 0], [5, 0, 0, 5, 0, 0, 5, 5, 5, 0, 5, 0, 0, 5, 5, 5, 0, 5, 0, 5], [5, 0, 5, 0, 0, 0, 0, 5, 0, 5, 0, 0, 0, 5, 5, 5, 5, 0, 5, 5], [0, 5, 0, 5, 0, 5, 5, 0, 5, 0, 5, 5, 5, 0, 5, 0, 0, 5, 5, 5], [0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 0], [5, 0, 0, 5, 5, 5, 0, 5, 5, 0, 5, 5, 5, 5, 0, 5, 5, 0, 0, 5], [0, 0, 5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 0, 5, 5, 5, 5, 5, 0, 5], [0, 0, 5, 0, 0, 5, 0, 0, 0, 5, 0, 5, 5, 0, 0, 5, 0, 0, 0, 0], [5, 5, 5, 0, 0, 0, 0, 0, 5, 5, 0, 5, 5, 5, 0, 0, 0, 0, 0, 5], [5, 5, 0, 0, 5, 5, 0, 0, 5, 0, 5, 0, 0, 5, 5, 5, 0, 5, 0, 0], [0, 7, 0, 0, 0, 7, 7, 0, 7, 7, 7, 7, 0, 7, 0, 0, 7, 0, 7, 0], [7, 0, 7, 0, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7, 0, 7, 7, 0], [0, 7, 7, 7, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 7, 0, 0, 0, 0, 0], [7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 7, 0, 0], [0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 7, 0, 0], [7, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 0, 0, 7, 7, 7, 0, 7, 7, 7], [7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0], [0, 7, 0, 7, 0, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7, 0, 7, 7], [0, 7, 7, 0, 0, 7, 0, 0, 7, 7, 7, 7, 7, 0, 0, 7, 0, 7, 0, 7], [0, 0, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0], [7, 7, 7, 7, 7, 0, 7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 7, 0, 7, 7], [7, 7, 0, 0, 0, 0, 7, 7, 7, 0, 0, 7, 0, 0, 0, 7, 7, 7, 0, 0], [0, 7, 7, 7, 0, 0, 0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 7, 0, 0], [7, 0, 0, 7, 7, 0, 7, 0, 7, 7, 0, 7, 7, 0, 0, 0, 0, 0, 0, 7], [0, 0, 7, 0, 7, 0, 0, 7, 7, 0, 7, 0, 7, 7, 0, 0, 7, 7, 0, 0], [0, 7, 7, 0, 7, 0, 0, 0, 0, 0, 7, 0, 7, 7, 7, 0, 7, 7, 0, 7], [7, 7, 7, 7, 0, 0, 0, 7, 0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 0, 7], [7, 0, 7, 0, 7, 0, 7, 0, 0, 7, 0, 0, 0, 0, 7, 7, 7, 0, 0, 7], [7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 7, 0, 0, 7, 7, 0, 0], [0, 0, 0, 7, 0, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0, 7, 0, 0, 7, 0]] -> [[0, 9, 0, 0, 0, 9, 0, 0, 0, 9, 9, 9, 0, 9, 0, 0, 9, 0, 9, 0], [0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 0], [0, 9, 9, 9, 0, 9, 9, 9, 0, 0, 9, 9, 9, 0, 9, 9, 0, 0, 0, 0], [0, 9, 0, 9, 9, 9, 0, 0, 0, 9, 9, 9, 0, 9, 9, 0, 0, 9, 0, 0], [0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9], [9, 9, 9, 9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 9, 0, 9, 0, 9, 9, 9], [9, 0, 9, 9, 9, 9, 0, 0, 9, 9, 0, 9, 0, 0, 9, 9, 0, 9, 9, 0], [0, 9, 0, 9, 0, 9, 0, 0, 9, 0, 9, 0, 0, 9, 0, 9, 9, 0, 0, 9], [0, 9, 9, 9, 0, 9, 0, 0, 9, 9, 0, 9, 9, 0, 0, 9, 0, 9, 0, 9], [0, 0, 0, 9, 0, 9, 0, 0, 0, 9, 9, 9, 0, 0, 0, 9, 0, 9, 0, 0], [0, 9, 0, 9, 0, 9, 9, 0, 0, 9, 9, 9, 9, 9, 0, 0, 0, 0, 0, 9], [9, 9, 0, 9, 0, 0, 9, 9, 9, 0, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9], [0, 9, 9, 9, 0, 0, 0, 9, 0, 9, 0, 0, 0, 9, 9, 9, 9, 9, 0, 9], [0, 9, 0, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 0, 0, 0, 9, 0, 9], [0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 9, 0, 0, 9, 9, 0, 0], [0, 9, 0, 9, 9, 9, 0, 9, 0, 0, 9, 9, 9, 9, 0, 9, 9, 9, 0, 9], [0, 9, 9, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 9, 0, 9], [0, 0, 9, 0, 0, 9, 0, 0, 0, 9, 0, 9, 0, 0, 0, 9, 0, 0, 0, 9], [9, 9, 0, 0, 0, 0, 0, 0, 0, 9, 0, 9, 9, 9, 0, 0, 0, 9, 0, 9], [0, 9, 0, 9, 0, 9, 0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9, 0, 0]]\nExample input-output arrays:\n[[5, 0, 0, 0, 5, 5, 0, 5, 5, 0, 0, 0, 5, 0, 0, 0, 5, 5, 5, 0], [5, 0, 0, 0, 5, 5, 5, 5, 0, 5, 5, 0, 0, 0, 5, 0, 0, 0, 5, 5], [5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 0, 5, 5, 5, 5, 5, 0], [5, 5, 5, 0, 5, 5, 5, 5, 0, 5, 0, 0, 0, 0, 0, 0, 5, 5, 0, 5], [5, 5, 5, 5, 0, 0, 5, 0, 0, 0, 5, 5, 5, 0, 5, 0, 0, 5, 5, 5], [5, 0, 5, 0, 5, 5, 5, 5, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 0, 5], [0, 5, 5, 5, 5, 0, 5, 0, 0, 5, 0, 5, 0, 5, 5, 0, 0, 5, 0, 0], [0, 0, 5, 5, 0, 5, 0, 0, 5, 5, 0, 0, 5, 5, 5, 0, 5, 5, 0, 0], [5, 5, 5, 5, 0, 0, 5, 0, 5, 0, 0, 5, 0, 0, 5, 5, 5, 5, 0, 5], [0, 0, 5, 5, 5, 0, 0, 5, 0, 5, 5, 5, 0, 5, 5, 5, 5, 5, 5, 5], [5, 0, 0, 5, 0, 5, 0, 0, 0, 0, 5, 0, 5, 0, 0, 0, 0, 0, 5, 5], [0, 5, 5, 5, 0, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 5, 0, 0, 0, 0], [0, 5, 0, 0, 0, 5, 5, 5, 5, 0, 0, 5, 0, 5, 5, 0, 5, 0, 0, 0], [0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 0, 5, 0, 0, 5, 0], [0, 5, 5, 5, 0, 5, 0, 0, 0, 5, 5, 0, 0, 0, 0, 5, 5, 5, 0, 0], [0, 0, 0, 5, 5, 0, 0, 5, 0, 5, 0, 5, 0, 5, 5, 0, 0, 0, 5, 0], [5, 0, 0, 5, 0, 5, 5, 0, 5, 5, 5, 0, 5, 0, 5, 5, 0, 5, 5, 5], [5, 5, 0, 0, 0, 5, 0, 5, 5, 5, 5, 5, 0, 0, 0, 0, 5, 0, 0, 5], [5, 5, 0, 5, 0, 0, 0, 5, 5, 0, 0, 0, 0, 5, 5, 0, 0, 5, 0, 5], [5, 0, 5, 0, 5, 0, 5, 5, 5, 0, 5, 5, 0, 5, 5, 5, 5, 5, 5, 0], [0, 0, 7, 7, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 7], [7, 7, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 7, 7, 7, 0, 7, 0, 0, 7], [0, 0, 7, 0, 0, 7, 0, 7, 0, 0, 7, 0, 7, 7, 7, 7, 0, 0, 0, 7], [7, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 7, 7], [0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7, 7, 0, 7, 7], [0, 0, 7, 7, 0, 0, 7, 0, 0, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 0], [0, 0, 7, 0, 7, 7, 0, 0, 0, 7, 7, 0, 7, 7, 7, 0, 7, 0, 7, 0], [0, 7, 7, 7, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 7, 7, 7, 7, 0], [0, 0, 0, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 7, 0, 0, 0], [7, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 7, 7, 7, 0, 7, 0, 7], [7, 0, 0, 0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 7, 7, 0, 7, 0, 7, 0], [0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 7, 7, 7, 7, 0, 0, 7, 7], [0, 7, 0, 0, 7, 7, 0, 7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 7], [7, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 0, 7, 7, 7, 7, 0, 0, 7, 7], [7, 7, 0, 0, 7, 7, 7, 7, 7, 0, 0, 7, 0, 7, 7, 7, 0, 0, 0, 7], [7, 0, 0, 7, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7, 0, 0], [0, 0, 0, 0, 7, 0, 7, 7, 0, 7, 0, 7, 7, 7, 0, 7, 0, 0, 0, 7], [7, 7, 0, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 7, 7, 7, 0, 0], [0, 7, 7, 7, 7, 0, 7, 7, 0, 0, 7, 7, 7, 0, 7, 7, 0, 0, 7, 7], [0, 7, 7, 0, 7, 0, 7, 0, 7, 7, 0, 7, 0, 0, 7, 0, 7, 7, 7, 0]] -> [[0, 0, 0, 9, 0, 9, 0, 9, 0, 0, 0, 0, 9, 9, 0, 9, 0, 9, 0, 9], [9, 9, 0, 9, 9, 9, 9, 9, 0, 9, 0, 9, 0, 9, 9, 0, 0, 0, 0, 9], [0, 0, 0, 0, 0, 9, 0, 9, 0, 0, 9, 0, 0, 9, 9, 9, 0, 9, 0, 9], [9, 9, 9, 0, 0, 9, 0, 9, 0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9], [0, 9, 9, 9, 0, 0, 0, 0, 0, 0, 9, 9, 0, 9, 0, 9, 0, 9, 9, 9], [0, 0, 9, 9, 0, 9, 9, 9, 0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9], [0, 9, 9, 9, 9, 9, 0, 0, 0, 9, 0, 9, 0, 9, 9, 0, 0, 9, 0, 0], [0, 9, 9, 9, 0, 9, 0, 0, 9, 9, 0, 0, 0, 9, 0, 9, 9, 9, 0, 0], [0, 9, 0, 9, 0, 9, 9, 0, 9, 9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 9], [0, 9, 9, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 9, 0, 9], [9, 0, 0, 9, 0, 9, 0, 0, 0, 0, 9, 9, 0, 9, 0, 0, 0, 0, 9, 9], [0, 9, 0, 9, 0, 9, 0, 0, 0, 9, 9, 0, 9, 9, 9, 9, 0, 0, 0, 9], [0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 9, 0, 9, 0, 0, 9], [0, 0, 0, 9, 0, 9, 0, 0, 9, 9, 0, 9, 0, 9, 0, 9, 0, 0, 9, 9], [0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9], [0, 0, 0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 9, 0, 0], [0, 0, 0, 9, 0, 9, 9, 9, 0, 9, 0, 9, 9, 9, 0, 9, 0, 9, 0, 9], [9, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9, 0, 0, 0, 9, 9, 9, 0, 9], [0, 9, 0, 9, 0, 0, 0, 9, 0, 0, 0, 9, 0, 9, 9, 9, 0, 9, 0, 9], [0, 9, 9, 0, 9, 0, 9, 9, 9, 9, 0, 9, 0, 9, 9, 9, 9, 9, 9, 0]]\nExample input-output arrays:\n[[5, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 5, 5, 5, 0, 0, 0, 0, 5, 0], [0, 0, 0, 0, 0, 0, 5, 0, 5, 0, 0, 5, 5, 5, 0, 5, 5, 5, 0, 0], [5, 0, 0, 5, 0, 0, 0, 5, 0, 5, 5, 5, 5, 5, 5, 0, 5, 5, 0, 5], [5, 0, 0, 0, 0, 5, 5, 0, 5, 0, 5, 5, 0, 0, 5, 0, 5, 5, 5, 5], [0, 0, 5, 0, 5, 0, 0, 5, 5, 5, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0], [5, 5, 5, 0, 0, 0, 5, 0, 5, 5, 5, 0, 5, 5, 0, 0, 5, 5, 0, 5], [0, 0, 5, 5, 0, 0, 0, 5, 5, 5, 0, 5, 0, 5, 0, 0, 5, 0, 5, 5], [0, 0, 0, 0, 5, 5, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0], [5, 0, 0, 0, 5, 0, 5, 5, 0, 5, 0, 0, 0, 5, 0, 5, 5, 5, 5, 5], [0, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 5, 5, 5, 5, 5, 5, 0, 5, 5], [5, 5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 5, 0, 0, 5, 0, 0, 5, 5], [0, 0, 0, 0, 0, 5, 0, 0, 0, 5, 0, 5, 5, 5, 5, 0, 5, 0, 0, 0], [5, 0, 0, 0, 0, 5, 5, 5, 5, 0, 5, 0, 5, 0, 5, 5, 0, 0, 5, 5], [0, 5, 5, 5, 0, 0, 0, 0, 5, 0, 5, 0, 5, 5, 5, 0, 5, 5, 0, 0], [5, 0, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 5, 5, 5, 0, 5, 5, 5, 0], [0, 0, 0, 5, 5, 5, 5, 0, 5, 0, 5, 5, 5, 0, 5, 0, 5, 0, 0, 5], [0, 5, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 5, 0, 0, 5, 0, 0, 5, 5], [5, 0, 5, 0, 0, 5, 5, 5, 5, 0, 5, 5, 5, 0, 5, 5, 0, 0, 0, 5], [0, 0, 5, 5, 0, 5, 5, 5, 5, 0, 0, 0, 5, 0, 5, 5, 0, 0, 0, 0], [0, 0, 0, 5, 0, 0, 5, 0, 0, 5, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5], [0, 7, 7, 7, 7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 0, 7, 0, 7, 7], [0, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 0, 7, 7], [0, 7, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7, 7, 7, 7, 0, 0, 7, 7, 7], [7, 7, 0, 7, 0, 7, 0, 0, 7, 7, 0, 0, 7, 7, 0, 7, 7, 7, 7, 7], [0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 7, 7, 7, 7, 7], [7, 0, 0, 7, 0, 7, 7, 0, 0, 7, 0, 7, 0, 0, 7, 7, 7, 7, 7, 7], [0, 0, 7, 7, 0, 0, 7, 7, 7, 7, 0, 0, 7, 0, 7, 0, 7, 7, 7, 7], [0, 0, 7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 0, 0, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 7, 7, 0, 7, 7], [7, 0, 7, 0, 0, 0, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 0, 0, 7, 0], [0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7], [0, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 7, 0, 7, 0, 0, 7], [0, 7, 7, 7, 7, 0, 0, 7, 7, 7, 0, 7, 7, 0, 0, 0, 0, 0, 7, 0], [7, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 7, 7, 7], [7, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0], [7, 0, 0, 0, 7, 7, 0, 0, 0, 7, 0, 0, 7, 7, 0, 7, 7, 7, 0, 7], [7, 0, 0, 0, 0, 7, 7, 7, 0, 0, 7, 0, 7, 7, 0, 7, 0, 0, 0, 7], [7, 7, 7, 0, 0, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 0, 0, 0, 0, 0], [7, 0, 7, 0, 7, 7, 0, 0, 7, 7, 0, 7, 0, 0, 7, 7, 7, 0, 0, 7], [0, 0, 7, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 7, 7]] -> [[0, 9, 9, 9, 0, 0, 0, 9, 9, 0, 0, 9, 9, 9, 0, 0, 0, 0, 9, 9], [0, 9, 0, 0, 0, 0, 9, 0, 9, 9, 0, 9, 9, 9, 0, 9, 0, 9, 0, 9], [0, 9, 0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 9, 9, 9, 0, 0, 9, 0, 9], [9, 9, 0, 9, 0, 9, 0, 0, 9, 9, 0, 9, 0, 9, 0, 9, 9, 9, 9, 9], [0, 9, 0, 0, 9, 0, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9], [9, 9, 0, 9, 0, 9, 9, 0, 0, 9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 9], [0, 0, 9, 9, 0, 0, 0, 9, 9, 9, 0, 9, 0, 9, 0, 0, 9, 9, 9, 9], [0, 0, 0, 0, 9, 9, 0, 9, 0, 0, 0, 9, 0, 0, 0, 9, 9, 9, 0, 9], [9, 9, 0, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0, 9, 0, 9, 9, 9, 9, 9], [0, 9, 9, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 0, 9, 9], [0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9, 9, 0, 0, 9, 0, 0, 0, 9], [0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 9, 0, 9, 0, 0, 9], [0, 9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 9, 9, 0, 0, 9, 0, 0, 9, 9], [0, 9, 0, 9, 0, 0, 0, 9, 0, 0, 0, 9, 0, 9, 0, 0, 0, 9, 0, 9], [9, 0, 0, 9, 0, 9, 0, 0, 9, 9, 0, 0, 0, 9, 9, 9, 9, 9, 0, 0], [0, 0, 0, 9, 9, 9, 0, 0, 0, 9, 0, 9, 9, 9, 0, 9, 9, 9, 0, 9], [0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0, 9], [9, 9, 9, 0, 0, 9, 9, 9, 9, 9, 9, 9, 0, 9, 9, 9, 0, 0, 0, 9], [0, 0, 9, 9, 0, 9, 0, 9, 9, 9, 0, 9, 0, 0, 9, 9, 0, 0, 0, 9], [0, 0, 0, 9, 0, 9, 9, 0, 0, 9, 0, 0, 0, 0, 9, 9, 9, 0, 9, 9]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[8, 0, 8, 0, 0, 0, 0, 0, 8, 0, 0, 8, 8, 8, 0, 0, 0, 0, 8, 0], [0, 0, 0, 0, 0, 0, 8, 0, 8, 0, 0, 8, 8, 8, 0, 8, 8, 8, 0, 0], [8, 0, 0, 8, 0, 0, 0, 8, 0, 8, 8, 8, 8, 8, 8, 0, 8, 8, 0, 8], [8, 0, 0, 0, 0, 8, 8, 0, 8, 0, 8, 8, 0, 0, 8, 0, 8, 8, 8, 8], [0, 0, 8, 0, 8, 0, 0, 8, 8, 8, 0, 8, 8, 8, 0, 0, 0, 0, 0, 0], [8, 8, 8, 0, 0, 0, 8, 0, 8, 8, 8, 0, 8, 8, 0, 0, 8, 8, 0, 8], [0, 0, 8, 8, 0, 0, 0, 8, 8, 8, 0, 8, 0, 8, 0, 0, 8, 0, 8, 8], [0, 0, 0, 0, 8, 8, 0, 8, 0, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0], [8, 0, 0, 0, 8, 0, 8, 8, 0, 8, 0, 0, 0, 8, 0, 8, 8, 8, 8, 8], [0, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 8, 8, 0, 8, 8], [8, 8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 8, 8, 0, 0, 8, 0, 0, 8, 8], [0, 0, 0, 0, 0, 8, 0, 0, 0, 8, 0, 8, 8, 8, 8, 0, 8, 0, 0, 0], [8, 0, 0, 0, 0, 8, 8, 8, 8, 0, 8, 0, 8, 0, 8, 8, 0, 0, 8, 8], [0, 8, 8, 8, 0, 0, 0, 0, 8, 0, 8, 0, 8, 8, 8, 0, 8, 8, 0, 0], [8, 0, 0, 8, 0, 8, 0, 0, 8, 0, 8, 0, 8, 8, 8, 0, 8, 8, 8, 0], [0, 0, 0, 8, 8, 8, 8, 0, 8, 0, 8, 8, 8, 0, 8, 0, 8, 0, 0, 8], [0, 8, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 0, 0, 8, 0, 0, 8, 8], [8, 0, 8, 0, 0, 8, 8, 8, 8, 0, 8, 8, 8, 0, 8, 8, 0, 0, 0, 8], [0, 0, 8, 8, 0, 8, 8, 8, 8, 0, 0, 0, 8, 0, 8, 8, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 8, 0, 0, 8, 0, 0, 0, 0, 8, 8, 8, 0, 8, 8], [0, 7, 7, 7, 7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 0, 7, 0, 7, 7], [0, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 0, 7, 7], [0, 7, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7, 7, 7, 7, 0, 0, 7, 7, 7], [7, 7, 0, 7, 0, 7, 0, 0, 7, 7, 0, 0, 7, 7, 0, 7, 7, 7, 7, 7], [0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 7, 7, 7, 7, 7], [7, 0, 0, 7, 0, 7, 7, 0, 0, 7, 0, 7, 0, 0, 7, 7, 7, 7, 7, 7], [0, 0, 7, 7, 0, 0, 7, 7, 7, 7, 0, 0, 7, 0, 7, 0, 7, 7, 7, 7], [0, 0, 7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 0, 0, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 7, 7, 0, 7, 7], [7, 0, 7, 0, 0, 0, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 0, 0, 7, 0], [0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7], [0, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 7, 0, 7, 0, 0, 7], [0, 7, 7, 7, 7, 0, 0, 7, 7, 7, 0, 7, 7, 0, 0, 0, 0, 0, 7, 0], [7, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 7, 7, 7], [7, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0], [7, 0, 0, 0, 7, 7, 0, 0, 0, 7, 0, 0, 7, 7, 0, 7, 7, 7, 0, 7], [7, 0, 0, 0, 0, 7, 7, 7, 0, 0, 7, 0, 7, 7, 0, 7, 0, 0, 0, 7], [7, 7, 7, 0, 0, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 0, 0, 0, 0, 0], [7, 0, 7, 0, 7, 7, 0, 0, 7, 7, 0, 7, 0, 0, 7, 7, 7, 0, 0, 7], [0, 0, 7, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 7, 7]] -> ",
+                "test": {
+                    "input": [
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+                        ]
+                    ],
+                    "output": [
+                        [
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+                }
+            },
+            "Replicate 4": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 5, 5, 5, 5, 0, 0, 0, 5, 5, 5, 0, 5, 0, 0, 0], [5, 5, 5, 0, 5, 5, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 5], [0, 5, 5, 5, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0], [0, 0, 5, 0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 0, 0, 0, 0, 5, 5, 5], [0, 0, 5, 0, 0, 0, 0, 5, 5, 5, 0, 5, 0, 0, 5, 0, 5, 0, 0, 5], [0, 0, 5, 5, 0, 0, 5, 0, 0, 5, 0, 0, 5, 0, 5, 0, 5, 0, 5, 5], [5, 0, 5, 5, 0, 0, 5, 5, 0, 0, 5, 0, 5, 5, 0, 0, 5, 0, 5, 5], [5, 0, 0, 5, 5, 0, 5, 0, 5, 5, 5, 0, 5, 0, 0, 5, 5, 5, 0, 5], [5, 0, 5, 5, 5, 5, 5, 0, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 5], [0, 0, 5, 5, 0, 5, 0, 0, 0, 5, 5, 0, 0, 5, 5, 0, 0, 5, 0, 0], [5, 0, 5, 0, 0, 5, 5, 0, 5, 5, 5, 0, 0, 5, 5, 5, 5, 0, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 0, 5, 5, 5, 5, 5, 0, 5, 5, 0, 0, 0], [5, 5, 5, 5, 5, 0, 5, 0, 5, 5, 0, 5, 5, 5, 0, 5, 0, 0, 5, 0], [0, 5, 5, 5, 0, 5, 5, 0, 5, 5, 5, 0, 5, 0, 5, 0, 5, 5, 5, 5], [5, 5, 5, 0, 0, 0, 5, 5, 5, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 5], [0, 0, 5, 0, 5, 5, 5, 0, 5, 5, 0, 5, 5, 0, 0, 5, 0, 0, 0, 0], [0, 0, 0, 5, 0, 5, 0, 5, 5, 5, 5, 0, 5, 0, 0, 5, 0, 5, 5, 0], [0, 0, 5, 5, 0, 5, 0, 5, 0, 0, 0, 5, 5, 5, 5, 5, 0, 0, 0, 5], [0, 0, 5, 5, 0, 5, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 5, 5, 0], [5, 5, 5, 0, 5, 5, 5, 5, 0, 0, 5, 5, 0, 5, 0, 0, 5, 0, 5, 5], [7, 0, 7, 7, 0, 7, 0, 7, 7, 0, 0, 0, 0, 7, 7, 0, 7, 7, 0, 0], [7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7, 0, 0, 0, 7, 7, 0, 7, 0, 0], [0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 0, 7, 0, 0, 7, 7], [7, 0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0], [7, 0, 7, 7, 0, 0, 7, 0, 7, 7, 7, 7, 7, 0, 0, 0, 0, 7, 7, 0], [0, 0, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 0, 0, 7, 0, 0], [0, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 0, 7, 7, 0, 0, 7, 7, 7], [7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0], [7, 7, 0, 7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 0], [7, 7, 0, 0, 7, 0, 7, 7, 0, 0, 0, 7, 7, 7, 0, 7, 0, 7, 7, 0], [7, 7, 7, 0, 0, 7, 0, 0, 0, 7, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0], [0, 7, 7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 7, 7, 0, 7], [0, 0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 0, 7, 7, 7, 0, 0, 0, 7, 0], [0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 7, 7, 7, 7, 7, 0], [0, 0, 0, 0, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 0], [7, 7, 7, 7, 0, 0, 7, 0, 7, 7, 0, 7, 7, 0, 0, 7, 0, 7, 0, 0], [0, 7, 7, 7, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 7, 7, 0, 7], [0, 7, 7, 7, 0, 7, 7, 0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0], [7, 0, 0, 0, 7, 7, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0, 0], [7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7, 0, 0, 7, 0, 7, 0, 7]] -> [[0, 0, 0, 9, 0, 9, 0, 9, 9, 0, 0, 0, 0, 9, 9, 0, 9, 9, 0, 0], [9, 9, 9, 0, 9, 9, 0, 0, 0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9], [0, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9], [0, 0, 9, 9, 0, 0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 0, 0, 9, 9, 9], [0, 0, 9, 9, 0, 0, 0, 9, 9, 9, 0, 9, 0, 0, 0, 0, 0, 9, 0, 9], [0, 0, 9, 9, 0, 9, 0, 9, 0, 9, 0, 9, 9, 0, 0, 0, 0, 9, 0, 9], [0, 0, 9, 9, 0, 0, 9, 9, 0, 0, 9, 0, 0, 9, 0, 0, 0, 9, 9, 9], [9, 0, 0, 9, 9, 0, 0, 0, 0, 9, 9, 9, 0, 0, 0, 9, 0, 9, 0, 9], [9, 9, 0, 9, 0, 9, 9, 9, 0, 9, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9], [0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 0], [9, 9, 9, 0, 0, 9, 0, 0, 0, 9, 9, 9, 0, 9, 9, 9, 0, 0, 0, 9], [0, 9, 9, 9, 9, 9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 9, 9, 9, 0, 9], [0, 9, 9, 9, 9, 0, 0, 9, 0, 9, 0, 9, 9, 9, 0, 9, 0, 0, 9, 0], [0, 9, 0, 9, 0, 9, 9, 0, 0, 9, 0, 9, 0, 0, 9, 9, 9, 9, 9, 9], [0, 9, 0, 0, 0, 9, 9, 9, 0, 9, 0, 9, 9, 9, 0, 0, 0, 9, 0, 9], [0, 9, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 0, 9, 0, 9, 0, 0], [0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 9, 0, 0, 0, 0, 9, 0, 9, 0, 9], [0, 9, 9, 9, 0, 9, 0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9], [0, 0, 0, 9, 0, 9, 0, 9, 9, 9, 9, 9, 0, 9, 0, 9, 0, 9, 0, 0], [9, 9, 9, 9, 9, 9, 9, 9, 0, 9, 9, 9, 0, 9, 0, 9, 0, 9, 0, 9]]\nExample input-output arrays:\n[[0, 0, 5, 0, 5, 5, 0, 0, 0, 5, 5, 0, 0, 0, 5, 0, 5, 0, 5, 0], [0, 5, 0, 5, 0, 5, 5, 0, 5, 0, 5, 0, 0, 5, 0, 5, 5, 5, 0, 0], [5, 0, 5, 0, 0, 5, 5, 0, 0, 0, 5, 5, 5, 0, 5, 5, 0, 0, 5, 0], [0, 5, 0, 0, 5, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 0, 0, 0, 5, 0], [5, 5, 5, 5, 0, 5, 0, 5, 5, 0, 0, 0, 0, 5, 0, 5, 0, 0, 5, 5], [5, 0, 5, 5, 0, 0, 0, 5, 0, 5, 5, 5, 5, 5, 0, 0, 5, 5, 5, 5], [5, 0, 5, 5, 5, 0, 0, 0, 5, 0, 0, 5, 0, 0, 5, 5, 0, 5, 5, 0], [5, 0, 5, 5, 0, 0, 0, 0, 5, 0, 5, 0, 0, 0, 0, 5, 5, 0, 0, 5], [5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 0, 5, 5, 0, 5, 0, 0], [5, 0, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 0, 0, 5, 5, 5, 5, 0, 0], [0, 5, 0, 0, 0, 5, 5, 0, 0, 0, 5, 0, 5, 0, 5, 0, 0, 0, 0, 0], [5, 0, 0, 5, 0, 0, 5, 5, 5, 0, 5, 0, 0, 5, 5, 5, 0, 5, 0, 5], [5, 0, 5, 0, 0, 0, 0, 5, 0, 5, 0, 0, 0, 5, 5, 5, 5, 0, 5, 5], [0, 5, 0, 5, 0, 5, 5, 0, 5, 0, 5, 5, 5, 0, 5, 0, 0, 5, 5, 5], [0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 0], [5, 0, 0, 5, 5, 5, 0, 5, 5, 0, 5, 5, 5, 5, 0, 5, 5, 0, 0, 5], [0, 0, 5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 0, 5, 5, 5, 5, 5, 0, 5], [0, 0, 5, 0, 0, 5, 0, 0, 0, 5, 0, 5, 5, 0, 0, 5, 0, 0, 0, 0], [5, 5, 5, 0, 0, 0, 0, 0, 5, 5, 0, 5, 5, 5, 0, 0, 0, 0, 0, 5], [5, 5, 0, 0, 5, 5, 0, 0, 5, 0, 5, 0, 0, 5, 5, 5, 0, 5, 0, 0], [0, 7, 0, 0, 0, 7, 7, 0, 7, 7, 7, 7, 0, 7, 0, 0, 7, 0, 7, 0], [7, 0, 7, 0, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7, 0, 7, 7, 0], [0, 7, 7, 7, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 7, 0, 0, 0, 0, 0], [7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 7, 0, 0], [0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 7, 0, 0], [7, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 0, 0, 7, 7, 7, 0, 7, 7, 7], [7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0], [0, 7, 0, 7, 0, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7, 0, 7, 7], [0, 7, 7, 0, 0, 7, 0, 0, 7, 7, 7, 7, 7, 0, 0, 7, 0, 7, 0, 7], [0, 0, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0], [7, 7, 7, 7, 7, 0, 7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 7, 0, 7, 7], [7, 7, 0, 0, 0, 0, 7, 7, 7, 0, 0, 7, 0, 0, 0, 7, 7, 7, 0, 0], [0, 7, 7, 7, 0, 0, 0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 7, 0, 0], [7, 0, 0, 7, 7, 0, 7, 0, 7, 7, 0, 7, 7, 0, 0, 0, 0, 0, 0, 7], [0, 0, 7, 0, 7, 0, 0, 7, 7, 0, 7, 0, 7, 7, 0, 0, 7, 7, 0, 0], [0, 7, 7, 0, 7, 0, 0, 0, 0, 0, 7, 0, 7, 7, 7, 0, 7, 7, 0, 7], [7, 7, 7, 7, 0, 0, 0, 7, 0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 0, 7], [7, 0, 7, 0, 7, 0, 7, 0, 0, 7, 0, 0, 0, 0, 7, 7, 7, 0, 0, 7], [7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 7, 0, 0, 7, 7, 0, 0], [0, 0, 0, 7, 0, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0, 7, 0, 0, 7, 0]] -> [[0, 9, 0, 0, 0, 9, 0, 0, 0, 9, 9, 9, 0, 9, 0, 0, 9, 0, 9, 0], [0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 0], [0, 9, 9, 9, 0, 9, 9, 9, 0, 0, 9, 9, 9, 0, 9, 9, 0, 0, 0, 0], [0, 9, 0, 9, 9, 9, 0, 0, 0, 9, 9, 9, 0, 9, 9, 0, 0, 9, 0, 0], [0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9], [9, 9, 9, 9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 9, 0, 9, 0, 9, 9, 9], [9, 0, 9, 9, 9, 9, 0, 0, 9, 9, 0, 9, 0, 0, 9, 9, 0, 9, 9, 0], [0, 9, 0, 9, 0, 9, 0, 0, 9, 0, 9, 0, 0, 9, 0, 9, 9, 0, 0, 9], [0, 9, 9, 9, 0, 9, 0, 0, 9, 9, 0, 9, 9, 0, 0, 9, 0, 9, 0, 9], [0, 0, 0, 9, 0, 9, 0, 0, 0, 9, 9, 9, 0, 0, 0, 9, 0, 9, 0, 0], [0, 9, 0, 9, 0, 9, 9, 0, 0, 9, 9, 9, 9, 9, 0, 0, 0, 0, 0, 9], [9, 9, 0, 9, 0, 0, 9, 9, 9, 0, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9], [0, 9, 9, 9, 0, 0, 0, 9, 0, 9, 0, 0, 0, 9, 9, 9, 9, 9, 0, 9], [0, 9, 0, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 0, 0, 0, 9, 0, 9], [0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 9, 0, 0, 9, 9, 0, 0], [0, 9, 0, 9, 9, 9, 0, 9, 0, 0, 9, 9, 9, 9, 0, 9, 9, 9, 0, 9], [0, 9, 9, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 9, 0, 9], [0, 0, 9, 0, 0, 9, 0, 0, 0, 9, 0, 9, 0, 0, 0, 9, 0, 0, 0, 9], [9, 9, 0, 0, 0, 0, 0, 0, 0, 9, 0, 9, 9, 9, 0, 0, 0, 9, 0, 9], [0, 9, 0, 9, 0, 9, 0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9, 0, 0]]\nExample input-output arrays:\n[[5, 0, 0, 0, 5, 5, 0, 5, 5, 0, 0, 0, 5, 0, 0, 0, 5, 5, 5, 0], [5, 0, 0, 0, 5, 5, 5, 5, 0, 5, 5, 0, 0, 0, 5, 0, 0, 0, 5, 5], [5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 0, 5, 5, 5, 5, 5, 0], [5, 5, 5, 0, 5, 5, 5, 5, 0, 5, 0, 0, 0, 0, 0, 0, 5, 5, 0, 5], [5, 5, 5, 5, 0, 0, 5, 0, 0, 0, 5, 5, 5, 0, 5, 0, 0, 5, 5, 5], [5, 0, 5, 0, 5, 5, 5, 5, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 0, 5], [0, 5, 5, 5, 5, 0, 5, 0, 0, 5, 0, 5, 0, 5, 5, 0, 0, 5, 0, 0], [0, 0, 5, 5, 0, 5, 0, 0, 5, 5, 0, 0, 5, 5, 5, 0, 5, 5, 0, 0], [5, 5, 5, 5, 0, 0, 5, 0, 5, 0, 0, 5, 0, 0, 5, 5, 5, 5, 0, 5], [0, 0, 5, 5, 5, 0, 0, 5, 0, 5, 5, 5, 0, 5, 5, 5, 5, 5, 5, 5], [5, 0, 0, 5, 0, 5, 0, 0, 0, 0, 5, 0, 5, 0, 0, 0, 0, 0, 5, 5], [0, 5, 5, 5, 0, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 5, 0, 0, 0, 0], [0, 5, 0, 0, 0, 5, 5, 5, 5, 0, 0, 5, 0, 5, 5, 0, 5, 0, 0, 0], [0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 0, 5, 0, 0, 5, 0], [0, 5, 5, 5, 0, 5, 0, 0, 0, 5, 5, 0, 0, 0, 0, 5, 5, 5, 0, 0], [0, 0, 0, 5, 5, 0, 0, 5, 0, 5, 0, 5, 0, 5, 5, 0, 0, 0, 5, 0], [5, 0, 0, 5, 0, 5, 5, 0, 5, 5, 5, 0, 5, 0, 5, 5, 0, 5, 5, 5], [5, 5, 0, 0, 0, 5, 0, 5, 5, 5, 5, 5, 0, 0, 0, 0, 5, 0, 0, 5], [5, 5, 0, 5, 0, 0, 0, 5, 5, 0, 0, 0, 0, 5, 5, 0, 0, 5, 0, 5], [5, 0, 5, 0, 5, 0, 5, 5, 5, 0, 5, 5, 0, 5, 5, 5, 5, 5, 5, 0], [0, 0, 7, 7, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 7], [7, 7, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 7, 7, 7, 0, 7, 0, 0, 7], [0, 0, 7, 0, 0, 7, 0, 7, 0, 0, 7, 0, 7, 7, 7, 7, 0, 0, 0, 7], [7, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 7, 7], [0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7, 7, 0, 7, 7], [0, 0, 7, 7, 0, 0, 7, 0, 0, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 0], [0, 0, 7, 0, 7, 7, 0, 0, 0, 7, 7, 0, 7, 7, 7, 0, 7, 0, 7, 0], [0, 7, 7, 7, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 7, 7, 7, 7, 0], [0, 0, 0, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 7, 0, 0, 0], [7, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 7, 7, 7, 0, 7, 0, 7], [7, 0, 0, 0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 7, 7, 0, 7, 0, 7, 0], [0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 7, 7, 7, 7, 0, 0, 7, 7], [0, 7, 0, 0, 7, 7, 0, 7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 7], [7, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 0, 7, 7, 7, 7, 0, 0, 7, 7], [7, 7, 0, 0, 7, 7, 7, 7, 7, 0, 0, 7, 0, 7, 7, 7, 0, 0, 0, 7], [7, 0, 0, 7, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7, 0, 0], [0, 0, 0, 0, 7, 0, 7, 7, 0, 7, 0, 7, 7, 7, 0, 7, 0, 0, 0, 7], [7, 7, 0, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 7, 7, 7, 0, 0], [0, 7, 7, 7, 7, 0, 7, 7, 0, 0, 7, 7, 7, 0, 7, 7, 0, 0, 7, 7], [0, 7, 7, 0, 7, 0, 7, 0, 7, 7, 0, 7, 0, 0, 7, 0, 7, 7, 7, 0]] -> [[0, 0, 0, 9, 0, 9, 0, 9, 0, 0, 0, 0, 9, 9, 0, 9, 0, 9, 0, 9], [9, 9, 0, 9, 9, 9, 9, 9, 0, 9, 0, 9, 0, 9, 9, 0, 0, 0, 0, 9], [0, 0, 0, 0, 0, 9, 0, 9, 0, 0, 9, 0, 0, 9, 9, 9, 0, 9, 0, 9], [9, 9, 9, 0, 0, 9, 0, 9, 0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9], [0, 9, 9, 9, 0, 0, 0, 0, 0, 0, 9, 9, 0, 9, 0, 9, 0, 9, 9, 9], [0, 0, 9, 9, 0, 9, 9, 9, 0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9], [0, 9, 9, 9, 9, 9, 0, 0, 0, 9, 0, 9, 0, 9, 9, 0, 0, 9, 0, 0], [0, 9, 9, 9, 0, 9, 0, 0, 9, 9, 0, 0, 0, 9, 0, 9, 9, 9, 0, 0], [0, 9, 0, 9, 0, 9, 9, 0, 9, 9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 9], [0, 9, 9, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 9, 0, 9], [9, 0, 0, 9, 0, 9, 0, 0, 0, 0, 9, 9, 0, 9, 0, 0, 0, 0, 9, 9], [0, 9, 0, 9, 0, 9, 0, 0, 0, 9, 9, 0, 9, 9, 9, 9, 0, 0, 0, 9], [0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 9, 0, 9, 0, 0, 9], [0, 0, 0, 9, 0, 9, 0, 0, 9, 9, 0, 9, 0, 9, 0, 9, 0, 0, 9, 9], [0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9], [0, 0, 0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 9, 0, 0], [0, 0, 0, 9, 0, 9, 9, 9, 0, 9, 0, 9, 9, 9, 0, 9, 0, 9, 0, 9], [9, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9, 0, 0, 0, 9, 9, 9, 0, 9], [0, 9, 0, 9, 0, 0, 0, 9, 0, 0, 0, 9, 0, 9, 9, 9, 0, 9, 0, 9], [0, 9, 9, 0, 9, 0, 9, 9, 9, 9, 0, 9, 0, 9, 9, 9, 9, 9, 9, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0], [1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1], [1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0], [1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1], [1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1], [1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1], [0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0], [0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0], [1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1], [0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1], [1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1], [0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0], [0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0], [0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0], [0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0], [0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0], [1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1], [1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1], [1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1], [1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0], [0, 0, 7, 7, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 7], [7, 7, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 7, 7, 7, 0, 7, 0, 0, 7], [0, 0, 7, 0, 0, 7, 0, 7, 0, 0, 7, 0, 7, 7, 7, 7, 0, 0, 0, 7], [7, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 7, 7], [0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7, 7, 0, 7, 7], [0, 0, 7, 7, 0, 0, 7, 0, 0, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 0], [0, 0, 7, 0, 7, 7, 0, 0, 0, 7, 7, 0, 7, 7, 7, 0, 7, 0, 7, 0], [0, 7, 7, 7, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 7, 7, 7, 7, 0], [0, 0, 0, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 7, 0, 0, 0], [7, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 7, 7, 7, 0, 7, 0, 7], [7, 0, 0, 0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 7, 7, 0, 7, 0, 7, 0], [0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 7, 7, 7, 7, 0, 0, 7, 7], [0, 7, 0, 0, 7, 7, 0, 7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 7], [7, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 0, 7, 7, 7, 7, 0, 0, 7, 7], [7, 7, 0, 0, 7, 7, 7, 7, 7, 0, 0, 7, 0, 7, 7, 7, 0, 0, 0, 7], [7, 0, 0, 7, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7, 0, 0], [0, 0, 0, 0, 7, 0, 7, 7, 0, 7, 0, 7, 7, 7, 0, 7, 0, 0, 0, 7], [7, 7, 0, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 7, 7, 7, 0, 0], [0, 7, 7, 7, 7, 0, 7, 7, 0, 0, 7, 7, 7, 0, 7, 7, 0, 0, 7, 7], [0, 7, 7, 0, 7, 0, 7, 0, 7, 7, 0, 7, 0, 0, 7, 0, 7, 7, 7, 0]] -> ",
+                "test": {
+                    "input": [
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+                }
+            }
+        },
+        "L3": {
+            "Replicate 0": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 5, 5, 5, 5, 0, 0, 0, 5, 5, 5, 0, 5, 0, 0, 0], [5, 5, 5, 0, 5, 5, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 5], [0, 5, 5, 5, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0], [0, 0, 5, 0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 0, 0, 0, 0, 5, 5, 5], [0, 0, 5, 0, 0, 0, 0, 5, 5, 5, 0, 5, 0, 0, 5, 0, 5, 0, 0, 5], [0, 0, 5, 5, 0, 0, 5, 0, 0, 5, 0, 0, 5, 0, 5, 0, 5, 0, 5, 5], [5, 0, 5, 5, 0, 0, 5, 5, 0, 0, 5, 0, 5, 5, 0, 0, 5, 0, 5, 5], [5, 0, 0, 5, 5, 0, 5, 0, 5, 5, 5, 0, 5, 0, 0, 5, 5, 5, 0, 5], [5, 0, 5, 5, 5, 5, 5, 0, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 5], [0, 0, 5, 5, 0, 5, 0, 0, 0, 5, 5, 0, 0, 5, 5, 0, 0, 5, 0, 0], [5, 0, 5, 0, 0, 5, 5, 0, 5, 5, 5, 0, 0, 5, 5, 5, 5, 0, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 0, 5, 5, 5, 5, 5, 0, 5, 5, 0, 0, 0], [5, 5, 5, 5, 5, 0, 5, 0, 5, 5, 0, 5, 5, 5, 0, 5, 0, 0, 5, 0], [0, 5, 5, 5, 0, 5, 5, 0, 5, 5, 5, 0, 5, 0, 5, 0, 5, 5, 5, 5], [5, 5, 5, 0, 0, 0, 5, 5, 5, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 5], [0, 0, 5, 0, 5, 5, 5, 0, 5, 5, 0, 5, 5, 0, 0, 5, 0, 0, 0, 0], [0, 0, 0, 5, 0, 5, 0, 5, 5, 5, 5, 0, 5, 0, 0, 5, 0, 5, 5, 0], [0, 0, 5, 5, 0, 5, 0, 5, 0, 0, 0, 5, 5, 5, 5, 5, 0, 0, 0, 5], [0, 0, 5, 5, 0, 5, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 5, 5, 0], [5, 5, 5, 0, 5, 5, 5, 5, 0, 0, 5, 5, 0, 5, 0, 0, 5, 0, 5, 5], [7, 0, 7, 7, 0, 7, 0, 7, 7, 0, 0, 0, 0, 7, 7, 0, 7, 7, 0, 0], [7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7, 0, 0, 0, 7, 7, 0, 7, 0, 0], [0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 0, 7, 0, 0, 7, 7], [7, 0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0], [7, 0, 7, 7, 0, 0, 7, 0, 7, 7, 7, 7, 7, 0, 0, 0, 0, 7, 7, 0], [0, 0, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 0, 0, 7, 0, 0], [0, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 0, 7, 7, 0, 0, 7, 7, 7], [7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0], [7, 7, 0, 7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 0], [7, 7, 0, 0, 7, 0, 7, 7, 0, 0, 0, 7, 7, 7, 0, 7, 0, 7, 7, 0], [7, 7, 7, 0, 0, 7, 0, 0, 0, 7, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0], [0, 7, 7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 7, 7, 0, 7], [0, 0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 0, 7, 7, 7, 0, 0, 0, 7, 0], [0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 7, 7, 7, 7, 7, 0], [0, 0, 0, 0, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 0], [7, 7, 7, 7, 0, 0, 7, 0, 7, 7, 0, 7, 7, 0, 0, 7, 0, 7, 0, 0], [0, 7, 7, 7, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 7, 7, 0, 7], [0, 7, 7, 7, 0, 7, 7, 0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0], [7, 0, 0, 0, 7, 7, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0, 0], [7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7, 0, 0, 7, 0, 7, 0, 7]] -> [[0, 0, 0, 9, 0, 9, 0, 9, 9, 0, 0, 0, 0, 9, 9, 0, 9, 9, 0, 0], [9, 9, 9, 0, 9, 9, 0, 0, 0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9], [0, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9], [0, 0, 9, 9, 0, 0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 0, 0, 9, 9, 9], [0, 0, 9, 9, 0, 0, 0, 9, 9, 9, 0, 9, 0, 0, 0, 0, 0, 9, 0, 9], [0, 0, 9, 9, 0, 9, 0, 9, 0, 9, 0, 9, 9, 0, 0, 0, 0, 9, 0, 9], [0, 0, 9, 9, 0, 0, 9, 9, 0, 0, 9, 0, 0, 9, 0, 0, 0, 9, 9, 9], [9, 0, 0, 9, 9, 0, 0, 0, 0, 9, 9, 9, 0, 0, 0, 9, 0, 9, 0, 9], [9, 9, 0, 9, 0, 9, 9, 9, 0, 9, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9], [0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 0], [9, 9, 9, 0, 0, 9, 0, 0, 0, 9, 9, 9, 0, 9, 9, 9, 0, 0, 0, 9], [0, 9, 9, 9, 9, 9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 9, 9, 9, 0, 9], [0, 9, 9, 9, 9, 0, 0, 9, 0, 9, 0, 9, 9, 9, 0, 9, 0, 0, 9, 0], [0, 9, 0, 9, 0, 9, 9, 0, 0, 9, 0, 9, 0, 0, 9, 9, 9, 9, 9, 9], [0, 9, 0, 0, 0, 9, 9, 9, 0, 9, 0, 9, 9, 9, 0, 0, 0, 9, 0, 9], [0, 9, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 0, 9, 0, 9, 0, 0], [0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 9, 0, 0, 0, 0, 9, 0, 9, 0, 9], [0, 9, 9, 9, 0, 9, 0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9], [0, 0, 0, 9, 0, 9, 0, 9, 9, 9, 9, 9, 0, 9, 0, 9, 0, 9, 0, 0], [9, 9, 9, 9, 9, 9, 9, 9, 0, 9, 9, 9, 0, 9, 0, 9, 0, 9, 0, 9]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 0, 6, 6, 6, 0, 6, 0, 0, 0], [6, 6, 6, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 6, 6, 6], [0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0], [0, 0, 6, 0, 0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 0, 0, 0, 6, 6, 6], [0, 0, 6, 0, 0, 0, 0, 6, 6, 6, 0, 6, 0, 0, 6, 0, 6, 0, 0, 6], [0, 0, 6, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 6, 0, 6, 0, 6, 6], [6, 0, 6, 6, 0, 0, 6, 6, 0, 0, 6, 0, 6, 6, 0, 0, 6, 0, 6, 6], [6, 0, 0, 6, 6, 0, 6, 0, 6, 6, 6, 0, 6, 0, 0, 6, 6, 6, 0, 6], [6, 0, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 6, 0, 6, 6, 6, 6], [0, 0, 6, 6, 0, 6, 0, 0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 6, 0, 0], [6, 0, 6, 0, 0, 6, 6, 0, 6, 6, 6, 0, 0, 6, 6, 6, 6, 0, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 0, 6, 6, 0, 0, 0], [6, 6, 6, 6, 6, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 6, 0, 0, 6, 0], [0, 6, 6, 6, 0, 6, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 6, 6, 6, 6], [6, 6, 6, 0, 0, 0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6], [0, 0, 6, 0, 6, 6, 6, 0, 6, 6, 0, 6, 6, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 6, 0, 6, 0, 6, 6, 6, 6, 0, 6, 0, 0, 6, 0, 6, 6, 0], [0, 0, 6, 6, 0, 6, 0, 6, 0, 0, 0, 6, 6, 6, 6, 6, 0, 0, 0, 6], [0, 0, 6, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0], [6, 6, 6, 0, 6, 6, 6, 6, 0, 0, 6, 6, 0, 6, 0, 0, 6, 0, 6, 6], [7, 0, 7, 7, 0, 7, 0, 7, 7, 0, 0, 0, 0, 7, 7, 0, 7, 7, 0, 0], [7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7, 0, 0, 0, 7, 7, 0, 7, 0, 0], [0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 0, 7, 0, 0, 7, 7], [7, 0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0], [7, 0, 7, 7, 0, 0, 7, 0, 7, 7, 7, 7, 7, 0, 0, 0, 0, 7, 7, 0], [0, 0, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 0, 0, 7, 0, 0], [0, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 0, 7, 7, 0, 0, 7, 7, 7], [7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0], [7, 7, 0, 7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 0], [7, 7, 0, 0, 7, 0, 7, 7, 0, 0, 0, 7, 7, 7, 0, 7, 0, 7, 7, 0], [7, 7, 7, 0, 0, 7, 0, 0, 0, 7, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0], [0, 7, 7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 7, 7, 0, 7], [0, 0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 0, 7, 7, 7, 0, 0, 0, 7, 0], [0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 7, 7, 7, 7, 7, 0], [0, 0, 0, 0, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 0], [7, 7, 7, 7, 0, 0, 7, 0, 7, 7, 0, 7, 7, 0, 0, 7, 0, 7, 0, 0], [0, 7, 7, 7, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 7, 7, 0, 7], [0, 7, 7, 7, 0, 7, 7, 0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0], [7, 0, 0, 0, 7, 7, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0, 0], [7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7, 0, 0, 7, 0, 7, 0, 7]] -> [[0, 0, 0, 9, 0, 9, 0, 9, 9, 0, 0, 0, 0, 9, 9, 0, 9, 9, 0, 0], [9, 9, 9, 0, 9, 9, 0, 0, 0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9], [0, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9], [0, 0, 9, 9, 0, 0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 0, 0, 9, 9, 9], [0, 0, 9, 9, 0, 0, 0, 9, 9, 9, 0, 9, 0, 0, 0, 0, 0, 9, 0, 9], [0, 0, 9, 9, 0, 9, 0, 9, 0, 9, 0, 9, 9, 0, 0, 0, 0, 9, 0, 9], [0, 0, 9, 9, 0, 0, 9, 9, 0, 0, 9, 0, 0, 9, 0, 0, 0, 9, 9, 9], [9, 0, 0, 9, 9, 0, 0, 0, 0, 9, 9, 9, 0, 0, 0, 9, 0, 9, 0, 9], [9, 9, 0, 9, 0, 9, 9, 9, 0, 9, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9], [0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 0], [9, 9, 9, 0, 0, 9, 0, 0, 0, 9, 9, 9, 0, 9, 9, 9, 0, 0, 0, 9], [0, 9, 9, 9, 9, 9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 9, 9, 9, 0, 9], [0, 9, 9, 9, 9, 0, 0, 9, 0, 9, 0, 9, 9, 9, 0, 9, 0, 0, 9, 0], [0, 9, 0, 9, 0, 9, 9, 0, 0, 9, 0, 9, 0, 0, 9, 9, 9, 9, 9, 9], [0, 9, 0, 0, 0, 9, 9, 9, 0, 9, 0, 9, 9, 9, 0, 0, 0, 9, 0, 9], [0, 9, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 0, 9, 0, 9, 0, 0], [0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 9, 0, 0, 0, 0, 9, 0, 9, 0, 9], [0, 9, 9, 9, 0, 9, 0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9], [0, 0, 0, 9, 0, 9, 0, 9, 9, 9, 9, 9, 0, 9, 0, 9, 0, 9, 0, 0], [9, 9, 9, 9, 9, 9, 9, 9, 0, 9, 9, 9, 0, 9, 0, 9, 0, 9, 0, 9]]\nExample input-output arrays:\n[[5, 0, 0, 0, 5, 5, 0, 5, 5, 0, 0, 0, 5, 0, 0, 0, 5, 5, 5, 0], [5, 0, 0, 0, 5, 5, 5, 5, 0, 5, 5, 0, 0, 0, 5, 0, 0, 0, 5, 5], [5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 0, 5, 5, 5, 5, 5, 0], [5, 5, 5, 0, 5, 5, 5, 5, 0, 5, 0, 0, 0, 0, 0, 0, 5, 5, 0, 5], [5, 5, 5, 5, 0, 0, 5, 0, 0, 0, 5, 5, 5, 0, 5, 0, 0, 5, 5, 5], [5, 0, 5, 0, 5, 5, 5, 5, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 0, 5], [0, 5, 5, 5, 5, 0, 5, 0, 0, 5, 0, 5, 0, 5, 5, 0, 0, 5, 0, 0], [0, 0, 5, 5, 0, 5, 0, 0, 5, 5, 0, 0, 5, 5, 5, 0, 5, 5, 0, 0], [5, 5, 5, 5, 0, 0, 5, 0, 5, 0, 0, 5, 0, 0, 5, 5, 5, 5, 0, 5], [0, 0, 5, 5, 5, 0, 0, 5, 0, 5, 5, 5, 0, 5, 5, 5, 5, 5, 5, 5], [5, 0, 0, 5, 0, 5, 0, 0, 0, 0, 5, 0, 5, 0, 0, 0, 0, 0, 5, 5], [0, 5, 5, 5, 0, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 5, 0, 0, 0, 0], [0, 5, 0, 0, 0, 5, 5, 5, 5, 0, 0, 5, 0, 5, 5, 0, 5, 0, 0, 0], [0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 0, 5, 0, 0, 5, 0], [0, 5, 5, 5, 0, 5, 0, 0, 0, 5, 5, 0, 0, 0, 0, 5, 5, 5, 0, 0], [0, 0, 0, 5, 5, 0, 0, 5, 0, 5, 0, 5, 0, 5, 5, 0, 0, 0, 5, 0], [5, 0, 0, 5, 0, 5, 5, 0, 5, 5, 5, 0, 5, 0, 5, 5, 0, 5, 5, 5], [5, 5, 0, 0, 0, 5, 0, 5, 5, 5, 5, 5, 0, 0, 0, 0, 5, 0, 0, 5], [5, 5, 0, 5, 0, 0, 0, 5, 5, 0, 0, 0, 0, 5, 5, 0, 0, 5, 0, 5], [5, 0, 5, 0, 5, 0, 5, 5, 5, 0, 5, 5, 0, 5, 5, 5, 5, 5, 5, 0], [0, 0, 7, 7, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 7], [7, 7, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 7, 7, 7, 0, 7, 0, 0, 7], [0, 0, 7, 0, 0, 7, 0, 7, 0, 0, 7, 0, 7, 7, 7, 7, 0, 0, 0, 7], [7, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 7, 7], [0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7, 7, 0, 7, 7], [0, 0, 7, 7, 0, 0, 7, 0, 0, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 0], [0, 0, 7, 0, 7, 7, 0, 0, 0, 7, 7, 0, 7, 7, 7, 0, 7, 0, 7, 0], [0, 7, 7, 7, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 7, 7, 7, 7, 0], [0, 0, 0, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 7, 0, 0, 0], [7, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 7, 7, 7, 0, 7, 0, 7], [7, 0, 0, 0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 7, 7, 0, 7, 0, 7, 0], [0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 7, 7, 7, 7, 0, 0, 7, 7], [0, 7, 0, 0, 7, 7, 0, 7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 7], [7, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 0, 7, 7, 7, 7, 0, 0, 7, 7], [7, 7, 0, 0, 7, 7, 7, 7, 7, 0, 0, 7, 0, 7, 7, 7, 0, 0, 0, 7], [7, 0, 0, 7, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7, 0, 0], [0, 0, 0, 0, 7, 0, 7, 7, 0, 7, 0, 7, 7, 7, 0, 7, 0, 0, 0, 7], [7, 7, 0, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 7, 7, 7, 0, 0], [0, 7, 7, 7, 7, 0, 7, 7, 0, 0, 7, 7, 7, 0, 7, 7, 0, 0, 7, 7], [0, 7, 7, 0, 7, 0, 7, 0, 7, 7, 0, 7, 0, 0, 7, 0, 7, 7, 7, 0]] -> [[0, 0, 0, 9, 0, 9, 0, 9, 0, 0, 0, 0, 9, 9, 0, 9, 0, 9, 0, 9], [9, 9, 0, 9, 9, 9, 9, 9, 0, 9, 0, 9, 0, 9, 9, 0, 0, 0, 0, 9], [0, 0, 0, 0, 0, 9, 0, 9, 0, 0, 9, 0, 0, 9, 9, 9, 0, 9, 0, 9], [9, 9, 9, 0, 0, 9, 0, 9, 0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9], [0, 9, 9, 9, 0, 0, 0, 0, 0, 0, 9, 9, 0, 9, 0, 9, 0, 9, 9, 9], [0, 0, 9, 9, 0, 9, 9, 9, 0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9], [0, 9, 9, 9, 9, 9, 0, 0, 0, 9, 0, 9, 0, 9, 9, 0, 0, 9, 0, 0], [0, 9, 9, 9, 0, 9, 0, 0, 9, 9, 0, 0, 0, 9, 0, 9, 9, 9, 0, 0], [0, 9, 0, 9, 0, 9, 9, 0, 9, 9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 9], [0, 9, 9, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 9, 0, 9], [9, 0, 0, 9, 0, 9, 0, 0, 0, 0, 9, 9, 0, 9, 0, 0, 0, 0, 9, 9], [0, 9, 0, 9, 0, 9, 0, 0, 0, 9, 9, 0, 9, 9, 9, 9, 0, 0, 0, 9], [0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 9, 0, 9, 0, 0, 9], [0, 0, 0, 9, 0, 9, 0, 0, 9, 9, 0, 9, 0, 9, 0, 9, 0, 0, 9, 9], [0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9], [0, 0, 0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 9, 0, 0], [0, 0, 0, 9, 0, 9, 9, 9, 0, 9, 0, 9, 9, 9, 0, 9, 0, 9, 0, 9], [9, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9, 0, 0, 0, 9, 9, 9, 0, 9], [0, 9, 0, 9, 0, 0, 0, 9, 0, 0, 0, 9, 0, 9, 9, 9, 0, 9, 0, 9], [0, 9, 9, 0, 9, 0, 9, 9, 9, 9, 0, 9, 0, 9, 9, 9, 9, 9, 9, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing the causal function for some elements.\n[[0, 5, 5, 5, 0, 0, 5, 0, 0, 5, 5, 5, 0, 5, 5, 5, 0, 0, 0, 5], [0, 5, 5, 5, 0, 0, 0, 0, 5, 0, 0, 5, 5, 5, 0, 5, 5, 5, 0, 0], [0, 5, 5, 5, 0, 5, 5, 5, 5, 5, 0, 5, 5, 5, 0, 0, 0, 0, 0, 5], [0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 5, 5, 5, 5, 5, 5, 0, 0, 5, 0], [0, 0, 0, 0, 5, 5, 0, 5, 5, 5, 0, 0, 0, 5, 0, 5, 5, 0, 0, 0], [0, 5, 0, 5, 0, 0, 0, 0, 5, 0, 5, 5, 5, 5, 5, 0, 5, 5, 5, 0], [5, 0, 0, 0, 0, 5, 0, 5, 5, 0, 5, 0, 5, 0, 0, 5, 5, 0, 5, 5], [5, 5, 0, 0, 5, 0, 5, 5, 0, 0, 5, 5, 0, 0, 0, 5, 0, 0, 5, 5], [0, 0, 0, 0, 5, 5, 0, 5, 0, 5, 5, 0, 5, 5, 0, 0, 0, 0, 5, 0], [5, 5, 0, 0, 0, 5, 5, 0, 5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0], [0, 5, 5, 0, 5, 0, 5, 5, 5, 5, 0, 5, 0, 5, 5, 5, 5, 5, 0, 0], [5, 0, 0, 0, 5, 0, 5, 5, 5, 0, 0, 5, 0, 5, 0, 0, 5, 5, 5, 5], [5, 0, 5, 5, 5, 0, 0, 0, 0, 5, 5, 0, 5, 0, 0, 5, 0, 5, 5, 5], [5, 5, 5, 0, 0, 5, 5, 5, 0, 0, 5, 0, 5, 0, 5, 0, 5, 5, 0, 5], [5, 0, 0, 0, 5, 0, 5, 5, 5, 0, 0, 5, 5, 5, 5, 0, 0, 0, 5, 5], [5, 5, 5, 0, 0, 5, 5, 0, 5, 0, 5, 0, 5, 0, 0, 5, 5, 5, 0, 5], [0, 5, 5, 0, 5, 0, 0, 5, 0, 0, 0, 5, 0, 5, 0, 0, 5, 0, 0, 0], [0, 0, 5, 5, 5, 0, 5, 0, 0, 0, 0, 0, 5, 5, 5, 5, 0, 5, 5, 0], [0, 0, 5, 0, 5, 5, 5, 0, 0, 5, 5, 5, 5, 0, 0, 5, 5, 0, 5, 0], [0, 5, 0, 5, 0, 5, 0, 0, 0, 5, 0, 0, 5, 0, 0, 0, 0, 0, 0, 5], [7, 7, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 0, 0, 7, 0, 0], [0, 7, 0, 0, 7, 0, 7, 7, 7, 0, 7, 0, 0, 7, 7, 0, 7, 0, 7, 7], [0, 0, 7, 0, 0, 7, 0, 7, 0, 7, 7, 0, 0, 0, 7, 7, 0, 7, 0, 0], [7, 7, 0, 7, 7, 7, 0, 0, 0, 7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 7], [0, 7, 0, 7, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7], [7, 7, 7, 0, 0, 7, 7, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 7, 7], [7, 7, 0, 0, 7, 7, 0, 7, 7, 0, 0, 7, 0, 7, 7, 0, 7, 0, 0, 0], [0, 7, 0, 7, 7, 7, 0, 7, 7, 7, 0, 0, 7, 0, 7, 0, 0, 7, 0, 7], [7, 0, 7, 7, 0, 0, 7, 0, 7, 0, 0, 0, 0, 7, 0, 0, 7, 7, 7, 0], [0, 7, 7, 0, 0, 7, 7, 7, 7, 0, 7, 7, 7, 7, 0, 7, 0, 7, 7, 7], [7, 7, 0, 0, 7, 7, 0, 7, 7, 0, 7, 0, 7, 0, 7, 7, 0, 0, 0, 0], [7, 0, 7, 0, 0, 0, 0, 7, 7, 7, 7, 7, 0, 7, 0, 7, 0, 0, 7, 0], [7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 0, 7, 7, 0, 0, 7, 0, 0, 7, 7], [7, 0, 7, 7, 7, 7, 0, 0, 7, 7, 7, 7, 7, 0, 7, 0, 7, 0, 0, 7], [0, 7, 0, 0, 7, 0, 7, 7, 0, 0, 0, 0, 7, 7, 0, 0, 0, 7, 0, 7], [0, 0, 7, 0, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 7, 0, 0, 7, 0], [7, 0, 7, 0, 0, 7, 0, 7, 7, 0, 7, 7, 7, 0, 0, 0, 7, 0, 0, 7], [0, 7, 0, 7, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7, 7, 0, 7, 0, 7, 7], [0, 7, 0, 7, 0, 0, 7, 7, 7, 0, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7], [0, 7, 0, 7, 7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0, 0, 7, 7]] -> ",
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+                }
+            },
+            "Replicate 1": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 0, 5, 0, 0, 5, 5, 0, 0, 5, 5, 5, 5, 0, 5, 5, 5, 5, 5], [5, 5, 5, 0, 0, 0, 5, 0, 0, 0, 5, 0, 5, 5, 0, 5, 5, 0, 0, 5], [5, 0, 0, 0, 5, 5, 0, 5, 5, 0, 5, 5, 5, 5, 0, 5, 0, 0, 5, 5], [5, 0, 5, 0, 0, 0, 5, 0, 5, 0, 5, 5, 0, 5, 0, 0, 0, 5, 0, 5], [5, 0, 5, 0, 0, 0, 5, 5, 5, 5, 5, 5, 5, 5, 0, 5, 0, 0, 5, 5], [0, 5, 5, 0, 5, 5, 0, 0, 5, 5, 0, 0, 5, 5, 0, 0, 5, 5, 5, 5], [5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 5, 0, 5, 5, 0], [0, 0, 5, 5, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 5, 5, 0, 0, 5, 5], [5, 5, 0, 0, 0, 0, 0, 5, 0, 5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 0], [0, 0, 0, 5, 0, 5, 5, 0, 5, 0, 0, 5, 0, 5, 0, 0, 0, 5, 5, 0], [5, 0, 5, 5, 0, 5, 0, 0, 5, 0, 0, 0, 0, 5, 5, 0, 5, 0, 0, 0], [0, 0, 0, 5, 5, 0, 0, 0, 0, 5, 0, 0, 0, 5, 5, 5, 5, 0, 5, 0], [5, 0, 5, 5, 5, 5, 0, 5, 0, 5, 0, 0, 0, 0, 0, 5, 0, 5, 0, 5], [0, 0, 5, 5, 0, 0, 5, 0, 0, 5, 5, 5, 0, 5, 0, 5, 5, 5, 5, 5], [5, 5, 0, 5, 0, 0, 0, 5, 5, 5, 5, 0, 0, 5, 5, 0, 0, 0, 0, 0], [5, 5, 0, 0, 5, 0, 0, 5, 5, 5, 0, 5, 0, 0, 5, 5, 5, 5, 0, 0], [0, 5, 5, 5, 0, 0, 5, 5, 0, 5, 0, 0, 5, 5, 5, 0, 5, 5, 0, 0], [0, 0, 5, 5, 5, 0, 5, 0, 5, 0, 5, 0, 5, 0, 5, 5, 0, 0, 0, 0], [0, 0, 5, 5, 0, 0, 0, 0, 5, 0, 0, 5, 5, 0, 0, 5, 5, 5, 0, 5], [0, 0, 5, 5, 5, 5, 5, 5, 0, 5, 5, 0, 5, 0, 5, 0, 5, 0, 5, 5], [7, 0, 0, 0, 0, 7, 0, 7, 7, 7, 7, 0, 7, 7, 7, 0, 0, 0, 0, 7], [0, 0, 7, 0, 7, 0, 0, 7, 7, 0, 7, 0, 0, 0, 0, 7, 7, 0, 0, 0], [0, 0, 7, 0, 0, 0, 0, 7, 7, 0, 0, 0, 7, 0, 7, 7, 7, 0, 7, 0], [0, 7, 7, 0, 7, 7, 0, 0, 7, 0, 7, 0, 0, 0, 0, 7, 7, 7, 7, 0], [0, 7, 7, 0, 7, 0, 7, 0, 7, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7], [0, 0, 7, 0, 0, 7, 0, 7, 7, 7, 7, 0, 0, 7, 0, 7, 7, 7, 0, 7], [7, 7, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0], [7, 7, 0, 0, 7, 0, 0, 7, 0, 7, 7, 0, 0, 0, 7, 7, 7, 7, 0, 7], [7, 0, 7, 7, 0, 7, 7, 0, 7, 0, 0, 7, 0, 7, 7, 7, 0, 0, 7, 7], [0, 7, 0, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 7, 7, 7, 7, 7], [7, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 7], [0, 7, 7, 0, 0, 7, 0, 0, 0, 7, 7, 0, 0, 7, 0, 7, 7, 7, 7, 0], [0, 7, 7, 7, 0, 0, 7, 7, 0, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 7], [0, 7, 0, 0, 7, 7, 7, 0, 7, 7, 7, 0, 0, 7, 0, 7, 7, 0, 0, 7], [0, 0, 0, 0, 7, 7, 7, 0, 7, 7, 0, 0, 7, 0, 7, 7, 7, 0, 7, 0], [7, 0, 0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 7, 7, 0, 7, 7, 7, 0, 7], [0, 0, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0, 7, 0, 7, 7, 7, 7, 7, 0], [7, 7, 0, 7, 7, 0, 0, 7, 0, 0, 0, 7, 7, 7, 7, 7, 0, 0, 0, 7], [7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 7, 0, 0, 7, 0, 7, 7, 7, 7, 7], [7, 7, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 0, 0, 0, 7, 7, 7, 0, 7]] -> [[0, 0, 0, 9, 0, 9, 0, 9, 0, 9, 9, 9, 9, 9, 0, 9, 0, 9, 0, 9], [0, 9, 9, 0, 0, 0, 0, 9, 0, 0, 9, 0, 0, 9, 0, 9, 9, 0, 0, 9], [0, 0, 0, 0, 0, 9, 0, 9, 9, 0, 0, 9, 9, 9, 0, 9, 0, 0, 9, 9], [0, 9, 9, 0, 0, 9, 0, 0, 9, 0, 9, 9, 0, 9, 0, 9, 0, 9, 0, 9], [0, 9, 9, 0, 0, 0, 9, 9, 9, 9, 0, 9, 0, 9, 0, 9, 0, 0, 0, 9], [0, 9, 9, 0, 0, 9, 0, 9, 9, 9, 0, 0, 0, 9, 0, 9, 9, 9, 0, 9], [9, 9, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 9, 0, 9, 0, 9, 0, 0], [0, 9, 0, 9, 0, 0, 0, 9, 0, 9, 0, 0, 0, 0, 9, 9, 0, 9, 0, 9], [9, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 9, 0, 9], [0, 9, 0, 9, 0, 9, 0, 0, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9, 9, 9], [9, 0, 0, 9, 0, 9, 0, 9, 0, 0, 0, 9, 0, 9, 0, 0, 0, 0, 0, 9], [0, 9, 0, 9, 0, 9, 0, 0, 0, 9, 0, 0, 0, 9, 0, 9, 9, 9, 9, 0], [0, 9, 9, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9], [0, 9, 0, 9, 0, 9, 9, 0, 0, 9, 9, 9, 0, 9, 0, 9, 9, 9, 0, 9], [0, 9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0], [9, 9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 9], [0, 9, 0, 9, 0, 0, 0, 9, 0, 9, 0, 0, 9, 9, 9, 9, 9, 9, 0, 0], [0, 9, 0, 9, 9, 0, 0, 9, 0, 0, 0, 9, 9, 9, 9, 9, 0, 0, 0, 9], [0, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 9, 0, 9, 0, 9, 9, 9, 0, 9], [0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 0, 0, 0, 0, 9, 9, 9, 0, 9]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 0, 0, 6, 0, 0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6], [6, 6, 6, 0, 0, 0, 6, 0, 0, 0, 6, 0, 6, 6, 0, 6, 6, 0, 0, 6], [6, 0, 0, 0, 6, 6, 0, 6, 6, 0, 6, 6, 6, 6, 0, 6, 0, 0, 6, 6], [6, 0, 6, 0, 0, 0, 6, 0, 6, 0, 6, 6, 0, 6, 0, 0, 0, 6, 0, 6], [6, 0, 6, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 0, 0, 6, 6], [0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 6, 6, 6, 6], [6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 6, 6, 0], [0, 0, 6, 6, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 6], [6, 6, 0, 0, 0, 0, 0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 0, 6, 0, 0], [0, 0, 0, 6, 0, 6, 6, 0, 6, 0, 0, 6, 0, 6, 0, 0, 0, 6, 6, 0], [6, 0, 6, 6, 0, 6, 0, 0, 6, 0, 0, 0, 0, 6, 6, 0, 6, 0, 0, 0], [0, 0, 0, 6, 6, 0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 6, 6, 0, 6, 0], [6, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0, 6, 0, 6, 0, 6], [0, 0, 6, 6, 0, 0, 6, 0, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 6, 6], [6, 6, 0, 6, 0, 0, 0, 6, 6, 6, 6, 0, 0, 6, 6, 0, 0, 0, 0, 0], [6, 6, 0, 0, 6, 0, 0, 6, 6, 6, 0, 6, 0, 0, 6, 6, 6, 6, 0, 0], [0, 6, 6, 6, 0, 0, 6, 6, 0, 6, 0, 0, 6, 6, 6, 0, 6, 6, 0, 0], [0, 0, 6, 6, 6, 0, 6, 0, 6, 0, 6, 0, 6, 0, 6, 6, 0, 0, 0, 0], [0, 0, 6, 6, 0, 0, 0, 0, 6, 0, 0, 6, 6, 0, 0, 6, 6, 6, 0, 6], [0, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 0, 6, 0, 6, 0, 6, 6], [7, 0, 0, 0, 0, 7, 0, 7, 7, 7, 7, 0, 7, 7, 7, 0, 0, 0, 0, 7], [0, 0, 7, 0, 7, 0, 0, 7, 7, 0, 7, 0, 0, 0, 0, 7, 7, 0, 0, 0], [0, 0, 7, 0, 0, 0, 0, 7, 7, 0, 0, 0, 7, 0, 7, 7, 7, 0, 7, 0], [0, 7, 7, 0, 7, 7, 0, 0, 7, 0, 7, 0, 0, 0, 0, 7, 7, 7, 7, 0], [0, 7, 7, 0, 7, 0, 7, 0, 7, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7], [0, 0, 7, 0, 0, 7, 0, 7, 7, 7, 7, 0, 0, 7, 0, 7, 7, 7, 0, 7], [7, 7, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0], [7, 7, 0, 0, 7, 0, 0, 7, 0, 7, 7, 0, 0, 0, 7, 7, 7, 7, 0, 7], [7, 0, 7, 7, 0, 7, 7, 0, 7, 0, 0, 7, 0, 7, 7, 7, 0, 0, 7, 7], [0, 7, 0, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 7, 7, 7, 7, 7], [7, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 7], [0, 7, 7, 0, 0, 7, 0, 0, 0, 7, 7, 0, 0, 7, 0, 7, 7, 7, 7, 0], [0, 7, 7, 7, 0, 0, 7, 7, 0, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 7], [0, 7, 0, 0, 7, 7, 7, 0, 7, 7, 7, 0, 0, 7, 0, 7, 7, 0, 0, 7], [0, 0, 0, 0, 7, 7, 7, 0, 7, 7, 0, 0, 7, 0, 7, 7, 7, 0, 7, 0], [7, 0, 0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 7, 7, 0, 7, 7, 7, 0, 7], [0, 0, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0, 7, 0, 7, 7, 7, 7, 7, 0], [7, 7, 0, 7, 7, 0, 0, 7, 0, 0, 0, 7, 7, 7, 7, 7, 0, 0, 0, 7], [7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 7, 0, 0, 7, 0, 7, 7, 7, 7, 7], [7, 7, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 0, 0, 0, 7, 7, 7, 0, 7]] -> [[0, 0, 0, 9, 0, 9, 0, 9, 0, 9, 9, 9, 9, 9, 0, 9, 0, 9, 0, 9], [0, 9, 9, 0, 0, 0, 0, 9, 0, 0, 9, 0, 0, 9, 0, 9, 9, 0, 0, 9], [0, 0, 0, 0, 0, 9, 0, 9, 9, 0, 0, 9, 9, 9, 0, 9, 0, 0, 9, 9], [0, 9, 9, 0, 0, 9, 0, 0, 9, 0, 9, 9, 0, 9, 0, 9, 0, 9, 0, 9], [0, 9, 9, 0, 0, 0, 9, 9, 9, 9, 0, 9, 0, 9, 0, 9, 0, 0, 0, 9], [0, 9, 9, 0, 0, 9, 0, 9, 9, 9, 0, 0, 0, 9, 0, 9, 9, 9, 0, 9], [9, 9, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 9, 0, 9, 0, 9, 0, 0], [0, 9, 0, 9, 0, 0, 0, 9, 0, 9, 0, 0, 0, 0, 9, 9, 0, 9, 0, 9], [9, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 9, 0, 9], [0, 9, 0, 9, 0, 9, 0, 0, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9, 9, 9], [9, 0, 0, 9, 0, 9, 0, 9, 0, 0, 0, 9, 0, 9, 0, 0, 0, 0, 0, 9], [0, 9, 0, 9, 0, 9, 0, 0, 0, 9, 0, 0, 0, 9, 0, 9, 9, 9, 9, 0], [0, 9, 9, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9], [0, 9, 0, 9, 0, 9, 9, 0, 0, 9, 9, 9, 0, 9, 0, 9, 9, 9, 0, 9], [0, 9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0], [9, 9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 9], [0, 9, 0, 9, 0, 0, 0, 9, 0, 9, 0, 0, 9, 9, 9, 9, 9, 9, 0, 0], [0, 9, 0, 9, 9, 0, 0, 9, 0, 0, 0, 9, 9, 9, 9, 9, 0, 0, 0, 9], [0, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 9, 0, 9, 0, 9, 9, 9, 0, 9], [0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 0, 0, 0, 0, 9, 9, 9, 0, 9]]\nExample input-output arrays:\n[[5, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 5, 5, 5, 0, 0, 0, 0, 5, 0], [0, 0, 0, 0, 0, 0, 5, 0, 5, 0, 0, 5, 5, 5, 0, 5, 5, 5, 0, 0], [5, 0, 0, 5, 0, 0, 0, 5, 0, 5, 5, 5, 5, 5, 5, 0, 5, 5, 0, 5], [5, 0, 0, 0, 0, 5, 5, 0, 5, 0, 5, 5, 0, 0, 5, 0, 5, 5, 5, 5], [0, 0, 5, 0, 5, 0, 0, 5, 5, 5, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0], [5, 5, 5, 0, 0, 0, 5, 0, 5, 5, 5, 0, 5, 5, 0, 0, 5, 5, 0, 5], [0, 0, 5, 5, 0, 0, 0, 5, 5, 5, 0, 5, 0, 5, 0, 0, 5, 0, 5, 5], [0, 0, 0, 0, 5, 5, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0], [5, 0, 0, 0, 5, 0, 5, 5, 0, 5, 0, 0, 0, 5, 0, 5, 5, 5, 5, 5], [0, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 5, 5, 5, 5, 5, 5, 0, 5, 5], [5, 5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 5, 0, 0, 5, 0, 0, 5, 5], [0, 0, 0, 0, 0, 5, 0, 0, 0, 5, 0, 5, 5, 5, 5, 0, 5, 0, 0, 0], [5, 0, 0, 0, 0, 5, 5, 5, 5, 0, 5, 0, 5, 0, 5, 5, 0, 0, 5, 5], [0, 5, 5, 5, 0, 0, 0, 0, 5, 0, 5, 0, 5, 5, 5, 0, 5, 5, 0, 0], [5, 0, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 5, 5, 5, 0, 5, 5, 5, 0], [0, 0, 0, 5, 5, 5, 5, 0, 5, 0, 5, 5, 5, 0, 5, 0, 5, 0, 0, 5], [0, 5, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 5, 0, 0, 5, 0, 0, 5, 5], [5, 0, 5, 0, 0, 5, 5, 5, 5, 0, 5, 5, 5, 0, 5, 5, 0, 0, 0, 5], [0, 0, 5, 5, 0, 5, 5, 5, 5, 0, 0, 0, 5, 0, 5, 5, 0, 0, 0, 0], [0, 0, 0, 5, 0, 0, 5, 0, 0, 5, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5], [0, 7, 7, 7, 7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 0, 7, 0, 7, 7], [0, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 0, 7, 7], [0, 7, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7, 7, 7, 7, 0, 0, 7, 7, 7], [7, 7, 0, 7, 0, 7, 0, 0, 7, 7, 0, 0, 7, 7, 0, 7, 7, 7, 7, 7], [0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 7, 7, 7, 7, 7], [7, 0, 0, 7, 0, 7, 7, 0, 0, 7, 0, 7, 0, 0, 7, 7, 7, 7, 7, 7], [0, 0, 7, 7, 0, 0, 7, 7, 7, 7, 0, 0, 7, 0, 7, 0, 7, 7, 7, 7], [0, 0, 7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 0, 0, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 7, 7, 0, 7, 7], [7, 0, 7, 0, 0, 0, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 0, 0, 7, 0], [0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7], [0, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 7, 0, 7, 0, 0, 7], [0, 7, 7, 7, 7, 0, 0, 7, 7, 7, 0, 7, 7, 0, 0, 0, 0, 0, 7, 0], [7, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 7, 7, 7], [7, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0], [7, 0, 0, 0, 7, 7, 0, 0, 0, 7, 0, 0, 7, 7, 0, 7, 7, 7, 0, 7], [7, 0, 0, 0, 0, 7, 7, 7, 0, 0, 7, 0, 7, 7, 0, 7, 0, 0, 0, 7], [7, 7, 7, 0, 0, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 0, 0, 0, 0, 0], [7, 0, 7, 0, 7, 7, 0, 0, 7, 7, 0, 7, 0, 0, 7, 7, 7, 0, 0, 7], [0, 0, 7, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 7, 7]] -> [[0, 9, 9, 9, 0, 0, 0, 9, 9, 0, 0, 9, 9, 9, 0, 0, 0, 0, 9, 9], [0, 9, 0, 0, 0, 0, 9, 0, 9, 9, 0, 9, 9, 9, 0, 9, 0, 9, 0, 9], [0, 9, 0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 9, 9, 9, 0, 0, 9, 0, 9], [9, 9, 0, 9, 0, 9, 0, 0, 9, 9, 0, 9, 0, 9, 0, 9, 9, 9, 9, 9], [0, 9, 0, 0, 9, 0, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9], [9, 9, 0, 9, 0, 9, 9, 0, 0, 9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 9], [0, 0, 9, 9, 0, 0, 0, 9, 9, 9, 0, 9, 0, 9, 0, 0, 9, 9, 9, 9], [0, 0, 0, 0, 9, 9, 0, 9, 0, 0, 0, 9, 0, 0, 0, 9, 9, 9, 0, 9], [9, 9, 0, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0, 9, 0, 9, 9, 9, 9, 9], [0, 9, 9, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 0, 9, 9], [0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9, 9, 0, 0, 9, 0, 0, 0, 9], [0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 9, 0, 9, 0, 0, 9], [0, 9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 9, 9, 0, 0, 9, 0, 0, 9, 9], [0, 9, 0, 9, 0, 0, 0, 9, 0, 0, 0, 9, 0, 9, 0, 0, 0, 9, 0, 9], [9, 0, 0, 9, 0, 9, 0, 0, 9, 9, 0, 0, 0, 9, 9, 9, 9, 9, 0, 0], [0, 0, 0, 9, 9, 9, 0, 0, 0, 9, 0, 9, 9, 9, 0, 9, 9, 9, 0, 9], [0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0, 9], [9, 9, 9, 0, 0, 9, 9, 9, 9, 9, 9, 9, 0, 9, 9, 9, 0, 0, 0, 9], [0, 0, 9, 9, 0, 9, 0, 9, 9, 9, 0, 9, 0, 0, 9, 9, 0, 0, 0, 9], [0, 0, 0, 9, 0, 9, 9, 0, 0, 9, 0, 0, 0, 0, 9, 9, 9, 0, 9, 9]]\nCounterfactual: Now imagine that we intervened on the previous input by changing the causal function for some elements.\n[[0, 5, 0, 5, 5, 5, 5, 5, 0, 5, 5, 0, 0, 0, 5, 5, 5, 5, 0, 5], [5, 5, 5, 5, 5, 5, 0, 5, 0, 5, 5, 0, 0, 0, 5, 0, 0, 0, 5, 5], [0, 5, 5, 0, 5, 5, 5, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0, 0, 5, 0], [0, 5, 5, 5, 5, 0, 0, 5, 0, 5, 0, 0, 5, 5, 0, 5, 0, 0, 0, 0], [5, 5, 0, 5, 0, 5, 5, 0, 0, 0, 5, 0, 0, 0, 5, 5, 5, 5, 5, 5], [0, 0, 0, 5, 5, 5, 0, 5, 0, 0, 0, 5, 0, 0, 5, 5, 0, 0, 5, 0], [5, 5, 0, 0, 5, 5, 5, 0, 0, 0, 5, 0, 5, 0, 5, 5, 0, 5, 0, 0], [5, 5, 5, 5, 0, 0, 5, 0, 5, 5, 5, 5, 0, 5, 5, 5, 0, 5, 5, 5], [0, 5, 5, 5, 0, 5, 0, 0, 5, 0, 5, 5, 5, 0, 5, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 5, 5, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 5, 0, 0], [0, 0, 5, 5, 5, 0, 5, 5, 5, 5, 5, 0, 0, 5, 5, 0, 5, 5, 0, 0], [5, 5, 5, 5, 5, 0, 5, 5, 5, 0, 5, 0, 0, 0, 0, 5, 0, 5, 5, 5], [0, 5, 5, 5, 5, 0, 0, 0, 0, 5, 0, 5, 0, 5, 0, 0, 5, 5, 0, 0], [5, 0, 0, 0, 5, 5, 5, 5, 0, 5, 0, 5, 0, 0, 0, 5, 0, 0, 5, 5], [0, 5, 5, 0, 5, 0, 5, 5, 0, 5, 0, 5, 0, 0, 0, 5, 0, 0, 0, 5], [5, 5, 5, 0, 0, 0, 0, 5, 0, 5, 0, 0, 0, 5, 0, 5, 0, 5, 5, 0], [5, 0, 5, 5, 5, 5, 5, 5, 5, 0, 0, 0, 0, 5, 5, 0, 5, 5, 0, 0], [0, 5, 0, 5, 5, 0, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 5, 5, 5, 0], [5, 5, 0, 0, 5, 0, 0, 0, 0, 5, 5, 5, 0, 5, 0, 0, 5, 5, 5, 5], [5, 5, 5, 0, 5, 5, 0, 5, 5, 0, 5, 5, 5, 5, 0, 0, 0, 5, 0, 0], [7, 0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 7, 0, 0, 7, 0, 0, 0, 0, 7], [7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 7, 7, 0, 7], [0, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 0, 0, 7, 0, 0, 7, 0, 0, 0], [7, 7, 7, 0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 7, 7, 7, 7, 0, 0, 7], [7, 7, 7, 0, 0, 7, 0, 7, 7, 0, 0, 0, 0, 0, 7, 0, 7, 7, 7, 7], [0, 7, 7, 7, 7, 7, 7, 7, 0, 0, 7, 7, 0, 0, 7, 7, 7, 0, 7, 0], [0, 0, 0, 7, 7, 7, 7, 7, 7, 0, 0, 7, 7, 7, 0, 0, 0, 0, 7, 7], [0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 0, 0, 0, 7, 7, 0, 7, 7, 0, 7], [7, 7, 0, 0, 0, 0, 0, 7, 7, 0, 7, 7, 0, 0, 7, 0, 0, 7, 0, 0], [7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 0, 0, 7, 7, 7, 7, 0], [0, 7, 0, 0, 7, 0, 0, 0, 7, 7, 0, 0, 7, 7, 7, 7, 0, 7, 0, 0], [7, 0, 7, 0, 0, 0, 0, 7, 7, 7, 7, 0, 0, 7, 7, 0, 0, 7, 7, 0], [7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 0], [0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 7, 7, 7, 7, 0, 7], [7, 7, 0, 7, 7, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 0, 0, 7, 7, 0], [7, 7, 7, 0, 0, 0, 7, 7, 7, 0, 7, 7, 0, 0, 0, 0, 7, 0, 7, 7], [0, 0, 7, 0, 7, 0, 7, 7, 7, 0, 0, 0, 7, 7, 0, 7, 0, 7, 7, 0], [7, 7, 7, 0, 7, 7, 0, 7, 0, 0, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7], [7, 0, 0, 7, 7, 0, 0, 0, 7, 7, 0, 7, 0, 0, 7, 7, 0, 0, 7, 7], [0, 0, 0, 7, 0, 7, 0, 0, 7, 7, 0, 0, 0, 7, 7, 7, 7, 0, 0, 0]] -> ",
+                "test": {
+                    "input": [
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+                }
+            },
+            "Replicate 2": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[5, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 5, 5, 5, 0, 0, 0, 0, 5, 0], [0, 0, 0, 0, 0, 0, 5, 0, 5, 0, 0, 5, 5, 5, 0, 5, 5, 5, 0, 0], [5, 0, 0, 5, 0, 0, 0, 5, 0, 5, 5, 5, 5, 5, 5, 0, 5, 5, 0, 5], [5, 0, 0, 0, 0, 5, 5, 0, 5, 0, 5, 5, 0, 0, 5, 0, 5, 5, 5, 5], [0, 0, 5, 0, 5, 0, 0, 5, 5, 5, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0], [5, 5, 5, 0, 0, 0, 5, 0, 5, 5, 5, 0, 5, 5, 0, 0, 5, 5, 0, 5], [0, 0, 5, 5, 0, 0, 0, 5, 5, 5, 0, 5, 0, 5, 0, 0, 5, 0, 5, 5], [0, 0, 0, 0, 5, 5, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0], [5, 0, 0, 0, 5, 0, 5, 5, 0, 5, 0, 0, 0, 5, 0, 5, 5, 5, 5, 5], [0, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 5, 5, 5, 5, 5, 5, 0, 5, 5], [5, 5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 5, 0, 0, 5, 0, 0, 5, 5], [0, 0, 0, 0, 0, 5, 0, 0, 0, 5, 0, 5, 5, 5, 5, 0, 5, 0, 0, 0], [5, 0, 0, 0, 0, 5, 5, 5, 5, 0, 5, 0, 5, 0, 5, 5, 0, 0, 5, 5], [0, 5, 5, 5, 0, 0, 0, 0, 5, 0, 5, 0, 5, 5, 5, 0, 5, 5, 0, 0], [5, 0, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 5, 5, 5, 0, 5, 5, 5, 0], [0, 0, 0, 5, 5, 5, 5, 0, 5, 0, 5, 5, 5, 0, 5, 0, 5, 0, 0, 5], [0, 5, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 5, 0, 0, 5, 0, 0, 5, 5], [5, 0, 5, 0, 0, 5, 5, 5, 5, 0, 5, 5, 5, 0, 5, 5, 0, 0, 0, 5], [0, 0, 5, 5, 0, 5, 5, 5, 5, 0, 0, 0, 5, 0, 5, 5, 0, 0, 0, 0], [0, 0, 0, 5, 0, 0, 5, 0, 0, 5, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5], [0, 7, 7, 7, 7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 0, 7, 0, 7, 7], [0, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 0, 7, 7], [0, 7, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7, 7, 7, 7, 0, 0, 7, 7, 7], [7, 7, 0, 7, 0, 7, 0, 0, 7, 7, 0, 0, 7, 7, 0, 7, 7, 7, 7, 7], [0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 7, 7, 7, 7, 7], [7, 0, 0, 7, 0, 7, 7, 0, 0, 7, 0, 7, 0, 0, 7, 7, 7, 7, 7, 7], [0, 0, 7, 7, 0, 0, 7, 7, 7, 7, 0, 0, 7, 0, 7, 0, 7, 7, 7, 7], [0, 0, 7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 0, 0, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 7, 7, 0, 7, 7], [7, 0, 7, 0, 0, 0, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 0, 0, 7, 0], [0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7], [0, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 7, 0, 7, 0, 0, 7], [0, 7, 7, 7, 7, 0, 0, 7, 7, 7, 0, 7, 7, 0, 0, 0, 0, 0, 7, 0], [7, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 7, 7, 7], [7, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0], [7, 0, 0, 0, 7, 7, 0, 0, 0, 7, 0, 0, 7, 7, 0, 7, 7, 7, 0, 7], [7, 0, 0, 0, 0, 7, 7, 7, 0, 0, 7, 0, 7, 7, 0, 7, 0, 0, 0, 7], [7, 7, 7, 0, 0, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 0, 0, 0, 0, 0], [7, 0, 7, 0, 7, 7, 0, 0, 7, 7, 0, 7, 0, 0, 7, 7, 7, 0, 0, 7], [0, 0, 7, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 7, 7]] -> [[0, 9, 9, 9, 0, 0, 0, 9, 9, 0, 0, 9, 9, 9, 0, 0, 0, 0, 9, 9], [0, 9, 0, 0, 0, 0, 9, 0, 9, 9, 0, 9, 9, 9, 0, 9, 0, 9, 0, 9], [0, 9, 0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 9, 9, 9, 0, 0, 9, 0, 9], [9, 9, 0, 9, 0, 9, 0, 0, 9, 9, 0, 9, 0, 9, 0, 9, 9, 9, 9, 9], [0, 9, 0, 0, 9, 0, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9], [9, 9, 0, 9, 0, 9, 9, 0, 0, 9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 9], [0, 0, 9, 9, 0, 0, 0, 9, 9, 9, 0, 9, 0, 9, 0, 0, 9, 9, 9, 9], [0, 0, 0, 0, 9, 9, 0, 9, 0, 0, 0, 9, 0, 0, 0, 9, 9, 9, 0, 9], [9, 9, 0, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0, 9, 0, 9, 9, 9, 9, 9], [0, 9, 9, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 0, 9, 9], [0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9, 9, 0, 0, 9, 0, 0, 0, 9], [0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 9, 0, 9, 0, 0, 9], [0, 9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 9, 9, 0, 0, 9, 0, 0, 9, 9], [0, 9, 0, 9, 0, 0, 0, 9, 0, 0, 0, 9, 0, 9, 0, 0, 0, 9, 0, 9], [9, 0, 0, 9, 0, 9, 0, 0, 9, 9, 0, 0, 0, 9, 9, 9, 9, 9, 0, 0], [0, 0, 0, 9, 9, 9, 0, 0, 0, 9, 0, 9, 9, 9, 0, 9, 9, 9, 0, 9], [0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0, 9], [9, 9, 9, 0, 0, 9, 9, 9, 9, 9, 9, 9, 0, 9, 9, 9, 0, 0, 0, 9], [0, 0, 9, 9, 0, 9, 0, 9, 9, 9, 0, 9, 0, 0, 9, 9, 0, 0, 0, 9], [0, 0, 0, 9, 0, 9, 9, 0, 0, 9, 0, 0, 0, 0, 9, 9, 9, 0, 9, 9]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 7, 7, 7, 0, 7, 7, 7, 7, 0, 0, 0, 7, 0, 0, 0, 7, 7, 0], [7, 7, 7, 0, 7, 0, 7, 7, 0, 0, 7, 0, 0, 7, 7, 0, 7, 7, 0, 0], [7, 7, 7, 7, 7, 0, 7, 7, 0, 0, 7, 7, 7, 0, 7, 0, 0, 7, 7, 7], [0, 0, 0, 7, 0, 7, 0, 7, 0, 7, 7, 0, 0, 0, 0, 0, 7, 0, 0, 7], [0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 0, 7, 7, 7, 7, 0, 0, 7, 7], [0, 7, 7, 0, 0, 7, 7, 7, 7, 0, 7, 0, 7, 7, 0, 7, 0, 0, 0, 0], [7, 7, 0, 0, 7, 7, 7, 0, 0, 7, 0, 7, 0, 7, 7, 7, 0, 0, 7, 0], [7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 0, 7, 0, 0, 7], [0, 0, 0, 7, 0, 0, 7, 0, 7, 0, 7, 0, 0, 7, 0, 0, 0, 7, 7, 0], [0, 7, 7, 7, 7, 7, 0, 0, 7, 0, 0, 7, 0, 0, 0, 7, 7, 7, 0, 7], [0, 7, 7, 7, 0, 7, 7, 0, 0, 0, 7, 7, 0, 0, 7, 7, 7, 0, 0, 7], [0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7, 7, 0, 0, 7], [0, 7, 7, 0, 0, 0, 0, 7, 7, 7, 0, 7, 0, 7, 0, 7, 0, 0, 0, 0], [0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0], [7, 7, 7, 0, 7, 0, 0, 7, 0, 7, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0], [0, 7, 7, 7, 0, 7, 0, 0, 7, 7, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7], [0, 7, 7, 7, 0, 7, 7, 7, 7, 0, 0, 0, 7, 7, 0, 0, 0, 7, 7, 0], [0, 0, 7, 7, 0, 7, 7, 0, 7, 0, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0], [0, 7, 7, 0, 0, 0, 7, 7, 0, 0, 0, 7, 0, 7, 0, 7, 7, 0, 0, 7], [7, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 7, 0]] -> [[0, 0, 0, 9, 0, 0, 0, 9, 0, 9, 0, 0, 0, 9, 0, 0, 0, 9, 0, 0], [0, 9, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 9, 0, 0, 0, 9, 0, 0], [0, 9, 0, 9, 0, 0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 0, 0, 9, 0, 9], [0, 0, 0, 9, 0, 9, 0, 9, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9], [0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 0, 0, 9, 0, 9, 0, 0, 0, 9], [0, 9, 0, 0, 0, 9, 0, 9, 0, 0, 0, 0, 0, 9, 0, 9, 0, 0, 0, 0], [0, 9, 0, 0, 0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9, 0, 0, 0, 0], [0, 0, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 0, 0, 0, 0, 9], [0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 9, 0, 0], [0, 9, 0, 9, 0, 9, 0, 0, 0, 0, 0, 9, 0, 0, 0, 9, 0, 9, 0, 9], [0, 9, 0, 9, 0, 9, 0, 0, 0, 0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 9], [0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 9, 0, 9, 0, 0, 0, 9], [0, 9, 0, 0, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 0, 0, 0], [0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 9, 0, 0, 0, 0, 0, 9, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 9, 0, 9, 0, 9, 0, 0, 0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9], [0, 9, 0, 9, 0, 9, 0, 9, 0, 0, 0, 0, 0, 9, 0, 0, 0, 9, 0, 0], [0, 0, 0, 9, 0, 9, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 9, 0, 0], [0, 9, 0, 0, 0, 0, 0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 0, 0, 9], [0, 0, 0, 9, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 9, 0, 0]]\nExample input-output arrays:\n[[5, 0, 0, 0, 5, 5, 0, 5, 5, 0, 0, 0, 5, 0, 0, 0, 5, 5, 5, 0], [5, 0, 0, 0, 5, 5, 5, 5, 0, 5, 5, 0, 0, 0, 5, 0, 0, 0, 5, 5], [5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 0, 5, 5, 5, 5, 5, 0], [5, 5, 5, 0, 5, 5, 5, 5, 0, 5, 0, 0, 0, 0, 0, 0, 5, 5, 0, 5], [5, 5, 5, 5, 0, 0, 5, 0, 0, 0, 5, 5, 5, 0, 5, 0, 0, 5, 5, 5], [5, 0, 5, 0, 5, 5, 5, 5, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 0, 5], [0, 5, 5, 5, 5, 0, 5, 0, 0, 5, 0, 5, 0, 5, 5, 0, 0, 5, 0, 0], [0, 0, 5, 5, 0, 5, 0, 0, 5, 5, 0, 0, 5, 5, 5, 0, 5, 5, 0, 0], [5, 5, 5, 5, 0, 0, 5, 0, 5, 0, 0, 5, 0, 0, 5, 5, 5, 5, 0, 5], [0, 0, 5, 5, 5, 0, 0, 5, 0, 5, 5, 5, 0, 5, 5, 5, 5, 5, 5, 5], [5, 0, 0, 5, 0, 5, 0, 0, 0, 0, 5, 0, 5, 0, 0, 0, 0, 0, 5, 5], [0, 5, 5, 5, 0, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 5, 0, 0, 0, 0], [0, 5, 0, 0, 0, 5, 5, 5, 5, 0, 0, 5, 0, 5, 5, 0, 5, 0, 0, 0], [0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 0, 5, 0, 0, 5, 0], [0, 5, 5, 5, 0, 5, 0, 0, 0, 5, 5, 0, 0, 0, 0, 5, 5, 5, 0, 0], [0, 0, 0, 5, 5, 0, 0, 5, 0, 5, 0, 5, 0, 5, 5, 0, 0, 0, 5, 0], [5, 0, 0, 5, 0, 5, 5, 0, 5, 5, 5, 0, 5, 0, 5, 5, 0, 5, 5, 5], [5, 5, 0, 0, 0, 5, 0, 5, 5, 5, 5, 5, 0, 0, 0, 0, 5, 0, 0, 5], [5, 5, 0, 5, 0, 0, 0, 5, 5, 0, 0, 0, 0, 5, 5, 0, 0, 5, 0, 5], [5, 0, 5, 0, 5, 0, 5, 5, 5, 0, 5, 5, 0, 5, 5, 5, 5, 5, 5, 0], [0, 0, 7, 7, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 7], [7, 7, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 7, 7, 7, 0, 7, 0, 0, 7], [0, 0, 7, 0, 0, 7, 0, 7, 0, 0, 7, 0, 7, 7, 7, 7, 0, 0, 0, 7], [7, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 7, 7], [0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7, 7, 0, 7, 7], [0, 0, 7, 7, 0, 0, 7, 0, 0, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 0], [0, 0, 7, 0, 7, 7, 0, 0, 0, 7, 7, 0, 7, 7, 7, 0, 7, 0, 7, 0], [0, 7, 7, 7, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 7, 7, 7, 7, 0], [0, 0, 0, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 7, 0, 0, 0], [7, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 7, 7, 7, 0, 7, 0, 7], [7, 0, 0, 0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 7, 7, 0, 7, 0, 7, 0], [0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 7, 7, 7, 7, 0, 0, 7, 7], [0, 7, 0, 0, 7, 7, 0, 7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 7], [7, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 0, 7, 7, 7, 7, 0, 0, 7, 7], [7, 7, 0, 0, 7, 7, 7, 7, 7, 0, 0, 7, 0, 7, 7, 7, 0, 0, 0, 7], [7, 0, 0, 7, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7, 0, 0], [0, 0, 0, 0, 7, 0, 7, 7, 0, 7, 0, 7, 7, 7, 0, 7, 0, 0, 0, 7], [7, 7, 0, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 7, 7, 7, 0, 0], [0, 7, 7, 7, 7, 0, 7, 7, 0, 0, 7, 7, 7, 0, 7, 7, 0, 0, 7, 7], [0, 7, 7, 0, 7, 0, 7, 0, 7, 7, 0, 7, 0, 0, 7, 0, 7, 7, 7, 0]] -> [[0, 0, 0, 9, 0, 9, 0, 9, 0, 0, 0, 0, 9, 9, 0, 9, 0, 9, 0, 9], [9, 9, 0, 9, 9, 9, 9, 9, 0, 9, 0, 9, 0, 9, 9, 0, 0, 0, 0, 9], [0, 0, 0, 0, 0, 9, 0, 9, 0, 0, 9, 0, 0, 9, 9, 9, 0, 9, 0, 9], [9, 9, 9, 0, 0, 9, 0, 9, 0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9], [0, 9, 9, 9, 0, 0, 0, 0, 0, 0, 9, 9, 0, 9, 0, 9, 0, 9, 9, 9], [0, 0, 9, 9, 0, 9, 9, 9, 0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9], [0, 9, 9, 9, 9, 9, 0, 0, 0, 9, 0, 9, 0, 9, 9, 0, 0, 9, 0, 0], [0, 9, 9, 9, 0, 9, 0, 0, 9, 9, 0, 0, 0, 9, 0, 9, 9, 9, 0, 0], [0, 9, 0, 9, 0, 9, 9, 0, 9, 9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 9], [0, 9, 9, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 9, 0, 9], [9, 0, 0, 9, 0, 9, 0, 0, 0, 0, 9, 9, 0, 9, 0, 0, 0, 0, 9, 9], [0, 9, 0, 9, 0, 9, 0, 0, 0, 9, 9, 0, 9, 9, 9, 9, 0, 0, 0, 9], [0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 9, 0, 9, 0, 0, 9], [0, 0, 0, 9, 0, 9, 0, 0, 9, 9, 0, 9, 0, 9, 0, 9, 0, 0, 9, 9], [0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9], [0, 0, 0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 9, 0, 0], [0, 0, 0, 9, 0, 9, 9, 9, 0, 9, 0, 9, 9, 9, 0, 9, 0, 9, 0, 9], [9, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9, 0, 0, 0, 9, 9, 9, 0, 9], [0, 9, 0, 9, 0, 0, 0, 9, 0, 0, 0, 9, 0, 9, 9, 9, 0, 9, 0, 9], [0, 9, 9, 0, 9, 0, 9, 9, 9, 9, 0, 9, 0, 9, 9, 9, 9, 9, 9, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[5, 5, 5, 5, 0, 5, 0, 5, 0, 5, 5, 5, 5, 0, 5, 5, 5, 0, 0, 5], [0, 0, 5, 5, 0, 5, 5, 0, 5, 5, 5, 0, 0, 0, 0, 5, 0, 5, 0, 5], [5, 5, 0, 5, 5, 5, 0, 0, 5, 0, 5, 5, 0, 0, 5, 5, 0, 0, 0, 5], [0, 5, 5, 5, 0, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 0, 0, 0, 0], [0, 5, 5, 5, 0, 0, 0, 0, 5, 5, 0, 0, 5, 0, 0, 5, 5, 0, 5, 5], [0, 0, 0, 5, 0, 5, 5, 5, 5, 0, 0, 5, 5, 5, 5, 0, 0, 5, 0, 5], [5, 0, 5, 0, 0, 0, 5, 5, 0, 5, 0, 0, 5, 0, 0, 5, 0, 5, 0, 5], [0, 0, 5, 0, 0, 5, 0, 5, 5, 5, 0, 5, 0, 0, 5, 5, 0, 0, 0, 5], [5, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 5, 5, 0, 5, 0, 5, 0, 0, 5], [5, 5, 5, 5, 5, 5, 0, 5, 0, 5, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 5, 5, 0, 5, 5, 0, 0, 5], [0, 5, 5, 0, 5, 0, 0, 0, 0, 5, 0, 5, 5, 5, 5, 5, 0, 0, 5, 5], [0, 5, 5, 5, 0, 0, 0, 5, 5, 0, 5, 5, 0, 5, 5, 0, 5, 0, 0, 5], [5, 5, 5, 5, 5, 5, 5, 0, 0, 5, 0, 0, 5, 5, 0, 0, 0, 0, 0, 5], [5, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 0, 0, 0, 0, 0], [5, 5, 5, 0, 5, 0, 0, 0, 5, 0, 0, 5, 0, 0, 5, 0, 5, 5, 5, 0], [0, 5, 0, 0, 5, 0, 0, 0, 0, 5, 0, 5, 0, 5, 0, 5, 5, 0, 5, 0], [0, 0, 5, 5, 0, 0, 5, 0, 0, 5, 5, 5, 5, 5, 0, 5, 5, 0, 0, 0], [0, 0, 5, 0, 0, 5, 0, 0, 5, 5, 0, 5, 0, 0, 5, 0, 0, 0, 0, 0], [5, 0, 5, 5, 0, 0, 0, 5, 5, 5, 5, 0, 5, 0, 0, 0, 0, 5, 0, 5], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7]] -> ",
+                "test": {
+                    "input": [
+                        [
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+                        ]
+                    ],
+                    "output": [
+                        [
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+                }
+            },
+            "Replicate 3": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 5, 5, 5, 5, 0, 0, 0, 5, 5, 5, 0, 5, 0, 0, 0], [5, 5, 5, 0, 5, 5, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 5], [0, 5, 5, 5, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0], [0, 0, 5, 0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 0, 0, 0, 0, 5, 5, 5], [0, 0, 5, 0, 0, 0, 0, 5, 5, 5, 0, 5, 0, 0, 5, 0, 5, 0, 0, 5], [0, 0, 5, 5, 0, 0, 5, 0, 0, 5, 0, 0, 5, 0, 5, 0, 5, 0, 5, 5], [5, 0, 5, 5, 0, 0, 5, 5, 0, 0, 5, 0, 5, 5, 0, 0, 5, 0, 5, 5], [5, 0, 0, 5, 5, 0, 5, 0, 5, 5, 5, 0, 5, 0, 0, 5, 5, 5, 0, 5], [5, 0, 5, 5, 5, 5, 5, 0, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 5], [0, 0, 5, 5, 0, 5, 0, 0, 0, 5, 5, 0, 0, 5, 5, 0, 0, 5, 0, 0], [5, 0, 5, 0, 0, 5, 5, 0, 5, 5, 5, 0, 0, 5, 5, 5, 5, 0, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 0, 5, 5, 5, 5, 5, 0, 5, 5, 0, 0, 0], [5, 5, 5, 5, 5, 0, 5, 0, 5, 5, 0, 5, 5, 5, 0, 5, 0, 0, 5, 0], [0, 5, 5, 5, 0, 5, 5, 0, 5, 5, 5, 0, 5, 0, 5, 0, 5, 5, 5, 5], [5, 5, 5, 0, 0, 0, 5, 5, 5, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 5], [0, 0, 5, 0, 5, 5, 5, 0, 5, 5, 0, 5, 5, 0, 0, 5, 0, 0, 0, 0], [0, 0, 0, 5, 0, 5, 0, 5, 5, 5, 5, 0, 5, 0, 0, 5, 0, 5, 5, 0], [0, 0, 5, 5, 0, 5, 0, 5, 0, 0, 0, 5, 5, 5, 5, 5, 0, 0, 0, 5], [0, 0, 5, 5, 0, 5, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 5, 5, 0], [5, 5, 5, 0, 5, 5, 5, 5, 0, 0, 5, 5, 0, 5, 0, 0, 5, 0, 5, 5], [7, 0, 7, 7, 0, 7, 0, 7, 7, 0, 0, 0, 0, 7, 7, 0, 7, 7, 0, 0], [7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7, 0, 0, 0, 7, 7, 0, 7, 0, 0], [0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 0, 7, 0, 0, 7, 7], [7, 0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0], [7, 0, 7, 7, 0, 0, 7, 0, 7, 7, 7, 7, 7, 0, 0, 0, 0, 7, 7, 0], [0, 0, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 0, 0, 7, 0, 0], [0, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 0, 7, 7, 0, 0, 7, 7, 7], [7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0], [7, 7, 0, 7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 0], [7, 7, 0, 0, 7, 0, 7, 7, 0, 0, 0, 7, 7, 7, 0, 7, 0, 7, 7, 0], [7, 7, 7, 0, 0, 7, 0, 0, 0, 7, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0], [0, 7, 7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 7, 7, 0, 7], [0, 0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 0, 7, 7, 7, 0, 0, 0, 7, 0], [0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 7, 7, 7, 7, 7, 0], [0, 0, 0, 0, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 0], [7, 7, 7, 7, 0, 0, 7, 0, 7, 7, 0, 7, 7, 0, 0, 7, 0, 7, 0, 0], [0, 7, 7, 7, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 7, 7, 0, 7], [0, 7, 7, 7, 0, 7, 7, 0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0], [7, 0, 0, 0, 7, 7, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0, 0], [7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7, 0, 0, 7, 0, 7, 0, 7]] -> [[0, 0, 0, 9, 0, 9, 0, 9, 9, 0, 0, 0, 0, 9, 9, 0, 9, 9, 0, 0], [9, 9, 9, 0, 9, 9, 0, 0, 0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9], [0, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9], [0, 0, 9, 9, 0, 0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 0, 0, 9, 9, 9], [0, 0, 9, 9, 0, 0, 0, 9, 9, 9, 0, 9, 0, 0, 0, 0, 0, 9, 0, 9], [0, 0, 9, 9, 0, 9, 0, 9, 0, 9, 0, 9, 9, 0, 0, 0, 0, 9, 0, 9], [0, 0, 9, 9, 0, 0, 9, 9, 0, 0, 9, 0, 0, 9, 0, 0, 0, 9, 9, 9], [9, 0, 0, 9, 9, 0, 0, 0, 0, 9, 9, 9, 0, 0, 0, 9, 0, 9, 0, 9], [9, 9, 0, 9, 0, 9, 9, 9, 0, 9, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9], [0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 0], [9, 9, 9, 0, 0, 9, 0, 0, 0, 9, 9, 9, 0, 9, 9, 9, 0, 0, 0, 9], [0, 9, 9, 9, 9, 9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 9, 9, 9, 0, 9], [0, 9, 9, 9, 9, 0, 0, 9, 0, 9, 0, 9, 9, 9, 0, 9, 0, 0, 9, 0], [0, 9, 0, 9, 0, 9, 9, 0, 0, 9, 0, 9, 0, 0, 9, 9, 9, 9, 9, 9], [0, 9, 0, 0, 0, 9, 9, 9, 0, 9, 0, 9, 9, 9, 0, 0, 0, 9, 0, 9], [0, 9, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 0, 9, 0, 9, 0, 0], [0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 9, 0, 0, 0, 0, 9, 0, 9, 0, 9], [0, 9, 9, 9, 0, 9, 0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9], [0, 0, 0, 9, 0, 9, 0, 9, 9, 9, 9, 9, 0, 9, 0, 9, 0, 9, 0, 0], [9, 9, 9, 9, 9, 9, 9, 9, 0, 9, 9, 9, 0, 9, 0, 9, 0, 9, 0, 9]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [7, 7, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 7, 0, 7, 0, 0, 0, 7], [7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0], [0, 7, 0, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7, 7, 0, 0], [7, 0, 7, 0, 0, 7, 0, 7, 7, 0, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7], [0, 7, 7, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 7, 7, 0, 0, 7, 7, 0], [7, 7, 0, 7, 0, 0, 7, 7, 0, 0, 7, 0, 7, 7, 7, 0, 0, 0, 7, 7], [0, 0, 0, 7, 7, 0, 7, 0, 0, 0, 7, 0, 7, 0, 7, 7, 7, 0, 0, 0], [0, 7, 0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 7, 7, 7, 7, 7, 0, 0, 7], [0, 0, 7, 7, 7, 7, 7, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0], [7, 0, 0, 7, 0, 7, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0, 0, 7], [7, 0, 0, 0, 0, 7, 7, 7, 0, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 0], [0, 0, 7, 0, 0, 7, 7, 0, 7, 0, 7, 7, 7, 7, 0, 7, 0, 0, 0, 0], [0, 7, 7, 7, 7, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7], [7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0], [0, 0, 0, 7, 7, 7, 0, 0, 0, 7, 0, 0, 0, 7, 7, 7, 0, 7, 7, 7], [0, 0, 7, 0, 0, 7, 7, 0, 7, 0, 0, 0, 0, 7, 7, 0, 7, 7, 0, 7], [7, 0, 0, 7, 7, 0, 0, 0, 0, 7, 7, 7, 7, 7, 0, 0, 0, 7, 0, 7], [0, 0, 7, 0, 7, 0, 0, 0, 7, 7, 7, 7, 7, 0, 0, 0, 7, 7, 7, 7], [7, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0, 7, 0, 0, 7, 0, 0, 7], [7, 0, 7, 7, 0, 7, 0, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 7, 0, 7]] -> [[9, 9, 9, 9, 0, 9, 9, 9, 9, 9, 0, 9, 9, 9, 0, 9, 0, 9, 0, 9], [9, 9, 0, 9, 9, 9, 0, 9, 9, 9, 0, 9, 0, 9, 9, 9, 0, 9, 0, 9], [0, 9, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 9], [9, 9, 9, 9, 0, 9, 0, 9, 9, 9, 0, 9, 9, 9, 9, 9, 9, 9, 0, 9], [0, 9, 9, 9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 9, 9, 9, 0, 9, 9, 9], [9, 9, 0, 9, 0, 9, 9, 9, 0, 9, 9, 9, 9, 9, 9, 9, 0, 9, 9, 9], [0, 9, 0, 9, 9, 9, 9, 9, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 9], [0, 9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 9, 9, 9, 9, 9, 9, 9, 0, 9], [0, 9, 9, 9, 9, 9, 9, 9, 0, 9, 9, 9, 9, 9, 0, 9, 0, 9, 0, 9], [9, 9, 0, 9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 9, 0, 9, 9, 9, 0, 9], [9, 9, 0, 9, 0, 9, 9, 9, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [0, 9, 9, 9, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 9, 0, 9, 0, 9], [0, 9, 9, 9, 9, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 9, 0, 9, 9, 9, 0, 9, 9, 9], [0, 9, 0, 9, 9, 9, 0, 9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 9, 9, 9], [0, 9, 9, 9, 0, 9, 9, 9, 9, 9, 0, 9, 0, 9, 9, 9, 9, 9, 0, 9], [9, 9, 0, 9, 9, 9, 0, 9, 0, 9, 9, 9, 9, 9, 0, 9, 0, 9, 0, 9], [0, 9, 9, 9, 9, 9, 0, 9, 9, 9, 9, 9, 9, 9, 0, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 9], [9, 9, 9, 9, 0, 9, 0, 9, 9, 9, 9, 9, 0, 9, 0, 9, 0, 9, 0, 9]]\nExample input-output arrays:\n[[0, 0, 0, 5, 0, 0, 5, 5, 0, 0, 5, 5, 5, 5, 0, 5, 5, 5, 5, 5], [5, 5, 5, 0, 0, 0, 5, 0, 0, 0, 5, 0, 5, 5, 0, 5, 5, 0, 0, 5], [5, 0, 0, 0, 5, 5, 0, 5, 5, 0, 5, 5, 5, 5, 0, 5, 0, 0, 5, 5], [5, 0, 5, 0, 0, 0, 5, 0, 5, 0, 5, 5, 0, 5, 0, 0, 0, 5, 0, 5], [5, 0, 5, 0, 0, 0, 5, 5, 5, 5, 5, 5, 5, 5, 0, 5, 0, 0, 5, 5], [0, 5, 5, 0, 5, 5, 0, 0, 5, 5, 0, 0, 5, 5, 0, 0, 5, 5, 5, 5], [5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 5, 0, 5, 5, 0], [0, 0, 5, 5, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 5, 5, 0, 0, 5, 5], [5, 5, 0, 0, 0, 0, 0, 5, 0, 5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 0], [0, 0, 0, 5, 0, 5, 5, 0, 5, 0, 0, 5, 0, 5, 0, 0, 0, 5, 5, 0], [5, 0, 5, 5, 0, 5, 0, 0, 5, 0, 0, 0, 0, 5, 5, 0, 5, 0, 0, 0], [0, 0, 0, 5, 5, 0, 0, 0, 0, 5, 0, 0, 0, 5, 5, 5, 5, 0, 5, 0], [5, 0, 5, 5, 5, 5, 0, 5, 0, 5, 0, 0, 0, 0, 0, 5, 0, 5, 0, 5], [0, 0, 5, 5, 0, 0, 5, 0, 0, 5, 5, 5, 0, 5, 0, 5, 5, 5, 5, 5], [5, 5, 0, 5, 0, 0, 0, 5, 5, 5, 5, 0, 0, 5, 5, 0, 0, 0, 0, 0], [5, 5, 0, 0, 5, 0, 0, 5, 5, 5, 0, 5, 0, 0, 5, 5, 5, 5, 0, 0], [0, 5, 5, 5, 0, 0, 5, 5, 0, 5, 0, 0, 5, 5, 5, 0, 5, 5, 0, 0], [0, 0, 5, 5, 5, 0, 5, 0, 5, 0, 5, 0, 5, 0, 5, 5, 0, 0, 0, 0], [0, 0, 5, 5, 0, 0, 0, 0, 5, 0, 0, 5, 5, 0, 0, 5, 5, 5, 0, 5], [0, 0, 5, 5, 5, 5, 5, 5, 0, 5, 5, 0, 5, 0, 5, 0, 5, 0, 5, 5], [7, 0, 0, 0, 0, 7, 0, 7, 7, 7, 7, 0, 7, 7, 7, 0, 0, 0, 0, 7], [0, 0, 7, 0, 7, 0, 0, 7, 7, 0, 7, 0, 0, 0, 0, 7, 7, 0, 0, 0], [0, 0, 7, 0, 0, 0, 0, 7, 7, 0, 0, 0, 7, 0, 7, 7, 7, 0, 7, 0], [0, 7, 7, 0, 7, 7, 0, 0, 7, 0, 7, 0, 0, 0, 0, 7, 7, 7, 7, 0], [0, 7, 7, 0, 7, 0, 7, 0, 7, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7], [0, 0, 7, 0, 0, 7, 0, 7, 7, 7, 7, 0, 0, 7, 0, 7, 7, 7, 0, 7], [7, 7, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0], [7, 7, 0, 0, 7, 0, 0, 7, 0, 7, 7, 0, 0, 0, 7, 7, 7, 7, 0, 7], [7, 0, 7, 7, 0, 7, 7, 0, 7, 0, 0, 7, 0, 7, 7, 7, 0, 0, 7, 7], [0, 7, 0, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 7, 7, 7, 7, 7], [7, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 7], [0, 7, 7, 0, 0, 7, 0, 0, 0, 7, 7, 0, 0, 7, 0, 7, 7, 7, 7, 0], [0, 7, 7, 7, 0, 0, 7, 7, 0, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 7], [0, 7, 0, 0, 7, 7, 7, 0, 7, 7, 7, 0, 0, 7, 0, 7, 7, 0, 0, 7], [0, 0, 0, 0, 7, 7, 7, 0, 7, 7, 0, 0, 7, 0, 7, 7, 7, 0, 7, 0], [7, 0, 0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 7, 7, 0, 7, 7, 7, 0, 7], [0, 0, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0, 7, 0, 7, 7, 7, 7, 7, 0], [7, 7, 0, 7, 7, 0, 0, 7, 0, 0, 0, 7, 7, 7, 7, 7, 0, 0, 0, 7], [7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 7, 0, 0, 7, 0, 7, 7, 7, 7, 7], [7, 7, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 0, 0, 0, 7, 7, 7, 0, 7]] -> [[0, 0, 0, 9, 0, 9, 0, 9, 0, 9, 9, 9, 9, 9, 0, 9, 0, 9, 0, 9], [0, 9, 9, 0, 0, 0, 0, 9, 0, 0, 9, 0, 0, 9, 0, 9, 9, 0, 0, 9], [0, 0, 0, 0, 0, 9, 0, 9, 9, 0, 0, 9, 9, 9, 0, 9, 0, 0, 9, 9], [0, 9, 9, 0, 0, 9, 0, 0, 9, 0, 9, 9, 0, 9, 0, 9, 0, 9, 0, 9], [0, 9, 9, 0, 0, 0, 9, 9, 9, 9, 0, 9, 0, 9, 0, 9, 0, 0, 0, 9], [0, 9, 9, 0, 0, 9, 0, 9, 9, 9, 0, 0, 0, 9, 0, 9, 9, 9, 0, 9], [9, 9, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 9, 0, 9, 0, 9, 0, 0], [0, 9, 0, 9, 0, 0, 0, 9, 0, 9, 0, 0, 0, 0, 9, 9, 0, 9, 0, 9], [9, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 9, 0, 9], [0, 9, 0, 9, 0, 9, 0, 0, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9, 9, 9], [9, 0, 0, 9, 0, 9, 0, 9, 0, 0, 0, 9, 0, 9, 0, 0, 0, 0, 0, 9], [0, 9, 0, 9, 0, 9, 0, 0, 0, 9, 0, 0, 0, 9, 0, 9, 9, 9, 9, 0], [0, 9, 9, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9], [0, 9, 0, 9, 0, 9, 9, 0, 0, 9, 9, 9, 0, 9, 0, 9, 9, 9, 0, 9], [0, 9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0], [9, 9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 9], [0, 9, 0, 9, 0, 0, 0, 9, 0, 9, 0, 0, 9, 9, 9, 9, 9, 9, 0, 0], [0, 9, 0, 9, 9, 0, 0, 9, 0, 0, 0, 9, 9, 9, 9, 9, 0, 0, 0, 9], [0, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 9, 0, 9, 0, 9, 9, 9, 0, 9], [0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 0, 0, 0, 0, 9, 9, 9, 0, 9]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [0, 0, 0, 7, 7, 7, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 7, 0, 7, 0], [7, 7, 7, 0, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 7], [0, 7, 0, 0, 7, 0, 7, 0, 7, 7, 7, 0, 0, 0, 0, 7, 0, 7, 7, 7], [7, 7, 7, 0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 7, 0, 7, 7, 0, 7, 0], [0, 7, 7, 0, 7, 0, 0, 7, 0, 0, 0, 0, 7, 7, 0, 0, 0, 7, 0, 0], [0, 0, 0, 0, 0, 7, 7, 7, 0, 7, 0, 0, 7, 0, 0, 7, 0, 7, 7, 0], [0, 7, 0, 0, 7, 0, 7, 7, 7, 7, 0, 0, 7, 7, 0, 7, 7, 0, 0, 7], [7, 0, 0, 7, 0, 0, 7, 7, 0, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7], [7, 0, 0, 0, 7, 7, 0, 0, 0, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7, 0], [0, 0, 0, 0, 0, 7, 0, 7, 0, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7], [7, 0, 7, 7, 7, 0, 0, 0, 7, 7, 7, 0, 7, 0, 0, 0, 0, 0, 7, 7], [7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 7, 7, 0, 0, 7, 0, 7, 7, 0, 0], [7, 0, 7, 0, 7, 0, 0, 7, 7, 7, 7, 7, 7, 0, 0, 7, 0, 7, 0, 0], [0, 7, 0, 0, 0, 0, 7, 0, 0, 7, 7, 0, 0, 7, 0, 7, 7, 0, 0, 0], [7, 0, 7, 0, 7, 7, 0, 7, 0, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 0], [7, 0, 0, 7, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7, 7, 7, 0, 0], [7, 7, 7, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 7], [7, 0, 7, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7, 7], [7, 0, 0, 7, 0, 7, 7, 7, 0, 7, 7, 0, 7, 0, 7, 7, 7, 0, 7, 0], [7, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 0, 0, 7, 7, 7, 7, 7, 7]] -> ",
+                "test": {
+                    "input": [
+                        [
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+            },
+            "Replicate 4": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[5, 0, 0, 0, 5, 5, 0, 5, 5, 0, 0, 0, 5, 0, 0, 0, 5, 5, 5, 0], [5, 0, 0, 0, 5, 5, 5, 5, 0, 5, 5, 0, 0, 0, 5, 0, 0, 0, 5, 5], [5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 0, 5, 5, 5, 5, 5, 0], [5, 5, 5, 0, 5, 5, 5, 5, 0, 5, 0, 0, 0, 0, 0, 0, 5, 5, 0, 5], [5, 5, 5, 5, 0, 0, 5, 0, 0, 0, 5, 5, 5, 0, 5, 0, 0, 5, 5, 5], [5, 0, 5, 0, 5, 5, 5, 5, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 0, 5], [0, 5, 5, 5, 5, 0, 5, 0, 0, 5, 0, 5, 0, 5, 5, 0, 0, 5, 0, 0], [0, 0, 5, 5, 0, 5, 0, 0, 5, 5, 0, 0, 5, 5, 5, 0, 5, 5, 0, 0], [5, 5, 5, 5, 0, 0, 5, 0, 5, 0, 0, 5, 0, 0, 5, 5, 5, 5, 0, 5], [0, 0, 5, 5, 5, 0, 0, 5, 0, 5, 5, 5, 0, 5, 5, 5, 5, 5, 5, 5], [5, 0, 0, 5, 0, 5, 0, 0, 0, 0, 5, 0, 5, 0, 0, 0, 0, 0, 5, 5], [0, 5, 5, 5, 0, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 5, 0, 0, 0, 0], [0, 5, 0, 0, 0, 5, 5, 5, 5, 0, 0, 5, 0, 5, 5, 0, 5, 0, 0, 0], [0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 0, 5, 0, 0, 5, 0], [0, 5, 5, 5, 0, 5, 0, 0, 0, 5, 5, 0, 0, 0, 0, 5, 5, 5, 0, 0], [0, 0, 0, 5, 5, 0, 0, 5, 0, 5, 0, 5, 0, 5, 5, 0, 0, 0, 5, 0], [5, 0, 0, 5, 0, 5, 5, 0, 5, 5, 5, 0, 5, 0, 5, 5, 0, 5, 5, 5], [5, 5, 0, 0, 0, 5, 0, 5, 5, 5, 5, 5, 0, 0, 0, 0, 5, 0, 0, 5], [5, 5, 0, 5, 0, 0, 0, 5, 5, 0, 0, 0, 0, 5, 5, 0, 0, 5, 0, 5], [5, 0, 5, 0, 5, 0, 5, 5, 5, 0, 5, 5, 0, 5, 5, 5, 5, 5, 5, 0], [0, 0, 7, 7, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 7], [7, 7, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 7, 7, 7, 0, 7, 0, 0, 7], [0, 0, 7, 0, 0, 7, 0, 7, 0, 0, 7, 0, 7, 7, 7, 7, 0, 0, 0, 7], [7, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 7, 7], [0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7, 7, 0, 7, 7], [0, 0, 7, 7, 0, 0, 7, 0, 0, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 0], [0, 0, 7, 0, 7, 7, 0, 0, 0, 7, 7, 0, 7, 7, 7, 0, 7, 0, 7, 0], [0, 7, 7, 7, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 7, 7, 7, 7, 0], [0, 0, 0, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 7, 0, 0, 0], [7, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 7, 7, 7, 0, 7, 0, 7], [7, 0, 0, 0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 7, 7, 0, 7, 0, 7, 0], [0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 7, 7, 7, 7, 0, 0, 7, 7], [0, 7, 0, 0, 7, 7, 0, 7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 7], [7, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 0, 7, 7, 7, 7, 0, 0, 7, 7], [7, 7, 0, 0, 7, 7, 7, 7, 7, 0, 0, 7, 0, 7, 7, 7, 0, 0, 0, 7], [7, 0, 0, 7, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7, 0, 0], [0, 0, 0, 0, 7, 0, 7, 7, 0, 7, 0, 7, 7, 7, 0, 7, 0, 0, 0, 7], [7, 7, 0, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 7, 7, 7, 0, 0], [0, 7, 7, 7, 7, 0, 7, 7, 0, 0, 7, 7, 7, 0, 7, 7, 0, 0, 7, 7], [0, 7, 7, 0, 7, 0, 7, 0, 7, 7, 0, 7, 0, 0, 7, 0, 7, 7, 7, 0]] -> [[0, 0, 0, 9, 0, 9, 0, 9, 0, 0, 0, 0, 9, 9, 0, 9, 0, 9, 0, 9], [9, 9, 0, 9, 9, 9, 9, 9, 0, 9, 0, 9, 0, 9, 9, 0, 0, 0, 0, 9], [0, 0, 0, 0, 0, 9, 0, 9, 0, 0, 9, 0, 0, 9, 9, 9, 0, 9, 0, 9], [9, 9, 9, 0, 0, 9, 0, 9, 0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9], [0, 9, 9, 9, 0, 0, 0, 0, 0, 0, 9, 9, 0, 9, 0, 9, 0, 9, 9, 9], [0, 0, 9, 9, 0, 9, 9, 9, 0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9], [0, 9, 9, 9, 9, 9, 0, 0, 0, 9, 0, 9, 0, 9, 9, 0, 0, 9, 0, 0], [0, 9, 9, 9, 0, 9, 0, 0, 9, 9, 0, 0, 0, 9, 0, 9, 9, 9, 0, 0], [0, 9, 0, 9, 0, 9, 9, 0, 9, 9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 9], [0, 9, 9, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 9, 0, 9], [9, 0, 0, 9, 0, 9, 0, 0, 0, 0, 9, 9, 0, 9, 0, 0, 0, 0, 9, 9], [0, 9, 0, 9, 0, 9, 0, 0, 0, 9, 9, 0, 9, 9, 9, 9, 0, 0, 0, 9], [0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 9, 0, 9, 0, 0, 9], [0, 0, 0, 9, 0, 9, 0, 0, 9, 9, 0, 9, 0, 9, 0, 9, 0, 0, 9, 9], [0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9], [0, 0, 0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 9, 0, 0], [0, 0, 0, 9, 0, 9, 9, 9, 0, 9, 0, 9, 9, 9, 0, 9, 0, 9, 0, 9], [9, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9, 0, 0, 0, 9, 9, 9, 0, 9], [0, 9, 0, 9, 0, 0, 0, 9, 0, 0, 0, 9, 0, 9, 9, 9, 0, 9, 0, 9], [0, 9, 9, 0, 9, 0, 9, 9, 9, 9, 0, 9, 0, 9, 9, 9, 9, 9, 9, 0]]\nExample input-output arrays:\n[[5, 0, 0, 0, 5, 5, 0, 5, 5, 0, 0, 0, 5, 0, 0, 0, 5, 5, 5, 0], [5, 0, 0, 0, 5, 5, 5, 5, 0, 5, 5, 0, 0, 0, 5, 0, 0, 0, 5, 5], [5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 0, 5, 5, 5, 5, 5, 0], [5, 5, 5, 0, 5, 5, 5, 5, 0, 5, 0, 0, 0, 0, 0, 0, 5, 5, 0, 5], [5, 5, 5, 5, 0, 0, 5, 0, 0, 0, 5, 5, 5, 0, 5, 0, 0, 5, 5, 5], [5, 0, 5, 0, 5, 5, 5, 5, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 0, 5], [0, 5, 5, 5, 5, 0, 5, 0, 0, 5, 0, 5, 0, 5, 5, 0, 0, 5, 0, 0], [0, 0, 5, 5, 0, 5, 0, 0, 5, 5, 0, 0, 5, 5, 5, 0, 5, 5, 0, 0], [5, 5, 5, 5, 0, 0, 5, 0, 5, 0, 0, 5, 0, 0, 5, 5, 5, 5, 0, 5], [0, 0, 5, 5, 5, 0, 0, 5, 0, 5, 5, 5, 0, 5, 5, 5, 5, 5, 5, 5], [5, 0, 0, 5, 0, 5, 0, 0, 0, 0, 5, 0, 5, 0, 0, 0, 0, 0, 5, 5], [0, 5, 5, 5, 0, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 5, 0, 0, 0, 0], [0, 5, 0, 0, 0, 5, 5, 5, 5, 0, 0, 5, 0, 5, 5, 0, 5, 0, 0, 0], [0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 0, 5, 0, 0, 5, 0], [0, 5, 5, 5, 0, 5, 0, 0, 0, 5, 5, 0, 0, 0, 0, 5, 5, 5, 0, 0], [0, 0, 0, 5, 5, 0, 0, 5, 0, 5, 0, 5, 0, 5, 5, 0, 0, 0, 5, 0], [5, 0, 0, 5, 0, 5, 5, 0, 5, 5, 5, 0, 5, 0, 5, 5, 0, 5, 5, 5], [5, 5, 0, 0, 0, 5, 0, 5, 5, 5, 5, 5, 0, 0, 0, 0, 5, 0, 0, 5], [5, 5, 0, 5, 0, 0, 0, 5, 5, 0, 0, 0, 0, 5, 5, 0, 0, 5, 0, 5], [5, 0, 5, 0, 5, 0, 5, 5, 5, 0, 5, 5, 0, 5, 5, 5, 5, 5, 5, 0], [0, 0, 7, 7, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 7], [7, 7, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 7, 7, 7, 0, 7, 0, 0, 7], [0, 0, 7, 0, 0, 7, 0, 7, 0, 0, 7, 0, 7, 7, 7, 7, 0, 0, 0, 7], [7, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 7, 7], [0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7, 7, 0, 7, 7], [0, 0, 7, 7, 0, 0, 7, 0, 0, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 0], [0, 0, 7, 0, 7, 7, 0, 0, 0, 7, 7, 0, 7, 7, 7, 0, 7, 0, 7, 0], [0, 7, 7, 7, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 7, 7, 7, 7, 0], [0, 0, 0, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 7, 0, 0, 0], [7, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 7, 7, 7, 0, 7, 0, 7], [7, 0, 0, 0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 7, 7, 0, 7, 0, 7, 0], [0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 7, 7, 7, 7, 0, 0, 7, 7], [0, 7, 0, 0, 7, 7, 0, 7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 7], [7, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 0, 7, 7, 7, 7, 0, 0, 7, 7], [7, 7, 0, 0, 7, 7, 7, 7, 7, 0, 0, 7, 0, 7, 7, 7, 0, 0, 0, 7], [7, 0, 0, 7, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7, 0, 0], [0, 0, 0, 0, 7, 0, 7, 7, 0, 7, 0, 7, 7, 7, 0, 7, 0, 0, 0, 7], [7, 7, 0, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 7, 7, 7, 0, 0], [0, 7, 7, 7, 7, 0, 7, 7, 0, 0, 7, 7, 7, 0, 7, 7, 0, 0, 7, 7], [0, 7, 7, 0, 7, 0, 7, 0, 7, 7, 0, 7, 0, 0, 7, 0, 7, 7, 7, 0]] -> [[0, 0, 0, 9, 0, 9, 0, 9, 0, 0, 0, 0, 9, 9, 0, 9, 0, 9, 0, 9], [9, 9, 0, 9, 9, 9, 9, 9, 0, 9, 0, 9, 0, 9, 9, 0, 0, 0, 0, 9], [0, 0, 0, 0, 0, 9, 0, 9, 0, 0, 9, 0, 0, 9, 9, 9, 0, 9, 0, 9], [9, 9, 9, 0, 0, 9, 0, 9, 0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9], [0, 9, 9, 9, 0, 0, 0, 0, 0, 0, 9, 9, 0, 9, 0, 9, 0, 9, 9, 9], [0, 0, 9, 9, 0, 9, 9, 9, 0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9], [0, 9, 9, 9, 9, 9, 0, 0, 0, 9, 0, 9, 0, 9, 9, 0, 0, 9, 0, 0], [0, 9, 9, 9, 0, 9, 0, 0, 9, 9, 0, 0, 0, 9, 0, 9, 9, 9, 0, 0], [0, 9, 0, 9, 0, 9, 9, 0, 9, 9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 9], [0, 9, 9, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 9, 0, 9], [9, 0, 0, 9, 0, 9, 0, 0, 0, 0, 9, 9, 0, 9, 0, 0, 0, 0, 9, 9], [0, 9, 0, 9, 0, 9, 0, 0, 0, 9, 9, 0, 9, 9, 9, 9, 0, 0, 0, 9], [0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 9, 0, 9, 0, 0, 9], [0, 0, 0, 9, 0, 9, 0, 0, 9, 9, 0, 9, 0, 9, 0, 9, 0, 0, 9, 9], [0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9], [0, 0, 0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 9, 0, 0], [0, 0, 0, 9, 0, 9, 9, 9, 0, 9, 0, 9, 9, 9, 0, 9, 0, 9, 0, 9], [9, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9, 0, 0, 0, 9, 9, 9, 0, 9], [0, 9, 0, 9, 0, 0, 0, 9, 0, 0, 0, 9, 0, 9, 9, 9, 0, 9, 0, 9], [0, 9, 9, 0, 9, 0, 9, 9, 9, 9, 0, 9, 0, 9, 9, 9, 9, 9, 9, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[5, 5, 5, 5, 0, 5, 0, 5, 0, 5, 5, 5, 5, 0, 5, 5, 5, 0, 0, 5], [0, 0, 5, 5, 0, 5, 5, 0, 5, 5, 5, 0, 0, 0, 0, 5, 0, 5, 0, 5], [5, 5, 0, 5, 5, 5, 0, 0, 5, 0, 5, 5, 0, 0, 5, 5, 0, 0, 0, 5], [0, 5, 5, 5, 0, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 0, 0, 0, 0], [0, 5, 5, 5, 0, 0, 0, 0, 5, 5, 0, 0, 5, 0, 0, 5, 5, 0, 5, 5], [0, 0, 0, 5, 0, 5, 5, 5, 5, 0, 0, 5, 5, 5, 5, 0, 0, 5, 0, 5], [5, 0, 5, 0, 0, 0, 5, 5, 0, 5, 0, 0, 5, 0, 0, 5, 0, 5, 0, 5], [0, 0, 5, 0, 0, 5, 0, 5, 5, 5, 0, 5, 0, 0, 5, 5, 0, 0, 0, 5], [5, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 5, 5, 0, 5, 0, 5, 0, 0, 5], [5, 5, 5, 5, 5, 5, 0, 5, 0, 5, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 5, 5, 0, 5, 5, 0, 0, 5], [0, 5, 5, 0, 5, 0, 0, 0, 0, 5, 0, 5, 5, 5, 5, 5, 0, 0, 5, 5], [0, 5, 5, 5, 0, 0, 0, 5, 5, 0, 5, 5, 0, 5, 5, 0, 5, 0, 0, 5], [5, 5, 5, 5, 5, 5, 5, 0, 0, 5, 0, 0, 5, 5, 0, 0, 0, 0, 0, 5], [5, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 0, 0, 0, 0, 0], [5, 5, 5, 0, 5, 0, 0, 0, 5, 0, 0, 5, 0, 0, 5, 0, 5, 5, 5, 0], [0, 5, 0, 0, 5, 0, 0, 0, 0, 5, 0, 5, 0, 5, 0, 5, 5, 0, 5, 0], [0, 0, 5, 5, 0, 0, 5, 0, 0, 5, 5, 5, 5, 5, 0, 5, 5, 0, 0, 0], [0, 0, 5, 0, 0, 5, 0, 0, 5, 5, 0, 5, 0, 0, 5, 0, 0, 0, 0, 0], [5, 0, 5, 5, 0, 0, 0, 5, 5, 5, 5, 0, 5, 0, 0, 0, 0, 5, 0, 5], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7]] -> ",
+                "test": {
+                    "input": [
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+        "L1": {
+            "Replicate 0": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 2, 0, 2, 0, 0, 0, 0, 2, 0], [0, 2, 2, 2, 2, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 2, 0, 0, 2], [2, 2, 0, 2, 2, 2, 0, 2, 0, 2], [2, 2, 0, 0, 0, 2, 2, 0, 2, 0], [2, 0, 2, 0, 0, 0, 2, 2, 0, 0], [0, 2, 2, 2, 2, 0, 0, 2, 2, 0], [2, 0, 2, 2, 2, 0, 0, 0, 2, 0], [2, 2, 2, 2, 0, 0, 0, 0, 2, 0], [2, 0, 2, 0, 0, 0, 2, 2, 0, 2], [4, 0, 4, 0, 4, 0, 0, 4, 4, 0], [4, 0, 4, 4, 4, 4, 4, 0, 0, 0], [4, 0, 4, 0, 4, 4, 0, 4, 0, 0], [4, 0, 0, 4, 0, 4, 0, 0, 4, 0], [0, 4, 0, 0, 4, 0, 4, 4, 0, 0], [0, 0, 4, 0, 0, 0, 4, 0, 4, 0], [0, 0, 0, 4, 4, 4, 4, 0, 4, 0], [4, 4, 0, 0, 0, 0, 0, 0, 0, 0], [4, 4, 0, 0, 4, 0, 0, 4, 4, 0], [0, 4, 4, 4, 4, 0, 4, 0, 0, 0]] -> [[6, 6, 6, 6, 6, 0, 0, 6, 6, 0], [6, 6, 6, 0, 6, 6, 6, 0, 0, 0], [6, 6, 6, 0, 6, 6, 6, 6, 0, 6], [6, 6, 0, 0, 6, 0, 0, 6, 6, 6], [6, 0, 0, 0, 6, 6, 6, 6, 6, 0], [6, 0, 6, 0, 0, 0, 6, 6, 6, 0], [0, 6, 6, 0, 6, 6, 6, 6, 6, 0], [6, 6, 6, 6, 6, 0, 0, 0, 6, 0], [6, 0, 6, 6, 6, 0, 0, 6, 6, 0], [6, 6, 6, 6, 6, 0, 6, 6, 0, 6]]\nExample input-output arrays:\n[[0, 2, 0, 2, 0, 0, 0, 0, 2, 0], [0, 2, 2, 2, 2, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 2, 0, 0, 2], [2, 2, 0, 2, 2, 2, 0, 2, 0, 2], [2, 2, 0, 0, 0, 2, 2, 0, 2, 0], [2, 0, 2, 0, 0, 0, 2, 2, 0, 0], [0, 2, 2, 2, 2, 0, 0, 2, 2, 0], [2, 0, 2, 2, 2, 0, 0, 0, 2, 0], [2, 2, 2, 2, 0, 0, 0, 0, 2, 0], [2, 0, 2, 0, 0, 0, 2, 2, 0, 2], [4, 0, 4, 0, 4, 0, 0, 4, 4, 0], [4, 0, 4, 4, 4, 4, 4, 0, 0, 0], [4, 0, 4, 0, 4, 4, 0, 4, 0, 0], [4, 0, 0, 4, 0, 4, 0, 0, 4, 0], [0, 4, 0, 0, 4, 0, 4, 4, 0, 0], [0, 0, 4, 0, 0, 0, 4, 0, 4, 0], [0, 0, 0, 4, 4, 4, 4, 0, 4, 0], [4, 4, 0, 0, 0, 0, 0, 0, 0, 0], [4, 4, 0, 0, 4, 0, 0, 4, 4, 0], [0, 4, 4, 4, 4, 0, 4, 0, 0, 0]] -> [[6, 6, 6, 6, 6, 0, 0, 6, 6, 0], [6, 6, 6, 0, 6, 6, 6, 0, 0, 0], [6, 6, 6, 0, 6, 6, 6, 6, 0, 6], [6, 6, 0, 0, 6, 0, 0, 6, 6, 6], [6, 0, 0, 0, 6, 6, 6, 6, 6, 0], [6, 0, 6, 0, 0, 0, 6, 6, 6, 0], [0, 6, 6, 0, 6, 6, 6, 6, 6, 0], [6, 6, 6, 6, 6, 0, 0, 0, 6, 0], [6, 0, 6, 6, 6, 0, 0, 6, 6, 0], [6, 6, 6, 6, 6, 0, 6, 6, 0, 6]]\nExample input-output arrays:\n[[0, 0, 2, 0, 0, 0, 2, 0, 2, 0], [0, 0, 0, 2, 0, 2, 0, 0, 0, 0], [0, 0, 2, 2, 2, 2, 0, 2, 2, 0], [2, 0, 0, 2, 0, 2, 0, 0, 0, 2], [0, 0, 2, 0, 2, 0, 0, 0, 0, 0], [0, 2, 2, 2, 2, 0, 2, 0, 0, 2], [2, 2, 2, 0, 2, 2, 2, 0, 0, 2], [0, 0, 2, 2, 2, 0, 2, 2, 2, 2], [0, 2, 2, 2, 0, 0, 0, 0, 2, 0], [2, 0, 0, 0, 0, 2, 2, 0, 2, 0], [0, 0, 0, 4, 4, 0, 0, 0, 0, 0], [0, 4, 0, 4, 0, 0, 0, 4, 0, 0], [0, 4, 4, 0, 4, 0, 0, 0, 4, 0], [4, 4, 0, 4, 0, 0, 4, 0, 4, 4], [4, 4, 0, 4, 4, 0, 0, 0, 0, 4], [4, 0, 4, 0, 4, 0, 4, 0, 4, 0], [0, 0, 4, 0, 0, 0, 4, 0, 4, 0], [0, 4, 0, 4, 4, 0, 0, 0, 4, 4], [4, 0, 4, 4, 4, 4, 4, 0, 0, 0], [0, 4, 0, 0, 4, 4, 0, 0, 4, 0]] -> [[0, 0, 6, 6, 6, 0, 6, 0, 6, 0], [0, 6, 0, 0, 0, 6, 0, 6, 0, 0], [0, 6, 6, 6, 6, 6, 0, 6, 6, 0], [6, 6, 0, 0, 0, 6, 6, 0, 6, 0], [6, 6, 6, 6, 6, 0, 0, 0, 0, 6], [6, 6, 6, 6, 6, 0, 6, 0, 6, 6], [6, 6, 6, 0, 6, 6, 6, 0, 6, 6], [0, 6, 6, 0, 6, 0, 6, 6, 6, 0], [6, 6, 6, 0, 6, 6, 6, 0, 6, 0], [6, 6, 0, 0, 6, 0, 6, 0, 6, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 0, 3, 0, 0, 0, 3, 0, 3, 0], [0, 0, 0, 3, 0, 3, 0, 0, 0, 0], [0, 0, 3, 3, 3, 3, 0, 3, 3, 0], [3, 0, 0, 3, 0, 3, 0, 0, 0, 3], [0, 0, 3, 0, 3, 0, 0, 0, 0, 0], [0, 3, 3, 3, 3, 0, 3, 0, 0, 3], [3, 3, 3, 0, 3, 3, 3, 0, 0, 3], [0, 0, 3, 3, 3, 0, 3, 3, 3, 3], [0, 3, 3, 3, 0, 0, 0, 0, 3, 0], [3, 0, 0, 0, 0, 3, 3, 0, 3, 0], [0, 0, 0, 4, 4, 0, 0, 0, 0, 0], [0, 4, 0, 4, 0, 0, 0, 4, 0, 0], [0, 4, 4, 0, 4, 0, 0, 0, 4, 0], [4, 4, 0, 4, 0, 0, 4, 0, 4, 4], [4, 4, 0, 4, 4, 0, 0, 0, 0, 4], [4, 0, 4, 0, 4, 0, 4, 0, 4, 0], [0, 0, 4, 0, 0, 0, 4, 0, 4, 0], [0, 4, 0, 4, 4, 0, 0, 0, 4, 4], [4, 0, 4, 4, 4, 4, 4, 0, 0, 0], [0, 4, 0, 0, 4, 4, 0, 0, 4, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0
+                        ],
+                        [
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0
+                        ],
+                        [
+                            3,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            4,
+                            0,
+                            4,
+                            0,
+                            0,
+                            0,
+                            4,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            4,
+                            4,
+                            0,
+                            4,
+                            0,
+                            0,
+                            0,
+                            4,
+                            0
+                        ],
+                        [
+                            4,
+                            4,
+                            0,
+                            4,
+                            0,
+                            0,
+                            4,
+                            0,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            0,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0,
+                            4
+                        ],
+                        [
+                            4,
+                            0,
+                            4,
+                            0,
+                            4,
+                            0,
+                            4,
+                            0,
+                            4,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            4,
+                            0,
+                            0,
+                            0,
+                            4,
+                            0,
+                            4,
+                            0
+                        ],
+                        [
+                            0,
+                            4,
+                            0,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            0,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            4,
+                            0,
+                            0,
+                            4,
+                            4,
+                            0,
+                            0,
+                            4,
+                            0
+                        ]
+                    ],
+                    "output": [
+                        [
+                            0,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0
+                        ],
+                        [
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0
+                        ],
+                        [
+                            6,
+                            6,
+                            0,
+                            0,
+                            0,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0
+                        ],
+                        [
+                            6,
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0
+                        ]
+                    ]
+                }
+            },
+            "Replicate 1": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 0, 2, 2, 2, 2, 0, 2, 0], [0, 0, 2, 2, 2, 0, 0, 0, 2, 2], [2, 2, 2, 2, 2, 2, 0, 2, 2, 0], [0, 0, 2, 2, 2, 2, 2, 2, 0, 0], [0, 0, 0, 2, 2, 2, 2, 0, 0, 2], [0, 0, 2, 2, 0, 2, 0, 2, 0, 2], [2, 0, 2, 2, 0, 2, 0, 2, 2, 2], [2, 2, 0, 0, 2, 2, 0, 2, 0, 0], [2, 0, 0, 2, 2, 2, 2, 2, 0, 2], [2, 0, 0, 0, 2, 0, 0, 2, 2, 0], [0, 0, 4, 0, 0, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 0, 0, 0, 0, 0], [4, 4, 0, 0, 0, 4, 0, 4, 4, 0], [0, 0, 0, 0, 4, 4, 0, 0, 0, 4], [4, 0, 4, 0, 4, 0, 4, 4, 4, 0], [0, 4, 4, 0, 4, 4, 4, 4, 4, 0], [4, 0, 0, 0, 4, 4, 0, 4, 4, 4], [0, 4, 4, 0, 4, 4, 4, 0, 4, 4], [0, 4, 4, 4, 0, 0, 0, 0, 4, 0], [0, 4, 4, 4, 0, 4, 4, 4, 0, 4]] -> [[0, 0, 6, 6, 6, 0, 6, 6, 6, 6], [6, 6, 6, 0, 6, 0, 0, 0, 6, 6], [6, 0, 6, 6, 6, 0, 0, 0, 6, 0], [0, 0, 6, 6, 6, 0, 6, 6, 0, 6], [6, 0, 6, 6, 6, 6, 6, 6, 6, 6], [0, 6, 6, 6, 6, 0, 6, 0, 6, 6], [6, 0, 6, 6, 6, 0, 0, 0, 6, 0], [6, 0, 6, 0, 6, 0, 6, 6, 6, 6], [6, 6, 6, 0, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 0, 6, 6]]\nExample input-output arrays:\n[[0, 0, 2, 0, 0, 0, 2, 0, 2, 0], [0, 0, 0, 2, 0, 2, 0, 0, 0, 0], [0, 0, 2, 2, 2, 2, 0, 2, 2, 0], [2, 0, 0, 2, 0, 2, 0, 0, 0, 2], [0, 0, 2, 0, 2, 0, 0, 0, 0, 0], [0, 2, 2, 2, 2, 0, 2, 0, 0, 2], [2, 2, 2, 0, 2, 2, 2, 0, 0, 2], [0, 0, 2, 2, 2, 0, 2, 2, 2, 2], [0, 2, 2, 2, 0, 0, 0, 0, 2, 0], [2, 0, 0, 0, 0, 2, 2, 0, 2, 0], [0, 0, 0, 4, 4, 0, 0, 0, 0, 0], [0, 4, 0, 4, 0, 0, 0, 4, 0, 0], [0, 4, 4, 0, 4, 0, 0, 0, 4, 0], [4, 4, 0, 4, 0, 0, 4, 0, 4, 4], [4, 4, 0, 4, 4, 0, 0, 0, 0, 4], [4, 0, 4, 0, 4, 0, 4, 0, 4, 0], [0, 0, 4, 0, 0, 0, 4, 0, 4, 0], [0, 4, 0, 4, 4, 0, 0, 0, 4, 4], [4, 0, 4, 4, 4, 4, 4, 0, 0, 0], [0, 4, 0, 0, 4, 4, 0, 0, 4, 0]] -> [[0, 0, 6, 6, 6, 0, 6, 0, 6, 0], [0, 6, 0, 0, 0, 6, 0, 6, 0, 0], [0, 6, 6, 6, 6, 6, 0, 6, 6, 0], [6, 6, 0, 0, 0, 6, 6, 0, 6, 0], [6, 6, 6, 6, 6, 0, 0, 0, 0, 6], [6, 6, 6, 6, 6, 0, 6, 0, 6, 6], [6, 6, 6, 0, 6, 6, 6, 0, 6, 6], [0, 6, 6, 0, 6, 0, 6, 6, 6, 0], [6, 6, 6, 0, 6, 6, 6, 0, 6, 0], [6, 6, 0, 0, 6, 0, 6, 0, 6, 0]]\nExample input-output arrays:\n[[2, 2, 2, 0, 2, 0, 0, 0, 2, 2], [2, 2, 0, 2, 2, 2, 0, 0, 0, 0], [0, 0, 2, 0, 2, 2, 0, 0, 2, 0], [2, 2, 0, 2, 2, 2, 0, 2, 0, 0], [2, 2, 0, 0, 0, 2, 2, 0, 2, 0], [0, 0, 2, 2, 0, 2, 0, 2, 0, 2], [2, 2, 2, 0, 2, 0, 0, 2, 0, 0], [2, 2, 2, 0, 0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2, 0, 2, 0], [2, 0, 2, 0, 2, 0, 0, 2, 0, 0], [4, 0, 0, 4, 4, 4, 0, 4, 0, 0], [0, 4, 4, 0, 0, 0, 0, 4, 4, 0], [4, 0, 0, 0, 0, 4, 4, 0, 4, 4], [4, 0, 4, 4, 4, 0, 0, 4, 0, 4], [4, 0, 4, 0, 0, 0, 0, 0, 4, 0], [4, 4, 0, 4, 4, 0, 0, 4, 4, 0], [4, 0, 0, 0, 0, 0, 4, 0, 4, 4], [0, 4, 4, 0, 0, 4, 0, 4, 0, 0], [4, 0, 0, 4, 4, 0, 4, 4, 4, 4], [4, 0, 4, 4, 0, 4, 4, 0, 4, 4]] -> [[6, 6, 6, 6, 6, 6, 0, 6, 6, 6], [6, 0, 6, 6, 6, 6, 0, 6, 6, 0], [6, 0, 6, 0, 6, 0, 6, 0, 6, 6], [6, 6, 6, 0, 6, 6, 0, 0, 0, 6], [6, 6, 6, 0, 0, 6, 6, 0, 6, 0], [6, 6, 6, 0, 6, 6, 0, 0, 6, 6], [6, 6, 6, 0, 6, 0, 6, 6, 6, 6], [6, 0, 6, 0, 0, 6, 6, 6, 0, 0], [6, 0, 0, 6, 6, 0, 6, 6, 6, 6], [6, 0, 6, 6, 6, 6, 6, 6, 6, 6]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[7, 7, 7, 0, 7, 0, 0, 0, 7, 7], [7, 7, 0, 7, 7, 7, 0, 0, 0, 0], [0, 0, 7, 0, 7, 7, 0, 0, 7, 0], [7, 7, 0, 7, 7, 7, 0, 7, 0, 0], [7, 7, 0, 0, 0, 7, 7, 0, 7, 0], [0, 0, 7, 7, 0, 7, 0, 7, 0, 7], [7, 7, 7, 0, 7, 0, 0, 7, 0, 0], [7, 7, 7, 0, 0, 0, 7, 0, 0, 0], [0, 0, 0, 0, 0, 0, 7, 0, 7, 0], [7, 0, 7, 0, 7, 0, 0, 7, 0, 0], [4, 0, 0, 4, 4, 4, 0, 4, 0, 0], [0, 4, 4, 0, 0, 0, 0, 4, 4, 0], [4, 0, 0, 0, 0, 4, 4, 0, 4, 4], [4, 0, 4, 4, 4, 0, 0, 4, 0, 4], [4, 0, 4, 0, 0, 0, 0, 0, 4, 0], [4, 4, 0, 4, 4, 0, 0, 4, 4, 0], [4, 0, 0, 0, 0, 0, 4, 0, 4, 4], [0, 4, 4, 0, 0, 4, 0, 4, 0, 0], [4, 0, 0, 4, 4, 0, 4, 4, 4, 4], [4, 0, 4, 4, 0, 4, 4, 0, 4, 4]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            7,
+                            7,
+                            7,
+                            0,
+                            7,
+                            0,
+                            0,
+                            0,
+                            7,
+                            7
+                        ],
+                        [
+                            7,
+                            7,
+                            0,
+                            7,
+                            7,
+                            7,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            7,
+                            0,
+                            7,
+                            7,
+                            0,
+                            0,
+                            7,
+                            0
+                        ],
+                        [
+                            7,
+                            7,
+                            0,
+                            7,
+                            7,
+                            7,
+                            0,
+                            7,
+                            0,
+                            0
+                        ],
+                        [
+                            7,
+                            7,
+                            0,
+                            0,
+                            0,
+                            7,
+                            7,
+                            0,
+                            7,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            7,
+                            7,
+                            0,
+                            7,
+                            0,
+                            7,
+                            0,
+                            7
+                        ],
+                        [
+                            7,
+                            7,
+                            7,
+                            0,
+                            7,
+                            0,
+                            0,
+                            7,
+                            0,
+                            0
+                        ],
+                        [
+                            7,
+                            7,
+                            7,
+                            0,
+                            0,
+                            0,
+                            7,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            7,
+                            0,
+                            7,
+                            0
+                        ],
+                        [
+                            7,
+                            0,
+                            7,
+                            0,
+                            7,
+                            0,
+                            0,
+                            7,
+                            0,
+                            0
+                        ],
+                        [
+                            4,
+                            0,
+                            0,
+                            4,
+                            4,
+                            4,
+                            0,
+                            4,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0,
+                            4,
+                            4,
+                            0
+                        ],
+                        [
+                            4,
+                            0,
+                            0,
+                            0,
+                            0,
+                            4,
+                            4,
+                            0,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            0,
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            4,
+                            0,
+                            4
+                        ],
+                        [
+                            4,
+                            0,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            4,
+                            0
+                        ],
+                        [
+                            4,
+                            4,
+                            0,
+                            4,
+                            4,
+                            0,
+                            0,
+                            4,
+                            4,
+                            0
+                        ],
+                        [
+                            4,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            4,
+                            0,
+                            4,
+                            4
+                        ],
+                        [
+                            0,
+                            4,
+                            4,
+                            0,
+                            0,
+                            4,
+                            0,
+                            4,
+                            0,
+                            0
+                        ],
+                        [
+                            4,
+                            0,
+                            0,
+                            4,
+                            4,
+                            0,
+                            4,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            0,
+                            4,
+                            4,
+                            0,
+                            4,
+                            4,
+                            0,
+                            4,
+                            4
+                        ]
+                    ],
+                    "output": [
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0
+                        ],
+                        [
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0,
+                            0,
+                            0,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            0,
+                            6,
+                            0,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0
+                        ],
+                        [
+                            6,
+                            0,
+                            0,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ]
+                    ]
+                }
+            },
+            "Replicate 2": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 0, 2, 2, 2, 2, 0, 2, 0], [0, 0, 2, 2, 2, 0, 0, 0, 2, 2], [2, 2, 2, 2, 2, 2, 0, 2, 2, 0], [0, 0, 2, 2, 2, 2, 2, 2, 0, 0], [0, 0, 0, 2, 2, 2, 2, 0, 0, 2], [0, 0, 2, 2, 0, 2, 0, 2, 0, 2], [2, 0, 2, 2, 0, 2, 0, 2, 2, 2], [2, 2, 0, 0, 2, 2, 0, 2, 0, 0], [2, 0, 0, 2, 2, 2, 2, 2, 0, 2], [2, 0, 0, 0, 2, 0, 0, 2, 2, 0], [0, 0, 4, 0, 0, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 0, 0, 0, 0, 0], [4, 4, 0, 0, 0, 4, 0, 4, 4, 0], [0, 0, 0, 0, 4, 4, 0, 0, 0, 4], [4, 0, 4, 0, 4, 0, 4, 4, 4, 0], [0, 4, 4, 0, 4, 4, 4, 4, 4, 0], [4, 0, 0, 0, 4, 4, 0, 4, 4, 4], [0, 4, 4, 0, 4, 4, 4, 0, 4, 4], [0, 4, 4, 4, 0, 0, 0, 0, 4, 0], [0, 4, 4, 4, 0, 4, 4, 4, 0, 4]] -> [[0, 0, 6, 6, 6, 0, 6, 6, 6, 6], [6, 6, 6, 0, 6, 0, 0, 0, 6, 6], [6, 0, 6, 6, 6, 0, 0, 0, 6, 0], [0, 0, 6, 6, 6, 0, 6, 6, 0, 6], [6, 0, 6, 6, 6, 6, 6, 6, 6, 6], [0, 6, 6, 6, 6, 0, 6, 0, 6, 6], [6, 0, 6, 6, 6, 0, 0, 0, 6, 0], [6, 0, 6, 0, 6, 0, 6, 6, 6, 6], [6, 6, 6, 0, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 0, 6, 6]]\nExample input-output arrays:\n[[2, 2, 2, 0, 2, 0, 0, 0, 2, 2], [2, 2, 0, 2, 2, 2, 0, 0, 0, 0], [0, 0, 2, 0, 2, 2, 0, 0, 2, 0], [2, 2, 0, 2, 2, 2, 0, 2, 0, 0], [2, 2, 0, 0, 0, 2, 2, 0, 2, 0], [0, 0, 2, 2, 0, 2, 0, 2, 0, 2], [2, 2, 2, 0, 2, 0, 0, 2, 0, 0], [2, 2, 2, 0, 0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2, 0, 2, 0], [2, 0, 2, 0, 2, 0, 0, 2, 0, 0], [4, 0, 0, 4, 4, 4, 0, 4, 0, 0], [0, 4, 4, 0, 0, 0, 0, 4, 4, 0], [4, 0, 0, 0, 0, 4, 4, 0, 4, 4], [4, 0, 4, 4, 4, 0, 0, 4, 0, 4], [4, 0, 4, 0, 0, 0, 0, 0, 4, 0], [4, 4, 0, 4, 4, 0, 0, 4, 4, 0], [4, 0, 0, 0, 0, 0, 4, 0, 4, 4], [0, 4, 4, 0, 0, 4, 0, 4, 0, 0], [4, 0, 0, 4, 4, 0, 4, 4, 4, 4], [4, 0, 4, 4, 0, 4, 4, 0, 4, 4]] -> [[6, 6, 6, 6, 6, 6, 0, 6, 6, 6], [6, 0, 6, 6, 6, 6, 0, 6, 6, 0], [6, 0, 6, 0, 6, 0, 6, 0, 6, 6], [6, 6, 6, 0, 6, 6, 0, 0, 0, 6], [6, 6, 6, 0, 0, 6, 6, 0, 6, 0], [6, 6, 6, 0, 6, 6, 0, 0, 6, 6], [6, 6, 6, 0, 6, 0, 6, 6, 6, 6], [6, 0, 6, 0, 0, 6, 6, 6, 0, 0], [6, 0, 0, 6, 6, 0, 6, 6, 6, 6], [6, 0, 6, 6, 6, 6, 6, 6, 6, 6]]\nExample input-output arrays:\n[[0, 0, 0, 2, 2, 2, 2, 0, 2, 0], [0, 0, 2, 2, 2, 0, 0, 0, 2, 2], [2, 2, 2, 2, 2, 2, 0, 2, 2, 0], [0, 0, 2, 2, 2, 2, 2, 2, 0, 0], [0, 0, 0, 2, 2, 2, 2, 0, 0, 2], [0, 0, 2, 2, 0, 2, 0, 2, 0, 2], [2, 0, 2, 2, 0, 2, 0, 2, 2, 2], [2, 2, 0, 0, 2, 2, 0, 2, 0, 0], [2, 0, 0, 2, 2, 2, 2, 2, 0, 2], [2, 0, 0, 0, 2, 0, 0, 2, 2, 0], [0, 0, 4, 0, 0, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 0, 0, 0, 0, 0], [4, 4, 0, 0, 0, 4, 0, 4, 4, 0], [0, 0, 0, 0, 4, 4, 0, 0, 0, 4], [4, 0, 4, 0, 4, 0, 4, 4, 4, 0], [0, 4, 4, 0, 4, 4, 4, 4, 4, 0], [4, 0, 0, 0, 4, 4, 0, 4, 4, 4], [0, 4, 4, 0, 4, 4, 4, 0, 4, 4], [0, 4, 4, 4, 0, 0, 0, 0, 4, 0], [0, 4, 4, 4, 0, 4, 4, 4, 0, 4]] -> [[0, 0, 6, 6, 6, 0, 6, 6, 6, 6], [6, 6, 6, 0, 6, 0, 0, 0, 6, 6], [6, 0, 6, 6, 6, 0, 0, 0, 6, 0], [0, 0, 6, 6, 6, 0, 6, 6, 0, 6], [6, 0, 6, 6, 6, 6, 6, 6, 6, 6], [0, 6, 6, 6, 6, 0, 6, 0, 6, 6], [6, 0, 6, 6, 6, 0, 0, 0, 6, 0], [6, 0, 6, 0, 6, 0, 6, 6, 6, 6], [6, 6, 6, 0, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 0, 6, 6]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 0, 0, 8, 8, 8, 8, 0, 8, 0], [0, 0, 8, 8, 8, 0, 0, 0, 8, 8], [8, 8, 8, 8, 8, 8, 0, 8, 8, 0], [0, 0, 8, 8, 8, 8, 8, 8, 0, 0], [0, 0, 0, 8, 8, 8, 8, 0, 0, 8], [0, 0, 8, 8, 0, 8, 0, 8, 0, 8], [8, 0, 8, 8, 0, 8, 0, 8, 8, 8], [8, 8, 0, 0, 8, 8, 0, 8, 0, 0], [8, 0, 0, 8, 8, 8, 8, 8, 0, 8], [8, 0, 0, 0, 8, 0, 0, 8, 8, 0], [0, 0, 4, 0, 0, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 0, 0, 0, 0, 0], [4, 4, 0, 0, 0, 4, 0, 4, 4, 0], [0, 0, 0, 0, 4, 4, 0, 0, 0, 4], [4, 0, 4, 0, 4, 0, 4, 4, 4, 0], [0, 4, 4, 0, 4, 4, 4, 4, 4, 0], [4, 0, 0, 0, 4, 4, 0, 4, 4, 4], [0, 4, 4, 0, 4, 4, 4, 0, 4, 4], [0, 4, 4, 4, 0, 0, 0, 0, 4, 0], [0, 4, 4, 4, 0, 4, 4, 4, 0, 4]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            0,
+                            0,
+                            0,
+                            8,
+                            8,
+                            8,
+                            8,
+                            0,
+                            8,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            8,
+                            8,
+                            8,
+                            0,
+                            0,
+                            0,
+                            8,
+                            8
+                        ],
+                        [
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            0,
+                            8,
+                            8,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            8,
+                            8,
+                            8,
+                            8,
+                            0,
+                            0,
+                            8
+                        ],
+                        [
+                            0,
+                            0,
+                            8,
+                            8,
+                            0,
+                            8,
+                            0,
+                            8,
+                            0,
+                            8
+                        ],
+                        [
+                            8,
+                            0,
+                            8,
+                            8,
+                            0,
+                            8,
+                            0,
+                            8,
+                            8,
+                            8
+                        ],
+                        [
+                            8,
+                            8,
+                            0,
+                            0,
+                            8,
+                            8,
+                            0,
+                            8,
+                            0,
+                            0
+                        ],
+                        [
+                            8,
+                            0,
+                            0,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            0,
+                            8
+                        ],
+                        [
+                            8,
+                            0,
+                            0,
+                            0,
+                            8,
+                            0,
+                            0,
+                            8,
+                            8,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            4,
+                            0,
+                            0,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            4,
+                            0,
+                            4,
+                            4,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            4
+                        ],
+                        [
+                            4,
+                            0,
+                            4,
+                            0,
+                            4,
+                            0,
+                            4,
+                            4,
+                            4,
+                            0
+                        ],
+                        [
+                            0,
+                            4,
+                            4,
+                            0,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            0
+                        ],
+                        [
+                            4,
+                            0,
+                            0,
+                            0,
+                            4,
+                            4,
+                            0,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            0,
+                            4,
+                            4,
+                            0,
+                            4,
+                            4,
+                            4,
+                            0,
+                            4,
+                            4
+                        ],
+                        [
+                            0,
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0,
+                            4,
+                            0
+                        ],
+                        [
+                            0,
+                            4,
+                            4,
+                            4,
+                            0,
+                            4,
+                            4,
+                            4,
+                            0,
+                            4
+                        ]
+                    ],
+                    "output": [
+                        [
+                            0,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0,
+                            6
+                        ],
+                        [
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0
+                        ],
+                        [
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6
+                        ]
+                    ]
+                }
+            },
+            "Replicate 3": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 0, 0, 2, 0, 2, 2, 2, 0], [0, 2, 0, 0, 0, 0, 2, 2, 2, 0], [0, 0, 2, 0, 2, 0, 0, 0, 0, 2], [2, 2, 2, 0, 2, 2, 0, 2, 2, 0], [0, 0, 0, 0, 2, 2, 2, 0, 2, 0], [2, 2, 0, 0, 0, 2, 0, 0, 2, 0], [2, 2, 0, 0, 0, 2, 0, 0, 2, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [2, 2, 2, 2, 0, 2, 0, 0, 0, 0], [2, 0, 2, 0, 2, 0, 0, 0, 2, 2], [0, 4, 4, 0, 0, 4, 4, 0, 0, 0], [0, 4, 4, 0, 4, 4, 0, 0, 0, 0], [0, 0, 0, 4, 4, 4, 4, 0, 4, 0], [0, 0, 0, 4, 0, 4, 0, 0, 0, 4], [0, 0, 0, 0, 4, 4, 0, 4, 4, 0], [4, 0, 4, 4, 0, 0, 4, 4, 4, 4], [0, 4, 0, 4, 4, 4, 4, 0, 4, 0], [0, 4, 0, 0, 4, 0, 0, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 0, 0], [0, 4, 0, 0, 0, 4, 4, 0, 4, 0]] -> [[0, 6, 6, 0, 6, 6, 6, 6, 6, 0], [0, 0, 6, 0, 6, 6, 6, 6, 6, 0], [0, 0, 6, 6, 6, 6, 6, 0, 6, 6], [6, 6, 6, 6, 6, 0, 0, 6, 6, 6], [0, 0, 0, 0, 6, 0, 6, 6, 6, 0], [6, 6, 6, 6, 0, 6, 6, 6, 6, 6], [6, 0, 0, 6, 6, 0, 6, 0, 6, 0], [0, 6, 0, 6, 6, 0, 0, 6, 0, 0], [6, 6, 6, 6, 0, 6, 0, 6, 0, 0], [6, 6, 6, 0, 6, 6, 6, 0, 6, 6]]\nExample input-output arrays:\n[[0, 0, 2, 0, 0, 0, 2, 0, 2, 0], [0, 0, 0, 2, 0, 2, 0, 0, 0, 0], [0, 0, 2, 2, 2, 2, 0, 2, 2, 0], [2, 0, 0, 2, 0, 2, 0, 0, 0, 2], [0, 0, 2, 0, 2, 0, 0, 0, 0, 0], [0, 2, 2, 2, 2, 0, 2, 0, 0, 2], [2, 2, 2, 0, 2, 2, 2, 0, 0, 2], [0, 0, 2, 2, 2, 0, 2, 2, 2, 2], [0, 2, 2, 2, 0, 0, 0, 0, 2, 0], [2, 0, 0, 0, 0, 2, 2, 0, 2, 0], [0, 0, 0, 4, 4, 0, 0, 0, 0, 0], [0, 4, 0, 4, 0, 0, 0, 4, 0, 0], [0, 4, 4, 0, 4, 0, 0, 0, 4, 0], [4, 4, 0, 4, 0, 0, 4, 0, 4, 4], [4, 4, 0, 4, 4, 0, 0, 0, 0, 4], [4, 0, 4, 0, 4, 0, 4, 0, 4, 0], [0, 0, 4, 0, 0, 0, 4, 0, 4, 0], [0, 4, 0, 4, 4, 0, 0, 0, 4, 4], [4, 0, 4, 4, 4, 4, 4, 0, 0, 0], [0, 4, 0, 0, 4, 4, 0, 0, 4, 0]] -> [[0, 0, 6, 6, 6, 0, 6, 0, 6, 0], [0, 6, 0, 0, 0, 6, 0, 6, 0, 0], [0, 6, 6, 6, 6, 6, 0, 6, 6, 0], [6, 6, 0, 0, 0, 6, 6, 0, 6, 0], [6, 6, 6, 6, 6, 0, 0, 0, 0, 6], [6, 6, 6, 6, 6, 0, 6, 0, 6, 6], [6, 6, 6, 0, 6, 6, 6, 0, 6, 6], [0, 6, 6, 0, 6, 0, 6, 6, 6, 0], [6, 6, 6, 0, 6, 6, 6, 0, 6, 0], [6, 6, 0, 0, 6, 0, 6, 0, 6, 0]]\nExample input-output arrays:\n[[0, 0, 0, 2, 2, 2, 2, 0, 2, 0], [0, 0, 2, 2, 2, 0, 0, 0, 2, 2], [2, 2, 2, 2, 2, 2, 0, 2, 2, 0], [0, 0, 2, 2, 2, 2, 2, 2, 0, 0], [0, 0, 0, 2, 2, 2, 2, 0, 0, 2], [0, 0, 2, 2, 0, 2, 0, 2, 0, 2], [2, 0, 2, 2, 0, 2, 0, 2, 2, 2], [2, 2, 0, 0, 2, 2, 0, 2, 0, 0], [2, 0, 0, 2, 2, 2, 2, 2, 0, 2], [2, 0, 0, 0, 2, 0, 0, 2, 2, 0], [0, 0, 4, 0, 0, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 0, 0, 0, 0, 0], [4, 4, 0, 0, 0, 4, 0, 4, 4, 0], [0, 0, 0, 0, 4, 4, 0, 0, 0, 4], [4, 0, 4, 0, 4, 0, 4, 4, 4, 0], [0, 4, 4, 0, 4, 4, 4, 4, 4, 0], [4, 0, 0, 0, 4, 4, 0, 4, 4, 4], [0, 4, 4, 0, 4, 4, 4, 0, 4, 4], [0, 4, 4, 4, 0, 0, 0, 0, 4, 0], [0, 4, 4, 4, 0, 4, 4, 4, 0, 4]] -> [[0, 0, 6, 6, 6, 0, 6, 6, 6, 6], [6, 6, 6, 0, 6, 0, 0, 0, 6, 6], [6, 0, 6, 6, 6, 0, 0, 0, 6, 0], [0, 0, 6, 6, 6, 0, 6, 6, 0, 6], [6, 0, 6, 6, 6, 6, 6, 6, 6, 6], [0, 6, 6, 6, 6, 0, 6, 0, 6, 6], [6, 0, 6, 6, 6, 0, 0, 0, 6, 0], [6, 0, 6, 0, 6, 0, 6, 6, 6, 6], [6, 6, 6, 0, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 0, 6, 6]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 0, 0, 5, 5, 5, 5, 0, 5, 0], [0, 0, 5, 5, 5, 0, 0, 0, 5, 5], [5, 5, 5, 5, 5, 5, 0, 5, 5, 0], [0, 0, 5, 5, 5, 5, 5, 5, 0, 0], [0, 0, 0, 5, 5, 5, 5, 0, 0, 5], [0, 0, 5, 5, 0, 5, 0, 5, 0, 5], [5, 0, 5, 5, 0, 5, 0, 5, 5, 5], [5, 5, 0, 0, 5, 5, 0, 5, 0, 0], [5, 0, 0, 5, 5, 5, 5, 5, 0, 5], [5, 0, 0, 0, 5, 0, 0, 5, 5, 0], [0, 0, 4, 0, 0, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 0, 0, 0, 0, 0], [4, 4, 0, 0, 0, 4, 0, 4, 4, 0], [0, 0, 0, 0, 4, 4, 0, 0, 0, 4], [4, 0, 4, 0, 4, 0, 4, 4, 4, 0], [0, 4, 4, 0, 4, 4, 4, 4, 4, 0], [4, 0, 0, 0, 4, 4, 0, 4, 4, 4], [0, 4, 4, 0, 4, 4, 4, 0, 4, 4], [0, 4, 4, 4, 0, 0, 0, 0, 4, 0], [0, 4, 4, 4, 0, 4, 4, 4, 0, 4]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            0,
+                            0,
+                            0,
+                            5,
+                            5,
+                            5,
+                            5,
+                            0,
+                            5,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            5,
+                            5,
+                            5,
+                            0,
+                            0,
+                            0,
+                            5,
+                            5
+                        ],
+                        [
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            0,
+                            5,
+                            5,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            5,
+                            5,
+                            5,
+                            5,
+                            0,
+                            0,
+                            5
+                        ],
+                        [
+                            0,
+                            0,
+                            5,
+                            5,
+                            0,
+                            5,
+                            0,
+                            5,
+                            0,
+                            5
+                        ],
+                        [
+                            5,
+                            0,
+                            5,
+                            5,
+                            0,
+                            5,
+                            0,
+                            5,
+                            5,
+                            5
+                        ],
+                        [
+                            5,
+                            5,
+                            0,
+                            0,
+                            5,
+                            5,
+                            0,
+                            5,
+                            0,
+                            0
+                        ],
+                        [
+                            5,
+                            0,
+                            0,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            0,
+                            5
+                        ],
+                        [
+                            5,
+                            0,
+                            0,
+                            0,
+                            5,
+                            0,
+                            0,
+                            5,
+                            5,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            4,
+                            0,
+                            0,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            4,
+                            0,
+                            4,
+                            4,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            4
+                        ],
+                        [
+                            4,
+                            0,
+                            4,
+                            0,
+                            4,
+                            0,
+                            4,
+                            4,
+                            4,
+                            0
+                        ],
+                        [
+                            0,
+                            4,
+                            4,
+                            0,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            0
+                        ],
+                        [
+                            4,
+                            0,
+                            0,
+                            0,
+                            4,
+                            4,
+                            0,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            0,
+                            4,
+                            4,
+                            0,
+                            4,
+                            4,
+                            4,
+                            0,
+                            4,
+                            4
+                        ],
+                        [
+                            0,
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0,
+                            4,
+                            0
+                        ],
+                        [
+                            0,
+                            4,
+                            4,
+                            4,
+                            0,
+                            4,
+                            4,
+                            4,
+                            0,
+                            4
+                        ]
+                    ],
+                    "output": [
+                        [
+                            0,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0,
+                            6
+                        ],
+                        [
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0
+                        ],
+                        [
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6
+                        ]
+                    ]
+                }
+            },
+            "Replicate 4": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 0, 0, 2, 0, 2, 2, 2, 0], [0, 2, 0, 0, 0, 0, 2, 2, 2, 0], [0, 0, 2, 0, 2, 0, 0, 0, 0, 2], [2, 2, 2, 0, 2, 2, 0, 2, 2, 0], [0, 0, 0, 0, 2, 2, 2, 0, 2, 0], [2, 2, 0, 0, 0, 2, 0, 0, 2, 0], [2, 2, 0, 0, 0, 2, 0, 0, 2, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [2, 2, 2, 2, 0, 2, 0, 0, 0, 0], [2, 0, 2, 0, 2, 0, 0, 0, 2, 2], [0, 4, 4, 0, 0, 4, 4, 0, 0, 0], [0, 4, 4, 0, 4, 4, 0, 0, 0, 0], [0, 0, 0, 4, 4, 4, 4, 0, 4, 0], [0, 0, 0, 4, 0, 4, 0, 0, 0, 4], [0, 0, 0, 0, 4, 4, 0, 4, 4, 0], [4, 0, 4, 4, 0, 0, 4, 4, 4, 4], [0, 4, 0, 4, 4, 4, 4, 0, 4, 0], [0, 4, 0, 0, 4, 0, 0, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 0, 0], [0, 4, 0, 0, 0, 4, 4, 0, 4, 0]] -> [[0, 6, 6, 0, 6, 6, 6, 6, 6, 0], [0, 0, 6, 0, 6, 6, 6, 6, 6, 0], [0, 0, 6, 6, 6, 6, 6, 0, 6, 6], [6, 6, 6, 6, 6, 0, 0, 6, 6, 6], [0, 0, 0, 0, 6, 0, 6, 6, 6, 0], [6, 6, 6, 6, 0, 6, 6, 6, 6, 6], [6, 0, 0, 6, 6, 0, 6, 0, 6, 0], [0, 6, 0, 6, 6, 0, 0, 6, 0, 0], [6, 6, 6, 6, 0, 6, 0, 6, 0, 0], [6, 6, 6, 0, 6, 6, 6, 0, 6, 6]]\nExample input-output arrays:\n[[0, 2, 0, 2, 0, 0, 0, 0, 2, 0], [0, 2, 2, 2, 2, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 2, 0, 0, 2], [2, 2, 0, 2, 2, 2, 0, 2, 0, 2], [2, 2, 0, 0, 0, 2, 2, 0, 2, 0], [2, 0, 2, 0, 0, 0, 2, 2, 0, 0], [0, 2, 2, 2, 2, 0, 0, 2, 2, 0], [2, 0, 2, 2, 2, 0, 0, 0, 2, 0], [2, 2, 2, 2, 0, 0, 0, 0, 2, 0], [2, 0, 2, 0, 0, 0, 2, 2, 0, 2], [4, 0, 4, 0, 4, 0, 0, 4, 4, 0], [4, 0, 4, 4, 4, 4, 4, 0, 0, 0], [4, 0, 4, 0, 4, 4, 0, 4, 0, 0], [4, 0, 0, 4, 0, 4, 0, 0, 4, 0], [0, 4, 0, 0, 4, 0, 4, 4, 0, 0], [0, 0, 4, 0, 0, 0, 4, 0, 4, 0], [0, 0, 0, 4, 4, 4, 4, 0, 4, 0], [4, 4, 0, 0, 0, 0, 0, 0, 0, 0], [4, 4, 0, 0, 4, 0, 0, 4, 4, 0], [0, 4, 4, 4, 4, 0, 4, 0, 0, 0]] -> [[6, 6, 6, 6, 6, 0, 0, 6, 6, 0], [6, 6, 6, 0, 6, 6, 6, 0, 0, 0], [6, 6, 6, 0, 6, 6, 6, 6, 0, 6], [6, 6, 0, 0, 6, 0, 0, 6, 6, 6], [6, 0, 0, 0, 6, 6, 6, 6, 6, 0], [6, 0, 6, 0, 0, 0, 6, 6, 6, 0], [0, 6, 6, 0, 6, 6, 6, 6, 6, 0], [6, 6, 6, 6, 6, 0, 0, 0, 6, 0], [6, 0, 6, 6, 6, 0, 0, 6, 6, 0], [6, 6, 6, 6, 6, 0, 6, 6, 0, 6]]\nExample input-output arrays:\n[[0, 0, 0, 2, 2, 2, 2, 0, 2, 0], [0, 0, 2, 2, 2, 0, 0, 0, 2, 2], [2, 2, 2, 2, 2, 2, 0, 2, 2, 0], [0, 0, 2, 2, 2, 2, 2, 2, 0, 0], [0, 0, 0, 2, 2, 2, 2, 0, 0, 2], [0, 0, 2, 2, 0, 2, 0, 2, 0, 2], [2, 0, 2, 2, 0, 2, 0, 2, 2, 2], [2, 2, 0, 0, 2, 2, 0, 2, 0, 0], [2, 0, 0, 2, 2, 2, 2, 2, 0, 2], [2, 0, 0, 0, 2, 0, 0, 2, 2, 0], [0, 0, 4, 0, 0, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 0, 0, 0, 0, 0], [4, 4, 0, 0, 0, 4, 0, 4, 4, 0], [0, 0, 0, 0, 4, 4, 0, 0, 0, 4], [4, 0, 4, 0, 4, 0, 4, 4, 4, 0], [0, 4, 4, 0, 4, 4, 4, 4, 4, 0], [4, 0, 0, 0, 4, 4, 0, 4, 4, 4], [0, 4, 4, 0, 4, 4, 4, 0, 4, 4], [0, 4, 4, 4, 0, 0, 0, 0, 4, 0], [0, 4, 4, 4, 0, 4, 4, 4, 0, 4]] -> [[0, 0, 6, 6, 6, 0, 6, 6, 6, 6], [6, 6, 6, 0, 6, 0, 0, 0, 6, 6], [6, 0, 6, 6, 6, 0, 0, 0, 6, 0], [0, 0, 6, 6, 6, 0, 6, 6, 0, 6], [6, 0, 6, 6, 6, 6, 6, 6, 6, 6], [0, 6, 6, 6, 6, 0, 6, 0, 6, 6], [6, 0, 6, 6, 6, 0, 0, 0, 6, 0], [6, 0, 6, 0, 6, 0, 6, 6, 6, 6], [6, 6, 6, 0, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 0, 6, 6]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 0, 0, 7, 7, 7, 7, 0, 7, 0], [0, 0, 7, 7, 7, 0, 0, 0, 7, 7], [7, 7, 7, 7, 7, 7, 0, 7, 7, 0], [0, 0, 7, 7, 7, 7, 7, 7, 0, 0], [0, 0, 0, 7, 7, 7, 7, 0, 0, 7], [0, 0, 7, 7, 0, 7, 0, 7, 0, 7], [7, 0, 7, 7, 0, 7, 0, 7, 7, 7], [7, 7, 0, 0, 7, 7, 0, 7, 0, 0], [7, 0, 0, 7, 7, 7, 7, 7, 0, 7], [7, 0, 0, 0, 7, 0, 0, 7, 7, 0], [0, 0, 4, 0, 0, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 0, 0, 0, 0, 0], [4, 4, 0, 0, 0, 4, 0, 4, 4, 0], [0, 0, 0, 0, 4, 4, 0, 0, 0, 4], [4, 0, 4, 0, 4, 0, 4, 4, 4, 0], [0, 4, 4, 0, 4, 4, 4, 4, 4, 0], [4, 0, 0, 0, 4, 4, 0, 4, 4, 4], [0, 4, 4, 0, 4, 4, 4, 0, 4, 4], [0, 4, 4, 4, 0, 0, 0, 0, 4, 0], [0, 4, 4, 4, 0, 4, 4, 4, 0, 4]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            0,
+                            0,
+                            0,
+                            7,
+                            7,
+                            7,
+                            7,
+                            0,
+                            7,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            7,
+                            7,
+                            7,
+                            0,
+                            0,
+                            0,
+                            7,
+                            7
+                        ],
+                        [
+                            7,
+                            7,
+                            7,
+                            7,
+                            7,
+                            7,
+                            0,
+                            7,
+                            7,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            7,
+                            7,
+                            7,
+                            7,
+                            7,
+                            7,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            7,
+                            7,
+                            7,
+                            7,
+                            0,
+                            0,
+                            7
+                        ],
+                        [
+                            0,
+                            0,
+                            7,
+                            7,
+                            0,
+                            7,
+                            0,
+                            7,
+                            0,
+                            7
+                        ],
+                        [
+                            7,
+                            0,
+                            7,
+                            7,
+                            0,
+                            7,
+                            0,
+                            7,
+                            7,
+                            7
+                        ],
+                        [
+                            7,
+                            7,
+                            0,
+                            0,
+                            7,
+                            7,
+                            0,
+                            7,
+                            0,
+                            0
+                        ],
+                        [
+                            7,
+                            0,
+                            0,
+                            7,
+                            7,
+                            7,
+                            7,
+                            7,
+                            0,
+                            7
+                        ],
+                        [
+                            7,
+                            0,
+                            0,
+                            0,
+                            7,
+                            0,
+                            0,
+                            7,
+                            7,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            4,
+                            0,
+                            0,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            4,
+                            0,
+                            4,
+                            4,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            4
+                        ],
+                        [
+                            4,
+                            0,
+                            4,
+                            0,
+                            4,
+                            0,
+                            4,
+                            4,
+                            4,
+                            0
+                        ],
+                        [
+                            0,
+                            4,
+                            4,
+                            0,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            0
+                        ],
+                        [
+                            4,
+                            0,
+                            0,
+                            0,
+                            4,
+                            4,
+                            0,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            0,
+                            4,
+                            4,
+                            0,
+                            4,
+                            4,
+                            4,
+                            0,
+                            4,
+                            4
+                        ],
+                        [
+                            0,
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0,
+                            4,
+                            0
+                        ],
+                        [
+                            0,
+                            4,
+                            4,
+                            4,
+                            0,
+                            4,
+                            4,
+                            4,
+                            0,
+                            4
+                        ]
+                    ],
+                    "output": [
+                        [
+                            0,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0,
+                            6
+                        ],
+                        [
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0
+                        ],
+                        [
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6
+                        ]
+                    ]
+                }
+            }
+        },
+        "L3": {
+            "Replicate 0": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 2, 0, 0, 0, 2, 0, 2, 0], [0, 0, 0, 2, 0, 2, 0, 0, 0, 0], [0, 0, 2, 2, 2, 2, 0, 2, 2, 0], [2, 0, 0, 2, 0, 2, 0, 0, 0, 2], [0, 0, 2, 0, 2, 0, 0, 0, 0, 0], [0, 2, 2, 2, 2, 0, 2, 0, 0, 2], [2, 2, 2, 0, 2, 2, 2, 0, 0, 2], [0, 0, 2, 2, 2, 0, 2, 2, 2, 2], [0, 2, 2, 2, 0, 0, 0, 0, 2, 0], [2, 0, 0, 0, 0, 2, 2, 0, 2, 0], [0, 0, 0, 4, 4, 0, 0, 0, 0, 0], [0, 4, 0, 4, 0, 0, 0, 4, 0, 0], [0, 4, 4, 0, 4, 0, 0, 0, 4, 0], [4, 4, 0, 4, 0, 0, 4, 0, 4, 4], [4, 4, 0, 4, 4, 0, 0, 0, 0, 4], [4, 0, 4, 0, 4, 0, 4, 0, 4, 0], [0, 0, 4, 0, 0, 0, 4, 0, 4, 0], [0, 4, 0, 4, 4, 0, 0, 0, 4, 4], [4, 0, 4, 4, 4, 4, 4, 0, 0, 0], [0, 4, 0, 0, 4, 4, 0, 0, 4, 0]] -> [[0, 0, 6, 6, 6, 0, 6, 0, 6, 0], [0, 6, 0, 0, 0, 6, 0, 6, 0, 0], [0, 6, 6, 6, 6, 6, 0, 6, 6, 0], [6, 6, 0, 0, 0, 6, 6, 0, 6, 0], [6, 6, 6, 6, 6, 0, 0, 0, 0, 6], [6, 6, 6, 6, 6, 0, 6, 0, 6, 6], [6, 6, 6, 0, 6, 6, 6, 0, 6, 6], [0, 6, 6, 0, 6, 0, 6, 6, 6, 0], [6, 6, 6, 0, 6, 6, 6, 0, 6, 0], [6, 6, 0, 0, 6, 0, 6, 0, 6, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing the causal function for some elements.\n[[2, 2, 0, 2, 2, 2, 0, 2, 0, 2], [2, 2, 2, 0, 2, 0, 2, 2, 2, 2], [2, 2, 0, 0, 0, 0, 2, 0, 0, 2], [0, 2, 2, 0, 2, 0, 2, 2, 2, 0], [2, 2, 0, 2, 0, 2, 2, 2, 2, 2], [2, 0, 0, 0, 0, 2, 0, 2, 2, 0], [0, 0, 0, 2, 0, 0, 0, 2, 2, 0], [2, 2, 0, 0, 0, 2, 0, 0, 0, 0], [2, 0, 0, 0, 2, 2, 2, 2, 0, 2], [0, 2, 2, 2, 2, 0, 0, 2, 0, 2], [0, 0, 4, 0, 0, 0, 0, 0, 0, 0], [0, 0, 4, 0, 4, 4, 4, 4, 4, 0], [4, 0, 0, 0, 0, 0, 4, 0, 0, 4], [4, 4, 0, 0, 0, 0, 0, 0, 4, 0], [0, 0, 4, 0, 4, 4, 0, 4, 0, 0], [0, 0, 4, 4, 4, 4, 0, 0, 0, 0], [4, 4, 0, 4, 4, 4, 0, 4, 0, 0], [4, 0, 0, 0, 0, 4, 0, 4, 0, 0], [4, 0, 0, 4, 4, 4, 4, 0, 0, 4], [0, 4, 0, 4, 4, 0, 0, 4, 4, 0]] -> [[6, 6, 6, 6, 6, 6, 0, 6, 0, 6], [6, 6, 6, 0, 6, 6, 6, 0, 6, 6], [6, 6, 0, 0, 0, 0, 6, 0, 0, 0], [6, 0, 6, 0, 6, 0, 6, 6, 6, 0], [6, 6, 6, 6, 6, 0, 6, 0, 6, 6], [6, 0, 6, 6, 6, 0, 0, 6, 6, 0], [6, 6, 0, 0, 6, 6, 0, 0, 6, 0], [6, 6, 0, 0, 0, 0, 0, 6, 0, 0], [6, 0, 0, 6, 6, 0, 6, 6, 0, 0], [0, 0, 6, 0, 6, 0, 0, 0, 6, 6]]\nExample input-output arrays:\n[[2, 2, 2, 0, 2, 0, 0, 0, 2, 2], [2, 2, 0, 2, 2, 2, 0, 0, 0, 0], [0, 0, 2, 0, 2, 2, 0, 0, 2, 0], [2, 2, 0, 2, 2, 2, 0, 2, 0, 0], [2, 2, 0, 0, 0, 2, 2, 0, 2, 0], [0, 0, 2, 2, 0, 2, 0, 2, 0, 2], [2, 2, 2, 0, 2, 0, 0, 2, 0, 0], [2, 2, 2, 0, 0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2, 0, 2, 0], [2, 0, 2, 0, 2, 0, 0, 2, 0, 0], [4, 0, 0, 4, 4, 4, 0, 4, 0, 0], [0, 4, 4, 0, 0, 0, 0, 4, 4, 0], [4, 0, 0, 0, 0, 4, 4, 0, 4, 4], [4, 0, 4, 4, 4, 0, 0, 4, 0, 4], [4, 0, 4, 0, 0, 0, 0, 0, 4, 0], [4, 4, 0, 4, 4, 0, 0, 4, 4, 0], [4, 0, 0, 0, 0, 0, 4, 0, 4, 4], [0, 4, 4, 0, 0, 4, 0, 4, 0, 0], [4, 0, 0, 4, 4, 0, 4, 4, 4, 4], [4, 0, 4, 4, 0, 4, 4, 0, 4, 4]] -> [[6, 6, 6, 6, 6, 6, 0, 6, 6, 6], [6, 0, 6, 6, 6, 6, 0, 6, 6, 0], [6, 0, 6, 0, 6, 0, 6, 0, 6, 6], [6, 6, 6, 0, 6, 6, 0, 0, 0, 6], [6, 6, 6, 0, 0, 6, 6, 0, 6, 0], [6, 6, 6, 0, 6, 6, 0, 0, 6, 6], [6, 6, 6, 0, 6, 0, 6, 6, 6, 6], [6, 0, 6, 0, 0, 6, 6, 6, 0, 0], [6, 0, 0, 6, 6, 0, 6, 6, 6, 6], [6, 0, 6, 6, 6, 6, 6, 6, 6, 6]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [0, 0, 4, 4, 4, 4, 4, 4, 4, 4], [4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 4, 0, 0, 4, 0, 0], [4, 0, 0, 4, 0, 4, 4, 4, 4, 0], [0, 0, 0, 0, 4, 4, 0, 4, 0, 0], [0, 0, 0, 0, 4, 4, 0, 0, 4, 4], [4, 0, 0, 0, 4, 0, 4, 4, 4, 0], [0, 4, 0, 4, 4, 4, 4, 4, 4, 4], [0, 0, 4, 4, 4, 0, 0, 0, 0, 0], [0, 4, 0, 4, 4, 4, 4, 0, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            0,
+                            0,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            4,
+                            0,
+                            0,
+                            4,
+                            0,
+                            0
+                        ],
+                        [
+                            4,
+                            0,
+                            0,
+                            4,
+                            0,
+                            4,
+                            4,
+                            4,
+                            4,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            4,
+                            4,
+                            0,
+                            4,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            4,
+                            4,
+                            0,
+                            0,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            0,
+                            0,
+                            0,
+                            4,
+                            0,
+                            4,
+                            4,
+                            4,
+                            0
+                        ],
+                        [
+                            0,
+                            4,
+                            0,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            0,
+                            0,
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            4,
+                            0,
+                            4,
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0
+                        ]
+                    ],
+                    "output": [
+                        [
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6
+                        ]
+                    ]
+                }
+            },
+            "Replicate 1": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 0, 0, 2, 0, 2, 2, 2, 0], [0, 2, 0, 0, 0, 0, 2, 2, 2, 0], [0, 0, 2, 0, 2, 0, 0, 0, 0, 2], [2, 2, 2, 0, 2, 2, 0, 2, 2, 0], [0, 0, 0, 0, 2, 2, 2, 0, 2, 0], [2, 2, 0, 0, 0, 2, 0, 0, 2, 0], [2, 2, 0, 0, 0, 2, 0, 0, 2, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [2, 2, 2, 2, 0, 2, 0, 0, 0, 0], [2, 0, 2, 0, 2, 0, 0, 0, 2, 2], [0, 4, 4, 0, 0, 4, 4, 0, 0, 0], [0, 4, 4, 0, 4, 4, 0, 0, 0, 0], [0, 0, 0, 4, 4, 4, 4, 0, 4, 0], [0, 0, 0, 4, 0, 4, 0, 0, 0, 4], [0, 0, 0, 0, 4, 4, 0, 4, 4, 0], [4, 0, 4, 4, 0, 0, 4, 4, 4, 4], [0, 4, 0, 4, 4, 4, 4, 0, 4, 0], [0, 4, 0, 0, 4, 0, 0, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 0, 0], [0, 4, 0, 0, 0, 4, 4, 0, 4, 0]] -> [[0, 6, 6, 0, 6, 6, 6, 6, 6, 0], [0, 0, 6, 0, 6, 6, 6, 6, 6, 0], [0, 0, 6, 6, 6, 6, 6, 0, 6, 6], [6, 6, 6, 6, 6, 0, 0, 6, 6, 6], [0, 0, 0, 0, 6, 0, 6, 6, 6, 0], [6, 6, 6, 6, 0, 6, 6, 6, 6, 6], [6, 0, 0, 6, 6, 0, 6, 0, 6, 0], [0, 6, 0, 6, 6, 0, 0, 6, 0, 0], [6, 6, 6, 6, 0, 6, 0, 6, 0, 0], [6, 6, 6, 0, 6, 6, 6, 0, 6, 6]]\nExample input-output arrays:\n[[0, 0, 0, 0, 2, 0, 2, 2, 2, 0], [0, 2, 0, 0, 0, 0, 2, 2, 2, 0], [0, 0, 2, 0, 2, 0, 0, 0, 0, 2], [2, 2, 2, 0, 2, 2, 0, 2, 2, 0], [0, 0, 0, 0, 2, 2, 2, 0, 2, 0], [2, 2, 0, 0, 0, 2, 0, 0, 2, 0], [2, 2, 0, 0, 0, 2, 0, 0, 2, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [2, 2, 2, 2, 0, 2, 0, 0, 0, 0], [2, 0, 2, 0, 2, 0, 0, 0, 2, 2], [0, 4, 4, 0, 0, 4, 4, 0, 0, 0], [0, 4, 4, 0, 4, 4, 0, 0, 0, 0], [0, 0, 0, 4, 4, 4, 4, 0, 4, 0], [0, 0, 0, 4, 0, 4, 0, 0, 0, 4], [0, 0, 0, 0, 4, 4, 0, 4, 4, 0], [4, 0, 4, 4, 0, 0, 4, 4, 4, 4], [0, 4, 0, 4, 4, 4, 4, 0, 4, 0], [0, 4, 0, 0, 4, 0, 0, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 0, 0], [0, 4, 0, 0, 0, 4, 4, 0, 4, 0]] -> [[0, 6, 6, 0, 6, 6, 6, 6, 6, 0], [0, 0, 6, 0, 6, 6, 6, 6, 6, 0], [0, 0, 6, 6, 6, 6, 6, 0, 6, 6], [6, 6, 6, 6, 6, 0, 0, 6, 6, 6], [0, 0, 0, 0, 6, 0, 6, 6, 6, 0], [6, 6, 6, 6, 0, 6, 6, 6, 6, 6], [6, 0, 0, 6, 6, 0, 6, 0, 6, 0], [0, 6, 0, 6, 6, 0, 0, 6, 0, 0], [6, 6, 6, 6, 0, 6, 0, 6, 0, 0], [6, 6, 6, 0, 6, 6, 6, 0, 6, 6]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [0, 4, 4, 4, 0, 0, 4, 4, 0, 0], [0, 4, 0, 4, 4, 0, 0, 0, 4, 0], [4, 0, 4, 4, 0, 0, 0, 4, 4, 4], [4, 0, 0, 0, 4, 0, 4, 0, 0, 0], [0, 4, 4, 4, 0, 0, 4, 4, 4, 0], [0, 4, 0, 0, 0, 4, 4, 0, 0, 4], [4, 4, 0, 0, 0, 4, 0, 4, 4, 0], [4, 0, 4, 0, 4, 4, 0, 4, 0, 4], [4, 0, 0, 4, 4, 4, 4, 0, 4, 0], [4, 4, 0, 4, 4, 4, 0, 4, 4, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            0,
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            4,
+                            4,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            4,
+                            0,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            4,
+                            0
+                        ],
+                        [
+                            4,
+                            0,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            0,
+                            0,
+                            0,
+                            4,
+                            0,
+                            4,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            4,
+                            4,
+                            4,
+                            0
+                        ],
+                        [
+                            0,
+                            4,
+                            0,
+                            0,
+                            0,
+                            4,
+                            4,
+                            0,
+                            0,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            4,
+                            0,
+                            4,
+                            4,
+                            0
+                        ],
+                        [
+                            4,
+                            0,
+                            4,
+                            0,
+                            4,
+                            4,
+                            0,
+                            4,
+                            0,
+                            4
+                        ],
+                        [
+                            4,
+                            0,
+                            0,
+                            4,
+                            4,
+                            4,
+                            4,
+                            0,
+                            4,
+                            0
+                        ],
+                        [
+                            4,
+                            4,
+                            0,
+                            4,
+                            4,
+                            4,
+                            0,
+                            4,
+                            4,
+                            0
+                        ]
+                    ],
+                    "output": [
+                        [
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0
+                        ],
+                        [
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6
+                        ]
+                    ]
+                }
+            },
+            "Replicate 2": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[2, 2, 2, 0, 2, 0, 0, 0, 2, 2], [2, 2, 0, 2, 2, 2, 0, 0, 0, 0], [0, 0, 2, 0, 2, 2, 0, 0, 2, 0], [2, 2, 0, 2, 2, 2, 0, 2, 0, 0], [2, 2, 0, 0, 0, 2, 2, 0, 2, 0], [0, 0, 2, 2, 0, 2, 0, 2, 0, 2], [2, 2, 2, 0, 2, 0, 0, 2, 0, 0], [2, 2, 2, 0, 0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2, 0, 2, 0], [2, 0, 2, 0, 2, 0, 0, 2, 0, 0], [4, 0, 0, 4, 4, 4, 0, 4, 0, 0], [0, 4, 4, 0, 0, 0, 0, 4, 4, 0], [4, 0, 0, 0, 0, 4, 4, 0, 4, 4], [4, 0, 4, 4, 4, 0, 0, 4, 0, 4], [4, 0, 4, 0, 0, 0, 0, 0, 4, 0], [4, 4, 0, 4, 4, 0, 0, 4, 4, 0], [4, 0, 0, 0, 0, 0, 4, 0, 4, 4], [0, 4, 4, 0, 0, 4, 0, 4, 0, 0], [4, 0, 0, 4, 4, 0, 4, 4, 4, 4], [4, 0, 4, 4, 0, 4, 4, 0, 4, 4]] -> [[6, 6, 6, 6, 6, 6, 0, 6, 6, 6], [6, 0, 6, 6, 6, 6, 0, 6, 6, 0], [6, 0, 6, 0, 6, 0, 6, 0, 6, 6], [6, 6, 6, 0, 6, 6, 0, 0, 0, 6], [6, 6, 6, 0, 0, 6, 6, 0, 6, 0], [6, 6, 6, 0, 6, 6, 0, 0, 6, 6], [6, 6, 6, 0, 6, 0, 6, 6, 6, 6], [6, 0, 6, 0, 0, 6, 6, 6, 0, 0], [6, 0, 0, 6, 6, 0, 6, 6, 6, 6], [6, 0, 6, 6, 6, 6, 6, 6, 6, 6]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[7, 7, 7, 0, 7, 0, 0, 0, 7, 7], [7, 7, 0, 7, 7, 7, 0, 0, 0, 0], [0, 0, 7, 0, 7, 7, 0, 0, 7, 0], [7, 7, 0, 7, 7, 7, 0, 7, 0, 0], [7, 7, 0, 0, 0, 7, 7, 0, 7, 0], [0, 0, 7, 7, 0, 7, 0, 7, 0, 7], [7, 7, 7, 0, 7, 0, 0, 7, 0, 0], [7, 7, 7, 0, 0, 0, 7, 0, 0, 0], [0, 0, 0, 0, 0, 0, 7, 0, 7, 0], [7, 0, 7, 0, 7, 0, 0, 7, 0, 0], [4, 0, 0, 4, 4, 4, 0, 4, 0, 0], [0, 4, 4, 0, 0, 0, 0, 4, 4, 0], [4, 0, 0, 0, 0, 4, 4, 0, 4, 4], [4, 0, 4, 4, 4, 0, 0, 4, 0, 4], [4, 0, 4, 0, 0, 0, 0, 0, 4, 0], [4, 4, 0, 4, 4, 0, 0, 4, 4, 0], [4, 0, 0, 0, 0, 0, 4, 0, 4, 4], [0, 4, 4, 0, 0, 4, 0, 4, 0, 0], [4, 0, 0, 4, 4, 0, 4, 4, 4, 4], [4, 0, 4, 4, 0, 4, 4, 0, 4, 4]] -> [[6, 6, 6, 6, 6, 6, 0, 6, 6, 6], [6, 0, 6, 6, 6, 6, 0, 6, 6, 0], [6, 0, 6, 0, 6, 0, 6, 0, 6, 6], [6, 6, 6, 0, 6, 6, 0, 0, 0, 6], [6, 6, 6, 0, 0, 6, 6, 0, 6, 0], [6, 6, 6, 0, 6, 6, 0, 0, 6, 6], [6, 6, 6, 0, 6, 0, 6, 6, 6, 6], [6, 0, 6, 0, 0, 6, 6, 6, 0, 0], [6, 0, 0, 6, 6, 0, 6, 6, 6, 6], [6, 0, 6, 6, 6, 6, 6, 6, 6, 6]]\nExample input-output arrays:\n[[0, 0, 0, 0, 2, 0, 2, 2, 2, 0], [0, 2, 0, 0, 0, 0, 2, 2, 2, 0], [0, 0, 2, 0, 2, 0, 0, 0, 0, 2], [2, 2, 2, 0, 2, 2, 0, 2, 2, 0], [0, 0, 0, 0, 2, 2, 2, 0, 2, 0], [2, 2, 0, 0, 0, 2, 0, 0, 2, 0], [2, 2, 0, 0, 0, 2, 0, 0, 2, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [2, 2, 2, 2, 0, 2, 0, 0, 0, 0], [2, 0, 2, 0, 2, 0, 0, 0, 2, 2], [0, 4, 4, 0, 0, 4, 4, 0, 0, 0], [0, 4, 4, 0, 4, 4, 0, 0, 0, 0], [0, 0, 0, 4, 4, 4, 4, 0, 4, 0], [0, 0, 0, 4, 0, 4, 0, 0, 0, 4], [0, 0, 0, 0, 4, 4, 0, 4, 4, 0], [4, 0, 4, 4, 0, 0, 4, 4, 4, 4], [0, 4, 0, 4, 4, 4, 4, 0, 4, 0], [0, 4, 0, 0, 4, 0, 0, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 0, 0], [0, 4, 0, 0, 0, 4, 4, 0, 4, 0]] -> [[0, 6, 6, 0, 6, 6, 6, 6, 6, 0], [0, 0, 6, 0, 6, 6, 6, 6, 6, 0], [0, 0, 6, 6, 6, 6, 6, 0, 6, 6], [6, 6, 6, 6, 6, 0, 0, 6, 6, 6], [0, 0, 0, 0, 6, 0, 6, 6, 6, 0], [6, 6, 6, 6, 0, 6, 6, 6, 6, 6], [6, 0, 0, 6, 6, 0, 6, 0, 6, 0], [0, 6, 0, 6, 6, 0, 0, 6, 0, 0], [6, 6, 6, 6, 0, 6, 0, 6, 0, 0], [6, 6, 6, 0, 6, 6, 6, 0, 6, 6]]\nCounterfactual: Now imagine that we intervened on the previous input by changing the causal function for some elements.\n[[2, 2, 2, 2, 0, 2, 0, 0, 0, 2], [2, 0, 2, 2, 2, 2, 0, 0, 0, 2], [2, 2, 0, 2, 0, 2, 2, 2, 2, 0], [0, 0, 0, 2, 0, 0, 2, 0, 0, 2], [2, 2, 2, 2, 0, 0, 0, 2, 0, 2], [0, 0, 2, 2, 2, 0, 2, 2, 0, 2], [0, 0, 2, 2, 2, 0, 2, 2, 0, 2], [2, 2, 2, 0, 2, 2, 2, 2, 2, 2], [0, 0, 0, 0, 2, 0, 2, 2, 2, 2], [0, 2, 0, 2, 0, 2, 2, 2, 0, 0], [0, 0, 0, 4, 4, 0, 4, 4, 0, 0], [0, 0, 4, 4, 0, 4, 4, 0, 4, 4], [4, 4, 4, 0, 4, 0, 0, 0, 4, 0], [0, 0, 4, 0, 4, 4, 0, 4, 4, 0], [0, 0, 4, 0, 4, 0, 0, 4, 4, 4], [0, 0, 4, 4, 0, 0, 0, 4, 0, 4], [0, 0, 0, 0, 0, 0, 4, 4, 4, 0], [4, 0, 0, 0, 4, 4, 0, 0, 0, 0], [4, 4, 0, 0, 0, 0, 4, 4, 4, 4], [0, 0, 4, 0, 0, 0, 4, 0, 4, 4]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2
+                        ],
+                        [
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            2
+                        ],
+                        [
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            0,
+                            2
+                        ],
+                        [
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            0,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            4,
+                            4,
+                            0,
+                            4,
+                            4,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            4,
+                            4,
+                            0,
+                            4,
+                            4,
+                            0,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            0,
+                            4,
+                            0,
+                            0,
+                            0,
+                            4,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            4,
+                            0,
+                            4,
+                            4,
+                            0,
+                            4,
+                            4,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            4,
+                            0,
+                            4,
+                            0,
+                            0,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            0,
+                            0,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            4,
+                            0,
+                            4
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            4,
+                            4,
+                            4,
+                            0
+                        ],
+                        [
+                            4,
+                            0,
+                            0,
+                            0,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0,
+                            4,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            0,
+                            0,
+                            4,
+                            0,
+                            0,
+                            0,
+                            4,
+                            0,
+                            4,
+                            4
+                        ]
+                    ],
+                    "output": [
+                        [
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6
+                        ],
+                        [
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0
+                        ],
+                        [
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0
+                        ],
+                        [
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ]
+                    ]
+                }
+            },
+            "Replicate 3": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 2, 0, 2, 0, 0, 0, 0, 2, 0], [0, 2, 2, 2, 2, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 2, 0, 0, 2], [2, 2, 0, 2, 2, 2, 0, 2, 0, 2], [2, 2, 0, 0, 0, 2, 2, 0, 2, 0], [2, 0, 2, 0, 0, 0, 2, 2, 0, 0], [0, 2, 2, 2, 2, 0, 0, 2, 2, 0], [2, 0, 2, 2, 2, 0, 0, 0, 2, 0], [2, 2, 2, 2, 0, 0, 0, 0, 2, 0], [2, 0, 2, 0, 0, 0, 2, 2, 0, 2], [4, 0, 4, 0, 4, 0, 0, 4, 4, 0], [4, 0, 4, 4, 4, 4, 4, 0, 0, 0], [4, 0, 4, 0, 4, 4, 0, 4, 0, 0], [4, 0, 0, 4, 0, 4, 0, 0, 4, 0], [0, 4, 0, 0, 4, 0, 4, 4, 0, 0], [0, 0, 4, 0, 0, 0, 4, 0, 4, 0], [0, 0, 0, 4, 4, 4, 4, 0, 4, 0], [4, 4, 0, 0, 0, 0, 0, 0, 0, 0], [4, 4, 0, 0, 4, 0, 0, 4, 4, 0], [0, 4, 4, 4, 4, 0, 4, 0, 0, 0]] -> [[6, 6, 6, 6, 6, 0, 0, 6, 6, 0], [6, 6, 6, 0, 6, 6, 6, 0, 0, 0], [6, 6, 6, 0, 6, 6, 6, 6, 0, 6], [6, 6, 0, 0, 6, 0, 0, 6, 6, 6], [6, 0, 0, 0, 6, 6, 6, 6, 6, 0], [6, 0, 6, 0, 0, 0, 6, 6, 6, 0], [0, 6, 6, 0, 6, 6, 6, 6, 6, 0], [6, 6, 6, 6, 6, 0, 0, 0, 6, 0], [6, 0, 6, 6, 6, 0, 0, 6, 6, 0], [6, 6, 6, 6, 6, 0, 6, 6, 0, 6]]\nCounterfactual: Now imagine that we intervened on the previous input by changing the causal function for some elements.\n[[2, 0, 2, 0, 2, 2, 2, 2, 0, 2], [2, 0, 0, 0, 0, 2, 2, 2, 2, 2], [2, 0, 0, 2, 2, 2, 0, 2, 2, 0], [0, 0, 2, 0, 0, 0, 2, 0, 2, 0], [0, 0, 2, 2, 2, 0, 0, 2, 0, 2], [0, 2, 0, 2, 2, 2, 0, 0, 2, 2], [2, 0, 0, 0, 0, 2, 2, 0, 0, 2], [0, 2, 0, 0, 0, 2, 2, 2, 0, 2], [0, 0, 0, 0, 2, 2, 2, 2, 0, 2], [0, 2, 0, 2, 2, 2, 0, 0, 2, 0], [0, 4, 0, 0, 0, 0, 4, 4, 0, 4], [4, 4, 4, 0, 4, 4, 4, 4, 4, 0], [4, 0, 0, 0, 4, 0, 0, 0, 4, 0], [0, 4, 0, 0, 0, 4, 0, 0, 4, 4], [4, 0, 0, 4, 0, 4, 0, 4, 0, 0], [0, 4, 0, 0, 4, 0, 0, 0, 0, 4], [0, 4, 4, 0, 0, 4, 0, 0, 0, 0], [4, 0, 4, 0, 4, 0, 0, 0, 4, 0], [0, 0, 4, 4, 0, 0, 4, 4, 4, 4], [0, 4, 4, 4, 4, 4, 0, 0, 0, 4]] -> [[6, 6, 6, 0, 6, 6, 6, 0, 0, 0], [6, 6, 6, 0, 6, 0, 6, 0, 6, 6], [6, 0, 0, 6, 6, 6, 0, 6, 6, 0], [0, 6, 6, 0, 0, 6, 6, 0, 6, 6], [6, 0, 6, 0, 6, 6, 0, 0, 0, 6], [0, 0, 0, 6, 6, 6, 0, 0, 6, 0], [6, 6, 6, 0, 0, 0, 6, 0, 0, 6], [6, 6, 6, 0, 6, 6, 6, 6, 6, 6], [0, 0, 6, 6, 6, 6, 6, 0, 6, 0], [0, 0, 6, 0, 6, 0, 0, 0, 6, 6]]\nExample input-output arrays:\n[[0, 0, 0, 2, 2, 2, 2, 0, 2, 0], [0, 0, 2, 2, 2, 0, 0, 0, 2, 2], [2, 2, 2, 2, 2, 2, 0, 2, 2, 0], [0, 0, 2, 2, 2, 2, 2, 2, 0, 0], [0, 0, 0, 2, 2, 2, 2, 0, 0, 2], [0, 0, 2, 2, 0, 2, 0, 2, 0, 2], [2, 0, 2, 2, 0, 2, 0, 2, 2, 2], [2, 2, 0, 0, 2, 2, 0, 2, 0, 0], [2, 0, 0, 2, 2, 2, 2, 2, 0, 2], [2, 0, 0, 0, 2, 0, 0, 2, 2, 0], [0, 0, 4, 0, 0, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 0, 0, 0, 0, 0], [4, 4, 0, 0, 0, 4, 0, 4, 4, 0], [0, 0, 0, 0, 4, 4, 0, 0, 0, 4], [4, 0, 4, 0, 4, 0, 4, 4, 4, 0], [0, 4, 4, 0, 4, 4, 4, 4, 4, 0], [4, 0, 0, 0, 4, 4, 0, 4, 4, 4], [0, 4, 4, 0, 4, 4, 4, 0, 4, 4], [0, 4, 4, 4, 0, 0, 0, 0, 4, 0], [0, 4, 4, 4, 0, 4, 4, 4, 0, 4]] -> [[0, 0, 6, 6, 6, 0, 6, 6, 6, 6], [6, 6, 6, 0, 6, 0, 0, 0, 6, 6], [6, 0, 6, 6, 6, 0, 0, 0, 6, 0], [0, 0, 6, 6, 6, 0, 6, 6, 0, 6], [6, 0, 6, 6, 6, 6, 6, 6, 6, 6], [0, 6, 6, 6, 6, 0, 6, 0, 6, 6], [6, 0, 6, 6, 6, 0, 0, 0, 6, 0], [6, 0, 6, 0, 6, 0, 6, 6, 6, 6], [6, 6, 6, 0, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 0, 6, 6]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, 4, 4, 0, 0, 0, 0, 0, 4, 4], [4, 0, 0, 4, 0, 4, 0, 0, 4, 4], [4, 4, 0, 0, 4, 4, 0, 4, 4, 4], [0, 0, 4, 4, 4, 4, 0, 0, 0, 0], [4, 0, 0, 4, 4, 0, 4, 0, 4, 0], [4, 4, 0, 4, 4, 0, 4, 0, 4, 0], [0, 4, 4, 0, 4, 0, 4, 0, 0, 4], [4, 0, 4, 0, 4, 4, 0, 4, 0, 4], [0, 4, 0, 4, 0, 4, 4, 4, 4, 4], [4, 4, 0, 4, 4, 0, 4, 4, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            0,
+                            0,
+                            4,
+                            0,
+                            4,
+                            0,
+                            0,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            0,
+                            0,
+                            4,
+                            4,
+                            0,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            0,
+                            0,
+                            4,
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            4,
+                            0,
+                            0,
+                            4,
+                            4,
+                            0,
+                            4,
+                            0,
+                            4,
+                            0
+                        ],
+                        [
+                            4,
+                            4,
+                            0,
+                            4,
+                            4,
+                            0,
+                            4,
+                            0,
+                            4,
+                            0
+                        ],
+                        [
+                            0,
+                            4,
+                            4,
+                            0,
+                            4,
+                            0,
+                            4,
+                            0,
+                            0,
+                            4
+                        ],
+                        [
+                            4,
+                            0,
+                            4,
+                            0,
+                            4,
+                            4,
+                            0,
+                            4,
+                            0,
+                            4
+                        ],
+                        [
+                            0,
+                            4,
+                            0,
+                            4,
+                            0,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            0,
+                            4,
+                            4,
+                            0,
+                            4,
+                            4,
+                            0,
+                            0
+                        ]
+                    ],
+                    "output": [
+                        [
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            0,
+                            0,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            0,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            6,
+                            0,
+                            0,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0
+                        ],
+                        [
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0
+                        ],
+                        [
+                            0,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0,
+                            6
+                        ],
+                        [
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0,
+                            0
+                        ]
+                    ]
+                }
+            },
+            "Replicate 4": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[2, 2, 2, 0, 2, 0, 0, 0, 2, 2], [2, 2, 0, 2, 2, 2, 0, 0, 0, 0], [0, 0, 2, 0, 2, 2, 0, 0, 2, 0], [2, 2, 0, 2, 2, 2, 0, 2, 0, 0], [2, 2, 0, 0, 0, 2, 2, 0, 2, 0], [0, 0, 2, 2, 0, 2, 0, 2, 0, 2], [2, 2, 2, 0, 2, 0, 0, 2, 0, 0], [2, 2, 2, 0, 0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2, 0, 2, 0], [2, 0, 2, 0, 2, 0, 0, 2, 0, 0], [4, 0, 0, 4, 4, 4, 0, 4, 0, 0], [0, 4, 4, 0, 0, 0, 0, 4, 4, 0], [4, 0, 0, 0, 0, 4, 4, 0, 4, 4], [4, 0, 4, 4, 4, 0, 0, 4, 0, 4], [4, 0, 4, 0, 0, 0, 0, 0, 4, 0], [4, 4, 0, 4, 4, 0, 0, 4, 4, 0], [4, 0, 0, 0, 0, 0, 4, 0, 4, 4], [0, 4, 4, 0, 0, 4, 0, 4, 0, 0], [4, 0, 0, 4, 4, 0, 4, 4, 4, 4], [4, 0, 4, 4, 0, 4, 4, 0, 4, 4]] -> [[6, 6, 6, 6, 6, 6, 0, 6, 6, 6], [6, 0, 6, 6, 6, 6, 0, 6, 6, 0], [6, 0, 6, 0, 6, 0, 6, 0, 6, 6], [6, 6, 6, 0, 6, 6, 0, 0, 0, 6], [6, 6, 6, 0, 0, 6, 6, 0, 6, 0], [6, 6, 6, 0, 6, 6, 0, 0, 6, 6], [6, 6, 6, 0, 6, 0, 6, 6, 6, 6], [6, 0, 6, 0, 0, 6, 6, 6, 0, 0], [6, 0, 0, 6, 6, 0, 6, 6, 6, 6], [6, 0, 6, 6, 6, 6, 6, 6, 6, 6]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[9, 9, 9, 0, 9, 0, 0, 0, 9, 9], [9, 9, 0, 9, 9, 9, 0, 0, 0, 0], [0, 0, 9, 0, 9, 9, 0, 0, 9, 0], [9, 9, 0, 9, 9, 9, 0, 9, 0, 0], [9, 9, 0, 0, 0, 9, 9, 0, 9, 0], [0, 0, 9, 9, 0, 9, 0, 9, 0, 9], [9, 9, 9, 0, 9, 0, 0, 9, 0, 0], [9, 9, 9, 0, 0, 0, 9, 0, 0, 0], [0, 0, 0, 0, 0, 0, 9, 0, 9, 0], [9, 0, 9, 0, 9, 0, 0, 9, 0, 0], [4, 0, 0, 4, 4, 4, 0, 4, 0, 0], [0, 4, 4, 0, 0, 0, 0, 4, 4, 0], [4, 0, 0, 0, 0, 4, 4, 0, 4, 4], [4, 0, 4, 4, 4, 0, 0, 4, 0, 4], [4, 0, 4, 0, 0, 0, 0, 0, 4, 0], [4, 4, 0, 4, 4, 0, 0, 4, 4, 0], [4, 0, 0, 0, 0, 0, 4, 0, 4, 4], [0, 4, 4, 0, 0, 4, 0, 4, 0, 0], [4, 0, 0, 4, 4, 0, 4, 4, 4, 4], [4, 0, 4, 4, 0, 4, 4, 0, 4, 4]] -> [[6, 6, 6, 6, 6, 6, 0, 6, 6, 6], [6, 0, 6, 6, 6, 6, 0, 6, 6, 0], [6, 0, 6, 0, 6, 0, 6, 0, 6, 6], [6, 6, 6, 0, 6, 6, 0, 0, 0, 6], [6, 6, 6, 0, 0, 6, 6, 0, 6, 0], [6, 6, 6, 0, 6, 6, 0, 0, 6, 6], [6, 6, 6, 0, 6, 0, 6, 6, 6, 6], [6, 0, 6, 0, 0, 6, 6, 6, 0, 0], [6, 0, 0, 6, 6, 0, 6, 6, 6, 6], [6, 0, 6, 6, 6, 6, 6, 6, 6, 6]]\nExample input-output arrays:\n[[0, 0, 2, 0, 0, 0, 2, 0, 2, 0], [0, 0, 0, 2, 0, 2, 0, 0, 0, 0], [0, 0, 2, 2, 2, 2, 0, 2, 2, 0], [2, 0, 0, 2, 0, 2, 0, 0, 0, 2], [0, 0, 2, 0, 2, 0, 0, 0, 0, 0], [0, 2, 2, 2, 2, 0, 2, 0, 0, 2], [2, 2, 2, 0, 2, 2, 2, 0, 0, 2], [0, 0, 2, 2, 2, 0, 2, 2, 2, 2], [0, 2, 2, 2, 0, 0, 0, 0, 2, 0], [2, 0, 0, 0, 0, 2, 2, 0, 2, 0], [0, 0, 0, 4, 4, 0, 0, 0, 0, 0], [0, 4, 0, 4, 0, 0, 0, 4, 0, 0], [0, 4, 4, 0, 4, 0, 0, 0, 4, 0], [4, 4, 0, 4, 0, 0, 4, 0, 4, 4], [4, 4, 0, 4, 4, 0, 0, 0, 0, 4], [4, 0, 4, 0, 4, 0, 4, 0, 4, 0], [0, 0, 4, 0, 0, 0, 4, 0, 4, 0], [0, 4, 0, 4, 4, 0, 0, 0, 4, 4], [4, 0, 4, 4, 4, 4, 4, 0, 0, 0], [0, 4, 0, 0, 4, 4, 0, 0, 4, 0]] -> [[0, 0, 6, 6, 6, 0, 6, 0, 6, 0], [0, 6, 0, 0, 0, 6, 0, 6, 0, 0], [0, 6, 6, 6, 6, 6, 0, 6, 6, 0], [6, 6, 0, 0, 0, 6, 6, 0, 6, 0], [6, 6, 6, 6, 6, 0, 0, 0, 0, 6], [6, 6, 6, 6, 6, 0, 6, 0, 6, 6], [6, 6, 6, 0, 6, 6, 6, 0, 6, 6], [0, 6, 6, 0, 6, 0, 6, 6, 6, 0], [6, 6, 6, 0, 6, 6, 6, 0, 6, 0], [6, 6, 0, 0, 6, 0, 6, 0, 6, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 0, 3, 0, 0, 0, 3, 0, 3, 0], [0, 0, 0, 3, 0, 3, 0, 0, 0, 0], [0, 0, 3, 3, 3, 3, 0, 3, 3, 0], [3, 0, 0, 3, 0, 3, 0, 0, 0, 3], [0, 0, 3, 0, 3, 0, 0, 0, 0, 0], [0, 3, 3, 3, 3, 0, 3, 0, 0, 3], [3, 3, 3, 0, 3, 3, 3, 0, 0, 3], [0, 0, 3, 3, 3, 0, 3, 3, 3, 3], [0, 3, 3, 3, 0, 0, 0, 0, 3, 0], [3, 0, 0, 0, 0, 3, 3, 0, 3, 0], [0, 0, 0, 4, 4, 0, 0, 0, 0, 0], [0, 4, 0, 4, 0, 0, 0, 4, 0, 0], [0, 4, 4, 0, 4, 0, 0, 0, 4, 0], [4, 4, 0, 4, 0, 0, 4, 0, 4, 4], [4, 4, 0, 4, 4, 0, 0, 0, 0, 4], [4, 0, 4, 0, 4, 0, 4, 0, 4, 0], [0, 0, 4, 0, 0, 0, 4, 0, 4, 0], [0, 4, 0, 4, 4, 0, 0, 0, 4, 4], [4, 0, 4, 4, 4, 4, 4, 0, 0, 0], [0, 4, 0, 0, 4, 4, 0, 0, 4, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0
+                        ],
+                        [
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0
+                        ],
+                        [
+                            3,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            4,
+                            0,
+                            4,
+                            0,
+                            0,
+                            0,
+                            4,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            4,
+                            4,
+                            0,
+                            4,
+                            0,
+                            0,
+                            0,
+                            4,
+                            0
+                        ],
+                        [
+                            4,
+                            4,
+                            0,
+                            4,
+                            0,
+                            0,
+                            4,
+                            0,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            0,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0,
+                            4
+                        ],
+                        [
+                            4,
+                            0,
+                            4,
+                            0,
+                            4,
+                            0,
+                            4,
+                            0,
+                            4,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            4,
+                            0,
+                            0,
+                            0,
+                            4,
+                            0,
+                            4,
+                            0
+                        ],
+                        [
+                            0,
+                            4,
+                            0,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            0,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            4,
+                            0,
+                            0,
+                            4,
+                            4,
+                            0,
+                            0,
+                            4,
+                            0
+                        ]
+                    ],
+                    "output": [
+                        [
+                            0,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0
+                        ],
+                        [
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0
+                        ],
+                        [
+                            6,
+                            6,
+                            0,
+                            0,
+                            0,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0
+                        ],
+                        [
+                            6,
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0
+                        ]
+                    ]
+                }
+            }
+        }
+    },
+    "SCMu3am!or!xor!axis1!15x15": {
+        "L1": {
+            "Replicate 0": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0], [1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1], [1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1], [0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0], [1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1], [0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1], [1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0], [1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1], [0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0], [0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0], [1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1], [0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0], [1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1], [1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0], [0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0], [0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0], [0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0], [0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0], [0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2], [2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2], [0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2], [0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0], [0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2], [0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0], [0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0], [0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0], [0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0], [0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2], [2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2]] -> [[0, 0, 3, 3, 3, 0, 3, 0, 3, 3, 3, 0, 3, 0, 0], [3, 0, 0, 3, 0, 3, 0, 3, 3, 0, 3, 3, 0, 0, 3], [3, 3, 3, 0, 3, 3, 3, 0, 0, 3, 0, 0, 3, 3, 3], [0, 0, 3, 3, 3, 3, 0, 0, 3, 0, 0, 3, 0, 0, 0], [3, 3, 3, 0, 3, 0, 3, 3, 3, 3, 3, 3, 0, 3, 3], [3, 3, 0, 3, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 3], [0, 3, 3, 3, 3, 0, 0, 0, 3, 0, 3, 3, 3, 0, 3], [3, 3, 0, 0, 3, 3, 3, 0, 3, 3, 3, 0, 3, 0, 0], [3, 0, 3, 0, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3], [0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 3, 0], [0, 0, 3, 0, 3, 3, 3, 0, 0, 3, 3, 0, 3, 0, 0], [3, 3, 3, 3, 3, 0, 0, 0, 3, 0, 0, 3, 3, 3, 3], [0, 0, 3, 3, 3, 0, 0, 3, 3, 3, 3, 0, 0, 3, 0], [3, 0, 3, 0, 3, 0, 3, 3, 3, 3, 0, 0, 3, 0, 3], [3, 0, 0, 0, 3, 3, 0, 0, 3, 3, 3, 0, 3, 3, 3]]\nExample input-output arrays:\n[[1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1], [1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1], [0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1], [0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1], [1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1], [1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0], [1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0], [1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0], [1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0], [1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1], [0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1], [1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0], [0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0], [1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1], [0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1], [0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0], [0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2], [0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0], [0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2], [0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2], [0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0], [0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0], [2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0], [0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0], [0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2], [0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2], [0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2], [2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0], [0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2], [0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0]] -> [[3, 3, 3, 3, 3, 3, 3, 0, 0, 3, 0, 0, 0, 3, 3], [3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 3, 3, 3], [0, 0, 3, 0, 3, 0, 0, 0, 3, 3, 0, 3, 3, 3, 3], [0, 3, 0, 3, 3, 0, 3, 3, 3, 3, 0, 3, 0, 3, 3], [3, 3, 3, 3, 0, 3, 3, 3, 3, 0, 0, 3, 3, 0, 3], [3, 0, 3, 0, 3, 3, 3, 0, 3, 0, 3, 3, 3, 0, 0], [3, 0, 3, 0, 3, 0, 3, 3, 3, 3, 3, 0, 3, 0, 0], [3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 0, 0], [3, 3, 0, 3, 3, 0, 3, 0, 3, 3, 3, 3, 3, 3, 0], [3, 3, 3, 0, 3, 0, 0, 0, 3, 3, 3, 0, 3, 0, 3], [0, 3, 0, 3, 3, 0, 3, 0, 3, 0, 0, 0, 3, 0, 3], [3, 3, 0, 3, 3, 0, 3, 3, 0, 3, 3, 3, 0, 3, 3], [3, 3, 0, 0, 0, 3, 3, 0, 3, 0, 3, 0, 3, 0, 0], [3, 0, 3, 0, 3, 0, 3, 3, 3, 3, 0, 0, 3, 0, 3], [0, 0, 3, 3, 0, 3, 3, 0, 3, 3, 3, 0, 3, 0, 3]]\nExample input-output arrays:\n[[0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0], [1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1], [1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1], [0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0], [1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1], [0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1], [1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0], [1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1], [0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0], [0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0], [1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1], [0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0], [1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1], [1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0], [0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0], [0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0], [0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0], [0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0], [0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2], [2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2], [0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2], [0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0], [0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2], [0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0], [0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0], [0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0], [0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0], [0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2], [2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2]] -> [[0, 0, 3, 3, 3, 0, 3, 0, 3, 3, 3, 0, 3, 0, 0], [3, 0, 0, 3, 0, 3, 0, 3, 3, 0, 3, 3, 0, 0, 3], [3, 3, 3, 0, 3, 3, 3, 0, 0, 3, 0, 0, 3, 3, 3], [0, 0, 3, 3, 3, 3, 0, 0, 3, 0, 0, 3, 0, 0, 0], [3, 3, 3, 0, 3, 0, 3, 3, 3, 3, 3, 3, 0, 3, 3], [3, 3, 0, 3, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 3], [0, 3, 3, 3, 3, 0, 0, 0, 3, 0, 3, 3, 3, 0, 3], [3, 3, 0, 0, 3, 3, 3, 0, 3, 3, 3, 0, 3, 0, 0], [3, 0, 3, 0, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3], [0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 3, 0], [0, 0, 3, 0, 3, 3, 3, 0, 0, 3, 3, 0, 3, 0, 0], [3, 3, 3, 3, 3, 0, 0, 0, 3, 0, 0, 3, 3, 3, 3], [0, 0, 3, 3, 3, 0, 0, 3, 3, 3, 3, 0, 0, 3, 0], [3, 0, 3, 0, 3, 0, 3, 3, 3, 3, 0, 0, 3, 0, 3], [3, 0, 0, 0, 3, 3, 0, 0, 3, 3, 3, 0, 3, 3, 3]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0], [2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0], [0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0], [2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0], [0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0], [0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0], [0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2], [2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2], [0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2], [0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0], [0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2], [2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0], [2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2]] -> ",
+                "test": {
+                    "input": [
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+                    "output": [
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+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3
+                        ],
+                        [
+                            3,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3
+                        ]
+                    ]
+                }
+            },
+            "Replicate 1": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1], [1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1], [0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1], [0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1], [1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1], [1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0], [1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0], [1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0], [1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0], [1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1], [0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1], [1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0], [0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0], [1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1], [0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1], [0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0], [0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2], [0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0], [0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2], [0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2], [0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0], [0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0], [2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0], [0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0], [0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2], [0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2], [0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2], [2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0], [0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2], [0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0]] -> [[3, 3, 3, 3, 3, 3, 3, 0, 0, 3, 0, 0, 0, 3, 3], [3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 3, 3, 3], [0, 0, 3, 0, 3, 0, 0, 0, 3, 3, 0, 3, 3, 3, 3], [0, 3, 0, 3, 3, 0, 3, 3, 3, 3, 0, 3, 0, 3, 3], [3, 3, 3, 3, 0, 3, 3, 3, 3, 0, 0, 3, 3, 0, 3], [3, 0, 3, 0, 3, 3, 3, 0, 3, 0, 3, 3, 3, 0, 0], [3, 0, 3, 0, 3, 0, 3, 3, 3, 3, 3, 0, 3, 0, 0], [3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 0, 0], [3, 3, 0, 3, 3, 0, 3, 0, 3, 3, 3, 3, 3, 3, 0], [3, 3, 3, 0, 3, 0, 0, 0, 3, 3, 3, 0, 3, 0, 3], [0, 3, 0, 3, 3, 0, 3, 0, 3, 0, 0, 0, 3, 0, 3], [3, 3, 0, 3, 3, 0, 3, 3, 0, 3, 3, 3, 0, 3, 3], [3, 3, 0, 0, 0, 3, 3, 0, 3, 0, 3, 0, 3, 0, 0], [3, 0, 3, 0, 3, 0, 3, 3, 3, 3, 0, 0, 3, 0, 3], [0, 0, 3, 3, 0, 3, 3, 0, 3, 3, 3, 0, 3, 0, 3]]\nExample input-output arrays:\n[[1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1], [0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1], [0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1], [1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0], [0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0], [0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1], [1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0], [0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1], [1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1], [1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1], [1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1], [0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1], [0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1], [2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0], [2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2], [2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2], [0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0], [0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0], [0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2], [2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0], [0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2], [0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2], [2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0], [0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2], [2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2], [0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0]] -> [[3, 3, 3, 0, 0, 0, 3, 3, 3, 0, 3, 3, 0, 3, 3], [3, 3, 3, 0, 3, 3, 3, 3, 3, 0, 3, 3, 3, 0, 3], [3, 0, 3, 0, 0, 0, 3, 3, 0, 3, 3, 3, 3, 3, 3], [0, 0, 3, 0, 0, 0, 3, 3, 3, 3, 3, 0, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0], [0, 0, 3, 0, 3, 3, 0, 0, 3, 3, 3, 3, 0, 3, 3], [3, 3, 0, 3, 3, 3, 0, 0, 0, 3, 0, 3, 0, 3, 3], [3, 3, 0, 3, 3, 0, 3, 3, 3, 3, 3, 0, 3, 0, 3], [0, 3, 3, 0, 0, 3, 0, 3, 3, 3, 3, 0, 0, 3, 3], [3, 0, 3, 3, 3, 0, 3, 3, 3, 3, 0, 3, 3, 3, 3], [3, 3, 3, 0, 3, 0, 3, 0, 0, 0, 3, 0, 0, 3, 0], [3, 0, 3, 3, 3, 3, 0, 3, 3, 3, 3, 0, 3, 3, 3], [3, 0, 3, 0, 3, 0, 3, 3, 0, 3, 3, 3, 3, 0, 3], [3, 3, 3, 0, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 3], [0, 0, 3, 3, 3, 0, 3, 0, 3, 3, 3, 3, 0, 0, 3]]\nExample input-output arrays:\n[[0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0], [1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1], [1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1], [0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0], [1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1], [0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1], [1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0], [1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1], [0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0], [0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0], [1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1], [0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0], [1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1], [1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0], [0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0], [0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0], [0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0], [0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0], [0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2], [2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2], [0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2], [0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0], [0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2], [0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0], [0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0], [0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0], [0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0], [0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2], [2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2]] -> [[0, 0, 3, 3, 3, 0, 3, 0, 3, 3, 3, 0, 3, 0, 0], [3, 0, 0, 3, 0, 3, 0, 3, 3, 0, 3, 3, 0, 0, 3], [3, 3, 3, 0, 3, 3, 3, 0, 0, 3, 0, 0, 3, 3, 3], [0, 0, 3, 3, 3, 3, 0, 0, 3, 0, 0, 3, 0, 0, 0], [3, 3, 3, 0, 3, 0, 3, 3, 3, 3, 3, 3, 0, 3, 3], [3, 3, 0, 3, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 3], [0, 3, 3, 3, 3, 0, 0, 0, 3, 0, 3, 3, 3, 0, 3], [3, 3, 0, 0, 3, 3, 3, 0, 3, 3, 3, 0, 3, 0, 0], [3, 0, 3, 0, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3], [0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 3, 0], [0, 0, 3, 0, 3, 3, 3, 0, 0, 3, 3, 0, 3, 0, 0], [3, 3, 3, 3, 3, 0, 0, 0, 3, 0, 0, 3, 3, 3, 3], [0, 0, 3, 3, 3, 0, 0, 3, 3, 3, 3, 0, 0, 3, 0], [3, 0, 3, 0, 3, 0, 3, 3, 3, 3, 0, 0, 3, 0, 3], [3, 0, 0, 0, 3, 3, 0, 0, 3, 3, 3, 0, 3, 3, 3]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0], [0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0], [0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0], [0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0], [1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1], [1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0], [0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1], [0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0], [0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1], [1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1], [0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1], [1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0], [0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1], [1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1], [0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            1,
+                            1,
+                            0,
+                            1,
+                            1,
+                            0,
+                            1,
+                            1,
+                            0,
+                            0,
+                            1,
+                            1,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            1,
+                            0,
+                            0,
+                            0,
+                            1,
+                            1,
+                            0,
+                            0,
+                            0,
+                            0,
+                            1,
+                            1,
+                            0
+                        ],
+                        [
+                            0,
+                            1,
+                            0,
+                            0,
+                            0,
+                            1,
+                            0,
+                            0,
+                            0,
+                            1,
+                            1,
+                            0,
+                            1,
+                            1,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            1,
+                            0,
+                            1,
+                            0,
+                            1,
+                            1,
+                            1,
+                            0,
+                            0,
+                            0,
+                            1,
+                            0
+                        ],
+                        [
+                            1,
+                            1,
+                            1,
+                            1,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            1,
+                            0,
+                            1
+                        ],
+                        [
+                            1,
+                            0,
+                            0,
+                            1,
+                            1,
+                            1,
+                            0,
+                            0,
+                            1,
+                            1,
+                            1,
+                            0,
+                            0,
+                            1,
+                            0
+                        ],
+                        [
+                            0,
+                            1,
+                            1,
+                            0,
+                            1,
+                            0,
+                            0,
+                            1,
+                            1,
+                            0,
+                            1,
+                            0,
+                            0,
+                            0,
+                            1
+                        ],
+                        [
+                            0,
+                            0,
+                            1,
+                            0,
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+                            1,
+                            1,
+                            1,
+                            0,
+                            1,
+                            0,
+                            0,
+                            0,
+                            1,
+                            0
+                        ],
+                        [
+                            0,
+                            1,
+                            0,
+                            1,
+                            0,
+                            0,
+                            1,
+                            1,
+                            0,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1
+                        ],
+                        [
+                            1,
+                            1,
+                            0,
+                            1,
+                            1,
+                            1,
+                            1,
+                            0,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            0,
+                            1
+                        ],
+                        [
+                            0,
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+                            1,
+                            1
+                        ],
+                        [
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+                        ],
+                        [
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+                            0,
+                            1
+                        ],
+                        [
+                            1,
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+                        ],
+                        [
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+                            1,
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+                        ],
+                        [
+                            0,
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+                            0,
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+                        ],
+                        [
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+                            0,
+                            0,
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+                            0,
+                            0,
+                            0,
+                            0,
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+                        ],
+                        [
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+                    "output": [
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+            },
+            "Replicate 2": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1], [0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1], [0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1], [1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0], [0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0], [0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1], [1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0], [0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1], [1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1], [1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1], [1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1], [0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1], [0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1], [2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0], [2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2], [2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2], [0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0], [0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0], [0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2], [2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0], [0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2], [0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2], [2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0], [0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2], [2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2], [0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0]] -> [[3, 3, 3, 0, 0, 0, 3, 3, 3, 0, 3, 3, 0, 3, 3], [3, 3, 3, 0, 3, 3, 3, 3, 3, 0, 3, 3, 3, 0, 3], [3, 0, 3, 0, 0, 0, 3, 3, 0, 3, 3, 3, 3, 3, 3], [0, 0, 3, 0, 0, 0, 3, 3, 3, 3, 3, 0, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0], [0, 0, 3, 0, 3, 3, 0, 0, 3, 3, 3, 3, 0, 3, 3], [3, 3, 0, 3, 3, 3, 0, 0, 0, 3, 0, 3, 0, 3, 3], [3, 3, 0, 3, 3, 0, 3, 3, 3, 3, 3, 0, 3, 0, 3], [0, 3, 3, 0, 0, 3, 0, 3, 3, 3, 3, 0, 0, 3, 3], [3, 0, 3, 3, 3, 0, 3, 3, 3, 3, 0, 3, 3, 3, 3], [3, 3, 3, 0, 3, 0, 3, 0, 0, 0, 3, 0, 0, 3, 0], [3, 0, 3, 3, 3, 3, 0, 3, 3, 3, 3, 0, 3, 3, 3], [3, 0, 3, 0, 3, 0, 3, 3, 0, 3, 3, 3, 3, 0, 3], [3, 3, 3, 0, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 3], [0, 0, 3, 3, 3, 0, 3, 0, 3, 3, 3, 3, 0, 0, 3]]\nExample input-output arrays:\n[[1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0], [0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0], [1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0], [1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1], [1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0], [1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1], [0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0], [1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1], [0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0], [0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0], [1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0], [1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1], [0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0], [0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1], [0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1], [2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2], [2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2], [0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0], [2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2], [2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2], [0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0], [0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0], [2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2], [2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2], [2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2], [0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2], [0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2]] -> [[3, 3, 3, 3, 0, 3, 3, 0, 3, 3, 3, 0, 0, 0, 3], [3, 0, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 0, 3], [3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 0, 0, 3, 0, 3], [3, 0, 0, 0, 3, 0, 0, 3, 3, 3, 3, 0, 0, 3, 3], [3, 3, 0, 3, 3, 0, 0, 3, 3, 3, 3, 0, 3, 3, 3], [3, 3, 3, 0, 3, 0, 3, 3, 0, 0, 0, 0, 3, 0, 3], [0, 3, 0, 3, 3, 3, 3, 0, 3, 3, 0, 0, 3, 0, 0], [3, 0, 0, 3, 0, 3, 0, 3, 3, 0, 3, 0, 3, 3, 3], [3, 3, 0, 0, 3, 3, 0, 3, 3, 3, 3, 0, 3, 3, 0], [3, 0, 3, 0, 3, 3, 0, 3, 3, 0, 3, 3, 3, 0, 3], [3, 0, 3, 0, 3, 3, 3, 0, 3, 0, 0, 3, 0, 3, 3], [3, 3, 3, 0, 0, 0, 3, 0, 3, 0, 3, 3, 3, 0, 3], [0, 0, 3, 0, 0, 0, 3, 3, 3, 3, 3, 3, 0, 3, 0], [0, 3, 3, 0, 0, 0, 3, 0, 3, 3, 3, 0, 0, 3, 3], [0, 3, 0, 0, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 3]]\nExample input-output arrays:\n[[1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1], [0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1], [0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1], [1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0], [0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0], [0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1], [1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0], [0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1], [1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1], [1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1], [1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1], [0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1], [0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1], [2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0], [2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2], [2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2], [0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0], [0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0], [0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2], [2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0], [0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2], [0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2], [2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0], [0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2], [2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2], [0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0]] -> [[3, 3, 3, 0, 0, 0, 3, 3, 3, 0, 3, 3, 0, 3, 3], [3, 3, 3, 0, 3, 3, 3, 3, 3, 0, 3, 3, 3, 0, 3], [3, 0, 3, 0, 0, 0, 3, 3, 0, 3, 3, 3, 3, 3, 3], [0, 0, 3, 0, 0, 0, 3, 3, 3, 3, 3, 0, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0], [0, 0, 3, 0, 3, 3, 0, 0, 3, 3, 3, 3, 0, 3, 3], [3, 3, 0, 3, 3, 3, 0, 0, 0, 3, 0, 3, 0, 3, 3], [3, 3, 0, 3, 3, 0, 3, 3, 3, 3, 3, 0, 3, 0, 3], [0, 3, 3, 0, 0, 3, 0, 3, 3, 3, 3, 0, 0, 3, 3], [3, 0, 3, 3, 3, 0, 3, 3, 3, 3, 0, 3, 3, 3, 3], [3, 3, 3, 0, 3, 0, 3, 0, 0, 0, 3, 0, 0, 3, 0], [3, 0, 3, 3, 3, 3, 0, 3, 3, 3, 3, 0, 3, 3, 3], [3, 0, 3, 0, 3, 0, 3, 3, 0, 3, 3, 3, 3, 0, 3], [3, 3, 3, 0, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 3], [0, 0, 3, 3, 3, 0, 3, 0, 3, 3, 3, 3, 0, 0, 3]]\nCounterfactual: Now imagine that we intervened on the previous input by changing the causal function for some elements.\n[[0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0], [1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1], [1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0], [1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0], [0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1], [1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1], [1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0], [0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1], [1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0], [0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0], [0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0], [0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0], [1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0], [1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0], [0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0], [2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0], [0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2], [2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2], [0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2], [0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0], [2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0], [2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0], [2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0], [2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2], [0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0], [2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0], [0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
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+                        [
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+                        ],
+                        [
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+                        [
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+                            0,
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+                        [
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+                        [
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+                        ],
+                        [
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+                        ],
+                        [
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+                        ],
+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                            2,
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+                        ],
+                        [
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+                            2
+                        ],
+                        [
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+                            0,
+                            2,
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+                            2,
+                            0,
+                            2,
+                            2,
+                            0,
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+                        ],
+                        [
+                            2,
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+                            0,
+                            2,
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+                            2,
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+                        ],
+                        [
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+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0
+                        ]
+                    ],
+                    "output": [
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0
+                        ],
+                        [
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+                            0,
+                            3,
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+                            0,
+                            0,
+                            3
+                        ],
+                        [
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+                            3,
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+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3
+                        ],
+                        [
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+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
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+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
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+                            0,
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+                            3,
+                            3,
+                            3,
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+                            3,
+                            3,
+                            3,
+                            0,
+                            3
+                        ],
+                        [
+                            3,
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+                            3,
+                            3,
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+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0
+                        ],
+                        [
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0
+                        ],
+                        [
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0
+                        ],
+                        [
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0
+                        ]
+                    ]
+                }
+            },
+            "Replicate 3": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1], [1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1], [0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1], [0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1], [1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1], [1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0], [1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0], [1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0], [1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0], [1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1], [0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1], [1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0], [0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0], [1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1], [0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1], [0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0], [0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2], [0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0], [0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2], [0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2], [0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0], [0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0], [2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0], [0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0], [0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2], [0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2], [0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2], [2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0], [0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2], [0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0]] -> [[3, 3, 3, 3, 3, 3, 3, 0, 0, 3, 0, 0, 0, 3, 3], [3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 3, 3, 3], [0, 0, 3, 0, 3, 0, 0, 0, 3, 3, 0, 3, 3, 3, 3], [0, 3, 0, 3, 3, 0, 3, 3, 3, 3, 0, 3, 0, 3, 3], [3, 3, 3, 3, 0, 3, 3, 3, 3, 0, 0, 3, 3, 0, 3], [3, 0, 3, 0, 3, 3, 3, 0, 3, 0, 3, 3, 3, 0, 0], [3, 0, 3, 0, 3, 0, 3, 3, 3, 3, 3, 0, 3, 0, 0], [3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 0, 0], [3, 3, 0, 3, 3, 0, 3, 0, 3, 3, 3, 3, 3, 3, 0], [3, 3, 3, 0, 3, 0, 0, 0, 3, 3, 3, 0, 3, 0, 3], [0, 3, 0, 3, 3, 0, 3, 0, 3, 0, 0, 0, 3, 0, 3], [3, 3, 0, 3, 3, 0, 3, 3, 0, 3, 3, 3, 0, 3, 3], [3, 3, 0, 0, 0, 3, 3, 0, 3, 0, 3, 0, 3, 0, 0], [3, 0, 3, 0, 3, 0, 3, 3, 3, 3, 0, 0, 3, 0, 3], [0, 0, 3, 3, 0, 3, 3, 0, 3, 3, 3, 0, 3, 0, 3]]\nExample input-output arrays:\n[[1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0], [0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0], [1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0], [1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1], [1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0], [1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1], [0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0], [1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1], [0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0], [0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0], [1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0], [1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1], [0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0], [0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1], [0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1], [2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2], [2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2], [0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0], [2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2], [2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2], [0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0], [0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0], [2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2], [2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2], [2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2], [0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2], [0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2]] -> [[3, 3, 3, 3, 0, 3, 3, 0, 3, 3, 3, 0, 0, 0, 3], [3, 0, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 0, 3], [3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 0, 0, 3, 0, 3], [3, 0, 0, 0, 3, 0, 0, 3, 3, 3, 3, 0, 0, 3, 3], [3, 3, 0, 3, 3, 0, 0, 3, 3, 3, 3, 0, 3, 3, 3], [3, 3, 3, 0, 3, 0, 3, 3, 0, 0, 0, 0, 3, 0, 3], [0, 3, 0, 3, 3, 3, 3, 0, 3, 3, 0, 0, 3, 0, 0], [3, 0, 0, 3, 0, 3, 0, 3, 3, 0, 3, 0, 3, 3, 3], [3, 3, 0, 0, 3, 3, 0, 3, 3, 3, 3, 0, 3, 3, 0], [3, 0, 3, 0, 3, 3, 0, 3, 3, 0, 3, 3, 3, 0, 3], [3, 0, 3, 0, 3, 3, 3, 0, 3, 0, 0, 3, 0, 3, 3], [3, 3, 3, 0, 0, 0, 3, 0, 3, 0, 3, 3, 3, 0, 3], [0, 0, 3, 0, 0, 0, 3, 3, 3, 3, 3, 3, 0, 3, 0], [0, 3, 3, 0, 0, 0, 3, 0, 3, 3, 3, 0, 0, 3, 3], [0, 3, 0, 0, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 3]]\nExample input-output arrays:\n[[1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1], [1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0], [0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0], [0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0], [0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0], [1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0], [0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1], [1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0], [1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0], [0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0], [1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1], [1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1], [1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1], [1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1], [2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2], [2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2], [0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2], [0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2], [2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0], [2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0], [0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2], [2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2], [0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0], [0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0], [2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0], [2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2], [2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0], [0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2], [0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0]] -> [[3, 0, 0, 0, 0, 0, 3, 0, 0, 0, 3, 3, 0, 3, 3], [3, 0, 0, 3, 3, 3, 3, 0, 3, 0, 3, 3, 3, 0, 3], [3, 3, 3, 3, 3, 3, 0, 3, 3, 0, 3, 0, 3, 3, 3], [0, 0, 0, 3, 0, 3, 0, 3, 3, 0, 0, 0, 3, 0, 3], [3, 3, 3, 3, 3, 3, 0, 0, 3, 0, 0, 0, 3, 0, 0], [3, 3, 0, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0], [3, 0, 3, 0, 3, 3, 3, 0, 3, 0, 3, 3, 3, 0, 3], [3, 0, 3, 3, 0, 0, 3, 3, 3, 0, 3, 0, 3, 0, 3], [3, 3, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 0, 3, 0], [3, 0, 3, 3, 0, 0, 3, 3, 0, 3, 3, 3, 3, 3, 0], [3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0], [3, 0, 3, 0, 3, 0, 3, 3, 0, 3, 3, 3, 3, 0, 3], [3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 3, 0, 3, 0, 3], [3, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 0, 3, 0, 3], [3, 0, 3, 3, 3, 3, 3, 3, 3, 0, 3, 0, 3, 3, 3]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2], [2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0], [2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0], [2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0], [0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0], [0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2], [0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0], [2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0], [0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0], [2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0], [2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2], [0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0], [2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2], [2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2], [0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2]] -> ",
+                "test": {
+                    "input": [
+                        [
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+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
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+                            1,
+                            1,
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+                            1
+                        ],
+                        [
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+                            1,
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+                            1
+                        ],
+                        [
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+                            1
+                        ],
+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                            0,
+                            0,
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+                        [
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+                        [
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+                        [
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+                        [
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+                        ],
+                        [
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+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2
+                        ],
+                        [
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2
+                        ],
+                        [
+                            0,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2
+                        ]
+                    ],
+                    "output": [
+                        [
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3
+                        ],
+                        [
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3
+                        ],
+                        [
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3
+                        ],
+                        [
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3
+                        ],
+                        [
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3
+                        ]
+                    ]
+                }
+            },
+            "Replicate 4": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0], [0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0], [1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0], [1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1], [1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0], [1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1], [0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0], [1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1], [0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0], [0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0], [1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0], [1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1], [0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0], [0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1], [0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1], [2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2], [2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2], [0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0], [2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2], [2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2], [0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0], [0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0], [2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2], [2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2], [2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2], [0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2], [0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2]] -> [[3, 3, 3, 3, 0, 3, 3, 0, 3, 3, 3, 0, 0, 0, 3], [3, 0, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 0, 3], [3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 0, 0, 3, 0, 3], [3, 0, 0, 0, 3, 0, 0, 3, 3, 3, 3, 0, 0, 3, 3], [3, 3, 0, 3, 3, 0, 0, 3, 3, 3, 3, 0, 3, 3, 3], [3, 3, 3, 0, 3, 0, 3, 3, 0, 0, 0, 0, 3, 0, 3], [0, 3, 0, 3, 3, 3, 3, 0, 3, 3, 0, 0, 3, 0, 0], [3, 0, 0, 3, 0, 3, 0, 3, 3, 0, 3, 0, 3, 3, 3], [3, 3, 0, 0, 3, 3, 0, 3, 3, 3, 3, 0, 3, 3, 0], [3, 0, 3, 0, 3, 3, 0, 3, 3, 0, 3, 3, 3, 0, 3], [3, 0, 3, 0, 3, 3, 3, 0, 3, 0, 0, 3, 0, 3, 3], [3, 3, 3, 0, 0, 0, 3, 0, 3, 0, 3, 3, 3, 0, 3], [0, 0, 3, 0, 0, 0, 3, 3, 3, 3, 3, 3, 0, 3, 0], [0, 3, 3, 0, 0, 0, 3, 0, 3, 3, 3, 0, 0, 3, 3], [0, 3, 0, 0, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 3]]\nExample input-output arrays:\n[[1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1], [0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1], [0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1], [1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0], [0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0], [0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1], [1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0], [0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1], [1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1], [1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1], [1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1], [0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1], [0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1], [2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0], [2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2], [2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2], [0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0], [0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0], [0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2], [2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0], [0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2], [0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2], [2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0], [0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2], [2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2], [0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0]] -> [[3, 3, 3, 0, 0, 0, 3, 3, 3, 0, 3, 3, 0, 3, 3], [3, 3, 3, 0, 3, 3, 3, 3, 3, 0, 3, 3, 3, 0, 3], [3, 0, 3, 0, 0, 0, 3, 3, 0, 3, 3, 3, 3, 3, 3], [0, 0, 3, 0, 0, 0, 3, 3, 3, 3, 3, 0, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0], [0, 0, 3, 0, 3, 3, 0, 0, 3, 3, 3, 3, 0, 3, 3], [3, 3, 0, 3, 3, 3, 0, 0, 0, 3, 0, 3, 0, 3, 3], [3, 3, 0, 3, 3, 0, 3, 3, 3, 3, 3, 0, 3, 0, 3], [0, 3, 3, 0, 0, 3, 0, 3, 3, 3, 3, 0, 0, 3, 3], [3, 0, 3, 3, 3, 0, 3, 3, 3, 3, 0, 3, 3, 3, 3], [3, 3, 3, 0, 3, 0, 3, 0, 0, 0, 3, 0, 0, 3, 0], [3, 0, 3, 3, 3, 3, 0, 3, 3, 3, 3, 0, 3, 3, 3], [3, 0, 3, 0, 3, 0, 3, 3, 0, 3, 3, 3, 3, 0, 3], [3, 3, 3, 0, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 3], [0, 0, 3, 3, 3, 0, 3, 0, 3, 3, 3, 3, 0, 0, 3]]\nExample input-output arrays:\n[[1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0], [0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0], [1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0], [1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1], [1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0], [1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1], [0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0], [1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1], [0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0], [0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0], [1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0], [1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1], [0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0], [0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1], [0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1], [2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2], [2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2], [0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0], [2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2], [2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2], [0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0], [0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0], [2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2], [2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2], [2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2], [0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2], [0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2]] -> [[3, 3, 3, 3, 0, 3, 3, 0, 3, 3, 3, 0, 0, 0, 3], [3, 0, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 0, 3], [3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 0, 0, 3, 0, 3], [3, 0, 0, 0, 3, 0, 0, 3, 3, 3, 3, 0, 0, 3, 3], [3, 3, 0, 3, 3, 0, 0, 3, 3, 3, 3, 0, 3, 3, 3], [3, 3, 3, 0, 3, 0, 3, 3, 0, 0, 0, 0, 3, 0, 3], [0, 3, 0, 3, 3, 3, 3, 0, 3, 3, 0, 0, 3, 0, 0], [3, 0, 0, 3, 0, 3, 0, 3, 3, 0, 3, 0, 3, 3, 3], [3, 3, 0, 0, 3, 3, 0, 3, 3, 3, 3, 0, 3, 3, 0], [3, 0, 3, 0, 3, 3, 0, 3, 3, 0, 3, 3, 3, 0, 3], [3, 0, 3, 0, 3, 3, 3, 0, 3, 0, 0, 3, 0, 3, 3], [3, 3, 3, 0, 0, 0, 3, 0, 3, 0, 3, 3, 3, 0, 3], [0, 0, 3, 0, 0, 0, 3, 3, 3, 3, 3, 3, 0, 3, 0], [0, 3, 3, 0, 0, 0, 3, 0, 3, 3, 3, 0, 0, 3, 3], [0, 3, 0, 0, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 3]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0], [0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2], [2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0], [0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0], [2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2], [2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0], [2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2], [0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2], [0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0], [0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0], [0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2], [0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0], [2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2], [2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2], [0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
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+        "L3": {
+            "Replicate 0": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0], [1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1], [1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1], [0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0], [1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1], [0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1], [1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0], [1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1], [0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0], [0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0], [1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1], [0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0], [1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1], [1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0], [0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0], [0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0], [0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0], [0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0], [0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2], [2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2], [0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2], [0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0], [0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2], [0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0], [0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0], [0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0], [0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0], [0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2], [2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2]] -> [[0, 0, 3, 3, 3, 0, 3, 0, 3, 3, 3, 0, 3, 0, 0], [3, 0, 0, 3, 0, 3, 0, 3, 3, 0, 3, 3, 0, 0, 3], [3, 3, 3, 0, 3, 3, 3, 0, 0, 3, 0, 0, 3, 3, 3], [0, 0, 3, 3, 3, 3, 0, 0, 3, 0, 0, 3, 0, 0, 0], [3, 3, 3, 0, 3, 0, 3, 3, 3, 3, 3, 3, 0, 3, 3], [3, 3, 0, 3, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 3], [0, 3, 3, 3, 3, 0, 0, 0, 3, 0, 3, 3, 3, 0, 3], [3, 3, 0, 0, 3, 3, 3, 0, 3, 3, 3, 0, 3, 0, 0], [3, 0, 3, 0, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3], [0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 3, 0], [0, 0, 3, 0, 3, 3, 3, 0, 0, 3, 3, 0, 3, 0, 0], [3, 3, 3, 3, 3, 0, 0, 0, 3, 0, 0, 3, 3, 3, 3], [0, 0, 3, 3, 3, 0, 0, 3, 3, 3, 3, 0, 0, 3, 0], [3, 0, 3, 0, 3, 0, 3, 3, 3, 3, 0, 0, 3, 0, 3], [3, 0, 0, 0, 3, 3, 0, 0, 3, 3, 3, 0, 3, 3, 3]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0], [2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0], [0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0], [2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2], [2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2], [2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2], [2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0], [0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0], [0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0], [0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2], [2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2], [0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2], [2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0], [2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2], [2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0]] -> [[3, 0, 3, 0, 3, 0, 3, 0, 3, 3, 3, 3, 3, 3, 3], [3, 0, 3, 3, 3, 0, 3, 0, 3, 3, 3, 3, 3, 0, 3], [3, 3, 3, 3, 3, 0, 3, 0, 3, 0, 3, 3, 3, 3, 3], [3, 3, 3, 0, 3, 0, 3, 0, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 0, 3, 3, 3, 0, 3, 3, 3, 0, 3, 0, 3], [3, 0, 3, 0, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 0, 3, 3, 3, 0, 3, 0, 3, 0, 3, 3, 3, 3, 3], [3, 0, 3, 0, 3, 0, 3, 3, 3, 0, 3, 0, 3, 0, 3], [3, 0, 3, 0, 3, 0, 3, 3, 3, 3, 3, 0, 3, 3, 3], [3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3], [3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 0, 3, 3, 3, 0, 3, 0, 3, 3, 3, 3, 3, 0, 3], [3, 3, 3, 0, 3, 3, 3, 0, 3, 0, 3, 0, 3, 3, 3], [3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 0, 3, 3, 3], [3, 0, 3, 3, 3, 0, 3, 3, 3, 3, 3, 0, 3, 0, 3]]\nExample input-output arrays:\n[[1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0], [0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0], [1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0], [1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1], [1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0], [1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1], [0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0], [1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1], [0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0], [0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0], [1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0], [1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1], [0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0], [0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1], [0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1], [2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2], [2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2], [0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0], [2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2], [2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2], [0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0], [0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0], [2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2], [2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2], [2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2], [0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2], [0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2]] -> [[3, 3, 3, 3, 0, 3, 3, 0, 3, 3, 3, 0, 0, 0, 3], [3, 0, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 0, 3], [3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 0, 0, 3, 0, 3], [3, 0, 0, 0, 3, 0, 0, 3, 3, 3, 3, 0, 0, 3, 3], [3, 3, 0, 3, 3, 0, 0, 3, 3, 3, 3, 0, 3, 3, 3], [3, 3, 3, 0, 3, 0, 3, 3, 0, 0, 0, 0, 3, 0, 3], [0, 3, 0, 3, 3, 3, 3, 0, 3, 3, 0, 0, 3, 0, 0], [3, 0, 0, 3, 0, 3, 0, 3, 3, 0, 3, 0, 3, 3, 3], [3, 3, 0, 0, 3, 3, 0, 3, 3, 3, 3, 0, 3, 3, 0], [3, 0, 3, 0, 3, 3, 0, 3, 3, 0, 3, 3, 3, 0, 3], [3, 0, 3, 0, 3, 3, 3, 0, 3, 0, 0, 3, 0, 3, 3], [3, 3, 3, 0, 0, 0, 3, 0, 3, 0, 3, 3, 3, 0, 3], [0, 0, 3, 0, 0, 0, 3, 3, 3, 3, 3, 3, 0, 3, 0], [0, 3, 3, 0, 0, 0, 3, 0, 3, 3, 3, 0, 0, 3, 3], [0, 3, 0, 0, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 3]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[7, 7, 0, 7, 0, 0, 0, 0, 7, 7, 7, 0, 0, 7, 0], [0, 0, 7, 0, 7, 7, 7, 7, 7, 0, 7, 0, 0, 7, 0], [7, 0, 0, 7, 7, 7, 7, 7, 7, 7, 0, 0, 0, 7, 0], [7, 7, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7], [7, 0, 0, 7, 7, 7, 0, 0, 0, 0, 7, 7, 0, 7, 0], [7, 7, 7, 7, 7, 7, 7, 7, 0, 0, 0, 7, 0, 7, 7], [0, 0, 0, 7, 7, 7, 0, 7, 7, 0, 0, 0, 0, 7, 0], [7, 7, 0, 0, 0, 0, 0, 7, 7, 0, 7, 7, 7, 0, 7], [0, 7, 0, 0, 0, 7, 0, 7, 7, 7, 7, 0, 7, 0, 0], [0, 0, 0, 0, 7, 7, 0, 0, 7, 7, 7, 7, 0, 7, 0], [7, 0, 0, 0, 7, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0], [7, 0, 7, 7, 0, 0, 7, 0, 7, 7, 7, 7, 0, 7, 7], [0, 7, 7, 7, 0, 0, 0, 7, 7, 0, 0, 7, 0, 7, 0], [0, 7, 7, 0, 0, 0, 7, 7, 7, 7, 7, 7, 0, 7, 7], [0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 7], [2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2], [2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2], [0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0], [2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2], [2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2], [0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0], [0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0], [2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2], [2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2], [2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2], [0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2], [0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2]] -> ",
+                "test": {
+                    "input": [
+                        [
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+                            7,
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+                            0
+                        ],
+                        [
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+                            7,
+                            7,
+                            7,
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+                            0,
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+                            0
+                        ],
+                        [
+                            7,
+                            0,
+                            0,
+                            7,
+                            7,
+                            7,
+                            7,
+                            7,
+                            7,
+                            7,
+                            0,
+                            0,
+                            0,
+                            7,
+                            0
+                        ],
+                        [
+                            7,
+                            7,
+                            0,
+                            0,
+                            0,
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+                            0,
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+                            0,
+                            0,
+                            0,
+                            0,
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+                            7
+                        ],
+                        [
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+                            7,
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+                            0,
+                            0,
+                            0,
+                            7,
+                            7,
+                            0,
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+                            0
+                        ],
+                        [
+                            7,
+                            7,
+                            7,
+                            7,
+                            7,
+                            7,
+                            7,
+                            7,
+                            0,
+                            0,
+                            0,
+                            7,
+                            0,
+                            7,
+                            7
+                        ],
+                        [
+                            0,
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+                            0,
+                            7,
+                            7,
+                            7,
+                            0,
+                            7,
+                            7,
+                            0,
+                            0,
+                            0,
+                            0,
+                            7,
+                            0
+                        ],
+                        [
+                            7,
+                            7,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            7,
+                            7,
+                            0,
+                            7,
+                            7,
+                            7,
+                            0,
+                            7
+                        ],
+                        [
+                            0,
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+                            0,
+                            0,
+                            0,
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+                            0,
+                            7,
+                            7,
+                            7,
+                            7,
+                            0,
+                            7,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
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+                            0,
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+                        ],
+                        [
+                            7,
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+                        [
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+                            7
+                        ],
+                        [
+                            0,
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+                            7,
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+                            0,
+                            0,
+                            0,
+                            7,
+                            7,
+                            0,
+                            0,
+                            7,
+                            0,
+                            7,
+                            0
+                        ],
+                        [
+                            0,
+                            7,
+                            7,
+                            0,
+                            0,
+                            0,
+                            7,
+                            7,
+                            7,
+                            7,
+                            7,
+                            7,
+                            0,
+                            7,
+                            7
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
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+                            0,
+                            7,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            7,
+                            7,
+                            0,
+                            7
+                        ],
+                        [
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
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+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
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+                            0,
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+                        [
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+                        [
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+                        [
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+                        [
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+                            0,
+                            2,
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+                        [
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+                        [
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+                            2,
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+                            2,
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+                        [
+                            2,
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+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
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+                            2,
+                            0,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
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+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
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+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            2,
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+                        [
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+                            0,
+                            0,
+                            2,
+                            0,
+                            2,
+                            2,
+                            0,
+                            2
+                        ]
+                    ],
+                    "output": [
+                        [
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
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+                        ],
+                        [
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+                            3,
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+                            3,
+                            3,
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+                        ],
+                        [
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+                            3,
+                            3,
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+                        ],
+                        [
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+                            3,
+                            3,
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+                        ],
+                        [
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+                            3,
+                            3,
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+                            3,
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+                            3,
+                            3
+                        ],
+                        [
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+                            0,
+                            3
+                        ],
+                        [
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+                            0,
+                            3,
+                            3,
+                            3,
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+                            0,
+                            3,
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+                            0,
+                            0,
+                            3,
+                            0,
+                            0
+                        ],
+                        [
+                            3,
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+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
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+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0
+                        ],
+                        [
+                            3,
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+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
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+                            0,
+                            3
+                        ],
+                        [
+                            3,
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+                            3,
+                            3,
+                            0,
+                            3,
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+                            0,
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+                            3,
+                            3
+                        ],
+                        [
+                            3,
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+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
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+                            0,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0
+                        ],
+                        [
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3
+                        ],
+                        [
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3
+                        ]
+                    ]
+                }
+            },
+            "Replicate 1": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1], [1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0], [0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0], [0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0], [0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0], [1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0], [0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1], [1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0], [1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0], [0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0], [1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1], [1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1], [1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1], [1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1], [2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2], [2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2], [0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2], [0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2], [2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0], [2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0], [0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2], [2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2], [0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0], [0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0], [2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0], [2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2], [2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0], [0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2], [0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0]] -> [[3, 0, 0, 0, 0, 0, 3, 0, 0, 0, 3, 3, 0, 3, 3], [3, 0, 0, 3, 3, 3, 3, 0, 3, 0, 3, 3, 3, 0, 3], [3, 3, 3, 3, 3, 3, 0, 3, 3, 0, 3, 0, 3, 3, 3], [0, 0, 0, 3, 0, 3, 0, 3, 3, 0, 0, 0, 3, 0, 3], [3, 3, 3, 3, 3, 3, 0, 0, 3, 0, 0, 0, 3, 0, 0], [3, 3, 0, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0], [3, 0, 3, 0, 3, 3, 3, 0, 3, 0, 3, 3, 3, 0, 3], [3, 0, 3, 3, 0, 0, 3, 3, 3, 0, 3, 0, 3, 0, 3], [3, 3, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 0, 3, 0], [3, 0, 3, 3, 0, 0, 3, 3, 0, 3, 3, 3, 3, 3, 0], [3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0], [3, 0, 3, 0, 3, 0, 3, 3, 0, 3, 3, 3, 3, 0, 3], [3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 3, 0, 3, 0, 3], [3, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 0, 3, 0, 3], [3, 0, 3, 3, 3, 3, 3, 3, 3, 0, 3, 0, 3, 3, 3]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1], [0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0], [0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1], [1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1], [1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1], [0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1], [1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0], [0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0], [0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1], [1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1], [1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0], [1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1], [1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1], [1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1], [1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]] -> [[3, 0, 3, 0, 3, 0, 3, 3, 3, 3, 3, 0, 3, 3, 3], [3, 0, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3], [3, 0, 3, 0, 3, 3, 3, 0, 3, 3, 3, 0, 3, 3, 3], [3, 0, 3, 0, 3, 0, 3, 3, 3, 0, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 0, 3, 0, 3, 3, 3, 3, 3, 3, 3], [3, 0, 3, 3, 3, 3, 3, 0, 3, 0, 3, 3, 3, 0, 3], [3, 3, 3, 0, 3, 3, 3, 0, 3, 0, 3, 3, 3, 0, 3], [3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3], [3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3], [3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 3, 3, 0, 3], [3, 0, 3, 0, 3, 3, 3, 0, 3, 0, 3, 3, 3, 3, 3], [3, 3, 3, 0, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3], [3, 3, 3, 0, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 0, 3, 0, 3, 3, 3, 0, 3, 3, 3], [3, 3, 3, 0, 3, 3, 3, 0, 3, 0, 3, 3, 3, 3, 3]]\nExample input-output arrays:\n[[1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0], [0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0], [1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0], [1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1], [1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0], [1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1], [0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0], [1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1], [0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0], [0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0], [1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0], [1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1], [0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0], [0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1], [0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1], [2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2], [2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2], [0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0], [2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2], [2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2], [0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0], [0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0], [2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2], [2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2], [2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2], [0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2], [0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2]] -> [[3, 3, 3, 3, 0, 3, 3, 0, 3, 3, 3, 0, 0, 0, 3], [3, 0, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 0, 3], [3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 0, 0, 3, 0, 3], [3, 0, 0, 0, 3, 0, 0, 3, 3, 3, 3, 0, 0, 3, 3], [3, 3, 0, 3, 3, 0, 0, 3, 3, 3, 3, 0, 3, 3, 3], [3, 3, 3, 0, 3, 0, 3, 3, 0, 0, 0, 0, 3, 0, 3], [0, 3, 0, 3, 3, 3, 3, 0, 3, 3, 0, 0, 3, 0, 0], [3, 0, 0, 3, 0, 3, 0, 3, 3, 0, 3, 0, 3, 3, 3], [3, 3, 0, 0, 3, 3, 0, 3, 3, 3, 3, 0, 3, 3, 0], [3, 0, 3, 0, 3, 3, 0, 3, 3, 0, 3, 3, 3, 0, 3], [3, 0, 3, 0, 3, 3, 3, 0, 3, 0, 0, 3, 0, 3, 3], [3, 3, 3, 0, 0, 0, 3, 0, 3, 0, 3, 3, 3, 0, 3], [0, 0, 3, 0, 0, 0, 3, 3, 3, 3, 3, 3, 0, 3, 0], [0, 3, 3, 0, 0, 0, 3, 0, 3, 3, 3, 0, 0, 3, 3], [0, 3, 0, 0, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 3]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1], [1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0], [1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0], [0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1], [1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0], [0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0], [0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0], [0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0], [1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0], [0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0], [0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0], [0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0], [1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0], [0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            1,
+                            1,
+                            0,
+                            1,
+                            0,
+                            1,
+                            0,
+                            1,
+                            0,
+                            1,
+                            1,
+                            1,
+                            0,
+                            1,
+                            1
+                        ],
+                        [
+                            1,
+                            0,
+                            1,
+                            1,
+                            1,
+                            0,
+                            1,
+                            1,
+                            1,
+                            1,
+                            0,
+                            1,
+                            1,
+                            1,
+                            0
+                        ],
+                        [
+                            1,
+                            1,
+                            1,
+                            0,
+                            1,
+                            0,
+                            0,
+                            1,
+                            0,
+                            0,
+                            1,
+                            0,
+                            1,
+                            1,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            1,
+                            0,
+                            1,
+                            0,
+                            0,
+                            0,
+                            1,
+                            0,
+                            1,
+                            1,
+                            1
+                        ],
+                        [
+                            1,
+                            0,
+                            0,
+                            1,
+                            1,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            1,
+                            0,
+                            1,
+                            1,
+                            0
+                        ],
+                        [
+                            0,
+                            1,
+                            0,
+                            1,
+                            1,
+                            1,
+                            0,
+                            1,
+                            1,
+                            0,
+                            1,
+                            1,
+                            1,
+                            1,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            1,
+                            0,
+                            0,
+                            1,
+                            0,
+                            1,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            1,
+                            0,
+                            0,
+                            1,
+                            0,
+                            1,
+                            0,
+                            0,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1
+                        ],
+                        [
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            0,
+                            1,
+                            0,
+                            1,
+                            0,
+                            1,
+                            0,
+                            0
+                        ],
+                        [
+                            1,
+                            1,
+                            1,
+                            0,
+                            0,
+                            1,
+                            0,
+                            1,
+                            1,
+                            1,
+                            1,
+                            0,
+                            1,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
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+                            1,
+                            0
+                        ],
+                        [
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+                            1,
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+                            1,
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+                            1,
+                            0
+                        ],
+                        [
+                            0,
+                            1,
+                            1,
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+                            1,
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+                            1,
+                            1,
+                            1,
+                            0,
+                            1,
+                            0,
+                            0,
+                            1,
+                            0
+                        ],
+                        [
+                            1,
+                            0,
+                            0,
+                            1,
+                            0,
+                            1,
+                            1,
+                            1,
+                            0,
+                            1,
+                            0,
+                            0,
+                            1,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
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+                            0,
+                            1,
+                            0,
+                            1,
+                            1,
+                            0,
+                            1,
+                            0,
+                            0,
+                            1,
+                            1,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
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+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
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+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
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+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
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+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
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+                            0,
+                            0,
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+                            0,
+                            0,
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+                        ],
+                        [
+                            0,
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+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
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+                            0,
+                            0,
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+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
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+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
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+                        ],
+                        [
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+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ]
+                    ],
+                    "output": [
+                        [
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
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+                            0,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
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+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
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+                        ],
+                        [
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+                            0,
+                            0,
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+                            3,
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+                        ],
+                        [
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+                            3,
+                            3,
+                            3,
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+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
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+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
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+                            3,
+                            0,
+                            0,
+                            3,
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+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0
+                        ],
+                        [
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0
+                        ],
+                        [
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0
+                        ],
+                        [
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0
+                        ]
+                    ]
+                }
+            },
+            "Replicate 2": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1], [0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1], [0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1], [1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0], [0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0], [0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1], [1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0], [0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1], [1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1], [1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1], [1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1], [0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1], [0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1], [2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0], [2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2], [2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2], [0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0], [0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0], [0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2], [2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0], [0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2], [0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2], [2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0], [0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2], [2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2], [0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0]] -> [[3, 3, 3, 0, 0, 0, 3, 3, 3, 0, 3, 3, 0, 3, 3], [3, 3, 3, 0, 3, 3, 3, 3, 3, 0, 3, 3, 3, 0, 3], [3, 0, 3, 0, 0, 0, 3, 3, 0, 3, 3, 3, 3, 3, 3], [0, 0, 3, 0, 0, 0, 3, 3, 3, 3, 3, 0, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0], [0, 0, 3, 0, 3, 3, 0, 0, 3, 3, 3, 3, 0, 3, 3], [3, 3, 0, 3, 3, 3, 0, 0, 0, 3, 0, 3, 0, 3, 3], [3, 3, 0, 3, 3, 0, 3, 3, 3, 3, 3, 0, 3, 0, 3], [0, 3, 3, 0, 0, 3, 0, 3, 3, 3, 3, 0, 0, 3, 3], [3, 0, 3, 3, 3, 0, 3, 3, 3, 3, 0, 3, 3, 3, 3], [3, 3, 3, 0, 3, 0, 3, 0, 0, 0, 3, 0, 0, 3, 0], [3, 0, 3, 3, 3, 3, 0, 3, 3, 3, 3, 0, 3, 3, 3], [3, 0, 3, 0, 3, 0, 3, 3, 0, 3, 3, 3, 3, 0, 3], [3, 3, 3, 0, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 3], [0, 0, 3, 3, 3, 0, 3, 0, 3, 3, 3, 3, 0, 0, 3]]\nCounterfactual: Now imagine that we intervened on the previous input by changing the causal function for some elements.\n[[0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0], [1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1], [1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0], [1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0], [0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1], [1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1], [1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0], [0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1], [1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0], [0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0], [0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0], [0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0], [1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0], [1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0], [0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0], [2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0], [0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2], [2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2], [0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2], [0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0], [2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0], [2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0], [2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0], [2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2], [0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0], [2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0], [0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0]] -> [[0, 0, 0, 0, 3, 0, 3, 0, 0, 0, 3, 3, 3, 0, 0], [3, 3, 0, 0, 3, 0, 3, 0, 3, 3, 3, 0, 0, 0, 3], [3, 0, 0, 3, 3, 0, 3, 0, 3, 3, 0, 0, 0, 3, 3], [3, 0, 3, 3, 3, 0, 3, 0, 3, 3, 3, 0, 3, 3, 3], [3, 3, 3, 0, 3, 3, 3, 3, 3, 0, 3, 0, 3, 3, 3], [3, 0, 0, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 0, 3], [3, 3, 3, 3, 0, 3, 3, 0, 3, 3, 3, 3, 3, 0, 0], [3, 3, 3, 0, 0, 0, 3, 0, 0, 0, 3, 3, 0, 3, 3], [3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 0, 3, 3, 0], [3, 0, 0, 0, 3, 3, 0, 3, 0, 3, 3, 0, 0, 0, 0], [3, 0, 3, 0, 3, 0, 3, 3, 3, 0, 3, 3, 3, 3, 3], [0, 3, 3, 3, 0, 0, 3, 3, 3, 3, 0, 3, 0, 3, 3], [0, 0, 3, 3, 0, 0, 3, 3, 3, 3, 3, 0, 3, 3, 0], [3, 0, 0, 0, 3, 3, 0, 3, 3, 0, 3, 3, 3, 3, 0], [3, 0, 0, 0, 3, 0, 3, 0, 3, 3, 0, 3, 3, 0, 0]]\nExample input-output arrays:\n[[1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0], [0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0], [1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0], [1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1], [1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0], [1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1], [0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0], [1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1], [0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0], [0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0], [1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0], [1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1], [0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0], [0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1], [0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1], [2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2], [2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2], [0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0], [2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2], [2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2], [0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0], [0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0], [2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2], [2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2], [2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2], [0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2], [0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2]] -> [[3, 3, 3, 3, 0, 3, 3, 0, 3, 3, 3, 0, 0, 0, 3], [3, 0, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 0, 3], [3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 0, 0, 3, 0, 3], [3, 0, 0, 0, 3, 0, 0, 3, 3, 3, 3, 0, 0, 3, 3], [3, 3, 0, 3, 3, 0, 0, 3, 3, 3, 3, 0, 3, 3, 3], [3, 3, 3, 0, 3, 0, 3, 3, 0, 0, 0, 0, 3, 0, 3], [0, 3, 0, 3, 3, 3, 3, 0, 3, 3, 0, 0, 3, 0, 0], [3, 0, 0, 3, 0, 3, 0, 3, 3, 0, 3, 0, 3, 3, 3], [3, 3, 0, 0, 3, 3, 0, 3, 3, 3, 3, 0, 3, 3, 0], [3, 0, 3, 0, 3, 3, 0, 3, 3, 0, 3, 3, 3, 0, 3], [3, 0, 3, 0, 3, 3, 3, 0, 3, 0, 0, 3, 0, 3, 3], [3, 3, 3, 0, 0, 0, 3, 0, 3, 0, 3, 3, 3, 0, 3], [0, 0, 3, 0, 0, 0, 3, 3, 3, 3, 3, 3, 0, 3, 0], [0, 3, 3, 0, 0, 0, 3, 0, 3, 3, 3, 0, 0, 3, 3], [0, 3, 0, 0, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 3]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1], [0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0], [1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0], [1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1], [1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0], [0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1], [1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1], [0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1], [0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1], [0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0], [1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0], [0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0], [1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0], [1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1], [1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            1,
+                            0,
+                            0,
+                            0,
+                            1,
+                            0,
+                            0,
+                            0,
+                            0,
+                            1,
+                            0,
+                            0,
+                            1,
+                            1,
+                            1
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            1,
+                            1,
+                            1,
+                            0,
+                            0,
+                            0,
+                            0,
+                            1,
+                            0,
+                            0,
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+                    ],
+                    "output": [
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+                    ]
+                }
+            },
+            "Replicate 3": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1], [1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1], [0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1], [0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1], [1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1], [1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0], [1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0], [1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0], [1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0], [1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1], [0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1], [1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0], [0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0], [1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1], [0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1], [0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0], [0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2], [0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0], [0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2], [0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2], [0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0], [0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0], [2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0], [0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0], [0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2], [0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2], [0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2], [2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0], [0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2], [0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0]] -> [[3, 3, 3, 3, 3, 3, 3, 0, 0, 3, 0, 0, 0, 3, 3], [3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 3, 3, 3], [0, 0, 3, 0, 3, 0, 0, 0, 3, 3, 0, 3, 3, 3, 3], [0, 3, 0, 3, 3, 0, 3, 3, 3, 3, 0, 3, 0, 3, 3], [3, 3, 3, 3, 0, 3, 3, 3, 3, 0, 0, 3, 3, 0, 3], [3, 0, 3, 0, 3, 3, 3, 0, 3, 0, 3, 3, 3, 0, 0], [3, 0, 3, 0, 3, 0, 3, 3, 3, 3, 3, 0, 3, 0, 0], [3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 0, 0], [3, 3, 0, 3, 3, 0, 3, 0, 3, 3, 3, 3, 3, 3, 0], [3, 3, 3, 0, 3, 0, 0, 0, 3, 3, 3, 0, 3, 0, 3], [0, 3, 0, 3, 3, 0, 3, 0, 3, 0, 0, 0, 3, 0, 3], [3, 3, 0, 3, 3, 0, 3, 3, 0, 3, 3, 3, 0, 3, 3], [3, 3, 0, 0, 0, 3, 3, 0, 3, 0, 3, 0, 3, 0, 0], [3, 0, 3, 0, 3, 0, 3, 3, 3, 3, 0, 0, 3, 0, 3], [0, 0, 3, 3, 0, 3, 3, 0, 3, 3, 3, 0, 3, 0, 3]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0], [1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1], [1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0], [1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1], [1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1], [0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1], [0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0], [1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0], [1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0], [1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1], [1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0], [1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1], [1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0], [1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]] -> [[3, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 0, 3, 0, 3], [3, 3, 3, 3, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3], [3, 0, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3], [3, 0, 3, 0, 3, 0, 3, 0, 3, 3, 3, 3, 3, 3, 3], [3, 0, 3, 3, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3], [3, 3, 3, 0, 3, 3, 3, 0, 3, 3, 3, 3, 3, 0, 3], [3, 3, 3, 0, 3, 3, 3, 0, 3, 3, 3, 0, 3, 0, 3], [3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 0, 3, 3, 3], [3, 0, 3, 3, 3, 3, 3, 0, 3, 3, 3, 0, 3, 3, 3], [3, 3, 3, 3, 3, 0, 3, 3, 3, 0, 3, 0, 3, 3, 3], [3, 0, 3, 0, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 0, 3, 0, 3, 0, 3, 3, 3, 3, 3], [3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 0, 3, 0, 3, 3, 3, 3, 3, 0, 3, 0, 3, 3, 3], [3, 0, 3, 0, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3]]\nExample input-output arrays:\n[[1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0], [0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0], [1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0], [1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1], [1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0], [1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1], [0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0], [1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1], [0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0], [0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0], [1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0], [1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1], [0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0], [0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1], [0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1], [2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2], [2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2], [0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0], [2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2], [2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2], [0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0], [0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0], [2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2], [2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2], [2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2], [0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2], [0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2]] -> [[3, 3, 3, 3, 0, 3, 3, 0, 3, 3, 3, 0, 0, 0, 3], [3, 0, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 0, 3], [3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 0, 0, 3, 0, 3], [3, 0, 0, 0, 3, 0, 0, 3, 3, 3, 3, 0, 0, 3, 3], [3, 3, 0, 3, 3, 0, 0, 3, 3, 3, 3, 0, 3, 3, 3], [3, 3, 3, 0, 3, 0, 3, 3, 0, 0, 0, 0, 3, 0, 3], [0, 3, 0, 3, 3, 3, 3, 0, 3, 3, 0, 0, 3, 0, 0], [3, 0, 0, 3, 0, 3, 0, 3, 3, 0, 3, 0, 3, 3, 3], [3, 3, 0, 0, 3, 3, 0, 3, 3, 3, 3, 0, 3, 3, 0], [3, 0, 3, 0, 3, 3, 0, 3, 3, 0, 3, 3, 3, 0, 3], [3, 0, 3, 0, 3, 3, 3, 0, 3, 0, 0, 3, 0, 3, 3], [3, 3, 3, 0, 0, 0, 3, 0, 3, 0, 3, 3, 3, 0, 3], [0, 0, 3, 0, 0, 0, 3, 3, 3, 3, 3, 3, 0, 3, 0], [0, 3, 3, 0, 0, 0, 3, 0, 3, 3, 3, 0, 0, 3, 3], [0, 3, 0, 0, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 3]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0], [2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0], [0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0], [2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0], [2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0], [2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0], [2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0], [2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0], [2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0], [0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0], [2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2], [0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2], [0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
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+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1
+                        ],
+                        [
+                            1,
+                            1,
+                            1,
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+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1
+                        ],
+                        [
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1
+                        ],
+                        [
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1
+                        ],
+                        [
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1
+                        ],
+                        [
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1
+                        ],
+                        [
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1
+                        ],
+                        [
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1
+                        ],
+                        [
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1
+                        ],
+                        [
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1
+                        ],
+                        [
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1
+                        ],
+                        [
+                            1,
+                            1,
+                            1,
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+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1
+                        ],
+                        [
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1
+                        ],
+                        [
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1
+                        ],
+                        [
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0
+                        ],
+                        [
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0
+                        ],
+                        [
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0
+                        ],
+                        [
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0
+                        ],
+                        [
+                            2,
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+                            0,
+                            0,
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+                            2,
+                            0,
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+                        ],
+                        [
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+                            0,
+                            0,
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+                            2,
+                            2,
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+                            2,
+                            0,
+                            2,
+                            2,
+                            0
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            2,
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+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            2,
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+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0
+                        ],
+                        [
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2
+                        ],
+                        [
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2
+                        ],
+                        [
+                            0,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0
+                        ]
+                    ],
+                    "output": [
+                        [
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
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+                            3,
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+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
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+                            3
+                        ],
+                        [
+                            3,
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+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3
+                        ],
+                        [
+                            3,
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+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3
+                        ],
+                        [
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3
+                        ],
+                        [
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3
+                        ],
+                        [
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3
+                        ],
+                        [
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3
+                        ]
+                    ]
+                }
+            },
+            "Replicate 4": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0], [1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1], [1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1], [0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0], [1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1], [0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1], [1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0], [1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1], [0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0], [0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0], [1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1], [0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0], [1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1], [1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0], [0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0], [0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0], [0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0], [0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0], [0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2], [2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2], [0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2], [0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0], [0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2], [0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0], [0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0], [0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0], [0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0], [0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2], [2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2]] -> [[0, 0, 3, 3, 3, 0, 3, 0, 3, 3, 3, 0, 3, 0, 0], [3, 0, 0, 3, 0, 3, 0, 3, 3, 0, 3, 3, 0, 0, 3], [3, 3, 3, 0, 3, 3, 3, 0, 0, 3, 0, 0, 3, 3, 3], [0, 0, 3, 3, 3, 3, 0, 0, 3, 0, 0, 3, 0, 0, 0], [3, 3, 3, 0, 3, 0, 3, 3, 3, 3, 3, 3, 0, 3, 3], [3, 3, 0, 3, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 3], [0, 3, 3, 3, 3, 0, 0, 0, 3, 0, 3, 3, 3, 0, 3], [3, 3, 0, 0, 3, 3, 3, 0, 3, 3, 3, 0, 3, 0, 0], [3, 0, 3, 0, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3], [0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 3, 0], [0, 0, 3, 0, 3, 3, 3, 0, 0, 3, 3, 0, 3, 0, 0], [3, 3, 3, 3, 3, 0, 0, 0, 3, 0, 0, 3, 3, 3, 3], [0, 0, 3, 3, 3, 0, 0, 3, 3, 3, 3, 0, 0, 3, 0], [3, 0, 3, 0, 3, 0, 3, 3, 3, 3, 0, 0, 3, 0, 3], [3, 0, 0, 0, 3, 3, 0, 0, 3, 3, 3, 0, 3, 3, 3]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1], [0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1], [0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0], [0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1], [0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1], [0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0], [1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1], [0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1], [0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1], [0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0], [1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0], [0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1], [1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1], [1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1], [0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]] -> [[3, 3, 3, 0, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 0, 3, 0, 3, 0, 3, 0, 3, 3, 3, 0, 3, 3, 3], [3, 0, 3, 0, 3, 3, 3, 3, 3, 0, 3, 0, 3, 0, 3], [3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3], [3, 0, 3, 3, 3, 0, 3, 0, 3, 0, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 0, 3, 3, 3], [3, 0, 3, 0, 3, 3, 3, 0, 3, 0, 3, 3, 3, 3, 3], [3, 0, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3], [3, 3, 3, 3, 3, 3, 3, 0, 3, 0, 3, 0, 3, 3, 3], [3, 0, 3, 3, 3, 0, 3, 3, 3, 3, 3, 0, 3, 0, 3], [3, 0, 3, 0, 3, 0, 3, 0, 3, 3, 3, 0, 3, 3, 3], [3, 0, 3, 3, 3, 0, 3, 0, 3, 0, 3, 3, 3, 3, 3], [3, 0, 3, 0, 3, 0, 3, 3, 3, 0, 3, 0, 3, 0, 3], [3, 0, 3, 3, 3, 0, 3, 0, 3, 0, 3, 0, 3, 3, 3], [3, 0, 3, 0, 3, 3, 3, 0, 3, 0, 3, 3, 3, 3, 3]]\nExample input-output arrays:\n[[1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1], [1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0], [0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0], [0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0], [0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0], [1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0], [0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1], [1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0], [1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0], [0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0], [1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1], [1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1], [1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1], [1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1], [2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2], [2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2], [0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2], [0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2], [2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0], [2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0], [0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2], [2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2], [0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0], [0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0], [2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0], [2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2], [2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0], [0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2], [0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0]] -> [[3, 0, 0, 0, 0, 0, 3, 0, 0, 0, 3, 3, 0, 3, 3], [3, 0, 0, 3, 3, 3, 3, 0, 3, 0, 3, 3, 3, 0, 3], [3, 3, 3, 3, 3, 3, 0, 3, 3, 0, 3, 0, 3, 3, 3], [0, 0, 0, 3, 0, 3, 0, 3, 3, 0, 0, 0, 3, 0, 3], [3, 3, 3, 3, 3, 3, 0, 0, 3, 0, 0, 0, 3, 0, 0], [3, 3, 0, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0], [3, 0, 3, 0, 3, 3, 3, 0, 3, 0, 3, 3, 3, 0, 3], [3, 0, 3, 3, 0, 0, 3, 3, 3, 0, 3, 0, 3, 0, 3], [3, 3, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 0, 3, 0], [3, 0, 3, 3, 0, 0, 3, 3, 0, 3, 3, 3, 3, 3, 0], [3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0], [3, 0, 3, 0, 3, 0, 3, 3, 0, 3, 3, 3, 3, 0, 3], [3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 3, 0, 3, 0, 3], [3, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 0, 3, 0, 3], [3, 0, 3, 3, 3, 3, 3, 3, 3, 0, 3, 0, 3, 3, 3]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[9, 9, 0, 0, 0, 9, 0, 9, 0, 0, 0, 9, 0, 9, 9], [9, 0, 0, 9, 9, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0], [9, 9, 9, 0, 9, 0, 0, 9, 9, 0, 9, 0, 9, 0, 0], [0, 0, 0, 0, 0, 9, 0, 0, 9, 9, 0, 9, 0, 0, 0], [0, 0, 0, 9, 9, 9, 0, 0, 9, 9, 0, 9, 0, 9, 0], [0, 9, 0, 0, 0, 9, 9, 0, 9, 0, 9, 9, 0, 0, 0], [9, 0, 9, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0], [0, 0, 0, 9, 0, 9, 9, 0, 9, 0, 9, 9, 9, 9, 9], [9, 9, 0, 9, 0, 0, 0, 0, 0, 9, 9, 0, 0, 0, 0], [9, 9, 0, 9, 0, 9, 9, 9, 0, 0, 9, 9, 9, 9, 0], [0, 0, 9, 0, 9, 0, 9, 9, 9, 0, 0, 9, 9, 0, 0], [9, 9, 9, 0, 9, 9, 0, 0, 0, 0, 9, 0, 9, 0, 9], [9, 0, 9, 9, 9, 9, 9, 0, 0, 0, 9, 0, 0, 9, 9], [9, 0, 9, 0, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0, 9], [9, 9, 0, 0, 9, 0, 0, 9, 9, 9, 9, 0, 0, 9, 9], [2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2], [2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2], [0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2], [0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2], [2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0], [2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0], [0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2], [2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2], [0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0], [0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0], [2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0], [2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2], [2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0], [0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2], [0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            9,
+                            9,
+                            0,
+                            0,
+                            0,
+                            9,
+                            0,
+                            9,
+                            0,
+                            0,
+                            0,
+                            9,
+                            0,
+                            9,
+                            9
+                        ],
+                        [
+                            9,
+                            0,
+                            0,
+                            9,
+                            9,
+                            9,
+                            9,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            9,
+                            9,
+                            9,
+                            0,
+                            9,
+                            0,
+                            0,
+                            9,
+                            9,
+                            0,
+                            9,
+                            0,
+                            9,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            9,
+                            0,
+                            0,
+                            9,
+                            9,
+                            0,
+                            9,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            9,
+                            9,
+                            9,
+                            0,
+                            0,
+                            9,
+                            9,
+                            0,
+                            9,
+                            0,
+                            9,
+                            0
+                        ],
+                        [
+                            0,
+                            9,
+                            0,
+                            0,
+                            0,
+                            9,
+                            9,
+                            0,
+                            9,
+                            0,
+                            9,
+                            9,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            9,
+                            0,
+                            9,
+                            0,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            9,
+                            0,
+                            9,
+                            9,
+                            0,
+                            9,
+                            0,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9
+                        ],
+                        [
+                            9,
+                            9,
+                            0,
+                            9,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            9,
+                            9,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            9,
+                            9,
+                            0,
+                            9,
+                            0,
+                            9,
+                            9,
+                            9,
+                            0,
+                            0,
+                            9,
+                            9,
+                            9,
+                            9,
+                            0
+                        ],
+                        [
+                            0,
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+                            0,
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+                            0,
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+                            9,
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+                            0,
+                            0
+                        ],
+                        [
+                            9,
+                            9,
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+                            9,
+                            0,
+                            0,
+                            0,
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+                            0,
+                            9,
+                            0,
+                            9
+                        ],
+                        [
+                            9,
+                            0,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            0,
+                            0,
+                            0,
+                            9,
+                            0,
+                            0,
+                            9,
+                            9
+                        ],
+                        [
+                            9,
+                            0,
+                            9,
+                            0,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            0,
+                            9,
+                            0,
+                            0,
+                            0,
+                            9
+                        ],
+                        [
+                            9,
+                            9,
+                            0,
+                            0,
+                            9,
+                            0,
+                            0,
+                            9,
+                            9,
+                            9,
+                            9,
+                            0,
+                            0,
+                            9,
+                            9
+                        ],
+                        [
+                            2,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2
+                        ],
+                        [
+                            2,
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+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            2,
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+                        [
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+                    ],
+                    "output": [
+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                    ]
+                }
+            }
+        }
+    },
+    "SCMu3am!or!xor!axis1!20x20": {
+        "L1": {
+            "Replicate 0": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 5, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 5, 5, 0, 0, 5, 0, 0, 0], [0, 0, 5, 0, 5, 5, 5, 0, 5, 5, 0, 5, 0, 5, 5, 5, 0, 0, 0, 5], [0, 0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 5, 5, 0, 0], [0, 5, 5, 5, 5, 0, 0, 0, 0, 5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 0], [0, 5, 5, 5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 0, 5, 5, 5, 5, 5, 5], [0, 5, 0, 0, 5, 5, 0, 5, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 5], [5, 5, 0, 0, 5, 5, 0, 0, 0, 5, 5, 5, 5, 5, 5, 5, 0, 0, 0, 5], [5, 0, 5, 0, 0, 5, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0], [5, 5, 0, 5, 5, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 5], [0, 0, 0, 0, 0, 5, 0, 0, 5, 0, 5, 0, 0, 5, 0, 5, 5, 5, 5, 0], [0, 0, 0, 5, 0, 5, 5, 0, 0, 5, 5, 0, 0, 5, 0, 5, 0, 5, 0, 5], [5, 0, 5, 0, 5, 0, 0, 5, 0, 5, 5, 0, 5, 5, 5, 5, 5, 5, 5, 0], [5, 0, 5, 5, 0, 5, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 5, 0, 0, 0], [0, 5, 5, 0, 0, 5, 5, 0, 0, 5, 5, 0, 5, 0, 0, 5, 5, 5, 5, 5], [5, 0, 5, 0, 5, 5, 0, 5, 0, 5, 0, 5, 5, 5, 0, 0, 0, 0, 5, 0], [0, 5, 5, 0, 5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 5, 0, 0, 5, 5], [0, 5, 5, 0, 0, 0, 5, 0, 0, 5, 0, 0, 5, 5, 0, 0, 0, 0, 0, 5], [5, 5, 0, 0, 0, 5, 5, 0, 5, 5, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0], [0, 5, 0, 0, 5, 5, 0, 5, 0, 0, 5, 5, 0, 5, 5, 0, 5, 0, 0, 5], [0, 6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 6, 0], [0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 6, 6, 0, 6, 6, 0, 0], [0, 6, 0, 6, 6, 0, 0, 6, 0, 6, 6, 6, 6, 0, 0, 0, 6, 6, 0, 0], [6, 0, 6, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6, 6, 6, 0, 0, 0, 6, 0], [0, 0, 6, 6, 6, 0, 0, 6, 6, 6, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6], [0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6, 0, 0, 6, 0, 6, 0, 6, 6, 6], [0, 0, 6, 0, 6, 6, 0, 0, 0, 6, 6, 6, 0, 0, 0, 6, 6, 6, 6, 6], [0, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 6, 0, 0], [6, 0, 0, 0, 6, 6, 6, 0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 0, 6], [6, 6, 6, 0, 0, 6, 0, 6, 0, 6, 0, 0, 0, 6, 0, 0, 0, 0, 6, 6], [6, 6, 0, 6, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [0, 6, 0, 0, 6, 0, 0, 6, 6, 6, 0, 0, 6, 6, 0, 6, 0, 6, 0, 0], [6, 6, 0, 6, 0, 0, 6, 0, 6, 6, 6, 6, 6, 0, 0, 0, 6, 6, 0, 0], [6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 0, 6, 0, 6, 6, 6, 0, 6, 0, 0], [0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 6, 0, 6, 0, 0, 6, 0, 6, 6, 0], [6, 6, 6, 0, 0, 0, 0, 6, 0, 0, 6, 6, 0, 6, 0, 0, 0, 6, 6, 0], [6, 6, 0, 6, 6, 0, 0, 6, 0, 6, 6, 6, 0, 0, 6, 6, 0, 0, 0, 6], [0, 6, 0, 0, 0, 0, 6, 0, 6, 6, 6, 6, 6, 0, 6, 0, 6, 6, 0, 0], [0, 6, 0, 0, 0, 0, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6, 0, 6, 0], [6, 6, 6, 6, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6]] -> [[0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 0], [0, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7, 0, 0, 7, 7, 7, 7, 0, 7], [0, 7, 0, 7, 7, 7, 0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0], [7, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 0, 0, 7, 0], [0, 7, 7, 0, 7, 7, 7, 0, 7, 0, 0, 0, 7, 7, 7, 7, 7, 0, 7, 0], [0, 0, 7, 7, 7, 0, 7, 7, 0, 0, 7, 0, 0, 7, 7, 0, 7, 7, 7, 0], [7, 7, 7, 0, 7, 0, 0, 0, 0, 0, 7, 0, 7, 7, 7, 0, 7, 7, 7, 0], [7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 0, 7, 0, 0, 0, 0, 0], [7, 7, 0, 7, 7, 7, 7, 0, 0, 7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 0], [7, 7, 7, 0, 0, 0, 0, 7, 7, 7, 7, 0, 0, 0, 0, 7, 7, 7, 7, 7], [7, 7, 0, 0, 7, 0, 7, 7, 0, 0, 7, 7, 7, 0, 7, 0, 7, 0, 7, 0], [7, 7, 7, 0, 7, 0, 0, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0], [7, 7, 7, 0, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 0], [7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 7, 7, 7, 7, 7, 0, 7, 0, 7, 7], [7, 0, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 0, 7, 0, 7, 7, 0], [7, 0, 7, 0, 7, 0, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 0, 7, 7, 0], [7, 7, 0, 0, 7, 0, 0, 0, 0, 7, 7, 7, 7, 0, 7, 0, 0, 0, 7, 0], [0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7, 0, 7, 7, 0, 7], [7, 0, 0, 0, 0, 7, 7, 7, 7, 0, 0, 7, 7, 0, 0, 0, 7, 0, 7, 0], [7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0]]\nExample input-output arrays:\n[[5, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 5, 0, 0, 5, 0, 0, 0, 5], [0, 0, 0, 5, 5, 5, 0, 5, 5, 0, 0, 5, 5, 5, 0, 5, 5, 5, 5, 5], [5, 5, 0, 0, 0, 0, 5, 0, 0, 5, 5, 0, 5, 5, 5, 0, 0, 5, 5, 0], [5, 5, 5, 0, 5, 5, 5, 5, 5, 5, 5, 5, 0, 5, 0, 0, 0, 0, 5, 5], [0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 5, 0, 5, 0, 5, 5, 5, 0, 5, 0], [5, 5, 0, 5, 0, 0, 5, 0, 5, 5, 5, 0, 0, 5, 5, 5, 0, 5, 5, 5], [5, 0, 0, 0, 0, 5, 5, 5, 5, 0, 5, 5, 0, 5, 0, 5, 0, 5, 0, 0], [5, 5, 5, 0, 5, 5, 5, 0, 0, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0, 5], [0, 5, 0, 0, 0, 5, 5, 0, 0, 5, 5, 0, 5, 5, 5, 5, 5, 0, 0, 0], [5, 5, 5, 5, 0, 5, 5, 5, 0, 5, 5, 5, 0, 0, 0, 0, 5, 0, 0, 5], [0, 5, 0, 0, 5, 0, 0, 0, 0, 5, 5, 0, 5, 5, 5, 0, 5, 0, 0, 0], [5, 0, 0, 5, 0, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 5, 5, 5, 5, 5], [5, 0, 5, 5, 0, 0, 0, 0, 0, 5, 0, 5, 5, 0, 5, 5, 5, 5, 0, 0], [0, 5, 0, 5, 0, 0, 0, 5, 5, 5, 5, 5, 0, 5, 0, 0, 5, 5, 5, 5], [5, 0, 5, 5, 0, 5, 0, 0, 0, 5, 0, 5, 5, 5, 0, 5, 0, 5, 0, 5], [0, 5, 5, 5, 0, 5, 5, 0, 5, 0, 5, 5, 0, 0, 0, 5, 0, 5, 0, 0], [5, 0, 5, 5, 0, 0, 5, 0, 5, 0, 0, 0, 5, 5, 0, 5, 5, 5, 5, 0], [5, 5, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 0, 5], [5, 5, 0, 0, 0, 0, 5, 5, 0, 0, 5, 5, 5, 0, 0, 0, 5, 5, 5, 5], [5, 0, 0, 0, 0, 5, 5, 5, 5, 0, 0, 5, 5, 5, 5, 5, 5, 0, 5, 5], [6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 6, 0, 6, 0, 0, 0, 0, 0, 6, 0], [0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 6, 0, 0, 0, 6, 6, 6, 6, 6, 0], [6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 6, 0, 6, 6, 6, 6, 0, 6, 0, 6], [0, 0, 0, 0, 0, 6, 0, 6, 0, 6, 6, 0, 6, 0, 0, 6, 6, 0, 0, 0], [0, 6, 6, 0, 6, 0, 6, 0, 6, 0, 6, 6, 6, 0, 0, 0, 6, 6, 6, 0], [6, 6, 6, 6, 0, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 0, 6, 6, 0, 6], [0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0], [0, 6, 6, 0, 0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 6, 0, 0, 6, 0, 6], [6, 6, 6, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 6, 6, 6, 6, 0, 0, 6], [6, 0, 6, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0, 0, 6, 6, 0], [6, 6, 6, 0, 6, 0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 6], [6, 6, 0, 6, 0, 6, 0, 6, 6, 0, 6, 0, 0, 0, 0, 6, 6, 6, 0, 6], [6, 6, 6, 6, 6, 6, 0, 0, 0, 6, 0, 0, 6, 0, 6, 6, 0, 0, 0, 0], [6, 6, 6, 6, 0, 6, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 0], [6, 6, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6], [0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 6, 6, 6, 6, 0, 6, 6], [0, 6, 0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 0, 6, 6, 6, 6], [6, 6, 6, 6, 6, 0, 6, 0, 0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 6, 6], [6, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 6, 0, 0, 6, 0, 6], [6, 6, 0, 6, 6, 0, 0, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0]] -> [[7, 7, 7, 7, 0, 0, 0, 0, 7, 0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 7], [0, 0, 0, 0, 7, 7, 0, 0, 7, 0, 7, 7, 7, 7, 7, 0, 7, 0, 7, 7], [7, 7, 7, 7, 7, 0, 7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 0, 7, 7], [7, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7], [0, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0], [7, 0, 7, 0, 0, 0, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7, 0], [7, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 0, 7, 0], [7, 0, 7, 0, 7, 7, 7, 7, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 0], [7, 0, 7, 0, 7, 7, 7, 7, 0, 0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 7], [7, 7, 7, 7, 0, 7, 7, 7, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 7, 7], [7, 0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 7], [7, 7, 0, 0, 0, 7, 7, 7, 7, 0, 7, 7, 0, 7, 0, 0, 7, 0, 7, 0], [7, 7, 7, 0, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7, 7, 0, 0], [7, 0, 7, 0, 0, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 7, 7], [7, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7, 0], [0, 0, 7, 7, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 7, 0, 7, 7, 7, 7], [7, 7, 7, 7, 0, 0, 7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 7, 0, 7, 7], [7, 0, 7, 0, 7, 0, 7, 0, 0, 7, 7, 0, 0, 7, 7, 7, 7, 7, 7, 0], [7, 0, 7, 7, 0, 0, 7, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0], [7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7]]\nExample input-output arrays:\n[[0, 0, 5, 0, 0, 5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 0, 0, 0, 0, 5], [0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0], [5, 0, 0, 5, 0, 5, 0, 5, 0, 0, 5, 0, 0, 5, 5, 0, 0, 5, 0, 0], [5, 0, 0, 0, 5, 0, 5, 5, 5, 5, 0, 5, 5, 0, 0, 5, 5, 0, 0, 0], [0, 0, 5, 0, 0, 5, 5, 0, 0, 5, 5, 0, 0, 0, 5, 0, 5, 0, 0, 5], [5, 5, 0, 5, 5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 5, 5, 5, 5, 0, 5], [5, 0, 5, 0, 5, 5, 5, 0, 0, 5, 0, 5, 0, 5, 5, 0, 5, 5, 5, 5], [5, 0, 0, 5, 0, 5, 5, 5, 0, 0, 5, 0, 5, 5, 0, 5, 5, 0, 0, 5], [0, 0, 5, 0, 5, 5, 0, 5, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 0], [0, 5, 5, 0, 0, 5, 0, 0, 5, 0, 5, 0, 0, 0, 5, 0, 0, 5, 0, 5], [0, 0, 0, 0, 5, 5, 0, 0, 5, 0, 5, 5, 5, 5, 0, 5, 0, 5, 5, 5], [5, 5, 5, 0, 5, 5, 0, 0, 5, 5, 5, 0, 0, 5, 0, 5, 0, 0, 0, 0], [5, 0, 0, 0, 5, 5, 5, 5, 0, 0, 0, 5, 0, 0, 0, 5, 5, 5, 0, 0], [0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 0, 0, 0, 0, 0, 5, 5, 0, 5, 0], [5, 5, 0, 5, 5, 0, 5, 0, 0, 5, 0, 5, 5, 0, 0, 5, 5, 0, 0, 5], [5, 0, 5, 0, 5, 5, 0, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 0, 0, 5], [5, 5, 5, 5, 0, 5, 0, 5, 5, 5, 0, 5, 5, 0, 0, 0, 5, 5, 0, 5], [0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 5, 5, 0], [0, 5, 0, 5, 0, 0, 0, 5, 5, 0, 0, 0, 0, 5, 0, 0, 5, 0, 0, 5], [0, 5, 5, 5, 5, 5, 0, 0, 5, 5, 5, 0, 5, 5, 5, 0, 5, 5, 5, 0], [6, 0, 0, 6, 6, 0, 0, 0, 6, 6, 6, 6, 0, 0, 6, 0, 6, 0, 6, 0], [6, 6, 6, 0, 0, 6, 0, 6, 0, 6, 0, 6, 6, 0, 6, 6, 6, 6, 0, 0], [0, 6, 0, 6, 0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 6, 6, 0, 6, 0, 0], [0, 6, 6, 0, 6, 0, 0, 6, 6, 0, 6, 6, 0, 6, 0, 0, 6, 0, 0, 6], [6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6, 6, 6, 0, 0], [6, 6, 0, 0, 6, 6, 6, 6, 0, 6, 0, 0, 0, 0, 0, 6, 6, 0, 0, 6], [0, 0, 0, 6, 6, 0, 6, 0, 0, 6, 0, 6, 6, 0, 6, 0, 6, 6, 0, 6], [6, 6, 0, 6, 6, 6, 6, 6, 0, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6], [0, 0, 6, 6, 6, 0, 0, 6, 6, 0, 0, 6, 6, 0, 6, 6, 6, 0, 6, 0], [6, 0, 6, 0, 0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 6, 0, 0, 0, 6, 0], [6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 6, 6, 0, 6, 0, 6], [0, 0, 0, 0, 6, 6, 6, 0, 6, 0, 0, 0, 6, 0, 0, 0, 0, 0, 6, 6], [6, 0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 0, 6], [0, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 6], [6, 0, 6, 0, 6, 6, 0, 6, 0, 0, 6, 0, 6, 6, 6, 6, 0, 6, 0, 0], [0, 0, 0, 6, 6, 0, 0, 6, 0, 6, 6, 6, 0, 0, 6, 0, 6, 0, 0, 0], [0, 0, 6, 6, 6, 0, 0, 6, 0, 6, 0, 6, 0, 0, 6, 6, 0, 6, 0, 0], [6, 6, 6, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0], [0, 6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 6, 0, 0, 6], [0, 0, 6, 0, 6, 0, 0, 0, 0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 0, 0]] -> [[7, 0, 7, 7, 7, 7, 0, 7, 7, 0, 7, 0, 0, 7, 7, 0, 7, 0, 7, 7], [7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 0, 7, 0, 7, 7, 0, 0], [7, 7, 0, 0, 0, 7, 0, 7, 7, 0, 7, 0, 7, 0, 7, 7, 0, 0, 0, 0], [7, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 0, 7, 7, 0, 0, 7], [7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7], [7, 0, 0, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 0, 0], [7, 0, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0, 7, 7, 7, 0, 7, 0, 7, 0], [7, 7, 0, 0, 7, 0, 7, 0, 0, 0, 7, 7, 7, 0, 7, 0, 7, 7, 7, 0], [0, 0, 7, 7, 7, 7, 0, 0, 7, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0], [7, 7, 7, 0, 0, 7, 7, 7, 7, 0, 7, 7, 7, 0, 7, 0, 0, 7, 7, 7], [7, 0, 0, 0, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 0, 0, 0, 7, 0], [7, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 0, 7, 0, 0, 7, 7], [7, 0, 0, 7, 7, 7, 7, 7, 7, 7, 0, 0, 0, 7, 7, 7, 7, 0, 0, 7], [0, 7, 0, 7, 7, 0, 7, 7, 7, 7, 0, 0, 0, 0, 7, 7, 7, 0, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 7, 0, 7], [7, 0, 7, 7, 7, 7, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 7, 0, 0, 7], [7, 7, 7, 0, 7, 7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 7], [7, 7, 7, 0, 7, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7, 7, 0, 7, 0], [0, 0, 0, 7, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0], [0, 7, 7, 7, 7, 7, 0, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing the causal function for some elements.\n[[5, 5, 0, 5, 5, 0, 5, 0, 0, 0, 0, 0, 5, 0, 5, 5, 5, 5, 5, 0], [5, 5, 0, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0, 5, 5, 5, 5], [0, 5, 5, 0, 5, 0, 5, 0, 5, 5, 0, 5, 5, 0, 0, 5, 5, 0, 5, 5], [0, 5, 5, 5, 0, 5, 0, 0, 0, 0, 5, 0, 0, 5, 5, 0, 0, 5, 5, 5], [5, 5, 0, 5, 5, 0, 0, 5, 5, 0, 0, 5, 5, 5, 0, 5, 0, 5, 5, 0], [0, 0, 5, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 5, 0, 0, 0, 0, 5, 0], [0, 5, 0, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 0, 0, 5, 0, 0, 0, 0], [0, 5, 5, 0, 5, 0, 0, 0, 5, 5, 0, 5, 0, 0, 5, 0, 0, 5, 5, 0], [5, 5, 0, 5, 0, 0, 5, 0, 5, 5, 5, 5, 0, 0, 0, 5, 0, 0, 0, 5], [5, 0, 0, 5, 5, 0, 5, 5, 0, 5, 0, 5, 5, 5, 0, 5, 5, 0, 5, 0], [5, 5, 5, 5, 0, 0, 5, 5, 0, 5, 0, 0, 0, 0, 5, 0, 5, 0, 0, 0], [0, 0, 0, 5, 0, 0, 5, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 5, 5, 5], [0, 5, 5, 5, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 0, 0, 0, 5, 5], [5, 5, 5, 5, 0, 0, 0, 5, 0, 0, 5, 5, 5, 5, 5, 0, 0, 5, 0, 5], [0, 0, 5, 0, 0, 5, 0, 5, 5, 0, 5, 0, 0, 5, 5, 0, 0, 5, 5, 0], [0, 5, 0, 5, 0, 0, 5, 0, 5, 5, 5, 0, 0, 5, 0, 5, 0, 5, 5, 0], [0, 0, 0, 0, 5, 0, 5, 0, 0, 0, 5, 0, 0, 5, 5, 5, 0, 0, 5, 0], [5, 5, 5, 5, 5, 0, 5, 5, 5, 5, 0, 5, 5, 5, 5, 5, 0, 0, 0, 5], [5, 0, 5, 0, 5, 5, 5, 0, 0, 5, 5, 5, 5, 0, 5, 5, 0, 5, 5, 0], [5, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0, 5], [0, 0, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 0, 0, 6, 0], [6, 6, 6, 6, 6, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 0, 6, 6, 0, 6], [6, 6, 0, 6, 0, 0, 6, 6, 6, 6, 0, 6, 0, 0, 6, 6, 0, 0, 0, 0], [6, 6, 6, 0, 6, 6, 6, 6, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6], [6, 0, 6, 0, 6, 6, 0, 6, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6], [6, 6, 6, 0, 6, 0, 6, 0, 6, 6, 0, 0, 0, 6, 0, 0, 6, 0, 0, 0], [6, 0, 6, 0, 6, 6, 0, 6, 6, 0, 0, 0, 6, 6, 0, 6, 6, 0, 6, 0], [6, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 6, 0, 0, 0, 6, 0, 0, 0, 6], [6, 6, 0, 6, 0, 0, 6, 0, 0, 0, 6, 6, 0, 0, 0, 6, 0, 6, 6, 6], [6, 6, 6, 6, 6, 0, 6, 6, 0, 0, 0, 0, 6, 0, 0, 6, 6, 0, 6, 0], [0, 6, 0, 0, 0, 6, 6, 0, 0, 0, 6, 6, 6, 0, 0, 6, 6, 0, 0, 0], [6, 0, 6, 0, 0, 0, 6, 0, 0, 6, 6, 6, 6, 0, 0, 0, 6, 0, 0, 0], [6, 0, 0, 6, 6, 0, 6, 0, 6, 0, 6, 6, 6, 0, 6, 0, 0, 6, 6, 6], [6, 6, 6, 6, 0, 6, 6, 0, 0, 6, 0, 0, 6, 6, 0, 0, 6, 6, 0, 6], [6, 0, 0, 6, 0, 0, 0, 0, 6, 6, 0, 0, 0, 6, 6, 6, 6, 6, 6, 0], [0, 6, 0, 6, 0, 0, 6, 6, 6, 6, 0, 6, 6, 0, 6, 6, 0, 0, 6, 0], [0, 0, 6, 6, 6, 6, 6, 0, 6, 0, 6, 0, 0, 0, 6, 6, 0, 0, 0, 0], [6, 0, 6, 0, 6, 0, 0, 6, 0, 0, 6, 6, 6, 0, 0, 6, 0, 6, 0, 0], [6, 0, 6, 6, 6, 0, 0, 0, 6, 6, 0, 6, 0, 0, 0, 6, 0, 6, 6, 0], [0, 6, 0, 6, 0, 0, 6, 6, 6, 0, 6, 0, 6, 0, 0, 0, 6, 0, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
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+                    ]
+                }
+            },
+            "Replicate 1": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[5, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 5, 0, 0, 5, 0, 0, 0, 5], [0, 0, 0, 5, 5, 5, 0, 5, 5, 0, 0, 5, 5, 5, 0, 5, 5, 5, 5, 5], [5, 5, 0, 0, 0, 0, 5, 0, 0, 5, 5, 0, 5, 5, 5, 0, 0, 5, 5, 0], [5, 5, 5, 0, 5, 5, 5, 5, 5, 5, 5, 5, 0, 5, 0, 0, 0, 0, 5, 5], [0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 5, 0, 5, 0, 5, 5, 5, 0, 5, 0], [5, 5, 0, 5, 0, 0, 5, 0, 5, 5, 5, 0, 0, 5, 5, 5, 0, 5, 5, 5], [5, 0, 0, 0, 0, 5, 5, 5, 5, 0, 5, 5, 0, 5, 0, 5, 0, 5, 0, 0], [5, 5, 5, 0, 5, 5, 5, 0, 0, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0, 5], [0, 5, 0, 0, 0, 5, 5, 0, 0, 5, 5, 0, 5, 5, 5, 5, 5, 0, 0, 0], [5, 5, 5, 5, 0, 5, 5, 5, 0, 5, 5, 5, 0, 0, 0, 0, 5, 0, 0, 5], [0, 5, 0, 0, 5, 0, 0, 0, 0, 5, 5, 0, 5, 5, 5, 0, 5, 0, 0, 0], [5, 0, 0, 5, 0, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 5, 5, 5, 5, 5], [5, 0, 5, 5, 0, 0, 0, 0, 0, 5, 0, 5, 5, 0, 5, 5, 5, 5, 0, 0], [0, 5, 0, 5, 0, 0, 0, 5, 5, 5, 5, 5, 0, 5, 0, 0, 5, 5, 5, 5], [5, 0, 5, 5, 0, 5, 0, 0, 0, 5, 0, 5, 5, 5, 0, 5, 0, 5, 0, 5], [0, 5, 5, 5, 0, 5, 5, 0, 5, 0, 5, 5, 0, 0, 0, 5, 0, 5, 0, 0], [5, 0, 5, 5, 0, 0, 5, 0, 5, 0, 0, 0, 5, 5, 0, 5, 5, 5, 5, 0], [5, 5, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 0, 5], [5, 5, 0, 0, 0, 0, 5, 5, 0, 0, 5, 5, 5, 0, 0, 0, 5, 5, 5, 5], [5, 0, 0, 0, 0, 5, 5, 5, 5, 0, 0, 5, 5, 5, 5, 5, 5, 0, 5, 5], [6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 6, 0, 6, 0, 0, 0, 0, 0, 6, 0], [0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 6, 0, 0, 0, 6, 6, 6, 6, 6, 0], [6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 6, 0, 6, 6, 6, 6, 0, 6, 0, 6], [0, 0, 0, 0, 0, 6, 0, 6, 0, 6, 6, 0, 6, 0, 0, 6, 6, 0, 0, 0], [0, 6, 6, 0, 6, 0, 6, 0, 6, 0, 6, 6, 6, 0, 0, 0, 6, 6, 6, 0], [6, 6, 6, 6, 0, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 0, 6, 6, 0, 6], [0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0], [0, 6, 6, 0, 0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 6, 0, 0, 6, 0, 6], [6, 6, 6, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 6, 6, 6, 6, 0, 0, 6], [6, 0, 6, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0, 0, 6, 6, 0], [6, 6, 6, 0, 6, 0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 6], [6, 6, 0, 6, 0, 6, 0, 6, 6, 0, 6, 0, 0, 0, 0, 6, 6, 6, 0, 6], [6, 6, 6, 6, 6, 6, 0, 0, 0, 6, 0, 0, 6, 0, 6, 6, 0, 0, 0, 0], [6, 6, 6, 6, 0, 6, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 0], [6, 6, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6], [0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 6, 6, 6, 6, 0, 6, 6], [0, 6, 0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 0, 6, 6, 6, 6], [6, 6, 6, 6, 6, 0, 6, 0, 0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 6, 6], [6, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 6, 0, 0, 6, 0, 6], [6, 6, 0, 6, 6, 0, 0, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0]] -> [[7, 7, 7, 7, 0, 0, 0, 0, 7, 0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 7], [0, 0, 0, 0, 7, 7, 0, 0, 7, 0, 7, 7, 7, 7, 7, 0, 7, 0, 7, 7], [7, 7, 7, 7, 7, 0, 7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 0, 7, 7], [7, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7], [0, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0], [7, 0, 7, 0, 0, 0, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7, 0], [7, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 0, 7, 0], [7, 0, 7, 0, 7, 7, 7, 7, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 0], [7, 0, 7, 0, 7, 7, 7, 7, 0, 0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 7], [7, 7, 7, 7, 0, 7, 7, 7, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 7, 7], [7, 0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 7], [7, 7, 0, 0, 0, 7, 7, 7, 7, 0, 7, 7, 0, 7, 0, 0, 7, 0, 7, 0], [7, 7, 7, 0, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7, 7, 0, 0], [7, 0, 7, 0, 0, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 7, 7], [7, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7, 0], [0, 0, 7, 7, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 7, 0, 7, 7, 7, 7], [7, 7, 7, 7, 0, 0, 7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 7, 0, 7, 7], [7, 0, 7, 0, 7, 0, 7, 0, 0, 7, 7, 0, 0, 7, 7, 7, 7, 7, 7, 0], [7, 0, 7, 7, 0, 0, 7, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0], [7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7]]\nExample input-output arrays:\n[[5, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 5, 0, 0, 5, 0, 0, 0, 5], [0, 0, 0, 5, 5, 5, 0, 5, 5, 0, 0, 5, 5, 5, 0, 5, 5, 5, 5, 5], [5, 5, 0, 0, 0, 0, 5, 0, 0, 5, 5, 0, 5, 5, 5, 0, 0, 5, 5, 0], [5, 5, 5, 0, 5, 5, 5, 5, 5, 5, 5, 5, 0, 5, 0, 0, 0, 0, 5, 5], [0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 5, 0, 5, 0, 5, 5, 5, 0, 5, 0], [5, 5, 0, 5, 0, 0, 5, 0, 5, 5, 5, 0, 0, 5, 5, 5, 0, 5, 5, 5], [5, 0, 0, 0, 0, 5, 5, 5, 5, 0, 5, 5, 0, 5, 0, 5, 0, 5, 0, 0], [5, 5, 5, 0, 5, 5, 5, 0, 0, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0, 5], [0, 5, 0, 0, 0, 5, 5, 0, 0, 5, 5, 0, 5, 5, 5, 5, 5, 0, 0, 0], [5, 5, 5, 5, 0, 5, 5, 5, 0, 5, 5, 5, 0, 0, 0, 0, 5, 0, 0, 5], [0, 5, 0, 0, 5, 0, 0, 0, 0, 5, 5, 0, 5, 5, 5, 0, 5, 0, 0, 0], [5, 0, 0, 5, 0, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 5, 5, 5, 5, 5], [5, 0, 5, 5, 0, 0, 0, 0, 0, 5, 0, 5, 5, 0, 5, 5, 5, 5, 0, 0], [0, 5, 0, 5, 0, 0, 0, 5, 5, 5, 5, 5, 0, 5, 0, 0, 5, 5, 5, 5], [5, 0, 5, 5, 0, 5, 0, 0, 0, 5, 0, 5, 5, 5, 0, 5, 0, 5, 0, 5], [0, 5, 5, 5, 0, 5, 5, 0, 5, 0, 5, 5, 0, 0, 0, 5, 0, 5, 0, 0], [5, 0, 5, 5, 0, 0, 5, 0, 5, 0, 0, 0, 5, 5, 0, 5, 5, 5, 5, 0], [5, 5, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 0, 5], [5, 5, 0, 0, 0, 0, 5, 5, 0, 0, 5, 5, 5, 0, 0, 0, 5, 5, 5, 5], [5, 0, 0, 0, 0, 5, 5, 5, 5, 0, 0, 5, 5, 5, 5, 5, 5, 0, 5, 5], [6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 6, 0, 6, 0, 0, 0, 0, 0, 6, 0], [0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 6, 0, 0, 0, 6, 6, 6, 6, 6, 0], [6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 6, 0, 6, 6, 6, 6, 0, 6, 0, 6], [0, 0, 0, 0, 0, 6, 0, 6, 0, 6, 6, 0, 6, 0, 0, 6, 6, 0, 0, 0], [0, 6, 6, 0, 6, 0, 6, 0, 6, 0, 6, 6, 6, 0, 0, 0, 6, 6, 6, 0], [6, 6, 6, 6, 0, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 0, 6, 6, 0, 6], [0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0], [0, 6, 6, 0, 0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 6, 0, 0, 6, 0, 6], [6, 6, 6, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 6, 6, 6, 6, 0, 0, 6], [6, 0, 6, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0, 0, 6, 6, 0], [6, 6, 6, 0, 6, 0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 6], [6, 6, 0, 6, 0, 6, 0, 6, 6, 0, 6, 0, 0, 0, 0, 6, 6, 6, 0, 6], [6, 6, 6, 6, 6, 6, 0, 0, 0, 6, 0, 0, 6, 0, 6, 6, 0, 0, 0, 0], [6, 6, 6, 6, 0, 6, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 0], [6, 6, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6], [0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 6, 6, 6, 6, 0, 6, 6], [0, 6, 0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 0, 6, 6, 6, 6], [6, 6, 6, 6, 6, 0, 6, 0, 0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 6, 6], [6, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 6, 0, 0, 6, 0, 6], [6, 6, 0, 6, 6, 0, 0, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0]] -> [[7, 7, 7, 7, 0, 0, 0, 0, 7, 0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 7], [0, 0, 0, 0, 7, 7, 0, 0, 7, 0, 7, 7, 7, 7, 7, 0, 7, 0, 7, 7], [7, 7, 7, 7, 7, 0, 7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 0, 7, 7], [7, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7], [0, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0], [7, 0, 7, 0, 0, 0, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7, 0], [7, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 0, 7, 0], [7, 0, 7, 0, 7, 7, 7, 7, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 0], [7, 0, 7, 0, 7, 7, 7, 7, 0, 0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 7], [7, 7, 7, 7, 0, 7, 7, 7, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 7, 7], [7, 0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 7], [7, 7, 0, 0, 0, 7, 7, 7, 7, 0, 7, 7, 0, 7, 0, 0, 7, 0, 7, 0], [7, 7, 7, 0, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7, 7, 0, 0], [7, 0, 7, 0, 0, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 7, 7], [7, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7, 0], [0, 0, 7, 7, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 7, 0, 7, 7, 7, 7], [7, 7, 7, 7, 0, 0, 7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 7, 0, 7, 7], [7, 0, 7, 0, 7, 0, 7, 0, 0, 7, 7, 0, 0, 7, 7, 7, 7, 7, 7, 0], [7, 0, 7, 7, 0, 0, 7, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0], [7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7]]\nExample input-output arrays:\n[[0, 0, 5, 0, 0, 5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 0, 0, 0, 0, 5], [0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0], [5, 0, 0, 5, 0, 5, 0, 5, 0, 0, 5, 0, 0, 5, 5, 0, 0, 5, 0, 0], [5, 0, 0, 0, 5, 0, 5, 5, 5, 5, 0, 5, 5, 0, 0, 5, 5, 0, 0, 0], [0, 0, 5, 0, 0, 5, 5, 0, 0, 5, 5, 0, 0, 0, 5, 0, 5, 0, 0, 5], [5, 5, 0, 5, 5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 5, 5, 5, 5, 0, 5], [5, 0, 5, 0, 5, 5, 5, 0, 0, 5, 0, 5, 0, 5, 5, 0, 5, 5, 5, 5], [5, 0, 0, 5, 0, 5, 5, 5, 0, 0, 5, 0, 5, 5, 0, 5, 5, 0, 0, 5], [0, 0, 5, 0, 5, 5, 0, 5, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 0], [0, 5, 5, 0, 0, 5, 0, 0, 5, 0, 5, 0, 0, 0, 5, 0, 0, 5, 0, 5], [0, 0, 0, 0, 5, 5, 0, 0, 5, 0, 5, 5, 5, 5, 0, 5, 0, 5, 5, 5], [5, 5, 5, 0, 5, 5, 0, 0, 5, 5, 5, 0, 0, 5, 0, 5, 0, 0, 0, 0], [5, 0, 0, 0, 5, 5, 5, 5, 0, 0, 0, 5, 0, 0, 0, 5, 5, 5, 0, 0], [0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 0, 0, 0, 0, 0, 5, 5, 0, 5, 0], [5, 5, 0, 5, 5, 0, 5, 0, 0, 5, 0, 5, 5, 0, 0, 5, 5, 0, 0, 5], [5, 0, 5, 0, 5, 5, 0, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 0, 0, 5], [5, 5, 5, 5, 0, 5, 0, 5, 5, 5, 0, 5, 5, 0, 0, 0, 5, 5, 0, 5], [0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 5, 5, 0], [0, 5, 0, 5, 0, 0, 0, 5, 5, 0, 0, 0, 0, 5, 0, 0, 5, 0, 0, 5], [0, 5, 5, 5, 5, 5, 0, 0, 5, 5, 5, 0, 5, 5, 5, 0, 5, 5, 5, 0], [6, 0, 0, 6, 6, 0, 0, 0, 6, 6, 6, 6, 0, 0, 6, 0, 6, 0, 6, 0], [6, 6, 6, 0, 0, 6, 0, 6, 0, 6, 0, 6, 6, 0, 6, 6, 6, 6, 0, 0], [0, 6, 0, 6, 0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 6, 6, 0, 6, 0, 0], [0, 6, 6, 0, 6, 0, 0, 6, 6, 0, 6, 6, 0, 6, 0, 0, 6, 0, 0, 6], [6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6, 6, 6, 0, 0], [6, 6, 0, 0, 6, 6, 6, 6, 0, 6, 0, 0, 0, 0, 0, 6, 6, 0, 0, 6], [0, 0, 0, 6, 6, 0, 6, 0, 0, 6, 0, 6, 6, 0, 6, 0, 6, 6, 0, 6], [6, 6, 0, 6, 6, 6, 6, 6, 0, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6], [0, 0, 6, 6, 6, 0, 0, 6, 6, 0, 0, 6, 6, 0, 6, 6, 6, 0, 6, 0], [6, 0, 6, 0, 0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 6, 0, 0, 0, 6, 0], [6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 6, 6, 0, 6, 0, 6], [0, 0, 0, 0, 6, 6, 6, 0, 6, 0, 0, 0, 6, 0, 0, 0, 0, 0, 6, 6], [6, 0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 0, 6], [0, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 6], [6, 0, 6, 0, 6, 6, 0, 6, 0, 0, 6, 0, 6, 6, 6, 6, 0, 6, 0, 0], [0, 0, 0, 6, 6, 0, 0, 6, 0, 6, 6, 6, 0, 0, 6, 0, 6, 0, 0, 0], [0, 0, 6, 6, 6, 0, 0, 6, 0, 6, 0, 6, 0, 0, 6, 6, 0, 6, 0, 0], [6, 6, 6, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0], [0, 6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 6, 0, 0, 6], [0, 0, 6, 0, 6, 0, 0, 0, 0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 0, 0]] -> [[7, 0, 7, 7, 7, 7, 0, 7, 7, 0, 7, 0, 0, 7, 7, 0, 7, 0, 7, 7], [7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 0, 7, 0, 7, 7, 0, 0], [7, 7, 0, 0, 0, 7, 0, 7, 7, 0, 7, 0, 7, 0, 7, 7, 0, 0, 0, 0], [7, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 0, 7, 7, 0, 0, 7], [7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7], [7, 0, 0, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 0, 0], [7, 0, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0, 7, 7, 7, 0, 7, 0, 7, 0], [7, 7, 0, 0, 7, 0, 7, 0, 0, 0, 7, 7, 7, 0, 7, 0, 7, 7, 7, 0], [0, 0, 7, 7, 7, 7, 0, 0, 7, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0], [7, 7, 7, 0, 0, 7, 7, 7, 7, 0, 7, 7, 7, 0, 7, 0, 0, 7, 7, 7], [7, 0, 0, 0, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 0, 0, 0, 7, 0], [7, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 0, 7, 0, 0, 7, 7], [7, 0, 0, 7, 7, 7, 7, 7, 7, 7, 0, 0, 0, 7, 7, 7, 7, 0, 0, 7], [0, 7, 0, 7, 7, 0, 7, 7, 7, 7, 0, 0, 0, 0, 7, 7, 7, 0, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 7, 0, 7], [7, 0, 7, 7, 7, 7, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 7, 0, 0, 7], [7, 7, 7, 0, 7, 7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 7], [7, 7, 7, 0, 7, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7, 7, 0, 7, 0], [0, 0, 0, 7, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0], [0, 7, 7, 7, 7, 7, 0, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing the causal function for some elements.\n[[5, 5, 0, 5, 5, 0, 5, 0, 0, 0, 0, 0, 5, 0, 5, 5, 5, 5, 5, 0], [5, 5, 0, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0, 5, 5, 5, 5], [0, 5, 5, 0, 5, 0, 5, 0, 5, 5, 0, 5, 5, 0, 0, 5, 5, 0, 5, 5], [0, 5, 5, 5, 0, 5, 0, 0, 0, 0, 5, 0, 0, 5, 5, 0, 0, 5, 5, 5], [5, 5, 0, 5, 5, 0, 0, 5, 5, 0, 0, 5, 5, 5, 0, 5, 0, 5, 5, 0], [0, 0, 5, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 5, 0, 0, 0, 0, 5, 0], [0, 5, 0, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 0, 0, 5, 0, 0, 0, 0], [0, 5, 5, 0, 5, 0, 0, 0, 5, 5, 0, 5, 0, 0, 5, 0, 0, 5, 5, 0], [5, 5, 0, 5, 0, 0, 5, 0, 5, 5, 5, 5, 0, 0, 0, 5, 0, 0, 0, 5], [5, 0, 0, 5, 5, 0, 5, 5, 0, 5, 0, 5, 5, 5, 0, 5, 5, 0, 5, 0], [5, 5, 5, 5, 0, 0, 5, 5, 0, 5, 0, 0, 0, 0, 5, 0, 5, 0, 0, 0], [0, 0, 0, 5, 0, 0, 5, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 5, 5, 5], [0, 5, 5, 5, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 0, 0, 0, 5, 5], [5, 5, 5, 5, 0, 0, 0, 5, 0, 0, 5, 5, 5, 5, 5, 0, 0, 5, 0, 5], [0, 0, 5, 0, 0, 5, 0, 5, 5, 0, 5, 0, 0, 5, 5, 0, 0, 5, 5, 0], [0, 5, 0, 5, 0, 0, 5, 0, 5, 5, 5, 0, 0, 5, 0, 5, 0, 5, 5, 0], [0, 0, 0, 0, 5, 0, 5, 0, 0, 0, 5, 0, 0, 5, 5, 5, 0, 0, 5, 0], [5, 5, 5, 5, 5, 0, 5, 5, 5, 5, 0, 5, 5, 5, 5, 5, 0, 0, 0, 5], [5, 0, 5, 0, 5, 5, 5, 0, 0, 5, 5, 5, 5, 0, 5, 5, 0, 5, 5, 0], [5, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0, 5], [0, 0, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 0, 0, 6, 0], [6, 6, 6, 6, 6, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 0, 6, 6, 0, 6], [6, 6, 0, 6, 0, 0, 6, 6, 6, 6, 0, 6, 0, 0, 6, 6, 0, 0, 0, 0], [6, 6, 6, 0, 6, 6, 6, 6, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6], [6, 0, 6, 0, 6, 6, 0, 6, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6], [6, 6, 6, 0, 6, 0, 6, 0, 6, 6, 0, 0, 0, 6, 0, 0, 6, 0, 0, 0], [6, 0, 6, 0, 6, 6, 0, 6, 6, 0, 0, 0, 6, 6, 0, 6, 6, 0, 6, 0], [6, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 6, 0, 0, 0, 6, 0, 0, 0, 6], [6, 6, 0, 6, 0, 0, 6, 0, 0, 0, 6, 6, 0, 0, 0, 6, 0, 6, 6, 6], [6, 6, 6, 6, 6, 0, 6, 6, 0, 0, 0, 0, 6, 0, 0, 6, 6, 0, 6, 0], [0, 6, 0, 0, 0, 6, 6, 0, 0, 0, 6, 6, 6, 0, 0, 6, 6, 0, 0, 0], [6, 0, 6, 0, 0, 0, 6, 0, 0, 6, 6, 6, 6, 0, 0, 0, 6, 0, 0, 0], [6, 0, 0, 6, 6, 0, 6, 0, 6, 0, 6, 6, 6, 0, 6, 0, 0, 6, 6, 6], [6, 6, 6, 6, 0, 6, 6, 0, 0, 6, 0, 0, 6, 6, 0, 0, 6, 6, 0, 6], [6, 0, 0, 6, 0, 0, 0, 0, 6, 6, 0, 0, 0, 6, 6, 6, 6, 6, 6, 0], [0, 6, 0, 6, 0, 0, 6, 6, 6, 6, 0, 6, 6, 0, 6, 6, 0, 0, 6, 0], [0, 0, 6, 6, 6, 6, 6, 0, 6, 0, 6, 0, 0, 0, 6, 6, 0, 0, 0, 0], [6, 0, 6, 0, 6, 0, 0, 6, 0, 0, 6, 6, 6, 0, 0, 6, 0, 6, 0, 0], [6, 0, 6, 6, 6, 0, 0, 0, 6, 6, 0, 6, 0, 0, 0, 6, 0, 6, 6, 0], [0, 6, 0, 6, 0, 0, 6, 6, 6, 0, 6, 0, 6, 0, 0, 0, 6, 0, 0, 0]] -> ",
+                "test": {
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+                    "output": [
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+            },
+            "Replicate 2": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 5, 0, 5, 5, 5, 5, 0, 0, 0, 5, 0, 0, 5, 0, 0, 0, 0, 0], [5, 0, 5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 5, 0, 5, 5, 5, 5], [5, 0, 5, 5, 5, 0, 0, 0, 0, 0, 5, 0, 5, 5, 5, 0, 5, 5, 0, 0], [0, 5, 5, 0, 0, 5, 5, 5, 5, 0, 5, 0, 0, 0, 0, 0, 5, 5, 5, 0], [0, 0, 5, 0, 5, 0, 5, 0, 0, 5, 5, 0, 5, 0, 0, 0, 5, 5, 5, 5], [0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 5, 5, 5], [5, 0, 5, 5, 5, 0, 5, 5, 0, 0, 5, 0, 5, 5, 0, 5, 0, 5, 5, 0], [0, 5, 5, 5, 0, 5, 5, 0, 0, 5, 0, 5, 0, 5, 5, 5, 5, 0, 0, 0], [5, 5, 0, 5, 0, 5, 0, 5, 0, 5, 5, 5, 5, 0, 0, 5, 0, 5, 5, 0], [0, 0, 0, 5, 5, 5, 5, 5, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 5, 0], [0, 0, 5, 5, 0, 5, 5, 5, 5, 0, 0, 5, 5, 5, 0, 5, 5, 0, 0, 5], [5, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 5, 0, 0, 5, 0, 0, 5, 5, 5], [5, 0, 0, 0, 0, 0, 5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 5, 5, 5, 5], [5, 5, 0, 5, 5, 5, 5, 0, 0, 5, 0, 5, 5, 5, 5, 5, 0, 5, 5, 0], [5, 0, 0, 0, 0, 5, 5, 0, 0, 5, 0, 5, 5, 5, 0, 5, 0, 0, 5, 0], [5, 0, 0, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 5, 0, 0], [5, 5, 0, 0, 5, 5, 5, 5, 0, 0, 5, 5, 5, 0, 5, 5, 0, 5, 5, 5], [0, 5, 5, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 5, 0, 5, 0, 0], [0, 0, 5, 5, 5, 5, 5, 5, 0, 5, 5, 0, 0, 0, 5, 5, 5, 5, 0, 0], [0, 5, 5, 0, 5, 0, 5, 0, 5, 0, 0, 5, 5, 0, 5, 5, 5, 0, 5, 5], [0, 6, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 6, 0, 0, 0, 6], [6, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 6, 0, 6, 6, 6, 0, 0, 0, 6], [6, 0, 6, 6, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 0, 6, 0, 0], [0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 0], [6, 0, 6, 0, 6, 0, 6, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 6, 0, 0], [6, 0, 6, 6, 6, 0, 6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 6, 0, 6, 0], [6, 0, 0, 0, 0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 0, 6, 6, 0], [6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 6, 6, 6, 0, 0, 6, 6], [6, 6, 6, 0, 0, 6, 6, 0, 0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6], [6, 6, 0, 6, 6, 0, 6, 0, 0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 6, 6], [0, 6, 6, 0, 0, 0, 0, 6, 0, 6, 0, 6, 0, 0, 6, 6, 6, 6, 0, 0], [6, 0, 6, 0, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 0, 0, 6, 0, 6, 0], [6, 6, 0, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 6], [6, 0, 6, 0, 0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 6], [0, 6, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0], [6, 0, 0, 6, 6, 6, 0, 0, 6, 0, 0, 6, 6, 6, 0, 0, 0, 6, 0, 0], [0, 6, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0, 0, 0, 6, 0, 6, 6, 6, 0], [6, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0], [6, 6, 6, 6, 6, 0, 6, 6, 0, 0, 6, 6, 0, 0, 0, 6, 0, 0, 6, 0], [6, 6, 0, 6, 6, 6, 6, 0, 6, 6, 0, 6, 0, 0, 6, 0, 0, 6, 0, 6]] -> [[0, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 0, 0, 7], [7, 0, 7, 0, 0, 7, 7, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0], [7, 0, 7, 0, 7, 7, 0, 7, 0, 7, 7, 0, 7, 0, 7, 7, 7, 0, 0, 0], [0, 7, 7, 0, 0, 0, 7, 7, 7, 0, 7, 0, 0, 0, 7, 7, 7, 0, 7, 0], [7, 0, 7, 0, 7, 0, 7, 0, 0, 7, 7, 7, 7, 0, 0, 0, 7, 0, 7, 7], [7, 7, 7, 7, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7, 7, 7, 7, 7, 7, 7], [7, 0, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7, 0, 0, 0, 7, 0], [7, 0, 7, 7, 0, 7, 7, 0, 7, 0, 0, 7, 0, 0, 7, 0, 7, 0, 7, 7], [7, 0, 7, 7, 0, 0, 7, 7, 0, 0, 7, 0, 7, 7, 0, 0, 0, 0, 7, 7], [7, 7, 0, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 7, 0, 7, 7, 0, 7, 7], [0, 7, 7, 7, 0, 7, 7, 0, 7, 7, 0, 0, 7, 7, 7, 0, 7, 7, 0, 7], [7, 7, 7, 0, 0, 0, 7, 0, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7], [7, 7, 0, 0, 0, 7, 7, 0, 7, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0], [7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 7, 7, 7, 7, 7, 0, 7, 7], [7, 7, 0, 7, 0, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 7, 0], [7, 0, 0, 0, 7, 0, 7, 0, 7, 0, 0, 7, 7, 7, 7, 7, 7, 0, 0, 0], [7, 0, 0, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 0, 7, 7], [7, 7, 7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 7, 7, 0, 7, 7, 0, 0, 0], [7, 7, 7, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 0, 7, 0, 7, 7, 7, 0], [7, 0, 7, 7, 7, 7, 7, 0, 7, 7, 0, 0, 7, 0, 7, 7, 7, 7, 7, 0]]\nExample input-output arrays:\n[[5, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 5, 0, 0, 5, 0, 0, 0, 5], [0, 0, 0, 5, 5, 5, 0, 5, 5, 0, 0, 5, 5, 5, 0, 5, 5, 5, 5, 5], [5, 5, 0, 0, 0, 0, 5, 0, 0, 5, 5, 0, 5, 5, 5, 0, 0, 5, 5, 0], [5, 5, 5, 0, 5, 5, 5, 5, 5, 5, 5, 5, 0, 5, 0, 0, 0, 0, 5, 5], [0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 5, 0, 5, 0, 5, 5, 5, 0, 5, 0], [5, 5, 0, 5, 0, 0, 5, 0, 5, 5, 5, 0, 0, 5, 5, 5, 0, 5, 5, 5], [5, 0, 0, 0, 0, 5, 5, 5, 5, 0, 5, 5, 0, 5, 0, 5, 0, 5, 0, 0], [5, 5, 5, 0, 5, 5, 5, 0, 0, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0, 5], [0, 5, 0, 0, 0, 5, 5, 0, 0, 5, 5, 0, 5, 5, 5, 5, 5, 0, 0, 0], [5, 5, 5, 5, 0, 5, 5, 5, 0, 5, 5, 5, 0, 0, 0, 0, 5, 0, 0, 5], [0, 5, 0, 0, 5, 0, 0, 0, 0, 5, 5, 0, 5, 5, 5, 0, 5, 0, 0, 0], [5, 0, 0, 5, 0, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 5, 5, 5, 5, 5], [5, 0, 5, 5, 0, 0, 0, 0, 0, 5, 0, 5, 5, 0, 5, 5, 5, 5, 0, 0], [0, 5, 0, 5, 0, 0, 0, 5, 5, 5, 5, 5, 0, 5, 0, 0, 5, 5, 5, 5], [5, 0, 5, 5, 0, 5, 0, 0, 0, 5, 0, 5, 5, 5, 0, 5, 0, 5, 0, 5], [0, 5, 5, 5, 0, 5, 5, 0, 5, 0, 5, 5, 0, 0, 0, 5, 0, 5, 0, 0], [5, 0, 5, 5, 0, 0, 5, 0, 5, 0, 0, 0, 5, 5, 0, 5, 5, 5, 5, 0], [5, 5, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 0, 5], [5, 5, 0, 0, 0, 0, 5, 5, 0, 0, 5, 5, 5, 0, 0, 0, 5, 5, 5, 5], [5, 0, 0, 0, 0, 5, 5, 5, 5, 0, 0, 5, 5, 5, 5, 5, 5, 0, 5, 5], [6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 6, 0, 6, 0, 0, 0, 0, 0, 6, 0], [0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 6, 0, 0, 0, 6, 6, 6, 6, 6, 0], [6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 6, 0, 6, 6, 6, 6, 0, 6, 0, 6], [0, 0, 0, 0, 0, 6, 0, 6, 0, 6, 6, 0, 6, 0, 0, 6, 6, 0, 0, 0], [0, 6, 6, 0, 6, 0, 6, 0, 6, 0, 6, 6, 6, 0, 0, 0, 6, 6, 6, 0], [6, 6, 6, 6, 0, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 0, 6, 6, 0, 6], [0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0], [0, 6, 6, 0, 0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 6, 0, 0, 6, 0, 6], [6, 6, 6, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 6, 6, 6, 6, 0, 0, 6], [6, 0, 6, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0, 0, 6, 6, 0], [6, 6, 6, 0, 6, 0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 6], [6, 6, 0, 6, 0, 6, 0, 6, 6, 0, 6, 0, 0, 0, 0, 6, 6, 6, 0, 6], [6, 6, 6, 6, 6, 6, 0, 0, 0, 6, 0, 0, 6, 0, 6, 6, 0, 0, 0, 0], [6, 6, 6, 6, 0, 6, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 0], [6, 6, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6], [0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 6, 6, 6, 6, 0, 6, 6], [0, 6, 0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 0, 6, 6, 6, 6], [6, 6, 6, 6, 6, 0, 6, 0, 0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 6, 6], [6, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 6, 0, 0, 6, 0, 6], [6, 6, 0, 6, 6, 0, 0, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0]] -> [[7, 7, 7, 7, 0, 0, 0, 0, 7, 0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 7], [0, 0, 0, 0, 7, 7, 0, 0, 7, 0, 7, 7, 7, 7, 7, 0, 7, 0, 7, 7], [7, 7, 7, 7, 7, 0, 7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 0, 7, 7], [7, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7], [0, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0], [7, 0, 7, 0, 0, 0, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7, 0], [7, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 0, 7, 0], [7, 0, 7, 0, 7, 7, 7, 7, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 0], [7, 0, 7, 0, 7, 7, 7, 7, 0, 0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 7], [7, 7, 7, 7, 0, 7, 7, 7, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 7, 7], [7, 0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 7], [7, 7, 0, 0, 0, 7, 7, 7, 7, 0, 7, 7, 0, 7, 0, 0, 7, 0, 7, 0], [7, 7, 7, 0, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7, 7, 0, 0], [7, 0, 7, 0, 0, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 7, 7], [7, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7, 0], [0, 0, 7, 7, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 7, 0, 7, 7, 7, 7], [7, 7, 7, 7, 0, 0, 7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 7, 0, 7, 7], [7, 0, 7, 0, 7, 0, 7, 0, 0, 7, 7, 0, 0, 7, 7, 7, 7, 7, 7, 0], [7, 0, 7, 7, 0, 0, 7, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0], [7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7]]\nExample input-output arrays:\n[[0, 0, 5, 0, 0, 5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 0, 0, 0, 0, 5], [0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0], [5, 0, 0, 5, 0, 5, 0, 5, 0, 0, 5, 0, 0, 5, 5, 0, 0, 5, 0, 0], [5, 0, 0, 0, 5, 0, 5, 5, 5, 5, 0, 5, 5, 0, 0, 5, 5, 0, 0, 0], [0, 0, 5, 0, 0, 5, 5, 0, 0, 5, 5, 0, 0, 0, 5, 0, 5, 0, 0, 5], [5, 5, 0, 5, 5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 5, 5, 5, 5, 0, 5], [5, 0, 5, 0, 5, 5, 5, 0, 0, 5, 0, 5, 0, 5, 5, 0, 5, 5, 5, 5], [5, 0, 0, 5, 0, 5, 5, 5, 0, 0, 5, 0, 5, 5, 0, 5, 5, 0, 0, 5], [0, 0, 5, 0, 5, 5, 0, 5, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 0], [0, 5, 5, 0, 0, 5, 0, 0, 5, 0, 5, 0, 0, 0, 5, 0, 0, 5, 0, 5], [0, 0, 0, 0, 5, 5, 0, 0, 5, 0, 5, 5, 5, 5, 0, 5, 0, 5, 5, 5], [5, 5, 5, 0, 5, 5, 0, 0, 5, 5, 5, 0, 0, 5, 0, 5, 0, 0, 0, 0], [5, 0, 0, 0, 5, 5, 5, 5, 0, 0, 0, 5, 0, 0, 0, 5, 5, 5, 0, 0], [0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 0, 0, 0, 0, 0, 5, 5, 0, 5, 0], [5, 5, 0, 5, 5, 0, 5, 0, 0, 5, 0, 5, 5, 0, 0, 5, 5, 0, 0, 5], [5, 0, 5, 0, 5, 5, 0, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 0, 0, 5], [5, 5, 5, 5, 0, 5, 0, 5, 5, 5, 0, 5, 5, 0, 0, 0, 5, 5, 0, 5], [0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 5, 5, 0], [0, 5, 0, 5, 0, 0, 0, 5, 5, 0, 0, 0, 0, 5, 0, 0, 5, 0, 0, 5], [0, 5, 5, 5, 5, 5, 0, 0, 5, 5, 5, 0, 5, 5, 5, 0, 5, 5, 5, 0], [6, 0, 0, 6, 6, 0, 0, 0, 6, 6, 6, 6, 0, 0, 6, 0, 6, 0, 6, 0], [6, 6, 6, 0, 0, 6, 0, 6, 0, 6, 0, 6, 6, 0, 6, 6, 6, 6, 0, 0], [0, 6, 0, 6, 0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 6, 6, 0, 6, 0, 0], [0, 6, 6, 0, 6, 0, 0, 6, 6, 0, 6, 6, 0, 6, 0, 0, 6, 0, 0, 6], [6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6, 6, 6, 0, 0], [6, 6, 0, 0, 6, 6, 6, 6, 0, 6, 0, 0, 0, 0, 0, 6, 6, 0, 0, 6], [0, 0, 0, 6, 6, 0, 6, 0, 0, 6, 0, 6, 6, 0, 6, 0, 6, 6, 0, 6], [6, 6, 0, 6, 6, 6, 6, 6, 0, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6], [0, 0, 6, 6, 6, 0, 0, 6, 6, 0, 0, 6, 6, 0, 6, 6, 6, 0, 6, 0], [6, 0, 6, 0, 0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 6, 0, 0, 0, 6, 0], [6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 6, 6, 0, 6, 0, 6], [0, 0, 0, 0, 6, 6, 6, 0, 6, 0, 0, 0, 6, 0, 0, 0, 0, 0, 6, 6], [6, 0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 0, 6], [0, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 6], [6, 0, 6, 0, 6, 6, 0, 6, 0, 0, 6, 0, 6, 6, 6, 6, 0, 6, 0, 0], [0, 0, 0, 6, 6, 0, 0, 6, 0, 6, 6, 6, 0, 0, 6, 0, 6, 0, 0, 0], [0, 0, 6, 6, 6, 0, 0, 6, 0, 6, 0, 6, 0, 0, 6, 6, 0, 6, 0, 0], [6, 6, 6, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0], [0, 6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 6, 0, 0, 6], [0, 0, 6, 0, 6, 0, 0, 0, 0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 0, 0]] -> [[7, 0, 7, 7, 7, 7, 0, 7, 7, 0, 7, 0, 0, 7, 7, 0, 7, 0, 7, 7], [7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 0, 7, 0, 7, 7, 0, 0], [7, 7, 0, 0, 0, 7, 0, 7, 7, 0, 7, 0, 7, 0, 7, 7, 0, 0, 0, 0], [7, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 0, 7, 7, 0, 0, 7], [7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7], [7, 0, 0, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 0, 0], [7, 0, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0, 7, 7, 7, 0, 7, 0, 7, 0], [7, 7, 0, 0, 7, 0, 7, 0, 0, 0, 7, 7, 7, 0, 7, 0, 7, 7, 7, 0], [0, 0, 7, 7, 7, 7, 0, 0, 7, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0], [7, 7, 7, 0, 0, 7, 7, 7, 7, 0, 7, 7, 7, 0, 7, 0, 0, 7, 7, 7], [7, 0, 0, 0, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 0, 0, 0, 7, 0], [7, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 0, 7, 0, 0, 7, 7], [7, 0, 0, 7, 7, 7, 7, 7, 7, 7, 0, 0, 0, 7, 7, 7, 7, 0, 0, 7], [0, 7, 0, 7, 7, 0, 7, 7, 7, 7, 0, 0, 0, 0, 7, 7, 7, 0, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 7, 0, 7], [7, 0, 7, 7, 7, 7, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 7, 0, 0, 7], [7, 7, 7, 0, 7, 7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 7], [7, 7, 7, 0, 7, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7, 7, 0, 7, 0], [0, 0, 0, 7, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0], [0, 7, 7, 7, 7, 7, 0, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 5, 5, 5, 0, 5, 5, 5, 5, 0, 0, 0, 0, 0, 5, 0, 0, 5, 0], [5, 0, 0, 5, 0, 0, 5, 5, 5, 5, 0, 0, 0, 5, 0, 0, 5, 5, 0, 5], [5, 0, 0, 5, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 5, 5, 0, 5, 5, 0], [5, 0, 0, 0, 5, 5, 0, 5, 0, 0, 0, 5, 5, 5, 5, 5, 5, 0, 0, 5], [0, 5, 5, 5, 5, 0, 5, 0, 5, 5, 0, 0, 5, 5, 0, 5, 0, 0, 0, 5], [5, 0, 0, 5, 5, 0, 5, 5, 0, 0, 5, 5, 0, 0, 5, 5, 0, 5, 0, 0], [0, 5, 0, 5, 5, 5, 5, 5, 0, 0, 0, 5, 5, 5, 5, 0, 5, 5, 5, 0], [5, 5, 0, 5, 5, 5, 0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 0, 5, 5, 5], [0, 0, 5, 5, 0, 5, 0, 5, 5, 0, 5, 5, 5, 0, 0, 5, 5, 0, 5, 5], [5, 0, 0, 0, 0, 5, 0, 0, 5, 5, 5, 0, 5, 5, 5, 5, 0, 0, 5, 5], [0, 0, 5, 0, 5, 5, 0, 0, 0, 5, 5, 5, 5, 0, 5, 0, 0, 0, 0, 0], [5, 5, 5, 5, 5, 5, 0, 0, 5, 0, 5, 0, 5, 0, 5, 0, 0, 0, 0, 0], [5, 0, 0, 5, 0, 5, 0, 0, 5, 5, 0, 0, 0, 0, 5, 5, 0, 5, 5, 5], [0, 5, 0, 5, 0, 5, 0, 5, 0, 5, 0, 5, 0, 0, 5, 0, 5, 5, 5, 0], [0, 5, 0, 5, 5, 5, 0, 0, 5, 0, 0, 0, 5, 5, 0, 5, 0, 0, 5, 0], [5, 5, 5, 5, 5, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 5], [5, 5, 0, 0, 0, 0, 5, 0, 5, 5, 5, 5, 5, 0, 0, 0, 5, 5, 0, 5], [0, 0, 5, 5, 5, 5, 0, 5, 5, 0, 0, 5, 5, 5, 5, 0, 5, 5, 0, 5], [5, 0, 0, 0, 5, 5, 5, 5, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 5, 0], [0, 5, 0, 5, 0, 0, 5, 0, 0, 0, 0, 5, 0, 5, 0, 5, 5, 0, 5, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
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+                        [
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+                        [
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+                    ]
+                }
+            },
+            "Replicate 3": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 5, 0, 5, 5, 5, 5, 0, 0, 0, 5, 0, 0, 5, 0, 0, 0, 0, 0], [5, 0, 5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 5, 0, 5, 5, 5, 5], [5, 0, 5, 5, 5, 0, 0, 0, 0, 0, 5, 0, 5, 5, 5, 0, 5, 5, 0, 0], [0, 5, 5, 0, 0, 5, 5, 5, 5, 0, 5, 0, 0, 0, 0, 0, 5, 5, 5, 0], [0, 0, 5, 0, 5, 0, 5, 0, 0, 5, 5, 0, 5, 0, 0, 0, 5, 5, 5, 5], [0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 5, 5, 5], [5, 0, 5, 5, 5, 0, 5, 5, 0, 0, 5, 0, 5, 5, 0, 5, 0, 5, 5, 0], [0, 5, 5, 5, 0, 5, 5, 0, 0, 5, 0, 5, 0, 5, 5, 5, 5, 0, 0, 0], [5, 5, 0, 5, 0, 5, 0, 5, 0, 5, 5, 5, 5, 0, 0, 5, 0, 5, 5, 0], [0, 0, 0, 5, 5, 5, 5, 5, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 5, 0], [0, 0, 5, 5, 0, 5, 5, 5, 5, 0, 0, 5, 5, 5, 0, 5, 5, 0, 0, 5], [5, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 5, 0, 0, 5, 0, 0, 5, 5, 5], [5, 0, 0, 0, 0, 0, 5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 5, 5, 5, 5], [5, 5, 0, 5, 5, 5, 5, 0, 0, 5, 0, 5, 5, 5, 5, 5, 0, 5, 5, 0], [5, 0, 0, 0, 0, 5, 5, 0, 0, 5, 0, 5, 5, 5, 0, 5, 0, 0, 5, 0], [5, 0, 0, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 5, 0, 0], [5, 5, 0, 0, 5, 5, 5, 5, 0, 0, 5, 5, 5, 0, 5, 5, 0, 5, 5, 5], [0, 5, 5, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 5, 0, 5, 0, 0], [0, 0, 5, 5, 5, 5, 5, 5, 0, 5, 5, 0, 0, 0, 5, 5, 5, 5, 0, 0], [0, 5, 5, 0, 5, 0, 5, 0, 5, 0, 0, 5, 5, 0, 5, 5, 5, 0, 5, 5], [0, 6, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 6, 0, 0, 0, 6], [6, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 6, 0, 6, 6, 6, 0, 0, 0, 6], [6, 0, 6, 6, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 0, 6, 0, 0], [0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 0], [6, 0, 6, 0, 6, 0, 6, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 6, 0, 0], [6, 0, 6, 6, 6, 0, 6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 6, 0, 6, 0], [6, 0, 0, 0, 0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 0, 6, 6, 0], [6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 6, 6, 6, 0, 0, 6, 6], [6, 6, 6, 0, 0, 6, 6, 0, 0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6], [6, 6, 0, 6, 6, 0, 6, 0, 0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 6, 6], [0, 6, 6, 0, 0, 0, 0, 6, 0, 6, 0, 6, 0, 0, 6, 6, 6, 6, 0, 0], [6, 0, 6, 0, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 0, 0, 6, 0, 6, 0], [6, 6, 0, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 6], [6, 0, 6, 0, 0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 6], [0, 6, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0], [6, 0, 0, 6, 6, 6, 0, 0, 6, 0, 0, 6, 6, 6, 0, 0, 0, 6, 0, 0], [0, 6, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0, 0, 0, 6, 0, 6, 6, 6, 0], [6, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0], [6, 6, 6, 6, 6, 0, 6, 6, 0, 0, 6, 6, 0, 0, 0, 6, 0, 0, 6, 0], [6, 6, 0, 6, 6, 6, 6, 0, 6, 6, 0, 6, 0, 0, 6, 0, 0, 6, 0, 6]] -> [[0, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 0, 0, 7], [7, 0, 7, 0, 0, 7, 7, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0], [7, 0, 7, 0, 7, 7, 0, 7, 0, 7, 7, 0, 7, 0, 7, 7, 7, 0, 0, 0], [0, 7, 7, 0, 0, 0, 7, 7, 7, 0, 7, 0, 0, 0, 7, 7, 7, 0, 7, 0], [7, 0, 7, 0, 7, 0, 7, 0, 0, 7, 7, 7, 7, 0, 0, 0, 7, 0, 7, 7], [7, 7, 7, 7, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7, 7, 7, 7, 7, 7, 7], [7, 0, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7, 0, 0, 0, 7, 0], [7, 0, 7, 7, 0, 7, 7, 0, 7, 0, 0, 7, 0, 0, 7, 0, 7, 0, 7, 7], [7, 0, 7, 7, 0, 0, 7, 7, 0, 0, 7, 0, 7, 7, 0, 0, 0, 0, 7, 7], [7, 7, 0, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 7, 0, 7, 7, 0, 7, 7], [0, 7, 7, 7, 0, 7, 7, 0, 7, 7, 0, 0, 7, 7, 7, 0, 7, 7, 0, 7], [7, 7, 7, 0, 0, 0, 7, 0, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7], [7, 7, 0, 0, 0, 7, 7, 0, 7, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0], [7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 7, 7, 7, 7, 7, 0, 7, 7], [7, 7, 0, 7, 0, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 7, 0], [7, 0, 0, 0, 7, 0, 7, 0, 7, 0, 0, 7, 7, 7, 7, 7, 7, 0, 0, 0], [7, 0, 0, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 0, 7, 7], [7, 7, 7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 7, 7, 0, 7, 7, 0, 0, 0], [7, 7, 7, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 0, 7, 0, 7, 7, 7, 0], [7, 0, 7, 7, 7, 7, 7, 0, 7, 7, 0, 0, 7, 0, 7, 7, 7, 7, 7, 0]]\nExample input-output arrays:\n[[5, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 5, 0, 0, 5, 0, 0, 0, 5], [0, 0, 0, 5, 5, 5, 0, 5, 5, 0, 0, 5, 5, 5, 0, 5, 5, 5, 5, 5], [5, 5, 0, 0, 0, 0, 5, 0, 0, 5, 5, 0, 5, 5, 5, 0, 0, 5, 5, 0], [5, 5, 5, 0, 5, 5, 5, 5, 5, 5, 5, 5, 0, 5, 0, 0, 0, 0, 5, 5], [0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 5, 0, 5, 0, 5, 5, 5, 0, 5, 0], [5, 5, 0, 5, 0, 0, 5, 0, 5, 5, 5, 0, 0, 5, 5, 5, 0, 5, 5, 5], [5, 0, 0, 0, 0, 5, 5, 5, 5, 0, 5, 5, 0, 5, 0, 5, 0, 5, 0, 0], [5, 5, 5, 0, 5, 5, 5, 0, 0, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0, 5], [0, 5, 0, 0, 0, 5, 5, 0, 0, 5, 5, 0, 5, 5, 5, 5, 5, 0, 0, 0], [5, 5, 5, 5, 0, 5, 5, 5, 0, 5, 5, 5, 0, 0, 0, 0, 5, 0, 0, 5], [0, 5, 0, 0, 5, 0, 0, 0, 0, 5, 5, 0, 5, 5, 5, 0, 5, 0, 0, 0], [5, 0, 0, 5, 0, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 5, 5, 5, 5, 5], [5, 0, 5, 5, 0, 0, 0, 0, 0, 5, 0, 5, 5, 0, 5, 5, 5, 5, 0, 0], [0, 5, 0, 5, 0, 0, 0, 5, 5, 5, 5, 5, 0, 5, 0, 0, 5, 5, 5, 5], [5, 0, 5, 5, 0, 5, 0, 0, 0, 5, 0, 5, 5, 5, 0, 5, 0, 5, 0, 5], [0, 5, 5, 5, 0, 5, 5, 0, 5, 0, 5, 5, 0, 0, 0, 5, 0, 5, 0, 0], [5, 0, 5, 5, 0, 0, 5, 0, 5, 0, 0, 0, 5, 5, 0, 5, 5, 5, 5, 0], [5, 5, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 0, 5], [5, 5, 0, 0, 0, 0, 5, 5, 0, 0, 5, 5, 5, 0, 0, 0, 5, 5, 5, 5], [5, 0, 0, 0, 0, 5, 5, 5, 5, 0, 0, 5, 5, 5, 5, 5, 5, 0, 5, 5], [6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 6, 0, 6, 0, 0, 0, 0, 0, 6, 0], [0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 6, 0, 0, 0, 6, 6, 6, 6, 6, 0], [6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 6, 0, 6, 6, 6, 6, 0, 6, 0, 6], [0, 0, 0, 0, 0, 6, 0, 6, 0, 6, 6, 0, 6, 0, 0, 6, 6, 0, 0, 0], [0, 6, 6, 0, 6, 0, 6, 0, 6, 0, 6, 6, 6, 0, 0, 0, 6, 6, 6, 0], [6, 6, 6, 6, 0, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 0, 6, 6, 0, 6], [0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0], [0, 6, 6, 0, 0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 6, 0, 0, 6, 0, 6], [6, 6, 6, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 6, 6, 6, 6, 0, 0, 6], [6, 0, 6, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0, 0, 6, 6, 0], [6, 6, 6, 0, 6, 0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 6], [6, 6, 0, 6, 0, 6, 0, 6, 6, 0, 6, 0, 0, 0, 0, 6, 6, 6, 0, 6], [6, 6, 6, 6, 6, 6, 0, 0, 0, 6, 0, 0, 6, 0, 6, 6, 0, 0, 0, 0], [6, 6, 6, 6, 0, 6, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 0], [6, 6, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6], [0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 6, 6, 6, 6, 0, 6, 6], [0, 6, 0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 0, 6, 6, 6, 6], [6, 6, 6, 6, 6, 0, 6, 0, 0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 6, 6], [6, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 6, 0, 0, 6, 0, 6], [6, 6, 0, 6, 6, 0, 0, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0]] -> [[7, 7, 7, 7, 0, 0, 0, 0, 7, 0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 7], [0, 0, 0, 0, 7, 7, 0, 0, 7, 0, 7, 7, 7, 7, 7, 0, 7, 0, 7, 7], [7, 7, 7, 7, 7, 0, 7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 0, 7, 7], [7, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7], [0, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0], [7, 0, 7, 0, 0, 0, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7, 0], [7, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 0, 7, 0], [7, 0, 7, 0, 7, 7, 7, 7, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 0], [7, 0, 7, 0, 7, 7, 7, 7, 0, 0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 7], [7, 7, 7, 7, 0, 7, 7, 7, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 7, 7], [7, 0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 7], [7, 7, 0, 0, 0, 7, 7, 7, 7, 0, 7, 7, 0, 7, 0, 0, 7, 0, 7, 0], [7, 7, 7, 0, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7, 7, 0, 0], [7, 0, 7, 0, 0, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 7, 7], [7, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7, 0], [0, 0, 7, 7, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 7, 0, 7, 7, 7, 7], [7, 7, 7, 7, 0, 0, 7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 7, 0, 7, 7], [7, 0, 7, 0, 7, 0, 7, 0, 0, 7, 7, 0, 0, 7, 7, 7, 7, 7, 7, 0], [7, 0, 7, 7, 0, 0, 7, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0], [7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7]]\nExample input-output arrays:\n[[0, 5, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 5, 5, 0, 0, 5, 0, 0, 0], [0, 0, 5, 0, 5, 5, 5, 0, 5, 5, 0, 5, 0, 5, 5, 5, 0, 0, 0, 5], [0, 0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 5, 5, 0, 0], [0, 5, 5, 5, 5, 0, 0, 0, 0, 5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 0], [0, 5, 5, 5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 0, 5, 5, 5, 5, 5, 5], [0, 5, 0, 0, 5, 5, 0, 5, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 5], [5, 5, 0, 0, 5, 5, 0, 0, 0, 5, 5, 5, 5, 5, 5, 5, 0, 0, 0, 5], [5, 0, 5, 0, 0, 5, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0], [5, 5, 0, 5, 5, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 5], [0, 0, 0, 0, 0, 5, 0, 0, 5, 0, 5, 0, 0, 5, 0, 5, 5, 5, 5, 0], [0, 0, 0, 5, 0, 5, 5, 0, 0, 5, 5, 0, 0, 5, 0, 5, 0, 5, 0, 5], [5, 0, 5, 0, 5, 0, 0, 5, 0, 5, 5, 0, 5, 5, 5, 5, 5, 5, 5, 0], [5, 0, 5, 5, 0, 5, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 5, 0, 0, 0], [0, 5, 5, 0, 0, 5, 5, 0, 0, 5, 5, 0, 5, 0, 0, 5, 5, 5, 5, 5], [5, 0, 5, 0, 5, 5, 0, 5, 0, 5, 0, 5, 5, 5, 0, 0, 0, 0, 5, 0], [0, 5, 5, 0, 5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 5, 0, 0, 5, 5], [0, 5, 5, 0, 0, 0, 5, 0, 0, 5, 0, 0, 5, 5, 0, 0, 0, 0, 0, 5], [5, 5, 0, 0, 0, 5, 5, 0, 5, 5, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0], [0, 5, 0, 0, 5, 5, 0, 5, 0, 0, 5, 5, 0, 5, 5, 0, 5, 0, 0, 5], [0, 6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 6, 0], [0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 6, 6, 0, 6, 6, 0, 0], [0, 6, 0, 6, 6, 0, 0, 6, 0, 6, 6, 6, 6, 0, 0, 0, 6, 6, 0, 0], [6, 0, 6, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6, 6, 6, 0, 0, 0, 6, 0], [0, 0, 6, 6, 6, 0, 0, 6, 6, 6, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6], [0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6, 0, 0, 6, 0, 6, 0, 6, 6, 6], [0, 0, 6, 0, 6, 6, 0, 0, 0, 6, 6, 6, 0, 0, 0, 6, 6, 6, 6, 6], [0, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 6, 0, 0], [6, 0, 0, 0, 6, 6, 6, 0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 0, 6], [6, 6, 6, 0, 0, 6, 0, 6, 0, 6, 0, 0, 0, 6, 0, 0, 0, 0, 6, 6], [6, 6, 0, 6, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [0, 6, 0, 0, 6, 0, 0, 6, 6, 6, 0, 0, 6, 6, 0, 6, 0, 6, 0, 0], [6, 6, 0, 6, 0, 0, 6, 0, 6, 6, 6, 6, 6, 0, 0, 0, 6, 6, 0, 0], [6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 0, 6, 0, 6, 6, 6, 0, 6, 0, 0], [0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 6, 0, 6, 0, 0, 6, 0, 6, 6, 0], [6, 6, 6, 0, 0, 0, 0, 6, 0, 0, 6, 6, 0, 6, 0, 0, 0, 6, 6, 0], [6, 6, 0, 6, 6, 0, 0, 6, 0, 6, 6, 6, 0, 0, 6, 6, 0, 0, 0, 6], [0, 6, 0, 0, 0, 0, 6, 0, 6, 6, 6, 6, 6, 0, 6, 0, 6, 6, 0, 0], [0, 6, 0, 0, 0, 0, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6, 0, 6, 0], [6, 6, 6, 6, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6]] -> [[0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 0], [0, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7, 0, 0, 7, 7, 7, 7, 0, 7], [0, 7, 0, 7, 7, 7, 0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0], [7, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 0, 0, 7, 0], [0, 7, 7, 0, 7, 7, 7, 0, 7, 0, 0, 0, 7, 7, 7, 7, 7, 0, 7, 0], [0, 0, 7, 7, 7, 0, 7, 7, 0, 0, 7, 0, 0, 7, 7, 0, 7, 7, 7, 0], [7, 7, 7, 0, 7, 0, 0, 0, 0, 0, 7, 0, 7, 7, 7, 0, 7, 7, 7, 0], [7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 0, 7, 0, 0, 0, 0, 0], [7, 7, 0, 7, 7, 7, 7, 0, 0, 7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 0], [7, 7, 7, 0, 0, 0, 0, 7, 7, 7, 7, 0, 0, 0, 0, 7, 7, 7, 7, 7], [7, 7, 0, 0, 7, 0, 7, 7, 0, 0, 7, 7, 7, 0, 7, 0, 7, 0, 7, 0], [7, 7, 7, 0, 7, 0, 0, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0], [7, 7, 7, 0, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 0], [7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 7, 7, 7, 7, 7, 0, 7, 0, 7, 7], [7, 0, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 0, 7, 0, 7, 7, 0], [7, 0, 7, 0, 7, 0, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 0, 7, 7, 0], [7, 7, 0, 0, 7, 0, 0, 0, 0, 7, 7, 7, 7, 0, 7, 0, 0, 0, 7, 0], [0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7, 0, 7, 7, 0, 7], [7, 0, 0, 0, 0, 7, 7, 7, 7, 0, 0, 7, 7, 0, 0, 0, 7, 0, 7, 0], [7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing the causal function for some elements.\n[[5, 0, 5, 5, 5, 5, 0, 0, 0, 5, 5, 5, 0, 0, 5, 5, 0, 5, 5, 5], [5, 5, 0, 5, 0, 0, 0, 5, 0, 0, 5, 0, 5, 0, 0, 0, 5, 5, 5, 0], [5, 5, 5, 5, 0, 0, 5, 5, 5, 0, 0, 0, 5, 5, 5, 5, 0, 0, 5, 5], [5, 0, 0, 0, 0, 5, 5, 5, 5, 0, 0, 0, 0, 5, 0, 5, 5, 5, 0, 5], [5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 5, 5, 0, 0, 0, 0, 0, 0], [5, 0, 5, 5, 0, 0, 5, 0, 5, 5, 5, 5, 5, 5, 0, 0, 0, 5, 5, 0], [0, 0, 5, 5, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0], [0, 5, 0, 5, 5, 0, 0, 0, 0, 0, 5, 5, 5, 5, 5, 5, 5, 0, 5, 5], [0, 0, 5, 0, 0, 5, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0, 0, 0], [5, 5, 5, 5, 5, 0, 5, 5, 0, 5, 0, 5, 5, 0, 5, 0, 0, 0, 0, 5], [5, 5, 5, 0, 5, 0, 0, 5, 5, 0, 0, 5, 5, 0, 5, 0, 5, 0, 5, 0], [0, 5, 0, 5, 0, 5, 5, 0, 5, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 5], [0, 5, 0, 0, 5, 0, 5, 5, 5, 5, 5, 5, 5, 0, 0, 0, 0, 5, 5, 5], [5, 0, 0, 5, 5, 0, 0, 5, 5, 0, 0, 5, 0, 5, 5, 0, 0, 0, 0, 0], [0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 5, 0, 0, 0, 5, 5, 5, 5, 0, 5], [5, 0, 0, 5, 0, 5, 5, 5, 0, 5, 5, 5, 5, 5, 0, 5, 5, 5, 5, 5], [5, 5, 5, 0, 5, 5, 5, 0, 5, 5, 5, 5, 0, 5, 5, 0, 5, 5, 0, 0], [5, 0, 0, 5, 5, 5, 0, 5, 5, 0, 5, 5, 0, 0, 5, 5, 5, 5, 5, 0], [0, 0, 5, 5, 5, 0, 0, 5, 0, 0, 5, 5, 0, 5, 5, 5, 0, 5, 5, 5], [5, 0, 5, 5, 0, 0, 5, 0, 5, 5, 0, 0, 5, 0, 0, 5, 0, 5, 5, 0], [6, 6, 6, 6, 0, 0, 0, 6, 0, 6, 0, 6, 6, 0, 0, 0, 6, 0, 0, 6], [0, 0, 0, 0, 6, 0, 6, 0, 6, 0, 6, 6, 6, 0, 6, 6, 0, 6, 0, 0], [6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 0, 6], [6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0], [0, 0, 6, 0, 0, 6, 6, 0, 0, 6, 0, 0, 0, 6, 6, 6, 0, 0, 6, 0], [0, 0, 6, 0, 0, 6, 6, 0, 6, 0, 0, 6, 0, 0, 6, 0, 6, 0, 6, 0], [6, 0, 0, 6, 0, 6, 0, 0, 6, 0, 6, 0, 6, 0, 6, 6, 0, 6, 6, 6], [6, 6, 6, 6, 6, 0, 6, 0, 0, 6, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0], [6, 0, 0, 6, 6, 6, 0, 6, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 0], [6, 0, 0, 6, 0, 0, 0, 6, 0, 0, 0, 0, 0, 6, 6, 0, 6, 0, 0, 0], [0, 6, 6, 6, 0, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 0, 6, 6, 0, 6], [6, 6, 0, 6, 0, 0, 0, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 0, 0, 0], [0, 0, 0, 6, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 0, 6, 0, 0, 0, 0], [0, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6, 6, 0, 0, 0, 0, 6, 0, 6, 6], [0, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 0, 6], [6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 0, 0], [6, 6, 6, 6, 0, 0, 6, 6, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0, 0, 6], [6, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 6, 0, 0, 6, 0, 6, 6, 0, 6], [6, 6, 6, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 6, 0, 6, 0, 0, 6], [0, 6, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 6]] -> ",
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+                    ],
+                    "output": [
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+                        [
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+                }
+            },
+            "Replicate 4": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 5, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 5, 5, 0, 0, 5, 0, 0, 0], [0, 0, 5, 0, 5, 5, 5, 0, 5, 5, 0, 5, 0, 5, 5, 5, 0, 0, 0, 5], [0, 0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 5, 5, 0, 0], [0, 5, 5, 5, 5, 0, 0, 0, 0, 5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 0], [0, 5, 5, 5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 0, 5, 5, 5, 5, 5, 5], [0, 5, 0, 0, 5, 5, 0, 5, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 5], [5, 5, 0, 0, 5, 5, 0, 0, 0, 5, 5, 5, 5, 5, 5, 5, 0, 0, 0, 5], [5, 0, 5, 0, 0, 5, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0], [5, 5, 0, 5, 5, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 5], [0, 0, 0, 0, 0, 5, 0, 0, 5, 0, 5, 0, 0, 5, 0, 5, 5, 5, 5, 0], [0, 0, 0, 5, 0, 5, 5, 0, 0, 5, 5, 0, 0, 5, 0, 5, 0, 5, 0, 5], [5, 0, 5, 0, 5, 0, 0, 5, 0, 5, 5, 0, 5, 5, 5, 5, 5, 5, 5, 0], [5, 0, 5, 5, 0, 5, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 5, 0, 0, 0], [0, 5, 5, 0, 0, 5, 5, 0, 0, 5, 5, 0, 5, 0, 0, 5, 5, 5, 5, 5], [5, 0, 5, 0, 5, 5, 0, 5, 0, 5, 0, 5, 5, 5, 0, 0, 0, 0, 5, 0], [0, 5, 5, 0, 5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 5, 0, 0, 5, 5], [0, 5, 5, 0, 0, 0, 5, 0, 0, 5, 0, 0, 5, 5, 0, 0, 0, 0, 0, 5], [5, 5, 0, 0, 0, 5, 5, 0, 5, 5, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0], [0, 5, 0, 0, 5, 5, 0, 5, 0, 0, 5, 5, 0, 5, 5, 0, 5, 0, 0, 5], [0, 6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 6, 0], [0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 6, 6, 0, 6, 6, 0, 0], [0, 6, 0, 6, 6, 0, 0, 6, 0, 6, 6, 6, 6, 0, 0, 0, 6, 6, 0, 0], [6, 0, 6, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6, 6, 6, 0, 0, 0, 6, 0], [0, 0, 6, 6, 6, 0, 0, 6, 6, 6, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6], [0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6, 0, 0, 6, 0, 6, 0, 6, 6, 6], [0, 0, 6, 0, 6, 6, 0, 0, 0, 6, 6, 6, 0, 0, 0, 6, 6, 6, 6, 6], [0, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 6, 0, 0], [6, 0, 0, 0, 6, 6, 6, 0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 0, 6], [6, 6, 6, 0, 0, 6, 0, 6, 0, 6, 0, 0, 0, 6, 0, 0, 0, 0, 6, 6], [6, 6, 0, 6, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [0, 6, 0, 0, 6, 0, 0, 6, 6, 6, 0, 0, 6, 6, 0, 6, 0, 6, 0, 0], [6, 6, 0, 6, 0, 0, 6, 0, 6, 6, 6, 6, 6, 0, 0, 0, 6, 6, 0, 0], [6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 0, 6, 0, 6, 6, 6, 0, 6, 0, 0], [0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 6, 0, 6, 0, 0, 6, 0, 6, 6, 0], [6, 6, 6, 0, 0, 0, 0, 6, 0, 0, 6, 6, 0, 6, 0, 0, 0, 6, 6, 0], [6, 6, 0, 6, 6, 0, 0, 6, 0, 6, 6, 6, 0, 0, 6, 6, 0, 0, 0, 6], [0, 6, 0, 0, 0, 0, 6, 0, 6, 6, 6, 6, 6, 0, 6, 0, 6, 6, 0, 0], [0, 6, 0, 0, 0, 0, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6, 0, 6, 0], [6, 6, 6, 6, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6]] -> [[0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 0], [0, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7, 0, 0, 7, 7, 7, 7, 0, 7], [0, 7, 0, 7, 7, 7, 0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0], [7, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 0, 0, 7, 0], [0, 7, 7, 0, 7, 7, 7, 0, 7, 0, 0, 0, 7, 7, 7, 7, 7, 0, 7, 0], [0, 0, 7, 7, 7, 0, 7, 7, 0, 0, 7, 0, 0, 7, 7, 0, 7, 7, 7, 0], [7, 7, 7, 0, 7, 0, 0, 0, 0, 0, 7, 0, 7, 7, 7, 0, 7, 7, 7, 0], [7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 0, 7, 0, 0, 0, 0, 0], [7, 7, 0, 7, 7, 7, 7, 0, 0, 7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 0], [7, 7, 7, 0, 0, 0, 0, 7, 7, 7, 7, 0, 0, 0, 0, 7, 7, 7, 7, 7], [7, 7, 0, 0, 7, 0, 7, 7, 0, 0, 7, 7, 7, 0, 7, 0, 7, 0, 7, 0], [7, 7, 7, 0, 7, 0, 0, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0], [7, 7, 7, 0, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 0], [7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 7, 7, 7, 7, 7, 0, 7, 0, 7, 7], [7, 0, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 0, 7, 0, 7, 7, 0], [7, 0, 7, 0, 7, 0, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 0, 7, 7, 0], [7, 7, 0, 0, 7, 0, 0, 0, 0, 7, 7, 7, 7, 0, 7, 0, 0, 0, 7, 0], [0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7, 0, 7, 7, 0, 7], [7, 0, 0, 0, 0, 7, 7, 7, 7, 0, 0, 7, 7, 0, 0, 0, 7, 0, 7, 0], [7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0]]\nExample input-output arrays:\n[[5, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 5, 0, 0, 5, 0, 0, 0, 5], [0, 0, 0, 5, 5, 5, 0, 5, 5, 0, 0, 5, 5, 5, 0, 5, 5, 5, 5, 5], [5, 5, 0, 0, 0, 0, 5, 0, 0, 5, 5, 0, 5, 5, 5, 0, 0, 5, 5, 0], [5, 5, 5, 0, 5, 5, 5, 5, 5, 5, 5, 5, 0, 5, 0, 0, 0, 0, 5, 5], [0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 5, 0, 5, 0, 5, 5, 5, 0, 5, 0], [5, 5, 0, 5, 0, 0, 5, 0, 5, 5, 5, 0, 0, 5, 5, 5, 0, 5, 5, 5], [5, 0, 0, 0, 0, 5, 5, 5, 5, 0, 5, 5, 0, 5, 0, 5, 0, 5, 0, 0], [5, 5, 5, 0, 5, 5, 5, 0, 0, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0, 5], [0, 5, 0, 0, 0, 5, 5, 0, 0, 5, 5, 0, 5, 5, 5, 5, 5, 0, 0, 0], [5, 5, 5, 5, 0, 5, 5, 5, 0, 5, 5, 5, 0, 0, 0, 0, 5, 0, 0, 5], [0, 5, 0, 0, 5, 0, 0, 0, 0, 5, 5, 0, 5, 5, 5, 0, 5, 0, 0, 0], [5, 0, 0, 5, 0, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 5, 5, 5, 5, 5], [5, 0, 5, 5, 0, 0, 0, 0, 0, 5, 0, 5, 5, 0, 5, 5, 5, 5, 0, 0], [0, 5, 0, 5, 0, 0, 0, 5, 5, 5, 5, 5, 0, 5, 0, 0, 5, 5, 5, 5], [5, 0, 5, 5, 0, 5, 0, 0, 0, 5, 0, 5, 5, 5, 0, 5, 0, 5, 0, 5], [0, 5, 5, 5, 0, 5, 5, 0, 5, 0, 5, 5, 0, 0, 0, 5, 0, 5, 0, 0], [5, 0, 5, 5, 0, 0, 5, 0, 5, 0, 0, 0, 5, 5, 0, 5, 5, 5, 5, 0], [5, 5, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 0, 5], [5, 5, 0, 0, 0, 0, 5, 5, 0, 0, 5, 5, 5, 0, 0, 0, 5, 5, 5, 5], [5, 0, 0, 0, 0, 5, 5, 5, 5, 0, 0, 5, 5, 5, 5, 5, 5, 0, 5, 5], [6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 6, 0, 6, 0, 0, 0, 0, 0, 6, 0], [0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 6, 0, 0, 0, 6, 6, 6, 6, 6, 0], [6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 6, 0, 6, 6, 6, 6, 0, 6, 0, 6], [0, 0, 0, 0, 0, 6, 0, 6, 0, 6, 6, 0, 6, 0, 0, 6, 6, 0, 0, 0], [0, 6, 6, 0, 6, 0, 6, 0, 6, 0, 6, 6, 6, 0, 0, 0, 6, 6, 6, 0], [6, 6, 6, 6, 0, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 0, 6, 6, 0, 6], [0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0], [0, 6, 6, 0, 0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 6, 0, 0, 6, 0, 6], [6, 6, 6, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 6, 6, 6, 6, 0, 0, 6], [6, 0, 6, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0, 0, 6, 6, 0], [6, 6, 6, 0, 6, 0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 6], [6, 6, 0, 6, 0, 6, 0, 6, 6, 0, 6, 0, 0, 0, 0, 6, 6, 6, 0, 6], [6, 6, 6, 6, 6, 6, 0, 0, 0, 6, 0, 0, 6, 0, 6, 6, 0, 0, 0, 0], [6, 6, 6, 6, 0, 6, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 0], [6, 6, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6], [0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 6, 6, 6, 6, 0, 6, 6], [0, 6, 0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 0, 6, 6, 6, 6], [6, 6, 6, 6, 6, 0, 6, 0, 0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 6, 6], [6, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 6, 0, 0, 6, 0, 6], [6, 6, 0, 6, 6, 0, 0, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0]] -> [[7, 7, 7, 7, 0, 0, 0, 0, 7, 0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 7], [0, 0, 0, 0, 7, 7, 0, 0, 7, 0, 7, 7, 7, 7, 7, 0, 7, 0, 7, 7], [7, 7, 7, 7, 7, 0, 7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 0, 7, 7], [7, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7], [0, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0], [7, 0, 7, 0, 0, 0, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7, 0], [7, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 0, 7, 0], [7, 0, 7, 0, 7, 7, 7, 7, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 0], [7, 0, 7, 0, 7, 7, 7, 7, 0, 0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 7], [7, 7, 7, 7, 0, 7, 7, 7, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 7, 7], [7, 0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 7], [7, 7, 0, 0, 0, 7, 7, 7, 7, 0, 7, 7, 0, 7, 0, 0, 7, 0, 7, 0], [7, 7, 7, 0, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7, 7, 0, 0], [7, 0, 7, 0, 0, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 7, 7], [7, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7, 0], [0, 0, 7, 7, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 7, 0, 7, 7, 7, 7], [7, 7, 7, 7, 0, 0, 7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 7, 0, 7, 7], [7, 0, 7, 0, 7, 0, 7, 0, 0, 7, 7, 0, 0, 7, 7, 7, 7, 7, 7, 0], [7, 0, 7, 7, 0, 0, 7, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0], [7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7]]\nExample input-output arrays:\n[[0, 0, 5, 0, 5, 5, 5, 5, 0, 0, 0, 5, 0, 0, 5, 0, 0, 0, 0, 0], [5, 0, 5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 5, 0, 5, 5, 5, 5], [5, 0, 5, 5, 5, 0, 0, 0, 0, 0, 5, 0, 5, 5, 5, 0, 5, 5, 0, 0], [0, 5, 5, 0, 0, 5, 5, 5, 5, 0, 5, 0, 0, 0, 0, 0, 5, 5, 5, 0], [0, 0, 5, 0, 5, 0, 5, 0, 0, 5, 5, 0, 5, 0, 0, 0, 5, 5, 5, 5], [0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 5, 5, 5], [5, 0, 5, 5, 5, 0, 5, 5, 0, 0, 5, 0, 5, 5, 0, 5, 0, 5, 5, 0], [0, 5, 5, 5, 0, 5, 5, 0, 0, 5, 0, 5, 0, 5, 5, 5, 5, 0, 0, 0], [5, 5, 0, 5, 0, 5, 0, 5, 0, 5, 5, 5, 5, 0, 0, 5, 0, 5, 5, 0], [0, 0, 0, 5, 5, 5, 5, 5, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 5, 0], [0, 0, 5, 5, 0, 5, 5, 5, 5, 0, 0, 5, 5, 5, 0, 5, 5, 0, 0, 5], [5, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 5, 0, 0, 5, 0, 0, 5, 5, 5], [5, 0, 0, 0, 0, 0, 5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 5, 5, 5, 5], [5, 5, 0, 5, 5, 5, 5, 0, 0, 5, 0, 5, 5, 5, 5, 5, 0, 5, 5, 0], [5, 0, 0, 0, 0, 5, 5, 0, 0, 5, 0, 5, 5, 5, 0, 5, 0, 0, 5, 0], [5, 0, 0, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 5, 0, 0], [5, 5, 0, 0, 5, 5, 5, 5, 0, 0, 5, 5, 5, 0, 5, 5, 0, 5, 5, 5], [0, 5, 5, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 5, 0, 5, 0, 0], [0, 0, 5, 5, 5, 5, 5, 5, 0, 5, 5, 0, 0, 0, 5, 5, 5, 5, 0, 0], [0, 5, 5, 0, 5, 0, 5, 0, 5, 0, 0, 5, 5, 0, 5, 5, 5, 0, 5, 5], [0, 6, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 6, 0, 0, 0, 6], [6, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 6, 0, 6, 6, 6, 0, 0, 0, 6], [6, 0, 6, 6, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 0, 6, 0, 0], [0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 0], [6, 0, 6, 0, 6, 0, 6, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 6, 0, 0], [6, 0, 6, 6, 6, 0, 6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 6, 0, 6, 0], [6, 0, 0, 0, 0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 0, 6, 6, 0], [6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 6, 6, 6, 0, 0, 6, 6], [6, 6, 6, 0, 0, 6, 6, 0, 0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6], [6, 6, 0, 6, 6, 0, 6, 0, 0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 6, 6], [0, 6, 6, 0, 0, 0, 0, 6, 0, 6, 0, 6, 0, 0, 6, 6, 6, 6, 0, 0], [6, 0, 6, 0, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 0, 0, 6, 0, 6, 0], [6, 6, 0, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 6], [6, 0, 6, 0, 0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 6], [0, 6, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0], [6, 0, 0, 6, 6, 6, 0, 0, 6, 0, 0, 6, 6, 6, 0, 0, 0, 6, 0, 0], [0, 6, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0, 0, 0, 6, 0, 6, 6, 6, 0], [6, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0], [6, 6, 6, 6, 6, 0, 6, 6, 0, 0, 6, 6, 0, 0, 0, 6, 0, 0, 6, 0], [6, 6, 0, 6, 6, 6, 6, 0, 6, 6, 0, 6, 0, 0, 6, 0, 0, 6, 0, 6]] -> [[0, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 0, 0, 7], [7, 0, 7, 0, 0, 7, 7, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0], [7, 0, 7, 0, 7, 7, 0, 7, 0, 7, 7, 0, 7, 0, 7, 7, 7, 0, 0, 0], [0, 7, 7, 0, 0, 0, 7, 7, 7, 0, 7, 0, 0, 0, 7, 7, 7, 0, 7, 0], [7, 0, 7, 0, 7, 0, 7, 0, 0, 7, 7, 7, 7, 0, 0, 0, 7, 0, 7, 7], [7, 7, 7, 7, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7, 7, 7, 7, 7, 7, 7], [7, 0, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7, 0, 0, 0, 7, 0], [7, 0, 7, 7, 0, 7, 7, 0, 7, 0, 0, 7, 0, 0, 7, 0, 7, 0, 7, 7], [7, 0, 7, 7, 0, 0, 7, 7, 0, 0, 7, 0, 7, 7, 0, 0, 0, 0, 7, 7], [7, 7, 0, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 7, 0, 7, 7, 0, 7, 7], [0, 7, 7, 7, 0, 7, 7, 0, 7, 7, 0, 0, 7, 7, 7, 0, 7, 7, 0, 7], [7, 7, 7, 0, 0, 0, 7, 0, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7], [7, 7, 0, 0, 0, 7, 7, 0, 7, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0], [7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 7, 7, 7, 7, 7, 0, 7, 7], [7, 7, 0, 7, 0, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 7, 0], [7, 0, 0, 0, 7, 0, 7, 0, 7, 0, 0, 7, 7, 7, 7, 7, 7, 0, 0, 0], [7, 0, 0, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 0, 7, 7], [7, 7, 7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 7, 7, 0, 7, 7, 0, 0, 0], [7, 7, 7, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 0, 7, 0, 7, 7, 7, 0], [7, 0, 7, 7, 7, 7, 7, 0, 7, 7, 0, 0, 7, 0, 7, 7, 7, 7, 7, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 0, 4, 0, 4, 4, 4, 4, 0, 0, 0, 4, 0, 0, 4, 0, 0, 0, 0, 0], [4, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 4, 0, 4, 0, 4, 4, 4, 4], [4, 0, 4, 4, 4, 0, 0, 0, 0, 0, 4, 0, 4, 4, 4, 0, 4, 4, 0, 0], [0, 4, 4, 0, 0, 4, 4, 4, 4, 0, 4, 0, 0, 0, 0, 0, 4, 4, 4, 0], [0, 0, 4, 0, 4, 0, 4, 0, 0, 4, 4, 0, 4, 0, 0, 0, 4, 4, 4, 4], [0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 4, 0, 4, 4, 4], [4, 0, 4, 4, 4, 0, 4, 4, 0, 0, 4, 0, 4, 4, 0, 4, 0, 4, 4, 0], [0, 4, 4, 4, 0, 4, 4, 0, 0, 4, 0, 4, 0, 4, 4, 4, 4, 0, 0, 0], [4, 4, 0, 4, 0, 4, 0, 4, 0, 4, 4, 4, 4, 0, 0, 4, 0, 4, 4, 0], [0, 0, 0, 4, 4, 4, 4, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 4, 0], [0, 0, 4, 4, 0, 4, 4, 4, 4, 0, 0, 4, 4, 4, 0, 4, 4, 0, 0, 4], [4, 4, 0, 0, 0, 4, 4, 0, 4, 0, 4, 4, 0, 0, 4, 0, 0, 4, 4, 4], [4, 0, 0, 0, 0, 0, 4, 0, 4, 4, 4, 4, 4, 0, 4, 0, 4, 4, 4, 4], [4, 4, 0, 4, 4, 4, 4, 0, 0, 4, 0, 4, 4, 4, 4, 4, 0, 4, 4, 0], [4, 0, 0, 0, 0, 4, 4, 0, 0, 4, 0, 4, 4, 4, 0, 4, 0, 0, 4, 0], [4, 0, 0, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 0, 0], [4, 4, 0, 0, 4, 4, 4, 4, 0, 0, 4, 4, 4, 0, 4, 4, 0, 4, 4, 4], [0, 4, 4, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 4, 0, 4, 0, 0], [0, 0, 4, 4, 4, 4, 4, 4, 0, 4, 4, 0, 0, 0, 4, 4, 4, 4, 0, 0], [0, 4, 4, 0, 4, 0, 4, 0, 4, 0, 0, 4, 4, 0, 4, 4, 4, 0, 4, 4], [0, 6, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 6, 0, 0, 0, 6], [6, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 6, 0, 6, 6, 6, 0, 0, 0, 6], [6, 0, 6, 6, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 0, 6, 0, 0], [0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 0], [6, 0, 6, 0, 6, 0, 6, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 6, 0, 0], [6, 0, 6, 6, 6, 0, 6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 6, 0, 6, 0], [6, 0, 0, 0, 0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 0, 6, 6, 0], [6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 6, 6, 6, 0, 0, 6, 6], [6, 6, 6, 0, 0, 6, 6, 0, 0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6], [6, 6, 0, 6, 6, 0, 6, 0, 0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 6, 6], [0, 6, 6, 0, 0, 0, 0, 6, 0, 6, 0, 6, 0, 0, 6, 6, 6, 6, 0, 0], [6, 0, 6, 0, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 0, 0, 6, 0, 6, 0], [6, 6, 0, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 6], [6, 0, 6, 0, 0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 6], [0, 6, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0], [6, 0, 0, 6, 6, 6, 0, 0, 6, 0, 0, 6, 6, 6, 0, 0, 0, 6, 0, 0], [0, 6, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0, 0, 0, 6, 0, 6, 6, 6, 0], [6, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0], [6, 6, 6, 6, 6, 0, 6, 6, 0, 0, 6, 6, 0, 0, 0, 6, 0, 0, 6, 0], [6, 6, 0, 6, 6, 6, 6, 0, 6, 6, 0, 6, 0, 0, 6, 0, 0, 6, 0, 6]] -> ",
+                "test": {
+                    "input": [
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+                    ]
+                }
+            }
+        },
+        "L3": {
+            "Replicate 0": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[5, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 5, 0, 0, 5, 0, 0, 0, 5], [0, 0, 0, 5, 5, 5, 0, 5, 5, 0, 0, 5, 5, 5, 0, 5, 5, 5, 5, 5], [5, 5, 0, 0, 0, 0, 5, 0, 0, 5, 5, 0, 5, 5, 5, 0, 0, 5, 5, 0], [5, 5, 5, 0, 5, 5, 5, 5, 5, 5, 5, 5, 0, 5, 0, 0, 0, 0, 5, 5], [0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 5, 0, 5, 0, 5, 5, 5, 0, 5, 0], [5, 5, 0, 5, 0, 0, 5, 0, 5, 5, 5, 0, 0, 5, 5, 5, 0, 5, 5, 5], [5, 0, 0, 0, 0, 5, 5, 5, 5, 0, 5, 5, 0, 5, 0, 5, 0, 5, 0, 0], [5, 5, 5, 0, 5, 5, 5, 0, 0, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0, 5], [0, 5, 0, 0, 0, 5, 5, 0, 0, 5, 5, 0, 5, 5, 5, 5, 5, 0, 0, 0], [5, 5, 5, 5, 0, 5, 5, 5, 0, 5, 5, 5, 0, 0, 0, 0, 5, 0, 0, 5], [0, 5, 0, 0, 5, 0, 0, 0, 0, 5, 5, 0, 5, 5, 5, 0, 5, 0, 0, 0], [5, 0, 0, 5, 0, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 5, 5, 5, 5, 5], [5, 0, 5, 5, 0, 0, 0, 0, 0, 5, 0, 5, 5, 0, 5, 5, 5, 5, 0, 0], [0, 5, 0, 5, 0, 0, 0, 5, 5, 5, 5, 5, 0, 5, 0, 0, 5, 5, 5, 5], [5, 0, 5, 5, 0, 5, 0, 0, 0, 5, 0, 5, 5, 5, 0, 5, 0, 5, 0, 5], [0, 5, 5, 5, 0, 5, 5, 0, 5, 0, 5, 5, 0, 0, 0, 5, 0, 5, 0, 0], [5, 0, 5, 5, 0, 0, 5, 0, 5, 0, 0, 0, 5, 5, 0, 5, 5, 5, 5, 0], [5, 5, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 0, 5], [5, 5, 0, 0, 0, 0, 5, 5, 0, 0, 5, 5, 5, 0, 0, 0, 5, 5, 5, 5], [5, 0, 0, 0, 0, 5, 5, 5, 5, 0, 0, 5, 5, 5, 5, 5, 5, 0, 5, 5], [6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 6, 0, 6, 0, 0, 0, 0, 0, 6, 0], [0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 6, 0, 0, 0, 6, 6, 6, 6, 6, 0], [6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 6, 0, 6, 6, 6, 6, 0, 6, 0, 6], [0, 0, 0, 0, 0, 6, 0, 6, 0, 6, 6, 0, 6, 0, 0, 6, 6, 0, 0, 0], [0, 6, 6, 0, 6, 0, 6, 0, 6, 0, 6, 6, 6, 0, 0, 0, 6, 6, 6, 0], [6, 6, 6, 6, 0, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 0, 6, 6, 0, 6], [0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0], [0, 6, 6, 0, 0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 6, 0, 0, 6, 0, 6], [6, 6, 6, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 6, 6, 6, 6, 0, 0, 6], [6, 0, 6, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0, 0, 6, 6, 0], [6, 6, 6, 0, 6, 0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 6], [6, 6, 0, 6, 0, 6, 0, 6, 6, 0, 6, 0, 0, 0, 0, 6, 6, 6, 0, 6], [6, 6, 6, 6, 6, 6, 0, 0, 0, 6, 0, 0, 6, 0, 6, 6, 0, 0, 0, 0], [6, 6, 6, 6, 0, 6, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 0], [6, 6, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6], [0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 6, 6, 6, 6, 0, 6, 6], [0, 6, 0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 0, 6, 6, 6, 6], [6, 6, 6, 6, 6, 0, 6, 0, 0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 6, 6], [6, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 6, 0, 0, 6, 0, 6], [6, 6, 0, 6, 6, 0, 0, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0]] -> [[7, 7, 7, 7, 0, 0, 0, 0, 7, 0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 7], [0, 0, 0, 0, 7, 7, 0, 0, 7, 0, 7, 7, 7, 7, 7, 0, 7, 0, 7, 7], [7, 7, 7, 7, 7, 0, 7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 0, 7, 7], [7, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7], [0, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0], [7, 0, 7, 0, 0, 0, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7, 0], [7, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 0, 7, 0], [7, 0, 7, 0, 7, 7, 7, 7, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 0], [7, 0, 7, 0, 7, 7, 7, 7, 0, 0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 7], [7, 7, 7, 7, 0, 7, 7, 7, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 7, 7], [7, 0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 7], [7, 7, 0, 0, 0, 7, 7, 7, 7, 0, 7, 7, 0, 7, 0, 0, 7, 0, 7, 0], [7, 7, 7, 0, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7, 7, 0, 0], [7, 0, 7, 0, 0, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 7, 7], [7, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7, 0], [0, 0, 7, 7, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 7, 0, 7, 7, 7, 7], [7, 7, 7, 7, 0, 0, 7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 7, 0, 7, 7], [7, 0, 7, 0, 7, 0, 7, 0, 0, 7, 7, 0, 0, 7, 7, 7, 7, 7, 7, 0], [7, 0, 7, 7, 0, 0, 7, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0], [7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[5, 5, 0, 0, 5, 0, 5, 5, 0, 5, 5, 5, 5, 0, 0, 5, 0, 5, 0, 0], [5, 0, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 5, 0, 5, 5], [0, 5, 5, 5, 5, 0, 5, 0, 0, 5, 0, 0, 5, 5, 5, 0, 5, 5, 5, 5], [0, 0, 0, 5, 0, 0, 5, 0, 0, 5, 5, 5, 5, 5, 0, 0, 0, 0, 0, 5], [5, 0, 0, 0, 0, 0, 0, 5, 0, 5, 5, 5, 0, 0, 5, 0, 0, 5, 5, 5], [5, 0, 5, 0, 0, 0, 0, 0, 5, 5, 0, 5, 5, 0, 5, 5, 0, 0, 0, 5], [5, 0, 5, 0, 5, 0, 0, 5, 5, 5, 0, 0, 0, 5, 5, 0, 0, 5, 0, 5], [5, 5, 0, 0, 0, 5, 0, 0, 5, 5, 5, 5, 5, 0, 5, 5, 0, 0, 0, 5], [0, 5, 0, 5, 0, 0, 0, 0, 5, 5, 5, 5, 5, 0, 0, 0, 0, 0, 5, 0], [5, 0, 0, 5, 5, 0, 5, 0, 0, 5, 0, 0, 5, 5, 0, 5, 0, 0, 0, 5], [5, 5, 0, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0, 0, 5, 0, 5, 0], [0, 5, 5, 0, 5, 5, 0, 0, 5, 5, 5, 0, 5, 5, 0, 0, 0, 0, 0, 5], [5, 0, 5, 0, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 0, 5, 5, 0, 5, 5], [0, 5, 0, 5, 0, 5, 0, 0, 5, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0], [0, 5, 0, 0, 5, 0, 5, 5, 0, 0, 5, 0, 5, 5, 5, 5, 5, 5, 5, 5], [5, 0, 0, 0, 5, 0, 0, 0, 5, 0, 5, 0, 0, 0, 5, 0, 0, 5, 0, 0], [0, 5, 0, 5, 5, 0, 5, 5, 0, 5, 0, 5, 0, 0, 5, 0, 0, 5, 5, 0], [0, 0, 5, 0, 5, 5, 5, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 0, 5, 0], [5, 5, 0, 0, 5, 5, 0, 0, 0, 5, 5, 0, 5, 5, 0, 0, 5, 5, 0, 0], [5, 5, 5, 0, 5, 5, 0, 5, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[7, 7, 0, 0, 7, 0, 7, 7, 0, 7, 7, 7, 7, 0, 0, 7, 0, 7, 0, 0], [7, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 7, 7], [0, 7, 7, 7, 7, 0, 7, 0, 0, 7, 0, 0, 7, 7, 7, 0, 7, 7, 7, 7], [0, 0, 0, 7, 0, 0, 7, 0, 0, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0, 7], [7, 0, 0, 0, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 7, 0, 0, 7, 7, 7], [7, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 0, 0, 7], [7, 0, 7, 0, 7, 0, 0, 7, 7, 7, 0, 0, 0, 7, 7, 0, 0, 7, 0, 7], [7, 7, 0, 0, 0, 7, 0, 0, 7, 7, 7, 7, 7, 0, 7, 7, 0, 0, 0, 7], [0, 7, 0, 7, 0, 0, 0, 0, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0, 7, 0], [7, 0, 0, 7, 7, 0, 7, 0, 0, 7, 0, 0, 7, 7, 0, 7, 0, 0, 0, 7], [7, 7, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 0, 0, 7, 0, 7, 0], [0, 7, 7, 0, 7, 7, 0, 0, 7, 7, 7, 0, 7, 7, 0, 0, 0, 0, 0, 7], [7, 0, 7, 0, 7, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 7, 7, 0, 7, 7], [0, 7, 0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 7, 0, 7, 7, 0, 0, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7], [7, 0, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7, 0, 0], [0, 7, 0, 7, 7, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 7, 0], [0, 0, 7, 0, 7, 7, 7, 0, 7, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0], [7, 7, 0, 0, 7, 7, 0, 0, 0, 7, 7, 0, 7, 7, 0, 0, 7, 7, 0, 0], [7, 7, 7, 0, 7, 7, 0, 7, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 7]]\nExample input-output arrays:\n[[0, 0, 5, 0, 0, 5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 0, 0, 0, 0, 5], [0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0], [5, 0, 0, 5, 0, 5, 0, 5, 0, 0, 5, 0, 0, 5, 5, 0, 0, 5, 0, 0], [5, 0, 0, 0, 5, 0, 5, 5, 5, 5, 0, 5, 5, 0, 0, 5, 5, 0, 0, 0], [0, 0, 5, 0, 0, 5, 5, 0, 0, 5, 5, 0, 0, 0, 5, 0, 5, 0, 0, 5], [5, 5, 0, 5, 5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 5, 5, 5, 5, 0, 5], [5, 0, 5, 0, 5, 5, 5, 0, 0, 5, 0, 5, 0, 5, 5, 0, 5, 5, 5, 5], [5, 0, 0, 5, 0, 5, 5, 5, 0, 0, 5, 0, 5, 5, 0, 5, 5, 0, 0, 5], [0, 0, 5, 0, 5, 5, 0, 5, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 0], [0, 5, 5, 0, 0, 5, 0, 0, 5, 0, 5, 0, 0, 0, 5, 0, 0, 5, 0, 5], [0, 0, 0, 0, 5, 5, 0, 0, 5, 0, 5, 5, 5, 5, 0, 5, 0, 5, 5, 5], [5, 5, 5, 0, 5, 5, 0, 0, 5, 5, 5, 0, 0, 5, 0, 5, 0, 0, 0, 0], [5, 0, 0, 0, 5, 5, 5, 5, 0, 0, 0, 5, 0, 0, 0, 5, 5, 5, 0, 0], [0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 0, 0, 0, 0, 0, 5, 5, 0, 5, 0], [5, 5, 0, 5, 5, 0, 5, 0, 0, 5, 0, 5, 5, 0, 0, 5, 5, 0, 0, 5], [5, 0, 5, 0, 5, 5, 0, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 0, 0, 5], [5, 5, 5, 5, 0, 5, 0, 5, 5, 5, 0, 5, 5, 0, 0, 0, 5, 5, 0, 5], [0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 5, 5, 0], [0, 5, 0, 5, 0, 0, 0, 5, 5, 0, 0, 0, 0, 5, 0, 0, 5, 0, 0, 5], [0, 5, 5, 5, 5, 5, 0, 0, 5, 5, 5, 0, 5, 5, 5, 0, 5, 5, 5, 0], [6, 0, 0, 6, 6, 0, 0, 0, 6, 6, 6, 6, 0, 0, 6, 0, 6, 0, 6, 0], [6, 6, 6, 0, 0, 6, 0, 6, 0, 6, 0, 6, 6, 0, 6, 6, 6, 6, 0, 0], [0, 6, 0, 6, 0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 6, 6, 0, 6, 0, 0], [0, 6, 6, 0, 6, 0, 0, 6, 6, 0, 6, 6, 0, 6, 0, 0, 6, 0, 0, 6], [6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6, 6, 6, 0, 0], [6, 6, 0, 0, 6, 6, 6, 6, 0, 6, 0, 0, 0, 0, 0, 6, 6, 0, 0, 6], [0, 0, 0, 6, 6, 0, 6, 0, 0, 6, 0, 6, 6, 0, 6, 0, 6, 6, 0, 6], [6, 6, 0, 6, 6, 6, 6, 6, 0, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6], [0, 0, 6, 6, 6, 0, 0, 6, 6, 0, 0, 6, 6, 0, 6, 6, 6, 0, 6, 0], [6, 0, 6, 0, 0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 6, 0, 0, 0, 6, 0], [6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 6, 6, 0, 6, 0, 6], [0, 0, 0, 0, 6, 6, 6, 0, 6, 0, 0, 0, 6, 0, 0, 0, 0, 0, 6, 6], [6, 0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 0, 6], [0, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 6], [6, 0, 6, 0, 6, 6, 0, 6, 0, 0, 6, 0, 6, 6, 6, 6, 0, 6, 0, 0], [0, 0, 0, 6, 6, 0, 0, 6, 0, 6, 6, 6, 0, 0, 6, 0, 6, 0, 0, 0], [0, 0, 6, 6, 6, 0, 0, 6, 0, 6, 0, 6, 0, 0, 6, 6, 0, 6, 0, 0], [6, 6, 6, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0], [0, 6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 6, 0, 0, 6], [0, 0, 6, 0, 6, 0, 0, 0, 0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 0, 0]] -> [[7, 0, 7, 7, 7, 7, 0, 7, 7, 0, 7, 0, 0, 7, 7, 0, 7, 0, 7, 7], [7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 0, 7, 0, 7, 7, 0, 0], [7, 7, 0, 0, 0, 7, 0, 7, 7, 0, 7, 0, 7, 0, 7, 7, 0, 0, 0, 0], [7, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 0, 7, 7, 0, 0, 7], [7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7], [7, 0, 0, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 0, 0], [7, 0, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0, 7, 7, 7, 0, 7, 0, 7, 0], [7, 7, 0, 0, 7, 0, 7, 0, 0, 0, 7, 7, 7, 0, 7, 0, 7, 7, 7, 0], [0, 0, 7, 7, 7, 7, 0, 0, 7, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0], [7, 7, 7, 0, 0, 7, 7, 7, 7, 0, 7, 7, 7, 0, 7, 0, 0, 7, 7, 7], [7, 0, 0, 0, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 0, 0, 0, 7, 0], [7, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 0, 7, 0, 0, 7, 7], [7, 0, 0, 7, 7, 7, 7, 7, 7, 7, 0, 0, 0, 7, 7, 7, 7, 0, 0, 7], [0, 7, 0, 7, 7, 0, 7, 7, 7, 7, 0, 0, 0, 0, 7, 7, 7, 0, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 7, 0, 7], [7, 0, 7, 7, 7, 7, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 7, 0, 0, 7], [7, 7, 7, 0, 7, 7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 7], [7, 7, 7, 0, 7, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7, 7, 0, 7, 0], [0, 0, 0, 7, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0], [0, 7, 7, 7, 7, 7, 0, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 5, 5, 5, 0, 5, 5, 5, 5, 0, 0, 0, 0, 0, 5, 0, 0, 5, 0], [5, 0, 0, 5, 0, 0, 5, 5, 5, 5, 0, 0, 0, 5, 0, 0, 5, 5, 0, 5], [5, 0, 0, 5, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 5, 5, 0, 5, 5, 0], [5, 0, 0, 0, 5, 5, 0, 5, 0, 0, 0, 5, 5, 5, 5, 5, 5, 0, 0, 5], [0, 5, 5, 5, 5, 0, 5, 0, 5, 5, 0, 0, 5, 5, 0, 5, 0, 0, 0, 5], [5, 0, 0, 5, 5, 0, 5, 5, 0, 0, 5, 5, 0, 0, 5, 5, 0, 5, 0, 0], [0, 5, 0, 5, 5, 5, 5, 5, 0, 0, 0, 5, 5, 5, 5, 0, 5, 5, 5, 0], [5, 5, 0, 5, 5, 5, 0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 0, 5, 5, 5], [0, 0, 5, 5, 0, 5, 0, 5, 5, 0, 5, 5, 5, 0, 0, 5, 5, 0, 5, 5], [5, 0, 0, 0, 0, 5, 0, 0, 5, 5, 5, 0, 5, 5, 5, 5, 0, 0, 5, 5], [0, 0, 5, 0, 5, 5, 0, 0, 0, 5, 5, 5, 5, 0, 5, 0, 0, 0, 0, 0], [5, 5, 5, 5, 5, 5, 0, 0, 5, 0, 5, 0, 5, 0, 5, 0, 0, 0, 0, 0], [5, 0, 0, 5, 0, 5, 0, 0, 5, 5, 0, 0, 0, 0, 5, 5, 0, 5, 5, 5], [0, 5, 0, 5, 0, 5, 0, 5, 0, 5, 0, 5, 0, 0, 5, 0, 5, 5, 5, 0], [0, 5, 0, 5, 5, 5, 0, 0, 5, 0, 0, 0, 5, 5, 0, 5, 0, 0, 5, 0], [5, 5, 5, 5, 5, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 5], [5, 5, 0, 0, 0, 0, 5, 0, 5, 5, 5, 5, 5, 0, 0, 0, 5, 5, 0, 5], [0, 0, 5, 5, 5, 5, 0, 5, 5, 0, 0, 5, 5, 5, 5, 0, 5, 5, 0, 5], [5, 0, 0, 0, 5, 5, 5, 5, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 5, 0], [0, 5, 0, 5, 0, 0, 5, 0, 0, 0, 0, 5, 0, 5, 0, 5, 5, 0, 5, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> ",
+                "test": {
+                    "input": [
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+            "Replicate 1": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 5, 0, 5, 5, 5, 5, 0, 0, 0, 5, 0, 0, 5, 0, 0, 0, 0, 0], [5, 0, 5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 5, 0, 5, 5, 5, 5], [5, 0, 5, 5, 5, 0, 0, 0, 0, 0, 5, 0, 5, 5, 5, 0, 5, 5, 0, 0], [0, 5, 5, 0, 0, 5, 5, 5, 5, 0, 5, 0, 0, 0, 0, 0, 5, 5, 5, 0], [0, 0, 5, 0, 5, 0, 5, 0, 0, 5, 5, 0, 5, 0, 0, 0, 5, 5, 5, 5], [0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 5, 5, 5], [5, 0, 5, 5, 5, 0, 5, 5, 0, 0, 5, 0, 5, 5, 0, 5, 0, 5, 5, 0], [0, 5, 5, 5, 0, 5, 5, 0, 0, 5, 0, 5, 0, 5, 5, 5, 5, 0, 0, 0], [5, 5, 0, 5, 0, 5, 0, 5, 0, 5, 5, 5, 5, 0, 0, 5, 0, 5, 5, 0], [0, 0, 0, 5, 5, 5, 5, 5, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 5, 0], [0, 0, 5, 5, 0, 5, 5, 5, 5, 0, 0, 5, 5, 5, 0, 5, 5, 0, 0, 5], [5, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 5, 0, 0, 5, 0, 0, 5, 5, 5], [5, 0, 0, 0, 0, 0, 5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 5, 5, 5, 5], [5, 5, 0, 5, 5, 5, 5, 0, 0, 5, 0, 5, 5, 5, 5, 5, 0, 5, 5, 0], [5, 0, 0, 0, 0, 5, 5, 0, 0, 5, 0, 5, 5, 5, 0, 5, 0, 0, 5, 0], [5, 0, 0, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 5, 0, 0], [5, 5, 0, 0, 5, 5, 5, 5, 0, 0, 5, 5, 5, 0, 5, 5, 0, 5, 5, 5], [0, 5, 5, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 5, 0, 5, 0, 0], [0, 0, 5, 5, 5, 5, 5, 5, 0, 5, 5, 0, 0, 0, 5, 5, 5, 5, 0, 0], [0, 5, 5, 0, 5, 0, 5, 0, 5, 0, 0, 5, 5, 0, 5, 5, 5, 0, 5, 5], [0, 6, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 6, 0, 0, 0, 6], [6, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 6, 0, 6, 6, 6, 0, 0, 0, 6], [6, 0, 6, 6, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 0, 6, 0, 0], [0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 0], [6, 0, 6, 0, 6, 0, 6, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 6, 0, 0], [6, 0, 6, 6, 6, 0, 6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 6, 0, 6, 0], [6, 0, 0, 0, 0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 0, 6, 6, 0], [6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 6, 6, 6, 0, 0, 6, 6], [6, 6, 6, 0, 0, 6, 6, 0, 0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6], [6, 6, 0, 6, 6, 0, 6, 0, 0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 6, 6], [0, 6, 6, 0, 0, 0, 0, 6, 0, 6, 0, 6, 0, 0, 6, 6, 6, 6, 0, 0], [6, 0, 6, 0, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 0, 0, 6, 0, 6, 0], [6, 6, 0, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 6], [6, 0, 6, 0, 0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 6], [0, 6, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0], [6, 0, 0, 6, 6, 6, 0, 0, 6, 0, 0, 6, 6, 6, 0, 0, 0, 6, 0, 0], [0, 6, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0, 0, 0, 6, 0, 6, 6, 6, 0], [6, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0], [6, 6, 6, 6, 6, 0, 6, 6, 0, 0, 6, 6, 0, 0, 0, 6, 0, 0, 6, 0], [6, 6, 0, 6, 6, 6, 6, 0, 6, 6, 0, 6, 0, 0, 6, 0, 0, 6, 0, 6]] -> [[0, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 0, 0, 7], [7, 0, 7, 0, 0, 7, 7, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0], [7, 0, 7, 0, 7, 7, 0, 7, 0, 7, 7, 0, 7, 0, 7, 7, 7, 0, 0, 0], [0, 7, 7, 0, 0, 0, 7, 7, 7, 0, 7, 0, 0, 0, 7, 7, 7, 0, 7, 0], [7, 0, 7, 0, 7, 0, 7, 0, 0, 7, 7, 7, 7, 0, 0, 0, 7, 0, 7, 7], [7, 7, 7, 7, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7, 7, 7, 7, 7, 7, 7], [7, 0, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7, 0, 0, 0, 7, 0], [7, 0, 7, 7, 0, 7, 7, 0, 7, 0, 0, 7, 0, 0, 7, 0, 7, 0, 7, 7], [7, 0, 7, 7, 0, 0, 7, 7, 0, 0, 7, 0, 7, 7, 0, 0, 0, 0, 7, 7], [7, 7, 0, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 7, 0, 7, 7, 0, 7, 7], [0, 7, 7, 7, 0, 7, 7, 0, 7, 7, 0, 0, 7, 7, 7, 0, 7, 7, 0, 7], [7, 7, 7, 0, 0, 0, 7, 0, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7], [7, 7, 0, 0, 0, 7, 7, 0, 7, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0], [7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 7, 7, 7, 7, 7, 0, 7, 7], [7, 7, 0, 7, 0, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 7, 0], [7, 0, 0, 0, 7, 0, 7, 0, 7, 0, 0, 7, 7, 7, 7, 7, 7, 0, 0, 0], [7, 0, 0, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 0, 7, 7], [7, 7, 7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 7, 7, 0, 7, 7, 0, 0, 0], [7, 7, 7, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 0, 7, 0, 7, 7, 7, 0], [7, 0, 7, 7, 7, 7, 7, 0, 7, 7, 0, 0, 7, 0, 7, 7, 7, 7, 7, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing the causal function for some elements.\n[[5, 5, 0, 5, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 0, 5, 5, 5, 5, 5], [0, 5, 0, 5, 5, 5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 5, 0, 0, 0, 0], [0, 5, 0, 0, 0, 5, 5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 0, 0, 5, 5], [5, 0, 0, 5, 5, 0, 0, 0, 0, 5, 0, 5, 5, 5, 5, 5, 0, 0, 0, 5], [5, 5, 0, 5, 0, 5, 0, 5, 5, 0, 0, 5, 0, 5, 5, 5, 0, 0, 0, 0], [5, 0, 0, 5, 5, 5, 5, 5, 5, 5, 0, 5, 5, 5, 5, 0, 5, 0, 0, 0], [0, 5, 0, 0, 0, 5, 0, 0, 5, 5, 0, 5, 0, 0, 5, 0, 5, 0, 0, 5], [5, 0, 0, 0, 5, 0, 0, 5, 5, 0, 5, 0, 5, 0, 0, 0, 0, 5, 5, 5], [0, 0, 5, 0, 5, 0, 5, 0, 5, 0, 0, 0, 0, 5, 5, 0, 5, 0, 0, 5], [5, 5, 5, 0, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 0, 5, 5, 0, 5], [5, 5, 0, 0, 5, 0, 0, 0, 0, 5, 5, 0, 0, 0, 5, 0, 0, 5, 5, 0], [0, 0, 5, 5, 5, 0, 0, 5, 0, 5, 0, 0, 5, 5, 0, 5, 5, 0, 0, 0], [0, 5, 5, 5, 5, 5, 0, 5, 0, 0, 0, 0, 0, 5, 0, 5, 0, 0, 0, 0], [0, 0, 5, 0, 0, 0, 0, 5, 5, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 5], [0, 5, 5, 5, 5, 0, 0, 5, 5, 0, 5, 0, 0, 0, 5, 0, 5, 5, 0, 5], [0, 5, 5, 0, 0, 0, 0, 5, 5, 5, 5, 5, 5, 5, 0, 0, 0, 0, 5, 5], [0, 0, 5, 5, 0, 0, 0, 0, 5, 5, 0, 0, 0, 5, 0, 0, 5, 0, 0, 0], [5, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 0, 5, 5], [5, 5, 0, 0, 0, 0, 0, 0, 5, 0, 0, 5, 5, 5, 0, 0, 0, 0, 5, 5], [5, 0, 0, 5, 0, 5, 0, 5, 0, 5, 5, 0, 0, 5, 0, 0, 0, 5, 0, 0], [0, 0, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6, 0, 0], [0, 0, 0, 6, 6, 0, 0, 0, 6, 6, 6, 0, 6, 0, 0, 0, 0, 0, 0, 0], [6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 6, 0, 0, 0, 0, 6, 0, 0, 6, 0], [6, 0, 0, 0, 0, 6, 0, 6, 6, 6, 0, 0, 6, 6, 0, 0, 0, 6, 6, 0], [6, 0, 0, 0, 0, 6, 6, 0, 0, 0, 6, 6, 6, 6, 0, 0, 6, 0, 0, 6], [0, 6, 6, 0, 6, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6], [6, 0, 0, 6, 6, 6, 6, 0, 6, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0], [6, 0, 6, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0, 0, 6, 0], [0, 6, 6, 6, 6, 0, 0, 0, 6, 0, 0, 6, 0, 6, 0, 6, 6, 0, 6, 0], [0, 6, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 6, 6, 6, 0, 0, 6, 6, 6], [6, 6, 6, 0, 6, 0, 6, 0, 0, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 0], [0, 6, 0, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 0, 6, 0, 6, 0], [6, 6, 0, 0, 0, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 6, 6, 0, 6, 6], [6, 6, 0, 6, 6, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 6, 0, 6, 0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 6, 6, 6], [6, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 6, 6, 0, 0, 6, 0, 6, 6], [6, 6, 6, 6, 6, 0, 6, 0, 6, 0, 6, 0, 0, 6, 6, 6, 6, 0, 0, 6], [0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 6, 0, 0, 6, 0, 6, 6, 6, 6, 6], [0, 0, 6, 6, 6, 0, 0, 6, 6, 0, 0, 0, 0, 6, 0, 0, 6, 6, 6, 0], [6, 0, 0, 0, 0, 0, 6, 0, 6, 6, 6, 0, 6, 0, 0, 6, 6, 0, 0, 0]] -> [[7, 7, 0, 7, 7, 0, 0, 7, 7, 7, 7, 0, 7, 7, 0, 0, 7, 0, 7, 7], [0, 7, 0, 0, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 0, 7, 0, 0, 0, 0], [7, 0, 7, 7, 7, 7, 7, 0, 7, 0, 7, 7, 0, 0, 0, 0, 0, 0, 7, 7], [7, 0, 0, 7, 7, 7, 0, 7, 7, 0, 0, 7, 7, 0, 7, 7, 0, 7, 7, 7], [7, 7, 0, 7, 0, 0, 7, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 0, 0, 7], [7, 7, 7, 7, 7, 0, 7, 0, 7, 0, 0, 7, 7, 7, 7, 0, 7, 0, 7, 7], [7, 7, 0, 7, 7, 0, 7, 0, 7, 7, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7], [7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7, 0, 0, 0, 0, 7, 7, 7], [0, 7, 7, 7, 7, 0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 7, 7, 0, 7, 7], [7, 0, 7, 7, 0, 7, 0, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0], [7, 0, 7, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 7, 7, 7, 0, 7, 0], [0, 7, 7, 0, 7, 7, 0, 0, 7, 0, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0], [7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7, 0, 0, 0, 7, 0, 7, 7], [7, 7, 7, 7, 7, 0, 0, 7, 7, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7], [7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 0, 0, 7, 0, 7, 0, 7, 0], [7, 7, 7, 0, 0, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 0, 7, 0, 7, 0], [7, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 0, 0, 0, 7, 7, 7, 0, 0, 7], [7, 7, 7, 7, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 7, 7, 7, 7, 7, 0], [7, 7, 7, 7, 7, 0, 0, 7, 7, 0, 0, 7, 7, 0, 0, 0, 7, 7, 7, 7], [7, 0, 0, 7, 0, 7, 7, 7, 7, 0, 7, 0, 7, 7, 0, 7, 7, 7, 0, 0]]\nExample input-output arrays:\n[[5, 0, 5, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 5, 5, 0, 0, 5, 0, 5], [0, 0, 5, 0, 5, 5, 5, 5, 5, 5, 5, 0, 5, 0, 5, 0, 0, 5, 5, 0], [0, 5, 5, 5, 5, 0, 5, 0, 0, 0, 0, 5, 5, 0, 5, 5, 0, 5, 5, 0], [0, 0, 5, 5, 5, 0, 0, 5, 5, 0, 0, 0, 5, 0, 0, 0, 5, 5, 5, 0], [0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 5, 5, 0, 0, 0, 5], [0, 5, 5, 5, 5, 0, 5, 5, 5, 0, 5, 0, 5, 5, 5, 5, 5, 5, 0, 5], [0, 5, 5, 0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 5, 5, 0, 0, 5, 0, 0], [5, 5, 5, 5, 0, 5, 0, 0, 5, 5, 0, 0, 0, 5, 0, 5, 0, 0, 5, 5], [5, 0, 5, 5, 5, 0, 5, 0, 0, 0, 0, 5, 5, 5, 5, 0, 5, 0, 5, 5], [0, 0, 5, 5, 5, 0, 0, 5, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 5], [0, 0, 5, 5, 0, 0, 0, 0, 0, 5, 5, 0, 5, 0, 5, 0, 0, 5, 0, 0], [5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 5, 0, 0, 5], [5, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 5, 0, 0, 5, 5, 0, 0, 5], [5, 5, 5, 0, 5, 5, 5, 0, 5, 0, 5, 0, 0, 0, 5, 5, 0, 5, 5, 0], [0, 0, 5, 0, 0, 0, 5, 5, 0, 5, 0, 0, 5, 5, 5, 5, 5, 0, 0, 0], [0, 5, 0, 0, 5, 5, 0, 0, 5, 0, 5, 0, 5, 5, 0, 0, 0, 0, 5, 5], [5, 0, 5, 5, 5, 0, 5, 5, 0, 5, 0, 5, 5, 0, 0, 5, 5, 0, 0, 5], [5, 0, 0, 0, 5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 0, 5, 5, 0, 5, 0], [0, 0, 0, 5, 0, 5, 5, 5, 0, 0, 5, 5, 0, 5, 5, 5, 0, 5, 5, 5], [0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 5, 5, 0, 5, 0, 0, 5, 5, 5, 0], [6, 0, 6, 0, 0, 6, 6, 6, 6, 0, 0, 6, 6, 0, 0, 6, 6, 6, 0, 6], [0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 6, 0, 0, 0], [6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 6, 0, 0, 0, 6, 0, 6, 0], [0, 6, 0, 6, 0, 6, 0, 0, 6, 6, 0, 6, 6, 6, 0, 6, 6, 6, 6, 6], [6, 6, 6, 0, 0, 6, 0, 6, 0, 6, 0, 0, 0, 6, 0, 6, 0, 6, 0, 0], [0, 6, 6, 6, 6, 0, 0, 6, 0, 0, 6, 6, 0, 6, 6, 6, 6, 0, 6, 0], [0, 6, 6, 0, 6, 0, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0, 6, 6, 0, 6], [0, 0, 6, 6, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 6, 0, 6, 0, 6], [6, 6, 6, 6, 6, 0, 6, 0, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 6, 0], [0, 0, 0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0], [0, 0, 6, 6, 6, 0, 6, 6, 6, 6, 0, 6, 0, 6, 6, 0, 6, 0, 6, 6], [6, 0, 0, 0, 6, 6, 6, 0, 6, 6, 0, 0, 6, 0, 6, 0, 0, 0, 6, 0], [6, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 6, 0, 0], [0, 0, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 0, 0, 6, 6], [0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 0], [6, 0, 0, 6, 0, 0, 0, 6, 0, 6, 6, 6, 0, 0, 6, 0, 0, 0, 0, 0], [0, 0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 0, 0, 6, 6, 0, 6, 0], [6, 0, 0, 6, 6, 6, 0, 6, 0, 0, 6, 6, 6, 0, 0, 6, 6, 6, 0, 6], [6, 0, 6, 0, 0, 6, 6, 0, 6, 6, 0, 6, 0, 0, 0, 6, 6, 0, 0, 6], [0, 6, 6, 0, 6, 0, 6, 0, 0, 0, 6, 0, 6, 0, 6, 6, 6, 6, 0, 0]] -> [[7, 0, 7, 7, 0, 7, 7, 0, 7, 0, 7, 7, 7, 7, 7, 7, 7, 0, 0, 0], [0, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 7, 0], [7, 0, 7, 0, 7, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7, 0], [0, 7, 7, 0, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 0, 7, 7, 0, 7, 7], [7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 0, 0, 7, 0, 7], [0, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 7, 7], [0, 0, 7, 0, 7, 0, 7, 7, 7, 0, 0, 0, 7, 7, 7, 0, 7, 0, 0, 7], [7, 7, 7, 0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 7, 7, 0], [7, 7, 7, 0, 7, 0, 7, 0, 0, 0, 7, 7, 7, 0, 7, 0, 7, 0, 7, 7], [0, 0, 7, 0, 7, 7, 0, 7, 0, 7, 7, 7, 7, 0, 0, 7, 0, 0, 0, 7], [0, 0, 7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7], [7, 7, 7, 7, 7, 0, 7, 0, 7, 0, 0, 0, 7, 0, 7, 0, 7, 0, 7, 7], [7, 0, 7, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 0, 7, 7, 7], [0, 0, 7, 0, 0, 7, 7, 7, 7, 7, 0, 0, 7, 7, 7, 7, 7, 7, 0, 0], [7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 0, 0, 7, 7], [7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 0, 7, 0, 7, 7], [7, 0, 0, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 0, 0, 7, 7, 7, 7], [7, 0, 7, 7, 0, 0, 7, 7, 7, 7, 7, 0, 0, 7, 7, 0, 7, 7, 7, 0], [0, 7, 7, 7, 7, 7, 7, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1], [0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0], [0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0], [0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0], [0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1], [0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1], [0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0], [1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1], [1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1], [0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1], [0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0], [1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1], [1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1], [1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0], [0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0], [0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1], [1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1], [1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0], [0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1], [0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0], [6, 0, 6, 0, 0, 6, 6, 6, 6, 0, 0, 6, 6, 0, 0, 6, 6, 6, 0, 6], [0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 6, 0, 0, 0], [6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 6, 0, 0, 0, 6, 0, 6, 0], [0, 6, 0, 6, 0, 6, 0, 0, 6, 6, 0, 6, 6, 6, 0, 6, 6, 6, 6, 6], [6, 6, 6, 0, 0, 6, 0, 6, 0, 6, 0, 0, 0, 6, 0, 6, 0, 6, 0, 0], [0, 6, 6, 6, 6, 0, 0, 6, 0, 0, 6, 6, 0, 6, 6, 6, 6, 0, 6, 0], [0, 6, 6, 0, 6, 0, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0, 6, 6, 0, 6], [0, 0, 6, 6, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 6, 0, 6, 0, 6], [6, 6, 6, 6, 6, 0, 6, 0, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 6, 0], [0, 0, 0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0], [0, 0, 6, 6, 6, 0, 6, 6, 6, 6, 0, 6, 0, 6, 6, 0, 6, 0, 6, 6], [6, 0, 0, 0, 6, 6, 6, 0, 6, 6, 0, 0, 6, 0, 6, 0, 0, 0, 6, 0], [6, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 6, 0, 0], [0, 0, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 0, 0, 6, 6], [0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 0], [6, 0, 0, 6, 0, 0, 0, 6, 0, 6, 6, 6, 0, 0, 6, 0, 0, 0, 0, 0], [0, 0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 0, 0, 6, 6, 0, 6, 0], [6, 0, 0, 6, 6, 6, 0, 6, 0, 0, 6, 6, 6, 0, 0, 6, 6, 6, 0, 6], [6, 0, 6, 0, 0, 6, 6, 0, 6, 6, 0, 6, 0, 0, 0, 6, 6, 0, 0, 6], [0, 6, 6, 0, 6, 0, 6, 0, 0, 0, 6, 0, 6, 0, 6, 6, 6, 6, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
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+                        [
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+                        [
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+                }
+            },
+            "Replicate 2": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 5, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 5, 5, 0, 0, 5, 0, 0, 0], [0, 0, 5, 0, 5, 5, 5, 0, 5, 5, 0, 5, 0, 5, 5, 5, 0, 0, 0, 5], [0, 0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 5, 5, 0, 0], [0, 5, 5, 5, 5, 0, 0, 0, 0, 5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 0], [0, 5, 5, 5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 0, 5, 5, 5, 5, 5, 5], [0, 5, 0, 0, 5, 5, 0, 5, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 5], [5, 5, 0, 0, 5, 5, 0, 0, 0, 5, 5, 5, 5, 5, 5, 5, 0, 0, 0, 5], [5, 0, 5, 0, 0, 5, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0], [5, 5, 0, 5, 5, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 5], [0, 0, 0, 0, 0, 5, 0, 0, 5, 0, 5, 0, 0, 5, 0, 5, 5, 5, 5, 0], [0, 0, 0, 5, 0, 5, 5, 0, 0, 5, 5, 0, 0, 5, 0, 5, 0, 5, 0, 5], [5, 0, 5, 0, 5, 0, 0, 5, 0, 5, 5, 0, 5, 5, 5, 5, 5, 5, 5, 0], [5, 0, 5, 5, 0, 5, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 5, 0, 0, 0], [0, 5, 5, 0, 0, 5, 5, 0, 0, 5, 5, 0, 5, 0, 0, 5, 5, 5, 5, 5], [5, 0, 5, 0, 5, 5, 0, 5, 0, 5, 0, 5, 5, 5, 0, 0, 0, 0, 5, 0], [0, 5, 5, 0, 5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 5, 0, 0, 5, 5], [0, 5, 5, 0, 0, 0, 5, 0, 0, 5, 0, 0, 5, 5, 0, 0, 0, 0, 0, 5], [5, 5, 0, 0, 0, 5, 5, 0, 5, 5, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0], [0, 5, 0, 0, 5, 5, 0, 5, 0, 0, 5, 5, 0, 5, 5, 0, 5, 0, 0, 5], [0, 6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 6, 0], [0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 6, 6, 0, 6, 6, 0, 0], [0, 6, 0, 6, 6, 0, 0, 6, 0, 6, 6, 6, 6, 0, 0, 0, 6, 6, 0, 0], [6, 0, 6, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6, 6, 6, 0, 0, 0, 6, 0], [0, 0, 6, 6, 6, 0, 0, 6, 6, 6, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6], [0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6, 0, 0, 6, 0, 6, 0, 6, 6, 6], [0, 0, 6, 0, 6, 6, 0, 0, 0, 6, 6, 6, 0, 0, 0, 6, 6, 6, 6, 6], [0, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 6, 0, 0], [6, 0, 0, 0, 6, 6, 6, 0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 0, 6], [6, 6, 6, 0, 0, 6, 0, 6, 0, 6, 0, 0, 0, 6, 0, 0, 0, 0, 6, 6], [6, 6, 0, 6, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [0, 6, 0, 0, 6, 0, 0, 6, 6, 6, 0, 0, 6, 6, 0, 6, 0, 6, 0, 0], [6, 6, 0, 6, 0, 0, 6, 0, 6, 6, 6, 6, 6, 0, 0, 0, 6, 6, 0, 0], [6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 0, 6, 0, 6, 6, 6, 0, 6, 0, 0], [0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 6, 0, 6, 0, 0, 6, 0, 6, 6, 0], [6, 6, 6, 0, 0, 0, 0, 6, 0, 0, 6, 6, 0, 6, 0, 0, 0, 6, 6, 0], [6, 6, 0, 6, 6, 0, 0, 6, 0, 6, 6, 6, 0, 0, 6, 6, 0, 0, 0, 6], [0, 6, 0, 0, 0, 0, 6, 0, 6, 6, 6, 6, 6, 0, 6, 0, 6, 6, 0, 0], [0, 6, 0, 0, 0, 0, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6, 0, 6, 0], [6, 6, 6, 6, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6]] -> [[0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 0], [0, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7, 0, 0, 7, 7, 7, 7, 0, 7], [0, 7, 0, 7, 7, 7, 0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0], [7, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 0, 0, 7, 0], [0, 7, 7, 0, 7, 7, 7, 0, 7, 0, 0, 0, 7, 7, 7, 7, 7, 0, 7, 0], [0, 0, 7, 7, 7, 0, 7, 7, 0, 0, 7, 0, 0, 7, 7, 0, 7, 7, 7, 0], [7, 7, 7, 0, 7, 0, 0, 0, 0, 0, 7, 0, 7, 7, 7, 0, 7, 7, 7, 0], [7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 0, 7, 0, 0, 0, 0, 0], [7, 7, 0, 7, 7, 7, 7, 0, 0, 7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 0], [7, 7, 7, 0, 0, 0, 0, 7, 7, 7, 7, 0, 0, 0, 0, 7, 7, 7, 7, 7], [7, 7, 0, 0, 7, 0, 7, 7, 0, 0, 7, 7, 7, 0, 7, 0, 7, 0, 7, 0], [7, 7, 7, 0, 7, 0, 0, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0], [7, 7, 7, 0, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 0], [7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 7, 7, 7, 7, 7, 0, 7, 0, 7, 7], [7, 0, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 0, 7, 0, 7, 7, 0], [7, 0, 7, 0, 7, 0, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 0, 7, 7, 0], [7, 7, 0, 0, 7, 0, 0, 0, 0, 7, 7, 7, 7, 0, 7, 0, 0, 0, 7, 0], [0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7, 0, 7, 7, 0, 7], [7, 0, 0, 0, 0, 7, 7, 7, 7, 0, 0, 7, 7, 0, 0, 0, 7, 0, 7, 0], [7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 9, 0, 0, 0, 0, 9, 9, 9, 0, 0, 0, 9, 9, 0, 0, 9, 0, 0, 0], [0, 0, 9, 0, 9, 9, 9, 0, 9, 9, 0, 9, 0, 9, 9, 9, 0, 0, 0, 9], [0, 0, 0, 0, 9, 9, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0, 9, 9, 0, 0], [0, 9, 9, 9, 9, 0, 0, 0, 0, 9, 9, 9, 9, 0, 9, 0, 0, 0, 9, 0], [0, 9, 9, 9, 0, 9, 9, 9, 9, 9, 0, 9, 0, 0, 9, 9, 9, 9, 9, 9], [0, 9, 0, 0, 9, 9, 0, 9, 0, 0, 0, 0, 0, 0, 9, 9, 9, 0, 0, 9], [9, 9, 0, 0, 9, 9, 0, 0, 0, 9, 9, 9, 9, 9, 9, 9, 0, 0, 0, 9], [9, 0, 9, 0, 0, 9, 9, 9, 9, 9, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0], [9, 9, 0, 9, 9, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 9], [0, 0, 0, 0, 0, 9, 0, 0, 9, 0, 9, 0, 0, 9, 0, 9, 9, 9, 9, 0], [0, 0, 0, 9, 0, 9, 9, 0, 0, 9, 9, 0, 0, 9, 0, 9, 0, 9, 0, 9], [9, 0, 9, 0, 9, 0, 0, 9, 0, 9, 9, 0, 9, 9, 9, 9, 9, 9, 9, 0], [9, 0, 9, 9, 0, 9, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 9, 0, 0, 0], [0, 9, 9, 0, 0, 9, 9, 0, 0, 9, 9, 0, 9, 0, 0, 9, 9, 9, 9, 9], [9, 0, 9, 0, 9, 9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 0, 0, 0, 9, 0], [0, 9, 9, 0, 9, 0, 0, 0, 9, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0], [0, 0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 0, 9, 0, 0, 9, 0, 0, 9, 9], [0, 9, 9, 0, 0, 0, 9, 0, 0, 9, 0, 0, 9, 9, 0, 0, 0, 0, 0, 9], [9, 9, 0, 0, 0, 9, 9, 0, 9, 9, 0, 0, 9, 0, 0, 0, 9, 0, 0, 0], [0, 9, 0, 0, 9, 9, 0, 9, 0, 0, 9, 9, 0, 9, 9, 0, 9, 0, 0, 9], [0, 6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 6, 0], [0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 6, 6, 0, 6, 6, 0, 0], [0, 6, 0, 6, 6, 0, 0, 6, 0, 6, 6, 6, 6, 0, 0, 0, 6, 6, 0, 0], [6, 0, 6, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6, 6, 6, 0, 0, 0, 6, 0], [0, 0, 6, 6, 6, 0, 0, 6, 6, 6, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6], [0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6, 0, 0, 6, 0, 6, 0, 6, 6, 6], [0, 0, 6, 0, 6, 6, 0, 0, 0, 6, 6, 6, 0, 0, 0, 6, 6, 6, 6, 6], [0, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 6, 0, 0], [6, 0, 0, 0, 6, 6, 6, 0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 0, 6], [6, 6, 6, 0, 0, 6, 0, 6, 0, 6, 0, 0, 0, 6, 0, 0, 0, 0, 6, 6], [6, 6, 0, 6, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [0, 6, 0, 0, 6, 0, 0, 6, 6, 6, 0, 0, 6, 6, 0, 6, 0, 6, 0, 0], [6, 6, 0, 6, 0, 0, 6, 0, 6, 6, 6, 6, 6, 0, 0, 0, 6, 6, 0, 0], [6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 0, 6, 0, 6, 6, 6, 0, 6, 0, 0], [0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 6, 0, 6, 0, 0, 6, 0, 6, 6, 0], [6, 6, 6, 0, 0, 0, 0, 6, 0, 0, 6, 6, 0, 6, 0, 0, 0, 6, 6, 0], [6, 6, 0, 6, 6, 0, 0, 6, 0, 6, 6, 6, 0, 0, 6, 6, 0, 0, 0, 6], [0, 6, 0, 0, 0, 0, 6, 0, 6, 6, 6, 6, 6, 0, 6, 0, 6, 6, 0, 0], [0, 6, 0, 0, 0, 0, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6, 0, 6, 0], [6, 6, 6, 6, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6]] -> [[0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 0], [0, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7, 0, 0, 7, 7, 7, 7, 0, 7], [0, 7, 0, 7, 7, 7, 0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0], [7, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 0, 0, 7, 0], [0, 7, 7, 0, 7, 7, 7, 0, 7, 0, 0, 0, 7, 7, 7, 7, 7, 0, 7, 0], [0, 0, 7, 7, 7, 0, 7, 7, 0, 0, 7, 0, 0, 7, 7, 0, 7, 7, 7, 0], [7, 7, 7, 0, 7, 0, 0, 0, 0, 0, 7, 0, 7, 7, 7, 0, 7, 7, 7, 0], [7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 0, 7, 0, 0, 0, 0, 0], [7, 7, 0, 7, 7, 7, 7, 0, 0, 7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 0], [7, 7, 7, 0, 0, 0, 0, 7, 7, 7, 7, 0, 0, 0, 0, 7, 7, 7, 7, 7], [7, 7, 0, 0, 7, 0, 7, 7, 0, 0, 7, 7, 7, 0, 7, 0, 7, 0, 7, 0], [7, 7, 7, 0, 7, 0, 0, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0], [7, 7, 7, 0, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 0], [7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 7, 7, 7, 7, 7, 0, 7, 0, 7, 7], [7, 0, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 0, 7, 0, 7, 7, 0], [7, 0, 7, 0, 7, 0, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 0, 7, 7, 0], [7, 7, 0, 0, 7, 0, 0, 0, 0, 7, 7, 7, 7, 0, 7, 0, 0, 0, 7, 0], [0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7, 0, 7, 7, 0, 7], [7, 0, 0, 0, 0, 7, 7, 7, 7, 0, 0, 7, 7, 0, 0, 0, 7, 0, 7, 0], [7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0]]\nExample input-output arrays:\n[[5, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 5, 0, 0, 5, 0, 0, 0, 5], [0, 0, 0, 5, 5, 5, 0, 5, 5, 0, 0, 5, 5, 5, 0, 5, 5, 5, 5, 5], [5, 5, 0, 0, 0, 0, 5, 0, 0, 5, 5, 0, 5, 5, 5, 0, 0, 5, 5, 0], [5, 5, 5, 0, 5, 5, 5, 5, 5, 5, 5, 5, 0, 5, 0, 0, 0, 0, 5, 5], [0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 5, 0, 5, 0, 5, 5, 5, 0, 5, 0], [5, 5, 0, 5, 0, 0, 5, 0, 5, 5, 5, 0, 0, 5, 5, 5, 0, 5, 5, 5], [5, 0, 0, 0, 0, 5, 5, 5, 5, 0, 5, 5, 0, 5, 0, 5, 0, 5, 0, 0], [5, 5, 5, 0, 5, 5, 5, 0, 0, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0, 5], [0, 5, 0, 0, 0, 5, 5, 0, 0, 5, 5, 0, 5, 5, 5, 5, 5, 0, 0, 0], [5, 5, 5, 5, 0, 5, 5, 5, 0, 5, 5, 5, 0, 0, 0, 0, 5, 0, 0, 5], [0, 5, 0, 0, 5, 0, 0, 0, 0, 5, 5, 0, 5, 5, 5, 0, 5, 0, 0, 0], [5, 0, 0, 5, 0, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 5, 5, 5, 5, 5], [5, 0, 5, 5, 0, 0, 0, 0, 0, 5, 0, 5, 5, 0, 5, 5, 5, 5, 0, 0], [0, 5, 0, 5, 0, 0, 0, 5, 5, 5, 5, 5, 0, 5, 0, 0, 5, 5, 5, 5], [5, 0, 5, 5, 0, 5, 0, 0, 0, 5, 0, 5, 5, 5, 0, 5, 0, 5, 0, 5], [0, 5, 5, 5, 0, 5, 5, 0, 5, 0, 5, 5, 0, 0, 0, 5, 0, 5, 0, 0], [5, 0, 5, 5, 0, 0, 5, 0, 5, 0, 0, 0, 5, 5, 0, 5, 5, 5, 5, 0], [5, 5, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 0, 5], [5, 5, 0, 0, 0, 0, 5, 5, 0, 0, 5, 5, 5, 0, 0, 0, 5, 5, 5, 5], [5, 0, 0, 0, 0, 5, 5, 5, 5, 0, 0, 5, 5, 5, 5, 5, 5, 0, 5, 5], [6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 6, 0, 6, 0, 0, 0, 0, 0, 6, 0], [0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 6, 0, 0, 0, 6, 6, 6, 6, 6, 0], [6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 6, 0, 6, 6, 6, 6, 0, 6, 0, 6], [0, 0, 0, 0, 0, 6, 0, 6, 0, 6, 6, 0, 6, 0, 0, 6, 6, 0, 0, 0], [0, 6, 6, 0, 6, 0, 6, 0, 6, 0, 6, 6, 6, 0, 0, 0, 6, 6, 6, 0], [6, 6, 6, 6, 0, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 0, 6, 6, 0, 6], [0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0], [0, 6, 6, 0, 0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 6, 0, 0, 6, 0, 6], [6, 6, 6, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 6, 6, 6, 6, 0, 0, 6], [6, 0, 6, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0, 0, 6, 6, 0], [6, 6, 6, 0, 6, 0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 6], [6, 6, 0, 6, 0, 6, 0, 6, 6, 0, 6, 0, 0, 0, 0, 6, 6, 6, 0, 6], [6, 6, 6, 6, 6, 6, 0, 0, 0, 6, 0, 0, 6, 0, 6, 6, 0, 0, 0, 0], [6, 6, 6, 6, 0, 6, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 0], [6, 6, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6], [0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 6, 6, 6, 6, 0, 6, 6], [0, 6, 0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 0, 6, 6, 6, 6], [6, 6, 6, 6, 6, 0, 6, 0, 0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 6, 6], [6, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 6, 0, 0, 6, 0, 6], [6, 6, 0, 6, 6, 0, 0, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0]] -> [[7, 7, 7, 7, 0, 0, 0, 0, 7, 0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 7], [0, 0, 0, 0, 7, 7, 0, 0, 7, 0, 7, 7, 7, 7, 7, 0, 7, 0, 7, 7], [7, 7, 7, 7, 7, 0, 7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 0, 7, 7], [7, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7], [0, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0], [7, 0, 7, 0, 0, 0, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7, 0], [7, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 0, 7, 0], [7, 0, 7, 0, 7, 7, 7, 7, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 0], [7, 0, 7, 0, 7, 7, 7, 7, 0, 0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 7], [7, 7, 7, 7, 0, 7, 7, 7, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 7, 7], [7, 0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 7], [7, 7, 0, 0, 0, 7, 7, 7, 7, 0, 7, 7, 0, 7, 0, 0, 7, 0, 7, 0], [7, 7, 7, 0, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7, 7, 0, 0], [7, 0, 7, 0, 0, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 7, 7], [7, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7, 0], [0, 0, 7, 7, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 7, 0, 7, 7, 7, 7], [7, 7, 7, 7, 0, 0, 7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 7, 0, 7, 7], [7, 0, 7, 0, 7, 0, 7, 0, 0, 7, 7, 0, 0, 7, 7, 7, 7, 7, 7, 0], [7, 0, 7, 7, 0, 0, 7, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0], [7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 6, 6, 6, 6, 0, 0, 6, 0], [0, 6, 0, 0, 6, 0, 0, 0, 6, 0, 0, 0, 6, 0, 6, 0, 6, 0, 6, 6], [0, 0, 6, 0, 6, 6, 6, 0, 0, 6, 6, 6, 0, 6, 0, 6, 0, 6, 0, 6], [6, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 6, 0, 0, 6, 6, 0, 6], [6, 6, 0, 6, 6, 6, 6, 6, 0, 6, 0, 0, 0, 0, 0, 6, 6, 6, 0, 6], [0, 6, 6, 0, 6, 0, 0, 0, 0, 6, 6, 0, 6, 6, 0, 6, 6, 6, 6, 6], [0, 6, 6, 6, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0, 6, 6, 0, 6, 0, 6], [6, 6, 6, 6, 0, 6, 0, 6, 6, 6, 6, 0, 0, 6, 6, 0, 6, 0, 0, 6], [0, 0, 0, 0, 6, 0, 6, 6, 0, 6, 0, 0, 6, 6, 6, 0, 0, 0, 6, 6], [6, 0, 6, 0, 0, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 6, 6, 0, 6, 0], [0, 0, 0, 6, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 0, 6, 0, 0], [6, 0, 0, 0, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0], [6, 0, 0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 0, 0, 6, 6, 6, 0], [0, 6, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 0, 6, 6, 0, 0, 6], [0, 0, 0, 6, 6, 0, 0, 0, 6, 6, 6, 6, 0, 0, 6, 6, 0, 6, 0, 6], [0, 0, 6, 0, 0, 6, 0, 6, 0, 6, 0, 0, 6, 0, 6, 6, 0, 6, 6, 0], [0, 6, 6, 6, 0, 6, 6, 0, 6, 0, 0, 6, 6, 6, 6, 0, 0, 0, 6, 6], [0, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 6, 6], [0, 6, 0, 0, 0, 6, 6, 6, 0, 6, 0, 0, 6, 6, 6, 6, 0, 0, 0, 0], [6, 6, 0, 0, 0, 0, 6, 6, 6, 0, 0, 6, 6, 6, 0, 0, 0, 0, 6, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
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+            "Replicate 3": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 5, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 5, 5, 0, 0, 5, 0, 0, 0], [0, 0, 5, 0, 5, 5, 5, 0, 5, 5, 0, 5, 0, 5, 5, 5, 0, 0, 0, 5], [0, 0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 5, 5, 0, 0], [0, 5, 5, 5, 5, 0, 0, 0, 0, 5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 0], [0, 5, 5, 5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 0, 5, 5, 5, 5, 5, 5], [0, 5, 0, 0, 5, 5, 0, 5, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 5], [5, 5, 0, 0, 5, 5, 0, 0, 0, 5, 5, 5, 5, 5, 5, 5, 0, 0, 0, 5], [5, 0, 5, 0, 0, 5, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0], [5, 5, 0, 5, 5, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 5], [0, 0, 0, 0, 0, 5, 0, 0, 5, 0, 5, 0, 0, 5, 0, 5, 5, 5, 5, 0], [0, 0, 0, 5, 0, 5, 5, 0, 0, 5, 5, 0, 0, 5, 0, 5, 0, 5, 0, 5], [5, 0, 5, 0, 5, 0, 0, 5, 0, 5, 5, 0, 5, 5, 5, 5, 5, 5, 5, 0], [5, 0, 5, 5, 0, 5, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 5, 0, 0, 0], [0, 5, 5, 0, 0, 5, 5, 0, 0, 5, 5, 0, 5, 0, 0, 5, 5, 5, 5, 5], [5, 0, 5, 0, 5, 5, 0, 5, 0, 5, 0, 5, 5, 5, 0, 0, 0, 0, 5, 0], [0, 5, 5, 0, 5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 5, 0, 0, 5, 5], [0, 5, 5, 0, 0, 0, 5, 0, 0, 5, 0, 0, 5, 5, 0, 0, 0, 0, 0, 5], [5, 5, 0, 0, 0, 5, 5, 0, 5, 5, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0], [0, 5, 0, 0, 5, 5, 0, 5, 0, 0, 5, 5, 0, 5, 5, 0, 5, 0, 0, 5], [0, 6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 6, 0], [0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 6, 6, 0, 6, 6, 0, 0], [0, 6, 0, 6, 6, 0, 0, 6, 0, 6, 6, 6, 6, 0, 0, 0, 6, 6, 0, 0], [6, 0, 6, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6, 6, 6, 0, 0, 0, 6, 0], [0, 0, 6, 6, 6, 0, 0, 6, 6, 6, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6], [0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6, 0, 0, 6, 0, 6, 0, 6, 6, 6], [0, 0, 6, 0, 6, 6, 0, 0, 0, 6, 6, 6, 0, 0, 0, 6, 6, 6, 6, 6], [0, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 6, 0, 0], [6, 0, 0, 0, 6, 6, 6, 0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 0, 6], [6, 6, 6, 0, 0, 6, 0, 6, 0, 6, 0, 0, 0, 6, 0, 0, 0, 0, 6, 6], [6, 6, 0, 6, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [0, 6, 0, 0, 6, 0, 0, 6, 6, 6, 0, 0, 6, 6, 0, 6, 0, 6, 0, 0], [6, 6, 0, 6, 0, 0, 6, 0, 6, 6, 6, 6, 6, 0, 0, 0, 6, 6, 0, 0], [6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 0, 6, 0, 6, 6, 6, 0, 6, 0, 0], [0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 6, 0, 6, 0, 0, 6, 0, 6, 6, 0], [6, 6, 6, 0, 0, 0, 0, 6, 0, 0, 6, 6, 0, 6, 0, 0, 0, 6, 6, 0], [6, 6, 0, 6, 6, 0, 0, 6, 0, 6, 6, 6, 0, 0, 6, 6, 0, 0, 0, 6], [0, 6, 0, 0, 0, 0, 6, 0, 6, 6, 6, 6, 6, 0, 6, 0, 6, 6, 0, 0], [0, 6, 0, 0, 0, 0, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6, 0, 6, 0], [6, 6, 6, 6, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6]] -> [[0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 0], [0, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7, 0, 0, 7, 7, 7, 7, 0, 7], [0, 7, 0, 7, 7, 7, 0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0], [7, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 0, 0, 7, 0], [0, 7, 7, 0, 7, 7, 7, 0, 7, 0, 0, 0, 7, 7, 7, 7, 7, 0, 7, 0], [0, 0, 7, 7, 7, 0, 7, 7, 0, 0, 7, 0, 0, 7, 7, 0, 7, 7, 7, 0], [7, 7, 7, 0, 7, 0, 0, 0, 0, 0, 7, 0, 7, 7, 7, 0, 7, 7, 7, 0], [7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 0, 7, 0, 0, 0, 0, 0], [7, 7, 0, 7, 7, 7, 7, 0, 0, 7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 0], [7, 7, 7, 0, 0, 0, 0, 7, 7, 7, 7, 0, 0, 0, 0, 7, 7, 7, 7, 7], [7, 7, 0, 0, 7, 0, 7, 7, 0, 0, 7, 7, 7, 0, 7, 0, 7, 0, 7, 0], [7, 7, 7, 0, 7, 0, 0, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0], [7, 7, 7, 0, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 0], [7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 7, 7, 7, 7, 7, 0, 7, 0, 7, 7], [7, 0, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 0, 7, 0, 7, 7, 0], [7, 0, 7, 0, 7, 0, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 0, 7, 7, 0], [7, 7, 0, 0, 7, 0, 0, 0, 0, 7, 7, 7, 7, 0, 7, 0, 0, 0, 7, 0], [0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7, 0, 7, 7, 0, 7], [7, 0, 0, 0, 0, 7, 7, 7, 7, 0, 0, 7, 7, 0, 0, 0, 7, 0, 7, 0], [7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing the causal function for some elements.\n[[5, 0, 5, 5, 5, 5, 0, 0, 0, 5, 5, 5, 0, 0, 5, 5, 0, 5, 5, 5], [5, 5, 0, 5, 0, 0, 0, 5, 0, 0, 5, 0, 5, 0, 0, 0, 5, 5, 5, 0], [5, 5, 5, 5, 0, 0, 5, 5, 5, 0, 0, 0, 5, 5, 5, 5, 0, 0, 5, 5], [5, 0, 0, 0, 0, 5, 5, 5, 5, 0, 0, 0, 0, 5, 0, 5, 5, 5, 0, 5], [5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 5, 5, 0, 0, 0, 0, 0, 0], [5, 0, 5, 5, 0, 0, 5, 0, 5, 5, 5, 5, 5, 5, 0, 0, 0, 5, 5, 0], [0, 0, 5, 5, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0], [0, 5, 0, 5, 5, 0, 0, 0, 0, 0, 5, 5, 5, 5, 5, 5, 5, 0, 5, 5], [0, 0, 5, 0, 0, 5, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0, 0, 0], [5, 5, 5, 5, 5, 0, 5, 5, 0, 5, 0, 5, 5, 0, 5, 0, 0, 0, 0, 5], [5, 5, 5, 0, 5, 0, 0, 5, 5, 0, 0, 5, 5, 0, 5, 0, 5, 0, 5, 0], [0, 5, 0, 5, 0, 5, 5, 0, 5, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 5], [0, 5, 0, 0, 5, 0, 5, 5, 5, 5, 5, 5, 5, 0, 0, 0, 0, 5, 5, 5], [5, 0, 0, 5, 5, 0, 0, 5, 5, 0, 0, 5, 0, 5, 5, 0, 0, 0, 0, 0], [0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 5, 0, 0, 0, 5, 5, 5, 5, 0, 5], [5, 0, 0, 5, 0, 5, 5, 5, 0, 5, 5, 5, 5, 5, 0, 5, 5, 5, 5, 5], [5, 5, 5, 0, 5, 5, 5, 0, 5, 5, 5, 5, 0, 5, 5, 0, 5, 5, 0, 0], [5, 0, 0, 5, 5, 5, 0, 5, 5, 0, 5, 5, 0, 0, 5, 5, 5, 5, 5, 0], [0, 0, 5, 5, 5, 0, 0, 5, 0, 0, 5, 5, 0, 5, 5, 5, 0, 5, 5, 5], [5, 0, 5, 5, 0, 0, 5, 0, 5, 5, 0, 0, 5, 0, 0, 5, 0, 5, 5, 0], [6, 6, 6, 6, 0, 0, 0, 6, 0, 6, 0, 6, 6, 0, 0, 0, 6, 0, 0, 6], [0, 0, 0, 0, 6, 0, 6, 0, 6, 0, 6, 6, 6, 0, 6, 6, 0, 6, 0, 0], [6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 0, 6], [6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0], [0, 0, 6, 0, 0, 6, 6, 0, 0, 6, 0, 0, 0, 6, 6, 6, 0, 0, 6, 0], [0, 0, 6, 0, 0, 6, 6, 0, 6, 0, 0, 6, 0, 0, 6, 0, 6, 0, 6, 0], [6, 0, 0, 6, 0, 6, 0, 0, 6, 0, 6, 0, 6, 0, 6, 6, 0, 6, 6, 6], [6, 6, 6, 6, 6, 0, 6, 0, 0, 6, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0], [6, 0, 0, 6, 6, 6, 0, 6, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 0], [6, 0, 0, 6, 0, 0, 0, 6, 0, 0, 0, 0, 0, 6, 6, 0, 6, 0, 0, 0], [0, 6, 6, 6, 0, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 0, 6, 6, 0, 6], [6, 6, 0, 6, 0, 0, 0, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 0, 0, 0], [0, 0, 0, 6, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 0, 6, 0, 0, 0, 0], [0, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6, 6, 0, 0, 0, 0, 6, 0, 6, 6], [0, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 0, 6], [6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 0, 0], [6, 6, 6, 6, 0, 0, 6, 6, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0, 0, 6], [6, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 6, 0, 0, 6, 0, 6, 6, 0, 6], [6, 6, 6, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 6, 0, 6, 0, 0, 6], [0, 6, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 6]] -> [[7, 7, 7, 0, 7, 7, 0, 7, 0, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7, 0], [7, 7, 0, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 0, 7, 0], [7, 7, 7, 0, 7, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 0, 7, 7, 7, 0], [7, 7, 7, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 7, 7, 0, 7], [7, 0, 7, 0, 7, 7, 7, 0, 0, 7, 7, 0, 7, 0, 7, 7, 0, 0, 7, 0], [7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 0], [7, 0, 7, 0, 0, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 0, 7, 7], [7, 0, 7, 0, 7, 0, 7, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7], [7, 0, 7, 7, 7, 0, 0, 0, 7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 7, 0], [7, 7, 7, 0, 7, 0, 7, 0, 0, 7, 0, 7, 7, 7, 7, 0, 7, 0, 0, 7], [7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7], [7, 0, 0, 0, 0, 7, 7, 7, 7, 0, 0, 7, 7, 7, 7, 7, 7, 0, 0, 7], [0, 7, 0, 7, 7, 0, 7, 0, 7, 7, 7, 7, 7, 0, 0, 7, 0, 7, 7, 7], [7, 0, 7, 0, 7, 0, 7, 7, 7, 0, 7, 0, 0, 7, 7, 0, 7, 0, 7, 7], [0, 7, 7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 0, 7, 0, 7, 7, 0, 0], [7, 7, 0, 7, 0, 7, 7, 0, 7, 0, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7], [7, 0, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 0, 7], [7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 7, 0, 0, 0, 7, 7, 7, 0, 7, 7], [7, 7, 7, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0, 0, 7, 7, 7, 7, 7, 0], [7, 7, 7, 0, 7, 0, 7, 0, 7, 7, 0, 0, 7, 0, 7, 7, 7, 7, 7, 7]]\nExample input-output arrays:\n[[0, 0, 5, 0, 5, 5, 5, 5, 0, 0, 0, 5, 0, 0, 5, 0, 0, 0, 0, 0], [5, 0, 5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 5, 0, 5, 5, 5, 5], [5, 0, 5, 5, 5, 0, 0, 0, 0, 0, 5, 0, 5, 5, 5, 0, 5, 5, 0, 0], [0, 5, 5, 0, 0, 5, 5, 5, 5, 0, 5, 0, 0, 0, 0, 0, 5, 5, 5, 0], [0, 0, 5, 0, 5, 0, 5, 0, 0, 5, 5, 0, 5, 0, 0, 0, 5, 5, 5, 5], [0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 5, 5, 5], [5, 0, 5, 5, 5, 0, 5, 5, 0, 0, 5, 0, 5, 5, 0, 5, 0, 5, 5, 0], [0, 5, 5, 5, 0, 5, 5, 0, 0, 5, 0, 5, 0, 5, 5, 5, 5, 0, 0, 0], [5, 5, 0, 5, 0, 5, 0, 5, 0, 5, 5, 5, 5, 0, 0, 5, 0, 5, 5, 0], [0, 0, 0, 5, 5, 5, 5, 5, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 5, 0], [0, 0, 5, 5, 0, 5, 5, 5, 5, 0, 0, 5, 5, 5, 0, 5, 5, 0, 0, 5], [5, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 5, 0, 0, 5, 0, 0, 5, 5, 5], [5, 0, 0, 0, 0, 0, 5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 5, 5, 5, 5], [5, 5, 0, 5, 5, 5, 5, 0, 0, 5, 0, 5, 5, 5, 5, 5, 0, 5, 5, 0], [5, 0, 0, 0, 0, 5, 5, 0, 0, 5, 0, 5, 5, 5, 0, 5, 0, 0, 5, 0], [5, 0, 0, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 5, 0, 0], [5, 5, 0, 0, 5, 5, 5, 5, 0, 0, 5, 5, 5, 0, 5, 5, 0, 5, 5, 5], [0, 5, 5, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 5, 0, 5, 0, 0], [0, 0, 5, 5, 5, 5, 5, 5, 0, 5, 5, 0, 0, 0, 5, 5, 5, 5, 0, 0], [0, 5, 5, 0, 5, 0, 5, 0, 5, 0, 0, 5, 5, 0, 5, 5, 5, 0, 5, 5], [0, 6, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 6, 0, 0, 0, 6], [6, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 6, 0, 6, 6, 6, 0, 0, 0, 6], [6, 0, 6, 6, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 0, 6, 0, 0], [0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 0], [6, 0, 6, 0, 6, 0, 6, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 6, 0, 0], [6, 0, 6, 6, 6, 0, 6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 6, 0, 6, 0], [6, 0, 0, 0, 0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 0, 6, 6, 0], [6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 6, 6, 6, 0, 0, 6, 6], [6, 6, 6, 0, 0, 6, 6, 0, 0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6], [6, 6, 0, 6, 6, 0, 6, 0, 0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 6, 6], [0, 6, 6, 0, 0, 0, 0, 6, 0, 6, 0, 6, 0, 0, 6, 6, 6, 6, 0, 0], [6, 0, 6, 0, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 0, 0, 6, 0, 6, 0], [6, 6, 0, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 6], [6, 0, 6, 0, 0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 6], [0, 6, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0], [6, 0, 0, 6, 6, 6, 0, 0, 6, 0, 0, 6, 6, 6, 0, 0, 0, 6, 0, 0], [0, 6, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0, 0, 0, 6, 0, 6, 6, 6, 0], [6, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0], [6, 6, 6, 6, 6, 0, 6, 6, 0, 0, 6, 6, 0, 0, 0, 6, 0, 0, 6, 0], [6, 6, 0, 6, 6, 6, 6, 0, 6, 6, 0, 6, 0, 0, 6, 0, 0, 6, 0, 6]] -> [[0, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 0, 0, 7], [7, 0, 7, 0, 0, 7, 7, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0], [7, 0, 7, 0, 7, 7, 0, 7, 0, 7, 7, 0, 7, 0, 7, 7, 7, 0, 0, 0], [0, 7, 7, 0, 0, 0, 7, 7, 7, 0, 7, 0, 0, 0, 7, 7, 7, 0, 7, 0], [7, 0, 7, 0, 7, 0, 7, 0, 0, 7, 7, 7, 7, 0, 0, 0, 7, 0, 7, 7], [7, 7, 7, 7, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7, 7, 7, 7, 7, 7, 7], [7, 0, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7, 0, 0, 0, 7, 0], [7, 0, 7, 7, 0, 7, 7, 0, 7, 0, 0, 7, 0, 0, 7, 0, 7, 0, 7, 7], [7, 0, 7, 7, 0, 0, 7, 7, 0, 0, 7, 0, 7, 7, 0, 0, 0, 0, 7, 7], [7, 7, 0, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 7, 0, 7, 7, 0, 7, 7], [0, 7, 7, 7, 0, 7, 7, 0, 7, 7, 0, 0, 7, 7, 7, 0, 7, 7, 0, 7], [7, 7, 7, 0, 0, 0, 7, 0, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7], [7, 7, 0, 0, 0, 7, 7, 0, 7, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0], [7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 7, 7, 7, 7, 7, 0, 7, 7], [7, 7, 0, 7, 0, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 7, 0], [7, 0, 0, 0, 7, 0, 7, 0, 7, 0, 0, 7, 7, 7, 7, 7, 7, 0, 0, 0], [7, 0, 0, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 0, 7, 7], [7, 7, 7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 7, 7, 0, 7, 7, 0, 0, 0], [7, 7, 7, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 0, 7, 0, 7, 7, 7, 0], [7, 0, 7, 7, 7, 7, 7, 0, 7, 7, 0, 0, 7, 0, 7, 7, 7, 7, 7, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing the causal function for some elements.\n[[5, 5, 0, 5, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 0, 5, 5, 5, 5, 5], [0, 5, 0, 5, 5, 5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 5, 0, 0, 0, 0], [0, 5, 0, 0, 0, 5, 5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 0, 0, 5, 5], [5, 0, 0, 5, 5, 0, 0, 0, 0, 5, 0, 5, 5, 5, 5, 5, 0, 0, 0, 5], [5, 5, 0, 5, 0, 5, 0, 5, 5, 0, 0, 5, 0, 5, 5, 5, 0, 0, 0, 0], [5, 0, 0, 5, 5, 5, 5, 5, 5, 5, 0, 5, 5, 5, 5, 0, 5, 0, 0, 0], [0, 5, 0, 0, 0, 5, 0, 0, 5, 5, 0, 5, 0, 0, 5, 0, 5, 0, 0, 5], [5, 0, 0, 0, 5, 0, 0, 5, 5, 0, 5, 0, 5, 0, 0, 0, 0, 5, 5, 5], [0, 0, 5, 0, 5, 0, 5, 0, 5, 0, 0, 0, 0, 5, 5, 0, 5, 0, 0, 5], [5, 5, 5, 0, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 0, 5, 5, 0, 5], [5, 5, 0, 0, 5, 0, 0, 0, 0, 5, 5, 0, 0, 0, 5, 0, 0, 5, 5, 0], [0, 0, 5, 5, 5, 0, 0, 5, 0, 5, 0, 0, 5, 5, 0, 5, 5, 0, 0, 0], [0, 5, 5, 5, 5, 5, 0, 5, 0, 0, 0, 0, 0, 5, 0, 5, 0, 0, 0, 0], [0, 0, 5, 0, 0, 0, 0, 5, 5, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 5], [0, 5, 5, 5, 5, 0, 0, 5, 5, 0, 5, 0, 0, 0, 5, 0, 5, 5, 0, 5], [0, 5, 5, 0, 0, 0, 0, 5, 5, 5, 5, 5, 5, 5, 0, 0, 0, 0, 5, 5], [0, 0, 5, 5, 0, 0, 0, 0, 5, 5, 0, 0, 0, 5, 0, 0, 5, 0, 0, 0], [5, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 0, 5, 5], [5, 5, 0, 0, 0, 0, 0, 0, 5, 0, 0, 5, 5, 5, 0, 0, 0, 0, 5, 5], [5, 0, 0, 5, 0, 5, 0, 5, 0, 5, 5, 0, 0, 5, 0, 0, 0, 5, 0, 0], [0, 0, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6, 0, 0], [0, 0, 0, 6, 6, 0, 0, 0, 6, 6, 6, 0, 6, 0, 0, 0, 0, 0, 0, 0], [6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 6, 0, 0, 0, 0, 6, 0, 0, 6, 0], [6, 0, 0, 0, 0, 6, 0, 6, 6, 6, 0, 0, 6, 6, 0, 0, 0, 6, 6, 0], [6, 0, 0, 0, 0, 6, 6, 0, 0, 0, 6, 6, 6, 6, 0, 0, 6, 0, 0, 6], [0, 6, 6, 0, 6, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6], [6, 0, 0, 6, 6, 6, 6, 0, 6, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0], [6, 0, 6, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0, 0, 6, 0], [0, 6, 6, 6, 6, 0, 0, 0, 6, 0, 0, 6, 0, 6, 0, 6, 6, 0, 6, 0], [0, 6, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 6, 6, 6, 0, 0, 6, 6, 6], [6, 6, 6, 0, 6, 0, 6, 0, 0, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 0], [0, 6, 0, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 0, 6, 0, 6, 0], [6, 6, 0, 0, 0, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 6, 6, 0, 6, 6], [6, 6, 0, 6, 6, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 6, 0, 6, 0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 6, 6, 6], [6, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 6, 6, 0, 0, 6, 0, 6, 6], [6, 6, 6, 6, 6, 0, 6, 0, 6, 0, 6, 0, 0, 6, 6, 6, 6, 0, 0, 6], [0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 6, 0, 0, 6, 0, 6, 6, 6, 6, 6], [0, 0, 6, 6, 6, 0, 0, 6, 6, 0, 0, 0, 0, 6, 0, 0, 6, 6, 6, 0], [6, 0, 0, 0, 0, 0, 6, 0, 6, 6, 6, 0, 6, 0, 0, 6, 6, 0, 0, 0]] -> ",
+                "test": {
+                    "input": [
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+                }
+            },
+            "Replicate 4": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[5, 0, 5, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 5, 5, 0, 0, 5, 0, 5], [0, 0, 5, 0, 5, 5, 5, 5, 5, 5, 5, 0, 5, 0, 5, 0, 0, 5, 5, 0], [0, 5, 5, 5, 5, 0, 5, 0, 0, 0, 0, 5, 5, 0, 5, 5, 0, 5, 5, 0], [0, 0, 5, 5, 5, 0, 0, 5, 5, 0, 0, 0, 5, 0, 0, 0, 5, 5, 5, 0], [0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 5, 5, 0, 0, 0, 5], [0, 5, 5, 5, 5, 0, 5, 5, 5, 0, 5, 0, 5, 5, 5, 5, 5, 5, 0, 5], [0, 5, 5, 0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 5, 5, 0, 0, 5, 0, 0], [5, 5, 5, 5, 0, 5, 0, 0, 5, 5, 0, 0, 0, 5, 0, 5, 0, 0, 5, 5], [5, 0, 5, 5, 5, 0, 5, 0, 0, 0, 0, 5, 5, 5, 5, 0, 5, 0, 5, 5], [0, 0, 5, 5, 5, 0, 0, 5, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 5], [0, 0, 5, 5, 0, 0, 0, 0, 0, 5, 5, 0, 5, 0, 5, 0, 0, 5, 0, 0], [5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 5, 0, 0, 5], [5, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 5, 0, 0, 5, 5, 0, 0, 5], [5, 5, 5, 0, 5, 5, 5, 0, 5, 0, 5, 0, 0, 0, 5, 5, 0, 5, 5, 0], [0, 0, 5, 0, 0, 0, 5, 5, 0, 5, 0, 0, 5, 5, 5, 5, 5, 0, 0, 0], [0, 5, 0, 0, 5, 5, 0, 0, 5, 0, 5, 0, 5, 5, 0, 0, 0, 0, 5, 5], [5, 0, 5, 5, 5, 0, 5, 5, 0, 5, 0, 5, 5, 0, 0, 5, 5, 0, 0, 5], [5, 0, 0, 0, 5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 0, 5, 5, 0, 5, 0], [0, 0, 0, 5, 0, 5, 5, 5, 0, 0, 5, 5, 0, 5, 5, 5, 0, 5, 5, 5], [0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 5, 5, 0, 5, 0, 0, 5, 5, 5, 0], [6, 0, 6, 0, 0, 6, 6, 6, 6, 0, 0, 6, 6, 0, 0, 6, 6, 6, 0, 6], [0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 6, 0, 0, 0], [6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 6, 0, 0, 0, 6, 0, 6, 0], [0, 6, 0, 6, 0, 6, 0, 0, 6, 6, 0, 6, 6, 6, 0, 6, 6, 6, 6, 6], [6, 6, 6, 0, 0, 6, 0, 6, 0, 6, 0, 0, 0, 6, 0, 6, 0, 6, 0, 0], [0, 6, 6, 6, 6, 0, 0, 6, 0, 0, 6, 6, 0, 6, 6, 6, 6, 0, 6, 0], [0, 6, 6, 0, 6, 0, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0, 6, 6, 0, 6], [0, 0, 6, 6, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 6, 0, 6, 0, 6], [6, 6, 6, 6, 6, 0, 6, 0, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 6, 0], [0, 0, 0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0], [0, 0, 6, 6, 6, 0, 6, 6, 6, 6, 0, 6, 0, 6, 6, 0, 6, 0, 6, 6], [6, 0, 0, 0, 6, 6, 6, 0, 6, 6, 0, 0, 6, 0, 6, 0, 0, 0, 6, 0], [6, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 6, 0, 0], [0, 0, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 0, 0, 6, 6], [0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 0], [6, 0, 0, 6, 0, 0, 0, 6, 0, 6, 6, 6, 0, 0, 6, 0, 0, 0, 0, 0], [0, 0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 0, 0, 6, 6, 0, 6, 0], [6, 0, 0, 6, 6, 6, 0, 6, 0, 0, 6, 6, 6, 0, 0, 6, 6, 6, 0, 6], [6, 0, 6, 0, 0, 6, 6, 0, 6, 6, 0, 6, 0, 0, 0, 6, 6, 0, 0, 6], [0, 6, 6, 0, 6, 0, 6, 0, 0, 0, 6, 0, 6, 0, 6, 6, 6, 6, 0, 0]] -> [[7, 0, 7, 7, 0, 7, 7, 0, 7, 0, 7, 7, 7, 7, 7, 7, 7, 0, 0, 0], [0, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 7, 0], [7, 0, 7, 0, 7, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7, 0], [0, 7, 7, 0, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 0, 7, 7, 0, 7, 7], [7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 0, 0, 7, 0, 7], [0, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 7, 7], [0, 0, 7, 0, 7, 0, 7, 7, 7, 0, 0, 0, 7, 7, 7, 0, 7, 0, 0, 7], [7, 7, 7, 0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 7, 7, 0], [7, 7, 7, 0, 7, 0, 7, 0, 0, 0, 7, 7, 7, 0, 7, 0, 7, 0, 7, 7], [0, 0, 7, 0, 7, 7, 0, 7, 0, 7, 7, 7, 7, 0, 0, 7, 0, 0, 0, 7], [0, 0, 7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7], [7, 7, 7, 7, 7, 0, 7, 0, 7, 0, 0, 0, 7, 0, 7, 0, 7, 0, 7, 7], [7, 0, 7, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 0, 7, 7, 7], [0, 0, 7, 0, 0, 7, 7, 7, 7, 7, 0, 0, 7, 7, 7, 7, 7, 7, 0, 0], [7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 0, 0, 7, 7], [7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 0, 7, 0, 7, 7], [7, 0, 0, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 0, 0, 7, 7, 7, 7], [7, 0, 7, 7, 0, 0, 7, 7, 7, 7, 7, 0, 0, 7, 7, 0, 7, 7, 7, 0], [0, 7, 7, 7, 7, 7, 7, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [6, 0, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 6, 6], [6, 6, 6, 6, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 6, 0, 0, 0], [0, 6, 0, 0, 6, 6, 6, 6, 0, 0, 0, 6, 6, 0, 0, 6, 6, 0, 6, 6], [6, 0, 0, 0, 6, 6, 0, 0, 6, 6, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 6, 6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 6, 6, 0], [0, 6, 6, 6, 0, 0, 0, 6, 0, 6, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0], [6, 6, 6, 6, 0, 0, 0, 6, 6, 6, 6, 6, 6, 0, 0, 6, 0, 0, 0, 0], [0, 6, 0, 6, 0, 0, 6, 0, 6, 6, 6, 0, 6, 6, 0, 6, 0, 0, 6, 0], [6, 6, 6, 6, 0, 6, 6, 0, 6, 6, 6, 0, 0, 6, 6, 6, 0, 0, 0, 0], [0, 0, 6, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 6, 0, 6], [0, 0, 6, 0, 6, 0, 0, 6, 0, 6, 6, 6, 6, 6, 0, 6, 6, 6, 6, 0], [6, 0, 0, 0, 6, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 0, 0, 6, 0, 0], [0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 0, 6, 6, 0, 0, 6, 0, 6, 6, 0], [6, 6, 0, 6, 6, 6, 0, 0, 6, 6, 0, 6, 0, 6, 0, 0, 6, 0, 6, 6], [6, 6, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 6, 0, 6, 0, 6, 0], [6, 0, 0, 0, 6, 6, 6, 6, 0, 0, 6, 0, 0, 6, 0, 6, 0, 6, 0, 0], [6, 6, 0, 0, 6, 6, 0, 6, 6, 0, 6, 0, 0, 0, 6, 6, 0, 0, 6, 6], [6, 6, 0, 6, 0, 6, 0, 0, 0, 6, 0, 6, 0, 6, 0, 6, 6, 6, 6, 0], [6, 6, 0, 6, 0, 0, 0, 6, 6, 0, 6, 0, 6, 6, 0, 6, 6, 6, 6, 0], [6, 0, 0, 6, 0, 0, 6, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 0, 0, 0]] -> [[7, 7, 7, 0, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0], [7, 0, 7, 0, 7, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7, 7], [7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 0], [7, 7, 7, 7, 7, 0, 7, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 7, 0, 7, 0, 7, 7], [7, 0, 7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 7, 0, 7, 7], [7, 0, 7, 0, 7, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7], [7, 0, 7, 0, 7, 7, 7, 7, 7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 7, 7], [7, 0, 7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 7, 7], [7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 0, 7, 0], [7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 7, 7, 7, 0, 7, 7], [7, 0, 7, 7, 7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 7, 0, 7, 0, 7, 7], [7, 0, 7, 0, 7, 0, 7, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7, 0], [7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 0, 7, 0, 7, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 7], [7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 0], [7, 0, 7, 0, 7, 0, 7, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7], [7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 7], [7, 7, 7, 0, 7, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7]]\nExample input-output arrays:\n[[0, 5, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 5, 5, 0, 0, 5, 0, 0, 0], [0, 0, 5, 0, 5, 5, 5, 0, 5, 5, 0, 5, 0, 5, 5, 5, 0, 0, 0, 5], [0, 0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 5, 5, 0, 0], [0, 5, 5, 5, 5, 0, 0, 0, 0, 5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 0], [0, 5, 5, 5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 0, 5, 5, 5, 5, 5, 5], [0, 5, 0, 0, 5, 5, 0, 5, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 5], [5, 5, 0, 0, 5, 5, 0, 0, 0, 5, 5, 5, 5, 5, 5, 5, 0, 0, 0, 5], [5, 0, 5, 0, 0, 5, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0], [5, 5, 0, 5, 5, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 5], [0, 0, 0, 0, 0, 5, 0, 0, 5, 0, 5, 0, 0, 5, 0, 5, 5, 5, 5, 0], [0, 0, 0, 5, 0, 5, 5, 0, 0, 5, 5, 0, 0, 5, 0, 5, 0, 5, 0, 5], [5, 0, 5, 0, 5, 0, 0, 5, 0, 5, 5, 0, 5, 5, 5, 5, 5, 5, 5, 0], [5, 0, 5, 5, 0, 5, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 5, 0, 0, 0], [0, 5, 5, 0, 0, 5, 5, 0, 0, 5, 5, 0, 5, 0, 0, 5, 5, 5, 5, 5], [5, 0, 5, 0, 5, 5, 0, 5, 0, 5, 0, 5, 5, 5, 0, 0, 0, 0, 5, 0], [0, 5, 5, 0, 5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 5, 0, 0, 5, 5], [0, 5, 5, 0, 0, 0, 5, 0, 0, 5, 0, 0, 5, 5, 0, 0, 0, 0, 0, 5], [5, 5, 0, 0, 0, 5, 5, 0, 5, 5, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0], [0, 5, 0, 0, 5, 5, 0, 5, 0, 0, 5, 5, 0, 5, 5, 0, 5, 0, 0, 5], [0, 6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 6, 0], [0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 6, 6, 0, 6, 6, 0, 0], [0, 6, 0, 6, 6, 0, 0, 6, 0, 6, 6, 6, 6, 0, 0, 0, 6, 6, 0, 0], [6, 0, 6, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6, 6, 6, 0, 0, 0, 6, 0], [0, 0, 6, 6, 6, 0, 0, 6, 6, 6, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6], [0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6, 0, 0, 6, 0, 6, 0, 6, 6, 6], [0, 0, 6, 0, 6, 6, 0, 0, 0, 6, 6, 6, 0, 0, 0, 6, 6, 6, 6, 6], [0, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 6, 0, 0], [6, 0, 0, 0, 6, 6, 6, 0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 0, 6], [6, 6, 6, 0, 0, 6, 0, 6, 0, 6, 0, 0, 0, 6, 0, 0, 0, 0, 6, 6], [6, 6, 0, 6, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [0, 6, 0, 0, 6, 0, 0, 6, 6, 6, 0, 0, 6, 6, 0, 6, 0, 6, 0, 0], [6, 6, 0, 6, 0, 0, 6, 0, 6, 6, 6, 6, 6, 0, 0, 0, 6, 6, 0, 0], [6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 0, 6, 0, 6, 6, 6, 0, 6, 0, 0], [0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 6, 0, 6, 0, 0, 6, 0, 6, 6, 0], [6, 6, 6, 0, 0, 0, 0, 6, 0, 0, 6, 6, 0, 6, 0, 0, 0, 6, 6, 0], [6, 6, 0, 6, 6, 0, 0, 6, 0, 6, 6, 6, 0, 0, 6, 6, 0, 0, 0, 6], [0, 6, 0, 0, 0, 0, 6, 0, 6, 6, 6, 6, 6, 0, 6, 0, 6, 6, 0, 0], [0, 6, 0, 0, 0, 0, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6, 0, 6, 0], [6, 6, 6, 6, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6]] -> [[0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 0], [0, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7, 0, 0, 7, 7, 7, 7, 0, 7], [0, 7, 0, 7, 7, 7, 0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0], [7, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 0, 0, 7, 0], [0, 7, 7, 0, 7, 7, 7, 0, 7, 0, 0, 0, 7, 7, 7, 7, 7, 0, 7, 0], [0, 0, 7, 7, 7, 0, 7, 7, 0, 0, 7, 0, 0, 7, 7, 0, 7, 7, 7, 0], [7, 7, 7, 0, 7, 0, 0, 0, 0, 0, 7, 0, 7, 7, 7, 0, 7, 7, 7, 0], [7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 0, 7, 0, 0, 0, 0, 0], [7, 7, 0, 7, 7, 7, 7, 0, 0, 7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 0], [7, 7, 7, 0, 0, 0, 0, 7, 7, 7, 7, 0, 0, 0, 0, 7, 7, 7, 7, 7], [7, 7, 0, 0, 7, 0, 7, 7, 0, 0, 7, 7, 7, 0, 7, 0, 7, 0, 7, 0], [7, 7, 7, 0, 7, 0, 0, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0], [7, 7, 7, 0, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 0], [7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 7, 7, 7, 7, 7, 0, 7, 0, 7, 7], [7, 0, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 0, 7, 0, 7, 7, 0], [7, 0, 7, 0, 7, 0, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 0, 7, 7, 0], [7, 7, 0, 0, 7, 0, 0, 0, 0, 7, 7, 7, 7, 0, 7, 0, 0, 0, 7, 0], [0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7, 0, 7, 7, 0, 7], [7, 0, 0, 0, 0, 7, 7, 7, 7, 0, 0, 7, 7, 0, 0, 0, 7, 0, 7, 0], [7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing the causal function for some elements.\n[[5, 0, 5, 5, 5, 5, 0, 0, 0, 5, 5, 5, 0, 0, 5, 5, 0, 5, 5, 5], [5, 5, 0, 5, 0, 0, 0, 5, 0, 0, 5, 0, 5, 0, 0, 0, 5, 5, 5, 0], [5, 5, 5, 5, 0, 0, 5, 5, 5, 0, 0, 0, 5, 5, 5, 5, 0, 0, 5, 5], [5, 0, 0, 0, 0, 5, 5, 5, 5, 0, 0, 0, 0, 5, 0, 5, 5, 5, 0, 5], [5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 5, 5, 0, 0, 0, 0, 0, 0], [5, 0, 5, 5, 0, 0, 5, 0, 5, 5, 5, 5, 5, 5, 0, 0, 0, 5, 5, 0], [0, 0, 5, 5, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0], [0, 5, 0, 5, 5, 0, 0, 0, 0, 0, 5, 5, 5, 5, 5, 5, 5, 0, 5, 5], [0, 0, 5, 0, 0, 5, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0, 0, 0], [5, 5, 5, 5, 5, 0, 5, 5, 0, 5, 0, 5, 5, 0, 5, 0, 0, 0, 0, 5], [5, 5, 5, 0, 5, 0, 0, 5, 5, 0, 0, 5, 5, 0, 5, 0, 5, 0, 5, 0], [0, 5, 0, 5, 0, 5, 5, 0, 5, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 5], [0, 5, 0, 0, 5, 0, 5, 5, 5, 5, 5, 5, 5, 0, 0, 0, 0, 5, 5, 5], [5, 0, 0, 5, 5, 0, 0, 5, 5, 0, 0, 5, 0, 5, 5, 0, 0, 0, 0, 0], [0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 5, 0, 0, 0, 5, 5, 5, 5, 0, 5], [5, 0, 0, 5, 0, 5, 5, 5, 0, 5, 5, 5, 5, 5, 0, 5, 5, 5, 5, 5], [5, 5, 5, 0, 5, 5, 5, 0, 5, 5, 5, 5, 0, 5, 5, 0, 5, 5, 0, 0], [5, 0, 0, 5, 5, 5, 0, 5, 5, 0, 5, 5, 0, 0, 5, 5, 5, 5, 5, 0], [0, 0, 5, 5, 5, 0, 0, 5, 0, 0, 5, 5, 0, 5, 5, 5, 0, 5, 5, 5], [5, 0, 5, 5, 0, 0, 5, 0, 5, 5, 0, 0, 5, 0, 0, 5, 0, 5, 5, 0], [6, 6, 6, 6, 0, 0, 0, 6, 0, 6, 0, 6, 6, 0, 0, 0, 6, 0, 0, 6], [0, 0, 0, 0, 6, 0, 6, 0, 6, 0, 6, 6, 6, 0, 6, 6, 0, 6, 0, 0], [6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 0, 6], [6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0], [0, 0, 6, 0, 0, 6, 6, 0, 0, 6, 0, 0, 0, 6, 6, 6, 0, 0, 6, 0], [0, 0, 6, 0, 0, 6, 6, 0, 6, 0, 0, 6, 0, 0, 6, 0, 6, 0, 6, 0], [6, 0, 0, 6, 0, 6, 0, 0, 6, 0, 6, 0, 6, 0, 6, 6, 0, 6, 6, 6], [6, 6, 6, 6, 6, 0, 6, 0, 0, 6, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0], [6, 0, 0, 6, 6, 6, 0, 6, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 0], [6, 0, 0, 6, 0, 0, 0, 6, 0, 0, 0, 0, 0, 6, 6, 0, 6, 0, 0, 0], [0, 6, 6, 6, 0, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 0, 6, 6, 0, 6], [6, 6, 0, 6, 0, 0, 0, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 0, 0, 0], [0, 0, 0, 6, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 0, 6, 0, 0, 0, 0], [0, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6, 6, 0, 0, 0, 0, 6, 0, 6, 6], [0, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 0, 6], [6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 0, 0], [6, 6, 6, 6, 0, 0, 6, 6, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0, 0, 6], [6, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 6, 0, 0, 6, 0, 6, 6, 0, 6], [6, 6, 6, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 6, 0, 6, 0, 0, 6], [0, 6, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 6]] -> ",
+                "test": {
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+                    ],
+                    "output": [
+                        [
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+                        [
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+                        [
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+                        [
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+                        ]
+                    ]
+                }
+            }
+        }
+    },
+    "SCMu3am!and!xor!axis0!10x10": {
+        "L1": {
+            "Replicate 0": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 2, 2, 0, 2, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 2], [2, 2, 0, 0, 0, 2, 2, 2, 0, 2], [0, 0, 2, 2, 2, 2, 0, 2, 2, 0], [0, 0, 0, 0, 2, 0, 2, 0, 2, 2], [0, 2, 2, 0, 2, 2, 2, 0, 0, 2], [0, 2, 2, 2, 0, 2, 2, 0, 2, 0], [2, 0, 2, 2, 2, 2, 0, 2, 2, 2], [2, 0, 0, 0, 0, 0, 2, 0, 0, 2], [2, 2, 0, 2, 0, 0, 0, 0, 0, 2], [0, 4, 4, 0, 0, 4, 4, 0, 4, 0], [0, 0, 4, 4, 0, 0, 0, 0, 4, 4], [0, 0, 4, 4, 4, 0, 0, 0, 4, 0], [4, 4, 0, 0, 4, 0, 4, 0, 4, 0], [0, 4, 4, 4, 0, 4, 0, 4, 0, 0], [4, 4, 0, 4, 4, 4, 4, 0, 4, 0], [4, 4, 0, 0, 0, 4, 0, 0, 0, 4], [4, 4, 4, 4, 0, 4, 4, 0, 4, 4], [0, 4, 4, 0, 0, 0, 4, 0, 4, 0], [0, 4, 4, 4, 4, 0, 4, 0, 4, 4]] -> [[0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 6, 0, 6, 0, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 6, 6, 6, 0, 6, 6, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 6, 6, 0, 0, 0, 0, 6, 6], [0, 6, 0, 0, 0, 6, 0, 0, 0, 0], [0, 6, 0, 0, 6, 0, 6, 6, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0, 0, 0], [6, 0, 6, 0, 6, 0, 6, 0, 6, 0]]\nExample input-output arrays:\n[[2, 2, 0, 2, 0, 0, 2, 0, 2, 0], [2, 0, 2, 2, 0, 2, 0, 0, 2, 2], [0, 2, 2, 2, 0, 2, 0, 0, 2, 2], [2, 0, 2, 2, 2, 2, 2, 0, 0, 0], [0, 0, 0, 2, 0, 2, 0, 0, 2, 2], [2, 2, 2, 0, 0, 2, 2, 2, 2, 0], [0, 2, 2, 0, 0, 2, 0, 2, 0, 2], [0, 2, 0, 0, 2, 0, 0, 2, 2, 2], [0, 2, 2, 2, 2, 2, 2, 0, 2, 2], [0, 0, 2, 0, 2, 0, 2, 2, 2, 0], [4, 4, 0, 4, 0, 0, 0, 4, 4, 0], [0, 0, 0, 4, 4, 4, 4, 0, 0, 0], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 4, 4, 0, 4, 4, 0, 0, 4], [4, 0, 4, 0, 0, 4, 4, 0, 0, 0], [4, 0, 0, 4, 4, 0, 4, 4, 4, 0], [4, 4, 4, 4, 0, 0, 0, 0, 0, 4], [0, 0, 4, 4, 0, 0, 0, 0, 0, 4], [0, 0, 4, 4, 0, 0, 0, 4, 0, 4], [0, 4, 0, 4, 0, 4, 0, 0, 0, 0]] -> [[6, 6, 0, 6, 0, 0, 0, 0, 6, 0], [6, 0, 6, 0, 6, 0, 6, 0, 6, 6], [0, 6, 6, 6, 0, 6, 0, 0, 6, 6], [6, 0, 0, 0, 6, 0, 0, 0, 0, 6], [0, 0, 0, 0, 0, 6, 0, 0, 0, 0], [0, 6, 6, 6, 6, 6, 0, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 6], [0, 6, 6, 6, 6, 0, 0, 6, 6, 0], [0, 0, 6, 6, 0, 0, 0, 0, 0, 6], [0, 6, 6, 6, 6, 6, 6, 6, 6, 0]]\nExample input-output arrays:\n[[2, 0, 0, 0, 2, 0, 2, 2, 2, 0], [0, 2, 0, 2, 2, 0, 2, 0, 0, 2], [2, 2, 2, 2, 2, 0, 2, 2, 2, 2], [2, 2, 2, 2, 0, 2, 0, 2, 2, 2], [0, 2, 2, 2, 2, 2, 2, 0, 0, 2], [0, 2, 0, 2, 0, 0, 2, 0, 2, 2], [0, 2, 2, 2, 2, 0, 2, 2, 2, 2], [0, 0, 2, 0, 2, 0, 0, 0, 0, 2], [0, 2, 0, 2, 0, 0, 2, 0, 0, 2], [0, 2, 0, 2, 2, 0, 0, 2, 0, 0], [0, 4, 0, 4, 0, 4, 4, 0, 4, 4], [4, 0, 0, 0, 0, 4, 0, 4, 0, 0], [0, 4, 4, 4, 0, 4, 0, 0, 0, 4], [0, 0, 4, 4, 4, 0, 0, 0, 4, 0], [0, 0, 4, 4, 0, 0, 0, 4, 0, 0], [4, 4, 4, 4, 0, 4, 0, 0, 4, 4], [0, 0, 4, 4, 4, 0, 4, 4, 4, 4], [0, 4, 0, 4, 4, 4, 0, 0, 0, 4], [4, 4, 0, 0, 4, 4, 4, 0, 0, 0], [0, 0, 4, 4, 0, 4, 4, 4, 4, 4]] -> [[0, 0, 0, 0, 0, 0, 6, 0, 6, 0], [6, 6, 0, 6, 6, 6, 6, 6, 0, 6], [0, 6, 6, 6, 0, 0, 0, 0, 0, 6], [6, 6, 0, 0, 6, 6, 0, 6, 0, 6], [0, 0, 6, 6, 0, 0, 0, 0, 0, 0], [6, 0, 6, 0, 0, 6, 6, 0, 0, 0], [0, 0, 6, 6, 6, 0, 6, 6, 6, 6], [0, 6, 6, 6, 0, 6, 0, 0, 0, 0], [0, 6, 0, 0, 0, 0, 6, 0, 0, 0], [0, 6, 6, 0, 6, 6, 6, 0, 6, 6]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[2, 2, 0, 0, 2, 0, 2, 2, 2, 0], [2, 2, 0, 2, 0, 0, 2, 0, 2, 0], [2, 2, 2, 0, 2, 0, 2, 2, 2, 0], [2, 2, 0, 2, 0, 0, 2, 0, 2, 0], [2, 2, 0, 0, 0, 0, 0, 0, 0, 0], [2, 2, 2, 0, 0, 2, 0, 2, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 2], [2, 0, 0, 2, 2, 0, 2, 0, 0, 2], [2, 0, 2, 0, 0, 0, 2, 2, 0, 2], [2, 2, 0, 0, 2, 0, 2, 0, 2, 0], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4]] -> ",
+                "test": {
+                    "input": [
+                        [
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+                            0,
+                            2,
+                            0,
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+                        ],
+                        [
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+                            2,
+                            0,
+                            0,
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+                            0,
+                            2,
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+                        ],
+                        [
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+                            0
+                        ],
+                        [
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+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
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+                        ],
+                        [
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+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
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+                        ],
+                        [
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+                            0,
+                            2,
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+                        ],
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+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
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+                        ],
+                        [
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+                        ],
+                        [
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+                        ],
+                        [
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+                        ],
+                        [
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+                        ],
+                        [
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+                        ],
+                        [
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+                        ],
+                        [
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+                        ],
+                        [
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+                        ],
+                        [
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+                        ],
+                        [
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+                        ],
+                        [
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+                        ],
+                        [
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+                            4,
+                            4,
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+                        ],
+                        [
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+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4
+                        ]
+                    ],
+                    "output": [
+                        [
+                            6,
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0
+                        ],
+                        [
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+                            0,
+                            6,
+                            6,
+                            0,
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+                            0,
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+                        ],
+                        [
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+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
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+                        ],
+                        [
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+                            6,
+                            6,
+                            0,
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+                            0,
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+                        ],
+                        [
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+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
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+                        ],
+                        [
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+                            0,
+                            6,
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+                        ],
+                        [
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+                        ],
+                        [
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+                        [
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+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            6,
+                            6,
+                            0,
+                            6
+                        ],
+                        [
+                            0,
+                            0,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6
+                        ]
+                    ]
+                }
+            },
+            "Replicate 1": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[2, 0, 0, 0, 2, 0, 2, 2, 2, 0], [0, 2, 0, 2, 2, 0, 2, 0, 0, 2], [2, 2, 2, 2, 2, 0, 2, 2, 2, 2], [2, 2, 2, 2, 0, 2, 0, 2, 2, 2], [0, 2, 2, 2, 2, 2, 2, 0, 0, 2], [0, 2, 0, 2, 0, 0, 2, 0, 2, 2], [0, 2, 2, 2, 2, 0, 2, 2, 2, 2], [0, 0, 2, 0, 2, 0, 0, 0, 0, 2], [0, 2, 0, 2, 0, 0, 2, 0, 0, 2], [0, 2, 0, 2, 2, 0, 0, 2, 0, 0], [0, 4, 0, 4, 0, 4, 4, 0, 4, 4], [4, 0, 0, 0, 0, 4, 0, 4, 0, 0], [0, 4, 4, 4, 0, 4, 0, 0, 0, 4], [0, 0, 4, 4, 4, 0, 0, 0, 4, 0], [0, 0, 4, 4, 0, 0, 0, 4, 0, 0], [4, 4, 4, 4, 0, 4, 0, 0, 4, 4], [0, 0, 4, 4, 4, 0, 4, 4, 4, 4], [0, 4, 0, 4, 4, 4, 0, 0, 0, 4], [4, 4, 0, 0, 4, 4, 4, 0, 0, 0], [0, 0, 4, 4, 0, 4, 4, 4, 4, 4]] -> [[0, 0, 0, 0, 0, 0, 6, 0, 6, 0], [6, 6, 0, 6, 6, 6, 6, 6, 0, 6], [0, 6, 6, 6, 0, 0, 0, 0, 0, 6], [6, 6, 0, 0, 6, 6, 0, 6, 0, 6], [0, 0, 6, 6, 0, 0, 0, 0, 0, 0], [6, 0, 6, 0, 0, 6, 6, 0, 0, 0], [0, 0, 6, 6, 6, 0, 6, 6, 6, 6], [0, 6, 6, 6, 0, 6, 0, 0, 0, 0], [0, 6, 0, 0, 0, 0, 6, 0, 0, 0], [0, 6, 6, 0, 6, 6, 6, 0, 6, 6]]\nExample input-output arrays:\n[[0, 2, 2, 0, 2, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 2], [2, 2, 0, 0, 0, 2, 2, 2, 0, 2], [0, 0, 2, 2, 2, 2, 0, 2, 2, 0], [0, 0, 0, 0, 2, 0, 2, 0, 2, 2], [0, 2, 2, 0, 2, 2, 2, 0, 0, 2], [0, 2, 2, 2, 0, 2, 2, 0, 2, 0], [2, 0, 2, 2, 2, 2, 0, 2, 2, 2], [2, 0, 0, 0, 0, 0, 2, 0, 0, 2], [2, 2, 0, 2, 0, 0, 0, 0, 0, 2], [0, 4, 4, 0, 0, 4, 4, 0, 4, 0], [0, 0, 4, 4, 0, 0, 0, 0, 4, 4], [0, 0, 4, 4, 4, 0, 0, 0, 4, 0], [4, 4, 0, 0, 4, 0, 4, 0, 4, 0], [0, 4, 4, 4, 0, 4, 0, 4, 0, 0], [4, 4, 0, 4, 4, 4, 4, 0, 4, 0], [4, 4, 0, 0, 0, 4, 0, 0, 0, 4], [4, 4, 4, 4, 0, 4, 4, 0, 4, 4], [0, 4, 4, 0, 0, 0, 4, 0, 4, 0], [0, 4, 4, 4, 4, 0, 4, 0, 4, 4]] -> [[0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 6, 0, 6, 0, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 6, 6, 6, 0, 6, 6, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 6, 6, 0, 0, 0, 0, 6, 6], [0, 6, 0, 0, 0, 6, 0, 0, 0, 0], [0, 6, 0, 0, 6, 0, 6, 6, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0, 0, 0], [6, 0, 6, 0, 6, 0, 6, 0, 6, 0]]\nExample input-output arrays:\n[[0, 2, 2, 0, 2, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 2], [2, 2, 0, 0, 0, 2, 2, 2, 0, 2], [0, 0, 2, 2, 2, 2, 0, 2, 2, 0], [0, 0, 0, 0, 2, 0, 2, 0, 2, 2], [0, 2, 2, 0, 2, 2, 2, 0, 0, 2], [0, 2, 2, 2, 0, 2, 2, 0, 2, 0], [2, 0, 2, 2, 2, 2, 0, 2, 2, 2], [2, 0, 0, 0, 0, 0, 2, 0, 0, 2], [2, 2, 0, 2, 0, 0, 0, 0, 0, 2], [0, 4, 4, 0, 0, 4, 4, 0, 4, 0], [0, 0, 4, 4, 0, 0, 0, 0, 4, 4], [0, 0, 4, 4, 4, 0, 0, 0, 4, 0], [4, 4, 0, 0, 4, 0, 4, 0, 4, 0], [0, 4, 4, 4, 0, 4, 0, 4, 0, 0], [4, 4, 0, 4, 4, 4, 4, 0, 4, 0], [4, 4, 0, 0, 0, 4, 0, 0, 0, 4], [4, 4, 4, 4, 0, 4, 4, 0, 4, 4], [0, 4, 4, 0, 0, 0, 4, 0, 4, 0], [0, 4, 4, 4, 4, 0, 4, 0, 4, 4]] -> [[0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 6, 0, 6, 0, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 6, 6, 6, 0, 6, 6, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 6, 6, 0, 0, 0, 0, 6, 6], [0, 6, 0, 0, 0, 6, 0, 0, 0, 0], [0, 6, 0, 0, 6, 0, 6, 6, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0, 0, 0], [6, 0, 6, 0, 6, 0, 6, 0, 6, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, 4, 0, 4, 0, 0, 4, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 4, 4], [4, 0, 0, 0, 0, 0, 0, 0, 4, 4], [4, 4, 4, 0, 0, 4, 0, 4, 4, 4], [4, 0, 0, 0, 0, 4, 4, 4, 4, 4], [4, 0, 4, 4, 4, 4, 4, 0, 4, 4], [4, 4, 4, 4, 0, 0, 4, 0, 0, 0], [0, 0, 0, 0, 0, 4, 0, 0, 4, 0], [0, 4, 4, 0, 0, 4, 4, 4, 4, 4], [4, 0, 4, 0, 4, 4, 0, 0, 4, 4]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            4,
+                            4,
+                            0,
+                            4,
+                            0,
+                            0,
+                            4,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            4,
+                            0,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            0,
+                            0,
+                            0,
+                            0,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            0,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            0,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            4,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            4,
+                            0,
+                            0,
+                            4,
+                            0
+                        ],
+                        [
+                            0,
+                            4,
+                            4,
+                            0,
+                            0,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            0,
+                            4,
+                            0,
+                            4,
+                            4,
+                            0,
+                            0,
+                            4,
+                            4
+                        ]
+                    ],
+                    "output": [
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            6,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6,
+                            6
+                        ]
+                    ]
+                }
+            },
+            "Replicate 2": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[2, 0, 2, 0, 2, 0, 0, 2, 2, 0], [0, 2, 0, 2, 0, 0, 0, 2, 2, 2], [2, 0, 2, 0, 0, 2, 0, 0, 2, 2], [0, 0, 0, 2, 2, 0, 2, 0, 2, 2], [2, 2, 2, 2, 2, 0, 0, 2, 2, 2], [2, 0, 0, 0, 0, 2, 2, 0, 0, 2], [0, 0, 0, 2, 2, 0, 2, 2, 0, 0], [0, 2, 2, 0, 0, 2, 0, 0, 2, 0], [0, 0, 0, 2, 2, 2, 2, 0, 0, 0], [0, 0, 2, 2, 2, 2, 0, 0, 0, 0], [0, 4, 0, 0, 0, 4, 4, 4, 4, 0], [0, 0, 0, 4, 0, 0, 4, 0, 4, 4], [4, 0, 0, 0, 4, 4, 4, 0, 0, 0], [4, 0, 0, 0, 0, 4, 0, 0, 0, 0], [0, 0, 0, 4, 0, 4, 4, 4, 0, 0], [4, 4, 0, 4, 4, 4, 0, 4, 0, 4], [0, 0, 4, 4, 0, 4, 0, 4, 4, 0], [0, 0, 4, 4, 0, 0, 0, 0, 0, 0], [4, 4, 4, 4, 0, 4, 0, 0, 4, 4], [0, 4, 0, 4, 4, 4, 0, 0, 0, 4]] -> [[0, 0, 0, 0, 0, 0, 0, 6, 6, 0], [0, 6, 0, 0, 0, 0, 6, 6, 0, 0], [6, 0, 0, 0, 0, 6, 0, 0, 0, 0], [6, 0, 0, 6, 6, 6, 6, 0, 6, 6], [0, 0, 0, 6, 0, 0, 0, 6, 0, 0], [0, 6, 0, 6, 6, 0, 6, 6, 0, 0], [0, 0, 0, 6, 0, 0, 0, 6, 0, 0], [0, 6, 0, 6, 0, 6, 0, 0, 6, 0], [0, 0, 0, 6, 0, 6, 0, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 6]]\nExample input-output arrays:\n[[2, 2, 2, 0, 2, 2, 0, 0, 2, 2], [0, 0, 2, 2, 0, 2, 2, 0, 0, 0], [2, 0, 2, 0, 0, 0, 0, 0, 2, 2], [2, 0, 0, 2, 0, 0, 2, 2, 2, 0], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [2, 2, 2, 2, 2, 0, 2, 2, 2, 0], [0, 0, 2, 0, 0, 2, 2, 0, 2, 0], [2, 2, 0, 0, 2, 2, 0, 0, 2, 2], [2, 2, 2, 0, 2, 0, 0, 2, 0, 2], [4, 0, 0, 4, 4, 4, 0, 4, 0, 0], [0, 4, 0, 0, 4, 4, 0, 0, 4, 4], [0, 4, 0, 4, 4, 0, 0, 4, 0, 4], [0, 4, 4, 0, 4, 4, 0, 0, 0, 0], [4, 0, 0, 4, 4, 4, 4, 4, 0, 4], [4, 4, 4, 0, 0, 0, 0, 0, 0, 0], [0, 0, 4, 4, 0, 4, 0, 0, 0, 4], [4, 4, 4, 0, 4, 4, 0, 4, 0, 4], [0, 0, 4, 0, 4, 4, 4, 4, 4, 4], [4, 0, 0, 4, 4, 4, 0, 4, 0, 4]] -> [[6, 0, 0, 0, 6, 6, 0, 0, 0, 0], [0, 6, 6, 6, 6, 0, 6, 0, 6, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 0], [6, 0, 0, 6, 6, 6, 6, 6, 0, 6], [6, 6, 6, 0, 6, 0, 0, 0, 0, 0], [0, 0, 6, 6, 0, 0, 0, 0, 0, 0], [6, 6, 0, 0, 6, 0, 6, 6, 6, 6], [0, 0, 0, 0, 6, 6, 0, 0, 6, 6], [0, 6, 6, 6, 0, 6, 0, 0, 0, 0]]\nExample input-output arrays:\n[[2, 2, 2, 0, 2, 2, 0, 0, 2, 2], [0, 0, 2, 2, 0, 2, 2, 0, 0, 0], [2, 0, 2, 0, 0, 0, 0, 0, 2, 2], [2, 0, 0, 2, 0, 0, 2, 2, 2, 0], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [2, 2, 2, 2, 2, 0, 2, 2, 2, 0], [0, 0, 2, 0, 0, 2, 2, 0, 2, 0], [2, 2, 0, 0, 2, 2, 0, 0, 2, 2], [2, 2, 2, 0, 2, 0, 0, 2, 0, 2], [4, 0, 0, 4, 4, 4, 0, 4, 0, 0], [0, 4, 0, 0, 4, 4, 0, 0, 4, 4], [0, 4, 0, 4, 4, 0, 0, 4, 0, 4], [0, 4, 4, 0, 4, 4, 0, 0, 0, 0], [4, 0, 0, 4, 4, 4, 4, 4, 0, 4], [4, 4, 4, 0, 0, 0, 0, 0, 0, 0], [0, 0, 4, 4, 0, 4, 0, 0, 0, 4], [4, 4, 4, 0, 4, 4, 0, 4, 0, 4], [0, 0, 4, 0, 4, 4, 4, 4, 4, 4], [4, 0, 0, 4, 4, 4, 0, 4, 0, 4]] -> [[6, 0, 0, 0, 6, 6, 0, 0, 0, 0], [0, 6, 6, 6, 6, 0, 6, 0, 6, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 0], [6, 0, 0, 6, 6, 6, 6, 6, 0, 6], [6, 6, 6, 0, 6, 0, 0, 0, 0, 0], [0, 0, 6, 6, 0, 0, 0, 0, 0, 0], [6, 6, 0, 0, 6, 0, 6, 6, 6, 6], [0, 0, 0, 0, 6, 6, 0, 0, 6, 6], [0, 6, 6, 6, 0, 6, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 4, 4, 4, 0, 0, 4, 0, 0, 4], [4, 4, 4, 4, 0, 4, 4, 0, 0, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4], [0, 4, 0, 4, 0, 4, 0, 4, 0, 4], [4, 0, 4, 4, 4, 0, 4, 0, 0, 0], [4, 4, 4, 0, 4, 4, 4, 4, 4, 0], [0, 0, 4, 0, 4, 0, 4, 4, 4, 4], [0, 0, 4, 4, 4, 0, 0, 4, 4, 4], [4, 0, 0, 0, 0, 0, 4, 0, 4, 0], [0, 4, 0, 4, 4, 0, 0, 0, 0, 4]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            4,
+                            0,
+                            0,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            0,
+                            4,
+                            4,
+                            0,
+                            0,
+                            4
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            4
+                        ],
+                        [
+                            0,
+                            4,
+                            0,
+                            4,
+                            0,
+                            4,
+                            0,
+                            4,
+                            0,
+                            4
+                        ],
+                        [
+                            4,
+                            0,
+                            4,
+                            4,
+                            4,
+                            0,
+                            4,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            0,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            4,
+                            0,
+                            4,
+                            0,
+                            4,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            0,
+                            0,
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            4,
+                            0,
+                            4,
+                            0
+                        ],
+                        [
+                            0,
+                            4,
+                            0,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0,
+                            4
+                        ]
+                    ],
+                    "output": [
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6
+                        ]
+                    ]
+                }
+            },
+            "Replicate 3": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[2, 0, 2, 0, 2, 0, 0, 2, 2, 0], [0, 2, 0, 2, 0, 0, 0, 2, 2, 2], [2, 0, 2, 0, 0, 2, 0, 0, 2, 2], [0, 0, 0, 2, 2, 0, 2, 0, 2, 2], [2, 2, 2, 2, 2, 0, 0, 2, 2, 2], [2, 0, 0, 0, 0, 2, 2, 0, 0, 2], [0, 0, 0, 2, 2, 0, 2, 2, 0, 0], [0, 2, 2, 0, 0, 2, 0, 0, 2, 0], [0, 0, 0, 2, 2, 2, 2, 0, 0, 0], [0, 0, 2, 2, 2, 2, 0, 0, 0, 0], [0, 4, 0, 0, 0, 4, 4, 4, 4, 0], [0, 0, 0, 4, 0, 0, 4, 0, 4, 4], [4, 0, 0, 0, 4, 4, 4, 0, 0, 0], [4, 0, 0, 0, 0, 4, 0, 0, 0, 0], [0, 0, 0, 4, 0, 4, 4, 4, 0, 0], [4, 4, 0, 4, 4, 4, 0, 4, 0, 4], [0, 0, 4, 4, 0, 4, 0, 4, 4, 0], [0, 0, 4, 4, 0, 0, 0, 0, 0, 0], [4, 4, 4, 4, 0, 4, 0, 0, 4, 4], [0, 4, 0, 4, 4, 4, 0, 0, 0, 4]] -> [[0, 0, 0, 0, 0, 0, 0, 6, 6, 0], [0, 6, 0, 0, 0, 0, 6, 6, 0, 0], [6, 0, 0, 0, 0, 6, 0, 0, 0, 0], [6, 0, 0, 6, 6, 6, 6, 0, 6, 6], [0, 0, 0, 6, 0, 0, 0, 6, 0, 0], [0, 6, 0, 6, 6, 0, 6, 6, 0, 0], [0, 0, 0, 6, 0, 0, 0, 6, 0, 0], [0, 6, 0, 6, 0, 6, 0, 0, 6, 0], [0, 0, 0, 6, 0, 6, 0, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 6]]\nExample input-output arrays:\n[[2, 0, 2, 0, 2, 0, 0, 2, 2, 0], [0, 2, 0, 2, 0, 0, 0, 2, 2, 2], [2, 0, 2, 0, 0, 2, 0, 0, 2, 2], [0, 0, 0, 2, 2, 0, 2, 0, 2, 2], [2, 2, 2, 2, 2, 0, 0, 2, 2, 2], [2, 0, 0, 0, 0, 2, 2, 0, 0, 2], [0, 0, 0, 2, 2, 0, 2, 2, 0, 0], [0, 2, 2, 0, 0, 2, 0, 0, 2, 0], [0, 0, 0, 2, 2, 2, 2, 0, 0, 0], [0, 0, 2, 2, 2, 2, 0, 0, 0, 0], [0, 4, 0, 0, 0, 4, 4, 4, 4, 0], [0, 0, 0, 4, 0, 0, 4, 0, 4, 4], [4, 0, 0, 0, 4, 4, 4, 0, 0, 0], [4, 0, 0, 0, 0, 4, 0, 0, 0, 0], [0, 0, 0, 4, 0, 4, 4, 4, 0, 0], [4, 4, 0, 4, 4, 4, 0, 4, 0, 4], [0, 0, 4, 4, 0, 4, 0, 4, 4, 0], [0, 0, 4, 4, 0, 0, 0, 0, 0, 0], [4, 4, 4, 4, 0, 4, 0, 0, 4, 4], [0, 4, 0, 4, 4, 4, 0, 0, 0, 4]] -> [[0, 0, 0, 0, 0, 0, 0, 6, 6, 0], [0, 6, 0, 0, 0, 0, 6, 6, 0, 0], [6, 0, 0, 0, 0, 6, 0, 0, 0, 0], [6, 0, 0, 6, 6, 6, 6, 0, 6, 6], [0, 0, 0, 6, 0, 0, 0, 6, 0, 0], [0, 6, 0, 6, 6, 0, 6, 6, 0, 0], [0, 0, 0, 6, 0, 0, 0, 6, 0, 0], [0, 6, 0, 6, 0, 6, 0, 0, 6, 0], [0, 0, 0, 6, 0, 6, 0, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 6]]\nExample input-output arrays:\n[[2, 2, 0, 2, 0, 0, 2, 0, 2, 0], [2, 0, 2, 2, 0, 2, 0, 0, 2, 2], [0, 2, 2, 2, 0, 2, 0, 0, 2, 2], [2, 0, 2, 2, 2, 2, 2, 0, 0, 0], [0, 0, 0, 2, 0, 2, 0, 0, 2, 2], [2, 2, 2, 0, 0, 2, 2, 2, 2, 0], [0, 2, 2, 0, 0, 2, 0, 2, 0, 2], [0, 2, 0, 0, 2, 0, 0, 2, 2, 2], [0, 2, 2, 2, 2, 2, 2, 0, 2, 2], [0, 0, 2, 0, 2, 0, 2, 2, 2, 0], [4, 4, 0, 4, 0, 0, 0, 4, 4, 0], [0, 0, 0, 4, 4, 4, 4, 0, 0, 0], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 4, 4, 0, 4, 4, 0, 0, 4], [4, 0, 4, 0, 0, 4, 4, 0, 0, 0], [4, 0, 0, 4, 4, 0, 4, 4, 4, 0], [4, 4, 4, 4, 0, 0, 0, 0, 0, 4], [0, 0, 4, 4, 0, 0, 0, 0, 0, 4], [0, 0, 4, 4, 0, 0, 0, 4, 0, 4], [0, 4, 0, 4, 0, 4, 0, 0, 0, 0]] -> [[6, 6, 0, 6, 0, 0, 0, 0, 6, 0], [6, 0, 6, 0, 6, 0, 6, 0, 6, 6], [0, 6, 6, 6, 0, 6, 0, 0, 6, 6], [6, 0, 0, 0, 6, 0, 0, 0, 0, 6], [0, 0, 0, 0, 0, 6, 0, 0, 0, 0], [0, 6, 6, 6, 6, 6, 0, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 6], [0, 6, 6, 6, 6, 0, 0, 6, 6, 0], [0, 0, 6, 6, 0, 0, 0, 0, 0, 6], [0, 6, 6, 6, 6, 6, 6, 6, 6, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[3, 3, 0, 3, 0, 0, 3, 0, 3, 0], [3, 0, 3, 3, 0, 3, 0, 0, 3, 3], [0, 3, 3, 3, 0, 3, 0, 0, 3, 3], [3, 0, 3, 3, 3, 3, 3, 0, 0, 0], [0, 0, 0, 3, 0, 3, 0, 0, 3, 3], [3, 3, 3, 0, 0, 3, 3, 3, 3, 0], [0, 3, 3, 0, 0, 3, 0, 3, 0, 3], [0, 3, 0, 0, 3, 0, 0, 3, 3, 3], [0, 3, 3, 3, 3, 3, 3, 0, 3, 3], [0, 0, 3, 0, 3, 0, 3, 3, 3, 0], [4, 4, 0, 4, 0, 0, 0, 4, 4, 0], [0, 0, 0, 4, 4, 4, 4, 0, 0, 0], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 4, 4, 0, 4, 4, 0, 0, 4], [4, 0, 4, 0, 0, 4, 4, 0, 0, 0], [4, 0, 0, 4, 4, 0, 4, 4, 4, 0], [4, 4, 4, 4, 0, 0, 0, 0, 0, 4], [0, 0, 4, 4, 0, 0, 0, 0, 0, 4], [0, 0, 4, 4, 0, 0, 0, 4, 0, 4], [0, 4, 0, 4, 0, 4, 0, 0, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0
+                        ],
+                        [
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3
+                        ],
+                        [
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0
+                        ],
+                        [
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3
+                        ],
+                        [
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0
+                        ],
+                        [
+                            4,
+                            4,
+                            0,
+                            4,
+                            0,
+                            0,
+                            0,
+                            4,
+                            4,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            4,
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            0,
+                            0,
+                            4,
+                            4,
+                            0,
+                            4,
+                            4,
+                            0,
+                            0,
+                            4
+                        ],
+                        [
+                            4,
+                            0,
+                            4,
+                            0,
+                            0,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            4,
+                            0,
+                            0,
+                            4,
+                            4,
+                            0,
+                            4,
+                            4,
+                            4,
+                            0
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            4
+                        ],
+                        [
+                            0,
+                            0,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            4
+                        ],
+                        [
+                            0,
+                            0,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            4,
+                            0,
+                            4
+                        ],
+                        [
+                            0,
+                            4,
+                            0,
+                            4,
+                            0,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0
+                        ]
+                    ],
+                    "output": [
+                        [
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0
+                        ],
+                        [
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            6,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6,
+                            6,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            6,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0
+                        ]
+                    ]
+                }
+            },
+            "Replicate 4": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 2, 2, 0, 2, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 2], [2, 2, 0, 0, 0, 2, 2, 2, 0, 2], [0, 0, 2, 2, 2, 2, 0, 2, 2, 0], [0, 0, 0, 0, 2, 0, 2, 0, 2, 2], [0, 2, 2, 0, 2, 2, 2, 0, 0, 2], [0, 2, 2, 2, 0, 2, 2, 0, 2, 0], [2, 0, 2, 2, 2, 2, 0, 2, 2, 2], [2, 0, 0, 0, 0, 0, 2, 0, 0, 2], [2, 2, 0, 2, 0, 0, 0, 0, 0, 2], [0, 4, 4, 0, 0, 4, 4, 0, 4, 0], [0, 0, 4, 4, 0, 0, 0, 0, 4, 4], [0, 0, 4, 4, 4, 0, 0, 0, 4, 0], [4, 4, 0, 0, 4, 0, 4, 0, 4, 0], [0, 4, 4, 4, 0, 4, 0, 4, 0, 0], [4, 4, 0, 4, 4, 4, 4, 0, 4, 0], [4, 4, 0, 0, 0, 4, 0, 0, 0, 4], [4, 4, 4, 4, 0, 4, 4, 0, 4, 4], [0, 4, 4, 0, 0, 0, 4, 0, 4, 0], [0, 4, 4, 4, 4, 0, 4, 0, 4, 4]] -> [[0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 6, 0, 6, 0, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 6, 6, 6, 0, 6, 6, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 6, 6, 0, 0, 0, 0, 6, 6], [0, 6, 0, 0, 0, 6, 0, 0, 0, 0], [0, 6, 0, 0, 6, 0, 6, 6, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0, 0, 0], [6, 0, 6, 0, 6, 0, 6, 0, 6, 0]]\nExample input-output arrays:\n[[2, 0, 0, 0, 2, 0, 2, 2, 2, 0], [0, 2, 0, 2, 2, 0, 2, 0, 0, 2], [2, 2, 2, 2, 2, 0, 2, 2, 2, 2], [2, 2, 2, 2, 0, 2, 0, 2, 2, 2], [0, 2, 2, 2, 2, 2, 2, 0, 0, 2], [0, 2, 0, 2, 0, 0, 2, 0, 2, 2], [0, 2, 2, 2, 2, 0, 2, 2, 2, 2], [0, 0, 2, 0, 2, 0, 0, 0, 0, 2], [0, 2, 0, 2, 0, 0, 2, 0, 0, 2], [0, 2, 0, 2, 2, 0, 0, 2, 0, 0], [0, 4, 0, 4, 0, 4, 4, 0, 4, 4], [4, 0, 0, 0, 0, 4, 0, 4, 0, 0], [0, 4, 4, 4, 0, 4, 0, 0, 0, 4], [0, 0, 4, 4, 4, 0, 0, 0, 4, 0], [0, 0, 4, 4, 0, 0, 0, 4, 0, 0], [4, 4, 4, 4, 0, 4, 0, 0, 4, 4], [0, 0, 4, 4, 4, 0, 4, 4, 4, 4], [0, 4, 0, 4, 4, 4, 0, 0, 0, 4], [4, 4, 0, 0, 4, 4, 4, 0, 0, 0], [0, 0, 4, 4, 0, 4, 4, 4, 4, 4]] -> [[0, 0, 0, 0, 0, 0, 6, 0, 6, 0], [6, 6, 0, 6, 6, 6, 6, 6, 0, 6], [0, 6, 6, 6, 0, 0, 0, 0, 0, 6], [6, 6, 0, 0, 6, 6, 0, 6, 0, 6], [0, 0, 6, 6, 0, 0, 0, 0, 0, 0], [6, 0, 6, 0, 0, 6, 6, 0, 0, 0], [0, 0, 6, 6, 6, 0, 6, 6, 6, 6], [0, 6, 6, 6, 0, 6, 0, 0, 0, 0], [0, 6, 0, 0, 0, 0, 6, 0, 0, 0], [0, 6, 6, 0, 6, 6, 6, 0, 6, 6]]\nExample input-output arrays:\n[[2, 2, 2, 0, 2, 2, 0, 0, 2, 2], [0, 0, 2, 2, 0, 2, 2, 0, 0, 0], [2, 0, 2, 0, 0, 0, 0, 0, 2, 2], [2, 0, 0, 2, 0, 0, 2, 2, 2, 0], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [2, 2, 2, 2, 2, 0, 2, 2, 2, 0], [0, 0, 2, 0, 0, 2, 2, 0, 2, 0], [2, 2, 0, 0, 2, 2, 0, 0, 2, 2], [2, 2, 2, 0, 2, 0, 0, 2, 0, 2], [4, 0, 0, 4, 4, 4, 0, 4, 0, 0], [0, 4, 0, 0, 4, 4, 0, 0, 4, 4], [0, 4, 0, 4, 4, 0, 0, 4, 0, 4], [0, 4, 4, 0, 4, 4, 0, 0, 0, 0], [4, 0, 0, 4, 4, 4, 4, 4, 0, 4], [4, 4, 4, 0, 0, 0, 0, 0, 0, 0], [0, 0, 4, 4, 0, 4, 0, 0, 0, 4], [4, 4, 4, 0, 4, 4, 0, 4, 0, 4], [0, 0, 4, 0, 4, 4, 4, 4, 4, 4], [4, 0, 0, 4, 4, 4, 0, 4, 0, 4]] -> [[6, 0, 0, 0, 6, 6, 0, 0, 0, 0], [0, 6, 6, 6, 6, 0, 6, 0, 6, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 0], [6, 0, 0, 6, 6, 6, 6, 6, 0, 6], [6, 6, 6, 0, 6, 0, 0, 0, 0, 0], [0, 0, 6, 6, 0, 0, 0, 0, 0, 0], [6, 6, 0, 0, 6, 0, 6, 6, 6, 6], [0, 0, 0, 0, 6, 6, 0, 0, 6, 6], [0, 6, 6, 6, 0, 6, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 4, 4, 4, 0, 0, 4, 0, 0, 4], [4, 4, 4, 4, 0, 4, 4, 0, 0, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4], [0, 4, 0, 4, 0, 4, 0, 4, 0, 4], [4, 0, 4, 4, 4, 0, 4, 0, 0, 0], [4, 4, 4, 0, 4, 4, 4, 4, 4, 0], [0, 0, 4, 0, 4, 0, 4, 4, 4, 4], [0, 0, 4, 4, 4, 0, 0, 4, 4, 4], [4, 0, 0, 0, 0, 0, 4, 0, 4, 0], [0, 4, 0, 4, 4, 0, 0, 0, 0, 4]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            4,
+                            0,
+                            0,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            0,
+                            4,
+                            4,
+                            0,
+                            0,
+                            4
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            4
+                        ],
+                        [
+                            0,
+                            4,
+                            0,
+                            4,
+                            0,
+                            4,
+                            0,
+                            4,
+                            0,
+                            4
+                        ],
+                        [
+                            4,
+                            0,
+                            4,
+                            4,
+                            4,
+                            0,
+                            4,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            0,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            4,
+                            0,
+                            4,
+                            0,
+                            4,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            0,
+                            0,
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            4,
+                            0,
+                            4,
+                            0
+                        ],
+                        [
+                            0,
+                            4,
+                            0,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0,
+                            4
+                        ]
+                    ],
+                    "output": [
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6
+                        ]
+                    ]
+                }
+            }
+        },
+        "L3": {
+            "Replicate 0": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[2, 0, 2, 0, 2, 0, 0, 2, 2, 0], [0, 2, 0, 2, 0, 0, 0, 2, 2, 2], [2, 0, 2, 0, 0, 2, 0, 0, 2, 2], [0, 0, 0, 2, 2, 0, 2, 0, 2, 2], [2, 2, 2, 2, 2, 0, 0, 2, 2, 2], [2, 0, 0, 0, 0, 2, 2, 0, 0, 2], [0, 0, 0, 2, 2, 0, 2, 2, 0, 0], [0, 2, 2, 0, 0, 2, 0, 0, 2, 0], [0, 0, 0, 2, 2, 2, 2, 0, 0, 0], [0, 0, 2, 2, 2, 2, 0, 0, 0, 0], [0, 4, 0, 0, 0, 4, 4, 4, 4, 0], [0, 0, 0, 4, 0, 0, 4, 0, 4, 4], [4, 0, 0, 0, 4, 4, 4, 0, 0, 0], [4, 0, 0, 0, 0, 4, 0, 0, 0, 0], [0, 0, 0, 4, 0, 4, 4, 4, 0, 0], [4, 4, 0, 4, 4, 4, 0, 4, 0, 4], [0, 0, 4, 4, 0, 4, 0, 4, 4, 0], [0, 0, 4, 4, 0, 0, 0, 0, 0, 0], [4, 4, 4, 4, 0, 4, 0, 0, 4, 4], [0, 4, 0, 4, 4, 4, 0, 0, 0, 4]] -> [[0, 0, 0, 0, 0, 0, 0, 6, 6, 0], [0, 6, 0, 0, 0, 0, 6, 6, 0, 0], [6, 0, 0, 0, 0, 6, 0, 0, 0, 0], [6, 0, 0, 6, 6, 6, 6, 0, 6, 6], [0, 0, 0, 6, 0, 0, 0, 6, 0, 0], [0, 6, 0, 6, 6, 0, 6, 6, 0, 0], [0, 0, 0, 6, 0, 0, 0, 6, 0, 0], [0, 6, 0, 6, 0, 6, 0, 0, 6, 0], [0, 0, 0, 6, 0, 6, 0, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 6]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 2, 0, 0, 2, 2, 0, 2, 0, 2], [0, 2, 0, 2, 0, 0, 2, 0, 2, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [2, 2, 0, 2, 0, 0, 0, 2, 0, 2], [0, 0, 2, 2, 2, 2, 0, 2, 0, 2], [0, 2, 2, 2, 0, 0, 2, 0, 2, 0], [0, 0, 2, 2, 0, 0, 0, 0, 0, 0], [2, 2, 2, 0, 2, 2, 0, 0, 0, 2], [2, 2, 2, 0, 0, 0, 2, 0, 0, 2], [2, 0, 0, 2, 0, 0, 2, 2, 2, 2], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4]] -> [[0, 6, 0, 0, 6, 6, 0, 6, 0, 6], [6, 0, 6, 0, 6, 6, 0, 6, 0, 6], [0, 0, 0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 6, 0, 6, 6, 6, 0, 6, 0], [0, 0, 6, 6, 6, 6, 0, 6, 0, 6], [6, 0, 0, 0, 6, 6, 0, 6, 0, 6], [0, 0, 6, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 6, 6, 6, 0], [6, 6, 6, 0, 0, 0, 6, 0, 0, 6], [0, 6, 6, 0, 6, 6, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 2, 2, 0, 2, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 2], [2, 2, 0, 0, 0, 2, 2, 2, 0, 2], [0, 0, 2, 2, 2, 2, 0, 2, 2, 0], [0, 0, 0, 0, 2, 0, 2, 0, 2, 2], [0, 2, 2, 0, 2, 2, 2, 0, 0, 2], [0, 2, 2, 2, 0, 2, 2, 0, 2, 0], [2, 0, 2, 2, 2, 2, 0, 2, 2, 2], [2, 0, 0, 0, 0, 0, 2, 0, 0, 2], [2, 2, 0, 2, 0, 0, 0, 0, 0, 2], [0, 4, 4, 0, 0, 4, 4, 0, 4, 0], [0, 0, 4, 4, 0, 0, 0, 0, 4, 4], [0, 0, 4, 4, 4, 0, 0, 0, 4, 0], [4, 4, 0, 0, 4, 0, 4, 0, 4, 0], [0, 4, 4, 4, 0, 4, 0, 4, 0, 0], [4, 4, 0, 4, 4, 4, 4, 0, 4, 0], [4, 4, 0, 0, 0, 4, 0, 0, 0, 4], [4, 4, 4, 4, 0, 4, 4, 0, 4, 4], [0, 4, 4, 0, 0, 0, 4, 0, 4, 0], [0, 4, 4, 4, 4, 0, 4, 0, 4, 4]] -> [[0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 6, 0, 6, 0, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 6, 6, 6, 0, 6, 6, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 6, 6, 0, 0, 0, 0, 6, 6], [0, 6, 0, 0, 0, 6, 0, 0, 0, 0], [0, 6, 0, 0, 6, 0, 6, 6, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0, 0, 0], [6, 0, 6, 0, 6, 0, 6, 0, 6, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 2, 0, 0, 2, 2, 2, 0, 2], [0, 0, 0, 0, 0, 0, 0, 2, 2, 0], [0, 0, 0, 0, 0, 0, 2, 2, 2, 2], [2, 0, 2, 2, 2, 2, 2, 2, 0, 2], [0, 2, 0, 0, 2, 0, 2, 0, 2, 0], [2, 2, 2, 2, 0, 2, 2, 2, 2, 0], [0, 2, 0, 0, 2, 2, 2, 2, 0, 0], [2, 0, 0, 2, 2, 0, 2, 2, 0, 0], [2, 2, 0, 0, 2, 0, 0, 0, 0, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2
+                        ],
+                        [
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0
+                        ],
+                        [
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0
+                        ],
+                        [
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            0,
+                            0
+                        ],
+                        [
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ]
+                    ],
+                    "output": [
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            6,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            6,
+                            0,
+                            0,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6
+                        ]
+                    ]
+                }
+            },
+            "Replicate 1": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 2, 2, 0, 2, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 2], [2, 2, 0, 0, 0, 2, 2, 2, 0, 2], [0, 0, 2, 2, 2, 2, 0, 2, 2, 0], [0, 0, 0, 0, 2, 0, 2, 0, 2, 2], [0, 2, 2, 0, 2, 2, 2, 0, 0, 2], [0, 2, 2, 2, 0, 2, 2, 0, 2, 0], [2, 0, 2, 2, 2, 2, 0, 2, 2, 2], [2, 0, 0, 0, 0, 0, 2, 0, 0, 2], [2, 2, 0, 2, 0, 0, 0, 0, 0, 2], [0, 4, 4, 0, 0, 4, 4, 0, 4, 0], [0, 0, 4, 4, 0, 0, 0, 0, 4, 4], [0, 0, 4, 4, 4, 0, 0, 0, 4, 0], [4, 4, 0, 0, 4, 0, 4, 0, 4, 0], [0, 4, 4, 4, 0, 4, 0, 4, 0, 0], [4, 4, 0, 4, 4, 4, 4, 0, 4, 0], [4, 4, 0, 0, 0, 4, 0, 0, 0, 4], [4, 4, 4, 4, 0, 4, 4, 0, 4, 4], [0, 4, 4, 0, 0, 0, 4, 0, 4, 0], [0, 4, 4, 4, 4, 0, 4, 0, 4, 4]] -> [[0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 6, 0, 6, 0, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 6, 6, 6, 0, 6, 6, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 6, 6, 0, 0, 0, 0, 6, 6], [0, 6, 0, 0, 0, 6, 0, 0, 0, 0], [0, 6, 0, 0, 6, 0, 6, 6, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0, 0, 0], [6, 0, 6, 0, 6, 0, 6, 0, 6, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 3, 3, 0, 3, 0, 0, 0, 0, 0], [3, 0, 3, 0, 0, 3, 0, 0, 0, 3], [3, 3, 0, 0, 0, 3, 3, 3, 0, 3], [0, 0, 3, 3, 3, 3, 0, 3, 3, 0], [0, 0, 0, 0, 3, 0, 3, 0, 3, 3], [0, 3, 3, 0, 3, 3, 3, 0, 0, 3], [0, 3, 3, 3, 0, 3, 3, 0, 3, 0], [3, 0, 3, 3, 3, 3, 0, 3, 3, 3], [3, 0, 0, 0, 0, 0, 3, 0, 0, 3], [3, 3, 0, 3, 0, 0, 0, 0, 0, 3], [0, 4, 4, 0, 0, 4, 4, 0, 4, 0], [0, 0, 4, 4, 0, 0, 0, 0, 4, 4], [0, 0, 4, 4, 4, 0, 0, 0, 4, 0], [4, 4, 0, 0, 4, 0, 4, 0, 4, 0], [0, 4, 4, 4, 0, 4, 0, 4, 0, 0], [4, 4, 0, 4, 4, 4, 4, 0, 4, 0], [4, 4, 0, 0, 0, 4, 0, 0, 0, 4], [4, 4, 4, 4, 0, 4, 4, 0, 4, 4], [0, 4, 4, 0, 0, 0, 4, 0, 4, 0], [0, 4, 4, 4, 4, 0, 4, 0, 4, 4]] -> [[0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 6, 0, 6, 0, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 6, 6, 6, 0, 6, 6, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 6, 6, 0, 0, 0, 0, 6, 6], [0, 6, 0, 0, 0, 6, 0, 0, 0, 0], [0, 6, 0, 0, 6, 0, 6, 6, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0, 0, 0], [6, 0, 6, 0, 6, 0, 6, 0, 6, 0]]\nExample input-output arrays:\n[[2, 0, 0, 0, 2, 0, 2, 2, 2, 0], [0, 2, 0, 2, 2, 0, 2, 0, 0, 2], [2, 2, 2, 2, 2, 0, 2, 2, 2, 2], [2, 2, 2, 2, 0, 2, 0, 2, 2, 2], [0, 2, 2, 2, 2, 2, 2, 0, 0, 2], [0, 2, 0, 2, 0, 0, 2, 0, 2, 2], [0, 2, 2, 2, 2, 0, 2, 2, 2, 2], [0, 0, 2, 0, 2, 0, 0, 0, 0, 2], [0, 2, 0, 2, 0, 0, 2, 0, 0, 2], [0, 2, 0, 2, 2, 0, 0, 2, 0, 0], [0, 4, 0, 4, 0, 4, 4, 0, 4, 4], [4, 0, 0, 0, 0, 4, 0, 4, 0, 0], [0, 4, 4, 4, 0, 4, 0, 0, 0, 4], [0, 0, 4, 4, 4, 0, 0, 0, 4, 0], [0, 0, 4, 4, 0, 0, 0, 4, 0, 0], [4, 4, 4, 4, 0, 4, 0, 0, 4, 4], [0, 0, 4, 4, 4, 0, 4, 4, 4, 4], [0, 4, 0, 4, 4, 4, 0, 0, 0, 4], [4, 4, 0, 0, 4, 4, 4, 0, 0, 0], [0, 0, 4, 4, 0, 4, 4, 4, 4, 4]] -> [[0, 0, 0, 0, 0, 0, 6, 0, 6, 0], [6, 6, 0, 6, 6, 6, 6, 6, 0, 6], [0, 6, 6, 6, 0, 0, 0, 0, 0, 6], [6, 6, 0, 0, 6, 6, 0, 6, 0, 6], [0, 0, 6, 6, 0, 0, 0, 0, 0, 0], [6, 0, 6, 0, 0, 6, 6, 0, 0, 0], [0, 0, 6, 6, 6, 0, 6, 6, 6, 6], [0, 6, 6, 6, 0, 6, 0, 0, 0, 0], [0, 6, 0, 0, 0, 0, 6, 0, 0, 0], [0, 6, 6, 0, 6, 6, 6, 0, 6, 6]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[2, 2, 0, 0, 2, 0, 2, 2, 2, 0], [2, 2, 0, 2, 0, 0, 2, 0, 2, 0], [2, 2, 2, 0, 2, 0, 2, 2, 2, 0], [2, 2, 0, 2, 0, 0, 2, 0, 2, 0], [2, 2, 0, 0, 0, 0, 0, 0, 0, 0], [2, 2, 2, 0, 0, 2, 0, 2, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 2], [2, 0, 0, 2, 2, 0, 2, 0, 0, 2], [2, 0, 2, 0, 0, 0, 2, 2, 0, 2], [2, 2, 0, 0, 2, 0, 2, 0, 2, 0], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0
+                        ],
+                        [
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0
+                        ],
+                        [
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0
+                        ],
+                        [
+                            2,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            2,
+                            2,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            2
+                        ],
+                        [
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4
+                        ]
+                    ],
+                    "output": [
+                        [
+                            6,
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0,
+                            6
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0
+                        ],
+                        [
+                            6,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            6,
+                            6,
+                            0,
+                            6
+                        ],
+                        [
+                            0,
+                            0,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6
+                        ]
+                    ]
+                }
+            },
+            "Replicate 2": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[2, 2, 2, 0, 2, 2, 0, 0, 2, 2], [0, 0, 2, 2, 0, 2, 2, 0, 0, 0], [2, 0, 2, 0, 0, 0, 0, 0, 2, 2], [2, 0, 0, 2, 0, 0, 2, 2, 2, 0], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [2, 2, 2, 2, 2, 0, 2, 2, 2, 0], [0, 0, 2, 0, 0, 2, 2, 0, 2, 0], [2, 2, 0, 0, 2, 2, 0, 0, 2, 2], [2, 2, 2, 0, 2, 0, 0, 2, 0, 2], [4, 0, 0, 4, 4, 4, 0, 4, 0, 0], [0, 4, 0, 0, 4, 4, 0, 0, 4, 4], [0, 4, 0, 4, 4, 0, 0, 4, 0, 4], [0, 4, 4, 0, 4, 4, 0, 0, 0, 0], [4, 0, 0, 4, 4, 4, 4, 4, 0, 4], [4, 4, 4, 0, 0, 0, 0, 0, 0, 0], [0, 0, 4, 4, 0, 4, 0, 0, 0, 4], [4, 4, 4, 0, 4, 4, 0, 4, 0, 4], [0, 0, 4, 0, 4, 4, 4, 4, 4, 4], [4, 0, 0, 4, 4, 4, 0, 4, 0, 4]] -> [[6, 0, 0, 0, 6, 6, 0, 0, 0, 0], [0, 6, 6, 6, 6, 0, 6, 0, 6, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 0], [6, 0, 0, 6, 6, 6, 6, 6, 0, 6], [6, 6, 6, 0, 6, 0, 0, 0, 0, 0], [0, 0, 6, 6, 0, 0, 0, 0, 0, 0], [6, 6, 0, 0, 6, 0, 6, 6, 6, 6], [0, 0, 0, 0, 6, 6, 0, 0, 6, 6], [0, 6, 6, 6, 0, 6, 0, 0, 0, 0]]\nExample input-output arrays:\n[[2, 2, 2, 0, 2, 2, 0, 0, 2, 2], [0, 0, 2, 2, 0, 2, 2, 0, 0, 0], [2, 0, 2, 0, 0, 0, 0, 0, 2, 2], [2, 0, 0, 2, 0, 0, 2, 2, 2, 0], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [2, 2, 2, 2, 2, 0, 2, 2, 2, 0], [0, 0, 2, 0, 0, 2, 2, 0, 2, 0], [2, 2, 0, 0, 2, 2, 0, 0, 2, 2], [2, 2, 2, 0, 2, 0, 0, 2, 0, 2], [4, 0, 0, 4, 4, 4, 0, 4, 0, 0], [0, 4, 0, 0, 4, 4, 0, 0, 4, 4], [0, 4, 0, 4, 4, 0, 0, 4, 0, 4], [0, 4, 4, 0, 4, 4, 0, 0, 0, 0], [4, 0, 0, 4, 4, 4, 4, 4, 0, 4], [4, 4, 4, 0, 0, 0, 0, 0, 0, 0], [0, 0, 4, 4, 0, 4, 0, 0, 0, 4], [4, 4, 4, 0, 4, 4, 0, 4, 0, 4], [0, 0, 4, 0, 4, 4, 4, 4, 4, 4], [4, 0, 0, 4, 4, 4, 0, 4, 0, 4]] -> [[6, 0, 0, 0, 6, 6, 0, 0, 0, 0], [0, 6, 6, 6, 6, 0, 6, 0, 6, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 0], [6, 0, 0, 6, 6, 6, 6, 6, 0, 6], [6, 6, 6, 0, 6, 0, 0, 0, 0, 0], [0, 0, 6, 6, 0, 0, 0, 0, 0, 0], [6, 6, 0, 0, 6, 0, 6, 6, 6, 6], [0, 0, 0, 0, 6, 6, 0, 0, 6, 6], [0, 6, 6, 6, 0, 6, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[8, 8, 8, 0, 8, 8, 0, 0, 8, 8], [0, 0, 8, 8, 0, 8, 8, 0, 0, 0], [8, 0, 8, 0, 0, 0, 0, 0, 8, 8], [8, 0, 0, 8, 0, 0, 8, 8, 8, 0], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [0, 0, 0, 0, 8, 0, 0, 0, 0, 0], [8, 8, 8, 8, 8, 0, 8, 8, 8, 0], [0, 0, 8, 0, 0, 8, 8, 0, 8, 0], [8, 8, 0, 0, 8, 8, 0, 0, 8, 8], [8, 8, 8, 0, 8, 0, 0, 8, 0, 8], [4, 0, 0, 4, 4, 4, 0, 4, 0, 0], [0, 4, 0, 0, 4, 4, 0, 0, 4, 4], [0, 4, 0, 4, 4, 0, 0, 4, 0, 4], [0, 4, 4, 0, 4, 4, 0, 0, 0, 0], [4, 0, 0, 4, 4, 4, 4, 4, 0, 4], [4, 4, 4, 0, 0, 0, 0, 0, 0, 0], [0, 0, 4, 4, 0, 4, 0, 0, 0, 4], [4, 4, 4, 0, 4, 4, 0, 4, 0, 4], [0, 0, 4, 0, 4, 4, 4, 4, 4, 4], [4, 0, 0, 4, 4, 4, 0, 4, 0, 4]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            8,
+                            8,
+                            8,
+                            0,
+                            8,
+                            8,
+                            0,
+                            0,
+                            8,
+                            8
+                        ],
+                        [
+                            0,
+                            0,
+                            8,
+                            8,
+                            0,
+                            8,
+                            8,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            8,
+                            0,
+                            8,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            8,
+                            8
+                        ],
+                        [
+                            8,
+                            0,
+                            0,
+                            8,
+                            0,
+                            0,
+                            8,
+                            8,
+                            8,
+                            0
+                        ],
+                        [
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            8,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            0,
+                            8,
+                            8,
+                            8,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            8,
+                            0,
+                            0,
+                            8,
+                            8,
+                            0,
+                            8,
+                            0
+                        ],
+                        [
+                            8,
+                            8,
+                            0,
+                            0,
+                            8,
+                            8,
+                            0,
+                            0,
+                            8,
+                            8
+                        ],
+                        [
+                            8,
+                            8,
+                            8,
+                            0,
+                            8,
+                            0,
+                            0,
+                            8,
+                            0,
+                            8
+                        ],
+                        [
+                            4,
+                            0,
+                            0,
+                            4,
+                            4,
+                            4,
+                            0,
+                            4,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            4,
+                            0,
+                            0,
+                            4,
+                            4,
+                            0,
+                            0,
+                            4,
+                            4
+                        ],
+                        [
+                            0,
+                            4,
+                            0,
+                            4,
+                            4,
+                            0,
+                            0,
+                            4,
+                            0,
+                            4
+                        ],
+                        [
+                            0,
+                            4,
+                            4,
+                            0,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            4,
+                            0,
+                            0,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            0,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            4,
+                            4,
+                            0,
+                            4,
+                            0,
+                            0,
+                            0,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            0,
+                            4,
+                            4,
+                            0,
+                            4,
+                            0,
+                            4
+                        ],
+                        [
+                            0,
+                            0,
+                            4,
+                            0,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            0,
+                            0,
+                            4,
+                            4,
+                            4,
+                            0,
+                            4,
+                            0,
+                            4
+                        ]
+                    ],
+                    "output": [
+                        [
+                            6,
+                            0,
+                            0,
+                            0,
+                            6,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0
+                        ],
+                        [
+                            6,
+                            0,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            6,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            6,
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0
+                        ]
+                    ]
+                }
+            },
+            "Replicate 3": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 2, 2, 0, 2, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 2], [2, 2, 0, 0, 0, 2, 2, 2, 0, 2], [0, 0, 2, 2, 2, 2, 0, 2, 2, 0], [0, 0, 0, 0, 2, 0, 2, 0, 2, 2], [0, 2, 2, 0, 2, 2, 2, 0, 0, 2], [0, 2, 2, 2, 0, 2, 2, 0, 2, 0], [2, 0, 2, 2, 2, 2, 0, 2, 2, 2], [2, 0, 0, 0, 0, 0, 2, 0, 0, 2], [2, 2, 0, 2, 0, 0, 0, 0, 0, 2], [0, 4, 4, 0, 0, 4, 4, 0, 4, 0], [0, 0, 4, 4, 0, 0, 0, 0, 4, 4], [0, 0, 4, 4, 4, 0, 0, 0, 4, 0], [4, 4, 0, 0, 4, 0, 4, 0, 4, 0], [0, 4, 4, 4, 0, 4, 0, 4, 0, 0], [4, 4, 0, 4, 4, 4, 4, 0, 4, 0], [4, 4, 0, 0, 0, 4, 0, 0, 0, 4], [4, 4, 4, 4, 0, 4, 4, 0, 4, 4], [0, 4, 4, 0, 0, 0, 4, 0, 4, 0], [0, 4, 4, 4, 4, 0, 4, 0, 4, 4]] -> [[0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 6, 0, 6, 0, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 6, 6, 6, 0, 6, 6, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 6, 6, 0, 0, 0, 0, 6, 6], [0, 6, 0, 0, 0, 6, 0, 0, 0, 0], [0, 6, 0, 0, 6, 0, 6, 6, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0, 0, 0], [6, 0, 6, 0, 6, 0, 6, 0, 6, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing the causal function for some elements.\n[[2, 0, 0, 2, 0, 2, 2, 2, 2, 2], [0, 2, 0, 2, 2, 0, 2, 2, 2, 0], [0, 0, 2, 2, 2, 0, 0, 0, 2, 0], [2, 2, 0, 0, 0, 0, 2, 0, 0, 2], [2, 2, 2, 2, 0, 2, 0, 2, 0, 0], [2, 0, 0, 2, 0, 0, 0, 2, 2, 0], [2, 0, 0, 0, 2, 0, 0, 2, 0, 2], [0, 2, 0, 0, 0, 0, 2, 0, 0, 0], [0, 2, 2, 2, 2, 2, 0, 2, 2, 0], [0, 0, 2, 0, 2, 2, 2, 2, 2, 0], [4, 4, 4, 0, 0, 4, 0, 0, 4, 4], [0, 4, 4, 0, 4, 4, 4, 0, 4, 0], [0, 0, 4, 0, 4, 0, 4, 4, 0, 0], [0, 4, 4, 0, 4, 0, 0, 0, 4, 0], [0, 0, 4, 4, 4, 0, 0, 4, 0, 4], [0, 4, 0, 0, 0, 0, 0, 4, 0, 0], [0, 0, 4, 4, 4, 4, 4, 0, 4, 4], [0, 4, 0, 4, 0, 4, 0, 0, 0, 0], [0, 0, 0, 4, 4, 4, 4, 0, 4, 4], [0, 0, 0, 0, 4, 0, 0, 0, 0, 0]] -> [[6, 0, 0, 0, 0, 6, 0, 0, 6, 6], [0, 0, 6, 6, 0, 6, 0, 6, 0, 0], [0, 0, 6, 0, 6, 0, 0, 0, 0, 0], [6, 0, 6, 0, 6, 0, 6, 0, 6, 6], [0, 0, 6, 6, 0, 0, 0, 6, 0, 0], [6, 6, 0, 6, 0, 0, 0, 0, 6, 0], [0, 0, 0, 0, 6, 0, 0, 0, 0, 6], [0, 0, 0, 6, 0, 6, 6, 0, 0, 0], [0, 0, 0, 6, 6, 6, 0, 0, 6, 0], [0, 0, 6, 0, 0, 6, 6, 6, 6, 0]]\nExample input-output arrays:\n[[2, 2, 0, 2, 0, 0, 2, 0, 2, 0], [2, 0, 2, 2, 0, 2, 0, 0, 2, 2], [0, 2, 2, 2, 0, 2, 0, 0, 2, 2], [2, 0, 2, 2, 2, 2, 2, 0, 0, 0], [0, 0, 0, 2, 0, 2, 0, 0, 2, 2], [2, 2, 2, 0, 0, 2, 2, 2, 2, 0], [0, 2, 2, 0, 0, 2, 0, 2, 0, 2], [0, 2, 0, 0, 2, 0, 0, 2, 2, 2], [0, 2, 2, 2, 2, 2, 2, 0, 2, 2], [0, 0, 2, 0, 2, 0, 2, 2, 2, 0], [4, 4, 0, 4, 0, 0, 0, 4, 4, 0], [0, 0, 0, 4, 4, 4, 4, 0, 0, 0], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 4, 4, 0, 4, 4, 0, 0, 4], [4, 0, 4, 0, 0, 4, 4, 0, 0, 0], [4, 0, 0, 4, 4, 0, 4, 4, 4, 0], [4, 4, 4, 4, 0, 0, 0, 0, 0, 4], [0, 0, 4, 4, 0, 0, 0, 0, 0, 4], [0, 0, 4, 4, 0, 0, 0, 4, 0, 4], [0, 4, 0, 4, 0, 4, 0, 0, 0, 0]] -> [[6, 6, 0, 6, 0, 0, 0, 0, 6, 0], [6, 0, 6, 0, 6, 0, 6, 0, 6, 6], [0, 6, 6, 6, 0, 6, 0, 0, 6, 6], [6, 0, 0, 0, 6, 0, 0, 0, 0, 6], [0, 0, 0, 0, 0, 6, 0, 0, 0, 0], [0, 6, 6, 6, 6, 6, 0, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 6], [0, 6, 6, 6, 6, 0, 0, 6, 6, 0], [0, 0, 6, 6, 0, 0, 0, 0, 0, 6], [0, 6, 6, 6, 6, 6, 6, 6, 6, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing the causal function for some elements.\n[[0, 0, 2, 0, 2, 2, 0, 2, 0, 2], [0, 2, 0, 0, 2, 0, 2, 2, 0, 0], [2, 0, 0, 0, 2, 0, 2, 2, 0, 0], [0, 2, 0, 0, 0, 0, 0, 2, 2, 2], [2, 2, 2, 0, 2, 0, 2, 2, 0, 0], [0, 0, 0, 2, 2, 0, 0, 0, 0, 2], [2, 0, 0, 2, 2, 0, 2, 0, 2, 0], [2, 0, 2, 2, 0, 2, 2, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 2, 0, 0], [2, 2, 0, 2, 0, 2, 0, 0, 0, 2], [0, 0, 0, 0, 0, 0, 0, 4, 4, 0], [4, 4, 4, 0, 0, 0, 0, 4, 0, 4], [0, 4, 0, 4, 4, 4, 4, 4, 0, 0], [4, 4, 0, 0, 4, 0, 0, 0, 0, 0], [0, 0, 4, 4, 4, 0, 0, 0, 4, 0], [4, 0, 4, 0, 4, 4, 0, 0, 0, 0], [0, 0, 0, 0, 0, 4, 0, 0, 0, 0], [4, 4, 4, 0, 0, 4, 4, 4, 4, 0], [0, 4, 0, 0, 0, 4, 4, 4, 4, 4], [4, 4, 0, 0, 0, 0, 0, 0, 4, 4]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            0,
+                            0,
+                            2,
+                            0,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2
+                        ],
+                        [
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            2,
+                            2,
+                            0,
+                            0
+                        ],
+                        [
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            2,
+                            2,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            2,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2
+                        ],
+                        [
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0
+                        ],
+                        [
+                            2,
+                            0,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0
+                        ],
+                        [
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            4,
+                            4,
+                            0
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0,
+                            4,
+                            0,
+                            4
+                        ],
+                        [
+                            0,
+                            4,
+                            0,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            0,
+                            0
+                        ],
+                        [
+                            4,
+                            4,
+                            0,
+                            0,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            4,
+                            0
+                        ],
+                        [
+                            4,
+                            0,
+                            4,
+                            0,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            4,
+                            4,
+                            4,
+                            4,
+                            0
+                        ],
+                        [
+                            0,
+                            4,
+                            0,
+                            0,
+                            0,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            4,
+                            4
+                        ]
+                    ],
+                    "output": [
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0
+                        ],
+                        [
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0,
+                            6
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0,
+                            0
+                        ],
+                        [
+                            6,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            6,
+                            0,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            6
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            6,
+                            6,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0,
+                            6,
+                            0
+                        ]
+                    ]
+                }
+            },
+            "Replicate 4": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 2, 2, 0, 2, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 2], [2, 2, 0, 0, 0, 2, 2, 2, 0, 2], [0, 0, 2, 2, 2, 2, 0, 2, 2, 0], [0, 0, 0, 0, 2, 0, 2, 0, 2, 2], [0, 2, 2, 0, 2, 2, 2, 0, 0, 2], [0, 2, 2, 2, 0, 2, 2, 0, 2, 0], [2, 0, 2, 2, 2, 2, 0, 2, 2, 2], [2, 0, 0, 0, 0, 0, 2, 0, 0, 2], [2, 2, 0, 2, 0, 0, 0, 0, 0, 2], [0, 4, 4, 0, 0, 4, 4, 0, 4, 0], [0, 0, 4, 4, 0, 0, 0, 0, 4, 4], [0, 0, 4, 4, 4, 0, 0, 0, 4, 0], [4, 4, 0, 0, 4, 0, 4, 0, 4, 0], [0, 4, 4, 4, 0, 4, 0, 4, 0, 0], [4, 4, 0, 4, 4, 4, 4, 0, 4, 0], [4, 4, 0, 0, 0, 4, 0, 0, 0, 4], [4, 4, 4, 4, 0, 4, 4, 0, 4, 4], [0, 4, 4, 0, 0, 0, 4, 0, 4, 0], [0, 4, 4, 4, 4, 0, 4, 0, 4, 4]] -> [[0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 6, 0, 6, 0, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 6, 6, 6, 0, 6, 6, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 6, 6, 0, 0, 0, 0, 6, 6], [0, 6, 0, 0, 0, 6, 0, 0, 0, 0], [0, 6, 0, 0, 6, 0, 6, 6, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0, 0, 0], [6, 0, 6, 0, 6, 0, 6, 0, 6, 0]]\nExample input-output arrays:\n[[0, 2, 2, 0, 2, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 0, 0, 2], [2, 2, 0, 0, 0, 2, 2, 2, 0, 2], [0, 0, 2, 2, 2, 2, 0, 2, 2, 0], [0, 0, 0, 0, 2, 0, 2, 0, 2, 2], [0, 2, 2, 0, 2, 2, 2, 0, 0, 2], [0, 2, 2, 2, 0, 2, 2, 0, 2, 0], [2, 0, 2, 2, 2, 2, 0, 2, 2, 2], [2, 0, 0, 0, 0, 0, 2, 0, 0, 2], [2, 2, 0, 2, 0, 0, 0, 0, 0, 2], [0, 4, 4, 0, 0, 4, 4, 0, 4, 0], [0, 0, 4, 4, 0, 0, 0, 0, 4, 4], [0, 0, 4, 4, 4, 0, 0, 0, 4, 0], [4, 4, 0, 0, 4, 0, 4, 0, 4, 0], [0, 4, 4, 4, 0, 4, 0, 4, 0, 0], [4, 4, 0, 4, 4, 4, 4, 0, 4, 0], [4, 4, 0, 0, 0, 4, 0, 0, 0, 4], [4, 4, 4, 4, 0, 4, 4, 0, 4, 4], [0, 4, 4, 0, 0, 0, 4, 0, 4, 0], [0, 4, 4, 4, 4, 0, 4, 0, 4, 4]] -> [[0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 6, 0, 6, 0, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 6, 6, 6, 0, 6, 6, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 6, 6, 0, 0, 0, 0, 6, 6], [0, 6, 0, 0, 0, 6, 0, 0, 0, 0], [0, 6, 0, 0, 6, 0, 6, 6, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0, 0, 0], [6, 0, 6, 0, 6, 0, 6, 0, 6, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 2, 2, 2, 2, 2, 0, 0, 0, 0], [2, 2, 0, 2, 2, 0, 0, 2, 0, 2], [2, 0, 0, 0, 2, 2, 2, 0, 0, 0], [0, 0, 2, 2, 2, 0, 2, 0, 2, 0], [2, 2, 2, 0, 0, 2, 2, 2, 2, 0], [0, 0, 2, 0, 2, 2, 2, 2, 2, 2], [0, 2, 0, 0, 0, 2, 0, 0, 0, 0], [2, 2, 2, 0, 0, 2, 0, 0, 2, 0], [2, 2, 0, 0, 2, 2, 0, 2, 2, 0], [0, 0, 0, 2, 0, 0, 2, 0, 2, 2], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            2
+                        ],
+                        [
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0
+                        ],
+                        [
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            2,
+                            2
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4
+                        ]
+                    ],
+                    "output": [
+                        [
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0
+                        ],
+                        [
+                            6,
+                            0,
+                            0,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            6,
+                            6,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0
+                        ],
+                        [
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            0,
+                            0,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0
+                        ]
+                    ]
+                }
+            }
+        }
+    },
+    "SCMu3am!and!xor!axis0!15x15": {
+        "L1": {
+            "Replicate 0": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0], [1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1], [0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1], [1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1], [0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1], [1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0], [0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1], [1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0], [0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1], [1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0], [1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0], [1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0], [0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0], [1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1], [1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0], [2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2], [2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2], [2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2], [2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0], [2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0], [0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2], [2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2], [0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0], [0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0], [2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2], [0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0], [0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0], [0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0], [2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0], [0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0]] -> [[3, 3, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0], [0, 3, 0, 0, 0, 0, 3, 3, 0, 3, 3, 3, 0, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 3], [0, 3, 0, 0, 3, 3, 0, 3, 0, 3, 3, 3, 3, 3, 3], [0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0], [3, 0, 0, 3, 0, 0, 3, 3, 3, 0, 0, 0, 0, 3, 3], [0, 3, 0, 3, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 3], [3, 3, 3, 0, 3, 0, 0, 3, 3, 3, 3, 3, 3, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 3, 0], [0, 3, 3, 0, 3, 0, 3, 3, 0, 3, 0, 0, 3, 3, 3], [0, 0, 3, 0, 0, 0, 0, 3, 0, 0, 0, 0, 3, 0, 0], [3, 3, 0, 3, 3, 0, 0, 3, 3, 0, 3, 3, 0, 3, 0], [0, 3, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0], [0, 3, 0, 0, 0, 0, 3, 0, 0, 3, 0, 0, 3, 3, 3], [0, 0, 0, 0, 0, 0, 0, 3, 0, 3, 0, 0, 3, 3, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1], [1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0], [1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0], [0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1], [1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1], [0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1], [1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1], [1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0], [0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0], [1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1], [1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0], [1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1], [1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1], [2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0], [0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0], [2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2], [0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0], [0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0], [0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0], [0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2], [0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2], [2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0], [2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2], [2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2], [0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2]] -> [[0, 0, 0, 0, 0, 3, 0, 3, 0, 0, 0, 0, 0, 0, 0], [3, 3, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0], [3, 3, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 3, 0, 0, 3, 0, 3, 0, 0, 0, 3, 0, 3, 0, 3], [0, 0, 3, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 3, 3, 0, 0, 0, 3, 3, 0, 0, 0, 3], [0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 3, 0, 3, 0, 3, 0, 3, 3, 0, 3, 3, 3], [0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 3, 0, 3, 0, 0], [0, 3, 3, 0, 0, 3, 0, 3, 0, 0, 3, 3, 0, 3, 3], [3, 3, 0, 3, 0, 3, 0, 3, 0, 0, 3, 0, 0, 0, 0], [0, 0, 0, 3, 0, 0, 0, 3, 3, 3, 0, 0, 0, 3, 0], [3, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 3, 0, 0, 3, 0, 0, 0, 0, 0, 3], [0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 3]]\nExample input-output arrays:\n[[1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0], [1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1], [0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1], [1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1], [0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1], [1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0], [0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1], [1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0], [0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1], [1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0], [1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0], [1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0], [0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0], [1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1], [1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0], [2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2], [2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2], [2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2], [2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0], [2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0], [0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2], [2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2], [0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0], [0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0], [2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2], [0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0], [0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0], [0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0], [2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0], [0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0]] -> [[3, 3, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0], [0, 3, 0, 0, 0, 0, 3, 3, 0, 3, 3, 3, 0, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 3], [0, 3, 0, 0, 3, 3, 0, 3, 0, 3, 3, 3, 3, 3, 3], [0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0], [3, 0, 0, 3, 0, 0, 3, 3, 3, 0, 0, 0, 0, 3, 3], [0, 3, 0, 3, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 3], [3, 3, 3, 0, 3, 0, 0, 3, 3, 3, 3, 3, 3, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 3, 0], [0, 3, 3, 0, 3, 0, 3, 3, 0, 3, 0, 0, 3, 3, 3], [0, 0, 3, 0, 0, 0, 0, 3, 0, 0, 0, 0, 3, 0, 0], [3, 3, 0, 3, 3, 0, 0, 3, 3, 0, 3, 3, 0, 3, 0], [0, 3, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0], [0, 3, 0, 0, 0, 0, 3, 0, 0, 3, 0, 0, 3, 3, 3], [0, 0, 0, 0, 0, 0, 0, 3, 0, 3, 0, 0, 3, 3, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1], [1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1], [0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0], [1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1], [1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1], [0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0], [1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0], [0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0], [1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0], [1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1], [1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1], [1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1], [0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]] -> ",
+                "test": {
+                    "input": [
+                        [
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+                        [
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+                        [
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+                        ],
+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        ],
+                        [
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+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
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+                        [
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+                        [
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+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
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+                        [
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+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ]
+                    ],
+                    "output": [
+                        [
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+                            0,
+                            3,
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3
+                        ],
+                        [
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0
+                        ]
+                    ]
+                }
+            },
+            "Replicate 1": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0], [0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1], [1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1], [0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0], [1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0], [1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1], [1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0], [1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1], [1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0], [1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0], [0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0], [0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1], [0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0], [1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1], [0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1], [2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0], [2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0], [0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2], [2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2], [0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2], [2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2], [0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0], [0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0], [2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2], [2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0], [2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0], [0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2], [2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2], [2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0]] -> [[0, 0, 0, 3, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0], [3, 3, 0, 3, 3, 0, 3, 0, 3, 0, 0, 0, 0, 0, 3], [0, 0, 0, 0, 0, 3, 0, 0, 3, 0, 0, 0, 3, 0, 0], [0, 3, 0, 3, 0, 0, 3, 3, 3, 0, 3, 0, 3, 0, 3], [3, 0, 3, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0], [3, 3, 0, 0, 3, 0, 3, 0, 3, 3, 3, 3, 0, 0, 0], [3, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3, 3, 0, 3, 3, 0, 3, 3, 0, 3, 3, 0, 3, 3], [0, 0, 3, 0, 3, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0], [0, 0, 0, 3, 3, 0, 3, 0, 0, 3, 0, 3, 3, 0, 3], [0, 0, 3, 0, 0, 0, 0, 3, 0, 0, 0, 0, 3, 3, 0], [3, 0, 0, 0, 0, 0, 3, 3, 3, 0, 3, 3, 0, 3, 3], [0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 3, 3, 0, 3, 0], [0, 0, 3, 3, 3, 0, 0, 3, 3, 3, 3, 3, 3, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1], [1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0], [1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0], [0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1], [1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1], [0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1], [1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1], [1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0], [0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0], [1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1], [1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0], [1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1], [1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1], [2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0], [0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0], [2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2], [0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0], [0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0], [0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0], [0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2], [0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2], [2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0], [2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2], [2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2], [0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2]] -> [[0, 0, 0, 0, 0, 3, 0, 3, 0, 0, 0, 0, 0, 0, 0], [3, 3, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0], [3, 3, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 3, 0, 0, 3, 0, 3, 0, 0, 0, 3, 0, 3, 0, 3], [0, 0, 3, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 3, 3, 0, 0, 0, 3, 3, 0, 0, 0, 3], [0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 3, 0, 3, 0, 3, 0, 3, 3, 0, 3, 3, 3], [0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 3, 0, 3, 0, 0], [0, 3, 3, 0, 0, 3, 0, 3, 0, 0, 3, 3, 0, 3, 3], [3, 3, 0, 3, 0, 3, 0, 3, 0, 0, 3, 0, 0, 0, 0], [0, 0, 0, 3, 0, 0, 0, 3, 3, 3, 0, 0, 0, 3, 0], [3, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 3, 0, 0, 3, 0, 0, 0, 0, 0, 3], [0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 3]]\nExample input-output arrays:\n[[1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1], [1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1], [0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0], [0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0], [1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1], [1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1], [0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1], [0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0], [1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0], [0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1], [0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1], [0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0], [1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1], [1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0], [0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1], [0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0], [2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0], [0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2], [0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2], [2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0], [0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0], [0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2], [2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2], [2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2], [0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0], [0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0], [2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2], [0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0], [0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2]] -> [[0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 3, 3, 0], [0, 3, 0, 0, 3, 0, 0, 0, 0, 0, 3, 0, 0, 3, 3], [0, 0, 0, 0, 3, 0, 0, 0, 0, 3, 0, 3, 0, 0, 0], [0, 3, 0, 0, 3, 0, 0, 0, 3, 3, 0, 3, 0, 3, 3], [3, 3, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 3, 0, 0], [3, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0, 3, 0, 3, 0], [0, 0, 0, 0, 3, 3, 3, 0, 3, 0, 0, 0, 0, 0, 0], [0, 0, 0, 3, 0, 0, 3, 3, 0, 3, 0, 0, 3, 3, 3], [3, 3, 0, 3, 0, 0, 0, 3, 0, 3, 0, 0, 0, 0, 0], [3, 3, 0, 3, 3, 0, 3, 3, 0, 0, 3, 3, 0, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0], [0, 0, 3, 3, 0, 0, 3, 0, 3, 3, 3, 3, 0, 0, 0], [3, 3, 0, 3, 0, 0, 0, 3, 0, 3, 3, 0, 0, 0, 3], [3, 3, 0, 0, 3, 0, 0, 3, 0, 3, 0, 0, 0, 3, 0], [0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3]]\nCounterfactual: Now imagine that we intervened on the previous input by changing the causal function for some elements.\n[[0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0], [0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0], [1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1], [1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1], [0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0], [0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0], [1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0], [1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1], [0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1], [1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0], [1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0], [1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1], [0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0], [0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1], [1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0], [2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2], [2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2], [2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0], [2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2], [0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2], [2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2], [0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0], [2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0], [2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0], [2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0], [2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2], [2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2], [2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0], [0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0], [2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            0,
+                            1,
+                            1,
+                            0,
+                            1,
+                            1,
+                            1,
+                            0,
+                            1,
+                            1,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            1,
+                            1,
+                            0,
+                            1,
+                            0,
+                            0,
+                            0,
+                            0,
+                            1,
+                            0,
+                            1,
+                            1,
+                            1,
+                            0
+                        ],
+                        [
+                            1,
+                            1,
+                            1,
+                            1,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            1,
+                            1,
+                            1
+                        ],
+                        [
+                            1,
+                            1,
+                            0,
+                            1,
+                            0,
+                            0,
+                            1,
+                            1,
+                            0,
+                            1,
+                            0,
+                            1,
+                            0,
+                            0,
+                            1
+                        ],
+                        [
+                            0,
+                            0,
+                            1,
+                            0,
+                            0,
+                            0,
+                            0,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            1,
+                            0,
+                            0,
+                            0,
+                            1,
+                            1,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            1,
+                            1,
+                            0
+                        ],
+                        [
+                            1,
+                            1,
+                            1,
+                            1,
+                            0,
+                            0,
+                            0,
+                            1,
+                            0,
+                            0,
+                            1,
+                            1,
+                            1,
+                            1,
+                            0
+                        ],
+                        [
+                            1,
+                            1,
+                            0,
+                            0,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            0,
+                            1,
+                            1,
+                            1
+                        ],
+                        [
+                            0,
+                            0,
+                            1,
+                            0,
+                            1,
+                            1,
+                            0,
+                            0,
+                            0,
+                            0,
+                            1,
+                            0,
+                            0,
+                            1,
+                            1
+                        ],
+                        [
+                            1,
+                            1,
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+                            1,
+                            1,
+                            1,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            1,
+                            1,
+                            1,
+                            0
+                        ],
+                        [
+                            1,
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+                            1,
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+                            0,
+                            1,
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+                            0,
+                            0,
+                            1,
+                            0
+                        ],
+                        [
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+                            0,
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+                        ],
+                        [
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+                            1,
+                            1,
+                            1,
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+                        ],
+                        [
+                            0,
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+                            0,
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+                            1,
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+                        ],
+                        [
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+                            0,
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+                            1,
+                            0,
+                            1,
+                            0,
+                            1,
+                            1,
+                            0,
+                            0
+                        ],
+                        [
+                            2,
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+                            0,
+                            2,
+                            0,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
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+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            2
+                        ],
+                        [
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+                    "output": [
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+            "Replicate 2": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1], [1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0], [1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0], [0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1], [1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1], [0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1], [1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1], [1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0], [0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0], [1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1], [1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0], [1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1], [1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1], [2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0], [0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0], [2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2], [0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0], [0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0], [0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0], [0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2], [0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2], [2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0], [2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2], [2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2], [0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2]] -> [[0, 0, 0, 0, 0, 3, 0, 3, 0, 0, 0, 0, 0, 0, 0], [3, 3, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0], [3, 3, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 3, 0, 0, 3, 0, 3, 0, 0, 0, 3, 0, 3, 0, 3], [0, 0, 3, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 3, 3, 0, 0, 0, 3, 3, 0, 0, 0, 3], [0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 3, 0, 3, 0, 3, 0, 3, 3, 0, 3, 3, 3], [0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 3, 0, 3, 0, 0], [0, 3, 3, 0, 0, 3, 0, 3, 0, 0, 3, 3, 0, 3, 3], [3, 3, 0, 3, 0, 3, 0, 3, 0, 0, 3, 0, 0, 0, 0], [0, 0, 0, 3, 0, 0, 0, 3, 3, 3, 0, 0, 0, 3, 0], [3, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 3, 0, 0, 3, 0, 0, 0, 0, 0, 3], [0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 3]]\nExample input-output arrays:\n[[1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1], [1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1], [0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0], [0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0], [1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1], [1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1], [0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1], [0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0], [1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0], [0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1], [0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1], [0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0], [1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1], [1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0], [0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1], [0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0], [2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0], [0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2], [0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2], [2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0], [0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0], [0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2], [2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2], [2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2], [0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0], [0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0], [2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2], [0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0], [0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2]] -> [[0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 3, 3, 0], [0, 3, 0, 0, 3, 0, 0, 0, 0, 0, 3, 0, 0, 3, 3], [0, 0, 0, 0, 3, 0, 0, 0, 0, 3, 0, 3, 0, 0, 0], [0, 3, 0, 0, 3, 0, 0, 0, 3, 3, 0, 3, 0, 3, 3], [3, 3, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 3, 0, 0], [3, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0, 3, 0, 3, 0], [0, 0, 0, 0, 3, 3, 3, 0, 3, 0, 0, 0, 0, 0, 0], [0, 0, 0, 3, 0, 0, 3, 3, 0, 3, 0, 0, 3, 3, 3], [3, 3, 0, 3, 0, 0, 0, 3, 0, 3, 0, 0, 0, 0, 0], [3, 3, 0, 3, 3, 0, 3, 3, 0, 0, 3, 3, 0, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0], [0, 0, 3, 3, 0, 0, 3, 0, 3, 3, 3, 3, 0, 0, 0], [3, 3, 0, 3, 0, 0, 0, 3, 0, 3, 3, 0, 0, 0, 3], [3, 3, 0, 0, 3, 0, 0, 3, 0, 3, 0, 0, 0, 3, 0], [0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3]]\nExample input-output arrays:\n[[1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0], [1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1], [0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1], [1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1], [0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1], [1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0], [0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1], [1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0], [0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1], [1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0], [1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0], [1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0], [0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0], [1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1], [1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0], [2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2], [2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2], [2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2], [2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0], [2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0], [0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2], [2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2], [0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0], [0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0], [2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2], [0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0], [0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0], [0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0], [2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0], [0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0]] -> [[3, 3, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0], [0, 3, 0, 0, 0, 0, 3, 3, 0, 3, 3, 3, 0, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 3], [0, 3, 0, 0, 3, 3, 0, 3, 0, 3, 3, 3, 3, 3, 3], [0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0], [3, 0, 0, 3, 0, 0, 3, 3, 3, 0, 0, 0, 0, 3, 3], [0, 3, 0, 3, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 3], [3, 3, 3, 0, 3, 0, 0, 3, 3, 3, 3, 3, 3, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 3, 0], [0, 3, 3, 0, 3, 0, 3, 3, 0, 3, 0, 0, 3, 3, 3], [0, 0, 3, 0, 0, 0, 0, 3, 0, 0, 0, 0, 3, 0, 0], [3, 3, 0, 3, 3, 0, 0, 3, 3, 0, 3, 3, 0, 3, 0], [0, 3, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0], [0, 3, 0, 0, 0, 0, 3, 0, 0, 3, 0, 0, 3, 3, 3], [0, 0, 0, 0, 0, 0, 0, 3, 0, 3, 0, 0, 3, 3, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[5, 5, 0, 0, 5, 5, 0, 0, 0, 0, 0, 5, 5, 5, 0], [5, 0, 0, 5, 0, 0, 0, 0, 5, 5, 5, 5, 0, 5, 5], [0, 0, 0, 5, 0, 0, 0, 5, 0, 5, 5, 5, 0, 0, 5], [5, 5, 5, 0, 5, 5, 0, 5, 0, 0, 5, 5, 5, 0, 5], [0, 5, 0, 5, 5, 0, 5, 0, 5, 5, 0, 5, 5, 0, 5], [5, 5, 0, 0, 5, 0, 0, 5, 5, 0, 0, 0, 5, 5, 0], [0, 5, 0, 5, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 5], [5, 0, 0, 5, 5, 5, 5, 0, 5, 5, 5, 0, 0, 5, 0], [0, 0, 0, 5, 0, 5, 0, 0, 5, 5, 0, 0, 0, 5, 5], [5, 5, 5, 0, 5, 5, 5, 0, 5, 5, 0, 5, 0, 0, 0], [5, 0, 5, 0, 5, 0, 0, 5, 5, 0, 5, 5, 5, 0, 0], [5, 0, 5, 0, 0, 0, 0, 5, 0, 5, 0, 5, 5, 5, 0], [0, 5, 0, 0, 0, 0, 0, 5, 0, 5, 0, 0, 0, 0, 0], [5, 0, 5, 5, 5, 0, 5, 5, 5, 0, 0, 5, 0, 5, 5], [5, 5, 0, 5, 5, 0, 5, 5, 0, 5, 5, 0, 5, 5, 0], [2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2], [2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2], [2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2], [2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0], [2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0], [0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2], [2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2], [0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0], [0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0], [2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2], [0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0], [0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0], [0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0], [2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0], [0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            5,
+                            5,
+                            0,
+                            0,
+                            5,
+                            5,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            5,
+                            5,
+                            5,
+                            0
+                        ],
+                        [
+                            5,
+                            0,
+                            0,
+                            5,
+                            0,
+                            0,
+                            0,
+                            0,
+                            5,
+                            5,
+                            5,
+                            5,
+                            0,
+                            5,
+                            5
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            5,
+                            0,
+                            0,
+                            0,
+                            5,
+                            0,
+                            5,
+                            5,
+                            5,
+                            0,
+                            0,
+                            5
+                        ],
+                        [
+                            5,
+                            5,
+                            5,
+                            0,
+                            5,
+                            5,
+                            0,
+                            5,
+                            0,
+                            0,
+                            5,
+                            5,
+                            5,
+                            0,
+                            5
+                        ],
+                        [
+                            0,
+                            5,
+                            0,
+                            5,
+                            5,
+                            0,
+                            5,
+                            0,
+                            5,
+                            5,
+                            0,
+                            5,
+                            5,
+                            0,
+                            5
+                        ],
+                        [
+                            5,
+                            5,
+                            0,
+                            0,
+                            5,
+                            0,
+                            0,
+                            5,
+                            5,
+                            0,
+                            0,
+                            0,
+                            5,
+                            5,
+                            0
+                        ],
+                        [
+                            0,
+                            5,
+                            0,
+                            5,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            5,
+                            5,
+                            5,
+                            0,
+                            0,
+                            5
+                        ],
+                        [
+                            5,
+                            0,
+                            0,
+                            5,
+                            5,
+                            5,
+                            5,
+                            0,
+                            5,
+                            5,
+                            5,
+                            0,
+                            0,
+                            5,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            5,
+                            0,
+                            5,
+                            0,
+                            0,
+                            5,
+                            5,
+                            0,
+                            0,
+                            0,
+                            5,
+                            5
+                        ],
+                        [
+                            5,
+                            5,
+                            5,
+                            0,
+                            5,
+                            5,
+                            5,
+                            0,
+                            5,
+                            5,
+                            0,
+                            5,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            5,
+                            0,
+                            5,
+                            0,
+                            5,
+                            0,
+                            0,
+                            5,
+                            5,
+                            0,
+                            5,
+                            5,
+                            5,
+                            0,
+                            0
+                        ],
+                        [
+                            5,
+                            0,
+                            5,
+                            0,
+                            0,
+                            0,
+                            0,
+                            5,
+                            0,
+                            5,
+                            0,
+                            5,
+                            5,
+                            5,
+                            0
+                        ],
+                        [
+                            0,
+                            5,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            5,
+                            0,
+                            5,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            5,
+                            0,
+                            5,
+                            5,
+                            5,
+                            0,
+                            5,
+                            5,
+                            5,
+                            0,
+                            0,
+                            5,
+                            0,
+                            5,
+                            5
+                        ],
+                        [
+                            5,
+                            5,
+                            0,
+                            5,
+                            5,
+                            0,
+                            5,
+                            5,
+                            0,
+                            5,
+                            5,
+                            0,
+                            5,
+                            5,
+                            0
+                        ],
+                        [
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0
+                        ],
+                        [
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0
+                        ],
+                        [
+                            0,
+                            2,
+                            0,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0
+                        ],
+                        [
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0
+                        ],
+                        [
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0
+                        ]
+                    ],
+                    "output": [
+                        [
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3
+                        ],
+                        [
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0
+                        ],
+                        [
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3
+                        ],
+                        [
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0
+                        ],
+                        [
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0
+                        ],
+                        [
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0
+                        ],
+                        [
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0
+                        ]
+                    ]
+                }
+            },
+            "Replicate 3": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1], [1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0], [1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0], [0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1], [1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1], [0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1], [1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1], [1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0], [0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0], [1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1], [1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0], [1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1], [1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1], [2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0], [0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0], [2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2], [0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0], [0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0], [0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0], [0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2], [0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2], [2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0], [2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2], [2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2], [0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2]] -> [[0, 0, 0, 0, 0, 3, 0, 3, 0, 0, 0, 0, 0, 0, 0], [3, 3, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0], [3, 3, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 3, 0, 0, 3, 0, 3, 0, 0, 0, 3, 0, 3, 0, 3], [0, 0, 3, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 3, 3, 0, 0, 0, 3, 3, 0, 0, 0, 3], [0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 3, 0, 3, 0, 3, 0, 3, 3, 0, 3, 3, 3], [0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 3, 0, 3, 0, 0], [0, 3, 3, 0, 0, 3, 0, 3, 0, 0, 3, 3, 0, 3, 3], [3, 3, 0, 3, 0, 3, 0, 3, 0, 0, 3, 0, 0, 0, 0], [0, 0, 0, 3, 0, 0, 0, 3, 3, 3, 0, 0, 0, 3, 0], [3, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 3, 0, 0, 3, 0, 0, 0, 0, 0, 3], [0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 3]]\nExample input-output arrays:\n[[1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0], [1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1], [0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1], [1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1], [0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1], [1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0], [0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1], [1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0], [0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1], [1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0], [1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0], [1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0], [0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0], [1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1], [1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0], [2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2], [2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2], [2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2], [2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0], [2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0], [0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2], [2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2], [0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0], [0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0], [2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2], [0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0], [0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0], [0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0], [2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0], [0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0]] -> [[3, 3, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0], [0, 3, 0, 0, 0, 0, 3, 3, 0, 3, 3, 3, 0, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 3], [0, 3, 0, 0, 3, 3, 0, 3, 0, 3, 3, 3, 3, 3, 3], [0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0], [3, 0, 0, 3, 0, 0, 3, 3, 3, 0, 0, 0, 0, 3, 3], [0, 3, 0, 3, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 3], [3, 3, 3, 0, 3, 0, 0, 3, 3, 3, 3, 3, 3, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 3, 0], [0, 3, 3, 0, 3, 0, 3, 3, 0, 3, 0, 0, 3, 3, 3], [0, 0, 3, 0, 0, 0, 0, 3, 0, 0, 0, 0, 3, 0, 0], [3, 3, 0, 3, 3, 0, 0, 3, 3, 0, 3, 3, 0, 3, 0], [0, 3, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0], [0, 3, 0, 0, 0, 0, 3, 0, 0, 3, 0, 0, 3, 3, 3], [0, 0, 0, 0, 0, 0, 0, 3, 0, 3, 0, 0, 3, 3, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1], [1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0], [1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0], [0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1], [1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1], [0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1], [1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1], [1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0], [0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0], [1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1], [1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0], [1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1], [1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1], [2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0], [0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0], [2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2], [0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0], [0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0], [0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0], [0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2], [0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2], [2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0], [2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2], [2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2], [0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2]] -> [[0, 0, 0, 0, 0, 3, 0, 3, 0, 0, 0, 0, 0, 0, 0], [3, 3, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0], [3, 3, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 3, 0, 0, 3, 0, 3, 0, 0, 0, 3, 0, 3, 0, 3], [0, 0, 3, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 3, 3, 0, 0, 0, 3, 3, 0, 0, 0, 3], [0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 3, 0, 3, 0, 3, 0, 3, 3, 0, 3, 3, 3], [0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 3, 0, 3, 0, 0], [0, 3, 3, 0, 0, 3, 0, 3, 0, 0, 3, 3, 0, 3, 3], [3, 3, 0, 3, 0, 3, 0, 3, 0, 0, 3, 0, 0, 0, 0], [0, 0, 0, 3, 0, 0, 0, 3, 3, 3, 0, 0, 0, 3, 0], [3, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 3, 0, 0, 3, 0, 0, 0, 0, 0, 3], [0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 3]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0], [0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2], [2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2], [2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2], [2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0], [2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2], [2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0], [2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2], [2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2], [0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0], [2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2], [2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2], [2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
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+                            1,
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+                        ],
+                        [
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+                        ],
+                        [
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+                        ],
+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0
+                        ],
+                        [
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            0
+                        ]
+                    ],
+                    "output": [
+                        [
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3
+                        ],
+                        [
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3
+                        ],
+                        [
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0
+                        ],
+                        [
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3
+                        ],
+                        [
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0
+                        ],
+                        [
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0
+                        ]
+                    ]
+                }
+            },
+            "Replicate 4": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1], [1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0], [1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0], [0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1], [1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1], [0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1], [1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1], [1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0], [0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0], [1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1], [1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0], [1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1], [1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1], [2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0], [0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0], [2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2], [0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0], [0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0], [0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0], [0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2], [0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2], [2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0], [2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2], [2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2], [0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2]] -> [[0, 0, 0, 0, 0, 3, 0, 3, 0, 0, 0, 0, 0, 0, 0], [3, 3, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0], [3, 3, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 3, 0, 0, 3, 0, 3, 0, 0, 0, 3, 0, 3, 0, 3], [0, 0, 3, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 3, 3, 0, 0, 0, 3, 3, 0, 0, 0, 3], [0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 3, 0, 3, 0, 3, 0, 3, 3, 0, 3, 3, 3], [0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 3, 0, 3, 0, 0], [0, 3, 3, 0, 0, 3, 0, 3, 0, 0, 3, 3, 0, 3, 3], [3, 3, 0, 3, 0, 3, 0, 3, 0, 0, 3, 0, 0, 0, 0], [0, 0, 0, 3, 0, 0, 0, 3, 3, 3, 0, 0, 0, 3, 0], [3, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 3, 0, 0, 3, 0, 0, 0, 0, 0, 3], [0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 3]]\nExample input-output arrays:\n[[1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1], [1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1], [0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0], [0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0], [1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1], [1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1], [0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1], [0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0], [1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0], [0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1], [0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1], [0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0], [1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1], [1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0], [0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1], [0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0], [2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0], [0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2], [0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2], [2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0], [0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0], [0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2], [2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2], [2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2], [0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0], [0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0], [2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2], [0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0], [0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2]] -> [[0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 3, 3, 0], [0, 3, 0, 0, 3, 0, 0, 0, 0, 0, 3, 0, 0, 3, 3], [0, 0, 0, 0, 3, 0, 0, 0, 0, 3, 0, 3, 0, 0, 0], [0, 3, 0, 0, 3, 0, 0, 0, 3, 3, 0, 3, 0, 3, 3], [3, 3, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 3, 0, 0], [3, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0, 3, 0, 3, 0], [0, 0, 0, 0, 3, 3, 3, 0, 3, 0, 0, 0, 0, 0, 0], [0, 0, 0, 3, 0, 0, 3, 3, 0, 3, 0, 0, 3, 3, 3], [3, 3, 0, 3, 0, 0, 0, 3, 0, 3, 0, 0, 0, 0, 0], [3, 3, 0, 3, 3, 0, 3, 3, 0, 0, 3, 3, 0, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0], [0, 0, 3, 3, 0, 0, 3, 0, 3, 3, 3, 3, 0, 0, 0], [3, 3, 0, 3, 0, 0, 0, 3, 0, 3, 3, 0, 0, 0, 3], [3, 3, 0, 0, 3, 0, 0, 3, 0, 3, 0, 0, 0, 3, 0], [0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3]]\nExample input-output arrays:\n[[1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0], [1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1], [0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1], [1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1], [0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1], [1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0], [0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1], [1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0], [0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1], [1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0], [1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0], [1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0], [0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0], [1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1], [1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0], [2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2], [2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2], [2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2], [2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0], [2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0], [0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2], [2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2], [0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0], [0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0], [2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2], [0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0], [0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0], [0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0], [2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0], [0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0]] -> [[3, 3, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0], [0, 3, 0, 0, 0, 0, 3, 3, 0, 3, 3, 3, 0, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 3], [0, 3, 0, 0, 3, 3, 0, 3, 0, 3, 3, 3, 3, 3, 3], [0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0], [3, 0, 0, 3, 0, 0, 3, 3, 3, 0, 0, 0, 0, 3, 3], [0, 3, 0, 3, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 3], [3, 3, 3, 0, 3, 0, 0, 3, 3, 3, 3, 3, 3, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 3, 0], [0, 3, 3, 0, 3, 0, 3, 3, 0, 3, 0, 0, 3, 3, 3], [0, 0, 3, 0, 0, 0, 0, 3, 0, 0, 0, 0, 3, 0, 0], [3, 3, 0, 3, 3, 0, 0, 3, 3, 0, 3, 3, 0, 3, 0], [0, 3, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0], [0, 3, 0, 0, 0, 0, 3, 0, 0, 3, 0, 0, 3, 3, 3], [0, 0, 0, 0, 0, 0, 0, 3, 0, 3, 0, 0, 3, 3, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1], [1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1], [0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0], [1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1], [1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1], [0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0], [1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0], [0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0], [1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0], [1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1], [1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1], [1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1], [0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            0,
+                            1,
+                            1,
+                            0,
+                            0,
+                            0,
+                            0,
+                            1,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            1
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            1,
+                            0,
+                            1,
+                            1,
+                            0,
+                            0,
+                            0,
+                            0,
+                            1,
+                            1,
+                            1,
+                            1
+                        ],
+                        [
+                            1,
+                            1,
+                            0,
+                            0,
+                            1,
+                            1,
+                            0,
+                            1,
+                            0,
+                            0,
+                            0,
+                            1,
+                            0,
+                            0,
+                            1
+                        ],
+                        [
+                            0,
+                            1,
+                            1,
+                            0,
+                            1,
+                            0,
+                            1,
+                            1,
+                            0,
+                            0,
+                            1,
+                            1,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            1,
+                            1,
+                            1,
+                            1,
+                            0,
+                            0,
+                            0,
+                            1,
+                            1,
+                            1,
+                            1,
+                            0,
+                            1,
+                            0,
+                            1
+                        ],
+                        [
+                            1,
+                            1,
+                            1,
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+        },
+        "L3": {
+            "Replicate 0": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0], [0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1], [1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1], [0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0], [1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0], [1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1], [1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0], [1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1], [1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0], [1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0], [0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0], [0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1], [0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0], [1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1], [0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1], [2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0], [2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0], [0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2], [2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2], [0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2], [2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2], [0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0], [0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0], [2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2], [2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0], [2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0], [0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2], [2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2], [2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0]] -> [[0, 0, 0, 3, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0], [3, 3, 0, 3, 3, 0, 3, 0, 3, 0, 0, 0, 0, 0, 3], [0, 0, 0, 0, 0, 3, 0, 0, 3, 0, 0, 0, 3, 0, 0], [0, 3, 0, 3, 0, 0, 3, 3, 3, 0, 3, 0, 3, 0, 3], [3, 0, 3, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0], [3, 3, 0, 0, 3, 0, 3, 0, 3, 3, 3, 3, 0, 0, 0], [3, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3, 3, 0, 3, 3, 0, 3, 3, 0, 3, 3, 0, 3, 3], [0, 0, 3, 0, 3, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0], [0, 0, 0, 3, 3, 0, 3, 0, 0, 3, 0, 3, 3, 0, 3], [0, 0, 3, 0, 0, 0, 0, 3, 0, 0, 0, 0, 3, 3, 0], [3, 0, 0, 0, 0, 0, 3, 3, 3, 0, 3, 3, 0, 3, 3], [0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 3, 3, 0, 3, 0], [0, 0, 3, 3, 3, 0, 0, 3, 3, 3, 3, 3, 3, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1], [0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1], [0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1], [1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1], [0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1], [1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0], [1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1], [1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1], [0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1], [1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0], [0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1], [1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1], [0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0], [1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1], [0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]] -> [[0, 3, 3, 0, 3, 0, 0, 0, 0, 3, 0, 3, 3, 0, 3], [3, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0], [0, 3, 3, 3, 3, 0, 3, 0, 0, 3, 3, 3, 3, 3, 3], [0, 3, 0, 0, 3, 0, 3, 0, 3, 3, 3, 0, 0, 0, 0], [0, 3, 0, 3, 3, 0, 0, 3, 3, 3, 0, 0, 3, 0, 3], [0, 0, 3, 0, 0, 0, 3, 3, 3, 0, 3, 0, 0, 0, 3], [3, 3, 0, 3, 3, 3, 0, 3, 0, 0, 0, 0, 0, 3, 3], [0, 3, 0, 3, 0, 3, 3, 3, 3, 3, 0, 3, 3, 3, 0], [0, 3, 0, 0, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 3], [0, 3, 0, 0, 0, 0, 3, 0, 3, 3, 0, 3, 3, 0, 3], [0, 3, 0, 3, 3, 0, 0, 0, 3, 0, 0, 3, 0, 0, 3], [0, 0, 3, 3, 3, 3, 3, 0, 3, 0, 0, 3, 0, 3, 0], [0, 3, 3, 3, 3, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0], [0, 0, 3, 0, 3, 3, 3, 0, 3, 3, 0, 3, 3, 3, 0], [0, 3, 0, 3, 0, 3, 3, 3, 3, 0, 0, 0, 3, 3, 3]]\nExample input-output arrays:\n[[1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1], [1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1], [0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0], [0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0], [1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1], [1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1], [0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1], [0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0], [1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0], [0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1], [0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1], [0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0], [1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1], [1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0], [0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1], [0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0], [2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0], [0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2], [0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2], [2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0], [0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0], [0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2], [2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2], [2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2], [0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0], [0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0], [2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2], [0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0], [0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2]] -> [[0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 3, 3, 0], [0, 3, 0, 0, 3, 0, 0, 0, 0, 0, 3, 0, 0, 3, 3], [0, 0, 0, 0, 3, 0, 0, 0, 0, 3, 0, 3, 0, 0, 0], [0, 3, 0, 0, 3, 0, 0, 0, 3, 3, 0, 3, 0, 3, 3], [3, 3, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 3, 0, 0], [3, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0, 3, 0, 3, 0], [0, 0, 0, 0, 3, 3, 3, 0, 3, 0, 0, 0, 0, 0, 0], [0, 0, 0, 3, 0, 0, 3, 3, 0, 3, 0, 0, 3, 3, 3], [3, 3, 0, 3, 0, 0, 0, 3, 0, 3, 0, 0, 0, 0, 0], [3, 3, 0, 3, 3, 0, 3, 3, 0, 0, 3, 3, 0, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0], [0, 0, 3, 3, 0, 0, 3, 0, 3, 3, 3, 3, 0, 0, 0], [3, 3, 0, 3, 0, 0, 0, 3, 0, 3, 3, 0, 0, 0, 3], [3, 3, 0, 0, 3, 0, 0, 3, 0, 3, 0, 0, 0, 3, 0], [0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[6, 0, 0, 6, 0, 0, 0, 6, 0, 0, 6, 6, 6, 6, 6], [6, 0, 0, 6, 0, 6, 6, 6, 6, 0, 6, 0, 0, 0, 6], [0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0], [0, 0, 6, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6, 6, 0], [6, 6, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 6], [6, 0, 6, 6, 6, 0, 0, 6, 6, 6, 6, 6, 0, 0, 6], [0, 0, 0, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 0, 6], [0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0], [6, 6, 0, 6, 0, 0, 6, 6, 6, 6, 0, 6, 6, 0, 0], [0, 0, 6, 0, 0, 0, 6, 6, 6, 6, 6, 0, 0, 0, 6], [0, 0, 6, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 0, 6], [0, 0, 6, 6, 0, 0, 0, 6, 0, 0, 0, 6, 6, 6, 0], [6, 6, 0, 6, 0, 0, 0, 6, 0, 6, 6, 0, 0, 0, 6], [6, 0, 6, 6, 6, 0, 6, 6, 0, 6, 6, 6, 0, 0, 0], [0, 0, 6, 6, 6, 6, 6, 0, 6, 0, 6, 0, 0, 6, 6], [0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0], [2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0], [0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2], [0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2], [2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0], [0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0], [0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2], [2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2], [2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2], [0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0], [0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0], [2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2], [0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0], [0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2]] -> ",
+                "test": {
+                    "input": [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                            2
+                        ]
+                    ],
+                    "output": [
+                        [
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+                        [
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+                        [
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+                        [
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+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3
+                        ]
+                    ]
+                }
+            },
+            "Replicate 1": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1], [1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1], [0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0], [0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0], [1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1], [1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1], [0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1], [0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0], [1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0], [0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1], [0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1], [0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0], [1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1], [1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0], [0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1], [0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0], [2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0], [0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2], [0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2], [2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0], [0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0], [0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2], [2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2], [2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2], [0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0], [0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0], [2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2], [0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0], [0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2]] -> [[0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 3, 3, 0], [0, 3, 0, 0, 3, 0, 0, 0, 0, 0, 3, 0, 0, 3, 3], [0, 0, 0, 0, 3, 0, 0, 0, 0, 3, 0, 3, 0, 0, 0], [0, 3, 0, 0, 3, 0, 0, 0, 3, 3, 0, 3, 0, 3, 3], [3, 3, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 3, 0, 0], [3, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0, 3, 0, 3, 0], [0, 0, 0, 0, 3, 3, 3, 0, 3, 0, 0, 0, 0, 0, 0], [0, 0, 0, 3, 0, 0, 3, 3, 0, 3, 0, 0, 3, 3, 3], [3, 3, 0, 3, 0, 0, 0, 3, 0, 3, 0, 0, 0, 0, 0], [3, 3, 0, 3, 3, 0, 3, 3, 0, 0, 3, 3, 0, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0], [0, 0, 3, 3, 0, 0, 3, 0, 3, 3, 3, 3, 0, 0, 0], [3, 3, 0, 3, 0, 0, 0, 3, 0, 3, 3, 0, 0, 0, 3], [3, 3, 0, 0, 3, 0, 0, 3, 0, 3, 0, 0, 0, 3, 0], [0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[6, 0, 0, 6, 0, 0, 0, 6, 0, 0, 6, 6, 6, 6, 6], [6, 0, 0, 6, 0, 6, 6, 6, 6, 0, 6, 0, 0, 0, 6], [0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0], [0, 0, 6, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6, 6, 0], [6, 6, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 6], [6, 0, 6, 6, 6, 0, 0, 6, 6, 6, 6, 6, 0, 0, 6], [0, 0, 0, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 0, 6], [0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0], [6, 6, 0, 6, 0, 0, 6, 6, 6, 6, 0, 6, 6, 0, 0], [0, 0, 6, 0, 0, 0, 6, 6, 6, 6, 6, 0, 0, 0, 6], [0, 0, 6, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 0, 6], [0, 0, 6, 6, 0, 0, 0, 6, 0, 0, 0, 6, 6, 6, 0], [6, 6, 0, 6, 0, 0, 0, 6, 0, 6, 6, 0, 0, 0, 6], [6, 0, 6, 6, 6, 0, 6, 6, 0, 6, 6, 6, 0, 0, 0], [0, 0, 6, 6, 6, 6, 6, 0, 6, 0, 6, 0, 0, 6, 6], [0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0], [2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0], [0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2], [0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2], [2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0], [0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0], [0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2], [2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2], [2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2], [0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0], [0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0], [2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2], [0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0], [0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2]] -> [[0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 3, 3, 0], [0, 3, 0, 0, 3, 0, 0, 0, 0, 0, 3, 0, 0, 3, 3], [0, 0, 0, 0, 3, 0, 0, 0, 0, 3, 0, 3, 0, 0, 0], [0, 3, 0, 0, 3, 0, 0, 0, 3, 3, 0, 3, 0, 3, 3], [3, 3, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 3, 0, 0], [3, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0, 3, 0, 3, 0], [0, 0, 0, 0, 3, 3, 3, 0, 3, 0, 0, 0, 0, 0, 0], [0, 0, 0, 3, 0, 0, 3, 3, 0, 3, 0, 0, 3, 3, 3], [3, 3, 0, 3, 0, 0, 0, 3, 0, 3, 0, 0, 0, 0, 0], [3, 3, 0, 3, 3, 0, 3, 3, 0, 0, 3, 3, 0, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0], [0, 0, 3, 3, 0, 0, 3, 0, 3, 3, 3, 3, 0, 0, 0], [3, 3, 0, 3, 0, 0, 0, 3, 0, 3, 3, 0, 0, 0, 3], [3, 3, 0, 0, 3, 0, 0, 3, 0, 3, 0, 0, 0, 3, 0], [0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3]]\nExample input-output arrays:\n[[1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0], [1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1], [0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1], [1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1], [0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1], [1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0], [0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1], [1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0], [0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1], [1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0], [1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0], [1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0], [0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0], [1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1], [1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0], [2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2], [2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2], [2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2], [2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0], [2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0], [0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2], [2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2], [0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0], [0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0], [2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2], [0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0], [0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0], [0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0], [2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0], [0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0]] -> [[3, 3, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0], [0, 3, 0, 0, 0, 0, 3, 3, 0, 3, 3, 3, 0, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 3], [0, 3, 0, 0, 3, 3, 0, 3, 0, 3, 3, 3, 3, 3, 3], [0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0], [3, 0, 0, 3, 0, 0, 3, 3, 3, 0, 0, 0, 0, 3, 3], [0, 3, 0, 3, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 3], [3, 3, 3, 0, 3, 0, 0, 3, 3, 3, 3, 3, 3, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 3, 0], [0, 3, 3, 0, 3, 0, 3, 3, 0, 3, 0, 0, 3, 3, 3], [0, 0, 3, 0, 0, 0, 0, 3, 0, 0, 0, 0, 3, 0, 0], [3, 3, 0, 3, 3, 0, 0, 3, 3, 0, 3, 3, 0, 3, 0], [0, 3, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0], [0, 3, 0, 0, 0, 0, 3, 0, 0, 3, 0, 0, 3, 3, 3], [0, 0, 0, 0, 0, 0, 0, 3, 0, 3, 0, 0, 3, 3, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1], [1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1], [0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0], [1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1], [1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1], [0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0], [1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0], [0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0], [1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0], [1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1], [1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1], [1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1], [0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            0,
+                            1,
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+                            0,
+                            0,
+                            0,
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+                            0,
+                            0,
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+                            0,
+                            1
+                        ],
+                        [
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+                            1,
+                            1,
+                            1,
+                            1
+                        ],
+                        [
+                            1,
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+                            0,
+                            1,
+                            1,
+                            0,
+                            1,
+                            0,
+                            0,
+                            0,
+                            1,
+                            0,
+                            0,
+                            1
+                        ],
+                        [
+                            0,
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+                            1,
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+                            1,
+                            0,
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+                            1,
+                            1,
+                            0,
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+                            0
+                        ],
+                        [
+                            1,
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+                            1,
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+                            0,
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+                            1,
+                            1,
+                            1,
+                            1,
+                            0,
+                            1,
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+                            1
+                        ],
+                        [
+                            1,
+                            1,
+                            1,
+                            0,
+                            0,
+                            0,
+                            1,
+                            0,
+                            0,
+                            1,
+                            1,
+                            1,
+                            0,
+                            0,
+                            1
+                        ],
+                        [
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+                        ],
+                        [
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+                        ],
+                        [
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+                        ],
+                        [
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+                        ],
+                        [
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+                        [
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+                        [
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+                        [
+                            2,
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+                            2,
+                            2,
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+                            2,
+                            2,
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+                            2,
+                            2,
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+                        ],
+                        [
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+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
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+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
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+                            2,
+                            2,
+                            2,
+                            2,
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+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ]
+                    ],
+                    "output": [
+                        [
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
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+                        ],
+                        [
+                            3,
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+                            3,
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+                            3,
+                            3,
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+                        ],
+                        [
+                            3,
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+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3
+                        ],
+                        [
+                            3,
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+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
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+                        ],
+                        [
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+                            3,
+                            3,
+                            3,
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+                            3,
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+                        ],
+                        [
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+                            3,
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+                            0,
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+                        ],
+                        [
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+                            3,
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+                            0,
+                            3,
+                            0,
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+                        ],
+                        [
+                            0,
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+                            3,
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+                        ],
+                        [
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
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+                        ],
+                        [
+                            0,
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+                            3,
+                            3,
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+                            3,
+                            0,
+                            0,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
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+                        ],
+                        [
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
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+                            0,
+                            3,
+                            3,
+                            0,
+                            0
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0
+                        ]
+                    ]
+                }
+            },
+            "Replicate 2": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0], [0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1], [1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1], [0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0], [1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0], [1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1], [1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0], [1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1], [1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0], [1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0], [0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0], [0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1], [0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0], [1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1], [0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1], [2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0], [2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0], [0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2], [2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2], [0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2], [2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2], [0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0], [0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0], [2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2], [2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0], [2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0], [0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2], [2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2], [2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0]] -> [[0, 0, 0, 3, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0], [3, 3, 0, 3, 3, 0, 3, 0, 3, 0, 0, 0, 0, 0, 3], [0, 0, 0, 0, 0, 3, 0, 0, 3, 0, 0, 0, 3, 0, 0], [0, 3, 0, 3, 0, 0, 3, 3, 3, 0, 3, 0, 3, 0, 3], [3, 0, 3, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0], [3, 3, 0, 0, 3, 0, 3, 0, 3, 3, 3, 3, 0, 0, 0], [3, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3, 3, 0, 3, 3, 0, 3, 3, 0, 3, 3, 0, 3, 3], [0, 0, 3, 0, 3, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0], [0, 0, 0, 3, 3, 0, 3, 0, 0, 3, 0, 3, 3, 0, 3], [0, 0, 3, 0, 0, 0, 0, 3, 0, 0, 0, 0, 3, 3, 0], [3, 0, 0, 0, 0, 0, 3, 3, 3, 0, 3, 3, 0, 3, 3], [0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 3, 3, 0, 3, 0], [0, 0, 3, 3, 3, 0, 0, 3, 3, 3, 3, 3, 3, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1], [0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0], [1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1], [1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1], [1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0], [0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1], [1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0], [1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1], [0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0], [1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1], [0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1], [1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0], [0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1], [0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0], [1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 3, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3, 3, 0, 3, 3, 3, 3, 0, 0, 0, 3, 3, 3, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 3, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 3, 0, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3, 0, 0, 0, 3, 3, 3, 0, 3, 0, 3, 0, 3, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3, 0, 3, 0, 3, 0, 3, 3, 3, 3, 3, 3, 0, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3, 3, 0, 3, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 3, 3, 0, 0, 0, 0, 3, 0, 0, 0, 3, 3, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1], [1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0], [1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0], [0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1], [1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1], [0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1], [1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1], [1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0], [0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0], [1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1], [1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0], [1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1], [1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1], [2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0], [0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0], [2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2], [0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0], [0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0], [0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0], [0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2], [0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2], [2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0], [2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2], [2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2], [0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2]] -> [[0, 0, 0, 0, 0, 3, 0, 3, 0, 0, 0, 0, 0, 0, 0], [3, 3, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0], [3, 3, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 3, 0, 0, 3, 0, 3, 0, 0, 0, 3, 0, 3, 0, 3], [0, 0, 3, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 3, 3, 0, 0, 0, 3, 3, 0, 0, 0, 3], [0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 3, 0, 3, 0, 3, 0, 3, 3, 0, 3, 3, 3], [0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 3, 0, 3, 0, 0], [0, 3, 3, 0, 0, 3, 0, 3, 0, 0, 3, 3, 0, 3, 3], [3, 3, 0, 3, 0, 3, 0, 3, 0, 0, 3, 0, 0, 0, 0], [0, 0, 0, 3, 0, 0, 0, 3, 3, 3, 0, 0, 0, 3, 0], [3, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 3, 0, 0, 3, 0, 0, 0, 0, 0, 3], [0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 3]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 0, 0, 0, 0, 9, 0, 9, 0, 9, 0, 0, 9, 0, 9], [9, 9, 0, 9, 9, 0, 0, 0, 9, 9, 9, 0, 0, 9, 0], [9, 9, 9, 9, 0, 0, 9, 0, 0, 9, 9, 0, 0, 0, 0], [0, 0, 0, 9, 9, 0, 9, 0, 0, 9, 0, 9, 9, 9, 9], [9, 0, 9, 0, 0, 9, 9, 0, 0, 9, 0, 9, 0, 0, 9], [0, 0, 0, 0, 9, 9, 9, 0, 0, 9, 0, 9, 9, 9, 9], [9, 9, 0, 9, 0, 0, 0, 9, 9, 0, 9, 0, 9, 0, 9], [9, 0, 0, 9, 0, 0, 9, 9, 9, 0, 9, 9, 0, 9, 0], [0, 0, 9, 0, 9, 9, 0, 9, 9, 9, 9, 0, 9, 0, 0], [9, 9, 0, 0, 9, 9, 9, 0, 9, 0, 9, 9, 9, 0, 9], [9, 9, 0, 9, 9, 9, 0, 9, 0, 0, 9, 0, 0, 0, 0], [9, 0, 0, 0, 9, 0, 9, 9, 9, 0, 9, 0, 9, 0, 9], [9, 9, 9, 9, 0, 9, 0, 0, 9, 9, 0, 0, 0, 9, 0], [0, 0, 0, 0, 0, 0, 9, 9, 9, 0, 0, 9, 9, 9, 0], [0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 9], [2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0], [0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0], [2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2], [0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0], [0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0], [0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0], [0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2], [0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2], [2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0], [2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2], [2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2], [0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            9,
+                            0,
+                            9,
+                            0,
+                            9,
+                            0,
+                            0,
+                            9,
+                            0,
+                            9
+                        ],
+                        [
+                            9,
+                            9,
+                            0,
+                            9,
+                            9,
+                            0,
+                            0,
+                            0,
+                            9,
+                            9,
+                            9,
+                            0,
+                            0,
+                            9,
+                            0
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+                    "output": [
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+            },
+            "Replicate 3": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0], [1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0], [1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1], [1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1], [0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1], [0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0], [0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0], [0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1], [0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1], [1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1], [0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0], [0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0], [1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0], [0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2], [0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0], [0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0], [0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0], [0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0], [2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0], [0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0], [2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2], [2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0], [0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2], [2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0], [0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2], [2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2], [2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0]] -> [[0, 0, 0, 0, 0, 3, 3, 0, 0, 3, 0, 0, 0, 0, 0], [0, 3, 0, 0, 0, 0, 0, 0, 3, 0, 3, 0, 0, 0, 0], [0, 0, 3, 0, 0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 3, 0, 3, 3, 0, 0, 0, 0, 3, 3, 3], [0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 3, 3, 0, 3, 0], [0, 3, 3, 0, 3, 3, 3, 0, 0, 0, 0, 0, 0, 3, 3], [0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0], [0, 0, 0, 3, 3, 0, 0, 0, 0, 3, 0, 3, 0, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3], [3, 0, 3, 0, 0, 0, 0, 3, 3, 0, 3, 0, 3, 3, 3], [0, 0, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 3], [3, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 0, 3, 3, 0], [0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 3, 0, 0, 0, 0], [0, 3, 3, 0, 0, 0, 3, 0, 0, 3, 3, 3, 3, 0, 3], [0, 0, 0, 0, 0, 3, 0, 3, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1], [1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1], [1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1], [1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1], [1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0], [1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0], [0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1], [0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1], [1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1], [1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0], [0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0], [0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1], [0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1], [1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1], [1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]] -> [[0, 3, 0, 0, 0, 0, 3, 0, 0, 3, 3, 0, 3, 0, 3], [0, 3, 3, 0, 0, 0, 0, 0, 0, 3, 3, 0, 3, 3, 0], [3, 0, 3, 0, 3, 3, 0, 0, 0, 0, 3, 3, 3, 3, 3], [0, 3, 0, 3, 3, 0, 3, 3, 3, 0, 3, 3, 0, 0, 0], [3, 0, 3, 3, 0, 3, 3, 0, 0, 3, 3, 0, 3, 3, 0], [0, 0, 0, 0, 3, 0, 0, 3, 3, 3, 3, 0, 3, 3, 3], [0, 0, 0, 3, 0, 0, 3, 0, 0, 0, 0, 3, 3, 3, 3], [3, 0, 0, 3, 3, 3, 0, 0, 0, 3, 0, 3, 3, 0, 0], [3, 3, 0, 3, 0, 0, 0, 0, 3, 3, 3, 0, 0, 3, 3], [0, 3, 3, 0, 0, 3, 0, 3, 0, 0, 0, 3, 3, 0, 3], [0, 0, 0, 3, 0, 0, 3, 0, 3, 0, 3, 3, 0, 3, 0], [3, 3, 3, 3, 3, 0, 0, 3, 3, 0, 3, 0, 3, 3, 0], [0, 0, 0, 0, 3, 3, 3, 3, 0, 3, 0, 3, 3, 3, 3], [0, 3, 0, 0, 0, 0, 3, 0, 3, 3, 0, 0, 0, 0, 0], [3, 3, 3, 0, 3, 0, 3, 3, 0, 0, 0, 3, 3, 3, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1], [1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0], [1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0], [0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1], [1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1], [0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1], [1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1], [1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0], [0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0], [1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1], [1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0], [1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1], [1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1], [2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0], [0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0], [2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2], [0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0], [0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0], [0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0], [0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2], [0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2], [2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0], [2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0], [2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2], [2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2], [0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2]] -> [[0, 0, 0, 0, 0, 3, 0, 3, 0, 0, 0, 0, 0, 0, 0], [3, 3, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0], [3, 3, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 3, 0, 0, 3, 0, 3, 0, 0, 0, 3, 0, 3, 0, 3], [0, 0, 3, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 3, 3, 0, 0, 0, 3, 3, 0, 0, 0, 3], [0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 3, 0, 3, 0, 3, 0, 3, 3, 0, 3, 3, 3], [0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 3, 0, 3, 0, 0], [0, 3, 3, 0, 0, 3, 0, 3, 0, 0, 3, 3, 0, 3, 3], [3, 3, 0, 3, 0, 3, 0, 3, 0, 0, 3, 0, 0, 0, 0], [0, 0, 0, 3, 0, 0, 0, 3, 3, 3, 0, 0, 0, 3, 0], [3, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 3, 0, 0, 3, 0, 0, 0, 0, 0, 3], [0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 3]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], [1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0], [1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0], [1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1], [1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1], [1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1], [0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0], [1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1], [1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0], [1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1], [1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1], [1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1], [1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0], [0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
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+                            0,
+                            0,
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+                            1
+                        ],
+                        [
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+                            1,
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+                            0,
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+                            1,
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+                            0
+                        ],
+                        [
+                            1,
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+                            1,
+                            1,
+                            1,
+                            1,
+                            0,
+                            1,
+                            1,
+                            0,
+                            1,
+                            1,
+                            1,
+                            1,
+                            0
+                        ],
+                        [
+                            1,
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+                            0,
+                            1,
+                            1,
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+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
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+                            1,
+                            1
+                        ],
+                        [
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+                            1,
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+                            1,
+                            1,
+                            0,
+                            1,
+                            1
+                        ],
+                        [
+                            1,
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+                            1,
+                            0,
+                            1,
+                            0,
+                            0,
+                            1,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
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+                        ],
+                        [
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+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
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+                            0,
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+                            1,
+                            1,
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+                            0
+                        ],
+                        [
+                            1,
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+                            1,
+                            1,
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+                            0,
+                            1,
+                            0,
+                            1,
+                            0,
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+                            1,
+                            1,
+                            1,
+                            1
+                        ],
+                        [
+                            1,
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+                            0,
+                            0,
+                            0,
+                            1,
+                            0,
+                            0,
+                            1,
+                            1,
+                            1,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
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+                            0,
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+                        [
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+                        [
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+                        ],
+                        [
+                            1,
+                            1,
+                            1,
+                            1,
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+                            0,
+                            1,
+                            1,
+                            1,
+                            1,
+                            0,
+                            1,
+                            1,
+                            0,
+                            1
+                        ],
+                        [
+                            1,
+                            1,
+                            0,
+                            1,
+                            0,
+                            1,
+                            0,
+                            1,
+                            0,
+                            1,
+                            1,
+                            0,
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+                            0,
+                            0
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+                        [
+                            0,
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+                            1,
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+                            0,
+                            1,
+                            1,
+                            1,
+                            0,
+                            1,
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+                            1,
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+                        ],
+                        [
+                            0,
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+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
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+                        [
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+                            0,
+                            0,
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+                        [
+                            0,
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+                            0,
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+                        [
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+                            0,
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+                            0,
+                            0,
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+                            0,
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                            0,
+                            0,
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+                            0,
+                            0,
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+                        ],
+                        [
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+                            0,
+                            0,
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+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
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+                        [
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+                            0,
+                            0,
+                            0,
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+                            0,
+                            0,
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+                            0
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+                        [
+                            0,
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+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
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+                            0,
+                            0
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+                        [
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+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ]
+                    ],
+                    "output": [
+                        [
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+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
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+                            0,
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+                        [
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+                            0,
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+                        [
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+                            0,
+                            0,
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+                        ],
+                        [
+                            3,
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+                            0,
+                            3,
+                            3,
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+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
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+                        ],
+                        [
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+                            0,
+                            0,
+                            0,
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+                            0,
+                            0,
+                            0,
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+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            3,
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+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
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+                            0,
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+                            0,
+                            0
+                        ],
+                        [
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ]
+                    ]
+                }
+            },
+            "Replicate 4": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1], [1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1], [0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0], [0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0], [1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1], [1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1], [0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1], [0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0], [1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0], [0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1], [0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1], [0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0], [1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1], [1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0], [0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1], [0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0], [2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0], [0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2], [0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2], [2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0], [0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0], [0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2], [2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2], [2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2], [0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0], [0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0], [2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2], [0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0], [0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2]] -> [[0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 3, 3, 0], [0, 3, 0, 0, 3, 0, 0, 0, 0, 0, 3, 0, 0, 3, 3], [0, 0, 0, 0, 3, 0, 0, 0, 0, 3, 0, 3, 0, 0, 0], [0, 3, 0, 0, 3, 0, 0, 0, 3, 3, 0, 3, 0, 3, 3], [3, 3, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 3, 0, 0], [3, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0, 3, 0, 3, 0], [0, 0, 0, 0, 3, 3, 3, 0, 3, 0, 0, 0, 0, 0, 0], [0, 0, 0, 3, 0, 0, 3, 3, 0, 3, 0, 0, 3, 3, 3], [3, 3, 0, 3, 0, 0, 0, 3, 0, 3, 0, 0, 0, 0, 0], [3, 3, 0, 3, 3, 0, 3, 3, 0, 0, 3, 3, 0, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0], [0, 0, 3, 3, 0, 0, 3, 0, 3, 3, 3, 3, 0, 0, 0], [3, 3, 0, 3, 0, 0, 0, 3, 0, 3, 3, 0, 0, 0, 3], [3, 3, 0, 0, 3, 0, 0, 3, 0, 3, 0, 0, 0, 3, 0], [0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3]]\nExample input-output arrays:\n[[1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1], [1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1], [0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0], [0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0], [1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1], [1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1], [0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1], [0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0], [1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0], [0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1], [0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1], [0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0], [1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1], [1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0], [0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1], [0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0], [2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0], [0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2], [0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2], [2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0], [0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0], [0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2], [2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2], [2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2], [0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0], [0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0], [2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2], [0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0], [0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2]] -> [[0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 3, 3, 0], [0, 3, 0, 0, 3, 0, 0, 0, 0, 0, 3, 0, 0, 3, 3], [0, 0, 0, 0, 3, 0, 0, 0, 0, 3, 0, 3, 0, 0, 0], [0, 3, 0, 0, 3, 0, 0, 0, 3, 3, 0, 3, 0, 3, 3], [3, 3, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 3, 0, 0], [3, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0, 3, 0, 3, 0], [0, 0, 0, 0, 3, 3, 3, 0, 3, 0, 0, 0, 0, 0, 0], [0, 0, 0, 3, 0, 0, 3, 3, 0, 3, 0, 0, 3, 3, 3], [3, 3, 0, 3, 0, 0, 0, 3, 0, 3, 0, 0, 0, 0, 0], [3, 3, 0, 3, 3, 0, 3, 3, 0, 0, 3, 3, 0, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0], [0, 0, 3, 3, 0, 0, 3, 0, 3, 3, 3, 3, 0, 0, 0], [3, 3, 0, 3, 0, 0, 0, 3, 0, 3, 3, 0, 0, 0, 3], [3, 3, 0, 0, 3, 0, 0, 3, 0, 3, 0, 0, 0, 3, 0], [0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3]]\nCounterfactual: Now imagine that we intervened on the previous input by changing the causal function for some elements.\n[[0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0], [0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0], [1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1], [1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1], [0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0], [0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0], [1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0], [1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1], [0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1], [1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0], [1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0], [1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1], [0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0], [0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1], [1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0], [2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2], [2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2], [2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0], [2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2], [0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2], [2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2], [0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0], [2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0], [2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0], [2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0], [2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2], [2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2], [2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0], [0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0], [2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            0,
+                            1,
+                            1,
+                            0,
+                            1,
+                            1,
+                            1,
+                            0,
+                            1,
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+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
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+                            0,
+                            0,
+                            0,
+                            1,
+                            0,
+                            1,
+                            1,
+                            1,
+                            0
+                        ],
+                        [
+                            1,
+                            1,
+                            1,
+                            1,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            1,
+                            1,
+                            1
+                        ],
+                        [
+                            1,
+                            1,
+                            0,
+                            1,
+                            0,
+                            0,
+                            1,
+                            1,
+                            0,
+                            1,
+                            0,
+                            1,
+                            0,
+                            0,
+                            1
+                        ],
+                        [
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+                            1,
+                            0,
+                            0,
+                            0,
+                            0,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
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+                            0,
+                            0,
+                            0,
+                            0,
+                            1,
+                            1,
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+                        ],
+                        [
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+                            1,
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+                            0,
+                            1,
+                            0,
+                            0,
+                            1,
+                            1,
+                            1,
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+                            0
+                        ],
+                        [
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+                            0,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            0,
+                            1,
+                            1,
+                            1
+                        ],
+                        [
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+                            0,
+                            0,
+                            1,
+                            0,
+                            0,
+                            1,
+                            1
+                        ],
+                        [
+                            1,
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+                            1,
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+                            1,
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+                            0,
+                            0,
+                            0,
+                            0,
+                            1,
+                            1,
+                            1,
+                            0
+                        ],
+                        [
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+                        ],
+                        [
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+                        ],
+                        [
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+                            1,
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+                            1,
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+                        ],
+                        [
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+                            0,
+                            1,
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+                            0,
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+                            1,
+                            1,
+                            1
+                        ],
+                        [
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+                            1,
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+                            0,
+                            0,
+                            0,
+                            0,
+                            1,
+                            0,
+                            1,
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+                            1,
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+                        ],
+                        [
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+                            2,
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+                            2,
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+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
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+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
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+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            2,
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+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            2
+                        ],
+                        [
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+                        ],
+                        [
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+                        ],
+                        [
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+                        [
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+                        ],
+                        [
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+                        ],
+                        [
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+                        ],
+                        [
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+                        ],
+                        [
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+                            2,
+                            0,
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+                            2,
+                            0,
+                            0,
+                            0,
+                            2
+                        ],
+                        [
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            2,
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+                            0,
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+                        ],
+                        [
+                            0,
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+                            0,
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+                            2,
+                            0,
+                            0,
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+                        ],
+                        [
+                            2,
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+                            2,
+                            0,
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+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            0
+                        ]
+                    ],
+                    "output": [
+                        [
+                            0,
+                            0,
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+                            3,
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+                        [
+                            3,
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+                        [
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+                        [
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+                        [
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+                        [
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+                            3,
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                    ]
+                }
+            }
+        }
+    },
+    "SCMu3am!and!xor!axis0!20x20": {
+        "L1": {
+            "Replicate 0": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[5, 0, 5, 5, 0, 5, 5, 0, 0, 5, 0, 5, 5, 0, 5, 5, 0, 0, 0, 5], [0, 5, 0, 5, 0, 5, 5, 5, 0, 5, 0, 5, 0, 5, 0, 5, 0, 0, 5, 5], [5, 5, 0, 5, 0, 0, 5, 0, 0, 0, 5, 0, 5, 5, 5, 0, 5, 5, 0, 5], [0, 5, 5, 5, 0, 5, 5, 5, 0, 0, 5, 0, 0, 5, 5, 0, 5, 0, 0, 0], [5, 0, 5, 5, 5, 0, 5, 5, 0, 5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 5], [0, 0, 0, 0, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 5, 5], [5, 5, 0, 0, 0, 5, 5, 0, 0, 0, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5], [0, 5, 5, 0, 5, 5, 0, 0, 5, 5, 0, 0, 0, 0, 5, 0, 5, 5, 0, 5], [5, 5, 0, 5, 5, 0, 0, 5, 5, 5, 0, 5, 0, 5, 5, 5, 5, 5, 0, 5], [0, 0, 5, 0, 5, 0, 0, 0, 5, 0, 0, 5, 5, 0, 0, 5, 0, 0, 0, 5], [5, 0, 5, 5, 0, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 5, 5, 5, 0], [0, 0, 0, 5, 5, 0, 5, 0, 5, 0, 5, 5, 0, 0, 0, 5, 0, 0, 5, 0], [0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 5, 5, 0, 0, 5, 0, 0, 5, 0, 5], [0, 0, 5, 0, 5, 0, 0, 0, 5, 5, 5, 0, 5, 0, 0, 5, 5, 0, 5, 5], [5, 0, 5, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 5, 0, 0, 0, 5, 0], [0, 5, 0, 5, 0, 0, 5, 5, 0, 5, 0, 0, 5, 0, 0, 0, 5, 5, 5, 5], [0, 5, 5, 5, 0, 5, 5, 5, 0, 0, 5, 5, 5, 0, 0, 5, 0, 5, 0, 0], [0, 5, 5, 5, 5, 0, 0, 5, 0, 5, 0, 5, 0, 5, 0, 5, 5, 0, 0, 0], [0, 0, 5, 0, 5, 5, 0, 0, 5, 5, 5, 0, 5, 5, 0, 0, 0, 0, 5, 0], [5, 5, 5, 0, 0, 5, 0, 0, 5, 0, 5, 5, 0, 5, 5, 5, 0, 5, 5, 5], [0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 6, 0, 0, 6], [6, 6, 0, 6, 0, 6, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 0], [0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0, 0], [0, 6, 6, 0, 0, 0, 6, 6, 6, 0, 6, 6, 0, 0, 6, 6, 6, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0], [6, 6, 0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 6, 0, 0, 0, 6, 0, 0, 0], [0, 6, 6, 0, 6, 6, 6, 6, 0, 0, 6, 6, 6, 6, 6, 0, 6, 0, 0, 6], [6, 6, 0, 0, 6, 0, 0, 0, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6, 0, 0], [0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6], [0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 6, 0, 0, 6, 6, 0, 6, 6], [6, 6, 0, 0, 0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6], [6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6], [0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 0, 6, 6, 0, 6, 0, 6, 0, 6], [6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 0, 6, 0], [6, 6, 6, 0, 0, 6, 0, 0, 0, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6], [0, 0, 0, 6, 0, 6, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6], [0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 6, 0, 6], [0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 0, 6, 6, 6, 6, 0, 6, 6, 0, 6]] -> [[0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 7], [7, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 0, 7, 0, 7, 7, 0, 7], [0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0, 0], [0, 0, 0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 0, 7, 0, 7, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 7, 0, 0, 7, 0, 0], [0, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 0, 0, 7, 7, 7, 7], [7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 0, 0, 7, 0, 0], [7, 7, 0, 0, 7, 0, 0, 0, 0, 7, 0, 7, 0, 0, 7, 7, 7, 7, 0, 0], [0, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0], [0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 7, 7, 0, 7, 0], [7, 7, 0, 7, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0, 7], [0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 7, 0, 0, 7, 0, 0, 7, 7, 7, 0], [7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0], [7, 0, 7, 7, 0, 7, 7, 7, 0, 0, 7, 7, 0, 7, 0, 0, 7, 7, 7, 0], [0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0], [0, 0, 0, 7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 7, 0, 0, 7, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0], [7, 0, 0, 7, 0, 7, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 7, 0, 7, 0]]\nExample input-output arrays:\n[[0, 5, 0, 0, 5, 0, 0, 0, 0, 0, 5, 5, 0, 0, 5, 0, 0, 0, 0, 5], [5, 0, 0, 5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 5, 5, 0, 0, 5, 5, 0], [0, 0, 5, 0, 5, 5, 5, 5, 5, 0, 5, 5, 5, 5, 0, 0, 5, 0, 5, 0], [0, 5, 5, 0, 5, 5, 5, 5, 5, 5, 0, 5, 5, 5, 0, 0, 5, 5, 0, 0], [5, 0, 5, 0, 0, 5, 0, 0, 5, 0, 5, 0, 0, 5, 5, 5, 0, 0, 5, 0], [5, 0, 5, 5, 5, 5, 5, 0, 0, 5, 5, 0, 5, 0, 0, 0, 5, 0, 0, 5], [0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 5, 0, 5, 0, 5, 0, 5, 0, 5, 0], [5, 5, 5, 5, 0, 5, 5, 5, 5, 0, 5, 5, 0, 0, 5, 5, 5, 0, 5, 5], [5, 0, 5, 0, 0, 0, 0, 5, 0, 5, 5, 0, 0, 0, 5, 5, 0, 0, 0, 5], [5, 0, 5, 0, 5, 0, 0, 0, 0, 0, 5, 5, 0, 5, 0, 5, 0, 5, 0, 5], [0, 5, 5, 0, 5, 5, 5, 5, 0, 0, 5, 5, 5, 5, 0, 5, 0, 0, 5, 0], [0, 0, 5, 5, 0, 5, 5, 0, 0, 0, 0, 0, 5, 0, 5, 0, 0, 5, 5, 5], [5, 0, 0, 0, 5, 0, 0, 5, 5, 5, 5, 5, 0, 5, 5, 0, 5, 5, 5, 0], [5, 5, 5, 5, 0, 5, 5, 5, 5, 0, 5, 0, 0, 5, 0, 5, 5, 5, 0, 5], [0, 0, 5, 0, 5, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 5, 5, 0, 5, 0], [5, 0, 5, 0, 0, 5, 5, 5, 0, 5, 0, 5, 5, 5, 0, 5, 0, 5, 0, 0], [0, 0, 5, 0, 5, 5, 5, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 0, 5, 5, 0, 5, 0, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0], [0, 0, 0, 5, 0, 5, 5, 5, 0, 5, 0, 5, 0, 0, 0, 0, 5, 5, 0, 0], [5, 0, 0, 0, 5, 5, 0, 5, 5, 0, 0, 5, 5, 0, 0, 0, 5, 5, 5, 5], [6, 0, 0, 6, 6, 6, 0, 6, 0, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 0], [0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 0], [0, 6, 0, 6, 6, 6, 0, 0, 6, 0, 6, 0, 0, 6, 6, 6, 6, 0, 0, 6], [0, 0, 6, 6, 0, 0, 6, 0, 6, 0, 0, 0, 6, 0, 6, 6, 6, 0, 6, 0], [6, 6, 6, 6, 6, 6, 0, 0, 0, 6, 6, 6, 6, 6, 0, 0, 0, 0, 6, 6], [0, 6, 6, 0, 0, 0, 0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 6], [0, 0, 6, 0, 0, 6, 6, 6, 6, 0, 0, 6, 6, 6, 6, 0, 0, 0, 6, 6], [6, 0, 0, 6, 0, 6, 0, 0, 6, 6, 0, 6, 6, 0, 6, 0, 0, 0, 6, 6], [6, 6, 6, 0, 6, 0, 0, 6, 0, 6, 0, 0, 0, 6, 6, 0, 6, 0, 6, 6], [0, 6, 6, 0, 6, 0, 0, 0, 6, 6, 0, 0, 0, 6, 0, 6, 0, 0, 0, 6], [6, 0, 0, 6, 0, 0, 6, 0, 6, 0, 0, 6, 6, 0, 0, 6, 0, 0, 6, 0], [6, 6, 0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0], [6, 6, 0, 6, 0, 0, 0, 6, 6, 6, 6, 6, 0, 6, 6, 6, 6, 0, 0, 0], [6, 0, 0, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0, 0, 6, 6, 0, 0, 0, 6], [0, 6, 0, 6, 0, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6, 0, 0, 0, 6], [6, 6, 0, 6, 6, 0, 0, 0, 0, 0, 6, 6, 0, 6, 0, 0, 0, 6, 0, 0], [0, 0, 6, 0, 0, 0, 0, 6, 0, 0, 6, 6, 0, 6, 0, 6, 0, 6, 6, 0], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 6, 6, 0, 6, 6, 6, 6], [6, 0, 6, 6, 0, 0, 6, 0, 6, 0, 0, 0, 6, 0, 6, 0, 6, 6, 6, 0], [6, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 0, 6, 6, 6, 0, 6, 6, 6, 6]] -> [[0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 0, 7, 0, 0, 0, 0, 0], [7, 0, 7, 0, 0, 7, 7, 0, 7, 0, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0], [0, 0, 0, 0, 7, 7, 0, 0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 0, 0, 0], [0, 7, 0, 7, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 0], [7, 0, 7, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 7, 0], [7, 7, 0, 7, 7, 7, 7, 0, 7, 7, 0, 7, 0, 7, 7, 7, 7, 7, 7, 0], [0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 7, 0], [0, 7, 7, 0, 0, 0, 7, 7, 0, 7, 7, 0, 7, 0, 0, 7, 7, 0, 0, 0], [7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7], [7, 7, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 7, 0, 0], [0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7, 7, 0, 0, 7, 0, 0, 7, 0], [7, 7, 7, 0, 0, 0, 7, 7, 7, 7, 7, 7, 0, 7, 0, 7, 7, 0, 7, 7], [7, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 0, 7, 7, 0, 7, 0, 0, 0], [0, 7, 7, 7, 7, 0, 0, 0, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0], [0, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 0, 7, 0, 0, 7, 0, 0, 0, 0], [0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0], [7, 7, 7, 0, 7, 0, 0, 7, 0, 7, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7], [0, 0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0], [0, 0, 0, 0, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[5, 5, 0, 5, 5, 5, 0, 5, 5, 0, 5, 0, 5, 5, 5, 0, 0, 0, 0, 0], [5, 5, 5, 5, 5, 5, 5, 0, 5, 5, 5, 5, 0, 0, 0, 0, 5, 5, 0, 0], [5, 5, 0, 5, 5, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 0, 0, 0, 0, 0], [0, 5, 0, 5, 5, 5, 5, 0, 5, 5, 0, 5, 0, 5, 5, 0, 5, 0, 0, 5], [0, 5, 5, 5, 0, 0, 0, 5, 0, 0, 5, 0, 0, 5, 5, 0, 5, 0, 5, 5], [5, 0, 0, 5, 5, 5, 0, 5, 0, 5, 5, 0, 5, 0, 5, 5, 0, 5, 0, 0], [0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 5, 5, 5, 5, 5, 5], [0, 0, 5, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 5, 0], [5, 5, 5, 5, 5, 0, 0, 5, 0, 5, 5, 5, 5, 0, 0, 0, 0, 0, 5, 5], [5, 5, 5, 5, 5, 5, 0, 5, 5, 0, 0, 5, 5, 0, 5, 5, 0, 0, 5, 5], [5, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 5, 0, 0, 0, 5, 5, 0, 5, 5], [5, 5, 0, 0, 0, 0, 5, 5, 5, 0, 0, 5, 5, 0, 0, 5, 5, 0, 5, 0], [5, 5, 0, 0, 0, 5, 5, 5, 5, 5, 5, 0, 0, 5, 5, 0, 5, 0, 5, 0], [0, 0, 5, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0], [5, 5, 0, 0, 5, 5, 0, 5, 5, 0, 0, 0, 5, 0, 5, 0, 0, 0, 0, 0], [5, 0, 5, 0, 0, 5, 5, 0, 5, 0, 5, 0, 5, 0, 0, 5, 5, 0, 0, 5], [0, 0, 5, 0, 0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 0, 0, 5, 0, 0, 0], [5, 5, 0, 0, 5, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 5, 5, 5, 5, 5], [0, 5, 0, 5, 0, 5, 0, 5, 0, 0, 0, 5, 5, 5, 5, 5, 0, 5, 5, 5], [0, 5, 5, 5, 5, 0, 0, 0, 0, 5, 0, 5, 5, 5, 5, 0, 0, 0, 5, 5], [0, 0, 0, 0, 6, 0, 0, 6, 0, 6, 6, 0, 0, 0, 0, 0, 6, 6, 0, 6], [0, 6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 6], [0, 6, 6, 6, 6, 6, 0, 6, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0], [6, 6, 6, 6, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 6, 6, 0, 0, 6, 0], [0, 0, 6, 0, 0, 6, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 0, 0], [6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 6, 0, 0], [6, 6, 6, 6, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0, 6, 0, 0, 6, 6, 0], [0, 0, 6, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 6, 0, 0], [0, 6, 6, 0, 0, 6, 0, 6, 6, 0, 6, 0, 6, 0, 0, 6, 0, 6, 0, 6], [6, 6, 0, 0, 6, 6, 0, 6, 6, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0, 6], [6, 6, 0, 6, 6, 6, 6, 6, 0, 6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 6], [0, 0, 6, 6, 6, 0, 0, 6, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0], [6, 6, 0, 6, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 6, 0, 6, 6, 6, 0], [0, 0, 6, 0, 0, 6, 6, 6, 0, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 0], [0, 6, 0, 0, 6, 0, 0, 0, 6, 0, 6, 0, 6, 0, 0, 6, 0, 6, 6, 0], [6, 0, 0, 0, 6, 0, 0, 6, 6, 6, 6, 0, 0, 0, 6, 6, 0, 6, 6, 0], [6, 6, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 0], [6, 0, 6, 0, 6, 6, 6, 0, 6, 6, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6], [0, 0, 0, 6, 6, 6, 0, 0, 6, 6, 6, 0, 6, 6, 0, 0, 6, 6, 0, 6], [0, 0, 6, 0, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 6]] -> [[0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0], [7, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7, 7, 7, 7, 0, 0, 7, 7, 7], [0, 7, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [7, 0, 7, 0, 7, 7, 7, 0, 0, 0, 0, 7, 0, 7, 0, 7, 7, 0, 7, 7], [0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 7, 7, 0, 0, 0, 0, 0], [0, 7, 7, 7, 7, 7, 0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 0, 0, 0, 0], [0, 0, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0, 0, 7, 7, 0], [0, 0, 0, 7, 7, 0, 0, 7, 0, 7, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0], [0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 7], [0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 7, 0], [7, 0, 0, 0, 7, 0, 0, 7, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7], [7, 7, 7, 7, 7, 0, 7, 0, 7, 7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 0], [7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 7, 0], [0, 0, 0, 0, 0, 7, 7, 0, 7, 7, 0, 0, 0, 7, 0, 7, 7, 7, 7, 0], [0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 7, 0, 7, 7, 7, 7, 0, 7, 0, 0, 7, 0, 7, 0, 7, 7, 7, 7], [0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0], [0, 7, 7, 0, 0, 0, 7, 0, 7, 0, 7, 7, 0, 0, 7, 0, 7, 0, 7, 0], [0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 7, 0, 7], [0, 7, 0, 7, 0, 7, 7, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0], [2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0], [2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2], [0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2], [2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0], [0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2], [0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0], [2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2], [2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2], [2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2], [2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0], [2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0], [0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0], [2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2], [0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0], [2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2], [0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2], [0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2], [0, 0, 0, 0, 6, 0, 0, 6, 0, 6, 6, 0, 0, 0, 0, 0, 6, 6, 0, 6], [0, 6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 6], [0, 6, 6, 6, 6, 6, 0, 6, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0], [6, 6, 6, 6, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 6, 6, 0, 0, 6, 0], [0, 0, 6, 0, 0, 6, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 0, 0], [6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 6, 0, 0], [6, 6, 6, 6, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0, 6, 0, 0, 6, 6, 0], [0, 0, 6, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 6, 0, 0], [0, 6, 6, 0, 0, 6, 0, 6, 6, 0, 6, 0, 6, 0, 0, 6, 0, 6, 0, 6], [6, 6, 0, 0, 6, 6, 0, 6, 6, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0, 6], [6, 6, 0, 6, 6, 6, 6, 6, 0, 6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 6], [0, 0, 6, 6, 6, 0, 0, 6, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0], [6, 6, 0, 6, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 6, 0, 6, 6, 6, 0], [0, 0, 6, 0, 0, 6, 6, 6, 0, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 0], [0, 6, 0, 0, 6, 0, 0, 0, 6, 0, 6, 0, 6, 0, 0, 6, 0, 6, 6, 0], [6, 0, 0, 0, 6, 0, 0, 6, 6, 6, 6, 0, 0, 0, 6, 6, 0, 6, 6, 0], [6, 6, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 0], [6, 0, 6, 0, 6, 6, 6, 0, 6, 6, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6], [0, 0, 0, 6, 6, 6, 0, 0, 6, 6, 6, 0, 6, 6, 0, 0, 6, 6, 0, 6], [0, 0, 6, 0, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 6]] -> ",
+                "test": {
+                    "input": [
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+            },
+            "Replicate 1": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 5, 0, 0, 5, 0, 0, 0, 0, 0, 5, 5, 0, 0, 5, 0, 0, 0, 0, 5], [5, 0, 0, 5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 5, 5, 0, 0, 5, 5, 0], [0, 0, 5, 0, 5, 5, 5, 5, 5, 0, 5, 5, 5, 5, 0, 0, 5, 0, 5, 0], [0, 5, 5, 0, 5, 5, 5, 5, 5, 5, 0, 5, 5, 5, 0, 0, 5, 5, 0, 0], [5, 0, 5, 0, 0, 5, 0, 0, 5, 0, 5, 0, 0, 5, 5, 5, 0, 0, 5, 0], [5, 0, 5, 5, 5, 5, 5, 0, 0, 5, 5, 0, 5, 0, 0, 0, 5, 0, 0, 5], [0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 5, 0, 5, 0, 5, 0, 5, 0, 5, 0], [5, 5, 5, 5, 0, 5, 5, 5, 5, 0, 5, 5, 0, 0, 5, 5, 5, 0, 5, 5], [5, 0, 5, 0, 0, 0, 0, 5, 0, 5, 5, 0, 0, 0, 5, 5, 0, 0, 0, 5], [5, 0, 5, 0, 5, 0, 0, 0, 0, 0, 5, 5, 0, 5, 0, 5, 0, 5, 0, 5], [0, 5, 5, 0, 5, 5, 5, 5, 0, 0, 5, 5, 5, 5, 0, 5, 0, 0, 5, 0], [0, 0, 5, 5, 0, 5, 5, 0, 0, 0, 0, 0, 5, 0, 5, 0, 0, 5, 5, 5], [5, 0, 0, 0, 5, 0, 0, 5, 5, 5, 5, 5, 0, 5, 5, 0, 5, 5, 5, 0], [5, 5, 5, 5, 0, 5, 5, 5, 5, 0, 5, 0, 0, 5, 0, 5, 5, 5, 0, 5], [0, 0, 5, 0, 5, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 5, 5, 0, 5, 0], [5, 0, 5, 0, 0, 5, 5, 5, 0, 5, 0, 5, 5, 5, 0, 5, 0, 5, 0, 0], [0, 0, 5, 0, 5, 5, 5, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 0, 5, 5, 0, 5, 0, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0], [0, 0, 0, 5, 0, 5, 5, 5, 0, 5, 0, 5, 0, 0, 0, 0, 5, 5, 0, 0], [5, 0, 0, 0, 5, 5, 0, 5, 5, 0, 0, 5, 5, 0, 0, 0, 5, 5, 5, 5], [6, 0, 0, 6, 6, 6, 0, 6, 0, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 0], [0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 0], [0, 6, 0, 6, 6, 6, 0, 0, 6, 0, 6, 0, 0, 6, 6, 6, 6, 0, 0, 6], [0, 0, 6, 6, 0, 0, 6, 0, 6, 0, 0, 0, 6, 0, 6, 6, 6, 0, 6, 0], [6, 6, 6, 6, 6, 6, 0, 0, 0, 6, 6, 6, 6, 6, 0, 0, 0, 0, 6, 6], [0, 6, 6, 0, 0, 0, 0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 6], [0, 0, 6, 0, 0, 6, 6, 6, 6, 0, 0, 6, 6, 6, 6, 0, 0, 0, 6, 6], [6, 0, 0, 6, 0, 6, 0, 0, 6, 6, 0, 6, 6, 0, 6, 0, 0, 0, 6, 6], [6, 6, 6, 0, 6, 0, 0, 6, 0, 6, 0, 0, 0, 6, 6, 0, 6, 0, 6, 6], [0, 6, 6, 0, 6, 0, 0, 0, 6, 6, 0, 0, 0, 6, 0, 6, 0, 0, 0, 6], [6, 0, 0, 6, 0, 0, 6, 0, 6, 0, 0, 6, 6, 0, 0, 6, 0, 0, 6, 0], [6, 6, 0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0], [6, 6, 0, 6, 0, 0, 0, 6, 6, 6, 6, 6, 0, 6, 6, 6, 6, 0, 0, 0], [6, 0, 0, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0, 0, 6, 6, 0, 0, 0, 6], [0, 6, 0, 6, 0, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6, 0, 0, 0, 6], [6, 6, 0, 6, 6, 0, 0, 0, 0, 0, 6, 6, 0, 6, 0, 0, 0, 6, 0, 0], [0, 0, 6, 0, 0, 0, 0, 6, 0, 0, 6, 6, 0, 6, 0, 6, 0, 6, 6, 0], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 6, 6, 0, 6, 6, 6, 6], [6, 0, 6, 6, 0, 0, 6, 0, 6, 0, 0, 0, 6, 0, 6, 0, 6, 6, 6, 0], [6, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 0, 6, 6, 6, 0, 6, 6, 6, 6]] -> [[0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 0, 7, 0, 0, 0, 0, 0], [7, 0, 7, 0, 0, 7, 7, 0, 7, 0, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0], [0, 0, 0, 0, 7, 7, 0, 0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 0, 0, 0], [0, 7, 0, 7, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 0], [7, 0, 7, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 7, 0], [7, 7, 0, 7, 7, 7, 7, 0, 7, 7, 0, 7, 0, 7, 7, 7, 7, 7, 7, 0], [0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 7, 0], [0, 7, 7, 0, 0, 0, 7, 7, 0, 7, 7, 0, 7, 0, 0, 7, 7, 0, 0, 0], [7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7], [7, 7, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 7, 0, 0], [0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7, 7, 0, 0, 7, 0, 0, 7, 0], [7, 7, 7, 0, 0, 0, 7, 7, 7, 7, 7, 7, 0, 7, 0, 7, 7, 0, 7, 7], [7, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 0, 7, 7, 0, 7, 0, 0, 0], [0, 7, 7, 7, 7, 0, 0, 0, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0], [0, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 0, 7, 0, 0, 7, 0, 0, 0, 0], [0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0], [7, 7, 7, 0, 7, 0, 0, 7, 0, 7, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7], [0, 0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0], [0, 0, 0, 0, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 5, 0, 0, 5, 0, 0, 0, 0, 5, 0], [5, 5, 5, 5, 0, 0, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 0, 5, 5, 5], [0, 5, 5, 0, 0, 0, 5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 5, 5, 0, 5], [5, 5, 5, 0, 5, 0, 0, 5, 5, 5, 0, 5, 5, 5, 5, 5, 0, 0, 5, 0], [5, 0, 5, 0, 0, 0, 0, 5, 5, 0, 5, 0, 0, 5, 0, 5, 0, 5, 0, 0], [5, 0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 5, 5, 0, 0, 5, 0, 5, 5, 5], [0, 0, 5, 5, 0, 0, 5, 0, 0, 5, 5, 0, 0, 0, 0, 5, 5, 5, 0, 5], [0, 0, 5, 5, 0, 5, 5, 5, 0, 5, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5], [5, 0, 5, 5, 0, 5, 0, 5, 0, 0, 5, 5, 0, 5, 5, 5, 5, 5, 5, 0], [0, 5, 5, 0, 5, 5, 0, 5, 5, 0, 0, 5, 0, 5, 0, 0, 5, 5, 5, 5], [0, 5, 0, 0, 5, 0, 5, 5, 0, 0, 5, 5, 5, 5, 0, 0, 0, 0, 5, 5], [5, 5, 0, 5, 0, 0, 5, 5, 0, 0, 0, 0, 5, 5, 0, 0, 5, 5, 5, 0], [0, 0, 5, 0, 5, 0, 5, 5, 5, 0, 5, 0, 5, 5, 5, 5, 0, 5, 5, 5], [5, 0, 5, 5, 0, 0, 0, 5, 5, 0, 0, 5, 0, 5, 5, 0, 0, 5, 0, 5], [0, 5, 5, 0, 5, 5, 5, 0, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0], [5, 0, 0, 5, 5, 5, 5, 0, 5, 0, 5, 5, 0, 0, 5, 5, 0, 5, 5, 0], [0, 5, 0, 0, 5, 0, 0, 5, 0, 5, 5, 0, 0, 0, 0, 5, 0, 0, 5, 5], [5, 0, 5, 5, 5, 0, 0, 5, 0, 0, 5, 5, 0, 5, 0, 0, 5, 0, 0, 5], [0, 0, 5, 0, 0, 5, 5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 0, 0, 5, 5], [0, 5, 5, 0, 5, 0, 0, 5, 0, 5, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0], [6, 6, 6, 0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 0], [6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 0, 6, 6, 6, 6, 0, 0, 0, 0], [0, 6, 6, 6, 0, 6, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6], [6, 6, 0, 6, 0, 0, 0, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 0], [0, 0, 6, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 6, 0, 0, 0, 6], [0, 0, 0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 0, 0, 6, 0, 6, 0, 6, 6], [0, 0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 6, 0, 6, 0, 0, 6, 0, 0, 0], [0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0, 0, 0, 6, 0], [6, 0, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 6, 6, 0, 0], [6, 6, 6, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0], [6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 0], [0, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 0, 0, 6, 6, 6, 6, 0, 0], [6, 0, 6, 6, 6, 6, 6, 0, 0, 6, 6, 0, 6, 6, 0, 6, 6, 6, 6, 6], [0, 0, 6, 6, 6, 0, 0, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 0], [6, 6, 0, 0, 6, 6, 0, 0, 0, 6, 6, 6, 6, 0, 0, 6, 6, 0, 6, 0], [0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 0, 6], [0, 0, 6, 0, 6, 0, 6, 6, 6, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6], [0, 6, 6, 0, 6, 6, 0, 6, 0, 6, 0, 0, 0, 6, 0, 6, 0, 6, 0, 0], [6, 0, 6, 0, 6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 0, 0], [0, 6, 6, 6, 0, 0, 6, 6, 0, 6, 0, 0, 6, 6, 0, 0, 6, 0, 6, 0]] -> [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0], [0, 0, 0, 0, 7, 7, 7, 0, 7, 7, 7, 0, 0, 7, 0, 7, 0, 7, 7, 7], [0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7], [0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 7, 0, 7, 7, 7, 7, 0, 7, 0, 0], [0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 0], [7, 0, 0, 7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 0, 0], [0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0], [0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 0, 7, 7, 0, 0, 7], [7, 0, 7, 7, 0, 7, 0, 7, 0, 0, 0, 7, 0, 7, 7, 0, 7, 7, 0, 0], [7, 0, 0, 7, 7, 0, 7, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7, 7], [0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0], [7, 7, 7, 0, 0, 7, 0, 0, 7, 7, 7, 0, 7, 7, 7, 7, 0, 0, 7, 0], [0, 0, 7, 0, 7, 0, 7, 0, 0, 0, 7, 0, 7, 7, 0, 7, 0, 7, 7, 7], [7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 7, 0, 0, 7, 7, 0, 0, 7, 7, 7], [0, 7, 0, 0, 7, 7, 0, 0, 0, 7, 7, 7, 7, 0, 0, 7, 7, 0, 0, 0], [7, 0, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 7], [0, 0, 0, 0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 7, 0, 0, 7, 7], [7, 7, 0, 7, 0, 7, 0, 0, 0, 7, 7, 7, 0, 0, 0, 7, 7, 7, 0, 7], [0, 0, 7, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0], [0, 0, 0, 7, 7, 0, 7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 5, 0, 0, 5, 0, 0, 0, 0, 5, 0], [5, 5, 5, 5, 0, 0, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 0, 5, 5, 5], [0, 5, 5, 0, 0, 0, 5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 5, 5, 0, 5], [5, 5, 5, 0, 5, 0, 0, 5, 5, 5, 0, 5, 5, 5, 5, 5, 0, 0, 5, 0], [5, 0, 5, 0, 0, 0, 0, 5, 5, 0, 5, 0, 0, 5, 0, 5, 0, 5, 0, 0], [5, 0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 5, 5, 0, 0, 5, 0, 5, 5, 5], [0, 0, 5, 5, 0, 0, 5, 0, 0, 5, 5, 0, 0, 0, 0, 5, 5, 5, 0, 5], [0, 0, 5, 5, 0, 5, 5, 5, 0, 5, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5], [5, 0, 5, 5, 0, 5, 0, 5, 0, 0, 5, 5, 0, 5, 5, 5, 5, 5, 5, 0], [0, 5, 5, 0, 5, 5, 0, 5, 5, 0, 0, 5, 0, 5, 0, 0, 5, 5, 5, 5], [0, 5, 0, 0, 5, 0, 5, 5, 0, 0, 5, 5, 5, 5, 0, 0, 0, 0, 5, 5], [5, 5, 0, 5, 0, 0, 5, 5, 0, 0, 0, 0, 5, 5, 0, 0, 5, 5, 5, 0], [0, 0, 5, 0, 5, 0, 5, 5, 5, 0, 5, 0, 5, 5, 5, 5, 0, 5, 5, 5], [5, 0, 5, 5, 0, 0, 0, 5, 5, 0, 0, 5, 0, 5, 5, 0, 0, 5, 0, 5], [0, 5, 5, 0, 5, 5, 5, 0, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0], [5, 0, 0, 5, 5, 5, 5, 0, 5, 0, 5, 5, 0, 0, 5, 5, 0, 5, 5, 0], [0, 5, 0, 0, 5, 0, 0, 5, 0, 5, 5, 0, 0, 0, 0, 5, 0, 0, 5, 5], [5, 0, 5, 5, 5, 0, 0, 5, 0, 0, 5, 5, 0, 5, 0, 0, 5, 0, 0, 5], [0, 0, 5, 0, 0, 5, 5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 0, 0, 5, 5], [0, 5, 5, 0, 5, 0, 0, 5, 0, 5, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0], [6, 6, 6, 0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 0], [6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 0, 6, 6, 6, 6, 0, 0, 0, 0], [0, 6, 6, 6, 0, 6, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6], [6, 6, 0, 6, 0, 0, 0, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 0], [0, 0, 6, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 6, 0, 0, 0, 6], [0, 0, 0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 0, 0, 6, 0, 6, 0, 6, 6], [0, 0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 6, 0, 6, 0, 0, 6, 0, 0, 0], [0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0, 0, 0, 6, 0], [6, 0, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 6, 6, 0, 0], [6, 6, 6, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0], [6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 0], [0, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 0, 0, 6, 6, 6, 6, 0, 0], [6, 0, 6, 6, 6, 6, 6, 0, 0, 6, 6, 0, 6, 6, 0, 6, 6, 6, 6, 6], [0, 0, 6, 6, 6, 0, 0, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 0], [6, 6, 0, 0, 6, 6, 0, 0, 0, 6, 6, 6, 6, 0, 0, 6, 6, 0, 6, 0], [0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 0, 6], [0, 0, 6, 0, 6, 0, 6, 6, 6, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6], [0, 6, 6, 0, 6, 6, 0, 6, 0, 6, 0, 0, 0, 6, 0, 6, 0, 6, 0, 0], [6, 0, 6, 0, 6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 0, 0], [0, 6, 6, 6, 0, 0, 6, 6, 0, 6, 0, 0, 6, 6, 0, 0, 6, 0, 6, 0]] -> [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0], [0, 0, 0, 0, 7, 7, 7, 0, 7, 7, 7, 0, 0, 7, 0, 7, 0, 7, 7, 7], [0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7], [0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 7, 0, 7, 7, 7, 7, 0, 7, 0, 0], [0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 0], [7, 0, 0, 7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 0, 0], [0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0], [0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 0, 7, 7, 0, 0, 7], [7, 0, 7, 7, 0, 7, 0, 7, 0, 0, 0, 7, 0, 7, 7, 0, 7, 7, 0, 0], [7, 0, 0, 7, 7, 0, 7, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7, 7], [0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0], [7, 7, 7, 0, 0, 7, 0, 0, 7, 7, 7, 0, 7, 7, 7, 7, 0, 0, 7, 0], [0, 0, 7, 0, 7, 0, 7, 0, 0, 0, 7, 0, 7, 7, 0, 7, 0, 7, 7, 7], [7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 7, 0, 0, 7, 7, 0, 0, 7, 7, 7], [0, 7, 0, 0, 7, 7, 0, 0, 0, 7, 7, 7, 7, 0, 0, 7, 7, 0, 0, 0], [7, 0, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 7], [0, 0, 0, 0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 7, 0, 0, 7, 7], [7, 7, 0, 7, 0, 7, 0, 0, 0, 7, 7, 7, 0, 0, 0, 7, 7, 7, 0, 7], [0, 0, 7, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0], [0, 0, 0, 7, 7, 0, 7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[5, 5, 0, 0, 5, 0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 0, 5, 5, 5, 5], [5, 5, 0, 0, 0, 0, 0, 0, 5, 5, 5, 5, 0, 5, 0, 5, 0, 5, 0, 0], [5, 0, 5, 5, 5, 5, 0, 0, 0, 0, 5, 0, 5, 5, 5, 0, 5, 5, 5, 0], [0, 5, 0, 0, 0, 5, 5, 5, 5, 0, 0, 5, 5, 0, 5, 0, 5, 0, 5, 0], [0, 0, 5, 0, 0, 5, 0, 5, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 0, 5], [0, 5, 0, 5, 5, 0, 5, 5, 5, 0, 0, 5, 5, 0, 0, 5, 5, 0, 5, 5], [0, 0, 5, 0, 5, 0, 5, 5, 5, 0, 0, 0, 0, 0, 5, 0, 0, 5, 5, 5], [0, 0, 0, 0, 5, 0, 5, 5, 0, 0, 5, 0, 0, 0, 0, 5, 0, 5, 0, 0], [5, 5, 0, 5, 0, 5, 0, 5, 5, 0, 0, 5, 5, 0, 5, 0, 5, 5, 5, 5], [5, 5, 0, 5, 0, 0, 5, 0, 5, 5, 0, 0, 5, 5, 0, 5, 5, 0, 5, 0], [5, 5, 5, 0, 5, 0, 5, 5, 0, 0, 5, 0, 5, 5, 5, 0, 5, 0, 5, 5], [0, 5, 0, 5, 5, 5, 0, 5, 0, 5, 0, 5, 0, 5, 5, 5, 5, 0, 5, 5], [0, 0, 0, 5, 5, 5, 5, 0, 0, 5, 5, 0, 5, 5, 0, 0, 0, 0, 5, 0], [0, 5, 5, 0, 0, 5, 5, 5, 0, 5, 0, 5, 5, 5, 5, 0, 5, 0, 0, 5], [0, 0, 0, 0, 0, 5, 5, 5, 5, 5, 0, 5, 0, 0, 5, 5, 0, 5, 5, 0], [5, 0, 5, 0, 0, 0, 5, 0, 5, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5], [5, 5, 5, 0, 0, 5, 0, 0, 0, 0, 0, 5, 5, 0, 0, 5, 5, 5, 5, 5], [5, 5, 0, 5, 5, 5, 0, 0, 0, 5, 0, 5, 5, 5, 5, 5, 5, 5, 0, 0], [5, 5, 5, 0, 5, 0, 5, 0, 5, 0, 5, 0, 5, 5, 5, 0, 5, 0, 5, 5], [0, 0, 0, 5, 5, 0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            5,
+                            5,
+                            0,
+                            0,
+                            5,
+                            0,
+                            0,
+                            0,
+                            5,
+                            5,
+                            0,
+                            0,
+                            0,
+                            5,
+                            5,
+                            0,
+                            5,
+                            5,
+                            5,
+                            5
+                        ],
+                        [
+                            5,
+                            5,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            5,
+                            5,
+                            5,
+                            5,
+                            0,
+                            5,
+                            0,
+                            5,
+                            0,
+                            5,
+                            0,
+                            0
+                        ],
+                        [
+                            5,
+                            0,
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+                        [
+                            0,
+                            0,
+                            7,
+                            0,
+                            0,
+                            0,
+                            7,
+                            7,
+                            7,
+                            0,
+                            7,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            7,
+                            7
+                        ],
+                        [
+                            7,
+                            7,
+                            7,
+                            0,
+                            7,
+                            0,
+                            7,
+                            0,
+                            7,
+                            0,
+                            7,
+                            0,
+                            7,
+                            7,
+                            7,
+                            0,
+                            7,
+                            0,
+                            7,
+                            7
+                        ],
+                        [
+                            7,
+                            7,
+                            7,
+                            0,
+                            0,
+                            7,
+                            0,
+                            7,
+                            0,
+                            7,
+                            7,
+                            7,
+                            7,
+                            7,
+                            7,
+                            7,
+                            7,
+                            7,
+                            7,
+                            0
+                        ]
+                    ]
+                }
+            },
+            "Replicate 2": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[5, 0, 5, 5, 0, 5, 5, 0, 0, 5, 0, 5, 5, 0, 5, 5, 0, 0, 0, 5], [0, 5, 0, 5, 0, 5, 5, 5, 0, 5, 0, 5, 0, 5, 0, 5, 0, 0, 5, 5], [5, 5, 0, 5, 0, 0, 5, 0, 0, 0, 5, 0, 5, 5, 5, 0, 5, 5, 0, 5], [0, 5, 5, 5, 0, 5, 5, 5, 0, 0, 5, 0, 0, 5, 5, 0, 5, 0, 0, 0], [5, 0, 5, 5, 5, 0, 5, 5, 0, 5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 5], [0, 0, 0, 0, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 5, 5], [5, 5, 0, 0, 0, 5, 5, 0, 0, 0, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5], [0, 5, 5, 0, 5, 5, 0, 0, 5, 5, 0, 0, 0, 0, 5, 0, 5, 5, 0, 5], [5, 5, 0, 5, 5, 0, 0, 5, 5, 5, 0, 5, 0, 5, 5, 5, 5, 5, 0, 5], [0, 0, 5, 0, 5, 0, 0, 0, 5, 0, 0, 5, 5, 0, 0, 5, 0, 0, 0, 5], [5, 0, 5, 5, 0, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 5, 5, 5, 0], [0, 0, 0, 5, 5, 0, 5, 0, 5, 0, 5, 5, 0, 0, 0, 5, 0, 0, 5, 0], [0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 5, 5, 0, 0, 5, 0, 0, 5, 0, 5], [0, 0, 5, 0, 5, 0, 0, 0, 5, 5, 5, 0, 5, 0, 0, 5, 5, 0, 5, 5], [5, 0, 5, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 5, 0, 0, 0, 5, 0], [0, 5, 0, 5, 0, 0, 5, 5, 0, 5, 0, 0, 5, 0, 0, 0, 5, 5, 5, 5], [0, 5, 5, 5, 0, 5, 5, 5, 0, 0, 5, 5, 5, 0, 0, 5, 0, 5, 0, 0], [0, 5, 5, 5, 5, 0, 0, 5, 0, 5, 0, 5, 0, 5, 0, 5, 5, 0, 0, 0], [0, 0, 5, 0, 5, 5, 0, 0, 5, 5, 5, 0, 5, 5, 0, 0, 0, 0, 5, 0], [5, 5, 5, 0, 0, 5, 0, 0, 5, 0, 5, 5, 0, 5, 5, 5, 0, 5, 5, 5], [0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 6, 0, 0, 6], [6, 6, 0, 6, 0, 6, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 0], [0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0, 0], [0, 6, 6, 0, 0, 0, 6, 6, 6, 0, 6, 6, 0, 0, 6, 6, 6, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0], [6, 6, 0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 6, 0, 0, 0, 6, 0, 0, 0], [0, 6, 6, 0, 6, 6, 6, 6, 0, 0, 6, 6, 6, 6, 6, 0, 6, 0, 0, 6], [6, 6, 0, 0, 6, 0, 0, 0, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6, 0, 0], [0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6], [0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 6, 0, 0, 6, 6, 0, 6, 6], [6, 6, 0, 0, 0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6], [6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6], [0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 0, 6, 6, 0, 6, 0, 6, 0, 6], [6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 0, 6, 0], [6, 6, 6, 0, 0, 6, 0, 0, 0, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6], [0, 0, 0, 6, 0, 6, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6], [0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 6, 0, 6], [0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 0, 6, 6, 6, 6, 0, 6, 6, 0, 6]] -> [[0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 7], [7, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 0, 7, 0, 7, 7, 0, 7], [0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0, 0], [0, 0, 0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 0, 7, 0, 7, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 7, 0, 0, 7, 0, 0], [0, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 0, 0, 7, 7, 7, 7], [7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 0, 0, 7, 0, 0], [7, 7, 0, 0, 7, 0, 0, 0, 0, 7, 0, 7, 0, 0, 7, 7, 7, 7, 0, 0], [0, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0], [0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 7, 7, 0, 7, 0], [7, 7, 0, 7, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0, 7], [0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 7, 0, 0, 7, 0, 0, 7, 7, 7, 0], [7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0], [7, 0, 7, 7, 0, 7, 7, 7, 0, 0, 7, 7, 0, 7, 0, 0, 7, 7, 7, 0], [0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0], [0, 0, 0, 7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 7, 0, 0, 7, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0], [7, 0, 0, 7, 0, 7, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 7, 0, 7, 0]]\nExample input-output arrays:\n[[0, 5, 0, 0, 5, 5, 5, 0, 0, 0, 5, 5, 5, 0, 0, 5, 5, 5, 5, 5], [0, 0, 5, 5, 0, 5, 0, 0, 5, 0, 0, 5, 5, 5, 5, 5, 5, 0, 0, 0], [0, 0, 0, 5, 5, 0, 5, 0, 5, 5, 0, 5, 0, 0, 0, 0, 5, 5, 0, 0], [0, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 0, 5, 0, 5, 5, 5, 0, 5, 0], [0, 0, 5, 5, 0, 5, 5, 0, 5, 5, 5, 0, 5, 0, 5, 0, 0, 0, 5, 5], [0, 0, 0, 5, 5, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 5], [0, 5, 0, 5, 5, 5, 5, 0, 0, 5, 0, 0, 5, 0, 0, 5, 0, 0, 0, 5], [0, 5, 0, 0, 5, 5, 5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 0, 5, 5, 5], [5, 5, 5, 0, 5, 5, 0, 0, 5, 5, 0, 5, 5, 5, 0, 0, 0, 5, 0, 0], [5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 5, 5, 5, 0, 5, 5, 5, 0, 0, 0], [0, 0, 5, 0, 0, 0, 5, 5, 5, 0, 5, 0, 5, 5, 0, 0, 0, 5, 0, 0], [5, 0, 5, 5, 5, 5, 5, 5, 5, 5, 0, 5, 5, 5, 0, 5, 5, 0, 0, 0], [0, 5, 0, 5, 5, 5, 0, 5, 0, 5, 5, 5, 5, 0, 5, 0, 5, 0, 0, 5], [5, 5, 5, 0, 0, 5, 5, 5, 5, 5, 5, 0, 5, 5, 0, 0, 5, 0, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0, 5, 5, 0, 5, 5, 5, 0, 5, 5], [5, 0, 5, 5, 0, 0, 5, 0, 0, 5, 5, 0, 0, 0, 5, 5, 5, 0, 5, 0], [5, 5, 5, 0, 0, 0, 0, 0, 5, 5, 5, 5, 5, 5, 0, 0, 5, 0, 0, 0], [0, 5, 0, 5, 5, 5, 0, 5, 5, 0, 5, 0, 5, 0, 5, 5, 0, 5, 5, 5], [0, 5, 5, 0, 5, 5, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 5, 5, 5, 5], [5, 5, 0, 0, 5, 0, 0, 5, 5, 5, 0, 5, 0, 5, 5, 5, 0, 0, 0, 0], [0, 0, 6, 0, 0, 6, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 6, 6, 6, 6], [6, 6, 6, 6, 0, 0, 0, 6, 6, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6, 6], [0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 0, 0, 6], [6, 6, 6, 0, 0, 6, 0, 0, 0, 6, 0, 6, 0, 0, 0, 6, 0, 0, 6, 6], [0, 0, 0, 6, 6, 0, 6, 6, 6, 6, 6, 0, 6, 0, 0, 6, 6, 0, 0, 0], [0, 0, 6, 6, 6, 6, 0, 6, 0, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0, 0], [6, 6, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6], [0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 0, 6, 0, 0, 0, 6, 0, 0, 6, 6], [0, 0, 6, 0, 6, 6, 0, 6, 0, 6, 0, 0, 6, 6, 0, 6, 0, 0, 0, 6], [0, 0, 0, 0, 6, 6, 0, 6, 0, 6, 6, 6, 0, 0, 0, 0, 6, 0, 6, 6], [0, 0, 6, 6, 0, 6, 0, 0, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 0, 0], [6, 0, 6, 6, 0, 6, 0, 0, 6, 0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 0], [6, 0, 6, 6, 0, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0, 6, 0, 0, 6, 0], [6, 6, 0, 0, 6, 0, 6, 0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 0, 6, 0], [6, 6, 0, 6, 0, 6, 6, 6, 0, 6, 0, 0, 0, 0, 6, 0, 0, 0, 6, 0], [0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6], [0, 0, 6, 0, 6, 6, 6, 0, 0, 6, 6, 0, 6, 6, 0, 6, 0, 6, 0, 0], [0, 0, 6, 6, 6, 6, 0, 0, 6, 6, 0, 6, 0, 0, 6, 6, 6, 0, 0, 0], [0, 6, 6, 0, 6, 0, 0, 6, 6, 6, 6, 0, 6, 0, 0, 0, 6, 6, 6, 6], [6, 0, 6, 0, 0, 6, 6, 0, 6, 0, 6, 0, 0, 6, 6, 0, 0, 6, 6, 6]] -> [[0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7, 7, 7, 7], [7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 7, 7, 7, 7, 0, 0, 7, 7], [0, 0, 0, 7, 0, 0, 7, 0, 7, 7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0], [7, 7, 0, 0, 7, 7, 0, 7, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7], [0, 0, 0, 7, 0, 0, 7, 0, 7, 7, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 7, 0, 0, 0, 7], [0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7], [0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0], [0, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0], [7, 7, 7, 7, 0, 0, 7, 0, 7, 7, 0, 0, 7, 0, 7, 7, 0, 0, 7, 7], [0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 7, 0, 7, 7, 0, 7, 0, 7, 7, 7, 7, 0, 7, 0, 7, 0], [0, 0, 0, 7, 0, 0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 7, 0, 7, 7, 0, 7, 7, 0, 0, 0, 7, 0, 7, 0, 7, 0, 0, 7], [7, 7, 0, 7, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0], [7, 7, 7, 0, 0, 7, 0, 7, 7, 0, 0, 7, 7, 0, 0, 0, 7, 0, 7, 7], [0, 0, 7, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 7, 0, 0, 0, 0, 0, 0], [0, 7, 7, 0, 0, 0, 0, 7, 0, 7, 7, 7, 7, 0, 0, 0, 7, 7, 7, 7], [0, 7, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 7, 7, 7], [0, 7, 7, 0, 7, 7, 7, 7, 0, 7, 7, 7, 0, 0, 0, 7, 0, 7, 7, 7]]\nExample input-output arrays:\n[[0, 5, 0, 0, 5, 5, 5, 0, 0, 0, 5, 5, 5, 0, 0, 5, 5, 5, 5, 5], [0, 0, 5, 5, 0, 5, 0, 0, 5, 0, 0, 5, 5, 5, 5, 5, 5, 0, 0, 0], [0, 0, 0, 5, 5, 0, 5, 0, 5, 5, 0, 5, 0, 0, 0, 0, 5, 5, 0, 0], [0, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 0, 5, 0, 5, 5, 5, 0, 5, 0], [0, 0, 5, 5, 0, 5, 5, 0, 5, 5, 5, 0, 5, 0, 5, 0, 0, 0, 5, 5], [0, 0, 0, 5, 5, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 5], [0, 5, 0, 5, 5, 5, 5, 0, 0, 5, 0, 0, 5, 0, 0, 5, 0, 0, 0, 5], [0, 5, 0, 0, 5, 5, 5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 0, 5, 5, 5], [5, 5, 5, 0, 5, 5, 0, 0, 5, 5, 0, 5, 5, 5, 0, 0, 0, 5, 0, 0], [5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 5, 5, 5, 0, 5, 5, 5, 0, 0, 0], [0, 0, 5, 0, 0, 0, 5, 5, 5, 0, 5, 0, 5, 5, 0, 0, 0, 5, 0, 0], [5, 0, 5, 5, 5, 5, 5, 5, 5, 5, 0, 5, 5, 5, 0, 5, 5, 0, 0, 0], [0, 5, 0, 5, 5, 5, 0, 5, 0, 5, 5, 5, 5, 0, 5, 0, 5, 0, 0, 5], [5, 5, 5, 0, 0, 5, 5, 5, 5, 5, 5, 0, 5, 5, 0, 0, 5, 0, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0, 5, 5, 0, 5, 5, 5, 0, 5, 5], [5, 0, 5, 5, 0, 0, 5, 0, 0, 5, 5, 0, 0, 0, 5, 5, 5, 0, 5, 0], [5, 5, 5, 0, 0, 0, 0, 0, 5, 5, 5, 5, 5, 5, 0, 0, 5, 0, 0, 0], [0, 5, 0, 5, 5, 5, 0, 5, 5, 0, 5, 0, 5, 0, 5, 5, 0, 5, 5, 5], [0, 5, 5, 0, 5, 5, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 5, 5, 5, 5], [5, 5, 0, 0, 5, 0, 0, 5, 5, 5, 0, 5, 0, 5, 5, 5, 0, 0, 0, 0], [0, 0, 6, 0, 0, 6, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 6, 6, 6, 6], [6, 6, 6, 6, 0, 0, 0, 6, 6, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6, 6], [0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 0, 0, 6], [6, 6, 6, 0, 0, 6, 0, 0, 0, 6, 0, 6, 0, 0, 0, 6, 0, 0, 6, 6], [0, 0, 0, 6, 6, 0, 6, 6, 6, 6, 6, 0, 6, 0, 0, 6, 6, 0, 0, 0], [0, 0, 6, 6, 6, 6, 0, 6, 0, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0, 0], [6, 6, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6], [0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 0, 6, 0, 0, 0, 6, 0, 0, 6, 6], [0, 0, 6, 0, 6, 6, 0, 6, 0, 6, 0, 0, 6, 6, 0, 6, 0, 0, 0, 6], [0, 0, 0, 0, 6, 6, 0, 6, 0, 6, 6, 6, 0, 0, 0, 0, 6, 0, 6, 6], [0, 0, 6, 6, 0, 6, 0, 0, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 0, 0], [6, 0, 6, 6, 0, 6, 0, 0, 6, 0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 0], [6, 0, 6, 6, 0, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0, 6, 0, 0, 6, 0], [6, 6, 0, 0, 6, 0, 6, 0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 0, 6, 0], [6, 6, 0, 6, 0, 6, 6, 6, 0, 6, 0, 0, 0, 0, 6, 0, 0, 0, 6, 0], [0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6], [0, 0, 6, 0, 6, 6, 6, 0, 0, 6, 6, 0, 6, 6, 0, 6, 0, 6, 0, 0], [0, 0, 6, 6, 6, 6, 0, 0, 6, 6, 0, 6, 0, 0, 6, 6, 6, 0, 0, 0], [0, 6, 6, 0, 6, 0, 0, 6, 6, 6, 6, 0, 6, 0, 0, 0, 6, 6, 6, 6], [6, 0, 6, 0, 0, 6, 6, 0, 6, 0, 6, 0, 0, 6, 6, 0, 0, 6, 6, 6]] -> [[0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7, 7, 7, 7], [7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 7, 7, 7, 7, 0, 0, 7, 7], [0, 0, 0, 7, 0, 0, 7, 0, 7, 7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0], [7, 7, 0, 0, 7, 7, 0, 7, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7], [0, 0, 0, 7, 0, 0, 7, 0, 7, 7, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 7, 0, 0, 0, 7], [0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7], [0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0], [0, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0], [7, 7, 7, 7, 0, 0, 7, 0, 7, 7, 0, 0, 7, 0, 7, 7, 0, 0, 7, 7], [0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 7, 0, 7, 7, 0, 7, 0, 7, 7, 7, 7, 0, 7, 0, 7, 0], [0, 0, 0, 7, 0, 0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 7, 0, 7, 7, 0, 7, 7, 0, 0, 0, 7, 0, 7, 0, 7, 0, 0, 7], [7, 7, 0, 7, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0], [7, 7, 7, 0, 0, 7, 0, 7, 7, 0, 0, 7, 7, 0, 0, 0, 7, 0, 7, 7], [0, 0, 7, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 7, 0, 0, 0, 0, 0, 0], [0, 7, 7, 0, 0, 0, 0, 7, 0, 7, 7, 7, 7, 0, 0, 0, 7, 7, 7, 7], [0, 7, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 7, 7, 7], [0, 7, 7, 0, 7, 7, 7, 7, 0, 7, 7, 7, 0, 0, 0, 7, 0, 7, 7, 7]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2], [0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0], [0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0], [0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0], [0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2], [0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2], [0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2], [0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2], [2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0], [2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0], [0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0], [2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0], [0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2], [2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2], [2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0], [2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0], [0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2], [0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2], [2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0], [0, 0, 6, 0, 0, 6, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 6, 6, 6, 6], [6, 6, 6, 6, 0, 0, 0, 6, 6, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6, 6], [0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 0, 0, 6], [6, 6, 6, 0, 0, 6, 0, 0, 0, 6, 0, 6, 0, 0, 0, 6, 0, 0, 6, 6], [0, 0, 0, 6, 6, 0, 6, 6, 6, 6, 6, 0, 6, 0, 0, 6, 6, 0, 0, 0], [0, 0, 6, 6, 6, 6, 0, 6, 0, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0, 0], [6, 6, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6], [0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 0, 6, 0, 0, 0, 6, 0, 0, 6, 6], [0, 0, 6, 0, 6, 6, 0, 6, 0, 6, 0, 0, 6, 6, 0, 6, 0, 0, 0, 6], [0, 0, 0, 0, 6, 6, 0, 6, 0, 6, 6, 6, 0, 0, 0, 0, 6, 0, 6, 6], [0, 0, 6, 6, 0, 6, 0, 0, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 0, 0], [6, 0, 6, 6, 0, 6, 0, 0, 6, 0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 0], [6, 0, 6, 6, 0, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0, 6, 0, 0, 6, 0], [6, 6, 0, 0, 6, 0, 6, 0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 0, 6, 0], [6, 6, 0, 6, 0, 6, 6, 6, 0, 6, 0, 0, 0, 0, 6, 0, 0, 0, 6, 0], [0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6], [0, 0, 6, 0, 6, 6, 6, 0, 0, 6, 6, 0, 6, 6, 0, 6, 0, 6, 0, 0], [0, 0, 6, 6, 6, 6, 0, 0, 6, 6, 0, 6, 0, 0, 6, 6, 6, 0, 0, 0], [0, 6, 6, 0, 6, 0, 0, 6, 6, 6, 6, 0, 6, 0, 0, 0, 6, 6, 6, 6], [6, 0, 6, 0, 0, 6, 6, 0, 6, 0, 6, 0, 0, 6, 6, 0, 0, 6, 6, 6]] -> ",
+                "test": {
+                    "input": [
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+            "Replicate 3": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 5, 0, 0, 5, 0, 0, 0, 0, 5, 0], [5, 5, 5, 5, 0, 0, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 0, 5, 5, 5], [0, 5, 5, 0, 0, 0, 5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 5, 5, 0, 5], [5, 5, 5, 0, 5, 0, 0, 5, 5, 5, 0, 5, 5, 5, 5, 5, 0, 0, 5, 0], [5, 0, 5, 0, 0, 0, 0, 5, 5, 0, 5, 0, 0, 5, 0, 5, 0, 5, 0, 0], [5, 0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 5, 5, 0, 0, 5, 0, 5, 5, 5], [0, 0, 5, 5, 0, 0, 5, 0, 0, 5, 5, 0, 0, 0, 0, 5, 5, 5, 0, 5], [0, 0, 5, 5, 0, 5, 5, 5, 0, 5, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5], [5, 0, 5, 5, 0, 5, 0, 5, 0, 0, 5, 5, 0, 5, 5, 5, 5, 5, 5, 0], [0, 5, 5, 0, 5, 5, 0, 5, 5, 0, 0, 5, 0, 5, 0, 0, 5, 5, 5, 5], [0, 5, 0, 0, 5, 0, 5, 5, 0, 0, 5, 5, 5, 5, 0, 0, 0, 0, 5, 5], [5, 5, 0, 5, 0, 0, 5, 5, 0, 0, 0, 0, 5, 5, 0, 0, 5, 5, 5, 0], [0, 0, 5, 0, 5, 0, 5, 5, 5, 0, 5, 0, 5, 5, 5, 5, 0, 5, 5, 5], [5, 0, 5, 5, 0, 0, 0, 5, 5, 0, 0, 5, 0, 5, 5, 0, 0, 5, 0, 5], [0, 5, 5, 0, 5, 5, 5, 0, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0], [5, 0, 0, 5, 5, 5, 5, 0, 5, 0, 5, 5, 0, 0, 5, 5, 0, 5, 5, 0], [0, 5, 0, 0, 5, 0, 0, 5, 0, 5, 5, 0, 0, 0, 0, 5, 0, 0, 5, 5], [5, 0, 5, 5, 5, 0, 0, 5, 0, 0, 5, 5, 0, 5, 0, 0, 5, 0, 0, 5], [0, 0, 5, 0, 0, 5, 5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 0, 0, 5, 5], [0, 5, 5, 0, 5, 0, 0, 5, 0, 5, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0], [6, 6, 6, 0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 0], [6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 0, 6, 6, 6, 6, 0, 0, 0, 0], [0, 6, 6, 6, 0, 6, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6], [6, 6, 0, 6, 0, 0, 0, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 0], [0, 0, 6, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 6, 0, 0, 0, 6], [0, 0, 0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 0, 0, 6, 0, 6, 0, 6, 6], [0, 0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 6, 0, 6, 0, 0, 6, 0, 0, 0], [0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0, 0, 0, 6, 0], [6, 0, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 6, 6, 0, 0], [6, 6, 6, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0], [6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 0], [0, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 0, 0, 6, 6, 6, 6, 0, 0], [6, 0, 6, 6, 6, 6, 6, 0, 0, 6, 6, 0, 6, 6, 0, 6, 6, 6, 6, 6], [0, 0, 6, 6, 6, 0, 0, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 0], [6, 6, 0, 0, 6, 6, 0, 0, 0, 6, 6, 6, 6, 0, 0, 6, 6, 0, 6, 0], [0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 0, 6], [0, 0, 6, 0, 6, 0, 6, 6, 6, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6], [0, 6, 6, 0, 6, 6, 0, 6, 0, 6, 0, 0, 0, 6, 0, 6, 0, 6, 0, 0], [6, 0, 6, 0, 6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 0, 0], [0, 6, 6, 6, 0, 0, 6, 6, 0, 6, 0, 0, 6, 6, 0, 0, 6, 0, 6, 0]] -> [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0], [0, 0, 0, 0, 7, 7, 7, 0, 7, 7, 7, 0, 0, 7, 0, 7, 0, 7, 7, 7], [0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7], [0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 7, 0, 7, 7, 7, 7, 0, 7, 0, 0], [0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 0], [7, 0, 0, 7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 0, 0], [0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0], [0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 0, 7, 7, 0, 0, 7], [7, 0, 7, 7, 0, 7, 0, 7, 0, 0, 0, 7, 0, 7, 7, 0, 7, 7, 0, 0], [7, 0, 0, 7, 7, 0, 7, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7, 7], [0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0], [7, 7, 7, 0, 0, 7, 0, 0, 7, 7, 7, 0, 7, 7, 7, 7, 0, 0, 7, 0], [0, 0, 7, 0, 7, 0, 7, 0, 0, 0, 7, 0, 7, 7, 0, 7, 0, 7, 7, 7], [7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 7, 0, 0, 7, 7, 0, 0, 7, 7, 7], [0, 7, 0, 0, 7, 7, 0, 0, 0, 7, 7, 7, 7, 0, 0, 7, 7, 0, 0, 0], [7, 0, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 7], [0, 0, 0, 0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 7, 0, 0, 7, 7], [7, 7, 0, 7, 0, 7, 0, 0, 0, 7, 7, 7, 0, 0, 0, 7, 7, 7, 0, 7], [0, 0, 7, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0], [0, 0, 0, 7, 7, 0, 7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 0]]\nExample input-output arrays:\n[[0, 5, 0, 0, 5, 0, 0, 0, 0, 0, 5, 5, 0, 0, 5, 0, 0, 0, 0, 5], [5, 0, 0, 5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 5, 5, 0, 0, 5, 5, 0], [0, 0, 5, 0, 5, 5, 5, 5, 5, 0, 5, 5, 5, 5, 0, 0, 5, 0, 5, 0], [0, 5, 5, 0, 5, 5, 5, 5, 5, 5, 0, 5, 5, 5, 0, 0, 5, 5, 0, 0], [5, 0, 5, 0, 0, 5, 0, 0, 5, 0, 5, 0, 0, 5, 5, 5, 0, 0, 5, 0], [5, 0, 5, 5, 5, 5, 5, 0, 0, 5, 5, 0, 5, 0, 0, 0, 5, 0, 0, 5], [0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 5, 0, 5, 0, 5, 0, 5, 0, 5, 0], [5, 5, 5, 5, 0, 5, 5, 5, 5, 0, 5, 5, 0, 0, 5, 5, 5, 0, 5, 5], [5, 0, 5, 0, 0, 0, 0, 5, 0, 5, 5, 0, 0, 0, 5, 5, 0, 0, 0, 5], [5, 0, 5, 0, 5, 0, 0, 0, 0, 0, 5, 5, 0, 5, 0, 5, 0, 5, 0, 5], [0, 5, 5, 0, 5, 5, 5, 5, 0, 0, 5, 5, 5, 5, 0, 5, 0, 0, 5, 0], [0, 0, 5, 5, 0, 5, 5, 0, 0, 0, 0, 0, 5, 0, 5, 0, 0, 5, 5, 5], [5, 0, 0, 0, 5, 0, 0, 5, 5, 5, 5, 5, 0, 5, 5, 0, 5, 5, 5, 0], [5, 5, 5, 5, 0, 5, 5, 5, 5, 0, 5, 0, 0, 5, 0, 5, 5, 5, 0, 5], [0, 0, 5, 0, 5, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 5, 5, 0, 5, 0], [5, 0, 5, 0, 0, 5, 5, 5, 0, 5, 0, 5, 5, 5, 0, 5, 0, 5, 0, 0], [0, 0, 5, 0, 5, 5, 5, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 0, 5, 5, 0, 5, 0, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0], [0, 0, 0, 5, 0, 5, 5, 5, 0, 5, 0, 5, 0, 0, 0, 0, 5, 5, 0, 0], [5, 0, 0, 0, 5, 5, 0, 5, 5, 0, 0, 5, 5, 0, 0, 0, 5, 5, 5, 5], [6, 0, 0, 6, 6, 6, 0, 6, 0, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 0], [0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 0], [0, 6, 0, 6, 6, 6, 0, 0, 6, 0, 6, 0, 0, 6, 6, 6, 6, 0, 0, 6], [0, 0, 6, 6, 0, 0, 6, 0, 6, 0, 0, 0, 6, 0, 6, 6, 6, 0, 6, 0], [6, 6, 6, 6, 6, 6, 0, 0, 0, 6, 6, 6, 6, 6, 0, 0, 0, 0, 6, 6], [0, 6, 6, 0, 0, 0, 0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 6], [0, 0, 6, 0, 0, 6, 6, 6, 6, 0, 0, 6, 6, 6, 6, 0, 0, 0, 6, 6], [6, 0, 0, 6, 0, 6, 0, 0, 6, 6, 0, 6, 6, 0, 6, 0, 0, 0, 6, 6], [6, 6, 6, 0, 6, 0, 0, 6, 0, 6, 0, 0, 0, 6, 6, 0, 6, 0, 6, 6], [0, 6, 6, 0, 6, 0, 0, 0, 6, 6, 0, 0, 0, 6, 0, 6, 0, 0, 0, 6], [6, 0, 0, 6, 0, 0, 6, 0, 6, 0, 0, 6, 6, 0, 0, 6, 0, 0, 6, 0], [6, 6, 0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0], [6, 6, 0, 6, 0, 0, 0, 6, 6, 6, 6, 6, 0, 6, 6, 6, 6, 0, 0, 0], [6, 0, 0, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0, 0, 6, 6, 0, 0, 0, 6], [0, 6, 0, 6, 0, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6, 0, 0, 0, 6], [6, 6, 0, 6, 6, 0, 0, 0, 0, 0, 6, 6, 0, 6, 0, 0, 0, 6, 0, 0], [0, 0, 6, 0, 0, 0, 0, 6, 0, 0, 6, 6, 0, 6, 0, 6, 0, 6, 6, 0], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 6, 6, 0, 6, 6, 6, 6], [6, 0, 6, 6, 0, 0, 6, 0, 6, 0, 0, 0, 6, 0, 6, 0, 6, 6, 6, 0], [6, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 0, 6, 6, 6, 0, 6, 6, 6, 6]] -> [[0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 0, 7, 0, 0, 0, 0, 0], [7, 0, 7, 0, 0, 7, 7, 0, 7, 0, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0], [0, 0, 0, 0, 7, 7, 0, 0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 0, 0, 0], [0, 7, 0, 7, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 0], [7, 0, 7, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 7, 0], [7, 7, 0, 7, 7, 7, 7, 0, 7, 7, 0, 7, 0, 7, 7, 7, 7, 7, 7, 0], [0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 7, 0], [0, 7, 7, 0, 0, 0, 7, 7, 0, 7, 7, 0, 7, 0, 0, 7, 7, 0, 0, 0], [7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7], [7, 7, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 7, 0, 0], [0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7, 7, 0, 0, 7, 0, 0, 7, 0], [7, 7, 7, 0, 0, 0, 7, 7, 7, 7, 7, 7, 0, 7, 0, 7, 7, 0, 7, 7], [7, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 0, 7, 7, 0, 7, 0, 0, 0], [0, 7, 7, 7, 7, 0, 0, 0, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0], [0, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 0, 7, 0, 0, 7, 0, 0, 0, 0], [0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0], [7, 7, 7, 0, 7, 0, 0, 7, 0, 7, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7], [0, 0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0], [0, 0, 0, 0, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[5, 0, 5, 5, 0, 5, 5, 0, 0, 5, 0, 5, 5, 0, 5, 5, 0, 0, 0, 5], [0, 5, 0, 5, 0, 5, 5, 5, 0, 5, 0, 5, 0, 5, 0, 5, 0, 0, 5, 5], [5, 5, 0, 5, 0, 0, 5, 0, 0, 0, 5, 0, 5, 5, 5, 0, 5, 5, 0, 5], [0, 5, 5, 5, 0, 5, 5, 5, 0, 0, 5, 0, 0, 5, 5, 0, 5, 0, 0, 0], [5, 0, 5, 5, 5, 0, 5, 5, 0, 5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 5], [0, 0, 0, 0, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 5, 5], [5, 5, 0, 0, 0, 5, 5, 0, 0, 0, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5], [0, 5, 5, 0, 5, 5, 0, 0, 5, 5, 0, 0, 0, 0, 5, 0, 5, 5, 0, 5], [5, 5, 0, 5, 5, 0, 0, 5, 5, 5, 0, 5, 0, 5, 5, 5, 5, 5, 0, 5], [0, 0, 5, 0, 5, 0, 0, 0, 5, 0, 0, 5, 5, 0, 0, 5, 0, 0, 0, 5], [5, 0, 5, 5, 0, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 5, 5, 5, 0], [0, 0, 0, 5, 5, 0, 5, 0, 5, 0, 5, 5, 0, 0, 0, 5, 0, 0, 5, 0], [0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 5, 5, 0, 0, 5, 0, 0, 5, 0, 5], [0, 0, 5, 0, 5, 0, 0, 0, 5, 5, 5, 0, 5, 0, 0, 5, 5, 0, 5, 5], [5, 0, 5, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 5, 0, 0, 0, 5, 0], [0, 5, 0, 5, 0, 0, 5, 5, 0, 5, 0, 0, 5, 0, 0, 0, 5, 5, 5, 5], [0, 5, 5, 5, 0, 5, 5, 5, 0, 0, 5, 5, 5, 0, 0, 5, 0, 5, 0, 0], [0, 5, 5, 5, 5, 0, 0, 5, 0, 5, 0, 5, 0, 5, 0, 5, 5, 0, 0, 0], [0, 0, 5, 0, 5, 5, 0, 0, 5, 5, 5, 0, 5, 5, 0, 0, 0, 0, 5, 0], [5, 5, 5, 0, 0, 5, 0, 0, 5, 0, 5, 5, 0, 5, 5, 5, 0, 5, 5, 5], [0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 6, 0, 0, 6], [6, 6, 0, 6, 0, 6, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 0], [0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0, 0], [0, 6, 6, 0, 0, 0, 6, 6, 6, 0, 6, 6, 0, 0, 6, 6, 6, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0], [6, 6, 0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 6, 0, 0, 0, 6, 0, 0, 0], [0, 6, 6, 0, 6, 6, 6, 6, 0, 0, 6, 6, 6, 6, 6, 0, 6, 0, 0, 6], [6, 6, 0, 0, 6, 0, 0, 0, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6, 0, 0], [0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6], [0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 6, 0, 0, 6, 6, 0, 6, 6], [6, 6, 0, 0, 0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6], [6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6], [0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 0, 6, 6, 0, 6, 0, 6, 0, 6], [6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 0, 6, 0], [6, 6, 6, 0, 0, 6, 0, 0, 0, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6], [0, 0, 0, 6, 0, 6, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6], [0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 6, 0, 6], [0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 0, 6, 6, 6, 6, 0, 6, 6, 0, 6]] -> [[0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 7], [7, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 0, 7, 0, 7, 7, 0, 7], [0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0, 0], [0, 0, 0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 0, 7, 0, 7, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 7, 0, 0, 7, 0, 0], [0, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 0, 0, 7, 7, 7, 7], [7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 0, 0, 7, 0, 0], [7, 7, 0, 0, 7, 0, 0, 0, 0, 7, 0, 7, 0, 0, 7, 7, 7, 7, 0, 0], [0, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0], [0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 7, 7, 0, 7, 0], [7, 7, 0, 7, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0, 7], [0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 7, 0, 0, 7, 0, 0, 7, 7, 7, 0], [7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0], [7, 0, 7, 7, 0, 7, 7, 7, 0, 0, 7, 7, 0, 7, 0, 0, 7, 7, 7, 0], [0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0], [0, 0, 0, 7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 7, 0, 0, 7, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0], [7, 0, 0, 7, 0, 7, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 7, 0, 7, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[5, 5, 0, 5, 0, 0, 5, 0, 0, 0, 5, 5, 0, 5, 5, 0, 5, 0, 5, 5], [0, 5, 0, 0, 5, 5, 5, 5, 5, 0, 5, 0, 5, 0, 0, 0, 5, 0, 0, 5], [0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 5, 5, 0, 0, 0, 0], [0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 5], [0, 0, 0, 0, 0, 5, 5, 5, 5, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 5], [0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 5, 5, 5, 0, 0, 0, 0], [0, 5, 5, 0, 5, 0, 0, 0, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0, 5, 0], [0, 5, 5, 5, 0, 0, 0, 0, 5, 5, 5, 5, 0, 5, 5, 5, 5, 0, 0, 5], [5, 0, 0, 5, 5, 0, 0, 0, 5, 5, 0, 5, 5, 0, 0, 5, 5, 0, 0, 0], [5, 5, 5, 5, 5, 0, 0, 0, 5, 0, 5, 0, 0, 0, 5, 0, 0, 5, 0, 5], [5, 5, 5, 0, 0, 5, 5, 5, 0, 0, 5, 0, 5, 5, 0, 0, 5, 0, 0, 5], [0, 5, 5, 5, 5, 0, 0, 0, 5, 0, 5, 0, 5, 5, 0, 0, 0, 5, 5, 0], [5, 5, 0, 0, 0, 0, 5, 0, 5, 5, 0, 0, 0, 5, 0, 5, 0, 0, 5, 5], [0, 0, 0, 0, 5, 5, 0, 0, 5, 0, 5, 0, 5, 0, 5, 5, 0, 0, 0, 0], [0, 5, 0, 5, 5, 0, 0, 0, 5, 0, 5, 5, 0, 0, 0, 5, 0, 0, 5, 5], [5, 0, 0, 0, 5, 0, 5, 5, 0, 5, 0, 5, 0, 5, 5, 5, 0, 0, 0, 0], [0, 5, 0, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 5, 5, 0, 0, 5, 5, 0], [5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 0, 0, 0, 5, 5, 5, 5], [5, 0, 5, 5, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 5, 5, 0, 5, 5, 5], [5, 0, 5, 5, 5, 0, 5, 0, 5, 5, 0, 0, 5, 5, 5, 0, 5, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
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+                        [
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+                        [
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+                }
+            },
+            "Replicate 4": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[5, 0, 5, 5, 0, 5, 5, 0, 0, 5, 0, 5, 5, 0, 5, 5, 0, 0, 0, 5], [0, 5, 0, 5, 0, 5, 5, 5, 0, 5, 0, 5, 0, 5, 0, 5, 0, 0, 5, 5], [5, 5, 0, 5, 0, 0, 5, 0, 0, 0, 5, 0, 5, 5, 5, 0, 5, 5, 0, 5], [0, 5, 5, 5, 0, 5, 5, 5, 0, 0, 5, 0, 0, 5, 5, 0, 5, 0, 0, 0], [5, 0, 5, 5, 5, 0, 5, 5, 0, 5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 5], [0, 0, 0, 0, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 5, 5], [5, 5, 0, 0, 0, 5, 5, 0, 0, 0, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5], [0, 5, 5, 0, 5, 5, 0, 0, 5, 5, 0, 0, 0, 0, 5, 0, 5, 5, 0, 5], [5, 5, 0, 5, 5, 0, 0, 5, 5, 5, 0, 5, 0, 5, 5, 5, 5, 5, 0, 5], [0, 0, 5, 0, 5, 0, 0, 0, 5, 0, 0, 5, 5, 0, 0, 5, 0, 0, 0, 5], [5, 0, 5, 5, 0, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 5, 5, 5, 0], [0, 0, 0, 5, 5, 0, 5, 0, 5, 0, 5, 5, 0, 0, 0, 5, 0, 0, 5, 0], [0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 5, 5, 0, 0, 5, 0, 0, 5, 0, 5], [0, 0, 5, 0, 5, 0, 0, 0, 5, 5, 5, 0, 5, 0, 0, 5, 5, 0, 5, 5], [5, 0, 5, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 5, 0, 0, 0, 5, 0], [0, 5, 0, 5, 0, 0, 5, 5, 0, 5, 0, 0, 5, 0, 0, 0, 5, 5, 5, 5], [0, 5, 5, 5, 0, 5, 5, 5, 0, 0, 5, 5, 5, 0, 0, 5, 0, 5, 0, 0], [0, 5, 5, 5, 5, 0, 0, 5, 0, 5, 0, 5, 0, 5, 0, 5, 5, 0, 0, 0], [0, 0, 5, 0, 5, 5, 0, 0, 5, 5, 5, 0, 5, 5, 0, 0, 0, 0, 5, 0], [5, 5, 5, 0, 0, 5, 0, 0, 5, 0, 5, 5, 0, 5, 5, 5, 0, 5, 5, 5], [0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 6, 0, 0, 6], [6, 6, 0, 6, 0, 6, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 0], [0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0, 0], [0, 6, 6, 0, 0, 0, 6, 6, 6, 0, 6, 6, 0, 0, 6, 6, 6, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0], [6, 6, 0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 6, 0, 0, 0, 6, 0, 0, 0], [0, 6, 6, 0, 6, 6, 6, 6, 0, 0, 6, 6, 6, 6, 6, 0, 6, 0, 0, 6], [6, 6, 0, 0, 6, 0, 0, 0, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6, 0, 0], [0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6], [0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 6, 0, 0, 6, 6, 0, 6, 6], [6, 6, 0, 0, 0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6], [6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6], [0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 0, 6, 6, 0, 6, 0, 6, 0, 6], [6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 0, 6, 0], [6, 6, 6, 0, 0, 6, 0, 0, 0, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6], [0, 0, 0, 6, 0, 6, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6], [0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 6, 0, 6], [0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 0, 6, 6, 6, 6, 0, 6, 6, 0, 6]] -> [[0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 7], [7, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 0, 7, 0, 7, 7, 0, 7], [0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0, 0], [0, 0, 0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 0, 7, 0, 7, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 7, 0, 0, 7, 0, 0], [0, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 0, 0, 7, 7, 7, 7], [7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 0, 0, 7, 0, 0], [7, 7, 0, 0, 7, 0, 0, 0, 0, 7, 0, 7, 0, 0, 7, 7, 7, 7, 0, 0], [0, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0], [0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 7, 7, 0, 7, 0], [7, 7, 0, 7, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0, 7], [0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 7, 0, 0, 7, 0, 0, 7, 7, 7, 0], [7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0], [7, 0, 7, 7, 0, 7, 7, 7, 0, 0, 7, 7, 0, 7, 0, 0, 7, 7, 7, 0], [0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0], [0, 0, 0, 7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 7, 0, 0, 7, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0], [7, 0, 0, 7, 0, 7, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 7, 0, 7, 0]]\nExample input-output arrays:\n[[5, 0, 5, 5, 0, 5, 5, 0, 0, 5, 0, 5, 5, 0, 5, 5, 0, 0, 0, 5], [0, 5, 0, 5, 0, 5, 5, 5, 0, 5, 0, 5, 0, 5, 0, 5, 0, 0, 5, 5], [5, 5, 0, 5, 0, 0, 5, 0, 0, 0, 5, 0, 5, 5, 5, 0, 5, 5, 0, 5], [0, 5, 5, 5, 0, 5, 5, 5, 0, 0, 5, 0, 0, 5, 5, 0, 5, 0, 0, 0], [5, 0, 5, 5, 5, 0, 5, 5, 0, 5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 5], [0, 0, 0, 0, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 5, 5], [5, 5, 0, 0, 0, 5, 5, 0, 0, 0, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5], [0, 5, 5, 0, 5, 5, 0, 0, 5, 5, 0, 0, 0, 0, 5, 0, 5, 5, 0, 5], [5, 5, 0, 5, 5, 0, 0, 5, 5, 5, 0, 5, 0, 5, 5, 5, 5, 5, 0, 5], [0, 0, 5, 0, 5, 0, 0, 0, 5, 0, 0, 5, 5, 0, 0, 5, 0, 0, 0, 5], [5, 0, 5, 5, 0, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 5, 5, 5, 0], [0, 0, 0, 5, 5, 0, 5, 0, 5, 0, 5, 5, 0, 0, 0, 5, 0, 0, 5, 0], [0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 5, 5, 0, 0, 5, 0, 0, 5, 0, 5], [0, 0, 5, 0, 5, 0, 0, 0, 5, 5, 5, 0, 5, 0, 0, 5, 5, 0, 5, 5], [5, 0, 5, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 5, 0, 0, 0, 5, 0], [0, 5, 0, 5, 0, 0, 5, 5, 0, 5, 0, 0, 5, 0, 0, 0, 5, 5, 5, 5], [0, 5, 5, 5, 0, 5, 5, 5, 0, 0, 5, 5, 5, 0, 0, 5, 0, 5, 0, 0], [0, 5, 5, 5, 5, 0, 0, 5, 0, 5, 0, 5, 0, 5, 0, 5, 5, 0, 0, 0], [0, 0, 5, 0, 5, 5, 0, 0, 5, 5, 5, 0, 5, 5, 0, 0, 0, 0, 5, 0], [5, 5, 5, 0, 0, 5, 0, 0, 5, 0, 5, 5, 0, 5, 5, 5, 0, 5, 5, 5], [0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 6, 0, 0, 6], [6, 6, 0, 6, 0, 6, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 0], [0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0, 0], [0, 6, 6, 0, 0, 0, 6, 6, 6, 0, 6, 6, 0, 0, 6, 6, 6, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0], [6, 6, 0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 6, 0, 0, 0, 6, 0, 0, 0], [0, 6, 6, 0, 6, 6, 6, 6, 0, 0, 6, 6, 6, 6, 6, 0, 6, 0, 0, 6], [6, 6, 0, 0, 6, 0, 0, 0, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6, 0, 0], [0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6], [0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 6, 0, 0, 6, 6, 0, 6, 6], [6, 6, 0, 0, 0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6], [6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6], [0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 0, 6, 6, 0, 6, 0, 6, 0, 6], [6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 0, 6, 0], [6, 6, 6, 0, 0, 6, 0, 0, 0, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6], [0, 0, 0, 6, 0, 6, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6], [0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 6, 0, 6], [0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 0, 6, 6, 6, 6, 0, 6, 6, 0, 6]] -> [[0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 7], [7, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 0, 7, 0, 7, 7, 0, 7], [0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0, 0], [0, 0, 0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 0, 7, 0, 7, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 7, 0, 0, 7, 0, 0], [0, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 0, 0, 7, 7, 7, 7], [7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 0, 0, 7, 0, 0], [7, 7, 0, 0, 7, 0, 0, 0, 0, 7, 0, 7, 0, 0, 7, 7, 7, 7, 0, 0], [0, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0], [0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 7, 7, 0, 7, 0], [7, 7, 0, 7, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0, 7], [0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 7, 0, 0, 7, 0, 0, 7, 7, 7, 0], [7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0], [7, 0, 7, 7, 0, 7, 7, 7, 0, 0, 7, 7, 0, 7, 0, 0, 7, 7, 7, 0], [0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0], [0, 0, 0, 7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 7, 0, 0, 7, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0], [7, 0, 0, 7, 0, 7, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 7, 0, 7, 0]]\nExample input-output arrays:\n[[5, 0, 5, 5, 0, 5, 5, 0, 0, 5, 0, 5, 5, 0, 5, 5, 0, 0, 0, 5], [0, 5, 0, 5, 0, 5, 5, 5, 0, 5, 0, 5, 0, 5, 0, 5, 0, 0, 5, 5], [5, 5, 0, 5, 0, 0, 5, 0, 0, 0, 5, 0, 5, 5, 5, 0, 5, 5, 0, 5], [0, 5, 5, 5, 0, 5, 5, 5, 0, 0, 5, 0, 0, 5, 5, 0, 5, 0, 0, 0], [5, 0, 5, 5, 5, 0, 5, 5, 0, 5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 5], [0, 0, 0, 0, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 5, 5], [5, 5, 0, 0, 0, 5, 5, 0, 0, 0, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5], [0, 5, 5, 0, 5, 5, 0, 0, 5, 5, 0, 0, 0, 0, 5, 0, 5, 5, 0, 5], [5, 5, 0, 5, 5, 0, 0, 5, 5, 5, 0, 5, 0, 5, 5, 5, 5, 5, 0, 5], [0, 0, 5, 0, 5, 0, 0, 0, 5, 0, 0, 5, 5, 0, 0, 5, 0, 0, 0, 5], [5, 0, 5, 5, 0, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 5, 5, 5, 0], [0, 0, 0, 5, 5, 0, 5, 0, 5, 0, 5, 5, 0, 0, 0, 5, 0, 0, 5, 0], [0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 5, 5, 0, 0, 5, 0, 0, 5, 0, 5], [0, 0, 5, 0, 5, 0, 0, 0, 5, 5, 5, 0, 5, 0, 0, 5, 5, 0, 5, 5], [5, 0, 5, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 5, 0, 0, 0, 5, 0], [0, 5, 0, 5, 0, 0, 5, 5, 0, 5, 0, 0, 5, 0, 0, 0, 5, 5, 5, 5], [0, 5, 5, 5, 0, 5, 5, 5, 0, 0, 5, 5, 5, 0, 0, 5, 0, 5, 0, 0], [0, 5, 5, 5, 5, 0, 0, 5, 0, 5, 0, 5, 0, 5, 0, 5, 5, 0, 0, 0], [0, 0, 5, 0, 5, 5, 0, 0, 5, 5, 5, 0, 5, 5, 0, 0, 0, 0, 5, 0], [5, 5, 5, 0, 0, 5, 0, 0, 5, 0, 5, 5, 0, 5, 5, 5, 0, 5, 5, 5], [0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 6, 0, 0, 6], [6, 6, 0, 6, 0, 6, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 0], [0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0, 0], [0, 6, 6, 0, 0, 0, 6, 6, 6, 0, 6, 6, 0, 0, 6, 6, 6, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0], [6, 6, 0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 6, 0, 0, 0, 6, 0, 0, 0], [0, 6, 6, 0, 6, 6, 6, 6, 0, 0, 6, 6, 6, 6, 6, 0, 6, 0, 0, 6], [6, 6, 0, 0, 6, 0, 0, 0, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6, 0, 0], [0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6], [0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 6, 0, 0, 6, 6, 0, 6, 6], [6, 6, 0, 0, 0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6], [6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6], [0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 0, 6, 6, 0, 6, 0, 6, 0, 6], [6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 0, 6, 0], [6, 6, 6, 0, 0, 6, 0, 0, 0, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6], [0, 0, 0, 6, 0, 6, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6], [0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 6, 0, 6], [0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 0, 6, 6, 6, 6, 0, 6, 6, 0, 6]] -> [[0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 7], [7, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 0, 7, 0, 7, 7, 0, 7], [0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0, 0], [0, 0, 0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 0, 7, 0, 7, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 7, 0, 0, 7, 0, 0], [0, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 0, 0, 7, 7, 7, 7], [7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 0, 0, 7, 0, 0], [7, 7, 0, 0, 7, 0, 0, 0, 0, 7, 0, 7, 0, 0, 7, 7, 7, 7, 0, 0], [0, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0], [0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 7, 7, 0, 7, 0], [7, 7, 0, 7, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0, 7], [0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 7, 0, 0, 7, 0, 0, 7, 7, 7, 0], [7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0], [7, 0, 7, 7, 0, 7, 7, 7, 0, 0, 7, 7, 0, 7, 0, 0, 7, 7, 7, 0], [0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0], [0, 0, 0, 7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 7, 0, 0, 7, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0], [7, 0, 0, 7, 0, 7, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 7, 0, 7, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing the causal function for some elements.\n[[0, 5, 0, 0, 5, 0, 0, 5, 5, 0, 5, 0, 0, 5, 0, 0, 5, 5, 5, 0], [5, 0, 5, 0, 5, 0, 0, 0, 5, 0, 5, 0, 5, 0, 5, 0, 5, 5, 0, 0], [0, 0, 5, 0, 5, 5, 0, 5, 5, 5, 0, 5, 0, 0, 0, 5, 0, 0, 5, 0], [5, 0, 0, 0, 5, 0, 0, 0, 5, 5, 0, 5, 5, 0, 0, 5, 0, 5, 5, 5], [0, 5, 0, 0, 0, 5, 0, 0, 5, 0, 5, 0, 0, 0, 0, 0, 5, 0, 5, 0], [5, 5, 5, 5, 0, 0, 0, 0, 5, 5, 5, 5, 5, 5, 0, 0, 5, 5, 0, 0], [0, 0, 5, 5, 5, 0, 0, 5, 5, 5, 0, 5, 5, 5, 0, 0, 5, 0, 5, 0], [5, 0, 0, 5, 0, 0, 5, 5, 0, 0, 5, 5, 5, 5, 0, 5, 0, 0, 5, 0], [0, 0, 5, 0, 0, 5, 5, 0, 0, 0, 5, 0, 5, 0, 0, 0, 0, 0, 5, 0], [5, 5, 0, 5, 0, 5, 5, 5, 0, 5, 5, 0, 0, 5, 5, 0, 5, 5, 5, 0], [0, 5, 0, 0, 5, 5, 5, 5, 5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 5], [5, 5, 5, 0, 0, 5, 0, 5, 0, 5, 0, 0, 5, 5, 5, 0, 5, 5, 0, 5], [5, 5, 5, 5, 5, 5, 0, 5, 5, 5, 0, 0, 5, 5, 0, 5, 5, 0, 5, 0], [5, 5, 0, 5, 0, 5, 5, 5, 0, 0, 0, 5, 0, 5, 5, 0, 0, 5, 0, 0], [0, 5, 0, 5, 5, 5, 5, 0, 0, 0, 5, 5, 5, 5, 0, 5, 5, 5, 0, 5], [5, 0, 5, 0, 5, 5, 0, 0, 5, 0, 5, 5, 0, 5, 5, 5, 0, 0, 0, 0], [5, 0, 0, 0, 5, 0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 5], [5, 0, 0, 0, 0, 5, 5, 0, 5, 0, 5, 0, 5, 0, 5, 0, 0, 5, 5, 5], [5, 5, 0, 5, 0, 0, 5, 5, 0, 0, 0, 5, 0, 0, 5, 5, 5, 5, 0, 5], [0, 0, 0, 5, 5, 0, 5, 5, 0, 5, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0], [0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 6, 0, 6, 0], [6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 6, 6], [6, 6, 6, 0, 6, 0, 0, 6, 6, 6, 0, 0, 0, 0, 6, 6, 0, 6, 6, 0], [0, 6, 6, 0, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6, 0, 6, 0, 0, 6, 6], [6, 6, 6, 0, 0, 6, 0, 0, 6, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 6], [0, 6, 6, 0, 0, 0, 0, 0, 6, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 6], [0, 0, 6, 6, 6, 0, 6, 0, 0, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0], [0, 6, 6, 6, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 0, 0, 6, 0, 6, 0], [0, 0, 6, 0, 0, 6, 0, 0, 0, 6, 0, 6, 0, 6, 0, 0, 6, 0, 6, 6], [6, 6, 0, 0, 0, 6, 0, 6, 6, 0, 6, 0, 6, 0, 6, 6, 0, 6, 0, 0], [0, 0, 6, 6, 0, 6, 0, 6, 0, 6, 0, 0, 6, 0, 6, 0, 0, 6, 6, 6], [0, 6, 6, 6, 6, 6, 6, 0, 6, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0, 6], [0, 6, 0, 0, 6, 6, 6, 0, 6, 0, 6, 0, 6, 0, 0, 0, 6, 6, 6, 0], [6, 6, 6, 0, 0, 0, 0, 6, 0, 6, 6, 6, 6, 6, 0, 6, 0, 6, 6, 0], [0, 6, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 0], [0, 6, 0, 6, 6, 6, 0, 0, 6, 6, 0, 6, 6, 0, 6, 0, 0, 0, 0, 6], [6, 6, 6, 6, 0, 0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 6], [6, 0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 0], [0, 0, 6, 0, 6, 6, 0, 6, 6, 0, 6, 0, 6, 0, 6, 6, 0, 6, 0, 6], [6, 0, 6, 0, 0, 6, 0, 6, 6, 6, 6, 0, 6, 6, 0, 6, 6, 0, 0, 0]] -> ",
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+        },
+        "L3": {
+            "Replicate 0": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[5, 0, 5, 5, 0, 5, 5, 0, 0, 5, 0, 5, 5, 0, 5, 5, 0, 0, 0, 5], [0, 5, 0, 5, 0, 5, 5, 5, 0, 5, 0, 5, 0, 5, 0, 5, 0, 0, 5, 5], [5, 5, 0, 5, 0, 0, 5, 0, 0, 0, 5, 0, 5, 5, 5, 0, 5, 5, 0, 5], [0, 5, 5, 5, 0, 5, 5, 5, 0, 0, 5, 0, 0, 5, 5, 0, 5, 0, 0, 0], [5, 0, 5, 5, 5, 0, 5, 5, 0, 5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 5], [0, 0, 0, 0, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 5, 5], [5, 5, 0, 0, 0, 5, 5, 0, 0, 0, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5], [0, 5, 5, 0, 5, 5, 0, 0, 5, 5, 0, 0, 0, 0, 5, 0, 5, 5, 0, 5], [5, 5, 0, 5, 5, 0, 0, 5, 5, 5, 0, 5, 0, 5, 5, 5, 5, 5, 0, 5], [0, 0, 5, 0, 5, 0, 0, 0, 5, 0, 0, 5, 5, 0, 0, 5, 0, 0, 0, 5], [5, 0, 5, 5, 0, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 5, 5, 5, 0], [0, 0, 0, 5, 5, 0, 5, 0, 5, 0, 5, 5, 0, 0, 0, 5, 0, 0, 5, 0], [0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 5, 5, 0, 0, 5, 0, 0, 5, 0, 5], [0, 0, 5, 0, 5, 0, 0, 0, 5, 5, 5, 0, 5, 0, 0, 5, 5, 0, 5, 5], [5, 0, 5, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 5, 0, 0, 0, 5, 0], [0, 5, 0, 5, 0, 0, 5, 5, 0, 5, 0, 0, 5, 0, 0, 0, 5, 5, 5, 5], [0, 5, 5, 5, 0, 5, 5, 5, 0, 0, 5, 5, 5, 0, 0, 5, 0, 5, 0, 0], [0, 5, 5, 5, 5, 0, 0, 5, 0, 5, 0, 5, 0, 5, 0, 5, 5, 0, 0, 0], [0, 0, 5, 0, 5, 5, 0, 0, 5, 5, 5, 0, 5, 5, 0, 0, 0, 0, 5, 0], [5, 5, 5, 0, 0, 5, 0, 0, 5, 0, 5, 5, 0, 5, 5, 5, 0, 5, 5, 5], [0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 6, 0, 0, 6], [6, 6, 0, 6, 0, 6, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 0], [0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0, 0], [0, 6, 6, 0, 0, 0, 6, 6, 6, 0, 6, 6, 0, 0, 6, 6, 6, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0], [6, 6, 0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 6, 0, 0, 0, 6, 0, 0, 0], [0, 6, 6, 0, 6, 6, 6, 6, 0, 0, 6, 6, 6, 6, 6, 0, 6, 0, 0, 6], [6, 6, 0, 0, 6, 0, 0, 0, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6, 0, 0], [0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6], [0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 6, 0, 0, 6, 6, 0, 6, 6], [6, 6, 0, 0, 0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6], [6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6], [0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 0, 6, 6, 0, 6, 0, 6, 0, 6], [6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 0, 6, 0], [6, 6, 6, 0, 0, 6, 0, 0, 0, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6], [0, 0, 0, 6, 0, 6, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6], [0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 6, 0, 6], [0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 0, 6, 6, 6, 6, 0, 6, 6, 0, 6]] -> [[0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 7], [7, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 0, 7, 0, 7, 7, 0, 7], [0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0, 0], [0, 0, 0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 0, 7, 0, 7, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 7, 0, 0, 7, 0, 0], [0, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 0, 0, 7, 7, 7, 7], [7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 0, 0, 7, 0, 0], [7, 7, 0, 0, 7, 0, 0, 0, 0, 7, 0, 7, 0, 0, 7, 7, 7, 7, 0, 0], [0, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0], [0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 7, 7, 0, 7, 0], [7, 7, 0, 7, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0, 7], [0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 7, 0, 0, 7, 0, 0, 7, 7, 7, 0], [7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0], [7, 0, 7, 7, 0, 7, 7, 7, 0, 0, 7, 7, 0, 7, 0, 0, 7, 7, 7, 0], [0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0], [0, 0, 0, 7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 7, 0, 0, 7, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0], [7, 0, 0, 7, 0, 7, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 7, 0, 7, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1], [0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1], [1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1], [0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0], [1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1], [0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1], [1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1], [0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1], [1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1], [0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1], [1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0], [0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1], [0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1], [1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0], [0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1], [0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0], [0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0], [0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0], [1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1], [0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 6, 0, 0, 6], [6, 6, 0, 6, 0, 6, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 0], [0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0, 0], [0, 6, 6, 0, 0, 0, 6, 6, 6, 0, 6, 6, 0, 0, 6, 6, 6, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0], [6, 6, 0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 6, 0, 0, 0, 6, 0, 0, 0], [0, 6, 6, 0, 6, 6, 6, 6, 0, 0, 6, 6, 6, 6, 6, 0, 6, 0, 0, 6], [6, 6, 0, 0, 6, 0, 0, 0, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6, 0, 0], [0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6], [0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 6, 0, 0, 6, 6, 0, 6, 6], [6, 6, 0, 0, 0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6], [6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6], [0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 0, 6, 6, 0, 6, 0, 6, 0, 6], [6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 0, 6, 0], [6, 6, 6, 0, 0, 6, 0, 0, 0, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6], [0, 0, 0, 6, 0, 6, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6], [0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 6, 0, 6], [0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 0, 6, 6, 6, 6, 0, 6, 6, 0, 6]] -> [[0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 7], [7, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 0, 7, 0, 7, 7, 0, 7], [0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0, 0], [0, 0, 0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 0, 7, 0, 7, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 7, 0, 0, 7, 0, 0], [0, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 0, 0, 7, 7, 7, 7], [7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 0, 0, 7, 0, 0], [7, 7, 0, 0, 7, 0, 0, 0, 0, 7, 0, 7, 0, 0, 7, 7, 7, 7, 0, 0], [0, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0], [0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 7, 7, 0, 7, 0], [7, 7, 0, 7, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0, 7], [0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 7, 0, 0, 7, 0, 0, 7, 7, 7, 0], [7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0], [7, 0, 7, 7, 0, 7, 7, 7, 0, 0, 7, 7, 0, 7, 0, 0, 7, 7, 7, 0], [0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0], [0, 0, 0, 7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 7, 0, 0, 7, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0], [7, 0, 0, 7, 0, 7, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 7, 0, 7, 0]]\nExample input-output arrays:\n[[0, 5, 0, 0, 5, 5, 5, 0, 0, 0, 5, 5, 5, 0, 0, 5, 5, 5, 5, 5], [0, 0, 5, 5, 0, 5, 0, 0, 5, 0, 0, 5, 5, 5, 5, 5, 5, 0, 0, 0], [0, 0, 0, 5, 5, 0, 5, 0, 5, 5, 0, 5, 0, 0, 0, 0, 5, 5, 0, 0], [0, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 0, 5, 0, 5, 5, 5, 0, 5, 0], [0, 0, 5, 5, 0, 5, 5, 0, 5, 5, 5, 0, 5, 0, 5, 0, 0, 0, 5, 5], [0, 0, 0, 5, 5, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 5], [0, 5, 0, 5, 5, 5, 5, 0, 0, 5, 0, 0, 5, 0, 0, 5, 0, 0, 0, 5], [0, 5, 0, 0, 5, 5, 5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 0, 5, 5, 5], [5, 5, 5, 0, 5, 5, 0, 0, 5, 5, 0, 5, 5, 5, 0, 0, 0, 5, 0, 0], [5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 5, 5, 5, 0, 5, 5, 5, 0, 0, 0], [0, 0, 5, 0, 0, 0, 5, 5, 5, 0, 5, 0, 5, 5, 0, 0, 0, 5, 0, 0], [5, 0, 5, 5, 5, 5, 5, 5, 5, 5, 0, 5, 5, 5, 0, 5, 5, 0, 0, 0], [0, 5, 0, 5, 5, 5, 0, 5, 0, 5, 5, 5, 5, 0, 5, 0, 5, 0, 0, 5], [5, 5, 5, 0, 0, 5, 5, 5, 5, 5, 5, 0, 5, 5, 0, 0, 5, 0, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0, 5, 5, 0, 5, 5, 5, 0, 5, 5], [5, 0, 5, 5, 0, 0, 5, 0, 0, 5, 5, 0, 0, 0, 5, 5, 5, 0, 5, 0], [5, 5, 5, 0, 0, 0, 0, 0, 5, 5, 5, 5, 5, 5, 0, 0, 5, 0, 0, 0], [0, 5, 0, 5, 5, 5, 0, 5, 5, 0, 5, 0, 5, 0, 5, 5, 0, 5, 5, 5], [0, 5, 5, 0, 5, 5, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 5, 5, 5, 5], [5, 5, 0, 0, 5, 0, 0, 5, 5, 5, 0, 5, 0, 5, 5, 5, 0, 0, 0, 0], [0, 0, 6, 0, 0, 6, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 6, 6, 6, 6], [6, 6, 6, 6, 0, 0, 0, 6, 6, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6, 6], [0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 0, 0, 6], [6, 6, 6, 0, 0, 6, 0, 0, 0, 6, 0, 6, 0, 0, 0, 6, 0, 0, 6, 6], [0, 0, 0, 6, 6, 0, 6, 6, 6, 6, 6, 0, 6, 0, 0, 6, 6, 0, 0, 0], [0, 0, 6, 6, 6, 6, 0, 6, 0, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0, 0], [6, 6, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6], [0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 0, 6, 0, 0, 0, 6, 0, 0, 6, 6], [0, 0, 6, 0, 6, 6, 0, 6, 0, 6, 0, 0, 6, 6, 0, 6, 0, 0, 0, 6], [0, 0, 0, 0, 6, 6, 0, 6, 0, 6, 6, 6, 0, 0, 0, 0, 6, 0, 6, 6], [0, 0, 6, 6, 0, 6, 0, 0, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 0, 0], [6, 0, 6, 6, 0, 6, 0, 0, 6, 0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 0], [6, 0, 6, 6, 0, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0, 6, 0, 0, 6, 0], [6, 6, 0, 0, 6, 0, 6, 0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 0, 6, 0], [6, 6, 0, 6, 0, 6, 6, 6, 0, 6, 0, 0, 0, 0, 6, 0, 0, 0, 6, 0], [0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6], [0, 0, 6, 0, 6, 6, 6, 0, 0, 6, 6, 0, 6, 6, 0, 6, 0, 6, 0, 0], [0, 0, 6, 6, 6, 6, 0, 0, 6, 6, 0, 6, 0, 0, 6, 6, 6, 0, 0, 0], [0, 6, 6, 0, 6, 0, 0, 6, 6, 6, 6, 0, 6, 0, 0, 0, 6, 6, 6, 6], [6, 0, 6, 0, 0, 6, 6, 0, 6, 0, 6, 0, 0, 6, 6, 0, 0, 6, 6, 6]] -> [[0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7, 7, 7, 7], [7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 7, 7, 7, 7, 0, 0, 7, 7], [0, 0, 0, 7, 0, 0, 7, 0, 7, 7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0], [7, 7, 0, 0, 7, 7, 0, 7, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7], [0, 0, 0, 7, 0, 0, 7, 0, 7, 7, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 7, 0, 0, 0, 7], [0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7], [0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0], [0, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0], [7, 7, 7, 7, 0, 0, 7, 0, 7, 7, 0, 0, 7, 0, 7, 7, 0, 0, 7, 7], [0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 7, 0, 7, 7, 0, 7, 0, 7, 7, 7, 7, 0, 7, 0, 7, 0], [0, 0, 0, 7, 0, 0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 7, 0, 7, 7, 0, 7, 7, 0, 0, 0, 7, 0, 7, 0, 7, 0, 0, 7], [7, 7, 0, 7, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0], [7, 7, 7, 0, 0, 7, 0, 7, 7, 0, 0, 7, 7, 0, 0, 0, 7, 0, 7, 7], [0, 0, 7, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 7, 0, 0, 0, 0, 0, 0], [0, 7, 7, 0, 0, 0, 0, 7, 0, 7, 7, 7, 7, 0, 0, 0, 7, 7, 7, 7], [0, 7, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 7, 7, 7], [0, 7, 7, 0, 7, 7, 7, 7, 0, 7, 7, 7, 0, 0, 0, 7, 0, 7, 7, 7]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 5, 0, 5, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 5, 5, 0, 0, 5, 0], [0, 5, 0, 5, 5, 5, 0, 5, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0], [5, 0, 5, 0, 5, 5, 5, 0, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0, 5], [5, 5, 0, 0, 0, 0, 0, 5, 0, 5, 5, 0, 5, 0, 5, 5, 5, 0, 0, 0], [0, 5, 5, 0, 5, 5, 5, 0, 5, 5, 0, 0, 5, 5, 0, 5, 5, 5, 5, 0], [5, 0, 0, 0, 5, 5, 5, 5, 0, 0, 0, 5, 0, 0, 0, 5, 0, 5, 0, 0], [5, 5, 5, 0, 5, 5, 5, 5, 0, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 5], [5, 5, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 5, 0, 0, 5, 5], [5, 5, 5, 0, 5, 5, 0, 5, 5, 0, 5, 0, 5, 5, 0, 5, 0, 0, 0, 5], [0, 0, 0, 0, 5, 0, 5, 0, 5, 0, 5, 0, 0, 0, 5, 5, 5, 0, 0, 5], [5, 0, 5, 5, 5, 5, 0, 5, 0, 5, 0, 5, 5, 5, 0, 5, 5, 0, 5, 0], [0, 5, 0, 5, 0, 5, 0, 0, 5, 5, 0, 5, 5, 5, 0, 5, 0, 0, 5, 0], [0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 5, 5, 5, 5, 0, 5, 0, 0, 5, 0], [0, 5, 5, 0, 5, 0, 5, 0, 5, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 0, 0, 0, 5, 0, 5, 5, 5, 5, 5, 0, 5, 5, 0, 0, 0, 5, 0, 5], [0, 5, 0, 5, 5, 0, 0, 5, 0, 0, 0, 5, 5, 0, 0, 5, 5, 5, 5, 5], [0, 5, 5, 0, 5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 0, 5, 5, 5, 0, 5], [0, 5, 5, 5, 5, 5, 0, 5, 0, 5, 5, 0, 5, 5, 0, 5, 5, 5, 0, 5], [5, 0, 5, 5, 5, 0, 0, 5, 0, 0, 0, 5, 0, 5, 0, 5, 0, 5, 5, 0], [0, 0, 5, 0, 5, 5, 5, 0, 5, 0, 5, 0, 5, 0, 5, 0, 0, 0, 0, 5], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]] -> ",
+                "test": {
+                    "input": [
+                        [
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+                        [
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+                        [
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+                }
+            },
+            "Replicate 1": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 5, 0, 0, 5, 0, 0, 0, 0, 5, 0], [5, 5, 5, 5, 0, 0, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 0, 5, 5, 5], [0, 5, 5, 0, 0, 0, 5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 5, 5, 0, 5], [5, 5, 5, 0, 5, 0, 0, 5, 5, 5, 0, 5, 5, 5, 5, 5, 0, 0, 5, 0], [5, 0, 5, 0, 0, 0, 0, 5, 5, 0, 5, 0, 0, 5, 0, 5, 0, 5, 0, 0], [5, 0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 5, 5, 0, 0, 5, 0, 5, 5, 5], [0, 0, 5, 5, 0, 0, 5, 0, 0, 5, 5, 0, 0, 0, 0, 5, 5, 5, 0, 5], [0, 0, 5, 5, 0, 5, 5, 5, 0, 5, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5], [5, 0, 5, 5, 0, 5, 0, 5, 0, 0, 5, 5, 0, 5, 5, 5, 5, 5, 5, 0], [0, 5, 5, 0, 5, 5, 0, 5, 5, 0, 0, 5, 0, 5, 0, 0, 5, 5, 5, 5], [0, 5, 0, 0, 5, 0, 5, 5, 0, 0, 5, 5, 5, 5, 0, 0, 0, 0, 5, 5], [5, 5, 0, 5, 0, 0, 5, 5, 0, 0, 0, 0, 5, 5, 0, 0, 5, 5, 5, 0], [0, 0, 5, 0, 5, 0, 5, 5, 5, 0, 5, 0, 5, 5, 5, 5, 0, 5, 5, 5], [5, 0, 5, 5, 0, 0, 0, 5, 5, 0, 0, 5, 0, 5, 5, 0, 0, 5, 0, 5], [0, 5, 5, 0, 5, 5, 5, 0, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0], [5, 0, 0, 5, 5, 5, 5, 0, 5, 0, 5, 5, 0, 0, 5, 5, 0, 5, 5, 0], [0, 5, 0, 0, 5, 0, 0, 5, 0, 5, 5, 0, 0, 0, 0, 5, 0, 0, 5, 5], [5, 0, 5, 5, 5, 0, 0, 5, 0, 0, 5, 5, 0, 5, 0, 0, 5, 0, 0, 5], [0, 0, 5, 0, 0, 5, 5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 0, 0, 5, 5], [0, 5, 5, 0, 5, 0, 0, 5, 0, 5, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0], [6, 6, 6, 0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 0], [6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 0, 6, 6, 6, 6, 0, 0, 0, 0], [0, 6, 6, 6, 0, 6, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6], [6, 6, 0, 6, 0, 0, 0, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 0], [0, 0, 6, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 6, 0, 0, 0, 6], [0, 0, 0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 0, 0, 6, 0, 6, 0, 6, 6], [0, 0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 6, 0, 6, 0, 0, 6, 0, 0, 0], [0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0, 0, 0, 6, 0], [6, 0, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 6, 6, 0, 0], [6, 6, 6, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0], [6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 0], [0, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 0, 0, 6, 6, 6, 6, 0, 0], [6, 0, 6, 6, 6, 6, 6, 0, 0, 6, 6, 0, 6, 6, 0, 6, 6, 6, 6, 6], [0, 0, 6, 6, 6, 0, 0, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 0], [6, 6, 0, 0, 6, 6, 0, 0, 0, 6, 6, 6, 6, 0, 0, 6, 6, 0, 6, 0], [0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 0, 6], [0, 0, 6, 0, 6, 0, 6, 6, 6, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6], [0, 6, 6, 0, 6, 6, 0, 6, 0, 6, 0, 0, 0, 6, 0, 6, 0, 6, 0, 0], [6, 0, 6, 0, 6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 0, 0], [0, 6, 6, 6, 0, 0, 6, 6, 0, 6, 0, 0, 6, 6, 0, 0, 6, 0, 6, 0]] -> [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0], [0, 0, 0, 0, 7, 7, 7, 0, 7, 7, 7, 0, 0, 7, 0, 7, 0, 7, 7, 7], [0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7], [0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 7, 0, 7, 7, 7, 7, 0, 7, 0, 0], [0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 0], [7, 0, 0, 7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 0, 0], [0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0], [0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 0, 7, 7, 0, 0, 7], [7, 0, 7, 7, 0, 7, 0, 7, 0, 0, 0, 7, 0, 7, 7, 0, 7, 7, 0, 0], [7, 0, 0, 7, 7, 0, 7, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7, 7], [0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0], [7, 7, 7, 0, 0, 7, 0, 0, 7, 7, 7, 0, 7, 7, 7, 7, 0, 0, 7, 0], [0, 0, 7, 0, 7, 0, 7, 0, 0, 0, 7, 0, 7, 7, 0, 7, 0, 7, 7, 7], [7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 7, 0, 0, 7, 7, 0, 0, 7, 7, 7], [0, 7, 0, 0, 7, 7, 0, 0, 0, 7, 7, 7, 7, 0, 0, 7, 7, 0, 0, 0], [7, 0, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 7], [0, 0, 0, 0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 7, 0, 0, 7, 7], [7, 7, 0, 7, 0, 7, 0, 0, 0, 7, 7, 7, 0, 0, 0, 7, 7, 7, 0, 7], [0, 0, 7, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0], [0, 0, 0, 7, 7, 0, 7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [0, 6, 0, 0, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 6, 6, 6, 0], [0, 6, 6, 6, 6, 0, 0, 0, 0, 6, 0, 0, 6, 0, 0, 0, 6, 0, 6, 6], [0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0], [6, 6, 6, 0, 0, 0, 6, 0, 6, 6, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0], [6, 6, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 6, 0, 6, 6], [0, 6, 0, 6, 0, 6, 6, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 6, 0, 6], [6, 6, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 6, 6, 6, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 0, 6, 6, 0, 6, 0, 6, 0], [0, 0, 6, 6, 6, 0, 6, 0, 0, 6, 6, 6, 0, 6, 6, 0, 0, 6, 6, 0], [6, 0, 6, 0, 6, 0, 0, 6, 6, 0, 0, 6, 6, 0, 6, 6, 0, 6, 6, 0], [6, 0, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6, 6, 0, 6, 0, 0, 6, 6, 6], [6, 0, 6, 0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 0, 6, 0, 6, 6, 6, 6], [6, 6, 0, 0, 0, 0, 0, 6, 0, 6, 6, 6, 6, 6, 0, 6, 6, 0, 0, 0], [6, 6, 0, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6], [6, 0, 6, 6, 0, 6, 0, 0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 0, 6, 6], [0, 0, 0, 0, 0, 6, 0, 6, 6, 0, 6, 0, 0, 6, 0, 6, 0, 6, 6, 6], [0, 6, 6, 0, 0, 0, 6, 6, 6, 0, 0, 0, 6, 6, 0, 0, 0, 6, 0, 6], [0, 0, 6, 0, 0, 0, 6, 0, 6, 6, 0, 0, 6, 6, 0, 0, 0, 6, 6, 0], [0, 0, 6, 6, 0, 6, 0, 6, 0, 6, 6, 0, 0, 0, 0, 0, 6, 6, 6, 6], [0, 6, 6, 0, 0, 0, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 0, 6, 0, 6]] -> [[0, 7, 0, 0, 7, 7, 0, 0, 0, 0, 7, 7, 7, 7, 0, 0, 7, 7, 7, 0], [7, 0, 0, 0, 0, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7, 7, 0, 7, 0, 0], [0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0], [0, 0, 0, 7, 7, 7, 0, 7, 0, 0, 7, 7, 7, 7, 7, 0, 0, 0, 0, 7], [7, 7, 0, 7, 7, 0, 0, 7, 0, 7, 0, 7, 0, 7, 0, 0, 7, 0, 7, 7], [7, 0, 7, 0, 7, 0, 0, 7, 7, 7, 7, 7, 0, 0, 7, 7, 7, 0, 7, 0], [7, 7, 0, 0, 7, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 0, 0], [0, 7, 7, 7, 7, 7, 7, 0, 0, 7, 7, 0, 7, 0, 0, 7, 0, 7, 0, 7], [0, 0, 7, 7, 7, 0, 7, 0, 0, 7, 7, 7, 0, 7, 7, 0, 0, 7, 7, 0], [0, 7, 0, 7, 0, 7, 7, 0, 0, 7, 7, 0, 0, 7, 0, 0, 7, 0, 0, 7], [7, 0, 0, 7, 7, 0, 0, 7, 0, 7, 0, 7, 7, 0, 7, 0, 0, 7, 7, 7], [0, 7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 7, 7, 0, 7, 0, 0, 0, 0], [7, 7, 0, 0, 0, 0, 0, 7, 0, 7, 7, 7, 7, 7, 0, 7, 7, 0, 0, 0], [0, 0, 7, 0, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 0], [7, 0, 7, 7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 7], [7, 7, 7, 7, 7, 0, 7, 0, 0, 7, 0, 7, 7, 0, 7, 0, 7, 0, 0, 0], [0, 7, 7, 0, 0, 0, 7, 7, 7, 0, 0, 0, 7, 7, 0, 0, 0, 7, 0, 7], [7, 7, 0, 7, 7, 7, 0, 7, 0, 0, 7, 7, 0, 0, 7, 7, 7, 0, 0, 7], [0, 0, 7, 7, 0, 7, 0, 7, 0, 7, 7, 0, 0, 0, 0, 0, 7, 7, 7, 7], [7, 0, 0, 7, 7, 7, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 7, 0, 7, 0]]\nExample input-output arrays:\n[[5, 0, 5, 5, 0, 5, 5, 0, 0, 5, 0, 5, 5, 0, 5, 5, 0, 0, 0, 5], [0, 5, 0, 5, 0, 5, 5, 5, 0, 5, 0, 5, 0, 5, 0, 5, 0, 0, 5, 5], [5, 5, 0, 5, 0, 0, 5, 0, 0, 0, 5, 0, 5, 5, 5, 0, 5, 5, 0, 5], [0, 5, 5, 5, 0, 5, 5, 5, 0, 0, 5, 0, 0, 5, 5, 0, 5, 0, 0, 0], [5, 0, 5, 5, 5, 0, 5, 5, 0, 5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 5], [0, 0, 0, 0, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 5, 5], [5, 5, 0, 0, 0, 5, 5, 0, 0, 0, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5], [0, 5, 5, 0, 5, 5, 0, 0, 5, 5, 0, 0, 0, 0, 5, 0, 5, 5, 0, 5], [5, 5, 0, 5, 5, 0, 0, 5, 5, 5, 0, 5, 0, 5, 5, 5, 5, 5, 0, 5], [0, 0, 5, 0, 5, 0, 0, 0, 5, 0, 0, 5, 5, 0, 0, 5, 0, 0, 0, 5], [5, 0, 5, 5, 0, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 5, 5, 5, 0], [0, 0, 0, 5, 5, 0, 5, 0, 5, 0, 5, 5, 0, 0, 0, 5, 0, 0, 5, 0], [0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 5, 5, 0, 0, 5, 0, 0, 5, 0, 5], [0, 0, 5, 0, 5, 0, 0, 0, 5, 5, 5, 0, 5, 0, 0, 5, 5, 0, 5, 5], [5, 0, 5, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 5, 0, 0, 0, 5, 0], [0, 5, 0, 5, 0, 0, 5, 5, 0, 5, 0, 0, 5, 0, 0, 0, 5, 5, 5, 5], [0, 5, 5, 5, 0, 5, 5, 5, 0, 0, 5, 5, 5, 0, 0, 5, 0, 5, 0, 0], [0, 5, 5, 5, 5, 0, 0, 5, 0, 5, 0, 5, 0, 5, 0, 5, 5, 0, 0, 0], [0, 0, 5, 0, 5, 5, 0, 0, 5, 5, 5, 0, 5, 5, 0, 0, 0, 0, 5, 0], [5, 5, 5, 0, 0, 5, 0, 0, 5, 0, 5, 5, 0, 5, 5, 5, 0, 5, 5, 5], [0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 6, 0, 0, 6], [6, 6, 0, 6, 0, 6, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 0], [0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0, 0], [0, 6, 6, 0, 0, 0, 6, 6, 6, 0, 6, 6, 0, 0, 6, 6, 6, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0], [6, 6, 0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 6, 0, 0, 0, 6, 0, 0, 0], [0, 6, 6, 0, 6, 6, 6, 6, 0, 0, 6, 6, 6, 6, 6, 0, 6, 0, 0, 6], [6, 6, 0, 0, 6, 0, 0, 0, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6, 0, 0], [0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6], [0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 6, 0, 0, 6, 6, 0, 6, 6], [6, 6, 0, 0, 0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6], [6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6], [0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 0, 6, 6, 0, 6, 0, 6, 0, 6], [6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 0, 6, 0], [6, 6, 6, 0, 0, 6, 0, 0, 0, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6], [0, 0, 0, 6, 0, 6, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6], [0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 6, 0, 6], [0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 0, 6, 6, 6, 6, 0, 6, 6, 0, 6]] -> [[0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 7], [7, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 0, 7, 0, 7, 7, 0, 7], [0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0, 0], [0, 0, 0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 0, 7, 0, 7, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 7, 0, 0, 7, 0, 0], [0, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 0, 0, 7, 7, 7, 7], [7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 0, 0, 7, 0, 0], [7, 7, 0, 0, 7, 0, 0, 0, 0, 7, 0, 7, 0, 0, 7, 7, 7, 7, 0, 0], [0, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0], [0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 7, 7, 0, 7, 0], [7, 7, 0, 7, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0, 7], [0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 7, 0, 0, 7, 0, 0, 7, 7, 7, 0], [7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0], [7, 0, 7, 7, 0, 7, 7, 7, 0, 0, 7, 7, 0, 7, 0, 0, 7, 7, 7, 0], [0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0], [0, 0, 0, 7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 7, 0, 0, 7, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0], [7, 0, 0, 7, 0, 7, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 7, 0, 7, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[8, 0, 8, 8, 0, 8, 8, 0, 0, 8, 0, 8, 8, 0, 8, 8, 0, 0, 0, 8], [0, 8, 0, 8, 0, 8, 8, 8, 0, 8, 0, 8, 0, 8, 0, 8, 0, 0, 8, 8], [8, 8, 0, 8, 0, 0, 8, 0, 0, 0, 8, 0, 8, 8, 8, 0, 8, 8, 0, 8], [0, 8, 8, 8, 0, 8, 8, 8, 0, 0, 8, 0, 0, 8, 8, 0, 8, 0, 0, 0], [8, 0, 8, 8, 8, 0, 8, 8, 0, 8, 0, 8, 8, 8, 8, 8, 0, 8, 0, 8], [0, 0, 0, 0, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 8, 8, 0, 0, 8, 8], [8, 8, 0, 0, 0, 8, 8, 0, 0, 0, 8, 0, 0, 0, 8, 8, 0, 8, 0, 8], [0, 8, 8, 0, 8, 8, 0, 0, 8, 8, 0, 0, 0, 0, 8, 0, 8, 8, 0, 8], [8, 8, 0, 8, 8, 0, 0, 8, 8, 8, 0, 8, 0, 8, 8, 8, 8, 8, 0, 8], [0, 0, 8, 0, 8, 0, 0, 0, 8, 0, 0, 8, 8, 0, 0, 8, 0, 0, 0, 8], [8, 0, 8, 8, 0, 0, 0, 0, 0, 8, 8, 8, 0, 8, 8, 8, 8, 8, 8, 0], [0, 0, 0, 8, 8, 0, 8, 0, 8, 0, 8, 8, 0, 0, 0, 8, 0, 0, 8, 0], [0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 8, 8, 0, 0, 8, 0, 0, 8, 0, 8], [0, 0, 8, 0, 8, 0, 0, 0, 8, 8, 8, 0, 8, 0, 0, 8, 8, 0, 8, 8], [8, 0, 8, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 8, 0, 0, 0, 8, 0], [0, 8, 0, 8, 0, 0, 8, 8, 0, 8, 0, 0, 8, 0, 0, 0, 8, 8, 8, 8], [0, 8, 8, 8, 0, 8, 8, 8, 0, 0, 8, 8, 8, 0, 0, 8, 0, 8, 0, 0], [0, 8, 8, 8, 8, 0, 0, 8, 0, 8, 0, 8, 0, 8, 0, 8, 8, 0, 0, 0], [0, 0, 8, 0, 8, 8, 0, 0, 8, 8, 8, 0, 8, 8, 0, 0, 0, 0, 8, 0], [8, 8, 8, 0, 0, 8, 0, 0, 8, 0, 8, 8, 0, 8, 8, 8, 0, 8, 8, 8], [0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 6, 0, 0, 6], [6, 6, 0, 6, 0, 6, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 0], [0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0, 0], [0, 6, 6, 0, 0, 0, 6, 6, 6, 0, 6, 6, 0, 0, 6, 6, 6, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0], [6, 6, 0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 6, 0, 0, 0, 6, 0, 0, 0], [0, 6, 6, 0, 6, 6, 6, 6, 0, 0, 6, 6, 6, 6, 6, 0, 6, 0, 0, 6], [6, 6, 0, 0, 6, 0, 0, 0, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6, 0, 0], [0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6], [0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 6, 0, 0, 6, 6, 0, 6, 6], [6, 6, 0, 0, 0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6], [6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6], [0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 0, 6, 6, 0, 6, 0, 6, 0, 6], [6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 0, 6, 0], [6, 6, 6, 0, 0, 6, 0, 0, 0, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6], [0, 0, 0, 6, 0, 6, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6], [0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 6, 0, 6], [0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 0, 6, 6, 6, 6, 0, 6, 6, 0, 6]] -> ",
+                "test": {
+                    "input": [
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+            "Replicate 2": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 5, 0, 0, 5, 0, 0, 0, 0, 5, 0], [5, 5, 5, 5, 0, 0, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 0, 5, 5, 5], [0, 5, 5, 0, 0, 0, 5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 5, 5, 0, 5], [5, 5, 5, 0, 5, 0, 0, 5, 5, 5, 0, 5, 5, 5, 5, 5, 0, 0, 5, 0], [5, 0, 5, 0, 0, 0, 0, 5, 5, 0, 5, 0, 0, 5, 0, 5, 0, 5, 0, 0], [5, 0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 5, 5, 0, 0, 5, 0, 5, 5, 5], [0, 0, 5, 5, 0, 0, 5, 0, 0, 5, 5, 0, 0, 0, 0, 5, 5, 5, 0, 5], [0, 0, 5, 5, 0, 5, 5, 5, 0, 5, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5], [5, 0, 5, 5, 0, 5, 0, 5, 0, 0, 5, 5, 0, 5, 5, 5, 5, 5, 5, 0], [0, 5, 5, 0, 5, 5, 0, 5, 5, 0, 0, 5, 0, 5, 0, 0, 5, 5, 5, 5], [0, 5, 0, 0, 5, 0, 5, 5, 0, 0, 5, 5, 5, 5, 0, 0, 0, 0, 5, 5], [5, 5, 0, 5, 0, 0, 5, 5, 0, 0, 0, 0, 5, 5, 0, 0, 5, 5, 5, 0], [0, 0, 5, 0, 5, 0, 5, 5, 5, 0, 5, 0, 5, 5, 5, 5, 0, 5, 5, 5], [5, 0, 5, 5, 0, 0, 0, 5, 5, 0, 0, 5, 0, 5, 5, 0, 0, 5, 0, 5], [0, 5, 5, 0, 5, 5, 5, 0, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0], [5, 0, 0, 5, 5, 5, 5, 0, 5, 0, 5, 5, 0, 0, 5, 5, 0, 5, 5, 0], [0, 5, 0, 0, 5, 0, 0, 5, 0, 5, 5, 0, 0, 0, 0, 5, 0, 0, 5, 5], [5, 0, 5, 5, 5, 0, 0, 5, 0, 0, 5, 5, 0, 5, 0, 0, 5, 0, 0, 5], [0, 0, 5, 0, 0, 5, 5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 0, 0, 5, 5], [0, 5, 5, 0, 5, 0, 0, 5, 0, 5, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0], [6, 6, 6, 0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 0], [6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 0, 6, 6, 6, 6, 0, 0, 0, 0], [0, 6, 6, 6, 0, 6, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6], [6, 6, 0, 6, 0, 0, 0, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 0], [0, 0, 6, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 6, 0, 0, 0, 6], [0, 0, 0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 0, 0, 6, 0, 6, 0, 6, 6], [0, 0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 6, 0, 6, 0, 0, 6, 0, 0, 0], [0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0, 0, 0, 6, 0], [6, 0, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 6, 6, 0, 0], [6, 6, 6, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0], [6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 0], [0, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 0, 0, 6, 6, 6, 6, 0, 0], [6, 0, 6, 6, 6, 6, 6, 0, 0, 6, 6, 0, 6, 6, 0, 6, 6, 6, 6, 6], [0, 0, 6, 6, 6, 0, 0, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 0], [6, 6, 0, 0, 6, 6, 0, 0, 0, 6, 6, 6, 6, 0, 0, 6, 6, 0, 6, 0], [0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 0, 6], [0, 0, 6, 0, 6, 0, 6, 6, 6, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6], [0, 6, 6, 0, 6, 6, 0, 6, 0, 6, 0, 0, 0, 6, 0, 6, 0, 6, 0, 0], [6, 0, 6, 0, 6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 0, 0], [0, 6, 6, 6, 0, 0, 6, 6, 0, 6, 0, 0, 6, 6, 0, 0, 6, 0, 6, 0]] -> [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0], [0, 0, 0, 0, 7, 7, 7, 0, 7, 7, 7, 0, 0, 7, 0, 7, 0, 7, 7, 7], [0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7], [0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 7, 0, 7, 7, 7, 7, 0, 7, 0, 0], [0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 0], [7, 0, 0, 7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 0, 0], [0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0], [0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 0, 7, 7, 0, 0, 7], [7, 0, 7, 7, 0, 7, 0, 7, 0, 0, 0, 7, 0, 7, 7, 0, 7, 7, 0, 0], [7, 0, 0, 7, 7, 0, 7, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7, 7], [0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0], [7, 7, 7, 0, 0, 7, 0, 0, 7, 7, 7, 0, 7, 7, 7, 7, 0, 0, 7, 0], [0, 0, 7, 0, 7, 0, 7, 0, 0, 0, 7, 0, 7, 7, 0, 7, 0, 7, 7, 7], [7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 7, 0, 0, 7, 7, 0, 0, 7, 7, 7], [0, 7, 0, 0, 7, 7, 0, 0, 0, 7, 7, 7, 7, 0, 0, 7, 7, 0, 0, 0], [7, 0, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 7], [0, 0, 0, 0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 7, 0, 0, 7, 7], [7, 7, 0, 7, 0, 7, 0, 0, 0, 7, 7, 7, 0, 0, 0, 7, 7, 7, 0, 7], [0, 0, 7, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0], [0, 0, 0, 7, 7, 0, 7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 5, 0, 0, 5, 0, 0, 0, 0, 5, 0], [5, 5, 5, 5, 0, 0, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 0, 5, 5, 5], [0, 5, 5, 0, 0, 0, 5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 5, 5, 0, 5], [5, 5, 5, 0, 5, 0, 0, 5, 5, 5, 0, 5, 5, 5, 5, 5, 0, 0, 5, 0], [5, 0, 5, 0, 0, 0, 0, 5, 5, 0, 5, 0, 0, 5, 0, 5, 0, 5, 0, 0], [5, 0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 5, 5, 0, 0, 5, 0, 5, 5, 5], [0, 0, 5, 5, 0, 0, 5, 0, 0, 5, 5, 0, 0, 0, 0, 5, 5, 5, 0, 5], [0, 0, 5, 5, 0, 5, 5, 5, 0, 5, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5], [5, 0, 5, 5, 0, 5, 0, 5, 0, 0, 5, 5, 0, 5, 5, 5, 5, 5, 5, 0], [0, 5, 5, 0, 5, 5, 0, 5, 5, 0, 0, 5, 0, 5, 0, 0, 5, 5, 5, 5], [0, 5, 0, 0, 5, 0, 5, 5, 0, 0, 5, 5, 5, 5, 0, 0, 0, 0, 5, 5], [5, 5, 0, 5, 0, 0, 5, 5, 0, 0, 0, 0, 5, 5, 0, 0, 5, 5, 5, 0], [0, 0, 5, 0, 5, 0, 5, 5, 5, 0, 5, 0, 5, 5, 5, 5, 0, 5, 5, 5], [5, 0, 5, 5, 0, 0, 0, 5, 5, 0, 0, 5, 0, 5, 5, 0, 0, 5, 0, 5], [0, 5, 5, 0, 5, 5, 5, 0, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0], [5, 0, 0, 5, 5, 5, 5, 0, 5, 0, 5, 5, 0, 0, 5, 5, 0, 5, 5, 0], [0, 5, 0, 0, 5, 0, 0, 5, 0, 5, 5, 0, 0, 0, 0, 5, 0, 0, 5, 5], [5, 0, 5, 5, 5, 0, 0, 5, 0, 0, 5, 5, 0, 5, 0, 0, 5, 0, 0, 5], [0, 0, 5, 0, 0, 5, 5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 0, 0, 5, 5], [0, 5, 5, 0, 5, 0, 0, 5, 0, 5, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0], [6, 6, 6, 0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 0], [6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 0, 6, 6, 6, 6, 0, 0, 0, 0], [0, 6, 6, 6, 0, 6, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6], [6, 6, 0, 6, 0, 0, 0, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 0], [0, 0, 6, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 6, 0, 0, 0, 6], [0, 0, 0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 0, 0, 6, 0, 6, 0, 6, 6], [0, 0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 6, 0, 6, 0, 0, 6, 0, 0, 0], [0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0, 0, 0, 6, 0], [6, 0, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 6, 6, 0, 0], [6, 6, 6, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0], [6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 0], [0, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 0, 0, 6, 6, 6, 6, 0, 0], [6, 0, 6, 6, 6, 6, 6, 0, 0, 6, 6, 0, 6, 6, 0, 6, 6, 6, 6, 6], [0, 0, 6, 6, 6, 0, 0, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 0], [6, 6, 0, 0, 6, 6, 0, 0, 0, 6, 6, 6, 6, 0, 0, 6, 6, 0, 6, 0], [0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 0, 6], [0, 0, 6, 0, 6, 0, 6, 6, 6, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6], [0, 6, 6, 0, 6, 6, 0, 6, 0, 6, 0, 0, 0, 6, 0, 6, 0, 6, 0, 0], [6, 0, 6, 0, 6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 0, 0], [0, 6, 6, 6, 0, 0, 6, 6, 0, 6, 0, 0, 6, 6, 0, 0, 6, 0, 6, 0]] -> [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0], [0, 0, 0, 0, 7, 7, 7, 0, 7, 7, 7, 0, 0, 7, 0, 7, 0, 7, 7, 7], [0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7], [0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 7, 0, 7, 7, 7, 7, 0, 7, 0, 0], [0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 0], [7, 0, 0, 7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 0, 0], [0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0], [0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 0, 7, 7, 0, 0, 7], [7, 0, 7, 7, 0, 7, 0, 7, 0, 0, 0, 7, 0, 7, 7, 0, 7, 7, 0, 0], [7, 0, 0, 7, 7, 0, 7, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7, 7], [0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0], [7, 7, 7, 0, 0, 7, 0, 0, 7, 7, 7, 0, 7, 7, 7, 7, 0, 0, 7, 0], [0, 0, 7, 0, 7, 0, 7, 0, 0, 0, 7, 0, 7, 7, 0, 7, 0, 7, 7, 7], [7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 7, 0, 0, 7, 7, 0, 0, 7, 7, 7], [0, 7, 0, 0, 7, 7, 0, 0, 0, 7, 7, 7, 7, 0, 0, 7, 7, 0, 0, 0], [7, 0, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 7], [0, 0, 0, 0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 7, 0, 0, 7, 7], [7, 7, 0, 7, 0, 7, 0, 0, 0, 7, 7, 7, 0, 0, 0, 7, 7, 7, 0, 7], [0, 0, 7, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0], [0, 0, 0, 7, 7, 0, 7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 0, 0, 0, 0, 0, 0, 8, 8, 0, 8, 0, 0, 8, 0, 0, 0, 0, 8, 0], [8, 8, 8, 8, 0, 0, 0, 8, 0, 8, 0, 0, 8, 0, 8, 0, 0, 8, 8, 8], [0, 8, 8, 0, 0, 0, 8, 8, 8, 8, 0, 8, 0, 0, 0, 8, 8, 8, 0, 8], [8, 8, 8, 0, 8, 0, 0, 8, 8, 8, 0, 8, 8, 8, 8, 8, 0, 0, 8, 0], [8, 0, 8, 0, 0, 0, 0, 8, 8, 0, 8, 0, 0, 8, 0, 8, 0, 8, 0, 0], [8, 0, 0, 0, 8, 8, 0, 0, 0, 8, 8, 8, 8, 0, 0, 8, 0, 8, 8, 8], [0, 0, 8, 8, 0, 0, 8, 0, 0, 8, 8, 0, 0, 0, 0, 8, 8, 8, 0, 8], [0, 0, 8, 8, 0, 8, 8, 8, 0, 8, 0, 0, 0, 0, 8, 8, 8, 0, 8, 8], [8, 0, 8, 8, 0, 8, 0, 8, 0, 0, 8, 8, 0, 8, 8, 8, 8, 8, 8, 0], [0, 8, 8, 0, 8, 8, 0, 8, 8, 0, 0, 8, 0, 8, 0, 0, 8, 8, 8, 8], [0, 8, 0, 0, 8, 0, 8, 8, 0, 0, 8, 8, 8, 8, 0, 0, 0, 0, 8, 8], [8, 8, 0, 8, 0, 0, 8, 8, 0, 0, 0, 0, 8, 8, 0, 0, 8, 8, 8, 0], [0, 0, 8, 0, 8, 0, 8, 8, 8, 0, 8, 0, 8, 8, 8, 8, 0, 8, 8, 8], [8, 0, 8, 8, 0, 0, 0, 8, 8, 0, 0, 8, 0, 8, 8, 0, 0, 8, 0, 8], [0, 8, 8, 0, 8, 8, 8, 0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 0], [8, 0, 0, 8, 8, 8, 8, 0, 8, 0, 8, 8, 0, 0, 8, 8, 0, 8, 8, 0], [0, 8, 0, 0, 8, 0, 0, 8, 0, 8, 8, 0, 0, 0, 0, 8, 0, 0, 8, 8], [8, 0, 8, 8, 8, 0, 0, 8, 0, 0, 8, 8, 0, 8, 0, 0, 8, 0, 0, 8], [0, 0, 8, 0, 0, 8, 8, 8, 8, 8, 0, 8, 0, 0, 0, 8, 0, 0, 8, 8], [0, 8, 8, 0, 8, 0, 0, 8, 0, 8, 0, 0, 8, 0, 0, 0, 0, 0, 8, 0], [6, 6, 6, 0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 0], [6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 0, 6, 6, 6, 6, 0, 0, 0, 0], [0, 6, 6, 6, 0, 6, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6], [6, 6, 0, 6, 0, 0, 0, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 0], [0, 0, 6, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 6, 0, 0, 0, 6], [0, 0, 0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 0, 0, 6, 0, 6, 0, 6, 6], [0, 0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 6, 0, 6, 0, 0, 6, 0, 0, 0], [0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0, 0, 0, 6, 0], [6, 0, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 6, 6, 0, 0], [6, 6, 6, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0], [6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 0], [0, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 0, 0, 6, 6, 6, 6, 0, 0], [6, 0, 6, 6, 6, 6, 6, 0, 0, 6, 6, 0, 6, 6, 0, 6, 6, 6, 6, 6], [0, 0, 6, 6, 6, 0, 0, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 0], [6, 6, 0, 0, 6, 6, 0, 0, 0, 6, 6, 6, 6, 0, 0, 6, 6, 0, 6, 0], [0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 0, 6], [0, 0, 6, 0, 6, 0, 6, 6, 6, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6], [0, 6, 6, 0, 6, 6, 0, 6, 0, 6, 0, 0, 0, 6, 0, 6, 0, 6, 0, 0], [6, 0, 6, 0, 6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 0, 0], [0, 6, 6, 6, 0, 0, 6, 6, 0, 6, 0, 0, 6, 6, 0, 0, 6, 0, 6, 0]] -> ",
+                "test": {
+                    "input": [
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+            "Replicate 3": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[5, 0, 5, 5, 0, 5, 5, 0, 0, 5, 0, 5, 5, 0, 5, 5, 0, 0, 0, 5], [0, 5, 0, 5, 0, 5, 5, 5, 0, 5, 0, 5, 0, 5, 0, 5, 0, 0, 5, 5], [5, 5, 0, 5, 0, 0, 5, 0, 0, 0, 5, 0, 5, 5, 5, 0, 5, 5, 0, 5], [0, 5, 5, 5, 0, 5, 5, 5, 0, 0, 5, 0, 0, 5, 5, 0, 5, 0, 0, 0], [5, 0, 5, 5, 5, 0, 5, 5, 0, 5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 5], [0, 0, 0, 0, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 5, 5], [5, 5, 0, 0, 0, 5, 5, 0, 0, 0, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5], [0, 5, 5, 0, 5, 5, 0, 0, 5, 5, 0, 0, 0, 0, 5, 0, 5, 5, 0, 5], [5, 5, 0, 5, 5, 0, 0, 5, 5, 5, 0, 5, 0, 5, 5, 5, 5, 5, 0, 5], [0, 0, 5, 0, 5, 0, 0, 0, 5, 0, 0, 5, 5, 0, 0, 5, 0, 0, 0, 5], [5, 0, 5, 5, 0, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 5, 5, 5, 0], [0, 0, 0, 5, 5, 0, 5, 0, 5, 0, 5, 5, 0, 0, 0, 5, 0, 0, 5, 0], [0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 5, 5, 0, 0, 5, 0, 0, 5, 0, 5], [0, 0, 5, 0, 5, 0, 0, 0, 5, 5, 5, 0, 5, 0, 0, 5, 5, 0, 5, 5], [5, 0, 5, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 5, 0, 0, 0, 5, 0], [0, 5, 0, 5, 0, 0, 5, 5, 0, 5, 0, 0, 5, 0, 0, 0, 5, 5, 5, 5], [0, 5, 5, 5, 0, 5, 5, 5, 0, 0, 5, 5, 5, 0, 0, 5, 0, 5, 0, 0], [0, 5, 5, 5, 5, 0, 0, 5, 0, 5, 0, 5, 0, 5, 0, 5, 5, 0, 0, 0], [0, 0, 5, 0, 5, 5, 0, 0, 5, 5, 5, 0, 5, 5, 0, 0, 0, 0, 5, 0], [5, 5, 5, 0, 0, 5, 0, 0, 5, 0, 5, 5, 0, 5, 5, 5, 0, 5, 5, 5], [0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 6, 0, 0, 6], [6, 6, 0, 6, 0, 6, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 0], [0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0, 0], [0, 6, 6, 0, 0, 0, 6, 6, 6, 0, 6, 6, 0, 0, 6, 6, 6, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0], [6, 6, 0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 6, 0, 0, 0, 6, 0, 0, 0], [0, 6, 6, 0, 6, 6, 6, 6, 0, 0, 6, 6, 6, 6, 6, 0, 6, 0, 0, 6], [6, 6, 0, 0, 6, 0, 0, 0, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6, 0, 0], [0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6], [0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 6, 0, 0, 6, 6, 0, 6, 6], [6, 6, 0, 0, 0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6], [6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6], [0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 0, 6, 6, 0, 6, 0, 6, 0, 6], [6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 0, 6, 0], [6, 6, 6, 0, 0, 6, 0, 0, 0, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6], [0, 0, 0, 6, 0, 6, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6], [0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 6, 0, 6], [0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 0, 6, 6, 6, 6, 0, 6, 6, 0, 6]] -> [[0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 7], [7, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 0, 7, 0, 7, 7, 0, 7], [0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0, 0], [0, 0, 0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 0, 7, 0, 7, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 7, 0, 0, 7, 0, 0], [0, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 0, 0, 7, 7, 7, 7], [7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 0, 0, 7, 0, 0], [7, 7, 0, 0, 7, 0, 0, 0, 0, 7, 0, 7, 0, 0, 7, 7, 7, 7, 0, 0], [0, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0], [0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 7, 7, 0, 7, 0], [7, 7, 0, 7, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0, 7], [0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 7, 0, 0, 7, 0, 0, 7, 7, 7, 0], [7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0], [7, 0, 7, 7, 0, 7, 7, 7, 0, 0, 7, 7, 0, 7, 0, 0, 7, 7, 7, 0], [0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0], [0, 0, 0, 7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 7, 0, 0, 7, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0], [7, 0, 0, 7, 0, 7, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 7, 0, 7, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[3, 0, 3, 3, 0, 3, 3, 0, 0, 3, 0, 3, 3, 0, 3, 3, 0, 0, 0, 3], [0, 3, 0, 3, 0, 3, 3, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 0, 3, 3], [3, 3, 0, 3, 0, 0, 3, 0, 0, 0, 3, 0, 3, 3, 3, 0, 3, 3, 0, 3], [0, 3, 3, 3, 0, 3, 3, 3, 0, 0, 3, 0, 0, 3, 3, 0, 3, 0, 0, 0], [3, 0, 3, 3, 3, 0, 3, 3, 0, 3, 0, 3, 3, 3, 3, 3, 0, 3, 0, 3], [0, 0, 0, 0, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 3, 3], [3, 3, 0, 0, 0, 3, 3, 0, 0, 0, 3, 0, 0, 0, 3, 3, 0, 3, 0, 3], [0, 3, 3, 0, 3, 3, 0, 0, 3, 3, 0, 0, 0, 0, 3, 0, 3, 3, 0, 3], [3, 3, 0, 3, 3, 0, 0, 3, 3, 3, 0, 3, 0, 3, 3, 3, 3, 3, 0, 3], [0, 0, 3, 0, 3, 0, 0, 0, 3, 0, 0, 3, 3, 0, 0, 3, 0, 0, 0, 3], [3, 0, 3, 3, 0, 0, 0, 0, 0, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 0], [0, 0, 0, 3, 3, 0, 3, 0, 3, 0, 3, 3, 0, 0, 0, 3, 0, 0, 3, 0], [0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 3, 3, 0, 0, 3, 0, 0, 3, 0, 3], [0, 0, 3, 0, 3, 0, 0, 0, 3, 3, 3, 0, 3, 0, 0, 3, 3, 0, 3, 3], [3, 0, 3, 0, 0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0], [0, 3, 0, 3, 0, 0, 3, 3, 0, 3, 0, 0, 3, 0, 0, 0, 3, 3, 3, 3], [0, 3, 3, 3, 0, 3, 3, 3, 0, 0, 3, 3, 3, 0, 0, 3, 0, 3, 0, 0], [0, 3, 3, 3, 3, 0, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 3, 0, 0, 0], [0, 0, 3, 0, 3, 3, 0, 0, 3, 3, 3, 0, 3, 3, 0, 0, 0, 0, 3, 0], [3, 3, 3, 0, 0, 3, 0, 0, 3, 0, 3, 3, 0, 3, 3, 3, 0, 3, 3, 3], [0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 6, 0, 0, 6], [6, 6, 0, 6, 0, 6, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 0], [0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0, 0], [0, 6, 6, 0, 0, 0, 6, 6, 6, 0, 6, 6, 0, 0, 6, 6, 6, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0], [6, 6, 0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 6, 0, 0, 0, 6, 0, 0, 0], [0, 6, 6, 0, 6, 6, 6, 6, 0, 0, 6, 6, 6, 6, 6, 0, 6, 0, 0, 6], [6, 6, 0, 0, 6, 0, 0, 0, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6, 0, 0], [0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6], [0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 6, 0, 0, 6, 6, 0, 6, 6], [6, 6, 0, 0, 0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6], [6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6], [0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 0, 6, 6, 0, 6, 0, 6, 0, 6], [6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 0, 6, 0], [6, 6, 6, 0, 0, 6, 0, 0, 0, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6], [0, 0, 0, 6, 0, 6, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6], [0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 6, 0, 6], [0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 0, 6, 6, 6, 6, 0, 6, 6, 0, 6]] -> [[0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 7], [7, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 0, 7, 0, 7, 7, 0, 7], [0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0, 0], [0, 0, 0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 0, 7, 0, 7, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 7, 0, 0, 7, 0, 0], [0, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 0, 0, 7, 7, 7, 7], [7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 0, 0, 7, 0, 0], [7, 7, 0, 0, 7, 0, 0, 0, 0, 7, 0, 7, 0, 0, 7, 7, 7, 7, 0, 0], [0, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0], [0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 7, 7, 0, 7, 0], [7, 7, 0, 7, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0, 7], [0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 7, 0, 0, 7, 0, 0, 7, 7, 7, 0], [7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0], [7, 0, 7, 7, 0, 7, 7, 7, 0, 0, 7, 7, 0, 7, 0, 0, 7, 7, 7, 0], [0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0], [0, 0, 0, 7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 7, 0, 0, 7, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0], [7, 0, 0, 7, 0, 7, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 7, 0, 7, 0]]\nExample input-output arrays:\n[[5, 5, 0, 5, 5, 5, 0, 5, 5, 0, 5, 0, 5, 5, 5, 0, 0, 0, 0, 0], [5, 5, 5, 5, 5, 5, 5, 0, 5, 5, 5, 5, 0, 0, 0, 0, 5, 5, 0, 0], [5, 5, 0, 5, 5, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 0, 0, 0, 0, 0], [0, 5, 0, 5, 5, 5, 5, 0, 5, 5, 0, 5, 0, 5, 5, 0, 5, 0, 0, 5], [0, 5, 5, 5, 0, 0, 0, 5, 0, 0, 5, 0, 0, 5, 5, 0, 5, 0, 5, 5], [5, 0, 0, 5, 5, 5, 0, 5, 0, 5, 5, 0, 5, 0, 5, 5, 0, 5, 0, 0], [0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 5, 5, 5, 5, 5, 5], [0, 0, 5, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 5, 0], [5, 5, 5, 5, 5, 0, 0, 5, 0, 5, 5, 5, 5, 0, 0, 0, 0, 0, 5, 5], [5, 5, 5, 5, 5, 5, 0, 5, 5, 0, 0, 5, 5, 0, 5, 5, 0, 0, 5, 5], [5, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 5, 0, 0, 0, 5, 5, 0, 5, 5], [5, 5, 0, 0, 0, 0, 5, 5, 5, 0, 0, 5, 5, 0, 0, 5, 5, 0, 5, 0], [5, 5, 0, 0, 0, 5, 5, 5, 5, 5, 5, 0, 0, 5, 5, 0, 5, 0, 5, 0], [0, 0, 5, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0], [5, 5, 0, 0, 5, 5, 0, 5, 5, 0, 0, 0, 5, 0, 5, 0, 0, 0, 0, 0], [5, 0, 5, 0, 0, 5, 5, 0, 5, 0, 5, 0, 5, 0, 0, 5, 5, 0, 0, 5], [0, 0, 5, 0, 0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 0, 0, 5, 0, 0, 0], [5, 5, 0, 0, 5, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 5, 5, 5, 5, 5], [0, 5, 0, 5, 0, 5, 0, 5, 0, 0, 0, 5, 5, 5, 5, 5, 0, 5, 5, 5], [0, 5, 5, 5, 5, 0, 0, 0, 0, 5, 0, 5, 5, 5, 5, 0, 0, 0, 5, 5], [0, 0, 0, 0, 6, 0, 0, 6, 0, 6, 6, 0, 0, 0, 0, 0, 6, 6, 0, 6], [0, 6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 6], [0, 6, 6, 6, 6, 6, 0, 6, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0], [6, 6, 6, 6, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 6, 6, 0, 0, 6, 0], [0, 0, 6, 0, 0, 6, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 0, 0], [6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 6, 0, 0], [6, 6, 6, 6, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0, 6, 0, 0, 6, 6, 0], [0, 0, 6, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 6, 0, 0], [0, 6, 6, 0, 0, 6, 0, 6, 6, 0, 6, 0, 6, 0, 0, 6, 0, 6, 0, 6], [6, 6, 0, 0, 6, 6, 0, 6, 6, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0, 6], [6, 6, 0, 6, 6, 6, 6, 6, 0, 6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 6], [0, 0, 6, 6, 6, 0, 0, 6, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0], [6, 6, 0, 6, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 6, 0, 6, 6, 6, 0], [0, 0, 6, 0, 0, 6, 6, 6, 0, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 0], [0, 6, 0, 0, 6, 0, 0, 0, 6, 0, 6, 0, 6, 0, 0, 6, 0, 6, 6, 0], [6, 0, 0, 0, 6, 0, 0, 6, 6, 6, 6, 0, 0, 0, 6, 6, 0, 6, 6, 0], [6, 6, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 0], [6, 0, 6, 0, 6, 6, 6, 0, 6, 6, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6], [0, 0, 0, 6, 6, 6, 0, 0, 6, 6, 6, 0, 6, 6, 0, 0, 6, 6, 0, 6], [0, 0, 6, 0, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 6]] -> [[0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0], [7, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7, 7, 7, 7, 0, 0, 7, 7, 7], [0, 7, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [7, 0, 7, 0, 7, 7, 7, 0, 0, 0, 0, 7, 0, 7, 0, 7, 7, 0, 7, 7], [0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 7, 7, 0, 0, 0, 0, 0], [0, 7, 7, 7, 7, 7, 0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 0, 0, 0, 0], [0, 0, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0, 0, 7, 7, 0], [0, 0, 0, 7, 7, 0, 0, 7, 0, 7, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0], [0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 7], [0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 7, 0], [7, 0, 0, 0, 7, 0, 0, 7, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7], [7, 7, 7, 7, 7, 0, 7, 0, 7, 7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 0], [7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 7, 0], [0, 0, 0, 0, 0, 7, 7, 0, 7, 7, 0, 0, 0, 7, 0, 7, 7, 7, 7, 0], [0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 7, 0, 7, 7, 7, 7, 0, 7, 0, 0, 7, 0, 7, 0, 7, 7, 7, 7], [0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0], [0, 7, 7, 0, 0, 0, 7, 0, 7, 0, 7, 7, 0, 0, 7, 0, 7, 0, 7, 0], [0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 7, 0, 7], [0, 7, 0, 7, 0, 7, 7, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0], [2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0], [2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0], [0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2], [0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2], [2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0], [0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2], [0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0], [2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2], [2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2], [2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2], [2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0], [2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0], [0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0], [2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2], [0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0], [2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2], [0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2], [0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2], [0, 0, 0, 0, 6, 0, 0, 6, 0, 6, 6, 0, 0, 0, 0, 0, 6, 6, 0, 6], [0, 6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 6], [0, 6, 6, 6, 6, 6, 0, 6, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0], [6, 6, 6, 6, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 6, 6, 0, 0, 6, 0], [0, 0, 6, 0, 0, 6, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 0, 0], [6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 6, 0, 0], [6, 6, 6, 6, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0, 6, 0, 0, 6, 6, 0], [0, 0, 6, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 6, 0, 0], [0, 6, 6, 0, 0, 6, 0, 6, 6, 0, 6, 0, 6, 0, 0, 6, 0, 6, 0, 6], [6, 6, 0, 0, 6, 6, 0, 6, 6, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0, 6], [6, 6, 0, 6, 6, 6, 6, 6, 0, 6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 6], [0, 0, 6, 6, 6, 0, 0, 6, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0], [6, 6, 0, 6, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 6, 0, 6, 6, 6, 0], [0, 0, 6, 0, 0, 6, 6, 6, 0, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 0], [0, 6, 0, 0, 6, 0, 0, 0, 6, 0, 6, 0, 6, 0, 0, 6, 0, 6, 6, 0], [6, 0, 0, 0, 6, 0, 0, 6, 6, 6, 6, 0, 0, 0, 6, 6, 0, 6, 6, 0], [6, 6, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 0], [6, 0, 6, 0, 6, 6, 6, 0, 6, 6, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6], [0, 0, 0, 6, 6, 6, 0, 0, 6, 6, 6, 0, 6, 6, 0, 0, 6, 6, 0, 6], [0, 0, 6, 0, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 6]] -> ",
+                "test": {
+                    "input": [
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+                    ]
+                }
+            },
+            "Replicate 4": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[5, 5, 0, 5, 5, 5, 0, 5, 5, 0, 5, 0, 5, 5, 5, 0, 0, 0, 0, 0], [5, 5, 5, 5, 5, 5, 5, 0, 5, 5, 5, 5, 0, 0, 0, 0, 5, 5, 0, 0], [5, 5, 0, 5, 5, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 0, 0, 0, 0, 0], [0, 5, 0, 5, 5, 5, 5, 0, 5, 5, 0, 5, 0, 5, 5, 0, 5, 0, 0, 5], [0, 5, 5, 5, 0, 0, 0, 5, 0, 0, 5, 0, 0, 5, 5, 0, 5, 0, 5, 5], [5, 0, 0, 5, 5, 5, 0, 5, 0, 5, 5, 0, 5, 0, 5, 5, 0, 5, 0, 0], [0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 5, 5, 5, 5, 5, 5], [0, 0, 5, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 5, 0], [5, 5, 5, 5, 5, 0, 0, 5, 0, 5, 5, 5, 5, 0, 0, 0, 0, 0, 5, 5], [5, 5, 5, 5, 5, 5, 0, 5, 5, 0, 0, 5, 5, 0, 5, 5, 0, 0, 5, 5], [5, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 5, 0, 0, 0, 5, 5, 0, 5, 5], [5, 5, 0, 0, 0, 0, 5, 5, 5, 0, 0, 5, 5, 0, 0, 5, 5, 0, 5, 0], [5, 5, 0, 0, 0, 5, 5, 5, 5, 5, 5, 0, 0, 5, 5, 0, 5, 0, 5, 0], [0, 0, 5, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0], [5, 5, 0, 0, 5, 5, 0, 5, 5, 0, 0, 0, 5, 0, 5, 0, 0, 0, 0, 0], [5, 0, 5, 0, 0, 5, 5, 0, 5, 0, 5, 0, 5, 0, 0, 5, 5, 0, 0, 5], [0, 0, 5, 0, 0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 0, 0, 5, 0, 0, 0], [5, 5, 0, 0, 5, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 5, 5, 5, 5, 5], [0, 5, 0, 5, 0, 5, 0, 5, 0, 0, 0, 5, 5, 5, 5, 5, 0, 5, 5, 5], [0, 5, 5, 5, 5, 0, 0, 0, 0, 5, 0, 5, 5, 5, 5, 0, 0, 0, 5, 5], [0, 0, 0, 0, 6, 0, 0, 6, 0, 6, 6, 0, 0, 0, 0, 0, 6, 6, 0, 6], [0, 6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 6], [0, 6, 6, 6, 6, 6, 0, 6, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0], [6, 6, 6, 6, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 6, 6, 0, 0, 6, 0], [0, 0, 6, 0, 0, 6, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 0, 0], [6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 6, 0, 0], [6, 6, 6, 6, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0, 6, 0, 0, 6, 6, 0], [0, 0, 6, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 6, 0, 0], [0, 6, 6, 0, 0, 6, 0, 6, 6, 0, 6, 0, 6, 0, 0, 6, 0, 6, 0, 6], [6, 6, 0, 0, 6, 6, 0, 6, 6, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0, 6], [6, 6, 0, 6, 6, 6, 6, 6, 0, 6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 6], [0, 0, 6, 6, 6, 0, 0, 6, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0], [6, 6, 0, 6, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 6, 0, 6, 6, 6, 0], [0, 0, 6, 0, 0, 6, 6, 6, 0, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 0], [0, 6, 0, 0, 6, 0, 0, 0, 6, 0, 6, 0, 6, 0, 0, 6, 0, 6, 6, 0], [6, 0, 0, 0, 6, 0, 0, 6, 6, 6, 6, 0, 0, 0, 6, 6, 0, 6, 6, 0], [6, 6, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 0], [6, 0, 6, 0, 6, 6, 6, 0, 6, 6, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6], [0, 0, 0, 6, 6, 6, 0, 0, 6, 6, 6, 0, 6, 6, 0, 0, 6, 6, 0, 6], [0, 0, 6, 0, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 6]] -> [[0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0], [7, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7, 7, 7, 7, 0, 0, 7, 7, 7], [0, 7, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [7, 0, 7, 0, 7, 7, 7, 0, 0, 0, 0, 7, 0, 7, 0, 7, 7, 0, 7, 7], [0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 7, 7, 0, 0, 0, 0, 0], [0, 7, 7, 7, 7, 7, 0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 0, 0, 0, 0], [0, 0, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0, 0, 7, 7, 0], [0, 0, 0, 7, 7, 0, 0, 7, 0, 7, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0], [0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 7], [0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 7, 0], [7, 0, 0, 0, 7, 0, 0, 7, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7], [7, 7, 7, 7, 7, 0, 7, 0, 7, 7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 0], [7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 7, 0], [0, 0, 0, 0, 0, 7, 7, 0, 7, 7, 0, 0, 0, 7, 0, 7, 7, 7, 7, 0], [0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 7, 0, 7, 7, 7, 7, 0, 7, 0, 0, 7, 0, 7, 0, 7, 7, 7, 7], [0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0], [0, 7, 7, 0, 0, 0, 7, 0, 7, 0, 7, 7, 0, 0, 7, 0, 7, 0, 7, 0], [0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 7, 0, 7], [0, 7, 0, 7, 0, 7, 7, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [0, 6, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0], [0, 6, 6, 6, 0, 6, 0, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 6, 0, 0], [0, 0, 0, 6, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 0, 6, 6, 0], [0, 0, 6, 6, 0, 0, 6, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 0, 6, 6], [0, 6, 0, 0, 0, 6, 6, 6, 6, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0], [6, 0, 6, 0, 0, 0, 6, 0, 6, 6, 0, 0, 6, 0, 6, 6, 6, 6, 6, 0], [6, 0, 0, 6, 6, 6, 0, 0, 0, 6, 6, 6, 0, 0, 6, 6, 6, 0, 6, 0], [6, 0, 6, 0, 6, 6, 6, 0, 0, 0, 6, 0, 6, 6, 0, 0, 6, 0, 0, 6], [6, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6], [0, 0, 6, 0, 6, 0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 6, 0, 6, 6, 6], [0, 0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 0, 0, 6, 6, 6, 6, 0, 0, 6], [6, 6, 0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 0, 0, 0, 6, 6, 6, 6, 0], [0, 0, 6, 6, 0, 0, 0, 0, 6, 0, 0, 6, 6, 6, 0, 6, 6, 0, 6, 6], [6, 6, 0, 0, 0, 6, 0, 0, 6, 0, 6, 6, 0, 6, 0, 6, 0, 6, 6, 0], [0, 6, 0, 0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6, 6, 0], [0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 0, 0, 6, 6, 0, 0, 0, 6, 6, 6], [0, 0, 6, 6, 6, 0, 6, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0], [6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 0, 0, 0, 6, 6], [6, 6, 0, 6, 6, 6, 0, 6, 0, 0, 0, 0, 0, 6, 0, 0, 6, 6, 6, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0, 0, 6, 6, 6]] -> [[0, 7, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0], [7, 0, 0, 0, 7, 0, 7, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 0, 7, 7], [0, 0, 0, 7, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 7, 0, 0, 7, 7, 0], [7, 7, 0, 0, 7, 7, 0, 7, 0, 0, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0], [0, 7, 0, 0, 0, 7, 7, 7, 7, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0], [0, 7, 0, 7, 7, 7, 0, 7, 0, 0, 7, 7, 0, 7, 0, 0, 0, 0, 0, 7], [7, 0, 0, 7, 7, 7, 0, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 7, 0], [0, 7, 0, 7, 0, 0, 0, 7, 7, 7, 0, 7, 0, 0, 7, 7, 0, 7, 7, 0], [7, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 7, 7], [7, 7, 0, 7, 0, 7, 7, 0, 7, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0], [0, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7, 0, 0, 7, 7, 7, 7, 0, 0, 7], [0, 0, 7, 0, 0, 7, 7, 0, 0, 7, 0, 7, 7, 7, 7, 0, 0, 0, 0, 7], [0, 0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 7, 7, 7, 0, 7, 7, 0, 7, 7], [0, 0, 7, 7, 7, 0, 7, 7, 0, 7, 0, 0, 7, 0, 7, 0, 7, 0, 0, 7], [0, 7, 0, 0, 0, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 0], [7, 7, 7, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0, 0, 7, 7, 7, 0, 0, 0], [0, 0, 7, 7, 7, 0, 7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 7, 0], [0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0], [7, 7, 0, 7, 7, 7, 0, 7, 0, 0, 0, 0, 0, 7, 0, 0, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 7, 7, 7, 7, 7, 0, 0, 0]]\nExample input-output arrays:\n[[5, 0, 5, 5, 0, 5, 5, 0, 0, 5, 0, 5, 5, 0, 5, 5, 0, 0, 0, 5], [0, 5, 0, 5, 0, 5, 5, 5, 0, 5, 0, 5, 0, 5, 0, 5, 0, 0, 5, 5], [5, 5, 0, 5, 0, 0, 5, 0, 0, 0, 5, 0, 5, 5, 5, 0, 5, 5, 0, 5], [0, 5, 5, 5, 0, 5, 5, 5, 0, 0, 5, 0, 0, 5, 5, 0, 5, 0, 0, 0], [5, 0, 5, 5, 5, 0, 5, 5, 0, 5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 5], [0, 0, 0, 0, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 5, 5], [5, 5, 0, 0, 0, 5, 5, 0, 0, 0, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5], [0, 5, 5, 0, 5, 5, 0, 0, 5, 5, 0, 0, 0, 0, 5, 0, 5, 5, 0, 5], [5, 5, 0, 5, 5, 0, 0, 5, 5, 5, 0, 5, 0, 5, 5, 5, 5, 5, 0, 5], [0, 0, 5, 0, 5, 0, 0, 0, 5, 0, 0, 5, 5, 0, 0, 5, 0, 0, 0, 5], [5, 0, 5, 5, 0, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 5, 5, 5, 0], [0, 0, 0, 5, 5, 0, 5, 0, 5, 0, 5, 5, 0, 0, 0, 5, 0, 0, 5, 0], [0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 5, 5, 0, 0, 5, 0, 0, 5, 0, 5], [0, 0, 5, 0, 5, 0, 0, 0, 5, 5, 5, 0, 5, 0, 0, 5, 5, 0, 5, 5], [5, 0, 5, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 5, 0, 0, 0, 5, 0], [0, 5, 0, 5, 0, 0, 5, 5, 0, 5, 0, 0, 5, 0, 0, 0, 5, 5, 5, 5], [0, 5, 5, 5, 0, 5, 5, 5, 0, 0, 5, 5, 5, 0, 0, 5, 0, 5, 0, 0], [0, 5, 5, 5, 5, 0, 0, 5, 0, 5, 0, 5, 0, 5, 0, 5, 5, 0, 0, 0], [0, 0, 5, 0, 5, 5, 0, 0, 5, 5, 5, 0, 5, 5, 0, 0, 0, 0, 5, 0], [5, 5, 5, 0, 0, 5, 0, 0, 5, 0, 5, 5, 0, 5, 5, 5, 0, 5, 5, 5], [0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 6, 0, 0, 6], [6, 6, 0, 6, 0, 6, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 0], [0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0, 0], [0, 6, 6, 0, 0, 0, 6, 6, 6, 0, 6, 6, 0, 0, 6, 6, 6, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0], [6, 6, 0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 6, 0, 0, 0, 6, 0, 0, 0], [0, 6, 6, 0, 6, 6, 6, 6, 0, 0, 6, 6, 6, 6, 6, 0, 6, 0, 0, 6], [6, 6, 0, 0, 6, 0, 0, 0, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6, 0, 0], [0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6], [0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 6, 0, 0, 6, 6, 0, 6, 6], [6, 6, 0, 0, 0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6], [6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6], [0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 0, 6, 6, 0, 6, 0, 6, 0, 6], [6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 0, 6, 0], [6, 6, 6, 0, 0, 6, 0, 0, 0, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6], [0, 0, 0, 6, 0, 6, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6], [0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 6, 0, 6], [0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 0, 6, 6, 6, 6, 0, 6, 6, 0, 6]] -> [[0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 7], [7, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 0, 7, 0, 7, 7, 0, 7], [0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0, 0], [0, 0, 0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 0, 7, 0, 7, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 7, 0, 0, 7, 0, 0], [0, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 0, 0, 7, 7, 7, 7], [7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 0, 0, 7, 0, 0], [7, 7, 0, 0, 7, 0, 0, 0, 0, 7, 0, 7, 0, 0, 7, 7, 7, 7, 0, 0], [0, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0], [0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 7, 7, 0, 7, 0], [7, 7, 0, 7, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0, 7], [0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 7, 0, 0, 7, 0, 0, 7, 7, 7, 0], [7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0], [7, 0, 7, 7, 0, 7, 7, 7, 0, 0, 7, 7, 0, 7, 0, 0, 7, 7, 7, 0], [0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0], [0, 0, 0, 7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 7, 0, 0, 7, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0], [7, 0, 0, 7, 0, 7, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 7, 0, 7, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 5, 5, 5, 5, 0, 5, 5, 5, 5, 5, 5, 0, 5, 0, 0, 0, 0, 5, 0], [5, 5, 0, 5, 0, 5, 5, 5, 0, 0, 5, 0, 0, 0, 5, 0, 5, 0, 5, 0], [0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 5, 0, 5, 5, 5, 5, 5, 5, 0, 5, 0, 5, 5, 5, 5, 0], [5, 0, 0, 5, 5, 5, 5, 0, 5, 5, 5, 5, 0, 5, 5, 5, 0, 5, 5, 0], [0, 5, 5, 5, 5, 5, 5, 5, 0, 5, 0, 0, 5, 5, 0, 0, 5, 5, 5, 5], [0, 0, 0, 0, 5, 5, 5, 0, 0, 5, 5, 0, 0, 5, 5, 0, 0, 0, 0, 0], [5, 5, 5, 5, 5, 0, 0, 0, 0, 5, 0, 5, 5, 5, 0, 5, 5, 0, 5, 5], [5, 0, 5, 0, 5, 5, 0, 0, 5, 0, 5, 0, 5, 5, 0, 0, 0, 5, 0, 0], [0, 5, 0, 0, 0, 5, 0, 0, 0, 0, 5, 5, 0, 5, 0, 5, 5, 0, 0, 5], [0, 0, 5, 5, 0, 5, 0, 5, 0, 0, 0, 5, 0, 0, 0, 0, 5, 5, 5, 0], [0, 0, 5, 0, 0, 0, 5, 0, 5, 0, 0, 5, 0, 0, 5, 5, 0, 5, 5, 0], [0, 5, 5, 5, 0, 0, 0, 0, 5, 5, 0, 5, 0, 5, 5, 0, 5, 0, 0, 0], [0, 0, 5, 5, 0, 5, 5, 0, 0, 0, 5, 5, 0, 0, 0, 5, 0, 5, 0, 0], [5, 5, 5, 5, 0, 0, 5, 0, 5, 0, 0, 5, 5, 5, 5, 0, 5, 0, 5, 5], [0, 0, 5, 0, 5, 5, 0, 0, 5, 0, 5, 5, 0, 5, 5, 5, 0, 5, 5, 5], [5, 0, 0, 0, 5, 5, 5, 0, 0, 5, 0, 5, 5, 0, 5, 5, 5, 0, 5, 0], [0, 0, 5, 0, 5, 0, 5, 5, 5, 5, 0, 5, 5, 5, 0, 0, 5, 0, 5, 0], [0, 5, 5, 5, 5, 5, 5, 0, 5, 0, 5, 0, 0, 5, 5, 0, 0, 5, 5, 5], [5, 5, 0, 5, 5, 5, 0, 5, 5, 0, 5, 5, 5, 0, 5, 0, 0, 0, 5, 5], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]] -> ",
+                "test": {
+                    "input": [
+                        [
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+                }
+            }
+        }
+    },
+    "SCMu3am!or!and!axis0!10x10": {
+        "L1": {
+            "Replicate 0": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 2, 2, 0, 2, 2, 0, 2, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 2, 2], [2, 0, 0, 2, 2, 2, 2, 0, 0, 0], [0, 0, 2, 0, 2, 2, 2, 0, 0, 2], [0, 2, 0, 2, 2, 0, 2, 0, 0, 0], [0, 2, 0, 0, 2, 0, 2, 2, 2, 2], [0, 2, 2, 0, 2, 2, 2, 0, 2, 0], [0, 2, 0, 2, 2, 2, 2, 0, 0, 2], [2, 0, 0, 2, 2, 2, 0, 2, 2, 0], [0, 0, 2, 0, 2, 2, 0, 2, 0, 0], [0, 0, 4, 4, 0, 4, 0, 0, 0, 0], [4, 0, 4, 0, 4, 4, 4, 0, 0, 0], [4, 4, 4, 0, 0, 4, 4, 0, 4, 0], [4, 0, 4, 0, 0, 4, 4, 0, 0, 4], [4, 0, 4, 0, 0, 4, 4, 0, 0, 0], [4, 4, 4, 0, 4, 0, 4, 0, 4, 0], [0, 0, 4, 4, 0, 0, 0, 4, 4, 4], [0, 0, 4, 0, 0, 4, 0, 4, 4, 0], [4, 0, 0, 4, 4, 4, 0, 4, 4, 4], [0, 4, 4, 0, 4, 4, 0, 0, 4, 4]] -> [[0, 6, 6, 6, 6, 6, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 6, 6, 6, 6, 6, 6, 0, 6, 0], [0, 0, 6, 0, 0, 6, 6, 0, 0, 6], [6, 6, 6, 6, 6, 6, 6, 0, 0, 0], [0, 6, 0, 0, 6, 0, 6, 0, 6, 0], [0, 6, 6, 6, 6, 6, 6, 6, 6, 6], [0, 0, 0, 0, 0, 6, 0, 0, 0, 0], [6, 0, 0, 6, 6, 6, 0, 6, 6, 6], [0, 0, 6, 0, 6, 6, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 2, 2, 2, 2, 2, 0, 2, 2, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2], [0, 0, 0, 0, 0, 2, 2, 0, 0, 2], [2, 2, 2, 0, 2, 2, 0, 2, 2, 2], [2, 2, 2, 2, 0, 2, 0, 0, 2, 2], [0, 2, 2, 0, 2, 0, 2, 0, 0, 2], [0, 2, 2, 0, 0, 0, 2, 2, 2, 2], [2, 0, 0, 2, 0, 0, 0, 0, 0, 2], [0, 2, 2, 0, 0, 2, 2, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 2, 2, 2], [4, 4, 0, 4, 0, 0, 4, 4, 0, 4], [4, 4, 4, 4, 0, 4, 4, 4, 0, 4], [4, 0, 4, 0, 0, 4, 4, 0, 0, 4], [0, 4, 0, 0, 0, 4, 0, 0, 4, 0], [4, 0, 4, 4, 4, 4, 4, 4, 0, 0], [0, 4, 0, 0, 0, 4, 0, 4, 0, 0], [4, 0, 0, 4, 4, 4, 0, 0, 4, 0], [0, 0, 0, 0, 4, 0, 4, 4, 4, 4], [0, 4, 0, 0, 0, 4, 4, 4, 0, 4], [0, 0, 0, 0, 0, 0, 4, 4, 0, 0]] -> [[6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 6], [6, 0, 6, 0, 0, 6, 6, 0, 0, 6], [0, 6, 0, 0, 0, 6, 0, 0, 6, 0], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [0, 6, 0, 0, 0, 0, 0, 0, 0, 0], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 6], [0, 6, 6, 0, 0, 6, 6, 6, 0, 6], [0, 0, 0, 0, 0, 0, 0, 6, 0, 0]]\nExample input-output arrays:\n[[0, 0, 2, 0, 0, 2, 2, 0, 0, 2], [0, 2, 2, 2, 2, 0, 0, 0, 2, 2], [2, 2, 2, 0, 2, 2, 2, 2, 2, 2], [0, 2, 0, 2, 2, 0, 2, 0, 0, 2], [0, 2, 0, 2, 2, 0, 0, 2, 2, 2], [2, 0, 0, 0, 0, 0, 2, 0, 2, 2], [0, 0, 2, 0, 0, 0, 0, 0, 0, 2], [0, 0, 2, 0, 0, 0, 2, 0, 2, 0], [2, 2, 0, 2, 0, 2, 0, 0, 2, 2], [0, 2, 0, 2, 0, 2, 0, 2, 2, 2], [4, 4, 4, 4, 4, 0, 4, 0, 4, 0], [0, 0, 0, 0, 0, 4, 0, 0, 0, 0], [4, 0, 4, 0, 0, 4, 4, 0, 4, 0], [4, 0, 0, 4, 0, 0, 4, 0, 0, 4], [4, 4, 0, 4, 0, 0, 4, 0, 4, 0], [0, 0, 0, 0, 4, 0, 4, 4, 0, 0], [0, 0, 0, 0, 4, 0, 0, 4, 4, 0], [0, 0, 0, 0, 0, 0, 4, 0, 4, 4], [4, 4, 0, 4, 0, 0, 4, 4, 0, 0], [0, 0, 0, 0, 4, 0, 4, 4, 4, 4]] -> [[6, 6, 6, 6, 6, 6, 6, 0, 6, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 6, 6, 0, 6, 6, 6, 6, 6, 6], [0, 0, 0, 6, 0, 0, 6, 0, 0, 6], [6, 6, 0, 6, 6, 0, 6, 6, 6, 6], [0, 0, 0, 0, 0, 0, 6, 0, 0, 0], [0, 0, 6, 0, 6, 0, 0, 6, 6, 6], [0, 0, 0, 0, 0, 0, 6, 0, 6, 0], [6, 6, 0, 6, 0, 6, 6, 6, 6, 6], [0, 0, 0, 0, 0, 0, 0, 6, 6, 6]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 0, 7, 0, 0, 7, 7, 0, 0, 7], [0, 7, 7, 7, 7, 0, 0, 0, 7, 7], [7, 7, 7, 0, 7, 7, 7, 7, 7, 7], [0, 7, 0, 7, 7, 0, 7, 0, 0, 7], [0, 7, 0, 7, 7, 0, 0, 7, 7, 7], [7, 0, 0, 0, 0, 0, 7, 0, 7, 7], [0, 0, 7, 0, 0, 0, 0, 0, 0, 7], [0, 0, 7, 0, 0, 0, 7, 0, 7, 0], [7, 7, 0, 7, 0, 7, 0, 0, 7, 7], [0, 7, 0, 7, 0, 7, 0, 7, 7, 7], [4, 4, 4, 4, 4, 0, 4, 0, 4, 0], [0, 0, 0, 0, 0, 4, 0, 0, 0, 0], [4, 0, 4, 0, 0, 4, 4, 0, 4, 0], [4, 0, 0, 4, 0, 0, 4, 0, 0, 4], [4, 4, 0, 4, 0, 0, 4, 0, 4, 0], [0, 0, 0, 0, 4, 0, 4, 4, 0, 0], [0, 0, 0, 0, 4, 0, 0, 4, 4, 0], [0, 0, 0, 0, 0, 0, 4, 0, 4, 4], [4, 4, 0, 4, 0, 0, 4, 4, 0, 0], [0, 0, 0, 0, 4, 0, 4, 4, 4, 4]] -> ",
+                "test": {
+                    "input": [
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+                    ],
+                    "output": [
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+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            6,
+                            6
+                        ]
+                    ]
+                }
+            },
+            "Replicate 1": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[2, 2, 2, 0, 0, 0, 0, 2, 2, 2], [0, 2, 2, 2, 2, 2, 0, 0, 2, 0], [0, 2, 0, 0, 2, 2, 0, 0, 2, 2], [2, 2, 0, 2, 2, 0, 0, 0, 2, 0], [2, 2, 0, 2, 2, 0, 2, 2, 2, 0], [2, 0, 0, 2, 2, 0, 0, 2, 2, 2], [0, 0, 0, 2, 0, 2, 0, 0, 2, 2], [2, 2, 0, 0, 0, 2, 0, 2, 0, 2], [2, 0, 2, 0, 0, 2, 2, 2, 0, 2], [0, 0, 0, 2, 2, 0, 2, 2, 2, 2], [0, 0, 4, 0, 0, 0, 0, 0, 4, 0], [0, 4, 0, 0, 4, 4, 0, 4, 4, 0], [4, 0, 4, 4, 4, 4, 0, 0, 0, 0], [4, 0, 0, 4, 0, 0, 4, 4, 0, 4], [0, 0, 4, 0, 0, 4, 4, 4, 4, 4], [0, 4, 0, 4, 0, 4, 0, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 0, 4], [4, 4, 0, 4, 0, 4, 0, 4, 0, 0], [4, 4, 0, 4, 0, 4, 0, 4, 0, 4], [0, 0, 4, 0, 0, 4, 0, 0, 0, 4]] -> [[6, 6, 6, 0, 0, 0, 0, 6, 6, 6], [0, 6, 0, 0, 6, 6, 0, 0, 6, 0], [6, 6, 6, 6, 6, 6, 0, 0, 6, 6], [6, 0, 0, 6, 0, 0, 0, 0, 0, 0], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [0, 0, 0, 6, 0, 0, 0, 6, 0, 0], [0, 0, 0, 6, 0, 6, 0, 6, 6, 6], [6, 6, 0, 0, 0, 6, 0, 6, 0, 0], [6, 6, 6, 6, 0, 6, 6, 6, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 6]]\nExample input-output arrays:\n[[0, 2, 2, 2, 0, 2, 0, 2, 0, 0], [2, 2, 2, 0, 0, 0, 2, 0, 2, 0], [2, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 0, 2, 0, 2, 0, 0], [0, 2, 0, 0, 2, 0, 2, 2, 2, 2], [0, 2, 2, 2, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 2, 2, 0, 2, 2, 0, 0, 2], [2, 0, 0, 2, 2, 2, 0, 0, 0, 0], [2, 0, 0, 0, 2, 0, 2, 0, 2, 2], [4, 0, 4, 0, 4, 4, 0, 4, 4, 0], [0, 0, 0, 0, 4, 4, 0, 0, 0, 0], [4, 0, 0, 4, 4, 4, 0, 0, 4, 4], [0, 4, 4, 4, 0, 4, 0, 4, 0, 0], [0, 4, 4, 4, 4, 0, 0, 0, 4, 0], [0, 4, 4, 4, 0, 0, 4, 0, 4, 4], [0, 4, 4, 4, 0, 4, 0, 4, 4, 4], [4, 0, 0, 4, 4, 0, 4, 4, 4, 4], [0, 0, 0, 0, 0, 4, 4, 0, 0, 4], [4, 0, 4, 4, 0, 0, 4, 4, 4, 4]] -> [[6, 6, 6, 6, 6, 6, 0, 6, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 6, 6, 6, 6, 0, 0, 6, 6], [0, 0, 6, 0, 0, 6, 0, 6, 0, 0], [0, 6, 6, 6, 6, 0, 6, 6, 6, 6], [0, 6, 6, 6, 0, 0, 0, 0, 0, 0], [0, 6, 6, 6, 0, 6, 0, 6, 6, 6], [0, 0, 0, 6, 0, 0, 6, 0, 0, 6], [6, 0, 0, 6, 6, 6, 6, 0, 0, 6], [6, 0, 0, 0, 0, 0, 6, 0, 6, 6]]\nExample input-output arrays:\n[[0, 2, 2, 2, 0, 2, 0, 2, 0, 0], [2, 2, 2, 0, 0, 0, 2, 0, 2, 0], [2, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 0, 2, 0, 2, 0, 0], [0, 2, 0, 0, 2, 0, 2, 2, 2, 2], [0, 2, 2, 2, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 2, 2, 0, 2, 2, 0, 0, 2], [2, 0, 0, 2, 2, 2, 0, 0, 0, 0], [2, 0, 0, 0, 2, 0, 2, 0, 2, 2], [4, 0, 4, 0, 4, 4, 0, 4, 4, 0], [0, 0, 0, 0, 4, 4, 0, 0, 0, 0], [4, 0, 0, 4, 4, 4, 0, 0, 4, 4], [0, 4, 4, 4, 0, 4, 0, 4, 0, 0], [0, 4, 4, 4, 4, 0, 0, 0, 4, 0], [0, 4, 4, 4, 0, 0, 4, 0, 4, 4], [0, 4, 4, 4, 0, 4, 0, 4, 4, 4], [4, 0, 0, 4, 4, 0, 4, 4, 4, 4], [0, 0, 0, 0, 0, 4, 4, 0, 0, 4], [4, 0, 4, 4, 0, 0, 4, 4, 4, 4]] -> [[6, 6, 6, 6, 6, 6, 0, 6, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 6, 6, 6, 6, 0, 0, 6, 6], [0, 0, 6, 0, 0, 6, 0, 6, 0, 0], [0, 6, 6, 6, 6, 0, 6, 6, 6, 6], [0, 6, 6, 6, 0, 0, 0, 0, 0, 0], [0, 6, 6, 6, 0, 6, 0, 6, 6, 6], [0, 0, 0, 6, 0, 0, 6, 0, 0, 6], [6, 0, 0, 6, 6, 6, 6, 0, 0, 6], [6, 0, 0, 0, 0, 0, 6, 0, 6, 6]]\nCounterfactual: Now imagine that we intervened on the previous input by changing the causal function for some elements.\n[[2, 0, 0, 0, 2, 0, 2, 0, 2, 2], [0, 0, 0, 2, 2, 2, 0, 2, 0, 2], [0, 2, 0, 2, 2, 2, 2, 2, 2, 2], [2, 2, 0, 2, 2, 0, 2, 0, 2, 2], [2, 0, 2, 2, 0, 2, 0, 0, 0, 0], [2, 0, 0, 0, 2, 0, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 0, 2], [2, 2, 0, 0, 2, 0, 0, 2, 2, 0], [0, 2, 2, 0, 0, 0, 2, 2, 2, 2], [0, 2, 2, 2, 0, 2, 0, 2, 0, 0], [0, 0, 0, 0, 0, 0, 4, 4, 4, 0], [4, 0, 4, 4, 0, 4, 0, 0, 4, 0], [4, 4, 0, 4, 4, 4, 0, 4, 0, 4], [0, 4, 4, 0, 4, 4, 0, 4, 4, 0], [0, 0, 4, 0, 0, 0, 0, 4, 0, 0], [4, 4, 0, 4, 4, 4, 0, 4, 0, 4], [4, 4, 4, 0, 0, 4, 0, 0, 4, 4], [0, 4, 4, 0, 0, 4, 4, 4, 4, 4], [0, 0, 0, 4, 4, 0, 0, 0, 0, 4], [0, 4, 4, 4, 0, 0, 0, 0, 0, 4]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            2
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2
+                        ],
+                        [
+                            0,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            0,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0
+                        ],
+                        [
+                            0,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            4,
+                            4,
+                            4,
+                            0
+                        ],
+                        [
+                            4,
+                            0,
+                            4,
+                            4,
+                            0,
+                            4,
+                            0,
+                            0,
+                            4,
+                            0
+                        ],
+                        [
+                            4,
+                            4,
+                            0,
+                            4,
+                            4,
+                            4,
+                            0,
+                            4,
+                            0,
+                            4
+                        ],
+                        [
+                            0,
+                            4,
+                            4,
+                            0,
+                            4,
+                            4,
+                            0,
+                            4,
+                            4,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0,
+                            4,
+                            0,
+                            0
+                        ],
+                        [
+                            4,
+                            4,
+                            0,
+                            4,
+                            4,
+                            4,
+                            0,
+                            4,
+                            0,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            4,
+                            0,
+                            0,
+                            4,
+                            4
+                        ],
+                        [
+                            0,
+                            4,
+                            4,
+                            0,
+                            0,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0,
+                            4
+                        ],
+                        [
+                            0,
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            4
+                        ]
+                    ],
+                    "output": [
+                        [
+                            6,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0
+                        ],
+                        [
+                            6,
+                            0,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0
+                        ],
+                        [
+                            6,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            6,
+                            0
+                        ],
+                        [
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ]
+                    ]
+                }
+            },
+            "Replicate 2": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 2, 2, 0, 2, 2, 0, 2, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 2, 2], [2, 0, 0, 2, 2, 2, 2, 0, 0, 0], [0, 0, 2, 0, 2, 2, 2, 0, 0, 2], [0, 2, 0, 2, 2, 0, 2, 0, 0, 0], [0, 2, 0, 0, 2, 0, 2, 2, 2, 2], [0, 2, 2, 0, 2, 2, 2, 0, 2, 0], [0, 2, 0, 2, 2, 2, 2, 0, 0, 2], [2, 0, 0, 2, 2, 2, 0, 2, 2, 0], [0, 0, 2, 0, 2, 2, 0, 2, 0, 0], [0, 0, 4, 4, 0, 4, 0, 0, 0, 0], [4, 0, 4, 0, 4, 4, 4, 0, 0, 0], [4, 4, 4, 0, 0, 4, 4, 0, 4, 0], [4, 0, 4, 0, 0, 4, 4, 0, 0, 4], [4, 0, 4, 0, 0, 4, 4, 0, 0, 0], [4, 4, 4, 0, 4, 0, 4, 0, 4, 0], [0, 0, 4, 4, 0, 0, 0, 4, 4, 4], [0, 0, 4, 0, 0, 4, 0, 4, 4, 0], [4, 0, 0, 4, 4, 4, 0, 4, 4, 4], [0, 4, 4, 0, 4, 4, 0, 0, 4, 4]] -> [[0, 6, 6, 6, 6, 6, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 6, 6, 6, 6, 6, 6, 0, 6, 0], [0, 0, 6, 0, 0, 6, 6, 0, 0, 6], [6, 6, 6, 6, 6, 6, 6, 0, 0, 0], [0, 6, 0, 0, 6, 0, 6, 0, 6, 0], [0, 6, 6, 6, 6, 6, 6, 6, 6, 6], [0, 0, 0, 0, 0, 6, 0, 0, 0, 0], [6, 0, 0, 6, 6, 6, 0, 6, 6, 6], [0, 0, 6, 0, 6, 6, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 2, 2, 2, 0, 2, 0, 2, 0, 0], [2, 2, 2, 0, 0, 0, 2, 0, 2, 0], [2, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 0, 2, 0, 2, 0, 0], [0, 2, 0, 0, 2, 0, 2, 2, 2, 2], [0, 2, 2, 2, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 2, 2, 0, 2, 2, 0, 0, 2], [2, 0, 0, 2, 2, 2, 0, 0, 0, 0], [2, 0, 0, 0, 2, 0, 2, 0, 2, 2], [4, 0, 4, 0, 4, 4, 0, 4, 4, 0], [0, 0, 0, 0, 4, 4, 0, 0, 0, 0], [4, 0, 0, 4, 4, 4, 0, 0, 4, 4], [0, 4, 4, 4, 0, 4, 0, 4, 0, 0], [0, 4, 4, 4, 4, 0, 0, 0, 4, 0], [0, 4, 4, 4, 0, 0, 4, 0, 4, 4], [0, 4, 4, 4, 0, 4, 0, 4, 4, 4], [4, 0, 0, 4, 4, 0, 4, 4, 4, 4], [0, 0, 0, 0, 0, 4, 4, 0, 0, 4], [4, 0, 4, 4, 0, 0, 4, 4, 4, 4]] -> [[6, 6, 6, 6, 6, 6, 0, 6, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 6, 6, 6, 6, 0, 0, 6, 6], [0, 0, 6, 0, 0, 6, 0, 6, 0, 0], [0, 6, 6, 6, 6, 0, 6, 6, 6, 6], [0, 6, 6, 6, 0, 0, 0, 0, 0, 0], [0, 6, 6, 6, 0, 6, 0, 6, 6, 6], [0, 0, 0, 6, 0, 0, 6, 0, 0, 6], [6, 0, 0, 6, 6, 6, 6, 0, 0, 6], [6, 0, 0, 0, 0, 0, 6, 0, 6, 6]]\nExample input-output arrays:\n[[0, 2, 2, 0, 2, 2, 0, 2, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 2, 2], [2, 0, 0, 2, 2, 2, 2, 0, 0, 0], [0, 0, 2, 0, 2, 2, 2, 0, 0, 2], [0, 2, 0, 2, 2, 0, 2, 0, 0, 0], [0, 2, 0, 0, 2, 0, 2, 2, 2, 2], [0, 2, 2, 0, 2, 2, 2, 0, 2, 0], [0, 2, 0, 2, 2, 2, 2, 0, 0, 2], [2, 0, 0, 2, 2, 2, 0, 2, 2, 0], [0, 0, 2, 0, 2, 2, 0, 2, 0, 0], [0, 0, 4, 4, 0, 4, 0, 0, 0, 0], [4, 0, 4, 0, 4, 4, 4, 0, 0, 0], [4, 4, 4, 0, 0, 4, 4, 0, 4, 0], [4, 0, 4, 0, 0, 4, 4, 0, 0, 4], [4, 0, 4, 0, 0, 4, 4, 0, 0, 0], [4, 4, 4, 0, 4, 0, 4, 0, 4, 0], [0, 0, 4, 4, 0, 0, 0, 4, 4, 4], [0, 0, 4, 0, 0, 4, 0, 4, 4, 0], [4, 0, 0, 4, 4, 4, 0, 4, 4, 4], [0, 4, 4, 0, 4, 4, 0, 0, 4, 4]] -> [[0, 6, 6, 6, 6, 6, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 6, 6, 6, 6, 6, 6, 0, 6, 0], [0, 0, 6, 0, 0, 6, 6, 0, 0, 6], [6, 6, 6, 6, 6, 6, 6, 0, 0, 0], [0, 6, 0, 0, 6, 0, 6, 0, 6, 0], [0, 6, 6, 6, 6, 6, 6, 6, 6, 6], [0, 0, 0, 0, 0, 6, 0, 0, 0, 0], [6, 0, 0, 6, 6, 6, 0, 6, 6, 6], [0, 0, 6, 0, 6, 6, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 4, 4, 4, 0, 4, 0, 4, 0], [0, 0, 0, 0, 0, 4, 4, 0, 0, 4], [0, 0, 0, 0, 0, 4, 4, 4, 4, 0], [4, 0, 4, 0, 0, 0, 4, 4, 0, 4], [0, 0, 4, 0, 0, 0, 4, 4, 0, 4], [4, 0, 4, 0, 0, 0, 4, 0, 4, 0], [0, 0, 0, 4, 4, 0, 4, 4, 0, 4], [4, 0, 0, 0, 4, 0, 0, 0, 0, 4], [0, 4, 0, 0, 4, 0, 4, 0, 0, 4], [4, 0, 4, 0, 0, 4, 0, 4, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            0,
+                            4,
+                            0,
+                            4,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            4,
+                            4,
+                            0,
+                            0,
+                            4
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            4,
+                            4,
+                            4,
+                            4,
+                            0
+                        ],
+                        [
+                            4,
+                            0,
+                            4,
+                            0,
+                            0,
+                            0,
+                            4,
+                            4,
+                            0,
+                            4
+                        ],
+                        [
+                            0,
+                            0,
+                            4,
+                            0,
+                            0,
+                            0,
+                            4,
+                            4,
+                            0,
+                            4
+                        ],
+                        [
+                            4,
+                            0,
+                            4,
+                            0,
+                            0,
+                            0,
+                            4,
+                            0,
+                            4,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            4,
+                            4,
+                            0,
+                            4,
+                            4,
+                            0,
+                            4
+                        ],
+                        [
+                            4,
+                            0,
+                            0,
+                            0,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0,
+                            4
+                        ],
+                        [
+                            0,
+                            4,
+                            0,
+                            0,
+                            4,
+                            0,
+                            4,
+                            0,
+                            0,
+                            4
+                        ],
+                        [
+                            4,
+                            0,
+                            4,
+                            0,
+                            0,
+                            4,
+                            0,
+                            4,
+                            0,
+                            0
+                        ]
+                    ],
+                    "output": [
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            6,
+                            6,
+                            0,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            0,
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0
+                        ]
+                    ]
+                }
+            },
+            "Replicate 3": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 2, 0, 0, 2, 2, 0, 0, 2], [0, 2, 2, 2, 2, 0, 0, 0, 2, 2], [2, 2, 2, 0, 2, 2, 2, 2, 2, 2], [0, 2, 0, 2, 2, 0, 2, 0, 0, 2], [0, 2, 0, 2, 2, 0, 0, 2, 2, 2], [2, 0, 0, 0, 0, 0, 2, 0, 2, 2], [0, 0, 2, 0, 0, 0, 0, 0, 0, 2], [0, 0, 2, 0, 0, 0, 2, 0, 2, 0], [2, 2, 0, 2, 0, 2, 0, 0, 2, 2], [0, 2, 0, 2, 0, 2, 0, 2, 2, 2], [4, 4, 4, 4, 4, 0, 4, 0, 4, 0], [0, 0, 0, 0, 0, 4, 0, 0, 0, 0], [4, 0, 4, 0, 0, 4, 4, 0, 4, 0], [4, 0, 0, 4, 0, 0, 4, 0, 0, 4], [4, 4, 0, 4, 0, 0, 4, 0, 4, 0], [0, 0, 0, 0, 4, 0, 4, 4, 0, 0], [0, 0, 0, 0, 4, 0, 0, 4, 4, 0], [0, 0, 0, 0, 0, 0, 4, 0, 4, 4], [4, 4, 0, 4, 0, 0, 4, 4, 0, 0], [0, 0, 0, 0, 4, 0, 4, 4, 4, 4]] -> [[6, 6, 6, 6, 6, 6, 6, 0, 6, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 6, 6, 0, 6, 6, 6, 6, 6, 6], [0, 0, 0, 6, 0, 0, 6, 0, 0, 6], [6, 6, 0, 6, 6, 0, 6, 6, 6, 6], [0, 0, 0, 0, 0, 0, 6, 0, 0, 0], [0, 0, 6, 0, 6, 0, 0, 6, 6, 6], [0, 0, 0, 0, 0, 0, 6, 0, 6, 0], [6, 6, 0, 6, 0, 6, 6, 6, 6, 6], [0, 0, 0, 0, 0, 0, 0, 6, 6, 6]]\nExample input-output arrays:\n[[0, 0, 2, 0, 0, 2, 2, 0, 0, 2], [0, 2, 2, 2, 2, 0, 0, 0, 2, 2], [2, 2, 2, 0, 2, 2, 2, 2, 2, 2], [0, 2, 0, 2, 2, 0, 2, 0, 0, 2], [0, 2, 0, 2, 2, 0, 0, 2, 2, 2], [2, 0, 0, 0, 0, 0, 2, 0, 2, 2], [0, 0, 2, 0, 0, 0, 0, 0, 0, 2], [0, 0, 2, 0, 0, 0, 2, 0, 2, 0], [2, 2, 0, 2, 0, 2, 0, 0, 2, 2], [0, 2, 0, 2, 0, 2, 0, 2, 2, 2], [4, 4, 4, 4, 4, 0, 4, 0, 4, 0], [0, 0, 0, 0, 0, 4, 0, 0, 0, 0], [4, 0, 4, 0, 0, 4, 4, 0, 4, 0], [4, 0, 0, 4, 0, 0, 4, 0, 0, 4], [4, 4, 0, 4, 0, 0, 4, 0, 4, 0], [0, 0, 0, 0, 4, 0, 4, 4, 0, 0], [0, 0, 0, 0, 4, 0, 0, 4, 4, 0], [0, 0, 0, 0, 0, 0, 4, 0, 4, 4], [4, 4, 0, 4, 0, 0, 4, 4, 0, 0], [0, 0, 0, 0, 4, 0, 4, 4, 4, 4]] -> [[6, 6, 6, 6, 6, 6, 6, 0, 6, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 6, 6, 0, 6, 6, 6, 6, 6, 6], [0, 0, 0, 6, 0, 0, 6, 0, 0, 6], [6, 6, 0, 6, 6, 0, 6, 6, 6, 6], [0, 0, 0, 0, 0, 0, 6, 0, 0, 0], [0, 0, 6, 0, 6, 0, 0, 6, 6, 6], [0, 0, 0, 0, 0, 0, 6, 0, 6, 0], [6, 6, 0, 6, 0, 6, 6, 6, 6, 6], [0, 0, 0, 0, 0, 0, 0, 6, 6, 6]]\nExample input-output arrays:\n[[0, 2, 2, 2, 2, 2, 0, 2, 2, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2], [0, 0, 0, 0, 0, 2, 2, 0, 0, 2], [2, 2, 2, 0, 2, 2, 0, 2, 2, 2], [2, 2, 2, 2, 0, 2, 0, 0, 2, 2], [0, 2, 2, 0, 2, 0, 2, 0, 0, 2], [0, 2, 2, 0, 0, 0, 2, 2, 2, 2], [2, 0, 0, 2, 0, 0, 0, 0, 0, 2], [0, 2, 2, 0, 0, 2, 2, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 2, 2, 2], [4, 4, 0, 4, 0, 0, 4, 4, 0, 4], [4, 4, 4, 4, 0, 4, 4, 4, 0, 4], [4, 0, 4, 0, 0, 4, 4, 0, 0, 4], [0, 4, 0, 0, 0, 4, 0, 0, 4, 0], [4, 0, 4, 4, 4, 4, 4, 4, 0, 0], [0, 4, 0, 0, 0, 4, 0, 4, 0, 0], [4, 0, 0, 4, 4, 4, 0, 0, 4, 0], [0, 0, 0, 0, 4, 0, 4, 4, 4, 4], [0, 4, 0, 0, 0, 4, 4, 4, 0, 4], [0, 0, 0, 0, 0, 0, 4, 4, 0, 0]] -> [[6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 6], [6, 0, 6, 0, 0, 6, 6, 0, 0, 6], [0, 6, 0, 0, 0, 6, 0, 0, 6, 0], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [0, 6, 0, 0, 0, 0, 0, 0, 0, 0], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 6], [0, 6, 6, 0, 0, 6, 6, 6, 0, 6], [0, 0, 0, 0, 0, 0, 0, 6, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 0, 0, 0, 4, 0, 0, 4, 4], [4, 4, 4, 4, 0, 0, 4, 4, 4, 0], [0, 0, 0, 0, 4, 4, 0, 0, 4, 4], [0, 0, 0, 0, 4, 0, 4, 0, 0, 0], [0, 4, 4, 0, 0, 0, 0, 0, 4, 0], [0, 0, 4, 0, 0, 0, 4, 4, 0, 4], [4, 0, 4, 0, 0, 4, 0, 4, 4, 0], [0, 4, 0, 0, 4, 4, 0, 4, 0, 0], [4, 0, 0, 4, 0, 4, 0, 4, 0, 4], [4, 4, 4, 4, 4, 0, 4, 4, 4, 4]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            4,
+                            0,
+                            0,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            4,
+                            4,
+                            4,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            4,
+                            4,
+                            0,
+                            0,
+                            4,
+                            4
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            4,
+                            0,
+                            4,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            4,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            4,
+                            0,
+                            0,
+                            0,
+                            4,
+                            4,
+                            0,
+                            4
+                        ],
+                        [
+                            4,
+                            0,
+                            4,
+                            0,
+                            0,
+                            4,
+                            0,
+                            4,
+                            4,
+                            0
+                        ],
+                        [
+                            0,
+                            4,
+                            0,
+                            0,
+                            4,
+                            4,
+                            0,
+                            4,
+                            0,
+                            0
+                        ],
+                        [
+                            4,
+                            0,
+                            0,
+                            4,
+                            0,
+                            4,
+                            0,
+                            4,
+                            0,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            0,
+                            4,
+                            4,
+                            4,
+                            4
+                        ]
+                    ],
+                    "output": [
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            6,
+                            6,
+                            0,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            0,
+                            0,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6
+                        ]
+                    ]
+                }
+            },
+            "Replicate 4": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[2, 2, 2, 0, 0, 0, 0, 2, 2, 2], [0, 2, 2, 2, 2, 2, 0, 0, 2, 0], [0, 2, 0, 0, 2, 2, 0, 0, 2, 2], [2, 2, 0, 2, 2, 0, 0, 0, 2, 0], [2, 2, 0, 2, 2, 0, 2, 2, 2, 0], [2, 0, 0, 2, 2, 0, 0, 2, 2, 2], [0, 0, 0, 2, 0, 2, 0, 0, 2, 2], [2, 2, 0, 0, 0, 2, 0, 2, 0, 2], [2, 0, 2, 0, 0, 2, 2, 2, 0, 2], [0, 0, 0, 2, 2, 0, 2, 2, 2, 2], [0, 0, 4, 0, 0, 0, 0, 0, 4, 0], [0, 4, 0, 0, 4, 4, 0, 4, 4, 0], [4, 0, 4, 4, 4, 4, 0, 0, 0, 0], [4, 0, 0, 4, 0, 0, 4, 4, 0, 4], [0, 0, 4, 0, 0, 4, 4, 4, 4, 4], [0, 4, 0, 4, 0, 4, 0, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 0, 4], [4, 4, 0, 4, 0, 4, 0, 4, 0, 0], [4, 4, 0, 4, 0, 4, 0, 4, 0, 4], [0, 0, 4, 0, 0, 4, 0, 0, 0, 4]] -> [[6, 6, 6, 0, 0, 0, 0, 6, 6, 6], [0, 6, 0, 0, 6, 6, 0, 0, 6, 0], [6, 6, 6, 6, 6, 6, 0, 0, 6, 6], [6, 0, 0, 6, 0, 0, 0, 0, 0, 0], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [0, 0, 0, 6, 0, 0, 0, 6, 0, 0], [0, 0, 0, 6, 0, 6, 0, 6, 6, 6], [6, 6, 0, 0, 0, 6, 0, 6, 0, 0], [6, 6, 6, 6, 0, 6, 6, 6, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 6]]\nExample input-output arrays:\n[[0, 2, 2, 2, 0, 2, 0, 2, 0, 0], [2, 2, 2, 0, 0, 0, 2, 0, 2, 0], [2, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 0, 2, 0, 2, 0, 0], [0, 2, 0, 0, 2, 0, 2, 2, 2, 2], [0, 2, 2, 2, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 2, 2, 0, 2, 2, 0, 0, 2], [2, 0, 0, 2, 2, 2, 0, 0, 0, 0], [2, 0, 0, 0, 2, 0, 2, 0, 2, 2], [4, 0, 4, 0, 4, 4, 0, 4, 4, 0], [0, 0, 0, 0, 4, 4, 0, 0, 0, 0], [4, 0, 0, 4, 4, 4, 0, 0, 4, 4], [0, 4, 4, 4, 0, 4, 0, 4, 0, 0], [0, 4, 4, 4, 4, 0, 0, 0, 4, 0], [0, 4, 4, 4, 0, 0, 4, 0, 4, 4], [0, 4, 4, 4, 0, 4, 0, 4, 4, 4], [4, 0, 0, 4, 4, 0, 4, 4, 4, 4], [0, 0, 0, 0, 0, 4, 4, 0, 0, 4], [4, 0, 4, 4, 0, 0, 4, 4, 4, 4]] -> [[6, 6, 6, 6, 6, 6, 0, 6, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 6, 6, 6, 6, 0, 0, 6, 6], [0, 0, 6, 0, 0, 6, 0, 6, 0, 0], [0, 6, 6, 6, 6, 0, 6, 6, 6, 6], [0, 6, 6, 6, 0, 0, 0, 0, 0, 0], [0, 6, 6, 6, 0, 6, 0, 6, 6, 6], [0, 0, 0, 6, 0, 0, 6, 0, 0, 6], [6, 0, 0, 6, 6, 6, 6, 0, 0, 6], [6, 0, 0, 0, 0, 0, 6, 0, 6, 6]]\nExample input-output arrays:\n[[0, 0, 2, 0, 0, 2, 2, 0, 0, 2], [0, 2, 2, 2, 2, 0, 0, 0, 2, 2], [2, 2, 2, 0, 2, 2, 2, 2, 2, 2], [0, 2, 0, 2, 2, 0, 2, 0, 0, 2], [0, 2, 0, 2, 2, 0, 0, 2, 2, 2], [2, 0, 0, 0, 0, 0, 2, 0, 2, 2], [0, 0, 2, 0, 0, 0, 0, 0, 0, 2], [0, 0, 2, 0, 0, 0, 2, 0, 2, 0], [2, 2, 0, 2, 0, 2, 0, 0, 2, 2], [0, 2, 0, 2, 0, 2, 0, 2, 2, 2], [4, 4, 4, 4, 4, 0, 4, 0, 4, 0], [0, 0, 0, 0, 0, 4, 0, 0, 0, 0], [4, 0, 4, 0, 0, 4, 4, 0, 4, 0], [4, 0, 0, 4, 0, 0, 4, 0, 0, 4], [4, 4, 0, 4, 0, 0, 4, 0, 4, 0], [0, 0, 0, 0, 4, 0, 4, 4, 0, 0], [0, 0, 0, 0, 4, 0, 0, 4, 4, 0], [0, 0, 0, 0, 0, 0, 4, 0, 4, 4], [4, 4, 0, 4, 0, 0, 4, 4, 0, 0], [0, 0, 0, 0, 4, 0, 4, 4, 4, 4]] -> [[6, 6, 6, 6, 6, 6, 6, 0, 6, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 6, 6, 0, 6, 6, 6, 6, 6, 6], [0, 0, 0, 6, 0, 0, 6, 0, 0, 6], [6, 6, 0, 6, 6, 0, 6, 6, 6, 6], [0, 0, 0, 0, 0, 0, 6, 0, 0, 0], [0, 0, 6, 0, 6, 0, 0, 6, 6, 6], [0, 0, 0, 0, 0, 0, 6, 0, 6, 0], [6, 6, 0, 6, 0, 6, 6, 6, 6, 6], [0, 0, 0, 0, 0, 0, 0, 6, 6, 6]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 2, 0, 2, 2, 0, 2, 0, 0], [2, 2, 2, 2, 0, 0, 0, 0, 2, 0], [0, 2, 0, 0, 2, 2, 2, 2, 0, 0], [2, 0, 0, 0, 2, 2, 0, 0, 2, 0], [2, 2, 0, 2, 0, 2, 2, 0, 0, 2], [0, 0, 2, 2, 2, 2, 0, 0, 2, 0], [0, 2, 2, 2, 2, 0, 0, 2, 2, 0], [0, 2, 0, 2, 2, 0, 2, 0, 0, 2], [2, 0, 0, 0, 2, 0, 0, 2, 2, 0], [2, 0, 2, 0, 2, 2, 2, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            0,
+                            0,
+                            2,
+                            0,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0
+                        ],
+                        [
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0
+                        ],
+                        [
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0
+                        ],
+                        [
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2
+                        ],
+                        [
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0
+                        ],
+                        [
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0
+                        ],
+                        [
+                            0,
+                            2,
+                            0,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            2
+                        ],
+                        [
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0
+                        ],
+                        [
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ]
+                    ],
+                    "output": [
+                        [
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            6,
+                            0,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6,
+                            6,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            6,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            6,
+                            6,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ]
+                    ]
+                }
+            }
+        },
+        "L3": {
+            "Replicate 0": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 2, 2, 2, 0, 2, 0, 2, 0, 0], [2, 2, 2, 0, 0, 0, 2, 0, 2, 0], [2, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 0, 2, 0, 2, 0, 0], [0, 2, 0, 0, 2, 0, 2, 2, 2, 2], [0, 2, 2, 2, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 2, 2, 0, 2, 2, 0, 0, 2], [2, 0, 0, 2, 2, 2, 0, 0, 0, 0], [2, 0, 0, 0, 2, 0, 2, 0, 2, 2], [4, 0, 4, 0, 4, 4, 0, 4, 4, 0], [0, 0, 0, 0, 4, 4, 0, 0, 0, 0], [4, 0, 0, 4, 4, 4, 0, 0, 4, 4], [0, 4, 4, 4, 0, 4, 0, 4, 0, 0], [0, 4, 4, 4, 4, 0, 0, 0, 4, 0], [0, 4, 4, 4, 0, 0, 4, 0, 4, 4], [0, 4, 4, 4, 0, 4, 0, 4, 4, 4], [4, 0, 0, 4, 4, 0, 4, 4, 4, 4], [0, 0, 0, 0, 0, 4, 4, 0, 0, 4], [4, 0, 4, 4, 0, 0, 4, 4, 4, 4]] -> [[6, 6, 6, 6, 6, 6, 0, 6, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 6, 6, 6, 6, 0, 0, 6, 6], [0, 0, 6, 0, 0, 6, 0, 6, 0, 0], [0, 6, 6, 6, 6, 0, 6, 6, 6, 6], [0, 6, 6, 6, 0, 0, 0, 0, 0, 0], [0, 6, 6, 6, 0, 6, 0, 6, 6, 6], [0, 0, 0, 6, 0, 0, 6, 0, 0, 6], [6, 0, 0, 6, 6, 6, 6, 0, 0, 6], [6, 0, 0, 0, 0, 0, 6, 0, 6, 6]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 5, 5, 5, 0, 5, 0, 5, 0, 0], [5, 5, 5, 0, 0, 0, 5, 0, 5, 0], [5, 0, 5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 0, 0, 5, 0, 5, 0, 0], [0, 5, 0, 0, 5, 0, 5, 5, 5, 5], [0, 5, 5, 5, 0, 5, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 5, 0], [0, 0, 5, 5, 0, 5, 5, 0, 0, 5], [5, 0, 0, 5, 5, 5, 0, 0, 0, 0], [5, 0, 0, 0, 5, 0, 5, 0, 5, 5], [4, 0, 4, 0, 4, 4, 0, 4, 4, 0], [0, 0, 0, 0, 4, 4, 0, 0, 0, 0], [4, 0, 0, 4, 4, 4, 0, 0, 4, 4], [0, 4, 4, 4, 0, 4, 0, 4, 0, 0], [0, 4, 4, 4, 4, 0, 0, 0, 4, 0], [0, 4, 4, 4, 0, 0, 4, 0, 4, 4], [0, 4, 4, 4, 0, 4, 0, 4, 4, 4], [4, 0, 0, 4, 4, 0, 4, 4, 4, 4], [0, 0, 0, 0, 0, 4, 4, 0, 0, 4], [4, 0, 4, 4, 0, 0, 4, 4, 4, 4]] -> [[6, 6, 6, 6, 6, 6, 0, 6, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 6, 6, 6, 6, 0, 0, 6, 6], [0, 0, 6, 0, 0, 6, 0, 6, 0, 0], [0, 6, 6, 6, 6, 0, 6, 6, 6, 6], [0, 6, 6, 6, 0, 0, 0, 0, 0, 0], [0, 6, 6, 6, 0, 6, 0, 6, 6, 6], [0, 0, 0, 6, 0, 0, 6, 0, 0, 6], [6, 0, 0, 6, 6, 6, 6, 0, 0, 6], [6, 0, 0, 0, 0, 0, 6, 0, 6, 6]]\nExample input-output arrays:\n[[0, 2, 2, 0, 2, 2, 0, 2, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 2, 2], [2, 0, 0, 2, 2, 2, 2, 0, 0, 0], [0, 0, 2, 0, 2, 2, 2, 0, 0, 2], [0, 2, 0, 2, 2, 0, 2, 0, 0, 0], [0, 2, 0, 0, 2, 0, 2, 2, 2, 2], [0, 2, 2, 0, 2, 2, 2, 0, 2, 0], [0, 2, 0, 2, 2, 2, 2, 0, 0, 2], [2, 0, 0, 2, 2, 2, 0, 2, 2, 0], [0, 0, 2, 0, 2, 2, 0, 2, 0, 0], [0, 0, 4, 4, 0, 4, 0, 0, 0, 0], [4, 0, 4, 0, 4, 4, 4, 0, 0, 0], [4, 4, 4, 0, 0, 4, 4, 0, 4, 0], [4, 0, 4, 0, 0, 4, 4, 0, 0, 4], [4, 0, 4, 0, 0, 4, 4, 0, 0, 0], [4, 4, 4, 0, 4, 0, 4, 0, 4, 0], [0, 0, 4, 4, 0, 0, 0, 4, 4, 4], [0, 0, 4, 0, 0, 4, 0, 4, 4, 0], [4, 0, 0, 4, 4, 4, 0, 4, 4, 4], [0, 4, 4, 0, 4, 4, 0, 0, 4, 4]] -> [[0, 6, 6, 6, 6, 6, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 6, 6, 6, 6, 6, 6, 0, 6, 0], [0, 0, 6, 0, 0, 6, 6, 0, 0, 6], [6, 6, 6, 6, 6, 6, 6, 0, 0, 0], [0, 6, 0, 0, 6, 0, 6, 0, 6, 0], [0, 6, 6, 6, 6, 6, 6, 6, 6, 6], [0, 0, 0, 0, 0, 6, 0, 0, 0, 0], [6, 0, 0, 6, 6, 6, 0, 6, 6, 6], [0, 0, 6, 0, 6, 6, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing the causal function for some elements.\n[[2, 0, 0, 2, 0, 0, 2, 0, 2, 2], [2, 2, 2, 0, 2, 2, 2, 2, 0, 0], [0, 2, 2, 0, 0, 0, 0, 2, 2, 2], [2, 2, 0, 2, 0, 0, 0, 2, 2, 0], [2, 0, 2, 0, 0, 2, 0, 2, 2, 2], [2, 0, 2, 2, 0, 2, 0, 0, 0, 0], [2, 0, 0, 2, 0, 0, 0, 2, 0, 2], [2, 0, 2, 0, 0, 0, 0, 2, 2, 0], [0, 2, 2, 0, 0, 0, 2, 0, 0, 2], [2, 2, 0, 2, 0, 0, 2, 0, 2, 2], [4, 0, 0, 0, 0, 4, 0, 0, 4, 0], [4, 0, 0, 0, 0, 4, 4, 0, 0, 0], [4, 0, 0, 0, 0, 4, 4, 4, 0, 4], [0, 0, 4, 4, 4, 4, 4, 4, 0, 4], [0, 0, 0, 4, 0, 4, 0, 0, 4, 0], [4, 4, 4, 4, 4, 0, 0, 4, 4, 0], [0, 0, 4, 0, 4, 0, 0, 4, 0, 0], [0, 4, 4, 4, 4, 0, 0, 4, 4, 0], [4, 4, 4, 0, 4, 0, 0, 0, 0, 0], [4, 4, 0, 0, 4, 0, 0, 0, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0
+                        ],
+                        [
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            0,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            2
+                        ],
+                        [
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0
+                        ],
+                        [
+                            0,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            2,
+                            2
+                        ],
+                        [
+                            4,
+                            0,
+                            0,
+                            0,
+                            0,
+                            4,
+                            0,
+                            0,
+                            4,
+                            0
+                        ],
+                        [
+                            4,
+                            0,
+                            0,
+                            0,
+                            0,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            4,
+                            0,
+                            0,
+                            0,
+                            0,
+                            4,
+                            4,
+                            4,
+                            0,
+                            4
+                        ],
+                        [
+                            0,
+                            0,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            0,
+                            4
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            4,
+                            0,
+                            4,
+                            0,
+                            0,
+                            4,
+                            0
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            4,
+                            4,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            4,
+                            0,
+                            4,
+                            0,
+                            0,
+                            4,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            4,
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            4,
+                            4,
+                            0
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            0,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            4,
+                            4,
+                            0,
+                            0,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ]
+                    ],
+                    "output": [
+                        [
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            6,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0
+                        ],
+                        [
+                            6,
+                            0,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            0,
+                            6,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6
+                        ],
+                        [
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            6,
+                            0
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ]
+                    ]
+                }
+            },
+            "Replicate 1": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 2, 2, 2, 2, 2, 0, 2, 2, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2], [0, 0, 0, 0, 0, 2, 2, 0, 0, 2], [2, 2, 2, 0, 2, 2, 0, 2, 2, 2], [2, 2, 2, 2, 0, 2, 0, 0, 2, 2], [0, 2, 2, 0, 2, 0, 2, 0, 0, 2], [0, 2, 2, 0, 0, 0, 2, 2, 2, 2], [2, 0, 0, 2, 0, 0, 0, 0, 0, 2], [0, 2, 2, 0, 0, 2, 2, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 2, 2, 2], [4, 4, 0, 4, 0, 0, 4, 4, 0, 4], [4, 4, 4, 4, 0, 4, 4, 4, 0, 4], [4, 0, 4, 0, 0, 4, 4, 0, 0, 4], [0, 4, 0, 0, 0, 4, 0, 0, 4, 0], [4, 0, 4, 4, 4, 4, 4, 4, 0, 0], [0, 4, 0, 0, 0, 4, 0, 4, 0, 0], [4, 0, 0, 4, 4, 4, 0, 0, 4, 0], [0, 0, 0, 0, 4, 0, 4, 4, 4, 4], [0, 4, 0, 0, 0, 4, 4, 4, 0, 4], [0, 0, 0, 0, 0, 0, 4, 4, 0, 0]] -> [[6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 6], [6, 0, 6, 0, 0, 6, 6, 0, 0, 6], [0, 6, 0, 0, 0, 6, 0, 0, 6, 0], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [0, 6, 0, 0, 0, 0, 0, 0, 0, 0], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 6], [0, 6, 6, 0, 0, 6, 6, 6, 0, 6], [0, 0, 0, 0, 0, 0, 0, 6, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 8, 8, 8, 8, 8, 0, 8, 8, 8], [0, 0, 0, 0, 0, 0, 0, 0, 0, 8], [0, 0, 0, 0, 0, 8, 8, 0, 0, 8], [8, 8, 8, 0, 8, 8, 0, 8, 8, 8], [8, 8, 8, 8, 0, 8, 0, 0, 8, 8], [0, 8, 8, 0, 8, 0, 8, 0, 0, 8], [0, 8, 8, 0, 0, 0, 8, 8, 8, 8], [8, 0, 0, 8, 0, 0, 0, 0, 0, 8], [0, 8, 8, 0, 0, 8, 8, 0, 0, 0], [8, 0, 8, 0, 0, 8, 0, 8, 8, 8], [4, 4, 0, 4, 0, 0, 4, 4, 0, 4], [4, 4, 4, 4, 0, 4, 4, 4, 0, 4], [4, 0, 4, 0, 0, 4, 4, 0, 0, 4], [0, 4, 0, 0, 0, 4, 0, 0, 4, 0], [4, 0, 4, 4, 4, 4, 4, 4, 0, 0], [0, 4, 0, 0, 0, 4, 0, 4, 0, 0], [4, 0, 0, 4, 4, 4, 0, 0, 4, 0], [0, 0, 0, 0, 4, 0, 4, 4, 4, 4], [0, 4, 0, 0, 0, 4, 4, 4, 0, 4], [0, 0, 0, 0, 0, 0, 4, 4, 0, 0]] -> [[6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 6], [6, 0, 6, 0, 0, 6, 6, 0, 0, 6], [0, 6, 0, 0, 0, 6, 0, 0, 6, 0], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [0, 6, 0, 0, 0, 0, 0, 0, 0, 0], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 6], [0, 6, 6, 0, 0, 6, 6, 6, 0, 6], [0, 0, 0, 0, 0, 0, 0, 6, 0, 0]]\nExample input-output arrays:\n[[0, 2, 2, 0, 2, 2, 0, 2, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 2, 2], [2, 0, 0, 2, 2, 2, 2, 0, 0, 0], [0, 0, 2, 0, 2, 2, 2, 0, 0, 2], [0, 2, 0, 2, 2, 0, 2, 0, 0, 0], [0, 2, 0, 0, 2, 0, 2, 2, 2, 2], [0, 2, 2, 0, 2, 2, 2, 0, 2, 0], [0, 2, 0, 2, 2, 2, 2, 0, 0, 2], [2, 0, 0, 2, 2, 2, 0, 2, 2, 0], [0, 0, 2, 0, 2, 2, 0, 2, 0, 0], [0, 0, 4, 4, 0, 4, 0, 0, 0, 0], [4, 0, 4, 0, 4, 4, 4, 0, 0, 0], [4, 4, 4, 0, 0, 4, 4, 0, 4, 0], [4, 0, 4, 0, 0, 4, 4, 0, 0, 4], [4, 0, 4, 0, 0, 4, 4, 0, 0, 0], [4, 4, 4, 0, 4, 0, 4, 0, 4, 0], [0, 0, 4, 4, 0, 0, 0, 4, 4, 4], [0, 0, 4, 0, 0, 4, 0, 4, 4, 0], [4, 0, 0, 4, 4, 4, 0, 4, 4, 4], [0, 4, 4, 0, 4, 4, 0, 0, 4, 4]] -> [[0, 6, 6, 6, 6, 6, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 6, 6, 6, 6, 6, 6, 0, 6, 0], [0, 0, 6, 0, 0, 6, 6, 0, 0, 6], [6, 6, 6, 6, 6, 6, 6, 0, 0, 0], [0, 6, 0, 0, 6, 0, 6, 0, 6, 0], [0, 6, 6, 6, 6, 6, 6, 6, 6, 6], [0, 0, 0, 0, 0, 6, 0, 0, 0, 0], [6, 0, 0, 6, 6, 6, 0, 6, 6, 6], [0, 0, 6, 0, 6, 6, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 5, 5, 0, 5, 5, 0, 5, 0, 0], [0, 0, 0, 5, 0, 0, 0, 0, 5, 5], [5, 0, 0, 5, 5, 5, 5, 0, 0, 0], [0, 0, 5, 0, 5, 5, 5, 0, 0, 5], [0, 5, 0, 5, 5, 0, 5, 0, 0, 0], [0, 5, 0, 0, 5, 0, 5, 5, 5, 5], [0, 5, 5, 0, 5, 5, 5, 0, 5, 0], [0, 5, 0, 5, 5, 5, 5, 0, 0, 5], [5, 0, 0, 5, 5, 5, 0, 5, 5, 0], [0, 0, 5, 0, 5, 5, 0, 5, 0, 0], [0, 0, 4, 4, 0, 4, 0, 0, 0, 0], [4, 0, 4, 0, 4, 4, 4, 0, 0, 0], [4, 4, 4, 0, 0, 4, 4, 0, 4, 0], [4, 0, 4, 0, 0, 4, 4, 0, 0, 4], [4, 0, 4, 0, 0, 4, 4, 0, 0, 0], [4, 4, 4, 0, 4, 0, 4, 0, 4, 0], [0, 0, 4, 4, 0, 0, 0, 4, 4, 4], [0, 0, 4, 0, 0, 4, 0, 4, 4, 0], [4, 0, 0, 4, 4, 4, 0, 4, 4, 4], [0, 4, 4, 0, 4, 4, 0, 0, 4, 4]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            0,
+                            5,
+                            5,
+                            0,
+                            5,
+                            5,
+                            0,
+                            5,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            5,
+                            0,
+                            0,
+                            0,
+                            0,
+                            5,
+                            5
+                        ],
+                        [
+                            5,
+                            0,
+                            0,
+                            5,
+                            5,
+                            5,
+                            5,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            5,
+                            0,
+                            5,
+                            5,
+                            5,
+                            0,
+                            0,
+                            5
+                        ],
+                        [
+                            0,
+                            5,
+                            0,
+                            5,
+                            5,
+                            0,
+                            5,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            5,
+                            0,
+                            0,
+                            5,
+                            0,
+                            5,
+                            5,
+                            5,
+                            5
+                        ],
+                        [
+                            0,
+                            5,
+                            5,
+                            0,
+                            5,
+                            5,
+                            5,
+                            0,
+                            5,
+                            0
+                        ],
+                        [
+                            0,
+                            5,
+                            0,
+                            5,
+                            5,
+                            5,
+                            5,
+                            0,
+                            0,
+                            5
+                        ],
+                        [
+                            5,
+                            0,
+                            0,
+                            5,
+                            5,
+                            5,
+                            0,
+                            5,
+                            5,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            5,
+                            0,
+                            5,
+                            5,
+                            0,
+                            5,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            4,
+                            4,
+                            0,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            4,
+                            0,
+                            4,
+                            0,
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            4,
+                            4,
+                            0,
+                            4,
+                            0
+                        ],
+                        [
+                            4,
+                            0,
+                            4,
+                            0,
+                            0,
+                            4,
+                            4,
+                            0,
+                            0,
+                            4
+                        ],
+                        [
+                            4,
+                            0,
+                            4,
+                            0,
+                            0,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            0,
+                            4,
+                            0,
+                            4,
+                            0,
+                            4,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            0,
+                            0,
+                            4,
+                            0,
+                            0,
+                            4,
+                            0,
+                            4,
+                            4,
+                            0
+                        ],
+                        [
+                            4,
+                            0,
+                            0,
+                            4,
+                            4,
+                            4,
+                            0,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            0,
+                            4,
+                            4,
+                            0,
+                            4,
+                            4,
+                            0,
+                            0,
+                            4,
+                            4
+                        ]
+                    ],
+                    "output": [
+                        [
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0
+                        ],
+                        [
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            6,
+                            0,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0
+                        ]
+                    ]
+                }
+            },
+            "Replicate 2": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 2, 0, 0, 2, 2, 0, 0, 2], [0, 2, 2, 2, 2, 0, 0, 0, 2, 2], [2, 2, 2, 0, 2, 2, 2, 2, 2, 2], [0, 2, 0, 2, 2, 0, 2, 0, 0, 2], [0, 2, 0, 2, 2, 0, 0, 2, 2, 2], [2, 0, 0, 0, 0, 0, 2, 0, 2, 2], [0, 0, 2, 0, 0, 0, 0, 0, 0, 2], [0, 0, 2, 0, 0, 0, 2, 0, 2, 0], [2, 2, 0, 2, 0, 2, 0, 0, 2, 2], [0, 2, 0, 2, 0, 2, 0, 2, 2, 2], [4, 4, 4, 4, 4, 0, 4, 0, 4, 0], [0, 0, 0, 0, 0, 4, 0, 0, 0, 0], [4, 0, 4, 0, 0, 4, 4, 0, 4, 0], [4, 0, 0, 4, 0, 0, 4, 0, 0, 4], [4, 4, 0, 4, 0, 0, 4, 0, 4, 0], [0, 0, 0, 0, 4, 0, 4, 4, 0, 0], [0, 0, 0, 0, 4, 0, 0, 4, 4, 0], [0, 0, 0, 0, 0, 0, 4, 0, 4, 4], [4, 4, 0, 4, 0, 0, 4, 4, 0, 0], [0, 0, 0, 0, 4, 0, 4, 4, 4, 4]] -> [[6, 6, 6, 6, 6, 6, 6, 0, 6, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 6, 6, 0, 6, 6, 6, 6, 6, 6], [0, 0, 0, 6, 0, 0, 6, 0, 0, 6], [6, 6, 0, 6, 6, 0, 6, 6, 6, 6], [0, 0, 0, 0, 0, 0, 6, 0, 0, 0], [0, 0, 6, 0, 6, 0, 0, 6, 6, 6], [0, 0, 0, 0, 0, 0, 6, 0, 6, 0], [6, 6, 0, 6, 0, 6, 6, 6, 6, 6], [0, 0, 0, 0, 0, 0, 0, 6, 6, 6]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 0, 8, 0, 0, 8, 8, 0, 0, 8], [0, 8, 8, 8, 8, 0, 0, 0, 8, 8], [8, 8, 8, 0, 8, 8, 8, 8, 8, 8], [0, 8, 0, 8, 8, 0, 8, 0, 0, 8], [0, 8, 0, 8, 8, 0, 0, 8, 8, 8], [8, 0, 0, 0, 0, 0, 8, 0, 8, 8], [0, 0, 8, 0, 0, 0, 0, 0, 0, 8], [0, 0, 8, 0, 0, 0, 8, 0, 8, 0], [8, 8, 0, 8, 0, 8, 0, 0, 8, 8], [0, 8, 0, 8, 0, 8, 0, 8, 8, 8], [4, 4, 4, 4, 4, 0, 4, 0, 4, 0], [0, 0, 0, 0, 0, 4, 0, 0, 0, 0], [4, 0, 4, 0, 0, 4, 4, 0, 4, 0], [4, 0, 0, 4, 0, 0, 4, 0, 0, 4], [4, 4, 0, 4, 0, 0, 4, 0, 4, 0], [0, 0, 0, 0, 4, 0, 4, 4, 0, 0], [0, 0, 0, 0, 4, 0, 0, 4, 4, 0], [0, 0, 0, 0, 0, 0, 4, 0, 4, 4], [4, 4, 0, 4, 0, 0, 4, 4, 0, 0], [0, 0, 0, 0, 4, 0, 4, 4, 4, 4]] -> [[6, 6, 6, 6, 6, 6, 6, 0, 6, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 6, 6, 0, 6, 6, 6, 6, 6, 6], [0, 0, 0, 6, 0, 0, 6, 0, 0, 6], [6, 6, 0, 6, 6, 0, 6, 6, 6, 6], [0, 0, 0, 0, 0, 0, 6, 0, 0, 0], [0, 0, 6, 0, 6, 0, 0, 6, 6, 6], [0, 0, 0, 0, 0, 0, 6, 0, 6, 0], [6, 6, 0, 6, 0, 6, 6, 6, 6, 6], [0, 0, 0, 0, 0, 0, 0, 6, 6, 6]]\nExample input-output arrays:\n[[2, 2, 2, 0, 0, 0, 0, 2, 2, 2], [0, 2, 2, 2, 2, 2, 0, 0, 2, 0], [0, 2, 0, 0, 2, 2, 0, 0, 2, 2], [2, 2, 0, 2, 2, 0, 0, 0, 2, 0], [2, 2, 0, 2, 2, 0, 2, 2, 2, 0], [2, 0, 0, 2, 2, 0, 0, 2, 2, 2], [0, 0, 0, 2, 0, 2, 0, 0, 2, 2], [2, 2, 0, 0, 0, 2, 0, 2, 0, 2], [2, 0, 2, 0, 0, 2, 2, 2, 0, 2], [0, 0, 0, 2, 2, 0, 2, 2, 2, 2], [0, 0, 4, 0, 0, 0, 0, 0, 4, 0], [0, 4, 0, 0, 4, 4, 0, 4, 4, 0], [4, 0, 4, 4, 4, 4, 0, 0, 0, 0], [4, 0, 0, 4, 0, 0, 4, 4, 0, 4], [0, 0, 4, 0, 0, 4, 4, 4, 4, 4], [0, 4, 0, 4, 0, 4, 0, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 0, 4], [4, 4, 0, 4, 0, 4, 0, 4, 0, 0], [4, 4, 0, 4, 0, 4, 0, 4, 0, 4], [0, 0, 4, 0, 0, 4, 0, 0, 0, 4]] -> [[6, 6, 6, 0, 0, 0, 0, 6, 6, 6], [0, 6, 0, 0, 6, 6, 0, 0, 6, 0], [6, 6, 6, 6, 6, 6, 0, 0, 6, 6], [6, 0, 0, 6, 0, 0, 0, 0, 0, 0], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [0, 0, 0, 6, 0, 0, 0, 6, 0, 0], [0, 0, 0, 6, 0, 6, 0, 6, 6, 6], [6, 6, 0, 0, 0, 6, 0, 6, 0, 0], [6, 6, 6, 6, 0, 6, 6, 6, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 6]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 2, 0, 2, 2, 2, 2, 0, 2, 2], [0, 2, 2, 2, 2, 2, 0, 2, 0, 0], [2, 0, 2, 0, 2, 2, 0, 0, 0, 2], [0, 0, 0, 0, 2, 2, 0, 0, 0, 0], [0, 2, 0, 0, 2, 0, 2, 0, 0, 0], [0, 0, 2, 2, 2, 0, 0, 2, 0, 2], [2, 2, 2, 2, 2, 2, 2, 0, 2, 2], [0, 0, 2, 2, 0, 2, 0, 0, 0, 0], [2, 2, 2, 2, 0, 0, 2, 0, 2, 0], [0, 2, 0, 0, 0, 0, 2, 2, 2, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            0,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2
+                        ],
+                        [
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0
+                        ],
+                        [
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2
+                        ],
+                        [
+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0
+                        ],
+                        [
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ]
+                    ],
+                    "output": [
+                        [
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0,
+                            0,
+                            0,
+                            6
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ]
+                    ]
+                }
+            },
+            "Replicate 3": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 2, 2, 2, 2, 2, 0, 2, 2, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2], [0, 0, 0, 0, 0, 2, 2, 0, 0, 2], [2, 2, 2, 0, 2, 2, 0, 2, 2, 2], [2, 2, 2, 2, 0, 2, 0, 0, 2, 2], [0, 2, 2, 0, 2, 0, 2, 0, 0, 2], [0, 2, 2, 0, 0, 0, 2, 2, 2, 2], [2, 0, 0, 2, 0, 0, 0, 0, 0, 2], [0, 2, 2, 0, 0, 2, 2, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 2, 2, 2], [4, 4, 0, 4, 0, 0, 4, 4, 0, 4], [4, 4, 4, 4, 0, 4, 4, 4, 0, 4], [4, 0, 4, 0, 0, 4, 4, 0, 0, 4], [0, 4, 0, 0, 0, 4, 0, 0, 4, 0], [4, 0, 4, 4, 4, 4, 4, 4, 0, 0], [0, 4, 0, 0, 0, 4, 0, 4, 0, 0], [4, 0, 0, 4, 4, 4, 0, 0, 4, 0], [0, 0, 0, 0, 4, 0, 4, 4, 4, 4], [0, 4, 0, 0, 0, 4, 4, 4, 0, 4], [0, 0, 0, 0, 0, 0, 4, 4, 0, 0]] -> [[6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 6], [6, 0, 6, 0, 0, 6, 6, 0, 0, 6], [0, 6, 0, 0, 0, 6, 0, 0, 6, 0], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [0, 6, 0, 0, 0, 0, 0, 0, 0, 0], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 6], [0, 6, 6, 0, 0, 6, 6, 6, 0, 6], [0, 0, 0, 0, 0, 0, 0, 6, 0, 0]]\nExample input-output arrays:\n[[0, 2, 2, 2, 2, 2, 0, 2, 2, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2], [0, 0, 0, 0, 0, 2, 2, 0, 0, 2], [2, 2, 2, 0, 2, 2, 0, 2, 2, 2], [2, 2, 2, 2, 0, 2, 0, 0, 2, 2], [0, 2, 2, 0, 2, 0, 2, 0, 0, 2], [0, 2, 2, 0, 0, 0, 2, 2, 2, 2], [2, 0, 0, 2, 0, 0, 0, 0, 0, 2], [0, 2, 2, 0, 0, 2, 2, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 2, 2, 2], [4, 4, 0, 4, 0, 0, 4, 4, 0, 4], [4, 4, 4, 4, 0, 4, 4, 4, 0, 4], [4, 0, 4, 0, 0, 4, 4, 0, 0, 4], [0, 4, 0, 0, 0, 4, 0, 0, 4, 0], [4, 0, 4, 4, 4, 4, 4, 4, 0, 0], [0, 4, 0, 0, 0, 4, 0, 4, 0, 0], [4, 0, 0, 4, 4, 4, 0, 0, 4, 0], [0, 0, 0, 0, 4, 0, 4, 4, 4, 4], [0, 4, 0, 0, 0, 4, 4, 4, 0, 4], [0, 0, 0, 0, 0, 0, 4, 4, 0, 0]] -> [[6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 6], [6, 0, 6, 0, 0, 6, 6, 0, 0, 6], [0, 6, 0, 0, 0, 6, 0, 0, 6, 0], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [0, 6, 0, 0, 0, 0, 0, 0, 0, 0], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 6], [0, 6, 6, 0, 0, 6, 6, 6, 0, 6], [0, 0, 0, 0, 0, 0, 0, 6, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [4, 4, 0, 0, 0, 4, 0, 0, 4, 4], [4, 4, 4, 4, 0, 0, 4, 4, 4, 0], [0, 0, 0, 0, 4, 4, 0, 0, 4, 4], [0, 0, 0, 0, 4, 0, 4, 0, 0, 0], [0, 4, 4, 0, 0, 0, 0, 0, 4, 0], [0, 0, 4, 0, 0, 0, 4, 4, 0, 4], [4, 0, 4, 0, 0, 4, 0, 4, 4, 0], [0, 4, 0, 0, 4, 4, 0, 4, 0, 0], [4, 0, 0, 4, 0, 4, 0, 4, 0, 4], [4, 4, 4, 4, 4, 0, 4, 4, 4, 4]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            4,
+                            0,
+                            0,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            4,
+                            4,
+                            4,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            4,
+                            4,
+                            0,
+                            0,
+                            4,
+                            4
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            4,
+                            0,
+                            4,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            4,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            4,
+                            0,
+                            0,
+                            0,
+                            4,
+                            4,
+                            0,
+                            4
+                        ],
+                        [
+                            4,
+                            0,
+                            4,
+                            0,
+                            0,
+                            4,
+                            0,
+                            4,
+                            4,
+                            0
+                        ],
+                        [
+                            0,
+                            4,
+                            0,
+                            0,
+                            4,
+                            4,
+                            0,
+                            4,
+                            0,
+                            0
+                        ],
+                        [
+                            4,
+                            0,
+                            0,
+                            4,
+                            0,
+                            4,
+                            0,
+                            4,
+                            0,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            0,
+                            4,
+                            4,
+                            4,
+                            4
+                        ]
+                    ],
+                    "output": [
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            6,
+                            6,
+                            0,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            0,
+                            0,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6
+                        ]
+                    ]
+                }
+            },
+            "Replicate 4": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[2, 2, 2, 0, 0, 0, 0, 2, 2, 2], [0, 2, 2, 2, 2, 2, 0, 0, 2, 0], [0, 2, 0, 0, 2, 2, 0, 0, 2, 2], [2, 2, 0, 2, 2, 0, 0, 0, 2, 0], [2, 2, 0, 2, 2, 0, 2, 2, 2, 0], [2, 0, 0, 2, 2, 0, 0, 2, 2, 2], [0, 0, 0, 2, 0, 2, 0, 0, 2, 2], [2, 2, 0, 0, 0, 2, 0, 2, 0, 2], [2, 0, 2, 0, 0, 2, 2, 2, 0, 2], [0, 0, 0, 2, 2, 0, 2, 2, 2, 2], [0, 0, 4, 0, 0, 0, 0, 0, 4, 0], [0, 4, 0, 0, 4, 4, 0, 4, 4, 0], [4, 0, 4, 4, 4, 4, 0, 0, 0, 0], [4, 0, 0, 4, 0, 0, 4, 4, 0, 4], [0, 0, 4, 0, 0, 4, 4, 4, 4, 4], [0, 4, 0, 4, 0, 4, 0, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 0, 4], [4, 4, 0, 4, 0, 4, 0, 4, 0, 0], [4, 4, 0, 4, 0, 4, 0, 4, 0, 4], [0, 0, 4, 0, 0, 4, 0, 0, 0, 4]] -> [[6, 6, 6, 0, 0, 0, 0, 6, 6, 6], [0, 6, 0, 0, 6, 6, 0, 0, 6, 0], [6, 6, 6, 6, 6, 6, 0, 0, 6, 6], [6, 0, 0, 6, 0, 0, 0, 0, 0, 0], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [0, 0, 0, 6, 0, 0, 0, 6, 0, 0], [0, 0, 0, 6, 0, 6, 0, 6, 6, 6], [6, 6, 0, 0, 0, 6, 0, 6, 0, 0], [6, 6, 6, 6, 0, 6, 6, 6, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 6]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[9, 9, 9, 0, 0, 0, 0, 9, 9, 9], [0, 9, 9, 9, 9, 9, 0, 0, 9, 0], [0, 9, 0, 0, 9, 9, 0, 0, 9, 9], [9, 9, 0, 9, 9, 0, 0, 0, 9, 0], [9, 9, 0, 9, 9, 0, 9, 9, 9, 0], [9, 0, 0, 9, 9, 0, 0, 9, 9, 9], [0, 0, 0, 9, 0, 9, 0, 0, 9, 9], [9, 9, 0, 0, 0, 9, 0, 9, 0, 9], [9, 0, 9, 0, 0, 9, 9, 9, 0, 9], [0, 0, 0, 9, 9, 0, 9, 9, 9, 9], [0, 0, 4, 0, 0, 0, 0, 0, 4, 0], [0, 4, 0, 0, 4, 4, 0, 4, 4, 0], [4, 0, 4, 4, 4, 4, 0, 0, 0, 0], [4, 0, 0, 4, 0, 0, 4, 4, 0, 4], [0, 0, 4, 0, 0, 4, 4, 4, 4, 4], [0, 4, 0, 4, 0, 4, 0, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 0, 4], [4, 4, 0, 4, 0, 4, 0, 4, 0, 0], [4, 4, 0, 4, 0, 4, 0, 4, 0, 4], [0, 0, 4, 0, 0, 4, 0, 0, 0, 4]] -> [[6, 6, 6, 0, 0, 0, 0, 6, 6, 6], [0, 6, 0, 0, 6, 6, 0, 0, 6, 0], [6, 6, 6, 6, 6, 6, 0, 0, 6, 6], [6, 0, 0, 6, 0, 0, 0, 0, 0, 0], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [0, 0, 0, 6, 0, 0, 0, 6, 0, 0], [0, 0, 0, 6, 0, 6, 0, 6, 6, 6], [6, 6, 0, 0, 0, 6, 0, 6, 0, 0], [6, 6, 6, 6, 0, 6, 6, 6, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 6]]\nExample input-output arrays:\n[[0, 2, 2, 2, 0, 2, 0, 2, 0, 0], [2, 2, 2, 0, 0, 0, 2, 0, 2, 0], [2, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 0, 2, 0, 2, 0, 0], [0, 2, 0, 0, 2, 0, 2, 2, 2, 2], [0, 2, 2, 2, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 2, 2, 0, 2, 2, 0, 0, 2], [2, 0, 0, 2, 2, 2, 0, 0, 0, 0], [2, 0, 0, 0, 2, 0, 2, 0, 2, 2], [4, 0, 4, 0, 4, 4, 0, 4, 4, 0], [0, 0, 0, 0, 4, 4, 0, 0, 0, 0], [4, 0, 0, 4, 4, 4, 0, 0, 4, 4], [0, 4, 4, 4, 0, 4, 0, 4, 0, 0], [0, 4, 4, 4, 4, 0, 0, 0, 4, 0], [0, 4, 4, 4, 0, 0, 4, 0, 4, 4], [0, 4, 4, 4, 0, 4, 0, 4, 4, 4], [4, 0, 0, 4, 4, 0, 4, 4, 4, 4], [0, 0, 0, 0, 0, 4, 4, 0, 0, 4], [4, 0, 4, 4, 0, 0, 4, 4, 4, 4]] -> [[6, 6, 6, 6, 6, 6, 0, 6, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 6, 6, 6, 6, 0, 0, 6, 6], [0, 0, 6, 0, 0, 6, 0, 6, 0, 0], [0, 6, 6, 6, 6, 0, 6, 6, 6, 6], [0, 6, 6, 6, 0, 0, 0, 0, 0, 0], [0, 6, 6, 6, 0, 6, 0, 6, 6, 6], [0, 0, 0, 6, 0, 0, 6, 0, 0, 6], [6, 0, 0, 6, 6, 6, 6, 0, 0, 6], [6, 0, 0, 0, 0, 0, 6, 0, 6, 6]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 5, 5, 5, 0, 5, 0, 5, 0, 0], [5, 5, 5, 0, 0, 0, 5, 0, 5, 0], [5, 0, 5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 0, 0, 5, 0, 5, 0, 0], [0, 5, 0, 0, 5, 0, 5, 5, 5, 5], [0, 5, 5, 5, 0, 5, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 5, 0], [0, 0, 5, 5, 0, 5, 5, 0, 0, 5], [5, 0, 0, 5, 5, 5, 0, 0, 0, 0], [5, 0, 0, 0, 5, 0, 5, 0, 5, 5], [4, 0, 4, 0, 4, 4, 0, 4, 4, 0], [0, 0, 0, 0, 4, 4, 0, 0, 0, 0], [4, 0, 0, 4, 4, 4, 0, 0, 4, 4], [0, 4, 4, 4, 0, 4, 0, 4, 0, 0], [0, 4, 4, 4, 4, 0, 0, 0, 4, 0], [0, 4, 4, 4, 0, 0, 4, 0, 4, 4], [0, 4, 4, 4, 0, 4, 0, 4, 4, 4], [4, 0, 0, 4, 4, 0, 4, 4, 4, 4], [0, 0, 0, 0, 0, 4, 4, 0, 0, 4], [4, 0, 4, 4, 0, 0, 4, 4, 4, 4]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            0,
+                            5,
+                            5,
+                            5,
+                            0,
+                            5,
+                            0,
+                            5,
+                            0,
+                            0
+                        ],
+                        [
+                            5,
+                            5,
+                            5,
+                            0,
+                            0,
+                            0,
+                            5,
+                            0,
+                            5,
+                            0
+                        ],
+                        [
+                            5,
+                            0,
+                            5,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            5,
+                            0,
+                            0,
+                            5,
+                            0,
+                            5,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            5,
+                            0,
+                            0,
+                            5,
+                            0,
+                            5,
+                            5,
+                            5,
+                            5
+                        ],
+                        [
+                            0,
+                            5,
+                            5,
+                            5,
+                            0,
+                            5,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            5,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            5,
+                            5,
+                            0,
+                            5,
+                            5,
+                            0,
+                            0,
+                            5
+                        ],
+                        [
+                            5,
+                            0,
+                            0,
+                            5,
+                            5,
+                            5,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            5,
+                            0,
+                            0,
+                            0,
+                            5,
+                            0,
+                            5,
+                            0,
+                            5,
+                            5
+                        ],
+                        [
+                            4,
+                            0,
+                            4,
+                            0,
+                            4,
+                            4,
+                            0,
+                            4,
+                            4,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            4,
+                            0,
+                            0,
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            4,
+                            4
+                        ],
+                        [
+                            0,
+                            4,
+                            4,
+                            4,
+                            0,
+                            4,
+                            0,
+                            4,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            4,
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            4,
+                            0
+                        ],
+                        [
+                            0,
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            4,
+                            0,
+                            4,
+                            4
+                        ],
+                        [
+                            0,
+                            4,
+                            4,
+                            4,
+                            0,
+                            4,
+                            0,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            0,
+                            0,
+                            4,
+                            4,
+                            0,
+                            4,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            4,
+                            4,
+                            0,
+                            0,
+                            4
+                        ],
+                        [
+                            4,
+                            0,
+                            4,
+                            4,
+                            0,
+                            0,
+                            4,
+                            4,
+                            4,
+                            4
+                        ]
+                    ],
+                    "output": [
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6,
+                            6
+                        ],
+                        [
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            6
+                        ],
+                        [
+                            6,
+                            0,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6
+                        ],
+                        [
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6
+                        ]
+                    ]
+                }
+            }
+        }
+    },
+    "SCMu3am!or!and!axis0!15x15": {
+        "L1": {
+            "Replicate 0": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0], [1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0], [0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0], [1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0], [0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1], [1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0], [0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0], [0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1], [0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0], [1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1], [0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1], [0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0], [1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1], [1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0], [2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2], [2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0], [0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0], [2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2], [2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0], [0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2], [0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0], [0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2], [0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0], [2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0], [0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2], [0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2], [0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0], [2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2], [0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0]] -> [[3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3], [3, 3, 3, 3, 0, 0, 0, 3, 3, 0, 3, 0, 0, 0, 0], [0, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0], [3, 3, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0], [3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 0, 3, 3, 3], [0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0], [0, 3, 3, 3, 3, 0, 3, 3, 3, 3, 0, 3, 3, 3, 0], [0, 3, 0, 0, 0, 0, 3, 3, 0, 3, 0, 0, 3, 0, 3], [0, 0, 3, 3, 0, 3, 0, 3, 3, 3, 3, 3, 0, 3, 0], [3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0], [0, 3, 0, 3, 3, 3, 0, 3, 3, 0, 3, 3, 3, 3, 3], [0, 0, 0, 0, 3, 3, 0, 3, 3, 0, 0, 0, 0, 0, 3], [0, 3, 0, 3, 3, 3, 3, 3, 0, 3, 0, 3, 3, 0, 0], [3, 0, 3, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 3], [3, 3, 0, 3, 3, 3, 3, 3, 3, 0, 3, 0, 3, 3, 0]]\nExample input-output arrays:\n[[1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0], [1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1], [1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1], [0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1], [0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0], [0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0], [1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1], [0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0], [0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1], [0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1], [1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0], [0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1], [1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0], [0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1], [0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1], [0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0], [2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0], [2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2], [0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0], [0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2], [0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0], [2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0], [0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2], [2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0], [2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2], [2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0], [2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2], [2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0], [2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2], [0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0]] -> [[3, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 0], [3, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0], [3, 0, 0, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3], [0, 0, 0, 3, 0, 0, 3, 3, 0, 3, 3, 0, 0, 0, 0], [0, 3, 3, 3, 0, 0, 0, 3, 3, 0, 0, 3, 0, 3, 3], [0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3, 0, 0, 3, 3, 3, 3, 3, 0, 0, 3, 3, 3, 3], [0, 0, 0, 0, 3, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0], [3, 3, 3, 3, 3, 3, 0, 0, 3, 3, 3, 3, 3, 0, 3], [0, 3, 0, 0, 0, 0, 0, 0, 3, 3, 3, 0, 3, 0, 3], [3, 3, 0, 3, 3, 0, 0, 3, 3, 0, 3, 3, 0, 3, 0], [0, 3, 3, 0, 0, 0, 0, 0, 3, 0, 0, 3, 0, 0, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3, 0, 3, 0], [0, 0, 0, 0, 3, 0, 0, 3, 3, 0, 0, 0, 0, 0, 3], [0, 3, 0, 3, 3, 3, 3, 3, 3, 0, 3, 3, 0, 0, 3]]\nExample input-output arrays:\n[[0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0], [0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1], [1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0], [0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0], [1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0], [0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0], [1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1], [0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1], [1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1], [1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0], [0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1], [1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1], [0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1], [0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1], [0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0], [2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2], [0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2], [2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2], [2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2], [0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2], [2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0], [0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2], [0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2], [0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0], [2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0], [2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0], [0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2], [2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0], [0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2], [2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0]] -> [[3, 3, 3, 3, 3, 3, 0, 0, 3, 3, 3, 0, 3, 3, 3], [0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 3], [3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 3, 0, 0, 0, 0], [3, 3, 3, 3, 3, 0, 3, 3, 0, 3, 0, 3, 3, 3, 3], [0, 0, 0, 3, 0, 0, 3, 3, 0, 0, 3, 0, 0, 3, 0], [3, 3, 3, 0, 0, 3, 0, 3, 0, 3, 3, 0, 0, 3, 3], [0, 0, 3, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 3, 3], [3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 0, 3, 0, 3, 3], [3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 3, 0], [3, 3, 3, 3, 3, 0, 0, 0, 3, 3, 3, 3, 0, 3, 3], [0, 3, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 3], [3, 3, 3, 0, 3, 3, 3, 3, 0, 3, 0, 0, 3, 3, 3], [0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3], [3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 4, 4, 4, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 0], [0, 0, 4, 4, 4, 4, 0, 4, 0, 0, 0, 4, 4, 0, 4], [4, 4, 0, 4, 4, 4, 0, 0, 0, 4, 0, 4, 4, 0, 0], [0, 0, 4, 0, 0, 4, 0, 4, 0, 0, 4, 0, 0, 4, 0], [4, 0, 0, 4, 4, 0, 4, 4, 0, 0, 0, 4, 4, 0, 0], [0, 0, 4, 4, 4, 0, 4, 4, 4, 4, 4, 0, 0, 4, 0], [4, 4, 4, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 4], [0, 0, 4, 0, 4, 4, 4, 4, 0, 4, 4, 0, 0, 4, 4], [4, 4, 0, 4, 0, 4, 4, 4, 4, 4, 0, 0, 0, 4, 4], [4, 0, 4, 4, 0, 0, 0, 4, 0, 0, 4, 4, 4, 4, 0], [0, 0, 0, 0, 4, 0, 0, 0, 4, 4, 4, 4, 0, 0, 4], [4, 4, 4, 4, 4, 0, 0, 4, 0, 0, 0, 4, 0, 0, 4], [0, 0, 4, 0, 4, 0, 4, 0, 0, 4, 0, 0, 4, 0, 4], [0, 0, 4, 0, 4, 0, 0, 4, 4, 0, 4, 4, 0, 0, 4], [0, 4, 4, 0, 0, 0, 0, 4, 4, 4, 0, 0, 4, 0, 0], [2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2], [0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2], [2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2], [2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2], [0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2], [2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0], [0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2], [0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2], [0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0], [2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0], [2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0], [0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2], [2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0], [0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2], [2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
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+                            4,
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+                            4,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
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+                            4,
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+                            4,
+                            0,
+                            0,
+                            0,
+                            4,
+                            4,
+                            0,
+                            4
+                        ],
+                        [
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+                            4,
+                            0,
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            4,
+                            0,
+                            4,
+                            4,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            4,
+                            0,
+                            0,
+                            4,
+                            0,
+                            4,
+                            0,
+                            0,
+                            4,
+                            0,
+                            0,
+                            4,
+                            0
+                        ],
+                        [
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+                            0,
+                            4,
+                            4,
+                            0,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            4,
+                            4,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            4,
+                            4,
+                            4,
+                            0,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            4,
+                            0
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            4,
+                            0,
+                            0,
+                            0,
+                            4,
+                            0,
+                            0,
+                            0,
+                            4,
+                            4
+                        ],
+                        [
+                            0,
+                            0,
+                            4,
+                            0,
+                            4,
+                            4,
+                            4,
+                            4,
+                            0,
+                            4,
+                            4,
+                            0,
+                            0,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            0,
+                            4,
+                            0,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
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+                            4,
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+                            0,
+                            0,
+                            4,
+                            0,
+                            0,
+                            4,
+                            4,
+                            4,
+                            4,
+                            0
+                        ],
+                        [
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+                        [
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+                        [
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+                            0,
+                            0,
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+                            0,
+                            0,
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+                        ],
+                        [
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+                            0,
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+                            0,
+                            4,
+                            0,
+                            0,
+                            4,
+                            4,
+                            0,
+                            4,
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+                            0,
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+                        ],
+                        [
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+                            0,
+                            0,
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+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            4,
+                            0,
+                            0
+                        ],
+                        [
+                            2,
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+                            0,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            0,
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+                            0,
+                            0,
+                            0,
+                            0,
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+                            0,
+                            0,
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+                        ],
+                        [
+                            2,
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+                            0,
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+                            0,
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+                            0,
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+                        [
+                            2,
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+                            2,
+                            2,
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+                            2,
+                            2,
+                            2,
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+                        ],
+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                            0,
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+                        [
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+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
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+                            2,
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+                        ],
+                        [
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+                            2,
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+                            0,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
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+                            2,
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+                            0,
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+                        ],
+                        [
+                            0,
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+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
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+                        [
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+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0
+                        ]
+                    ],
+                    "output": [
+                        [
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
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+                        ],
+                        [
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+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
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+                            0,
+                            0,
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+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            3,
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+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
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+                        ],
+                        [
+                            0,
+                            0,
+                            0,
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+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
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+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3
+                        ],
+                        [
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0
+                        ]
+                    ]
+                }
+            },
+            "Replicate 1": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0], [1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1], [1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1], [0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1], [0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0], [0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0], [1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1], [0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0], [0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1], [0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1], [1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0], [0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1], [1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0], [0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1], [0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1], [0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0], [2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0], [2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2], [0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0], [0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2], [0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0], [2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0], [0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2], [2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0], [2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2], [2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0], [2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2], [2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0], [2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2], [0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0]] -> [[3, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 0], [3, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0], [3, 0, 0, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3], [0, 0, 0, 3, 0, 0, 3, 3, 0, 3, 3, 0, 0, 0, 0], [0, 3, 3, 3, 0, 0, 0, 3, 3, 0, 0, 3, 0, 3, 3], [0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3, 0, 0, 3, 3, 3, 3, 3, 0, 0, 3, 3, 3, 3], [0, 0, 0, 0, 3, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0], [3, 3, 3, 3, 3, 3, 0, 0, 3, 3, 3, 3, 3, 0, 3], [0, 3, 0, 0, 0, 0, 0, 0, 3, 3, 3, 0, 3, 0, 3], [3, 3, 0, 3, 3, 0, 0, 3, 3, 0, 3, 3, 0, 3, 0], [0, 3, 3, 0, 0, 0, 0, 0, 3, 0, 0, 3, 0, 0, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3, 0, 3, 0], [0, 0, 0, 0, 3, 0, 0, 3, 3, 0, 0, 0, 0, 0, 3], [0, 3, 0, 3, 3, 3, 3, 3, 3, 0, 3, 3, 0, 0, 3]]\nExample input-output arrays:\n[[0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0], [0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1], [1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0], [0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0], [1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0], [0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0], [1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1], [0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1], [1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1], [1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0], [0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1], [1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1], [0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1], [0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1], [0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0], [2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2], [0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2], [2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2], [2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2], [0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2], [2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0], [0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2], [0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2], [0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0], [2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0], [2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0], [0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2], [2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0], [0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2], [2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0]] -> [[3, 3, 3, 3, 3, 3, 0, 0, 3, 3, 3, 0, 3, 3, 3], [0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 3], [3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 3, 0, 0, 0, 0], [3, 3, 3, 3, 3, 0, 3, 3, 0, 3, 0, 3, 3, 3, 3], [0, 0, 0, 3, 0, 0, 3, 3, 0, 0, 3, 0, 0, 3, 0], [3, 3, 3, 0, 0, 3, 0, 3, 0, 3, 3, 0, 0, 3, 3], [0, 0, 3, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 3, 3], [3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 0, 3, 0, 3, 3], [3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 3, 0], [3, 3, 3, 3, 3, 0, 0, 0, 3, 3, 3, 3, 0, 3, 3], [0, 3, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 3], [3, 3, 3, 0, 3, 3, 3, 3, 0, 3, 0, 0, 3, 3, 3], [0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3], [3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0]]\nExample input-output arrays:\n[[0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0], [0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1], [1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0], [0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0], [1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0], [0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0], [1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1], [0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1], [1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1], [1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0], [0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1], [1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1], [0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1], [0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1], [0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0], [2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2], [0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2], [2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2], [2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2], [0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2], [2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0], [0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2], [0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2], [0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0], [2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0], [2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0], [0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2], [2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0], [0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2], [2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0]] -> [[3, 3, 3, 3, 3, 3, 0, 0, 3, 3, 3, 0, 3, 3, 3], [0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 3], [3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 3, 0, 0, 0, 0], [3, 3, 3, 3, 3, 0, 3, 3, 0, 3, 0, 3, 3, 3, 3], [0, 0, 0, 3, 0, 0, 3, 3, 0, 0, 3, 0, 0, 3, 0], [3, 3, 3, 0, 0, 3, 0, 3, 0, 3, 3, 0, 0, 3, 3], [0, 0, 3, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 3, 3], [3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 0, 3, 0, 3, 3], [3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 3, 0], [3, 3, 3, 3, 3, 0, 0, 0, 3, 3, 3, 3, 0, 3, 3], [0, 3, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 3], [3, 3, 3, 0, 3, 3, 3, 3, 0, 3, 0, 0, 3, 3, 3], [0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3], [3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0], [1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0], [0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0], [1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0], [1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0], [1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1], [0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0], [0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0], [0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1], [0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0], [1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1], [0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1], [1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1], [1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            0,
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+                            0,
+                            0,
+                            0,
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+                            0,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            0
+                        ],
+                        [
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+                            1,
+                            1,
+                            1,
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+                        ],
+                        [
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+                        ],
+                        [
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+                        ],
+                        [
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+                        ],
+                        [
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+                            1,
+                            0,
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+                            1,
+                            1,
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+                        ],
+                        [
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+                        ],
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+                        ],
+                        [
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+                        ],
+                        [
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+                        ],
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                    ],
+                    "output": [
+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        ]
+                    ]
+                }
+            },
+            "Replicate 2": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0], [0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0], [0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0], [0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1], [0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0], [1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1], [1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1], [1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1], [0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1], [1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0], [1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1], [0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1], [0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1], [1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1], [2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0], [0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2], [2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0], [2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2], [2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0], [2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0], [2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0], [2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0], [2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2], [0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2], [0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2], [2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0], [2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2], [0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0]] -> [[3, 0, 3, 3, 3, 3, 3, 0, 3, 3, 3, 0, 0, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3, 3, 0, 3, 3, 3, 3, 3, 0, 3, 3, 0, 0, 0], [0, 3, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 3], [3, 0, 0, 3, 0, 0, 3, 0, 3, 3, 0, 0, 3, 3, 0], [3, 0, 0, 3, 0, 3, 0, 0, 0, 0, 0, 0, 0, 3, 0], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3], [3, 3, 3, 0, 3, 3, 0, 3, 0, 3, 0, 0, 0, 0, 0], [0, 3, 0, 3, 3, 0, 3, 3, 3, 3, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 3, 0, 3], [3, 0, 0, 3, 3, 3, 0, 3, 3, 0, 3, 0, 3, 3, 3], [0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3], [3, 3, 3, 3, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3], [0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 3], [3, 0, 3, 0, 0, 3, 3, 0, 3, 3, 0, 3, 3, 3, 3]]\nExample input-output arrays:\n[[0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0], [0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1], [1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0], [0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0], [1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0], [0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0], [1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1], [0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1], [1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1], [1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0], [0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1], [1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1], [0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1], [0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1], [0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0], [2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2], [0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2], [2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2], [2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2], [0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2], [2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0], [0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2], [0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2], [0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0], [2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0], [2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0], [0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2], [2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0], [0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2], [2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0]] -> [[3, 3, 3, 3, 3, 3, 0, 0, 3, 3, 3, 0, 3, 3, 3], [0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 3], [3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 3, 0, 0, 0, 0], [3, 3, 3, 3, 3, 0, 3, 3, 0, 3, 0, 3, 3, 3, 3], [0, 0, 0, 3, 0, 0, 3, 3, 0, 0, 3, 0, 0, 3, 0], [3, 3, 3, 0, 0, 3, 0, 3, 0, 3, 3, 0, 0, 3, 3], [0, 0, 3, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 3, 3], [3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 0, 3, 0, 3, 3], [3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 3, 0], [3, 3, 3, 3, 3, 0, 0, 0, 3, 3, 3, 3, 0, 3, 3], [0, 3, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 3], [3, 3, 3, 0, 3, 3, 3, 3, 0, 3, 0, 0, 3, 3, 3], [0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3], [3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0]]\nExample input-output arrays:\n[[0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0], [0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1], [1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0], [0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0], [1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0], [0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0], [1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1], [0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1], [1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1], [1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0], [0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1], [1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1], [0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1], [0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1], [0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0], [2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2], [0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2], [2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2], [2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2], [0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2], [2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0], [0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2], [0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2], [0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0], [2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0], [2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0], [0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2], [2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0], [0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2], [2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0]] -> [[3, 3, 3, 3, 3, 3, 0, 0, 3, 3, 3, 0, 3, 3, 3], [0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 3], [3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 3, 0, 0, 0, 0], [3, 3, 3, 3, 3, 0, 3, 3, 0, 3, 0, 3, 3, 3, 3], [0, 0, 0, 3, 0, 0, 3, 3, 0, 0, 3, 0, 0, 3, 0], [3, 3, 3, 0, 0, 3, 0, 3, 0, 3, 3, 0, 0, 3, 3], [0, 0, 3, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 3, 3], [3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 0, 3, 0, 3, 3], [3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 3, 0], [3, 3, 3, 3, 3, 0, 0, 0, 3, 3, 3, 3, 0, 3, 3], [0, 3, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 3], [3, 3, 3, 0, 3, 3, 3, 3, 0, 3, 0, 0, 3, 3, 3], [0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3], [3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0], [2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0], [2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2], [2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0], [0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2], [0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2], [0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0], [2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0], [2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0], [2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2], [2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0], [2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2], [0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2], [0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2], [2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
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+                        [
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+                        ],
+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        ],
+                        [
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+                            0,
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+                        ],
+                        [
+                            2,
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+                            2,
+                            0,
+                            0,
+                            0,
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+                            2
+                        ],
+                        [
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+                            0,
+                            2,
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+                            0,
+                            0,
+                            0,
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+                            2,
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+                        ],
+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                            2,
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+                            0,
+                            2,
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+                            0,
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+                        ],
+                        [
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+                            0,
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+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
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+                            2
+                        ],
+                        [
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+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
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+                            2
+                        ],
+                        [
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+                            0,
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+                            2,
+                            2,
+                            0,
+                            2,
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+                            2,
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+                        [
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+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0
+                        ]
+                    ],
+                    "output": [
+                        [
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
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+                            0,
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+                            0,
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+                        ],
+                        [
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+                            0,
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+                            0,
+                            0,
+                            0,
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+                            0
+                        ],
+                        [
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+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3
+                        ],
+                        [
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+                            0,
+                            0,
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+                            0,
+                            0,
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+                            0
+                        ],
+                        [
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+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3
+                        ],
+                        [
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+                            0,
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+                            0,
+                            0
+                        ],
+                        [
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+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
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+                            0,
+                            3,
+                            3,
+                            3,
+                            0
+                        ],
+                        [
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+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0
+                        ]
+                    ]
+                }
+            },
+            "Replicate 3": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0], [1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0], [0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0], [1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0], [0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1], [1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0], [0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0], [0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1], [0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0], [1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1], [0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1], [0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0], [1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1], [1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0], [2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2], [2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0], [0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0], [2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2], [2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0], [0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2], [0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0], [0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2], [0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0], [2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0], [0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2], [0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2], [0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0], [2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2], [0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0]] -> [[3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3], [3, 3, 3, 3, 0, 0, 0, 3, 3, 0, 3, 0, 0, 0, 0], [0, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0], [3, 3, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0], [3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 0, 3, 3, 3], [0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0], [0, 3, 3, 3, 3, 0, 3, 3, 3, 3, 0, 3, 3, 3, 0], [0, 3, 0, 0, 0, 0, 3, 3, 0, 3, 0, 0, 3, 0, 3], [0, 0, 3, 3, 0, 3, 0, 3, 3, 3, 3, 3, 0, 3, 0], [3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0], [0, 3, 0, 3, 3, 3, 0, 3, 3, 0, 3, 3, 3, 3, 3], [0, 0, 0, 0, 3, 3, 0, 3, 3, 0, 0, 0, 0, 0, 3], [0, 3, 0, 3, 3, 3, 3, 3, 0, 3, 0, 3, 3, 0, 0], [3, 0, 3, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 3], [3, 3, 0, 3, 3, 3, 3, 3, 3, 0, 3, 0, 3, 3, 0]]\nExample input-output arrays:\n[[1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0], [1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0], [0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0], [1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0], [0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1], [1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0], [0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0], [0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1], [0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0], [1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1], [0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1], [0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0], [1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1], [1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0], [2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2], [2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0], [0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0], [2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2], [2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0], [0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2], [0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0], [0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2], [0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0], [2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0], [0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2], [0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2], [0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0], [2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2], [0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0]] -> [[3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3], [3, 3, 3, 3, 0, 0, 0, 3, 3, 0, 3, 0, 0, 0, 0], [0, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0], [3, 3, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0], [3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 0, 3, 3, 3], [0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0], [0, 3, 3, 3, 3, 0, 3, 3, 3, 3, 0, 3, 3, 3, 0], [0, 3, 0, 0, 0, 0, 3, 3, 0, 3, 0, 0, 3, 0, 3], [0, 0, 3, 3, 0, 3, 0, 3, 3, 3, 3, 3, 0, 3, 0], [3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0], [0, 3, 0, 3, 3, 3, 0, 3, 3, 0, 3, 3, 3, 3, 3], [0, 0, 0, 0, 3, 3, 0, 3, 3, 0, 0, 0, 0, 0, 3], [0, 3, 0, 3, 3, 3, 3, 3, 0, 3, 0, 3, 3, 0, 0], [3, 0, 3, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 3], [3, 3, 0, 3, 3, 3, 3, 3, 3, 0, 3, 0, 3, 3, 0]]\nExample input-output arrays:\n[[0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0], [0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1], [1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0], [0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0], [1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0], [0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0], [1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1], [0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1], [1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1], [1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0], [0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1], [1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1], [0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1], [0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1], [0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0], [2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2], [0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2], [2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2], [2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2], [0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2], [2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0], [0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2], [0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2], [0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0], [2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0], [2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0], [0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2], [2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0], [0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2], [2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0]] -> [[3, 3, 3, 3, 3, 3, 0, 0, 3, 3, 3, 0, 3, 3, 3], [0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 3], [3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 3, 0, 0, 0, 0], [3, 3, 3, 3, 3, 0, 3, 3, 0, 3, 0, 3, 3, 3, 3], [0, 0, 0, 3, 0, 0, 3, 3, 0, 0, 3, 0, 0, 3, 0], [3, 3, 3, 0, 0, 3, 0, 3, 0, 3, 3, 0, 0, 3, 3], [0, 0, 3, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 3, 3], [3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 0, 3, 0, 3, 3], [3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 3, 0], [3, 3, 3, 3, 3, 0, 0, 0, 3, 3, 3, 3, 0, 3, 3], [0, 3, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 3], [3, 3, 3, 0, 3, 3, 3, 3, 0, 3, 0, 0, 3, 3, 3], [0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3], [3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1], [1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1], [0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1], [0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0], [0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1], [1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1], [1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1], [0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0], [1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0], [1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1], [1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1], [1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1], [1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1], [0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1], [0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
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+                            1,
+                            1,
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+                        ],
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+                        ],
+                        [
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+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
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+                            0,
+                            0,
+                            0,
+                            0,
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+                            0,
+                            0,
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+                            0,
+                            0,
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+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
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+                            0,
+                            0,
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+                        ],
+                        [
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+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ]
+                    ],
+                    "output": [
+                        [
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3
+                        ],
+                        [
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+                            0,
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+                            0,
+                            0,
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+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
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+                        ],
+                        [
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
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+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0
+                        ],
+                        [
+                            0,
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+                            0,
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+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            3,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
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+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
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+                        ],
+                        [
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3
+                        ]
+                    ]
+                }
+            },
+            "Replicate 4": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0], [0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0], [0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0], [0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1], [0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0], [1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1], [1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1], [1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1], [0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1], [1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0], [1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1], [0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1], [0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1], [1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1], [2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0], [0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2], [2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0], [2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2], [2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0], [2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0], [2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0], [2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0], [2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2], [0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2], [0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2], [2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0], [2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2], [0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0]] -> [[3, 0, 3, 3, 3, 3, 3, 0, 3, 3, 3, 0, 0, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3, 3, 0, 3, 3, 3, 3, 3, 0, 3, 3, 0, 0, 0], [0, 3, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 3], [3, 0, 0, 3, 0, 0, 3, 0, 3, 3, 0, 0, 3, 3, 0], [3, 0, 0, 3, 0, 3, 0, 0, 0, 0, 0, 0, 0, 3, 0], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3], [3, 3, 3, 0, 3, 3, 0, 3, 0, 3, 0, 0, 0, 0, 0], [0, 3, 0, 3, 3, 0, 3, 3, 3, 3, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 3, 0, 3], [3, 0, 0, 3, 3, 3, 0, 3, 3, 0, 3, 0, 3, 3, 3], [0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3], [3, 3, 3, 3, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3], [0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 3], [3, 0, 3, 0, 0, 3, 3, 0, 3, 3, 0, 3, 3, 3, 3]]\nExample input-output arrays:\n[[1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0], [1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1], [1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1], [0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1], [0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0], [0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0], [1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1], [0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0], [0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1], [0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1], [1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0], [0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1], [1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0], [0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1], [0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1], [0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0], [2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0], [2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2], [0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0], [0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2], [0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0], [2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0], [0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2], [2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0], [2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2], [2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0], [2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2], [2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0], [2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2], [0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0]] -> [[3, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 0], [3, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0], [3, 0, 0, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3], [0, 0, 0, 3, 0, 0, 3, 3, 0, 3, 3, 0, 0, 0, 0], [0, 3, 3, 3, 0, 0, 0, 3, 3, 0, 0, 3, 0, 3, 3], [0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3, 0, 0, 3, 3, 3, 3, 3, 0, 0, 3, 3, 3, 3], [0, 0, 0, 0, 3, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0], [3, 3, 3, 3, 3, 3, 0, 0, 3, 3, 3, 3, 3, 0, 3], [0, 3, 0, 0, 0, 0, 0, 0, 3, 3, 3, 0, 3, 0, 3], [3, 3, 0, 3, 3, 0, 0, 3, 3, 0, 3, 3, 0, 3, 0], [0, 3, 3, 0, 0, 0, 0, 0, 3, 0, 0, 3, 0, 0, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3, 0, 3, 0], [0, 0, 0, 0, 3, 0, 0, 3, 3, 0, 0, 0, 0, 0, 3], [0, 3, 0, 3, 3, 3, 3, 3, 3, 0, 3, 3, 0, 0, 3]]\nExample input-output arrays:\n[[1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0], [1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0], [0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0], [1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0], [0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1], [1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0], [0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0], [0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1], [0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0], [1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1], [0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1], [0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0], [1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1], [1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0], [2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2], [2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0], [0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0], [2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2], [2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0], [0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2], [0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0], [0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2], [0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0], [2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0], [0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2], [0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2], [0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0], [2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2], [0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0]] -> [[3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3], [3, 3, 3, 3, 0, 0, 0, 3, 3, 0, 3, 0, 0, 0, 0], [0, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0], [3, 3, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0], [3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 0, 3, 3, 3], [0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0], [0, 3, 3, 3, 3, 0, 3, 3, 3, 3, 0, 3, 3, 3, 0], [0, 3, 0, 0, 0, 0, 3, 3, 0, 3, 0, 0, 3, 0, 3], [0, 0, 3, 3, 0, 3, 0, 3, 3, 3, 3, 3, 0, 3, 0], [3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0], [0, 3, 0, 3, 3, 3, 0, 3, 3, 0, 3, 3, 3, 3, 3], [0, 0, 0, 0, 3, 3, 0, 3, 3, 0, 0, 0, 0, 0, 3], [0, 3, 0, 3, 3, 3, 3, 3, 0, 3, 0, 3, 3, 0, 0], [3, 0, 3, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 3], [3, 3, 0, 3, 3, 3, 3, 3, 3, 0, 3, 0, 3, 3, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2], [2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2], [2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2], [0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0], [0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0], [2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0], [2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0], [0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2], [0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2], [0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2], [2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2], [2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2], [0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2], [2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
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+                            0,
+                            0,
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+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
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+                            0,
+                            0,
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+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
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+                            0,
+                            0,
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+                        ],
+                        [
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+                            0,
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+                            0,
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+                            0,
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+                        ],
+                        [
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+                            0,
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+        },
+        "L3": {
+            "Replicate 0": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0], [1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0], [0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0], [1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0], [0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1], [1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0], [0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0], [0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1], [0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0], [1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1], [0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1], [0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0], [1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1], [1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0], [2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2], [2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0], [0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0], [2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2], [2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0], [0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2], [0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0], [0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2], [0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0], [2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0], [0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2], [0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2], [0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0], [2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2], [0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0]] -> [[3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3], [3, 3, 3, 3, 0, 0, 0, 3, 3, 0, 3, 0, 0, 0, 0], [0, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0], [3, 3, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0], [3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 0, 3, 3, 3], [0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0], [0, 3, 3, 3, 3, 0, 3, 3, 3, 3, 0, 3, 3, 3, 0], [0, 3, 0, 0, 0, 0, 3, 3, 0, 3, 0, 0, 3, 0, 3], [0, 0, 3, 3, 0, 3, 0, 3, 3, 3, 3, 3, 0, 3, 0], [3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0], [0, 3, 0, 3, 3, 3, 0, 3, 3, 0, 3, 3, 3, 3, 3], [0, 0, 0, 0, 3, 3, 0, 3, 3, 0, 0, 0, 0, 0, 3], [0, 3, 0, 3, 3, 3, 3, 3, 0, 3, 0, 3, 3, 0, 0], [3, 0, 3, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 3], [3, 3, 0, 3, 3, 3, 3, 3, 3, 0, 3, 0, 3, 3, 0]]\nExample input-output arrays:\n[[1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0], [1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0], [0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0], [1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0], [0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1], [1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0], [0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0], [0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1], [0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0], [1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1], [0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1], [0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0], [1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1], [1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0], [2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2], [2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0], [0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0], [2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2], [2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0], [0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2], [0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0], [0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2], [0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0], [2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0], [0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2], [0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2], [0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0], [2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2], [0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0]] -> [[3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3], [3, 3, 3, 3, 0, 0, 0, 3, 3, 0, 3, 0, 0, 0, 0], [0, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0], [3, 3, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0], [3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 0, 3, 3, 3], [0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0], [0, 3, 3, 3, 3, 0, 3, 3, 3, 3, 0, 3, 3, 3, 0], [0, 3, 0, 0, 0, 0, 3, 3, 0, 3, 0, 0, 3, 0, 3], [0, 0, 3, 3, 0, 3, 0, 3, 3, 3, 3, 3, 0, 3, 0], [3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0], [0, 3, 0, 3, 3, 3, 0, 3, 3, 0, 3, 3, 3, 3, 3], [0, 0, 0, 0, 3, 3, 0, 3, 3, 0, 0, 0, 0, 0, 3], [0, 3, 0, 3, 3, 3, 3, 3, 0, 3, 0, 3, 3, 0, 0], [3, 0, 3, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 3], [3, 3, 0, 3, 3, 3, 3, 3, 3, 0, 3, 0, 3, 3, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0], [0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0], [1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1], [1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1], [0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1], [1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0], [1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0], [0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1], [1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1], [1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1], [0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1], [1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1], [1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1], [0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            0,
+                            0,
+                            1,
+                            0,
+                            0,
+                            1,
+                            1,
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+                        ],
+                        [
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+                        ],
+                        [
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+                            1,
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+                            0,
+                            0,
+                            1,
+                            1,
+                            1,
+                            0,
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+                            1,
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+                        ],
+                        [
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+                        ],
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+                        ],
+                        [
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+                            1,
+                            1,
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+                            0,
+                            0,
+                            1,
+                            0,
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+                            0,
+                            0
+                        ],
+                        [
+                            1,
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+                            0,
+                            1,
+                            0,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            0,
+                            0,
+                            1,
+                            1,
+                            0
+                        ],
+                        [
+                            0,
+                            1,
+                            0,
+                            1,
+                            1,
+                            0,
+                            1,
+                            1,
+                            1,
+                            0,
+                            0,
+                            1,
+                            1,
+                            1,
+                            1
+                        ],
+                        [
+                            1,
+                            0,
+                            1,
+                            0,
+                            0,
+                            0,
+                            1,
+                            0,
+                            0,
+                            1,
+                            0,
+                            0,
+                            0,
+                            1,
+                            1
+                        ],
+                        [
+                            1,
+                            1,
+                            1,
+                            0,
+                            0,
+                            0,
+                            1,
+                            0,
+                            0,
+                            0,
+                            1,
+                            1,
+                            1,
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+                            1
+                        ],
+                        [
+                            0,
+                            0,
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+                            1,
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+                            1,
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+                            1,
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+                            1,
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+                        ],
+                        [
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+                        ],
+                        [
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+                        ],
+                        [
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+                            0,
+                            1,
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+                            0,
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+                        ],
+                        [
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+                            0,
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+                            1,
+                            0,
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+                            1,
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+                        ],
+                        [
+                            0,
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+                            0,
+                            0,
+                            0,
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+                        ],
+                        [
+                            0,
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+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
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+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
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+                            0,
+                            0,
+                            0
+                        ],
+                        [
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+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
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+                        ],
+                        [
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+                            0,
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+                        ],
+                        [
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+                            0,
+                            0,
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+                        [
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+                        [
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+                        [
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+                            0,
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+                            0,
+                            0,
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+                        ],
+                        [
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+                            0,
+                            0,
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+                            0,
+                            0,
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+                            0,
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+                        ],
+                        [
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+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
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+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ]
+                    ],
+                    "output": [
+                        [
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            3,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3
+                        ]
+                    ]
+                }
+            },
+            "Replicate 1": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0], [0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1], [1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0], [0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0], [1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0], [0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0], [1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1], [0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1], [1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1], [1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0], [0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1], [1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1], [0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1], [0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1], [0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0], [2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2], [0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2], [2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2], [2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2], [0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2], [2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0], [0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2], [0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2], [0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0], [2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0], [2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0], [0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2], [2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0], [0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2], [2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0]] -> [[3, 3, 3, 3, 3, 3, 0, 0, 3, 3, 3, 0, 3, 3, 3], [0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 3], [3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 3, 0, 0, 0, 0], [3, 3, 3, 3, 3, 0, 3, 3, 0, 3, 0, 3, 3, 3, 3], [0, 0, 0, 3, 0, 0, 3, 3, 0, 0, 3, 0, 0, 3, 0], [3, 3, 3, 0, 0, 3, 0, 3, 0, 3, 3, 0, 0, 3, 3], [0, 0, 3, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 3, 3], [3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 0, 3, 0, 3, 3], [3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 3, 0], [3, 3, 3, 3, 3, 0, 0, 0, 3, 3, 3, 3, 0, 3, 3], [0, 3, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 3], [3, 3, 3, 0, 3, 3, 3, 3, 0, 3, 0, 0, 3, 3, 3], [0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3], [3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0], [2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0], [2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2], [2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0], [0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2], [0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2], [0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0], [2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0], [2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0], [2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2], [2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0], [2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2], [0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2], [0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2], [2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0]] -> [[3, 0, 3, 0, 3, 3, 0, 3, 3, 3, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3, 3, 3, 0, 3, 3, 0, 3, 0, 0, 0, 0, 3, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 3, 3, 0, 0, 3, 0, 3, 0, 0, 0, 0, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 3, 0, 0, 0, 0, 0, 0, 3, 0, 0, 3, 3, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 3, 0, 3, 3, 0, 3, 3, 0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3, 0, 3, 0, 0, 0, 0, 3, 0, 0, 0, 0, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 3, 3, 3, 0, 0, 0, 0, 3, 3, 3, 0, 3, 3, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 0, 3, 3, 0, 0, 3, 3, 3, 3, 0, 0, 3, 0]]\nExample input-output arrays:\n[[1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0], [1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0], [0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0], [1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0], [0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1], [1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0], [0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0], [0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1], [0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0], [1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1], [0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1], [0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0], [1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1], [1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0], [2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2], [2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0], [0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0], [2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2], [2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0], [0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2], [0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0], [0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2], [0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0], [2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0], [0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2], [0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2], [0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0], [2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2], [0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0]] -> [[3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3], [3, 3, 3, 3, 0, 0, 0, 3, 3, 0, 3, 0, 0, 0, 0], [0, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0], [3, 3, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0], [3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 0, 3, 3, 3], [0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0], [0, 3, 3, 3, 3, 0, 3, 3, 3, 3, 0, 3, 3, 3, 0], [0, 3, 0, 0, 0, 0, 3, 3, 0, 3, 0, 0, 3, 0, 3], [0, 0, 3, 3, 0, 3, 0, 3, 3, 3, 3, 3, 0, 3, 0], [3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0], [0, 3, 0, 3, 3, 3, 0, 3, 3, 0, 3, 3, 3, 3, 3], [0, 0, 0, 0, 3, 3, 0, 3, 3, 0, 0, 0, 0, 0, 3], [0, 3, 0, 3, 3, 3, 3, 3, 0, 3, 0, 3, 3, 0, 0], [3, 0, 3, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 3], [3, 3, 0, 3, 3, 3, 3, 3, 3, 0, 3, 0, 3, 3, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0], [2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2], [2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2], [2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0], [2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0], [2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2], [0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2], [2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2], [2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2], [2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2], [2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2], [0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2], [0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0], [2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2]] -> ",
+                "test": {
+                    "input": [
+                        [
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+                        ],
+                        [
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+                        [
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+                        [
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+                        [
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+                        [
+                            2,
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+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            0,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            2,
+                            0,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2
+                        ]
+                    ],
+                    "output": [
+                        [
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3
+                        ]
+                    ]
+                }
+            },
+            "Replicate 2": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0], [0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1], [1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0], [0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0], [1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0], [0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0], [1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1], [0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1], [1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1], [1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0], [0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1], [1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1], [0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1], [0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1], [0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0], [2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2], [0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2], [2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2], [2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2], [0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2], [2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0], [0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2], [0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2], [0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0], [2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0], [2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0], [0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2], [2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0], [0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2], [2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0]] -> [[3, 3, 3, 3, 3, 3, 0, 0, 3, 3, 3, 0, 3, 3, 3], [0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 3], [3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 3, 0, 0, 0, 0], [3, 3, 3, 3, 3, 0, 3, 3, 0, 3, 0, 3, 3, 3, 3], [0, 0, 0, 3, 0, 0, 3, 3, 0, 0, 3, 0, 0, 3, 0], [3, 3, 3, 0, 0, 3, 0, 3, 0, 3, 3, 0, 0, 3, 3], [0, 0, 3, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 3, 3], [3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 0, 3, 0, 3, 3], [3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 3, 0], [3, 3, 3, 3, 3, 0, 0, 0, 3, 3, 3, 3, 0, 3, 3], [0, 3, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 3], [3, 3, 3, 0, 3, 3, 3, 3, 0, 3, 0, 0, 3, 3, 3], [0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3], [3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0], [1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0], [0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0], [1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0], [1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0], [1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1], [0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0], [0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0], [0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1], [0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0], [1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1], [0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1], [1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1], [1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]] -> [[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 0, 3, 0, 3, 3, 3, 3, 0, 0, 3, 3, 0], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 0, 0, 3, 3, 0, 3, 3, 3, 3, 3, 0, 0, 0, 0], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 0, 0, 3, 3, 3, 0, 3, 0, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [0, 3, 0, 0, 3, 3, 3, 0, 0, 0, 3, 0, 3, 3, 0], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [0, 0, 3, 3, 0, 3, 3, 3, 0, 3, 3, 0, 3, 3, 0], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [0, 3, 0, 0, 3, 3, 3, 3, 0, 3, 0, 0, 3, 0, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 0, 3, 0, 0, 3, 0, 3, 0, 0, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]]\nExample input-output arrays:\n[[1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0], [1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1], [1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1], [0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1], [0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0], [0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0], [1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1], [0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0], [0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1], [0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1], [1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0], [0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1], [1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0], [0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1], [0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1], [0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0], [2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0], [2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2], [0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0], [0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2], [0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0], [2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0], [0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2], [2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0], [2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2], [2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0], [2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2], [2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0], [2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2], [0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0]] -> [[3, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 0], [3, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0], [3, 0, 0, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3], [0, 0, 0, 3, 0, 0, 3, 3, 0, 3, 3, 0, 0, 0, 0], [0, 3, 3, 3, 0, 0, 0, 3, 3, 0, 0, 3, 0, 3, 3], [0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3, 0, 0, 3, 3, 3, 3, 3, 0, 0, 3, 3, 3, 3], [0, 0, 0, 0, 3, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0], [3, 3, 3, 3, 3, 3, 0, 0, 3, 3, 3, 3, 3, 0, 3], [0, 3, 0, 0, 0, 0, 0, 0, 3, 3, 3, 0, 3, 0, 3], [3, 3, 0, 3, 3, 0, 0, 3, 3, 0, 3, 3, 0, 3, 0], [0, 3, 3, 0, 0, 0, 0, 0, 3, 0, 0, 3, 0, 0, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3, 0, 3, 0], [0, 0, 0, 0, 3, 0, 0, 3, 3, 0, 0, 0, 0, 0, 3], [0, 3, 0, 3, 3, 3, 3, 3, 3, 0, 3, 3, 0, 0, 3]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0], [2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0], [2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2], [2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0], [2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2], [0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2], [2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2], [2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0], [2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2], [0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0], [2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2], [0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2], [0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2], [2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
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+            },
+            "Replicate 3": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0], [0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0], [0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0], [0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1], [0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0], [1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1], [1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1], [1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1], [0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1], [1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0], [1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1], [0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1], [0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1], [1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1], [2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0], [0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2], [2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0], [2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2], [2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0], [2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0], [2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0], [2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0], [2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2], [0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2], [0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2], [2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0], [2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2], [0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0]] -> [[3, 0, 3, 3, 3, 3, 3, 0, 3, 3, 3, 0, 0, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3, 3, 0, 3, 3, 3, 3, 3, 0, 3, 3, 0, 0, 0], [0, 3, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 3], [3, 0, 0, 3, 0, 0, 3, 0, 3, 3, 0, 0, 3, 3, 0], [3, 0, 0, 3, 0, 3, 0, 0, 0, 0, 0, 0, 0, 3, 0], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3], [3, 3, 3, 0, 3, 3, 0, 3, 0, 3, 0, 0, 0, 0, 0], [0, 3, 0, 3, 3, 0, 3, 3, 3, 3, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 3, 0, 3], [3, 0, 0, 3, 3, 3, 0, 3, 3, 0, 3, 0, 3, 3, 3], [0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3], [3, 3, 3, 3, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3], [0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 3], [3, 0, 3, 0, 0, 3, 3, 0, 3, 3, 0, 3, 3, 3, 3]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1], [1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0], [0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1], [1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0], [1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0], [0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0], [0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0], [1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0], [1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0], [1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1], [1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1], [0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1], [1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0], [1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 3, 0, 3, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 3, 3, 0, 0, 3, 0, 0, 3, 3, 0, 0, 0, 0, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 0, 0, 0, 0, 3, 0, 0, 0, 3, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3, 0, 0, 0, 3, 0, 3, 3, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3, 3, 0, 0, 3, 0, 0, 0, 3, 3, 3, 0, 0, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 3, 3, 3, 0, 3, 3, 0, 3, 3, 3, 3, 0, 3, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3, 0, 0, 3, 0, 3, 0, 3, 3, 3, 3, 3, 0, 0]]\nExample input-output arrays:\n[[1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0], [1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0], [0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0], [1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0], [0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1], [1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0], [0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0], [0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1], [0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0], [1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1], [0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1], [0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0], [1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1], [1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0], [2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2], [2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0], [0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0], [2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2], [2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0], [0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2], [0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0], [0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2], [0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0], [2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0], [0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2], [0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2], [0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0], [2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2], [0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0]] -> [[3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3], [3, 3, 3, 3, 0, 0, 0, 3, 3, 0, 3, 0, 0, 0, 0], [0, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0], [3, 3, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0], [3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 0, 3, 3, 3], [0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0], [0, 3, 3, 3, 3, 0, 3, 3, 3, 3, 0, 3, 3, 3, 0], [0, 3, 0, 0, 0, 0, 3, 3, 0, 3, 0, 0, 3, 0, 3], [0, 0, 3, 3, 0, 3, 0, 3, 3, 3, 3, 3, 0, 3, 0], [3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0], [0, 3, 0, 3, 3, 3, 0, 3, 3, 0, 3, 3, 3, 3, 3], [0, 0, 0, 0, 3, 3, 0, 3, 3, 0, 0, 0, 0, 0, 3], [0, 3, 0, 3, 3, 3, 3, 3, 0, 3, 0, 3, 3, 0, 0], [3, 0, 3, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 3], [3, 3, 0, 3, 3, 3, 3, 3, 3, 0, 3, 0, 3, 3, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[7, 7, 7, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 7, 0], [7, 7, 7, 7, 0, 7, 7, 7, 7, 0, 7, 0, 0, 0, 0], [0, 7, 7, 7, 0, 0, 0, 0, 7, 0, 7, 7, 0, 0, 0], [7, 7, 0, 0, 7, 7, 0, 0, 7, 0, 0, 0, 0, 0, 0], [0, 7, 0, 7, 0, 0, 0, 7, 0, 7, 7, 0, 7, 7, 7], [7, 0, 7, 0, 7, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0], [0, 7, 0, 7, 0, 0, 7, 0, 7, 7, 0, 7, 7, 0, 0], [0, 7, 0, 0, 0, 0, 7, 7, 7, 7, 0, 0, 7, 7, 7], [0, 0, 7, 7, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0], [7, 7, 7, 0, 7, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7], [0, 7, 0, 7, 7, 7, 0, 0, 0, 0, 7, 7, 7, 0, 7], [0, 0, 0, 7, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0, 7], [0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 7, 7, 0, 0], [7, 0, 7, 0, 7, 0, 0, 0, 7, 7, 0, 0, 7, 0, 7], [7, 7, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0], [2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2], [2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0], [0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0], [2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2], [2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0], [0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2], [0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0], [0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2], [0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0], [2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0], [0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2], [0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2], [0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0], [2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2], [0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
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+                            7,
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+                            7,
+                            7,
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+                            0
+                        ],
+                        [
+                            7,
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+                            7,
+                            7,
+                            7,
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+                            7,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
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+                            7,
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+                            0,
+                            0,
+                            0,
+                            0,
+                            7,
+                            0,
+                            7,
+                            7,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            7,
+                            7,
+                            0,
+                            0,
+                            7,
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+                            0,
+                            0,
+                            7,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
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+                            0,
+                            7,
+                            0,
+                            0,
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+                            0,
+                            7,
+                            7,
+                            0,
+                            7,
+                            7,
+                            7
+                        ],
+                        [
+                            7,
+                            0,
+                            7,
+                            0,
+                            7,
+                            0,
+                            7,
+                            7,
+                            7,
+                            7,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
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+                            0,
+                            7,
+                            0,
+                            0,
+                            7,
+                            0,
+                            7,
+                            7,
+                            0,
+                            7,
+                            7,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            7,
+                            0,
+                            0,
+                            0,
+                            0,
+                            7,
+                            7,
+                            7,
+                            7,
+                            0,
+                            0,
+                            7,
+                            7,
+                            7
+                        ],
+                        [
+                            0,
+                            0,
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+                            7,
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+                            7,
+                            0,
+                            0,
+                            0,
+                            0,
+                            7,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            7,
+                            7,
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+                            0,
+                            0,
+                            0,
+                            0,
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+                            7,
+                            7,
+                            7,
+                            7
+                        ],
+                        [
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+                            7,
+                            7,
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+                            0,
+                            0,
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+                            7,
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+                        ],
+                        [
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+                            7,
+                            7,
+                            7,
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+                            0,
+                            0,
+                            0,
+                            0,
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+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
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+                            7,
+                            7,
+                            0,
+                            0,
+                            0,
+                            7,
+                            7,
+                            0,
+                            0
+                        ],
+                        [
+                            7,
+                            0,
+                            7,
+                            0,
+                            7,
+                            0,
+                            0,
+                            0,
+                            7,
+                            7,
+                            0,
+                            0,
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+                            0,
+                            7
+                        ],
+                        [
+                            7,
+                            7,
+                            0,
+                            7,
+                            7,
+                            7,
+                            7,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            7,
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+                            0
+                        ],
+                        [
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
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+                            2,
+                            0,
+                            0
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
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+                            2,
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+                        [
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+                        [
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+                        [
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+                            2,
+                            0,
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+                        [
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+                        [
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+                        [
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+                            0,
+                            2,
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+                            2,
+                            2,
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+                            0,
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+                            2
+                        ],
+                        [
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+                            0,
+                            2,
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+                            0,
+                            2,
+                            2,
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+                            0,
+                            0,
+                            2,
+                            0,
+                            2
+                        ],
+                        [
+                            0,
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+                            0,
+                            2,
+                            2,
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+                            2,
+                            0,
+                            0,
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+                            0,
+                            0,
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+                            0
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+                        [
+                            2,
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+                            2,
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+                            2,
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+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
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+                        [
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+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0
+                        ]
+                    ],
+                    "output": [
+                        [
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
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+                        [
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+                        [
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+                            3,
+                            3,
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+                            3,
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+                        ],
+                        [
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+                            0,
+                            3,
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+                            0,
+                            0,
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+                        ],
+                        [
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+                            3,
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+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
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+                            0,
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+                            0,
+                            0,
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+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
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+                            3,
+                            3,
+                            3,
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+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0
+                        ],
+                        [
+                            0,
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+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
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+                            3,
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+                            0,
+                            3,
+                            3,
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+                            3,
+                            3,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            0,
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+                            3,
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+                            3,
+                            3,
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+                            0,
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+                            0,
+                            0,
+                            3
+                        ],
+                        [
+                            0,
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+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0
+                        ],
+                        [
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0
+                        ]
+                    ]
+                }
+            },
+            "Replicate 4": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0], [0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0], [0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0], [0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1], [0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0], [1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1], [1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1], [1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1], [0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1], [1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0], [1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1], [0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1], [0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1], [1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1], [2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0], [0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2], [2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0], [2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2], [2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0], [2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0], [2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0], [2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0], [2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2], [0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2], [0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2], [2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0], [2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2], [0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0]] -> [[3, 0, 3, 3, 3, 3, 3, 0, 3, 3, 3, 0, 0, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3, 3, 0, 3, 3, 3, 3, 3, 0, 3, 3, 0, 0, 0], [0, 3, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 3], [3, 0, 0, 3, 0, 0, 3, 0, 3, 3, 0, 0, 3, 3, 0], [3, 0, 0, 3, 0, 3, 0, 0, 0, 0, 0, 0, 0, 3, 0], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3], [3, 3, 3, 0, 3, 3, 0, 3, 0, 3, 0, 0, 0, 0, 0], [0, 3, 0, 3, 3, 0, 3, 3, 3, 3, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 3, 0, 3], [3, 0, 0, 3, 3, 3, 0, 3, 3, 0, 3, 0, 3, 3, 3], [0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3], [3, 3, 3, 3, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3], [0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 3], [3, 0, 3, 0, 0, 3, 3, 0, 3, 3, 0, 3, 3, 3, 3]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0], [1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0], [1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1], [1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1], [0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0], [1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0], [1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1], [1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0], [0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1], [0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0], [1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0], [0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1], [1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1], [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]] -> [[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 0, 3, 3, 0, 3, 0, 3, 3, 0, 0, 0, 0, 3, 0], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 0, 3, 3, 3, 3, 0, 0, 3, 0, 3, 0, 0, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 0, 3, 0, 0, 3, 0, 0, 0, 3, 3, 3, 3, 3, 0], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 0, 3, 3, 0, 0, 0, 3, 3, 0, 0, 3, 0, 0, 0], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [0, 0, 0, 0, 3, 0, 0, 3, 3, 0, 3, 0, 3, 3, 0], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [0, 0, 0, 0, 0, 0, 3, 0, 3, 3, 3, 3, 3, 3, 0], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 0, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]]\nExample input-output arrays:\n[[1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0], [1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0], [0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0], [1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0], [0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1], [1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0], [0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0], [0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1], [0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0], [1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1], [0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1], [0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0], [1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1], [1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0], [2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2], [2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0], [0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0], [2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2], [2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0], [0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2], [0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0], [0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2], [0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0], [2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0], [0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2], [0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2], [0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0], [2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2], [0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0]] -> [[3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3], [3, 3, 3, 3, 0, 0, 0, 3, 3, 0, 3, 0, 0, 0, 0], [0, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0], [3, 3, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0], [3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 0, 3, 3, 3], [0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0], [0, 3, 3, 3, 3, 0, 3, 3, 3, 3, 0, 3, 3, 3, 0], [0, 3, 0, 0, 0, 0, 3, 3, 0, 3, 0, 0, 3, 0, 3], [0, 0, 3, 3, 0, 3, 0, 3, 3, 3, 3, 3, 0, 3, 0], [3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0], [0, 3, 0, 3, 3, 3, 0, 3, 3, 0, 3, 3, 3, 3, 3], [0, 0, 0, 0, 3, 3, 0, 3, 3, 0, 0, 0, 0, 0, 3], [0, 3, 0, 3, 3, 3, 3, 3, 0, 3, 0, 3, 3, 0, 0], [3, 0, 3, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 3], [3, 3, 0, 3, 3, 3, 3, 3, 3, 0, 3, 0, 3, 3, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0], [0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0], [1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1], [1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1], [0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1], [1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0], [1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0], [0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1], [1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1], [1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1], [0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1], [1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1], [1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1], [0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            0,
+                            0,
+                            1,
+                            0,
+                            0,
+                            1,
+                            1,
+                            1,
+                            0,
+                            0,
+                            1,
+                            1,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            1,
+                            1,
+                            0,
+                            1,
+                            1,
+                            1,
+                            0,
+                            0,
+                            1,
+                            1,
+                            1,
+                            1,
+                            0,
+                            0
+                        ],
+                        [
+                            1,
+                            1,
+                            1,
+                            0,
+                            0,
+                            0,
+                            1,
+                            1,
+                            1,
+                            0,
+                            0,
+                            0,
+                            1,
+                            1,
+                            1
+                        ],
+                        [
+                            1,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            1,
+                            0,
+                            1,
+                            1,
+                            1,
+                            0,
+                            1
+                        ],
+                        [
+                            0,
+                            1,
+                            0,
+                            1,
+                            0,
+                            0,
+                            1,
+                            1,
+                            0,
+                            0,
+                            1,
+                            0,
+                            1,
+                            0,
+                            1
+                        ],
+                        [
+                            1,
+                            0,
+                            0,
+                            0,
+                            0,
+                            1,
+                            1,
+                            0,
+                            0,
+                            0,
+                            1,
+                            0,
+                            1,
+                            0,
+                            0
+                        ],
+                        [
+                            1,
+                            1,
+                            0,
+                            1,
+                            0,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            0,
+                            0,
+                            1,
+                            1,
+                            0
+                        ],
+                        [
+                            0,
+                            1,
+                            0,
+                            1,
+                            1,
+                            0,
+                            1,
+                            1,
+                            1,
+                            0,
+                            0,
+                            1,
+                            1,
+                            1,
+                            1
+                        ],
+                        [
+                            1,
+                            0,
+                            1,
+                            0,
+                            0,
+                            0,
+                            1,
+                            0,
+                            0,
+                            1,
+                            0,
+                            0,
+                            0,
+                            1,
+                            1
+                        ],
+                        [
+                            1,
+                            1,
+                            1,
+                            0,
+                            0,
+                            0,
+                            1,
+                            0,
+                            0,
+                            0,
+                            1,
+                            1,
+                            1,
+                            0,
+                            1
+                        ],
+                        [
+                            0,
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+                            1,
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+                            1,
+                            1,
+                            1,
+                            1
+                        ],
+                        [
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+                            0,
+                            1
+                        ],
+                        [
+                            1,
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+                            0,
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+                            0,
+                            1,
+                            1,
+                            1
+                        ],
+                        [
+                            0,
+                            1,
+                            1,
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+                            1,
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+                            0,
+                            1,
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+                            0,
+                            0,
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+                            0
+                        ],
+                        [
+                            0,
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+                            0,
+                            0,
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+                            0,
+                            0,
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+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
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+                        [
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+                    ],
+                    "output": [
+                        [
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+                }
+            }
+        }
+    },
+    "SCMu3am!or!and!axis0!20x20": {
+        "L1": {
+            "Replicate 0": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 5, 0, 5, 5, 5, 0, 5, 0, 0, 0, 5, 0, 5, 0, 0, 5, 5, 5], [5, 0, 5, 5, 0, 0, 0, 5, 5, 5, 0, 5, 0, 5, 5, 0, 0, 0, 5, 0], [5, 0, 5, 5, 5, 5, 0, 0, 0, 5, 0, 0, 5, 5, 5, 0, 0, 5, 5, 5], [5, 0, 0, 5, 5, 0, 5, 5, 5, 5, 5, 5, 0, 0, 0, 0, 5, 5, 0, 5], [0, 5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 0, 0, 5, 0, 5, 0, 0, 0, 0], [0, 5, 0, 0, 0, 5, 5, 5, 0, 0, 5, 5, 0, 5, 5, 5, 5, 5, 0, 5], [0, 5, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 5, 0, 0, 5, 0, 0, 5], [0, 0, 5, 0, 5, 5, 5, 5, 5, 0, 0, 0, 0, 5, 5, 5, 5, 5, 0, 0], [5, 5, 0, 5, 0, 0, 5, 0, 0, 0, 5, 0, 5, 5, 0, 5, 0, 0, 0, 5], [0, 0, 5, 5, 0, 5, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0], [0, 5, 5, 5, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 0], [0, 5, 5, 5, 5, 5, 5, 5, 0, 5, 0, 5, 0, 0, 0, 5, 5, 0, 0, 0], [0, 5, 0, 0, 0, 5, 5, 5, 0, 0, 5, 0, 0, 0, 5, 5, 0, 0, 5, 0], [0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 5, 5, 0, 0, 5, 5, 0, 0, 5, 5], [0, 5, 0, 0, 0, 5, 0, 5, 5, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0, 0], [0, 5, 5, 0, 5, 5, 5, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 0, 5], [0, 0, 0, 0, 5, 5, 0, 5, 0, 5, 0, 5, 0, 5, 5, 0, 5, 0, 5, 5], [0, 0, 5, 5, 0, 0, 5, 0, 5, 0, 0, 5, 0, 5, 5, 5, 0, 5, 5, 5], [0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 5, 5, 5, 5, 0, 5], [5, 0, 5, 5, 0, 5, 0, 5, 0, 0, 0, 0, 0, 5, 0, 5, 0, 0, 5, 0], [0, 6, 0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 0, 0, 6, 0, 6, 6, 0, 6, 0, 0, 0, 6, 6, 0, 0, 6, 0], [0, 0, 6, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 0], [6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 0, 6], [6, 0, 0, 6, 6, 0, 0, 0, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6], [6, 6, 6, 0, 0, 0, 6, 6, 0, 0, 6, 0, 6, 6, 0, 6, 0, 6, 6, 6], [6, 6, 0, 0, 6, 6, 0, 6, 0, 0, 0, 6, 6, 6, 6, 0, 0, 6, 0, 0], [0, 0, 6, 0, 6, 0, 0, 0, 6, 0, 6, 0, 6, 6, 6, 6, 0, 6, 6, 6], [6, 6, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 0, 0, 6], [0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 0, 0, 6, 6, 6], [0, 6, 0, 6, 0, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6, 6, 0, 0, 6, 6], [0, 6, 6, 0, 6, 6, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 6, 0, 0, 6], [0, 0, 0, 0, 0, 0, 6, 0, 6, 6, 6, 0, 6, 6, 0, 6, 6, 6, 6, 0], [6, 6, 6, 6, 6, 0, 0, 6, 6, 0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0], [6, 0, 0, 6, 0, 0, 0, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6, 6, 6, 6], [6, 0, 0, 0, 6, 0, 6, 6, 6, 6, 6, 0, 0, 0, 6, 0, 6, 6, 6, 6], [6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 0, 6, 0, 6, 0], [0, 0, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 6, 6, 0, 6, 6, 0, 0, 6], [0, 0, 0, 6, 0, 0, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 6, 6, 0, 0, 0, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6, 0]] -> [[0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 0, 7, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0], [7, 0, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 0, 0, 7, 7, 0, 0, 0, 7, 0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 7], [7, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 0, 7], [0, 7, 0, 0, 0, 0, 7, 7, 0, 0, 7, 0, 0, 7, 0, 7, 0, 7, 0, 7], [7, 7, 0, 0, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 0, 7, 7, 0, 7], [0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 7, 7, 0, 7, 0, 0], [7, 7, 0, 7, 0, 0, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 0, 7], [0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0], [0, 7, 7, 7, 0, 0, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7, 7, 7], [0, 7, 7, 0, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0], [0, 7, 0, 0, 0, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 0], [0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0], [7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7], [0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7], [7, 0, 0, 0, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 0, 7, 0, 7, 7], [0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 7, 0, 0, 0, 7], [0, 0, 7, 7, 0, 0, 7, 0, 7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7], [7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0]]\nExample input-output arrays:\n[[5, 5, 0, 0, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 0, 0, 0, 0, 5, 0], [5, 5, 0, 0, 0, 5, 5, 0, 0, 5, 0, 5, 0, 0, 0, 5, 5, 0, 5, 5], [5, 5, 5, 5, 5, 5, 5, 0, 0, 5, 0, 0, 0, 5, 5, 0, 5, 0, 0, 5], [0, 5, 5, 5, 5, 0, 0, 5, 5, 0, 5, 5, 0, 5, 5, 0, 0, 5, 0, 0], [0, 5, 5, 0, 0, 0, 0, 0, 0, 5, 5, 5, 5, 0, 0, 0, 5, 0, 5, 0], [0, 5, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0], [0, 5, 5, 5, 5, 0, 0, 0, 5, 5, 5, 0, 0, 0, 5, 0, 5, 5, 5, 5], [0, 0, 0, 5, 5, 0, 0, 0, 0, 5, 0, 5, 5, 0, 5, 5, 5, 5, 0, 0], [0, 5, 0, 5, 5, 5, 5, 5, 5, 0, 5, 0, 5, 0, 0, 5, 0, 5, 5, 5], [5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 5, 0, 0, 5, 5, 5, 5, 5, 5, 5], [0, 5, 0, 0, 0, 0, 0, 0, 5, 5, 0, 5, 5, 0, 0, 5, 0, 5, 5, 0], [0, 5, 0, 0, 0, 0, 0, 5, 5, 0, 0, 5, 5, 5, 0, 5, 5, 5, 0, 5], [5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 5, 5, 0], [0, 0, 5, 0, 0, 5, 0, 5, 0, 5, 0, 5, 0, 5, 0, 0, 5, 5, 5, 0], [5, 0, 5, 0, 5, 0, 5, 5, 5, 0, 5, 0, 5, 5, 0, 0, 5, 5, 0, 5], [5, 5, 5, 5, 5, 0, 5, 0, 5, 5, 0, 0, 5, 0, 5, 5, 0, 5, 5, 0], [0, 0, 5, 5, 0, 0, 5, 5, 0, 5, 0, 0, 5, 0, 5, 5, 0, 5, 0, 5], [0, 0, 5, 0, 5, 0, 0, 0, 5, 0, 0, 0, 5, 5, 5, 5, 5, 5, 0, 0], [5, 5, 5, 0, 0, 0, 5, 5, 0, 0, 5, 0, 0, 5, 5, 0, 0, 5, 0, 5], [5, 5, 5, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 5], [0, 0, 0, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0], [6, 0, 6, 0, 6, 0, 0, 6, 6, 6, 6, 6, 6, 0, 6, 0, 6, 0, 6, 6], [0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 6, 6, 6, 6, 6, 0, 0], [6, 0, 6, 0, 6, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 0, 6, 0, 0, 0], [0, 0, 0, 6, 6, 0, 6, 0, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 0], [6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 6, 6, 6, 0, 0, 0, 0], [0, 0, 6, 0, 6, 0, 6, 0, 0, 0, 6, 6, 0, 0, 0, 0, 6, 6, 0, 6], [0, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 6, 6], [0, 6, 0, 6, 0, 0, 0, 6, 0, 6, 6, 0, 0, 0, 6, 6, 0, 0, 0, 6], [6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 6, 0, 6, 0, 0, 0, 6, 0, 6, 0], [0, 6, 6, 0, 6, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 0, 6, 0, 0, 0], [0, 6, 6, 6, 6, 6, 0, 6, 0, 0, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6], [6, 6, 0, 0, 0, 6, 6, 6, 6, 0, 0, 6, 0, 6, 6, 0, 0, 6, 0, 6], [6, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 6, 0, 0, 6], [6, 6, 0, 6, 0, 6, 6, 0, 0, 0, 6, 0, 6, 0, 6, 6, 0, 0, 6, 0], [0, 6, 6, 6, 0, 6, 0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 6], [6, 6, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 6, 0], [0, 6, 0, 0, 6, 0, 0, 6, 0, 6, 6, 0, 0, 0, 6, 0, 0, 0, 0, 6], [6, 0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 0, 6, 0, 6, 0, 0, 6, 0]] -> [[7, 7, 0, 7, 7, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 7, 7, 0], [7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 0, 0, 7, 7, 7, 7, 7, 0, 7], [0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0], [0, 7, 7, 7, 7, 0, 7, 0, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 7, 7, 7, 0, 7, 0, 7, 7, 7, 7, 0, 0, 7, 0, 7, 7, 7, 7], [0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0], [0, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 7, 7, 0, 7, 7, 7], [7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0], [0, 7, 0, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7, 0, 0, 7, 7, 7, 7, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0], [7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 0, 7, 0, 7, 7, 7, 7, 7, 7, 7], [0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0], [7, 0, 7, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 0, 0, 7, 7, 0, 7], [7, 7, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0, 7, 7, 0, 0, 7, 0], [0, 7, 7, 7, 0, 7, 7, 7, 0, 7, 7, 0, 7, 0, 7, 7, 0, 7, 7, 7], [0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0], [7, 7, 7, 0, 7, 0, 7, 7, 0, 7, 7, 0, 0, 7, 7, 0, 0, 7, 0, 7], [7, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 5, 0, 5, 5, 5, 0, 5, 0, 0, 0, 5, 0, 5, 0, 0, 5, 5, 5], [5, 0, 5, 5, 0, 0, 0, 5, 5, 5, 0, 5, 0, 5, 5, 0, 0, 0, 5, 0], [5, 0, 5, 5, 5, 5, 0, 0, 0, 5, 0, 0, 5, 5, 5, 0, 0, 5, 5, 5], [5, 0, 0, 5, 5, 0, 5, 5, 5, 5, 5, 5, 0, 0, 0, 0, 5, 5, 0, 5], [0, 5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 0, 0, 5, 0, 5, 0, 0, 0, 0], [0, 5, 0, 0, 0, 5, 5, 5, 0, 0, 5, 5, 0, 5, 5, 5, 5, 5, 0, 5], [0, 5, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 5, 0, 0, 5, 0, 0, 5], [0, 0, 5, 0, 5, 5, 5, 5, 5, 0, 0, 0, 0, 5, 5, 5, 5, 5, 0, 0], [5, 5, 0, 5, 0, 0, 5, 0, 0, 0, 5, 0, 5, 5, 0, 5, 0, 0, 0, 5], [0, 0, 5, 5, 0, 5, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0], [0, 5, 5, 5, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 0], [0, 5, 5, 5, 5, 5, 5, 5, 0, 5, 0, 5, 0, 0, 0, 5, 5, 0, 0, 0], [0, 5, 0, 0, 0, 5, 5, 5, 0, 0, 5, 0, 0, 0, 5, 5, 0, 0, 5, 0], [0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 5, 5, 0, 0, 5, 5, 0, 0, 5, 5], [0, 5, 0, 0, 0, 5, 0, 5, 5, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0, 0], [0, 5, 5, 0, 5, 5, 5, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 0, 5], [0, 0, 0, 0, 5, 5, 0, 5, 0, 5, 0, 5, 0, 5, 5, 0, 5, 0, 5, 5], [0, 0, 5, 5, 0, 0, 5, 0, 5, 0, 0, 5, 0, 5, 5, 5, 0, 5, 5, 5], [0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 5, 5, 5, 5, 0, 5], [5, 0, 5, 5, 0, 5, 0, 5, 0, 0, 0, 0, 0, 5, 0, 5, 0, 0, 5, 0], [0, 6, 0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 0, 0, 6, 0, 6, 6, 0, 6, 0, 0, 0, 6, 6, 0, 0, 6, 0], [0, 0, 6, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 0], [6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 0, 6], [6, 0, 0, 6, 6, 0, 0, 0, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6], [6, 6, 6, 0, 0, 0, 6, 6, 0, 0, 6, 0, 6, 6, 0, 6, 0, 6, 6, 6], [6, 6, 0, 0, 6, 6, 0, 6, 0, 0, 0, 6, 6, 6, 6, 0, 0, 6, 0, 0], [0, 0, 6, 0, 6, 0, 0, 0, 6, 0, 6, 0, 6, 6, 6, 6, 0, 6, 6, 6], [6, 6, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 0, 0, 6], [0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 0, 0, 6, 6, 6], [0, 6, 0, 6, 0, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6, 6, 0, 0, 6, 6], [0, 6, 6, 0, 6, 6, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 6, 0, 0, 6], [0, 0, 0, 0, 0, 0, 6, 0, 6, 6, 6, 0, 6, 6, 0, 6, 6, 6, 6, 0], [6, 6, 6, 6, 6, 0, 0, 6, 6, 0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0], [6, 0, 0, 6, 0, 0, 0, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6, 6, 6, 6], [6, 0, 0, 0, 6, 0, 6, 6, 6, 6, 6, 0, 0, 0, 6, 0, 6, 6, 6, 6], [6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 0, 6, 0, 6, 0], [0, 0, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 6, 6, 0, 6, 6, 0, 0, 6], [0, 0, 0, 6, 0, 0, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 6, 6, 0, 0, 0, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6, 0]] -> [[0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 0, 7, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0], [7, 0, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 0, 0, 7, 7, 0, 0, 0, 7, 0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 7], [7, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 0, 7], [0, 7, 0, 0, 0, 0, 7, 7, 0, 0, 7, 0, 0, 7, 0, 7, 0, 7, 0, 7], [7, 7, 0, 0, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 0, 7, 7, 0, 7], [0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 7, 7, 0, 7, 0, 0], [7, 7, 0, 7, 0, 0, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 0, 7], [0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0], [0, 7, 7, 7, 0, 0, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7, 7, 7], [0, 7, 7, 0, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0], [0, 7, 0, 0, 0, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 0], [0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0], [7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7], [0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7], [7, 0, 0, 0, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 0, 7, 0, 7, 7], [0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 7, 0, 0, 0, 7], [0, 0, 7, 7, 0, 0, 7, 0, 7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7], [7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[5, 0, 0, 0, 5, 0, 5, 5, 0, 5, 0, 5, 0, 5, 0, 5, 0, 5, 0, 5], [5, 0, 5, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 5, 0], [0, 5, 5, 5, 0, 0, 5, 5, 0, 5, 0, 5, 0, 5, 0, 0, 5, 5, 0, 5], [0, 0, 5, 5, 5, 5, 5, 0, 0, 0, 0, 5, 0, 5, 5, 0, 0, 5, 5, 5], [0, 5, 0, 5, 0, 5, 0, 0, 0, 5, 5, 5, 5, 0, 0, 5, 5, 5, 0, 5], [5, 5, 5, 0, 5, 0, 0, 0, 0, 5, 5, 0, 5, 0, 0, 0, 0, 0, 0, 0], [0, 5, 5, 0, 0, 0, 5, 5, 0, 0, 5, 0, 5, 0, 0, 0, 0, 5, 0, 0], [5, 0, 0, 0, 5, 5, 0, 0, 0, 0, 5, 5, 0, 5, 5, 0, 5, 0, 0, 5], [0, 0, 0, 5, 0, 5, 5, 0, 0, 5, 0, 5, 5, 0, 5, 0, 5, 0, 0, 5], [0, 0, 0, 5, 5, 0, 5, 0, 5, 5, 5, 5, 0, 5, 5, 5, 5, 5, 5, 5], [0, 0, 0, 0, 0, 0, 5, 0, 0, 5, 0, 5, 0, 0, 0, 0, 0, 5, 0, 5], [5, 5, 5, 0, 0, 0, 5, 5, 0, 5, 5, 5, 5, 5, 5, 0, 5, 0, 0, 0], [5, 0, 5, 0, 5, 0, 5, 0, 5, 0, 5, 0, 0, 5, 5, 5, 0, 5, 5, 0], [0, 5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 5, 0, 0, 5, 5, 0, 0, 0, 0], [0, 5, 5, 5, 5, 5, 0, 0, 5, 5, 0, 5, 0, 5, 5, 0, 5, 0, 5, 0], [5, 0, 0, 0, 0, 5, 5, 0, 0, 5, 0, 0, 0, 5, 0, 5, 5, 5, 5, 5], [5, 0, 0, 0, 0, 5, 0, 5, 5, 5, 5, 0, 0, 5, 0, 5, 0, 0, 5, 5], [5, 0, 5, 0, 0, 0, 5, 5, 0, 0, 5, 5, 0, 0, 5, 0, 0, 5, 5, 5], [0, 5, 0, 0, 5, 5, 0, 0, 0, 5, 5, 5, 0, 0, 5, 0, 0, 5, 0, 5], [0, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 5, 5, 5, 5, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
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+            },
+            "Replicate 1": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[5, 5, 0, 0, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 0, 0, 0, 0, 5, 0], [5, 5, 0, 0, 0, 5, 5, 0, 0, 5, 0, 5, 0, 0, 0, 5, 5, 0, 5, 5], [5, 5, 5, 5, 5, 5, 5, 0, 0, 5, 0, 0, 0, 5, 5, 0, 5, 0, 0, 5], [0, 5, 5, 5, 5, 0, 0, 5, 5, 0, 5, 5, 0, 5, 5, 0, 0, 5, 0, 0], [0, 5, 5, 0, 0, 0, 0, 0, 0, 5, 5, 5, 5, 0, 0, 0, 5, 0, 5, 0], [0, 5, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0], [0, 5, 5, 5, 5, 0, 0, 0, 5, 5, 5, 0, 0, 0, 5, 0, 5, 5, 5, 5], [0, 0, 0, 5, 5, 0, 0, 0, 0, 5, 0, 5, 5, 0, 5, 5, 5, 5, 0, 0], [0, 5, 0, 5, 5, 5, 5, 5, 5, 0, 5, 0, 5, 0, 0, 5, 0, 5, 5, 5], [5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 5, 0, 0, 5, 5, 5, 5, 5, 5, 5], [0, 5, 0, 0, 0, 0, 0, 0, 5, 5, 0, 5, 5, 0, 0, 5, 0, 5, 5, 0], [0, 5, 0, 0, 0, 0, 0, 5, 5, 0, 0, 5, 5, 5, 0, 5, 5, 5, 0, 5], [5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 5, 5, 0], [0, 0, 5, 0, 0, 5, 0, 5, 0, 5, 0, 5, 0, 5, 0, 0, 5, 5, 5, 0], [5, 0, 5, 0, 5, 0, 5, 5, 5, 0, 5, 0, 5, 5, 0, 0, 5, 5, 0, 5], [5, 5, 5, 5, 5, 0, 5, 0, 5, 5, 0, 0, 5, 0, 5, 5, 0, 5, 5, 0], [0, 0, 5, 5, 0, 0, 5, 5, 0, 5, 0, 0, 5, 0, 5, 5, 0, 5, 0, 5], [0, 0, 5, 0, 5, 0, 0, 0, 5, 0, 0, 0, 5, 5, 5, 5, 5, 5, 0, 0], [5, 5, 5, 0, 0, 0, 5, 5, 0, 0, 5, 0, 0, 5, 5, 0, 0, 5, 0, 5], [5, 5, 5, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 5], [0, 0, 0, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0], [6, 0, 6, 0, 6, 0, 0, 6, 6, 6, 6, 6, 6, 0, 6, 0, 6, 0, 6, 6], [0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 6, 6, 6, 6, 6, 0, 0], [6, 0, 6, 0, 6, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 0, 6, 0, 0, 0], [0, 0, 0, 6, 6, 0, 6, 0, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 0], [6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 6, 6, 6, 0, 0, 0, 0], [0, 0, 6, 0, 6, 0, 6, 0, 0, 0, 6, 6, 0, 0, 0, 0, 6, 6, 0, 6], [0, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 6, 6], [0, 6, 0, 6, 0, 0, 0, 6, 0, 6, 6, 0, 0, 0, 6, 6, 0, 0, 0, 6], [6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 6, 0, 6, 0, 0, 0, 6, 0, 6, 0], [0, 6, 6, 0, 6, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 0, 6, 0, 0, 0], [0, 6, 6, 6, 6, 6, 0, 6, 0, 0, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6], [6, 6, 0, 0, 0, 6, 6, 6, 6, 0, 0, 6, 0, 6, 6, 0, 0, 6, 0, 6], [6, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 6, 0, 0, 6], [6, 6, 0, 6, 0, 6, 6, 0, 0, 0, 6, 0, 6, 0, 6, 6, 0, 0, 6, 0], [0, 6, 6, 6, 0, 6, 0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 6], [6, 6, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 6, 0], [0, 6, 0, 0, 6, 0, 0, 6, 0, 6, 6, 0, 0, 0, 6, 0, 0, 0, 0, 6], [6, 0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 0, 6, 0, 6, 0, 0, 6, 0]] -> [[7, 7, 0, 7, 7, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 7, 7, 0], [7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 0, 0, 7, 7, 7, 7, 7, 0, 7], [0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0], [0, 7, 7, 7, 7, 0, 7, 0, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 7, 7, 7, 0, 7, 0, 7, 7, 7, 7, 0, 0, 7, 0, 7, 7, 7, 7], [0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0], [0, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 7, 7, 0, 7, 7, 7], [7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0], [0, 7, 0, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7, 0, 0, 7, 7, 7, 7, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0], [7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 0, 7, 0, 7, 7, 7, 7, 7, 7, 7], [0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0], [7, 0, 7, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 0, 0, 7, 7, 0, 7], [7, 7, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0, 7, 7, 0, 0, 7, 0], [0, 7, 7, 7, 0, 7, 7, 7, 0, 7, 7, 0, 7, 0, 7, 7, 0, 7, 7, 7], [0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0], [7, 7, 7, 0, 7, 0, 7, 7, 0, 7, 7, 0, 0, 7, 7, 0, 0, 7, 0, 7], [7, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 5, 0, 5, 5, 5, 0, 5, 0, 0, 0, 5, 0, 5, 0, 0, 5, 5, 5], [5, 0, 5, 5, 0, 0, 0, 5, 5, 5, 0, 5, 0, 5, 5, 0, 0, 0, 5, 0], [5, 0, 5, 5, 5, 5, 0, 0, 0, 5, 0, 0, 5, 5, 5, 0, 0, 5, 5, 5], [5, 0, 0, 5, 5, 0, 5, 5, 5, 5, 5, 5, 0, 0, 0, 0, 5, 5, 0, 5], [0, 5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 0, 0, 5, 0, 5, 0, 0, 0, 0], [0, 5, 0, 0, 0, 5, 5, 5, 0, 0, 5, 5, 0, 5, 5, 5, 5, 5, 0, 5], [0, 5, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 5, 0, 0, 5, 0, 0, 5], [0, 0, 5, 0, 5, 5, 5, 5, 5, 0, 0, 0, 0, 5, 5, 5, 5, 5, 0, 0], [5, 5, 0, 5, 0, 0, 5, 0, 0, 0, 5, 0, 5, 5, 0, 5, 0, 0, 0, 5], [0, 0, 5, 5, 0, 5, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0], [0, 5, 5, 5, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 0], [0, 5, 5, 5, 5, 5, 5, 5, 0, 5, 0, 5, 0, 0, 0, 5, 5, 0, 0, 0], [0, 5, 0, 0, 0, 5, 5, 5, 0, 0, 5, 0, 0, 0, 5, 5, 0, 0, 5, 0], [0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 5, 5, 0, 0, 5, 5, 0, 0, 5, 5], [0, 5, 0, 0, 0, 5, 0, 5, 5, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0, 0], [0, 5, 5, 0, 5, 5, 5, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 0, 5], [0, 0, 0, 0, 5, 5, 0, 5, 0, 5, 0, 5, 0, 5, 5, 0, 5, 0, 5, 5], [0, 0, 5, 5, 0, 0, 5, 0, 5, 0, 0, 5, 0, 5, 5, 5, 0, 5, 5, 5], [0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 5, 5, 5, 5, 0, 5], [5, 0, 5, 5, 0, 5, 0, 5, 0, 0, 0, 0, 0, 5, 0, 5, 0, 0, 5, 0], [0, 6, 0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 0, 0, 6, 0, 6, 6, 0, 6, 0, 0, 0, 6, 6, 0, 0, 6, 0], [0, 0, 6, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 0], [6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 0, 6], [6, 0, 0, 6, 6, 0, 0, 0, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6], [6, 6, 6, 0, 0, 0, 6, 6, 0, 0, 6, 0, 6, 6, 0, 6, 0, 6, 6, 6], [6, 6, 0, 0, 6, 6, 0, 6, 0, 0, 0, 6, 6, 6, 6, 0, 0, 6, 0, 0], [0, 0, 6, 0, 6, 0, 0, 0, 6, 0, 6, 0, 6, 6, 6, 6, 0, 6, 6, 6], [6, 6, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 0, 0, 6], [0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 0, 0, 6, 6, 6], [0, 6, 0, 6, 0, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6, 6, 0, 0, 6, 6], [0, 6, 6, 0, 6, 6, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 6, 0, 0, 6], [0, 0, 0, 0, 0, 0, 6, 0, 6, 6, 6, 0, 6, 6, 0, 6, 6, 6, 6, 0], [6, 6, 6, 6, 6, 0, 0, 6, 6, 0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0], [6, 0, 0, 6, 0, 0, 0, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6, 6, 6, 6], [6, 0, 0, 0, 6, 0, 6, 6, 6, 6, 6, 0, 0, 0, 6, 0, 6, 6, 6, 6], [6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 0, 6, 0, 6, 0], [0, 0, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 6, 6, 0, 6, 6, 0, 0, 6], [0, 0, 0, 6, 0, 0, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 6, 6, 0, 0, 0, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6, 0]] -> [[0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 0, 7, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0], [7, 0, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 0, 0, 7, 7, 0, 0, 0, 7, 0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 7], [7, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 0, 7], [0, 7, 0, 0, 0, 0, 7, 7, 0, 0, 7, 0, 0, 7, 0, 7, 0, 7, 0, 7], [7, 7, 0, 0, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 0, 7, 7, 0, 7], [0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 7, 7, 0, 7, 0, 0], [7, 7, 0, 7, 0, 0, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 0, 7], [0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0], [0, 7, 7, 7, 0, 0, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7, 7, 7], [0, 7, 7, 0, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0], [0, 7, 0, 0, 0, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 0], [0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0], [7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7], [0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7], [7, 0, 0, 0, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 0, 7, 0, 7, 7], [0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 7, 0, 0, 0, 7], [0, 0, 7, 7, 0, 0, 7, 0, 7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7], [7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0]]\nExample input-output arrays:\n[[0, 5, 0, 0, 5, 5, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 5, 5, 0, 0], [0, 5, 5, 5, 0, 5, 5, 5, 0, 0, 5, 0, 5, 5, 0, 5, 5, 0, 5, 5], [5, 0, 0, 5, 0, 0, 5, 5, 0, 0, 0, 5, 0, 0, 5, 0, 0, 5, 0, 0], [5, 0, 0, 5, 5, 5, 5, 0, 0, 5, 5, 5, 5, 0, 0, 5, 5, 0, 5, 5], [0, 5, 0, 5, 0, 5, 5, 5, 5, 5, 0, 0, 0, 5, 5, 5, 0, 5, 0, 5], [0, 5, 5, 5, 5, 5, 0, 5, 5, 5, 5, 5, 5, 0, 0, 0, 5, 5, 0, 0], [5, 0, 5, 0, 5, 0, 0, 0, 5, 5, 0, 5, 5, 0, 5, 0, 5, 5, 5, 5], [5, 5, 5, 5, 0, 5, 0, 5, 5, 0, 0, 5, 0, 0, 0, 5, 5, 0, 5, 5], [0, 5, 5, 5, 5, 5, 5, 5, 0, 5, 0, 0, 0, 0, 5, 0, 0, 5, 0, 0], [5, 5, 5, 0, 0, 5, 5, 0, 5, 5, 5, 0, 0, 0, 0, 0, 5, 0, 0, 5], [5, 0, 0, 0, 5, 5, 5, 5, 0, 5, 0, 0, 5, 5, 5, 0, 5, 5, 5, 5], [5, 5, 5, 5, 0, 0, 5, 5, 5, 5, 0, 5, 5, 5, 5, 5, 0, 0, 0, 0], [0, 5, 5, 5, 5, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 5, 5, 0, 5, 5], [0, 0, 0, 5, 0, 5, 0, 5, 0, 5, 0, 5, 0, 5, 5, 0, 0, 5, 0, 0], [0, 0, 5, 5, 0, 5, 0, 5, 5, 0, 5, 0, 0, 0, 0, 5, 0, 0, 5, 5], [0, 0, 5, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 5, 0, 5, 5, 0, 5, 5], [0, 5, 0, 5, 5, 0, 5, 5, 5, 0, 0, 0, 0, 0, 5, 0, 5, 0, 5, 5], [5, 0, 0, 0, 5, 0, 0, 5, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 5, 5], [0, 5, 5, 0, 5, 0, 0, 5, 5, 5, 5, 0, 5, 5, 0, 5, 5, 0, 5, 0], [0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0, 5, 5, 0], [6, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 6, 6, 0, 6], [0, 0, 6, 6, 0, 6, 0, 0, 6, 6, 6, 0, 6, 0, 6, 6, 0, 0, 0, 0], [0, 6, 6, 6, 6, 6, 0, 0, 6, 6, 6, 6, 0, 6, 0, 0, 0, 0, 0, 0], [0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0], [0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6], [0, 6, 0, 6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0], [0, 6, 0, 6, 0, 6, 6, 0, 0, 0, 6, 0, 0, 6, 6, 6, 6, 0, 6, 6], [0, 0, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0, 6], [6, 0, 0, 6, 6, 6, 0, 0, 6, 6, 0, 6, 0, 6, 6, 6, 6, 0, 0, 6], [0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6, 0, 6, 6, 0, 0, 0, 6, 6, 6], [6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 6, 6, 0, 0], [0, 0, 0, 0, 0, 6, 0, 6, 0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 6, 6], [0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 0, 6, 6, 6, 6, 0, 0, 0, 6, 6], [0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 6, 0, 0, 6, 6, 6, 0], [6, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0, 6, 0, 0, 6, 6], [6, 0, 6, 0, 0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 6, 0, 6, 0, 0, 0], [6, 6, 0, 6, 6, 6, 0, 0, 6, 6, 0, 6, 0, 0, 6, 0, 0, 0, 6, 6], [6, 0, 0, 6, 6, 0, 6, 0, 0, 0, 6, 0, 6, 0, 6, 0, 0, 6, 6, 0], [0, 0, 6, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 0, 0, 0], [6, 0, 6, 6, 6, 6, 6, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6, 6, 0, 6]] -> [[7, 7, 0, 0, 7, 7, 0, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7], [0, 0, 7, 7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 0, 0, 7, 0, 0, 0, 0], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 0, 0, 7, 0, 0], [0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 7], [0, 7, 0, 7, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0], [7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 7, 7, 0, 7, 0, 7, 7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 7, 7, 7, 7, 7, 0, 7], [0, 7, 7, 0, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7], [7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7], [0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0], [0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7], [0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0], [7, 0, 7, 7, 7, 7, 0, 7, 7, 7, 7, 0, 0, 0, 0, 7, 0, 0, 7, 7], [0, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0], [7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 7, 0, 7, 0, 7, 7], [7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0], [0, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 0], [0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0], [0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1], [1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0], [1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1], [0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1], [0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0], [1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1], [1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1], [0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0], [1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1], [1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1], [1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0], [0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1], [0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0], [0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1], [0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1], [0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1], [1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1], [0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0], [6, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 6, 6, 0, 6], [0, 0, 6, 6, 0, 6, 0, 0, 6, 6, 6, 0, 6, 0, 6, 6, 0, 0, 0, 0], [0, 6, 6, 6, 6, 6, 0, 0, 6, 6, 6, 6, 0, 6, 0, 0, 0, 0, 0, 0], [0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0], [0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6], [0, 6, 0, 6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0], [0, 6, 0, 6, 0, 6, 6, 0, 0, 0, 6, 0, 0, 6, 6, 6, 6, 0, 6, 6], [0, 0, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0, 6], [6, 0, 0, 6, 6, 6, 0, 0, 6, 6, 0, 6, 0, 6, 6, 6, 6, 0, 0, 6], [0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6, 0, 6, 6, 0, 0, 0, 6, 6, 6], [6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 6, 6, 0, 0], [0, 0, 0, 0, 0, 6, 0, 6, 0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 6, 6], [0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 0, 6, 6, 6, 6, 0, 0, 0, 6, 6], [0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 6, 0, 0, 6, 6, 6, 0], [6, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0, 6, 0, 0, 6, 6], [6, 0, 6, 0, 0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 6, 0, 6, 0, 0, 0], [6, 6, 0, 6, 6, 6, 0, 0, 6, 6, 0, 6, 0, 0, 6, 0, 0, 0, 6, 6], [6, 0, 0, 6, 6, 0, 6, 0, 0, 0, 6, 0, 6, 0, 6, 0, 0, 6, 6, 0], [0, 0, 6, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 0, 0, 0], [6, 0, 6, 6, 6, 6, 6, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6, 6, 0, 6]] -> ",
+                "test": {
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+                        ]
+                    ],
+                    "output": [
+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                    ]
+                }
+            },
+            "Replicate 2": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[5, 5, 0, 0, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 0, 0, 0, 0, 5, 0], [5, 5, 0, 0, 0, 5, 5, 0, 0, 5, 0, 5, 0, 0, 0, 5, 5, 0, 5, 5], [5, 5, 5, 5, 5, 5, 5, 0, 0, 5, 0, 0, 0, 5, 5, 0, 5, 0, 0, 5], [0, 5, 5, 5, 5, 0, 0, 5, 5, 0, 5, 5, 0, 5, 5, 0, 0, 5, 0, 0], [0, 5, 5, 0, 0, 0, 0, 0, 0, 5, 5, 5, 5, 0, 0, 0, 5, 0, 5, 0], [0, 5, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0], [0, 5, 5, 5, 5, 0, 0, 0, 5, 5, 5, 0, 0, 0, 5, 0, 5, 5, 5, 5], [0, 0, 0, 5, 5, 0, 0, 0, 0, 5, 0, 5, 5, 0, 5, 5, 5, 5, 0, 0], [0, 5, 0, 5, 5, 5, 5, 5, 5, 0, 5, 0, 5, 0, 0, 5, 0, 5, 5, 5], [5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 5, 0, 0, 5, 5, 5, 5, 5, 5, 5], [0, 5, 0, 0, 0, 0, 0, 0, 5, 5, 0, 5, 5, 0, 0, 5, 0, 5, 5, 0], [0, 5, 0, 0, 0, 0, 0, 5, 5, 0, 0, 5, 5, 5, 0, 5, 5, 5, 0, 5], [5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 5, 5, 0], [0, 0, 5, 0, 0, 5, 0, 5, 0, 5, 0, 5, 0, 5, 0, 0, 5, 5, 5, 0], [5, 0, 5, 0, 5, 0, 5, 5, 5, 0, 5, 0, 5, 5, 0, 0, 5, 5, 0, 5], [5, 5, 5, 5, 5, 0, 5, 0, 5, 5, 0, 0, 5, 0, 5, 5, 0, 5, 5, 0], [0, 0, 5, 5, 0, 0, 5, 5, 0, 5, 0, 0, 5, 0, 5, 5, 0, 5, 0, 5], [0, 0, 5, 0, 5, 0, 0, 0, 5, 0, 0, 0, 5, 5, 5, 5, 5, 5, 0, 0], [5, 5, 5, 0, 0, 0, 5, 5, 0, 0, 5, 0, 0, 5, 5, 0, 0, 5, 0, 5], [5, 5, 5, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 5], [0, 0, 0, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0], [6, 0, 6, 0, 6, 0, 0, 6, 6, 6, 6, 6, 6, 0, 6, 0, 6, 0, 6, 6], [0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 6, 6, 6, 6, 6, 0, 0], [6, 0, 6, 0, 6, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 0, 6, 0, 0, 0], [0, 0, 0, 6, 6, 0, 6, 0, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 0], [6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 6, 6, 6, 0, 0, 0, 0], [0, 0, 6, 0, 6, 0, 6, 0, 0, 0, 6, 6, 0, 0, 0, 0, 6, 6, 0, 6], [0, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 6, 6], [0, 6, 0, 6, 0, 0, 0, 6, 0, 6, 6, 0, 0, 0, 6, 6, 0, 0, 0, 6], [6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 6, 0, 6, 0, 0, 0, 6, 0, 6, 0], [0, 6, 6, 0, 6, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 0, 6, 0, 0, 0], [0, 6, 6, 6, 6, 6, 0, 6, 0, 0, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6], [6, 6, 0, 0, 0, 6, 6, 6, 6, 0, 0, 6, 0, 6, 6, 0, 0, 6, 0, 6], [6, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 6, 0, 0, 6], [6, 6, 0, 6, 0, 6, 6, 0, 0, 0, 6, 0, 6, 0, 6, 6, 0, 0, 6, 0], [0, 6, 6, 6, 0, 6, 0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 6], [6, 6, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 6, 0], [0, 6, 0, 0, 6, 0, 0, 6, 0, 6, 6, 0, 0, 0, 6, 0, 0, 0, 0, 6], [6, 0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 0, 6, 0, 6, 0, 0, 6, 0]] -> [[7, 7, 0, 7, 7, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 7, 7, 0], [7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 0, 0, 7, 7, 7, 7, 7, 0, 7], [0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0], [0, 7, 7, 7, 7, 0, 7, 0, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 7, 7, 7, 0, 7, 0, 7, 7, 7, 7, 0, 0, 7, 0, 7, 7, 7, 7], [0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0], [0, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 7, 7, 0, 7, 7, 7], [7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0], [0, 7, 0, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7, 0, 0, 7, 7, 7, 7, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0], [7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 0, 7, 0, 7, 7, 7, 7, 7, 7, 7], [0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0], [7, 0, 7, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 0, 0, 7, 7, 0, 7], [7, 7, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0, 7, 7, 0, 0, 7, 0], [0, 7, 7, 7, 0, 7, 7, 7, 0, 7, 7, 0, 7, 0, 7, 7, 0, 7, 7, 7], [0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0], [7, 7, 7, 0, 7, 0, 7, 7, 0, 7, 7, 0, 0, 7, 7, 0, 0, 7, 0, 7], [7, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[5, 5, 5, 5, 0, 0, 5, 0, 5, 0, 5, 5, 5, 0, 0, 5, 0, 5, 5, 5], [5, 0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 0, 5, 5, 0, 5, 5, 0, 0, 5], [0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 5, 0, 5, 0, 5, 0, 0, 5, 5, 5], [5, 0, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0, 5, 0, 5, 0, 0, 0, 5], [5, 0, 5, 0, 5, 0, 0, 0, 0, 0, 5, 0, 5, 5, 0, 5, 0, 5, 0, 0], [0, 5, 5, 5, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 5, 0, 0, 0, 0], [0, 0, 5, 0, 0, 5, 5, 5, 0, 0, 5, 0, 5, 5, 0, 5, 0, 0, 0, 0], [5, 0, 0, 0, 5, 0, 0, 5, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 5, 5], [0, 5, 5, 5, 5, 0, 5, 5, 0, 0, 5, 5, 5, 0, 0, 5, 5, 0, 5, 5], [0, 0, 0, 0, 0, 5, 5, 0, 5, 0, 0, 5, 5, 5, 5, 0, 5, 5, 5, 0], [0, 5, 0, 0, 5, 5, 0, 0, 5, 5, 0, 0, 0, 5, 5, 0, 5, 0, 0, 5], [5, 5, 5, 5, 0, 5, 5, 0, 0, 5, 0, 0, 5, 0, 0, 5, 5, 0, 0, 5], [0, 5, 5, 0, 5, 5, 5, 5, 5, 0, 0, 0, 5, 0, 5, 0, 5, 0, 0, 0], [0, 5, 0, 5, 5, 5, 5, 5, 5, 5, 5, 0, 5, 5, 5, 0, 5, 0, 0, 0], [5, 0, 0, 5, 0, 5, 0, 0, 0, 0, 5, 5, 5, 5, 0, 5, 0, 0, 0, 0], [0, 5, 0, 5, 0, 0, 0, 5, 5, 5, 0, 5, 5, 0, 0, 5, 0, 0, 0, 0], [5, 0, 0, 5, 0, 5, 5, 5, 5, 5, 5, 5, 0, 5, 5, 0, 5, 5, 5, 5], [5, 5, 0, 0, 0, 5, 5, 0, 0, 5, 5, 0, 5, 5, 0, 5, 0, 5, 0, 0], [5, 5, 5, 0, 5, 5, 0, 5, 0, 5, 5, 0, 0, 5, 5, 0, 5, 0, 0, 0], [5, 0, 5, 5, 0, 0, 5, 5, 5, 0, 0, 5, 0, 0, 5, 0, 5, 5, 5, 0], [0, 0, 6, 6, 6, 0, 6, 0, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 0], [6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 0, 6, 0, 0, 0, 6, 0, 6, 6, 6], [6, 6, 0, 6, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 6], [6, 6, 6, 6, 0, 0, 6, 6, 6, 6, 0, 6, 6, 0, 6, 0, 6, 0, 6, 0], [0, 6, 6, 0, 6, 6, 0, 6, 6, 6, 6, 6, 0, 0, 0, 6, 6, 6, 6, 6], [0, 0, 6, 6, 0, 0, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 0, 6, 0, 6], [0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 0, 6, 0, 0, 0, 0, 6, 0, 0], [6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 0], [6, 6, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6, 6, 6, 6, 0, 6, 0, 0, 6], [6, 0, 6, 6, 0, 6, 0, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6], [0, 0, 6, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6], [6, 6, 0, 0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 0], [0, 6, 0, 6, 6, 0, 6, 0, 6, 6, 0, 6, 0, 6, 6, 0, 6, 0, 6, 6], [6, 6, 0, 0, 6, 6, 0, 0, 0, 0, 6, 6, 0, 6, 6, 0, 6, 6, 6, 0], [0, 6, 6, 0, 0, 6, 0, 0, 6, 6, 0, 0, 0, 6, 0, 6, 6, 0, 6, 6], [0, 6, 6, 6, 6, 6, 0, 6, 0, 0, 0, 0, 0, 6, 0, 0, 6, 0, 0, 0], [0, 6, 0, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 0, 6, 6, 0, 6, 6, 0], [6, 6, 0, 6, 0, 0, 0, 6, 0, 6, 0, 6, 0, 0, 0, 6, 0, 6, 0, 0], [6, 6, 0, 0, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 6, 0, 0, 0], [0, 6, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 0, 0, 6, 6, 0, 6, 0, 0]] -> [[7, 7, 7, 7, 7, 0, 7, 0, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7], [7, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7], [7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [7, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7], [0, 0, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0], [0, 0, 7, 0, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 0, 7, 0, 7, 0, 0], [7, 0, 0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0], [7, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7], [0, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0, 7, 7, 7, 0], [0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7], [7, 7, 0, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 0, 7, 0, 7, 7], [0, 7, 0, 0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 7, 7, 0, 7, 0, 0, 0], [7, 7, 7, 7, 0, 7, 0, 0, 7, 7, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7], [0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0, 7, 0, 0], [7, 7, 7, 0, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 0, 0, 0], [0, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0]]\nExample input-output arrays:\n[[5, 5, 0, 0, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 0, 0, 0, 0, 5, 0], [5, 5, 0, 0, 0, 5, 5, 0, 0, 5, 0, 5, 0, 0, 0, 5, 5, 0, 5, 5], [5, 5, 5, 5, 5, 5, 5, 0, 0, 5, 0, 0, 0, 5, 5, 0, 5, 0, 0, 5], [0, 5, 5, 5, 5, 0, 0, 5, 5, 0, 5, 5, 0, 5, 5, 0, 0, 5, 0, 0], [0, 5, 5, 0, 0, 0, 0, 0, 0, 5, 5, 5, 5, 0, 0, 0, 5, 0, 5, 0], [0, 5, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0], [0, 5, 5, 5, 5, 0, 0, 0, 5, 5, 5, 0, 0, 0, 5, 0, 5, 5, 5, 5], [0, 0, 0, 5, 5, 0, 0, 0, 0, 5, 0, 5, 5, 0, 5, 5, 5, 5, 0, 0], [0, 5, 0, 5, 5, 5, 5, 5, 5, 0, 5, 0, 5, 0, 0, 5, 0, 5, 5, 5], [5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 5, 0, 0, 5, 5, 5, 5, 5, 5, 5], [0, 5, 0, 0, 0, 0, 0, 0, 5, 5, 0, 5, 5, 0, 0, 5, 0, 5, 5, 0], [0, 5, 0, 0, 0, 0, 0, 5, 5, 0, 0, 5, 5, 5, 0, 5, 5, 5, 0, 5], [5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 5, 5, 0], [0, 0, 5, 0, 0, 5, 0, 5, 0, 5, 0, 5, 0, 5, 0, 0, 5, 5, 5, 0], [5, 0, 5, 0, 5, 0, 5, 5, 5, 0, 5, 0, 5, 5, 0, 0, 5, 5, 0, 5], [5, 5, 5, 5, 5, 0, 5, 0, 5, 5, 0, 0, 5, 0, 5, 5, 0, 5, 5, 0], [0, 0, 5, 5, 0, 0, 5, 5, 0, 5, 0, 0, 5, 0, 5, 5, 0, 5, 0, 5], [0, 0, 5, 0, 5, 0, 0, 0, 5, 0, 0, 0, 5, 5, 5, 5, 5, 5, 0, 0], [5, 5, 5, 0, 0, 0, 5, 5, 0, 0, 5, 0, 0, 5, 5, 0, 0, 5, 0, 5], [5, 5, 5, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 5], [0, 0, 0, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0], [6, 0, 6, 0, 6, 0, 0, 6, 6, 6, 6, 6, 6, 0, 6, 0, 6, 0, 6, 6], [0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 6, 6, 6, 6, 6, 0, 0], [6, 0, 6, 0, 6, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 0, 6, 0, 0, 0], [0, 0, 0, 6, 6, 0, 6, 0, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 0], [6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 6, 6, 6, 0, 0, 0, 0], [0, 0, 6, 0, 6, 0, 6, 0, 0, 0, 6, 6, 0, 0, 0, 0, 6, 6, 0, 6], [0, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 6, 6], [0, 6, 0, 6, 0, 0, 0, 6, 0, 6, 6, 0, 0, 0, 6, 6, 0, 0, 0, 6], [6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 6, 0, 6, 0, 0, 0, 6, 0, 6, 0], [0, 6, 6, 0, 6, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 0, 6, 0, 0, 0], [0, 6, 6, 6, 6, 6, 0, 6, 0, 0, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6], [6, 6, 0, 0, 0, 6, 6, 6, 6, 0, 0, 6, 0, 6, 6, 0, 0, 6, 0, 6], [6, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 6, 0, 0, 6], [6, 6, 0, 6, 0, 6, 6, 0, 0, 0, 6, 0, 6, 0, 6, 6, 0, 0, 6, 0], [0, 6, 6, 6, 0, 6, 0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 6], [6, 6, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 6, 0], [0, 6, 0, 0, 6, 0, 0, 6, 0, 6, 6, 0, 0, 0, 6, 0, 0, 0, 0, 6], [6, 0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 0, 6, 0, 6, 0, 0, 6, 0]] -> [[7, 7, 0, 7, 7, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 7, 7, 0], [7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 0, 0, 7, 7, 7, 7, 7, 0, 7], [0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0], [0, 7, 7, 7, 7, 0, 7, 0, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 7, 7, 7, 0, 7, 0, 7, 7, 7, 7, 0, 0, 7, 0, 7, 7, 7, 7], [0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0], [0, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 7, 7, 0, 7, 7, 7], [7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0], [0, 7, 0, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7, 0, 0, 7, 7, 7, 7, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0], [7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 0, 7, 0, 7, 7, 7, 7, 7, 7, 7], [0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0], [7, 0, 7, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 0, 0, 7, 7, 0, 7], [7, 7, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0, 7, 7, 0, 0, 7, 0], [0, 7, 7, 7, 0, 7, 7, 7, 0, 7, 7, 0, 7, 0, 7, 7, 0, 7, 7, 7], [0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0], [7, 7, 7, 0, 7, 0, 7, 7, 0, 7, 7, 0, 0, 7, 7, 0, 0, 7, 0, 7], [7, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0], [2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2], [2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2], [0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0], [0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0], [0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2], [0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0], [0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2], [2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2], [0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0], [0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2], [2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0], [0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0], [2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2], [2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0], [0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2], [0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0], [2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2], [2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2], [0, 0, 0, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0], [6, 0, 6, 0, 6, 0, 0, 6, 6, 6, 6, 6, 6, 0, 6, 0, 6, 0, 6, 6], [0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 6, 6, 6, 6, 6, 0, 0], [6, 0, 6, 0, 6, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 0, 6, 0, 0, 0], [0, 0, 0, 6, 6, 0, 6, 0, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 0], [6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 6, 6, 6, 0, 0, 0, 0], [0, 0, 6, 0, 6, 0, 6, 0, 0, 0, 6, 6, 0, 0, 0, 0, 6, 6, 0, 6], [0, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 6, 6], [0, 6, 0, 6, 0, 0, 0, 6, 0, 6, 6, 0, 0, 0, 6, 6, 0, 0, 0, 6], [6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 6, 0, 6, 0, 0, 0, 6, 0, 6, 0], [0, 6, 6, 0, 6, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 0, 6, 0, 0, 0], [0, 6, 6, 6, 6, 6, 0, 6, 0, 0, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6], [6, 6, 0, 0, 0, 6, 6, 6, 6, 0, 0, 6, 0, 6, 6, 0, 0, 6, 0, 6], [6, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 6, 0, 0, 6], [6, 6, 0, 6, 0, 6, 6, 0, 0, 0, 6, 0, 6, 0, 6, 6, 0, 0, 6, 0], [0, 6, 6, 6, 0, 6, 0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 6], [6, 6, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 6, 0], [0, 6, 0, 0, 6, 0, 0, 6, 0, 6, 6, 0, 0, 0, 6, 0, 0, 0, 0, 6], [6, 0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 0, 6, 0, 6, 0, 0, 6, 0]] -> ",
+                "test": {
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+                }
+            },
+            "Replicate 3": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 5, 0, 0, 5, 5, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 5, 5, 0, 0], [0, 5, 5, 5, 0, 5, 5, 5, 0, 0, 5, 0, 5, 5, 0, 5, 5, 0, 5, 5], [5, 0, 0, 5, 0, 0, 5, 5, 0, 0, 0, 5, 0, 0, 5, 0, 0, 5, 0, 0], [5, 0, 0, 5, 5, 5, 5, 0, 0, 5, 5, 5, 5, 0, 0, 5, 5, 0, 5, 5], [0, 5, 0, 5, 0, 5, 5, 5, 5, 5, 0, 0, 0, 5, 5, 5, 0, 5, 0, 5], [0, 5, 5, 5, 5, 5, 0, 5, 5, 5, 5, 5, 5, 0, 0, 0, 5, 5, 0, 0], [5, 0, 5, 0, 5, 0, 0, 0, 5, 5, 0, 5, 5, 0, 5, 0, 5, 5, 5, 5], [5, 5, 5, 5, 0, 5, 0, 5, 5, 0, 0, 5, 0, 0, 0, 5, 5, 0, 5, 5], [0, 5, 5, 5, 5, 5, 5, 5, 0, 5, 0, 0, 0, 0, 5, 0, 0, 5, 0, 0], [5, 5, 5, 0, 0, 5, 5, 0, 5, 5, 5, 0, 0, 0, 0, 0, 5, 0, 0, 5], [5, 0, 0, 0, 5, 5, 5, 5, 0, 5, 0, 0, 5, 5, 5, 0, 5, 5, 5, 5], [5, 5, 5, 5, 0, 0, 5, 5, 5, 5, 0, 5, 5, 5, 5, 5, 0, 0, 0, 0], [0, 5, 5, 5, 5, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 5, 5, 0, 5, 5], [0, 0, 0, 5, 0, 5, 0, 5, 0, 5, 0, 5, 0, 5, 5, 0, 0, 5, 0, 0], [0, 0, 5, 5, 0, 5, 0, 5, 5, 0, 5, 0, 0, 0, 0, 5, 0, 0, 5, 5], [0, 0, 5, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 5, 0, 5, 5, 0, 5, 5], [0, 5, 0, 5, 5, 0, 5, 5, 5, 0, 0, 0, 0, 0, 5, 0, 5, 0, 5, 5], [5, 0, 0, 0, 5, 0, 0, 5, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 5, 5], [0, 5, 5, 0, 5, 0, 0, 5, 5, 5, 5, 0, 5, 5, 0, 5, 5, 0, 5, 0], [0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0, 5, 5, 0], [6, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 6, 6, 0, 6], [0, 0, 6, 6, 0, 6, 0, 0, 6, 6, 6, 0, 6, 0, 6, 6, 0, 0, 0, 0], [0, 6, 6, 6, 6, 6, 0, 0, 6, 6, 6, 6, 0, 6, 0, 0, 0, 0, 0, 0], [0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0], [0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6], [0, 6, 0, 6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0], [0, 6, 0, 6, 0, 6, 6, 0, 0, 0, 6, 0, 0, 6, 6, 6, 6, 0, 6, 6], [0, 0, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0, 6], [6, 0, 0, 6, 6, 6, 0, 0, 6, 6, 0, 6, 0, 6, 6, 6, 6, 0, 0, 6], [0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6, 0, 6, 6, 0, 0, 0, 6, 6, 6], [6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 6, 6, 0, 0], [0, 0, 0, 0, 0, 6, 0, 6, 0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 6, 6], [0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 0, 6, 6, 6, 6, 0, 0, 0, 6, 6], [0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 6, 0, 0, 6, 6, 6, 0], [6, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0, 6, 0, 0, 6, 6], [6, 0, 6, 0, 0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 6, 0, 6, 0, 0, 0], [6, 6, 0, 6, 6, 6, 0, 0, 6, 6, 0, 6, 0, 0, 6, 0, 0, 0, 6, 6], [6, 0, 0, 6, 6, 0, 6, 0, 0, 0, 6, 0, 6, 0, 6, 0, 0, 6, 6, 0], [0, 0, 6, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 0, 0, 0], [6, 0, 6, 6, 6, 6, 6, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6, 6, 0, 6]] -> [[7, 7, 0, 0, 7, 7, 0, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7], [0, 0, 7, 7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 0, 0, 7, 0, 0, 0, 0], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 0, 0, 7, 0, 0], [0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 7], [0, 7, 0, 7, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0], [7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 7, 7, 0, 7, 0, 7, 7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 7, 7, 7, 7, 7, 0, 7], [0, 7, 7, 0, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7], [7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7], [0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0], [0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7], [0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0], [7, 0, 7, 7, 7, 7, 0, 7, 7, 7, 7, 0, 0, 0, 0, 7, 0, 0, 7, 7], [0, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0], [7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 7, 0, 7, 0, 7, 7], [7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0], [0, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 0], [0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0]]\nExample input-output arrays:\n[[0, 5, 0, 0, 5, 5, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 5, 5, 0, 0], [0, 5, 5, 5, 0, 5, 5, 5, 0, 0, 5, 0, 5, 5, 0, 5, 5, 0, 5, 5], [5, 0, 0, 5, 0, 0, 5, 5, 0, 0, 0, 5, 0, 0, 5, 0, 0, 5, 0, 0], [5, 0, 0, 5, 5, 5, 5, 0, 0, 5, 5, 5, 5, 0, 0, 5, 5, 0, 5, 5], [0, 5, 0, 5, 0, 5, 5, 5, 5, 5, 0, 0, 0, 5, 5, 5, 0, 5, 0, 5], [0, 5, 5, 5, 5, 5, 0, 5, 5, 5, 5, 5, 5, 0, 0, 0, 5, 5, 0, 0], [5, 0, 5, 0, 5, 0, 0, 0, 5, 5, 0, 5, 5, 0, 5, 0, 5, 5, 5, 5], [5, 5, 5, 5, 0, 5, 0, 5, 5, 0, 0, 5, 0, 0, 0, 5, 5, 0, 5, 5], [0, 5, 5, 5, 5, 5, 5, 5, 0, 5, 0, 0, 0, 0, 5, 0, 0, 5, 0, 0], [5, 5, 5, 0, 0, 5, 5, 0, 5, 5, 5, 0, 0, 0, 0, 0, 5, 0, 0, 5], [5, 0, 0, 0, 5, 5, 5, 5, 0, 5, 0, 0, 5, 5, 5, 0, 5, 5, 5, 5], [5, 5, 5, 5, 0, 0, 5, 5, 5, 5, 0, 5, 5, 5, 5, 5, 0, 0, 0, 0], [0, 5, 5, 5, 5, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 5, 5, 0, 5, 5], [0, 0, 0, 5, 0, 5, 0, 5, 0, 5, 0, 5, 0, 5, 5, 0, 0, 5, 0, 0], [0, 0, 5, 5, 0, 5, 0, 5, 5, 0, 5, 0, 0, 0, 0, 5, 0, 0, 5, 5], [0, 0, 5, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 5, 0, 5, 5, 0, 5, 5], [0, 5, 0, 5, 5, 0, 5, 5, 5, 0, 0, 0, 0, 0, 5, 0, 5, 0, 5, 5], [5, 0, 0, 0, 5, 0, 0, 5, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 5, 5], [0, 5, 5, 0, 5, 0, 0, 5, 5, 5, 5, 0, 5, 5, 0, 5, 5, 0, 5, 0], [0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0, 5, 5, 0], [6, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 6, 6, 0, 6], [0, 0, 6, 6, 0, 6, 0, 0, 6, 6, 6, 0, 6, 0, 6, 6, 0, 0, 0, 0], [0, 6, 6, 6, 6, 6, 0, 0, 6, 6, 6, 6, 0, 6, 0, 0, 0, 0, 0, 0], [0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0], [0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6], [0, 6, 0, 6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0], [0, 6, 0, 6, 0, 6, 6, 0, 0, 0, 6, 0, 0, 6, 6, 6, 6, 0, 6, 6], [0, 0, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0, 6], [6, 0, 0, 6, 6, 6, 0, 0, 6, 6, 0, 6, 0, 6, 6, 6, 6, 0, 0, 6], [0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6, 0, 6, 6, 0, 0, 0, 6, 6, 6], [6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 6, 6, 0, 0], [0, 0, 0, 0, 0, 6, 0, 6, 0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 6, 6], [0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 0, 6, 6, 6, 6, 0, 0, 0, 6, 6], [0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 6, 0, 0, 6, 6, 6, 0], [6, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0, 6, 0, 0, 6, 6], [6, 0, 6, 0, 0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 6, 0, 6, 0, 0, 0], [6, 6, 0, 6, 6, 6, 0, 0, 6, 6, 0, 6, 0, 0, 6, 0, 0, 0, 6, 6], [6, 0, 0, 6, 6, 0, 6, 0, 0, 0, 6, 0, 6, 0, 6, 0, 0, 6, 6, 0], [0, 0, 6, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 0, 0, 0], [6, 0, 6, 6, 6, 6, 6, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6, 6, 0, 6]] -> [[7, 7, 0, 0, 7, 7, 0, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7], [0, 0, 7, 7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 0, 0, 7, 0, 0, 0, 0], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 0, 0, 7, 0, 0], [0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 7], [0, 7, 0, 7, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0], [7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 7, 7, 0, 7, 0, 7, 7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 7, 7, 7, 7, 7, 0, 7], [0, 7, 7, 0, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7], [7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7], [0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0], [0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7], [0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0], [7, 0, 7, 7, 7, 7, 0, 7, 7, 7, 7, 0, 0, 0, 0, 7, 0, 0, 7, 7], [0, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0], [7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 7, 0, 7, 0, 7, 7], [7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0], [0, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 0], [0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0]]\nExample input-output arrays:\n[[0, 0, 5, 0, 5, 5, 5, 0, 5, 0, 0, 0, 5, 0, 5, 0, 0, 5, 5, 5], [5, 0, 5, 5, 0, 0, 0, 5, 5, 5, 0, 5, 0, 5, 5, 0, 0, 0, 5, 0], [5, 0, 5, 5, 5, 5, 0, 0, 0, 5, 0, 0, 5, 5, 5, 0, 0, 5, 5, 5], [5, 0, 0, 5, 5, 0, 5, 5, 5, 5, 5, 5, 0, 0, 0, 0, 5, 5, 0, 5], [0, 5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 0, 0, 5, 0, 5, 0, 0, 0, 0], [0, 5, 0, 0, 0, 5, 5, 5, 0, 0, 5, 5, 0, 5, 5, 5, 5, 5, 0, 5], [0, 5, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 5, 0, 0, 5, 0, 0, 5], [0, 0, 5, 0, 5, 5, 5, 5, 5, 0, 0, 0, 0, 5, 5, 5, 5, 5, 0, 0], [5, 5, 0, 5, 0, 0, 5, 0, 0, 0, 5, 0, 5, 5, 0, 5, 0, 0, 0, 5], [0, 0, 5, 5, 0, 5, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0], [0, 5, 5, 5, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 0], [0, 5, 5, 5, 5, 5, 5, 5, 0, 5, 0, 5, 0, 0, 0, 5, 5, 0, 0, 0], [0, 5, 0, 0, 0, 5, 5, 5, 0, 0, 5, 0, 0, 0, 5, 5, 0, 0, 5, 0], [0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 5, 5, 0, 0, 5, 5, 0, 0, 5, 5], [0, 5, 0, 0, 0, 5, 0, 5, 5, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0, 0], [0, 5, 5, 0, 5, 5, 5, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 0, 5], [0, 0, 0, 0, 5, 5, 0, 5, 0, 5, 0, 5, 0, 5, 5, 0, 5, 0, 5, 5], [0, 0, 5, 5, 0, 0, 5, 0, 5, 0, 0, 5, 0, 5, 5, 5, 0, 5, 5, 5], [0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 5, 5, 5, 5, 0, 5], [5, 0, 5, 5, 0, 5, 0, 5, 0, 0, 0, 0, 0, 5, 0, 5, 0, 0, 5, 0], [0, 6, 0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 0, 0, 6, 0, 6, 6, 0, 6, 0, 0, 0, 6, 6, 0, 0, 6, 0], [0, 0, 6, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 0], [6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 0, 6], [6, 0, 0, 6, 6, 0, 0, 0, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6], [6, 6, 6, 0, 0, 0, 6, 6, 0, 0, 6, 0, 6, 6, 0, 6, 0, 6, 6, 6], [6, 6, 0, 0, 6, 6, 0, 6, 0, 0, 0, 6, 6, 6, 6, 0, 0, 6, 0, 0], [0, 0, 6, 0, 6, 0, 0, 0, 6, 0, 6, 0, 6, 6, 6, 6, 0, 6, 6, 6], [6, 6, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 0, 0, 6], [0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 0, 0, 6, 6, 6], [0, 6, 0, 6, 0, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6, 6, 0, 0, 6, 6], [0, 6, 6, 0, 6, 6, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 6, 0, 0, 6], [0, 0, 0, 0, 0, 0, 6, 0, 6, 6, 6, 0, 6, 6, 0, 6, 6, 6, 6, 0], [6, 6, 6, 6, 6, 0, 0, 6, 6, 0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0], [6, 0, 0, 6, 0, 0, 0, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6, 6, 6, 6], [6, 0, 0, 0, 6, 0, 6, 6, 6, 6, 6, 0, 0, 0, 6, 0, 6, 6, 6, 6], [6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 0, 6, 0, 6, 0], [0, 0, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 6, 6, 0, 6, 6, 0, 0, 6], [0, 0, 0, 6, 0, 0, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 6, 6, 0, 0, 0, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6, 0]] -> [[0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 0, 7, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0], [7, 0, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 0, 0, 7, 7, 0, 0, 0, 7, 0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 7], [7, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 0, 7], [0, 7, 0, 0, 0, 0, 7, 7, 0, 0, 7, 0, 0, 7, 0, 7, 0, 7, 0, 7], [7, 7, 0, 0, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 0, 7, 7, 0, 7], [0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 7, 7, 0, 7, 0, 0], [7, 7, 0, 7, 0, 0, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 0, 7], [0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0], [0, 7, 7, 7, 0, 0, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7, 7, 7], [0, 7, 7, 0, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0], [0, 7, 0, 0, 0, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 0], [0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0], [7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7], [0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7], [7, 0, 0, 0, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 0, 7, 0, 7, 7], [0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 7, 0, 0, 0, 7], [0, 0, 7, 7, 0, 0, 7, 0, 7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7], [7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2], [2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0], [2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2], [2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2], [0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0], [0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2], [0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2], [0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0], [2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2], [0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0], [0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0], [0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2], [0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0], [0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2], [0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2], [0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2], [0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2], [2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0], [0, 6, 0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 0, 0, 6, 0, 6, 6, 0, 6, 0, 0, 0, 6, 6, 0, 0, 6, 0], [0, 0, 6, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 0], [6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 0, 6], [6, 0, 0, 6, 6, 0, 0, 0, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6], [6, 6, 6, 0, 0, 0, 6, 6, 0, 0, 6, 0, 6, 6, 0, 6, 0, 6, 6, 6], [6, 6, 0, 0, 6, 6, 0, 6, 0, 0, 0, 6, 6, 6, 6, 0, 0, 6, 0, 0], [0, 0, 6, 0, 6, 0, 0, 0, 6, 0, 6, 0, 6, 6, 6, 6, 0, 6, 6, 6], [6, 6, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 0, 0, 6], [0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 0, 0, 6, 6, 6], [0, 6, 0, 6, 0, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6, 6, 0, 0, 6, 6], [0, 6, 6, 0, 6, 6, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 6, 0, 0, 6], [0, 0, 0, 0, 0, 0, 6, 0, 6, 6, 6, 0, 6, 6, 0, 6, 6, 6, 6, 0], [6, 6, 6, 6, 6, 0, 0, 6, 6, 0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0], [6, 0, 0, 6, 0, 0, 0, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6, 6, 6, 6], [6, 0, 0, 0, 6, 0, 6, 6, 6, 6, 6, 0, 0, 0, 6, 0, 6, 6, 6, 6], [6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 0, 6, 0, 6, 0], [0, 0, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 6, 6, 0, 6, 6, 0, 0, 6], [0, 0, 0, 6, 0, 0, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 6, 6, 0, 0, 0, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6, 0]] -> ",
+                "test": {
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+                    ],
+                    "output": [
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+                        [
+                            7,
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                    ]
+                }
+            },
+            "Replicate 4": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[5, 5, 0, 0, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 0, 0, 0, 0, 5, 0], [5, 5, 0, 0, 0, 5, 5, 0, 0, 5, 0, 5, 0, 0, 0, 5, 5, 0, 5, 5], [5, 5, 5, 5, 5, 5, 5, 0, 0, 5, 0, 0, 0, 5, 5, 0, 5, 0, 0, 5], [0, 5, 5, 5, 5, 0, 0, 5, 5, 0, 5, 5, 0, 5, 5, 0, 0, 5, 0, 0], [0, 5, 5, 0, 0, 0, 0, 0, 0, 5, 5, 5, 5, 0, 0, 0, 5, 0, 5, 0], [0, 5, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0], [0, 5, 5, 5, 5, 0, 0, 0, 5, 5, 5, 0, 0, 0, 5, 0, 5, 5, 5, 5], [0, 0, 0, 5, 5, 0, 0, 0, 0, 5, 0, 5, 5, 0, 5, 5, 5, 5, 0, 0], [0, 5, 0, 5, 5, 5, 5, 5, 5, 0, 5, 0, 5, 0, 0, 5, 0, 5, 5, 5], [5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 5, 0, 0, 5, 5, 5, 5, 5, 5, 5], [0, 5, 0, 0, 0, 0, 0, 0, 5, 5, 0, 5, 5, 0, 0, 5, 0, 5, 5, 0], [0, 5, 0, 0, 0, 0, 0, 5, 5, 0, 0, 5, 5, 5, 0, 5, 5, 5, 0, 5], [5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 5, 5, 0], [0, 0, 5, 0, 0, 5, 0, 5, 0, 5, 0, 5, 0, 5, 0, 0, 5, 5, 5, 0], [5, 0, 5, 0, 5, 0, 5, 5, 5, 0, 5, 0, 5, 5, 0, 0, 5, 5, 0, 5], [5, 5, 5, 5, 5, 0, 5, 0, 5, 5, 0, 0, 5, 0, 5, 5, 0, 5, 5, 0], [0, 0, 5, 5, 0, 0, 5, 5, 0, 5, 0, 0, 5, 0, 5, 5, 0, 5, 0, 5], [0, 0, 5, 0, 5, 0, 0, 0, 5, 0, 0, 0, 5, 5, 5, 5, 5, 5, 0, 0], [5, 5, 5, 0, 0, 0, 5, 5, 0, 0, 5, 0, 0, 5, 5, 0, 0, 5, 0, 5], [5, 5, 5, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 5], [0, 0, 0, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0], [6, 0, 6, 0, 6, 0, 0, 6, 6, 6, 6, 6, 6, 0, 6, 0, 6, 0, 6, 6], [0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 6, 6, 6, 6, 6, 0, 0], [6, 0, 6, 0, 6, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 0, 6, 0, 0, 0], [0, 0, 0, 6, 6, 0, 6, 0, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 0], [6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 6, 6, 6, 0, 0, 0, 0], [0, 0, 6, 0, 6, 0, 6, 0, 0, 0, 6, 6, 0, 0, 0, 0, 6, 6, 0, 6], [0, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 6, 6], [0, 6, 0, 6, 0, 0, 0, 6, 0, 6, 6, 0, 0, 0, 6, 6, 0, 0, 0, 6], [6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 6, 0, 6, 0, 0, 0, 6, 0, 6, 0], [0, 6, 6, 0, 6, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 0, 6, 0, 0, 0], [0, 6, 6, 6, 6, 6, 0, 6, 0, 0, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6], [6, 6, 0, 0, 0, 6, 6, 6, 6, 0, 0, 6, 0, 6, 6, 0, 0, 6, 0, 6], [6, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 6, 0, 0, 6], [6, 6, 0, 6, 0, 6, 6, 0, 0, 0, 6, 0, 6, 0, 6, 6, 0, 0, 6, 0], [0, 6, 6, 6, 0, 6, 0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 6], [6, 6, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 6, 0], [0, 6, 0, 0, 6, 0, 0, 6, 0, 6, 6, 0, 0, 0, 6, 0, 0, 0, 0, 6], [6, 0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 0, 6, 0, 6, 0, 0, 6, 0]] -> [[7, 7, 0, 7, 7, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 7, 7, 0], [7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 0, 0, 7, 7, 7, 7, 7, 0, 7], [0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0], [0, 7, 7, 7, 7, 0, 7, 0, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 7, 7, 7, 0, 7, 0, 7, 7, 7, 7, 0, 0, 7, 0, 7, 7, 7, 7], [0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0], [0, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 7, 7, 0, 7, 7, 7], [7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0], [0, 7, 0, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7, 0, 0, 7, 7, 7, 7, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0], [7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 0, 7, 0, 7, 7, 7, 7, 7, 7, 7], [0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0], [7, 0, 7, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 0, 0, 7, 7, 0, 7], [7, 7, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0, 7, 7, 0, 0, 7, 0], [0, 7, 7, 7, 0, 7, 7, 7, 0, 7, 7, 0, 7, 0, 7, 7, 0, 7, 7, 7], [0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0], [7, 7, 7, 0, 7, 0, 7, 7, 0, 7, 7, 0, 0, 7, 7, 0, 0, 7, 0, 7], [7, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 5, 0, 5, 5, 5, 0, 5, 0, 0, 0, 5, 0, 5, 0, 0, 5, 5, 5], [5, 0, 5, 5, 0, 0, 0, 5, 5, 5, 0, 5, 0, 5, 5, 0, 0, 0, 5, 0], [5, 0, 5, 5, 5, 5, 0, 0, 0, 5, 0, 0, 5, 5, 5, 0, 0, 5, 5, 5], [5, 0, 0, 5, 5, 0, 5, 5, 5, 5, 5, 5, 0, 0, 0, 0, 5, 5, 0, 5], [0, 5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 0, 0, 5, 0, 5, 0, 0, 0, 0], [0, 5, 0, 0, 0, 5, 5, 5, 0, 0, 5, 5, 0, 5, 5, 5, 5, 5, 0, 5], [0, 5, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 5, 0, 0, 5, 0, 0, 5], [0, 0, 5, 0, 5, 5, 5, 5, 5, 0, 0, 0, 0, 5, 5, 5, 5, 5, 0, 0], [5, 5, 0, 5, 0, 0, 5, 0, 0, 0, 5, 0, 5, 5, 0, 5, 0, 0, 0, 5], [0, 0, 5, 5, 0, 5, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0], [0, 5, 5, 5, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 0], [0, 5, 5, 5, 5, 5, 5, 5, 0, 5, 0, 5, 0, 0, 0, 5, 5, 0, 0, 0], [0, 5, 0, 0, 0, 5, 5, 5, 0, 0, 5, 0, 0, 0, 5, 5, 0, 0, 5, 0], [0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 5, 5, 0, 0, 5, 5, 0, 0, 5, 5], [0, 5, 0, 0, 0, 5, 0, 5, 5, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0, 0], [0, 5, 5, 0, 5, 5, 5, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 0, 5], [0, 0, 0, 0, 5, 5, 0, 5, 0, 5, 0, 5, 0, 5, 5, 0, 5, 0, 5, 5], [0, 0, 5, 5, 0, 0, 5, 0, 5, 0, 0, 5, 0, 5, 5, 5, 0, 5, 5, 5], [0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 5, 5, 5, 5, 0, 5], [5, 0, 5, 5, 0, 5, 0, 5, 0, 0, 0, 0, 0, 5, 0, 5, 0, 0, 5, 0], [0, 6, 0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 0, 0, 6, 0, 6, 6, 0, 6, 0, 0, 0, 6, 6, 0, 0, 6, 0], [0, 0, 6, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 0], [6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 0, 6], [6, 0, 0, 6, 6, 0, 0, 0, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6], [6, 6, 6, 0, 0, 0, 6, 6, 0, 0, 6, 0, 6, 6, 0, 6, 0, 6, 6, 6], [6, 6, 0, 0, 6, 6, 0, 6, 0, 0, 0, 6, 6, 6, 6, 0, 0, 6, 0, 0], [0, 0, 6, 0, 6, 0, 0, 0, 6, 0, 6, 0, 6, 6, 6, 6, 0, 6, 6, 6], [6, 6, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 0, 0, 6], [0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 0, 0, 6, 6, 6], [0, 6, 0, 6, 0, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6, 6, 0, 0, 6, 6], [0, 6, 6, 0, 6, 6, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 6, 0, 0, 6], [0, 0, 0, 0, 0, 0, 6, 0, 6, 6, 6, 0, 6, 6, 0, 6, 6, 6, 6, 0], [6, 6, 6, 6, 6, 0, 0, 6, 6, 0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0], [6, 0, 0, 6, 0, 0, 0, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6, 6, 6, 6], [6, 0, 0, 0, 6, 0, 6, 6, 6, 6, 6, 0, 0, 0, 6, 0, 6, 6, 6, 6], [6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 0, 6, 0, 6, 0], [0, 0, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 6, 6, 0, 6, 6, 0, 0, 6], [0, 0, 0, 6, 0, 0, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 6, 6, 0, 0, 0, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6, 0]] -> [[0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 0, 7, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0], [7, 0, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 0, 0, 7, 7, 0, 0, 0, 7, 0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 7], [7, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 0, 7], [0, 7, 0, 0, 0, 0, 7, 7, 0, 0, 7, 0, 0, 7, 0, 7, 0, 7, 0, 7], [7, 7, 0, 0, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 0, 7, 7, 0, 7], [0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 7, 7, 0, 7, 0, 0], [7, 7, 0, 7, 0, 0, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 0, 7], [0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0], [0, 7, 7, 7, 0, 0, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7, 7, 7], [0, 7, 7, 0, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0], [0, 7, 0, 0, 0, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 0], [0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0], [7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7], [0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7], [7, 0, 0, 0, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 0, 7, 0, 7, 7], [0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 7, 0, 0, 0, 7], [0, 0, 7, 7, 0, 0, 7, 0, 7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7], [7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0]]\nExample input-output arrays:\n[[0, 0, 5, 0, 5, 5, 5, 0, 5, 0, 0, 0, 5, 0, 5, 0, 0, 5, 5, 5], [5, 0, 5, 5, 0, 0, 0, 5, 5, 5, 0, 5, 0, 5, 5, 0, 0, 0, 5, 0], [5, 0, 5, 5, 5, 5, 0, 0, 0, 5, 0, 0, 5, 5, 5, 0, 0, 5, 5, 5], [5, 0, 0, 5, 5, 0, 5, 5, 5, 5, 5, 5, 0, 0, 0, 0, 5, 5, 0, 5], [0, 5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 0, 0, 5, 0, 5, 0, 0, 0, 0], [0, 5, 0, 0, 0, 5, 5, 5, 0, 0, 5, 5, 0, 5, 5, 5, 5, 5, 0, 5], [0, 5, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 5, 0, 0, 5, 0, 0, 5], [0, 0, 5, 0, 5, 5, 5, 5, 5, 0, 0, 0, 0, 5, 5, 5, 5, 5, 0, 0], [5, 5, 0, 5, 0, 0, 5, 0, 0, 0, 5, 0, 5, 5, 0, 5, 0, 0, 0, 5], [0, 0, 5, 5, 0, 5, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0], [0, 5, 5, 5, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 0], [0, 5, 5, 5, 5, 5, 5, 5, 0, 5, 0, 5, 0, 0, 0, 5, 5, 0, 0, 0], [0, 5, 0, 0, 0, 5, 5, 5, 0, 0, 5, 0, 0, 0, 5, 5, 0, 0, 5, 0], [0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 5, 5, 0, 0, 5, 5, 0, 0, 5, 5], [0, 5, 0, 0, 0, 5, 0, 5, 5, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0, 0], [0, 5, 5, 0, 5, 5, 5, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 0, 5], [0, 0, 0, 0, 5, 5, 0, 5, 0, 5, 0, 5, 0, 5, 5, 0, 5, 0, 5, 5], [0, 0, 5, 5, 0, 0, 5, 0, 5, 0, 0, 5, 0, 5, 5, 5, 0, 5, 5, 5], [0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 5, 5, 5, 5, 0, 5], [5, 0, 5, 5, 0, 5, 0, 5, 0, 0, 0, 0, 0, 5, 0, 5, 0, 0, 5, 0], [0, 6, 0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 0, 0, 6, 0, 6, 6, 0, 6, 0, 0, 0, 6, 6, 0, 0, 6, 0], [0, 0, 6, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 0], [6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 0, 6], [6, 0, 0, 6, 6, 0, 0, 0, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6], [6, 6, 6, 0, 0, 0, 6, 6, 0, 0, 6, 0, 6, 6, 0, 6, 0, 6, 6, 6], [6, 6, 0, 0, 6, 6, 0, 6, 0, 0, 0, 6, 6, 6, 6, 0, 0, 6, 0, 0], [0, 0, 6, 0, 6, 0, 0, 0, 6, 0, 6, 0, 6, 6, 6, 6, 0, 6, 6, 6], [6, 6, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 0, 0, 6], [0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 0, 0, 6, 6, 6], [0, 6, 0, 6, 0, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6, 6, 0, 0, 6, 6], [0, 6, 6, 0, 6, 6, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 6, 0, 0, 6], [0, 0, 0, 0, 0, 0, 6, 0, 6, 6, 6, 0, 6, 6, 0, 6, 6, 6, 6, 0], [6, 6, 6, 6, 6, 0, 0, 6, 6, 0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0], [6, 0, 0, 6, 0, 0, 0, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6, 6, 6, 6], [6, 0, 0, 0, 6, 0, 6, 6, 6, 6, 6, 0, 0, 0, 6, 0, 6, 6, 6, 6], [6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 0, 6, 0, 6, 0], [0, 0, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 6, 6, 0, 6, 6, 0, 0, 6], [0, 0, 0, 6, 0, 0, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 6, 6, 0, 0, 0, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6, 0]] -> [[0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 0, 7, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0], [7, 0, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 0, 0, 7, 7, 0, 0, 0, 7, 0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 7], [7, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 0, 7], [0, 7, 0, 0, 0, 0, 7, 7, 0, 0, 7, 0, 0, 7, 0, 7, 0, 7, 0, 7], [7, 7, 0, 0, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 0, 7, 7, 0, 7], [0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 7, 7, 0, 7, 0, 0], [7, 7, 0, 7, 0, 0, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 0, 7], [0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0], [0, 7, 7, 7, 0, 0, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7, 7, 7], [0, 7, 7, 0, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0], [0, 7, 0, 0, 0, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 0], [0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0], [7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7], [0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7], [7, 0, 0, 0, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 0, 7, 0, 7, 7], [0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 7, 0, 0, 0, 7], [0, 0, 7, 7, 0, 0, 7, 0, 7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7], [7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2], [2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0], [2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2], [2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2], [0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0], [0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2], [0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2], [0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0], [2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2], [0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0], [0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0], [0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2], [0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0], [0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2], [0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2], [0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2], [0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2], [2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0], [0, 6, 0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 0, 0, 6, 0, 6, 6, 0, 6, 0, 0, 0, 6, 6, 0, 0, 6, 0], [0, 0, 6, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 0], [6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 0, 6], [6, 0, 0, 6, 6, 0, 0, 0, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6], [6, 6, 6, 0, 0, 0, 6, 6, 0, 0, 6, 0, 6, 6, 0, 6, 0, 6, 6, 6], [6, 6, 0, 0, 6, 6, 0, 6, 0, 0, 0, 6, 6, 6, 6, 0, 0, 6, 0, 0], [0, 0, 6, 0, 6, 0, 0, 0, 6, 0, 6, 0, 6, 6, 6, 6, 0, 6, 6, 6], [6, 6, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 0, 0, 6], [0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 0, 0, 6, 6, 6], [0, 6, 0, 6, 0, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6, 6, 0, 0, 6, 6], [0, 6, 6, 0, 6, 6, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 6, 0, 0, 6], [0, 0, 0, 0, 0, 0, 6, 0, 6, 6, 6, 0, 6, 6, 0, 6, 6, 6, 6, 0], [6, 6, 6, 6, 6, 0, 0, 6, 6, 0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0], [6, 0, 0, 6, 0, 0, 0, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6, 6, 6, 6], [6, 0, 0, 0, 6, 0, 6, 6, 6, 6, 6, 0, 0, 0, 6, 0, 6, 6, 6, 6], [6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 0, 6, 0, 6, 0], [0, 0, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 6, 6, 0, 6, 6, 0, 0, 6], [0, 0, 0, 6, 0, 0, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 6, 6, 0, 0, 0, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6, 0]] -> ",
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+                }
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+        },
+        "L3": {
+            "Replicate 0": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 5, 0, 5, 5, 5, 0, 5, 0, 0, 0, 5, 0, 5, 0, 0, 5, 5, 5], [5, 0, 5, 5, 0, 0, 0, 5, 5, 5, 0, 5, 0, 5, 5, 0, 0, 0, 5, 0], [5, 0, 5, 5, 5, 5, 0, 0, 0, 5, 0, 0, 5, 5, 5, 0, 0, 5, 5, 5], [5, 0, 0, 5, 5, 0, 5, 5, 5, 5, 5, 5, 0, 0, 0, 0, 5, 5, 0, 5], [0, 5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 0, 0, 5, 0, 5, 0, 0, 0, 0], [0, 5, 0, 0, 0, 5, 5, 5, 0, 0, 5, 5, 0, 5, 5, 5, 5, 5, 0, 5], [0, 5, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 5, 0, 0, 5, 0, 0, 5], [0, 0, 5, 0, 5, 5, 5, 5, 5, 0, 0, 0, 0, 5, 5, 5, 5, 5, 0, 0], [5, 5, 0, 5, 0, 0, 5, 0, 0, 0, 5, 0, 5, 5, 0, 5, 0, 0, 0, 5], [0, 0, 5, 5, 0, 5, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0], [0, 5, 5, 5, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 0], [0, 5, 5, 5, 5, 5, 5, 5, 0, 5, 0, 5, 0, 0, 0, 5, 5, 0, 0, 0], [0, 5, 0, 0, 0, 5, 5, 5, 0, 0, 5, 0, 0, 0, 5, 5, 0, 0, 5, 0], [0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 5, 5, 0, 0, 5, 5, 0, 0, 5, 5], [0, 5, 0, 0, 0, 5, 0, 5, 5, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0, 0], [0, 5, 5, 0, 5, 5, 5, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 0, 5], [0, 0, 0, 0, 5, 5, 0, 5, 0, 5, 0, 5, 0, 5, 5, 0, 5, 0, 5, 5], [0, 0, 5, 5, 0, 0, 5, 0, 5, 0, 0, 5, 0, 5, 5, 5, 0, 5, 5, 5], [0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 5, 5, 5, 5, 0, 5], [5, 0, 5, 5, 0, 5, 0, 5, 0, 0, 0, 0, 0, 5, 0, 5, 0, 0, 5, 0], [0, 6, 0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 0, 0, 6, 0, 6, 6, 0, 6, 0, 0, 0, 6, 6, 0, 0, 6, 0], [0, 0, 6, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 0], [6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 0, 6], [6, 0, 0, 6, 6, 0, 0, 0, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6], [6, 6, 6, 0, 0, 0, 6, 6, 0, 0, 6, 0, 6, 6, 0, 6, 0, 6, 6, 6], [6, 6, 0, 0, 6, 6, 0, 6, 0, 0, 0, 6, 6, 6, 6, 0, 0, 6, 0, 0], [0, 0, 6, 0, 6, 0, 0, 0, 6, 0, 6, 0, 6, 6, 6, 6, 0, 6, 6, 6], [6, 6, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 0, 0, 6], [0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 0, 0, 6, 6, 6], [0, 6, 0, 6, 0, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6, 6, 0, 0, 6, 6], [0, 6, 6, 0, 6, 6, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 6, 0, 0, 6], [0, 0, 0, 0, 0, 0, 6, 0, 6, 6, 6, 0, 6, 6, 0, 6, 6, 6, 6, 0], [6, 6, 6, 6, 6, 0, 0, 6, 6, 0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0], [6, 0, 0, 6, 0, 0, 0, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6, 6, 6, 6], [6, 0, 0, 0, 6, 0, 6, 6, 6, 6, 6, 0, 0, 0, 6, 0, 6, 6, 6, 6], [6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 0, 6, 0, 6, 0], [0, 0, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 6, 6, 0, 6, 6, 0, 0, 6], [0, 0, 0, 6, 0, 0, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 6, 6, 0, 0, 0, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6, 0]] -> [[0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 0, 7, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0], [7, 0, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 0, 0, 7, 7, 0, 0, 0, 7, 0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 7], [7, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 0, 7], [0, 7, 0, 0, 0, 0, 7, 7, 0, 0, 7, 0, 0, 7, 0, 7, 0, 7, 0, 7], [7, 7, 0, 0, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 0, 7, 7, 0, 7], [0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 7, 7, 0, 7, 0, 0], [7, 7, 0, 7, 0, 0, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 0, 7], [0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0], [0, 7, 7, 7, 0, 0, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7, 7, 7], [0, 7, 7, 0, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0], [0, 7, 0, 0, 0, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 0], [0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0], [7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7], [0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7], [7, 0, 0, 0, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 0, 7, 0, 7, 7], [0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 7, 0, 0, 0, 7], [0, 0, 7, 7, 0, 0, 7, 0, 7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7], [7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2], [2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0], [2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2], [2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2], [0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0], [0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2], [0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2], [0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0], [2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2], [0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0], [0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0], [0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2], [0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0], [0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2], [0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2], [0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2], [0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2], [2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0], [0, 6, 0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 0, 0, 6, 0, 6, 6, 0, 6, 0, 0, 0, 6, 6, 0, 0, 6, 0], [0, 0, 6, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 0], [6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 0, 6], [6, 0, 0, 6, 6, 0, 0, 0, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6], [6, 6, 6, 0, 0, 0, 6, 6, 0, 0, 6, 0, 6, 6, 0, 6, 0, 6, 6, 6], [6, 6, 0, 0, 6, 6, 0, 6, 0, 0, 0, 6, 6, 6, 6, 0, 0, 6, 0, 0], [0, 0, 6, 0, 6, 0, 0, 0, 6, 0, 6, 0, 6, 6, 6, 6, 0, 6, 6, 6], [6, 6, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 0, 0, 6], [0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 0, 0, 6, 6, 6], [0, 6, 0, 6, 0, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6, 6, 0, 0, 6, 6], [0, 6, 6, 0, 6, 6, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 6, 0, 0, 6], [0, 0, 0, 0, 0, 0, 6, 0, 6, 6, 6, 0, 6, 6, 0, 6, 6, 6, 6, 0], [6, 6, 6, 6, 6, 0, 0, 6, 6, 0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0], [6, 0, 0, 6, 0, 0, 0, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6, 6, 6, 6], [6, 0, 0, 0, 6, 0, 6, 6, 6, 6, 6, 0, 0, 0, 6, 0, 6, 6, 6, 6], [6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 0, 6, 0, 6, 0], [0, 0, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 6, 6, 0, 6, 6, 0, 0, 6], [0, 0, 0, 6, 0, 0, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 6, 6, 0, 0, 0, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6, 0]] -> [[0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 0, 7, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0], [7, 0, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 0, 0, 7, 7, 0, 0, 0, 7, 0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 7], [7, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 0, 7], [0, 7, 0, 0, 0, 0, 7, 7, 0, 0, 7, 0, 0, 7, 0, 7, 0, 7, 0, 7], [7, 7, 0, 0, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 0, 7, 7, 0, 7], [0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 7, 7, 0, 7, 0, 0], [7, 7, 0, 7, 0, 0, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 0, 7], [0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0], [0, 7, 7, 7, 0, 0, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7, 7, 7], [0, 7, 7, 0, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0], [0, 7, 0, 0, 0, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 0], [0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0], [7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7], [0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7], [7, 0, 0, 0, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 0, 7, 0, 7, 7], [0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 7, 0, 0, 0, 7], [0, 0, 7, 7, 0, 0, 7, 0, 7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7], [7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0]]\nExample input-output arrays:\n[[5, 5, 5, 5, 0, 0, 5, 0, 5, 0, 5, 5, 5, 0, 0, 5, 0, 5, 5, 5], [5, 0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 0, 5, 5, 0, 5, 5, 0, 0, 5], [0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 5, 0, 5, 0, 5, 0, 0, 5, 5, 5], [5, 0, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0, 5, 0, 5, 0, 0, 0, 5], [5, 0, 5, 0, 5, 0, 0, 0, 0, 0, 5, 0, 5, 5, 0, 5, 0, 5, 0, 0], [0, 5, 5, 5, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 5, 0, 0, 0, 0], [0, 0, 5, 0, 0, 5, 5, 5, 0, 0, 5, 0, 5, 5, 0, 5, 0, 0, 0, 0], [5, 0, 0, 0, 5, 0, 0, 5, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 5, 5], [0, 5, 5, 5, 5, 0, 5, 5, 0, 0, 5, 5, 5, 0, 0, 5, 5, 0, 5, 5], [0, 0, 0, 0, 0, 5, 5, 0, 5, 0, 0, 5, 5, 5, 5, 0, 5, 5, 5, 0], [0, 5, 0, 0, 5, 5, 0, 0, 5, 5, 0, 0, 0, 5, 5, 0, 5, 0, 0, 5], [5, 5, 5, 5, 0, 5, 5, 0, 0, 5, 0, 0, 5, 0, 0, 5, 5, 0, 0, 5], [0, 5, 5, 0, 5, 5, 5, 5, 5, 0, 0, 0, 5, 0, 5, 0, 5, 0, 0, 0], [0, 5, 0, 5, 5, 5, 5, 5, 5, 5, 5, 0, 5, 5, 5, 0, 5, 0, 0, 0], [5, 0, 0, 5, 0, 5, 0, 0, 0, 0, 5, 5, 5, 5, 0, 5, 0, 0, 0, 0], [0, 5, 0, 5, 0, 0, 0, 5, 5, 5, 0, 5, 5, 0, 0, 5, 0, 0, 0, 0], [5, 0, 0, 5, 0, 5, 5, 5, 5, 5, 5, 5, 0, 5, 5, 0, 5, 5, 5, 5], [5, 5, 0, 0, 0, 5, 5, 0, 0, 5, 5, 0, 5, 5, 0, 5, 0, 5, 0, 0], [5, 5, 5, 0, 5, 5, 0, 5, 0, 5, 5, 0, 0, 5, 5, 0, 5, 0, 0, 0], [5, 0, 5, 5, 0, 0, 5, 5, 5, 0, 0, 5, 0, 0, 5, 0, 5, 5, 5, 0], [0, 0, 6, 6, 6, 0, 6, 0, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 0], [6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 0, 6, 0, 0, 0, 6, 0, 6, 6, 6], [6, 6, 0, 6, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 6], [6, 6, 6, 6, 0, 0, 6, 6, 6, 6, 0, 6, 6, 0, 6, 0, 6, 0, 6, 0], [0, 6, 6, 0, 6, 6, 0, 6, 6, 6, 6, 6, 0, 0, 0, 6, 6, 6, 6, 6], [0, 0, 6, 6, 0, 0, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 0, 6, 0, 6], [0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 0, 6, 0, 0, 0, 0, 6, 0, 0], [6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 0], [6, 6, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6, 6, 6, 6, 0, 6, 0, 0, 6], [6, 0, 6, 6, 0, 6, 0, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6], [0, 0, 6, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6], [6, 6, 0, 0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 0], [0, 6, 0, 6, 6, 0, 6, 0, 6, 6, 0, 6, 0, 6, 6, 0, 6, 0, 6, 6], [6, 6, 0, 0, 6, 6, 0, 0, 0, 0, 6, 6, 0, 6, 6, 0, 6, 6, 6, 0], [0, 6, 6, 0, 0, 6, 0, 0, 6, 6, 0, 0, 0, 6, 0, 6, 6, 0, 6, 6], [0, 6, 6, 6, 6, 6, 0, 6, 0, 0, 0, 0, 0, 6, 0, 0, 6, 0, 0, 0], [0, 6, 0, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 0, 6, 6, 0, 6, 6, 0], [6, 6, 0, 6, 0, 0, 0, 6, 0, 6, 0, 6, 0, 0, 0, 6, 0, 6, 0, 0], [6, 6, 0, 0, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 6, 0, 0, 0], [0, 6, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 0, 0, 6, 6, 0, 6, 0, 0]] -> [[7, 7, 7, 7, 7, 0, 7, 0, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7], [7, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7], [7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [7, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7], [0, 0, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0], [0, 0, 7, 0, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 0, 7, 0, 7, 0, 0], [7, 0, 0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0], [7, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7], [0, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0, 7, 7, 7, 0], [0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7], [7, 7, 0, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 0, 7, 0, 7, 7], [0, 7, 0, 0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 7, 7, 0, 7, 0, 0, 0], [7, 7, 7, 7, 0, 7, 0, 0, 7, 7, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7], [0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0, 7, 0, 0], [7, 7, 7, 0, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 0, 0, 0], [0, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1], [1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1], [1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1], [1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0], [0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0], [0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0], [1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1], [0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1], [0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0], [0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1], [1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1], [0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0], [0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0], [1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0], [0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0], [1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1], [1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0], [1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0], [1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0], [0, 0, 6, 6, 6, 0, 6, 0, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 0], [6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 0, 6, 0, 0, 0, 6, 0, 6, 6, 6], [6, 6, 0, 6, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 6], [6, 6, 6, 6, 0, 0, 6, 6, 6, 6, 0, 6, 6, 0, 6, 0, 6, 0, 6, 0], [0, 6, 6, 0, 6, 6, 0, 6, 6, 6, 6, 6, 0, 0, 0, 6, 6, 6, 6, 6], [0, 0, 6, 6, 0, 0, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 0, 6, 0, 6], [0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 0, 6, 0, 0, 0, 0, 6, 0, 0], [6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 0], [6, 6, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6, 6, 6, 6, 0, 6, 0, 0, 6], [6, 0, 6, 6, 0, 6, 0, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6], [0, 0, 6, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6], [6, 6, 0, 0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 0], [0, 6, 0, 6, 6, 0, 6, 0, 6, 6, 0, 6, 0, 6, 6, 0, 6, 0, 6, 6], [6, 6, 0, 0, 6, 6, 0, 0, 0, 0, 6, 6, 0, 6, 6, 0, 6, 6, 6, 0], [0, 6, 6, 0, 0, 6, 0, 0, 6, 6, 0, 0, 0, 6, 0, 6, 6, 0, 6, 6], [0, 6, 6, 6, 6, 6, 0, 6, 0, 0, 0, 0, 0, 6, 0, 0, 6, 0, 0, 0], [0, 6, 0, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 0, 6, 6, 0, 6, 6, 0], [6, 6, 0, 6, 0, 0, 0, 6, 0, 6, 0, 6, 0, 0, 0, 6, 0, 6, 0, 0], [6, 6, 0, 0, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 6, 0, 0, 0], [0, 6, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 0, 0, 6, 6, 0, 6, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
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+                        [
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+                            0,
+                            0
+                        ]
+                    ],
+                    "output": [
+                        [
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+                        [
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+                    ]
+                }
+            },
+            "Replicate 1": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[5, 5, 5, 5, 0, 0, 5, 0, 5, 0, 5, 5, 5, 0, 0, 5, 0, 5, 5, 5], [5, 0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 0, 5, 5, 0, 5, 5, 0, 0, 5], [0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 5, 0, 5, 0, 5, 0, 0, 5, 5, 5], [5, 0, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0, 5, 0, 5, 0, 0, 0, 5], [5, 0, 5, 0, 5, 0, 0, 0, 0, 0, 5, 0, 5, 5, 0, 5, 0, 5, 0, 0], [0, 5, 5, 5, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 5, 0, 0, 0, 0], [0, 0, 5, 0, 0, 5, 5, 5, 0, 0, 5, 0, 5, 5, 0, 5, 0, 0, 0, 0], [5, 0, 0, 0, 5, 0, 0, 5, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 5, 5], [0, 5, 5, 5, 5, 0, 5, 5, 0, 0, 5, 5, 5, 0, 0, 5, 5, 0, 5, 5], [0, 0, 0, 0, 0, 5, 5, 0, 5, 0, 0, 5, 5, 5, 5, 0, 5, 5, 5, 0], [0, 5, 0, 0, 5, 5, 0, 0, 5, 5, 0, 0, 0, 5, 5, 0, 5, 0, 0, 5], [5, 5, 5, 5, 0, 5, 5, 0, 0, 5, 0, 0, 5, 0, 0, 5, 5, 0, 0, 5], [0, 5, 5, 0, 5, 5, 5, 5, 5, 0, 0, 0, 5, 0, 5, 0, 5, 0, 0, 0], [0, 5, 0, 5, 5, 5, 5, 5, 5, 5, 5, 0, 5, 5, 5, 0, 5, 0, 0, 0], [5, 0, 0, 5, 0, 5, 0, 0, 0, 0, 5, 5, 5, 5, 0, 5, 0, 0, 0, 0], [0, 5, 0, 5, 0, 0, 0, 5, 5, 5, 0, 5, 5, 0, 0, 5, 0, 0, 0, 0], [5, 0, 0, 5, 0, 5, 5, 5, 5, 5, 5, 5, 0, 5, 5, 0, 5, 5, 5, 5], [5, 5, 0, 0, 0, 5, 5, 0, 0, 5, 5, 0, 5, 5, 0, 5, 0, 5, 0, 0], [5, 5, 5, 0, 5, 5, 0, 5, 0, 5, 5, 0, 0, 5, 5, 0, 5, 0, 0, 0], [5, 0, 5, 5, 0, 0, 5, 5, 5, 0, 0, 5, 0, 0, 5, 0, 5, 5, 5, 0], [0, 0, 6, 6, 6, 0, 6, 0, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 0], [6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 0, 6, 0, 0, 0, 6, 0, 6, 6, 6], [6, 6, 0, 6, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 6], [6, 6, 6, 6, 0, 0, 6, 6, 6, 6, 0, 6, 6, 0, 6, 0, 6, 0, 6, 0], [0, 6, 6, 0, 6, 6, 0, 6, 6, 6, 6, 6, 0, 0, 0, 6, 6, 6, 6, 6], [0, 0, 6, 6, 0, 0, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 0, 6, 0, 6], [0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 0, 6, 0, 0, 0, 0, 6, 0, 0], [6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 0], [6, 6, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6, 6, 6, 6, 0, 6, 0, 0, 6], [6, 0, 6, 6, 0, 6, 0, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6], [0, 0, 6, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6], [6, 6, 0, 0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 0], [0, 6, 0, 6, 6, 0, 6, 0, 6, 6, 0, 6, 0, 6, 6, 0, 6, 0, 6, 6], [6, 6, 0, 0, 6, 6, 0, 0, 0, 0, 6, 6, 0, 6, 6, 0, 6, 6, 6, 0], [0, 6, 6, 0, 0, 6, 0, 0, 6, 6, 0, 0, 0, 6, 0, 6, 6, 0, 6, 6], [0, 6, 6, 6, 6, 6, 0, 6, 0, 0, 0, 0, 0, 6, 0, 0, 6, 0, 0, 0], [0, 6, 0, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 0, 6, 6, 0, 6, 6, 0], [6, 6, 0, 6, 0, 0, 0, 6, 0, 6, 0, 6, 0, 0, 0, 6, 0, 6, 0, 0], [6, 6, 0, 0, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 6, 0, 0, 0], [0, 6, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 0, 0, 6, 6, 0, 6, 0, 0]] -> [[7, 7, 7, 7, 7, 0, 7, 0, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7], [7, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7], [7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [7, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7], [0, 0, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0], [0, 0, 7, 0, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 0, 7, 0, 7, 0, 0], [7, 0, 0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0], [7, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7], [0, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0, 7, 7, 7, 0], [0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7], [7, 7, 0, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 0, 7, 0, 7, 7], [0, 7, 0, 0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 7, 7, 0, 7, 0, 0, 0], [7, 7, 7, 7, 0, 7, 0, 0, 7, 7, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7], [0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0, 7, 0, 0], [7, 7, 7, 0, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 0, 0, 0], [0, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[5, 5, 0, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 5, 0], [0, 0, 0, 0, 5, 5, 0, 0, 5, 5, 5, 0, 5, 5, 0, 0, 0, 5, 5, 0], [0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 5, 5, 5, 0, 0, 0, 5], [5, 0, 5, 0, 0, 0, 5, 0, 5, 0, 0, 0, 5, 0, 5, 0, 0, 0, 5, 0], [0, 5, 0, 5, 0, 5, 0, 0, 0, 0, 5, 0, 5, 5, 5, 5, 5, 0, 0, 5], [5, 5, 5, 5, 5, 0, 0, 5, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 5], [0, 5, 5, 5, 5, 5, 0, 0, 0, 5, 5, 0, 0, 5, 5, 5, 5, 0, 0, 0], [0, 0, 5, 5, 5, 0, 0, 5, 5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 5, 0, 5, 5, 5, 0, 0, 5, 0, 5, 0, 5, 5, 0, 0], [0, 5, 5, 0, 0, 5, 0, 5, 0, 5, 0, 0, 5, 0, 0, 0, 0, 0, 5, 5], [0, 5, 0, 5, 0, 5, 5, 5, 5, 0, 0, 5, 0, 0, 0, 5, 5, 0, 0, 0], [5, 5, 0, 0, 5, 0, 0, 5, 0, 5, 5, 0, 0, 0, 5, 5, 5, 5, 0, 5], [5, 5, 5, 0, 0, 0, 5, 5, 5, 0, 5, 0, 0, 0, 0, 5, 0, 5, 5, 5], [0, 0, 0, 0, 5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 5, 0, 0, 0, 0, 5], [5, 5, 0, 0, 5, 0, 0, 5, 5, 0, 5, 5, 5, 0, 0, 5, 5, 5, 0, 0], [0, 0, 5, 0, 5, 5, 5, 5, 5, 0, 0, 0, 5, 0, 0, 5, 5, 5, 0, 0], [5, 5, 0, 0, 0, 0, 0, 5, 5, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0], [5, 5, 5, 0, 0, 0, 0, 0, 0, 5, 5, 5, 5, 5, 0, 5, 5, 0, 5, 5], [5, 0, 0, 5, 0, 0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0], [5, 0, 0, 0, 0, 5, 5, 0, 5, 0, 0, 5, 0, 0, 5, 5, 5, 5, 0, 0], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]] -> [[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 0, 0, 7, 7, 0, 0, 7, 7, 7, 0, 7, 7, 0, 0, 0, 7, 7, 0], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 0, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 7, 0], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 0, 0, 7, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 7, 7, 7, 0, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [0, 7, 7, 0, 0, 7, 0, 7, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 0, 0, 7, 0, 0, 7, 0, 7, 7, 0, 0, 0, 7, 7, 7, 7, 0, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 0, 0, 7, 7, 7, 7, 0, 7, 0, 0, 0, 7, 7, 0, 0, 0, 0, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 7, 0, 7, 7, 7, 7, 7, 0, 0, 0, 7, 0, 0, 7, 7, 7, 0, 0], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 0, 0, 0, 0, 7, 7, 0, 7, 0, 0, 7, 0, 0, 7, 7, 7, 7, 0, 0]]\nExample input-output arrays:\n[[0, 5, 0, 0, 5, 5, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 5, 5, 0, 0], [0, 5, 5, 5, 0, 5, 5, 5, 0, 0, 5, 0, 5, 5, 0, 5, 5, 0, 5, 5], [5, 0, 0, 5, 0, 0, 5, 5, 0, 0, 0, 5, 0, 0, 5, 0, 0, 5, 0, 0], [5, 0, 0, 5, 5, 5, 5, 0, 0, 5, 5, 5, 5, 0, 0, 5, 5, 0, 5, 5], [0, 5, 0, 5, 0, 5, 5, 5, 5, 5, 0, 0, 0, 5, 5, 5, 0, 5, 0, 5], [0, 5, 5, 5, 5, 5, 0, 5, 5, 5, 5, 5, 5, 0, 0, 0, 5, 5, 0, 0], [5, 0, 5, 0, 5, 0, 0, 0, 5, 5, 0, 5, 5, 0, 5, 0, 5, 5, 5, 5], [5, 5, 5, 5, 0, 5, 0, 5, 5, 0, 0, 5, 0, 0, 0, 5, 5, 0, 5, 5], [0, 5, 5, 5, 5, 5, 5, 5, 0, 5, 0, 0, 0, 0, 5, 0, 0, 5, 0, 0], [5, 5, 5, 0, 0, 5, 5, 0, 5, 5, 5, 0, 0, 0, 0, 0, 5, 0, 0, 5], [5, 0, 0, 0, 5, 5, 5, 5, 0, 5, 0, 0, 5, 5, 5, 0, 5, 5, 5, 5], [5, 5, 5, 5, 0, 0, 5, 5, 5, 5, 0, 5, 5, 5, 5, 5, 0, 0, 0, 0], [0, 5, 5, 5, 5, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 5, 5, 0, 5, 5], [0, 0, 0, 5, 0, 5, 0, 5, 0, 5, 0, 5, 0, 5, 5, 0, 0, 5, 0, 0], [0, 0, 5, 5, 0, 5, 0, 5, 5, 0, 5, 0, 0, 0, 0, 5, 0, 0, 5, 5], [0, 0, 5, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 5, 0, 5, 5, 0, 5, 5], [0, 5, 0, 5, 5, 0, 5, 5, 5, 0, 0, 0, 0, 0, 5, 0, 5, 0, 5, 5], [5, 0, 0, 0, 5, 0, 0, 5, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 5, 5], [0, 5, 5, 0, 5, 0, 0, 5, 5, 5, 5, 0, 5, 5, 0, 5, 5, 0, 5, 0], [0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0, 5, 5, 0], [6, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 6, 6, 0, 6], [0, 0, 6, 6, 0, 6, 0, 0, 6, 6, 6, 0, 6, 0, 6, 6, 0, 0, 0, 0], [0, 6, 6, 6, 6, 6, 0, 0, 6, 6, 6, 6, 0, 6, 0, 0, 0, 0, 0, 0], [0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0], [0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6], [0, 6, 0, 6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0], [0, 6, 0, 6, 0, 6, 6, 0, 0, 0, 6, 0, 0, 6, 6, 6, 6, 0, 6, 6], [0, 0, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0, 6], [6, 0, 0, 6, 6, 6, 0, 0, 6, 6, 0, 6, 0, 6, 6, 6, 6, 0, 0, 6], [0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6, 0, 6, 6, 0, 0, 0, 6, 6, 6], [6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 6, 6, 0, 0], [0, 0, 0, 0, 0, 6, 0, 6, 0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 6, 6], [0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 0, 6, 6, 6, 6, 0, 0, 0, 6, 6], [0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 6, 0, 0, 6, 6, 6, 0], [6, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0, 6, 0, 0, 6, 6], [6, 0, 6, 0, 0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 6, 0, 6, 0, 0, 0], [6, 6, 0, 6, 6, 6, 0, 0, 6, 6, 0, 6, 0, 0, 6, 0, 0, 0, 6, 6], [6, 0, 0, 6, 6, 0, 6, 0, 0, 0, 6, 0, 6, 0, 6, 0, 0, 6, 6, 0], [0, 0, 6, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 0, 0, 0], [6, 0, 6, 6, 6, 6, 6, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6, 6, 0, 6]] -> [[7, 7, 0, 0, 7, 7, 0, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7], [0, 0, 7, 7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 0, 0, 7, 0, 0, 0, 0], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 0, 0, 7, 0, 0], [0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 7], [0, 7, 0, 7, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0], [7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 7, 7, 0, 7, 0, 7, 7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 7, 7, 7, 7, 7, 0, 7], [0, 7, 7, 0, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7], [7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7], [0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0], [0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7], [0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0], [7, 0, 7, 7, 7, 7, 0, 7, 7, 7, 7, 0, 0, 0, 0, 7, 0, 0, 7, 7], [0, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0], [7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 7, 0, 7, 0, 7, 7], [7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0], [0, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 0], [0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 4, 0, 0, 4, 4, 0, 0, 0, 4, 4, 4, 0, 4, 4, 4, 4, 4, 0, 0], [0, 4, 4, 4, 0, 4, 4, 4, 0, 0, 4, 0, 4, 4, 0, 4, 4, 0, 4, 4], [4, 0, 0, 4, 0, 0, 4, 4, 0, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0], [4, 0, 0, 4, 4, 4, 4, 0, 0, 4, 4, 4, 4, 0, 0, 4, 4, 0, 4, 4], [0, 4, 0, 4, 0, 4, 4, 4, 4, 4, 0, 0, 0, 4, 4, 4, 0, 4, 0, 4], [0, 4, 4, 4, 4, 4, 0, 4, 4, 4, 4, 4, 4, 0, 0, 0, 4, 4, 0, 0], [4, 0, 4, 0, 4, 0, 0, 0, 4, 4, 0, 4, 4, 0, 4, 0, 4, 4, 4, 4], [4, 4, 4, 4, 0, 4, 0, 4, 4, 0, 0, 4, 0, 0, 0, 4, 4, 0, 4, 4], [0, 4, 4, 4, 4, 4, 4, 4, 0, 4, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0], [4, 4, 4, 0, 0, 4, 4, 0, 4, 4, 4, 0, 0, 0, 0, 0, 4, 0, 0, 4], [4, 0, 0, 0, 4, 4, 4, 4, 0, 4, 0, 0, 4, 4, 4, 0, 4, 4, 4, 4], [4, 4, 4, 4, 0, 0, 4, 4, 4, 4, 0, 4, 4, 4, 4, 4, 0, 0, 0, 0], [0, 4, 4, 4, 4, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 4, 4, 0, 4, 4], [0, 0, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 4, 0, 0, 4, 0, 0], [0, 0, 4, 4, 0, 4, 0, 4, 4, 0, 4, 0, 0, 0, 0, 4, 0, 0, 4, 4], [0, 0, 4, 0, 4, 0, 4, 0, 0, 4, 0, 4, 0, 4, 0, 4, 4, 0, 4, 4], [0, 4, 0, 4, 4, 0, 4, 4, 4, 0, 0, 0, 0, 0, 4, 0, 4, 0, 4, 4], [4, 0, 0, 0, 4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 4, 4], [0, 4, 4, 0, 4, 0, 0, 4, 4, 4, 4, 0, 4, 4, 0, 4, 4, 0, 4, 0], [0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 4, 0, 4, 4, 0], [6, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 6, 6, 0, 6], [0, 0, 6, 6, 0, 6, 0, 0, 6, 6, 6, 0, 6, 0, 6, 6, 0, 0, 0, 0], [0, 6, 6, 6, 6, 6, 0, 0, 6, 6, 6, 6, 0, 6, 0, 0, 0, 0, 0, 0], [0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0], [0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6], [0, 6, 0, 6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0], [0, 6, 0, 6, 0, 6, 6, 0, 0, 0, 6, 0, 0, 6, 6, 6, 6, 0, 6, 6], [0, 0, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0, 6], [6, 0, 0, 6, 6, 6, 0, 0, 6, 6, 0, 6, 0, 6, 6, 6, 6, 0, 0, 6], [0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6, 0, 6, 6, 0, 0, 0, 6, 6, 6], [6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 6, 6, 0, 0], [0, 0, 0, 0, 0, 6, 0, 6, 0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 6, 6], [0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 0, 6, 6, 6, 6, 0, 0, 0, 6, 6], [0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 6, 0, 0, 6, 6, 6, 0], [6, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0, 6, 0, 0, 6, 6], [6, 0, 6, 0, 0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 6, 0, 6, 0, 0, 0], [6, 6, 0, 6, 6, 6, 0, 0, 6, 6, 0, 6, 0, 0, 6, 0, 0, 0, 6, 6], [6, 0, 0, 6, 6, 0, 6, 0, 0, 0, 6, 0, 6, 0, 6, 0, 0, 6, 6, 0], [0, 0, 6, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 0, 0, 0], [6, 0, 6, 6, 6, 6, 6, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6, 6, 0, 6]] -> ",
+                "test": {
+                    "input": [
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+            },
+            "Replicate 2": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[5, 5, 5, 5, 0, 5, 5, 5, 5, 5, 0, 5, 5, 5, 0, 0, 0, 5, 0, 5], [5, 5, 0, 0, 5, 0, 0, 0, 5, 0, 5, 5, 5, 0, 5, 0, 5, 0, 5, 5], [5, 5, 5, 0, 0, 5, 5, 0, 0, 5, 5, 5, 0, 5, 5, 0, 5, 0, 0, 5], [5, 5, 5, 5, 0, 0, 5, 0, 5, 0, 5, 5, 0, 0, 5, 5, 0, 5, 5, 5], [0, 0, 5, 0, 5, 0, 5, 0, 0, 5, 0, 0, 0, 5, 0, 5, 5, 5, 0, 5], [5, 5, 0, 0, 0, 0, 5, 5, 0, 0, 5, 5, 5, 0, 5, 5, 0, 0, 5, 0], [5, 0, 5, 5, 0, 0, 0, 0, 5, 5, 0, 5, 0, 0, 0, 0, 5, 5, 0, 0], [0, 0, 5, 0, 0, 0, 5, 5, 5, 5, 5, 5, 5, 5, 0, 5, 0, 5, 5, 0], [5, 0, 5, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 5, 0, 0], [0, 5, 0, 5, 5, 5, 5, 5, 5, 5, 0, 5, 5, 0, 5, 0, 0, 0, 0, 5], [5, 0, 0, 5, 0, 5, 5, 0, 0, 5, 5, 0, 5, 5, 0, 0, 0, 0, 0, 0], [5, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 5, 5, 0, 5, 5, 5, 0, 0], [5, 0, 0, 5, 5, 0, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0, 0, 5, 0, 5], [0, 0, 0, 5, 5, 0, 5, 5, 5, 5, 5, 5, 0, 5, 0, 5, 5, 5, 5, 5], [5, 5, 5, 0, 5, 5, 5, 0, 5, 5, 0, 0, 5, 5, 0, 0, 5, 5, 5, 0], [0, 5, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 5, 0, 5], [5, 0, 5, 0, 5, 5, 0, 0, 5, 5, 0, 0, 5, 0, 5, 0, 5, 5, 0, 5], [5, 5, 5, 0, 0, 5, 0, 5, 0, 0, 0, 5, 0, 5, 0, 5, 5, 5, 5, 5], [5, 0, 0, 0, 5, 5, 5, 5, 5, 0, 5, 5, 0, 5, 0, 0, 5, 0, 0, 0], [0, 5, 0, 0, 0, 0, 5, 5, 5, 0, 5, 0, 5, 5, 5, 5, 5, 0, 0, 5], [0, 6, 0, 6, 0, 6, 6, 0, 0, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 0], [6, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 6, 0, 6, 0, 0, 0], [6, 0, 0, 6, 0, 6, 0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 0, 0, 0, 0], [6, 6, 0, 0, 0, 6, 0, 6, 6, 6, 0, 6, 0, 0, 6, 0, 0, 6, 6, 0], [0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 0, 0, 6], [0, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0], [6, 0, 0, 6, 6, 6, 0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 6, 6, 0, 6], [6, 6, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 6, 6], [6, 6, 6, 6, 6, 6, 0, 0, 0, 6, 0, 0, 6, 0, 0, 6, 6, 0, 0, 0], [6, 0, 6, 0, 0, 0, 0, 6, 6, 6, 0, 0, 6, 6, 0, 6, 0, 6, 6, 6], [0, 0, 6, 6, 6, 0, 6, 6, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6, 0, 0], [6, 6, 6, 0, 6, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 6, 6, 6, 0, 6], [6, 6, 0, 0, 0, 0, 6, 0, 6, 0, 0, 6, 6, 0, 0, 6, 6, 6, 6, 6], [0, 6, 6, 0, 6, 6, 0, 0, 0, 0, 6, 0, 0, 6, 6, 6, 6, 0, 6, 6], [6, 6, 6, 6, 6, 0, 0, 0, 6, 6, 0, 0, 6, 0, 6, 6, 6, 0, 6, 6], [6, 0, 6, 0, 6, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6, 6, 6, 6, 6, 6], [0, 6, 6, 6, 6, 0, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0], [0, 0, 6, 6, 6, 6, 0, 0, 6, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 6], [0, 6, 6, 6, 6, 0, 6, 0, 0, 6, 0, 6, 0, 6, 0, 0, 0, 0, 6, 0], [0, 0, 6, 0, 6, 0, 6, 0, 0, 6, 0, 0, 0, 6, 0, 6, 0, 6, 0, 6]] -> [[7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 0, 0, 7, 0, 7], [7, 0, 0, 0, 7, 0, 0, 0, 7, 0, 7, 7, 0, 0, 7, 0, 7, 0, 0, 0], [7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 7], [7, 7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 7, 0, 0, 7, 7, 0], [0, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 7], [0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 0], [7, 0, 7, 7, 7, 7, 0, 7, 7, 7, 0, 7, 7, 0, 7, 0, 7, 7, 0, 7], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 7, 0], [7, 7, 7, 7, 7, 7, 7, 0, 0, 7, 7, 0, 7, 0, 0, 7, 7, 7, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 7], [7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 0, 7, 0, 0], [7, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0], [7, 7, 0, 7, 7, 0, 7, 7, 7, 0, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7], [0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0, 0, 7, 0, 7, 7, 0, 7, 7], [7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7], [7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 7, 0, 7, 0], [0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 7]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2], [2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2], [2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2], [2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2], [0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2], [2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0], [2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0], [0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0], [2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0], [0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2], [2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0], [2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2], [0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2], [2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0], [0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2], [2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2], [2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2], [2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0], [0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2], [0, 6, 0, 6, 0, 6, 6, 0, 0, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 0], [6, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 6, 0, 6, 0, 0, 0], [6, 0, 0, 6, 0, 6, 0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 0, 0, 0, 0], [6, 6, 0, 0, 0, 6, 0, 6, 6, 6, 0, 6, 0, 0, 6, 0, 0, 6, 6, 0], [0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 0, 0, 6], [0, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0], [6, 0, 0, 6, 6, 6, 0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 6, 6, 0, 6], [6, 6, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 6, 6], [6, 6, 6, 6, 6, 6, 0, 0, 0, 6, 0, 0, 6, 0, 0, 6, 6, 0, 0, 0], [6, 0, 6, 0, 0, 0, 0, 6, 6, 6, 0, 0, 6, 6, 0, 6, 0, 6, 6, 6], [0, 0, 6, 6, 6, 0, 6, 6, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6, 0, 0], [6, 6, 6, 0, 6, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 6, 6, 6, 0, 6], [6, 6, 0, 0, 0, 0, 6, 0, 6, 0, 0, 6, 6, 0, 0, 6, 6, 6, 6, 6], [0, 6, 6, 0, 6, 6, 0, 0, 0, 0, 6, 0, 0, 6, 6, 6, 6, 0, 6, 6], [6, 6, 6, 6, 6, 0, 0, 0, 6, 6, 0, 0, 6, 0, 6, 6, 6, 0, 6, 6], [6, 0, 6, 0, 6, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6, 6, 6, 6, 6, 6], [0, 6, 6, 6, 6, 0, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0], [0, 0, 6, 6, 6, 6, 0, 0, 6, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 6], [0, 6, 6, 6, 6, 0, 6, 0, 0, 6, 0, 6, 0, 6, 0, 0, 0, 0, 6, 0], [0, 0, 6, 0, 6, 0, 6, 0, 0, 6, 0, 0, 0, 6, 0, 6, 0, 6, 0, 6]] -> [[7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 0, 0, 7, 0, 7], [7, 0, 0, 0, 7, 0, 0, 0, 7, 0, 7, 7, 0, 0, 7, 0, 7, 0, 0, 0], [7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 7], [7, 7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 7, 0, 0, 7, 7, 0], [0, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 7], [0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 0], [7, 0, 7, 7, 7, 7, 0, 7, 7, 7, 0, 7, 7, 0, 7, 0, 7, 7, 0, 7], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 7, 0], [7, 7, 7, 7, 7, 7, 7, 0, 0, 7, 7, 0, 7, 0, 0, 7, 7, 7, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 7], [7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 0, 7, 0, 0], [7, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0], [7, 7, 0, 7, 7, 0, 7, 7, 7, 0, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7], [0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0, 0, 7, 0, 7, 7, 0, 7, 7], [7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7], [7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 7, 0, 7, 0], [0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 7]]\nExample input-output arrays:\n[[5, 5, 5, 5, 0, 0, 5, 0, 5, 0, 5, 5, 5, 0, 0, 5, 0, 5, 5, 5], [5, 0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 0, 5, 5, 0, 5, 5, 0, 0, 5], [0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 5, 0, 5, 0, 5, 0, 0, 5, 5, 5], [5, 0, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0, 5, 0, 5, 0, 0, 0, 5], [5, 0, 5, 0, 5, 0, 0, 0, 0, 0, 5, 0, 5, 5, 0, 5, 0, 5, 0, 0], [0, 5, 5, 5, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 5, 0, 0, 0, 0], [0, 0, 5, 0, 0, 5, 5, 5, 0, 0, 5, 0, 5, 5, 0, 5, 0, 0, 0, 0], [5, 0, 0, 0, 5, 0, 0, 5, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 5, 5], [0, 5, 5, 5, 5, 0, 5, 5, 0, 0, 5, 5, 5, 0, 0, 5, 5, 0, 5, 5], [0, 0, 0, 0, 0, 5, 5, 0, 5, 0, 0, 5, 5, 5, 5, 0, 5, 5, 5, 0], [0, 5, 0, 0, 5, 5, 0, 0, 5, 5, 0, 0, 0, 5, 5, 0, 5, 0, 0, 5], [5, 5, 5, 5, 0, 5, 5, 0, 0, 5, 0, 0, 5, 0, 0, 5, 5, 0, 0, 5], [0, 5, 5, 0, 5, 5, 5, 5, 5, 0, 0, 0, 5, 0, 5, 0, 5, 0, 0, 0], [0, 5, 0, 5, 5, 5, 5, 5, 5, 5, 5, 0, 5, 5, 5, 0, 5, 0, 0, 0], [5, 0, 0, 5, 0, 5, 0, 0, 0, 0, 5, 5, 5, 5, 0, 5, 0, 0, 0, 0], [0, 5, 0, 5, 0, 0, 0, 5, 5, 5, 0, 5, 5, 0, 0, 5, 0, 0, 0, 0], [5, 0, 0, 5, 0, 5, 5, 5, 5, 5, 5, 5, 0, 5, 5, 0, 5, 5, 5, 5], [5, 5, 0, 0, 0, 5, 5, 0, 0, 5, 5, 0, 5, 5, 0, 5, 0, 5, 0, 0], [5, 5, 5, 0, 5, 5, 0, 5, 0, 5, 5, 0, 0, 5, 5, 0, 5, 0, 0, 0], [5, 0, 5, 5, 0, 0, 5, 5, 5, 0, 0, 5, 0, 0, 5, 0, 5, 5, 5, 0], [0, 0, 6, 6, 6, 0, 6, 0, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 0], [6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 0, 6, 0, 0, 0, 6, 0, 6, 6, 6], [6, 6, 0, 6, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 6], [6, 6, 6, 6, 0, 0, 6, 6, 6, 6, 0, 6, 6, 0, 6, 0, 6, 0, 6, 0], [0, 6, 6, 0, 6, 6, 0, 6, 6, 6, 6, 6, 0, 0, 0, 6, 6, 6, 6, 6], [0, 0, 6, 6, 0, 0, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 0, 6, 0, 6], [0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 0, 6, 0, 0, 0, 0, 6, 0, 0], [6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 0], [6, 6, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6, 6, 6, 6, 0, 6, 0, 0, 6], [6, 0, 6, 6, 0, 6, 0, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6], [0, 0, 6, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6], [6, 6, 0, 0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 0], [0, 6, 0, 6, 6, 0, 6, 0, 6, 6, 0, 6, 0, 6, 6, 0, 6, 0, 6, 6], [6, 6, 0, 0, 6, 6, 0, 0, 0, 0, 6, 6, 0, 6, 6, 0, 6, 6, 6, 0], [0, 6, 6, 0, 0, 6, 0, 0, 6, 6, 0, 0, 0, 6, 0, 6, 6, 0, 6, 6], [0, 6, 6, 6, 6, 6, 0, 6, 0, 0, 0, 0, 0, 6, 0, 0, 6, 0, 0, 0], [0, 6, 0, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 0, 6, 6, 0, 6, 6, 0], [6, 6, 0, 6, 0, 0, 0, 6, 0, 6, 0, 6, 0, 0, 0, 6, 0, 6, 0, 0], [6, 6, 0, 0, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 6, 0, 0, 0], [0, 6, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 0, 0, 6, 6, 0, 6, 0, 0]] -> [[7, 7, 7, 7, 7, 0, 7, 0, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7], [7, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7], [7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [7, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7], [0, 0, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0], [0, 0, 7, 0, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 0, 7, 0, 7, 0, 0], [7, 0, 0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0], [7, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7], [0, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0, 7, 7, 7, 0], [0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7], [7, 7, 0, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 0, 7, 0, 7, 7], [0, 7, 0, 0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 7, 7, 0, 7, 0, 0, 0], [7, 7, 7, 7, 0, 7, 0, 0, 7, 7, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7], [0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0, 7, 0, 0], [7, 7, 7, 0, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 0, 0, 0], [0, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[3, 3, 3, 3, 0, 0, 3, 0, 3, 0, 3, 3, 3, 0, 0, 3, 0, 3, 3, 3], [3, 0, 0, 0, 3, 3, 0, 0, 0, 3, 3, 0, 3, 3, 0, 3, 3, 0, 0, 3], [0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 3, 0, 3, 0, 3, 0, 0, 3, 3, 3], [3, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 3, 0, 0, 0, 3], [3, 0, 3, 0, 3, 0, 0, 0, 0, 0, 3, 0, 3, 3, 0, 3, 0, 3, 0, 0], [0, 3, 3, 3, 0, 0, 0, 0, 0, 3, 3, 3, 0, 0, 0, 3, 0, 0, 0, 0], [0, 0, 3, 0, 0, 3, 3, 3, 0, 0, 3, 0, 3, 3, 0, 3, 0, 0, 0, 0], [3, 0, 0, 0, 3, 0, 0, 3, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 3, 3], [0, 3, 3, 3, 3, 0, 3, 3, 0, 0, 3, 3, 3, 0, 0, 3, 3, 0, 3, 3], [0, 0, 0, 0, 0, 3, 3, 0, 3, 0, 0, 3, 3, 3, 3, 0, 3, 3, 3, 0], [0, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 0, 3, 3, 0, 3, 0, 0, 3], [3, 3, 3, 3, 0, 3, 3, 0, 0, 3, 0, 0, 3, 0, 0, 3, 3, 0, 0, 3], [0, 3, 3, 0, 3, 3, 3, 3, 3, 0, 0, 0, 3, 0, 3, 0, 3, 0, 0, 0], [0, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 0, 3, 0, 0, 0], [3, 0, 0, 3, 0, 3, 0, 0, 0, 0, 3, 3, 3, 3, 0, 3, 0, 0, 0, 0], [0, 3, 0, 3, 0, 0, 0, 3, 3, 3, 0, 3, 3, 0, 0, 3, 0, 0, 0, 0], [3, 0, 0, 3, 0, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3, 0, 3, 3, 3, 3], [3, 3, 0, 0, 0, 3, 3, 0, 0, 3, 3, 0, 3, 3, 0, 3, 0, 3, 0, 0], [3, 3, 3, 0, 3, 3, 0, 3, 0, 3, 3, 0, 0, 3, 3, 0, 3, 0, 0, 0], [3, 0, 3, 3, 0, 0, 3, 3, 3, 0, 0, 3, 0, 0, 3, 0, 3, 3, 3, 0], [0, 0, 6, 6, 6, 0, 6, 0, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 0], [6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 0, 6, 0, 0, 0, 6, 0, 6, 6, 6], [6, 6, 0, 6, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 6], [6, 6, 6, 6, 0, 0, 6, 6, 6, 6, 0, 6, 6, 0, 6, 0, 6, 0, 6, 0], [0, 6, 6, 0, 6, 6, 0, 6, 6, 6, 6, 6, 0, 0, 0, 6, 6, 6, 6, 6], [0, 0, 6, 6, 0, 0, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 0, 6, 0, 6], [0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 0, 6, 0, 0, 0, 0, 6, 0, 0], [6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 0], [6, 6, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6, 6, 6, 6, 0, 6, 0, 0, 6], [6, 0, 6, 6, 0, 6, 0, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6], [0, 0, 6, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6], [6, 6, 0, 0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 0], [0, 6, 0, 6, 6, 0, 6, 0, 6, 6, 0, 6, 0, 6, 6, 0, 6, 0, 6, 6], [6, 6, 0, 0, 6, 6, 0, 0, 0, 0, 6, 6, 0, 6, 6, 0, 6, 6, 6, 0], [0, 6, 6, 0, 0, 6, 0, 0, 6, 6, 0, 0, 0, 6, 0, 6, 6, 0, 6, 6], [0, 6, 6, 6, 6, 6, 0, 6, 0, 0, 0, 0, 0, 6, 0, 0, 6, 0, 0, 0], [0, 6, 0, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 0, 6, 6, 0, 6, 6, 0], [6, 6, 0, 6, 0, 0, 0, 6, 0, 6, 0, 6, 0, 0, 0, 6, 0, 6, 0, 0], [6, 6, 0, 0, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 6, 0, 0, 0], [0, 6, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 0, 0, 6, 6, 0, 6, 0, 0]] -> ",
+                "test": {
+                    "input": [
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+                        ]
+                    ],
+                    "output": [
+                        [
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+                    ]
+                }
+            },
+            "Replicate 3": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[5, 5, 5, 5, 0, 5, 5, 5, 5, 5, 0, 5, 5, 5, 0, 0, 0, 5, 0, 5], [5, 5, 0, 0, 5, 0, 0, 0, 5, 0, 5, 5, 5, 0, 5, 0, 5, 0, 5, 5], [5, 5, 5, 0, 0, 5, 5, 0, 0, 5, 5, 5, 0, 5, 5, 0, 5, 0, 0, 5], [5, 5, 5, 5, 0, 0, 5, 0, 5, 0, 5, 5, 0, 0, 5, 5, 0, 5, 5, 5], [0, 0, 5, 0, 5, 0, 5, 0, 0, 5, 0, 0, 0, 5, 0, 5, 5, 5, 0, 5], [5, 5, 0, 0, 0, 0, 5, 5, 0, 0, 5, 5, 5, 0, 5, 5, 0, 0, 5, 0], [5, 0, 5, 5, 0, 0, 0, 0, 5, 5, 0, 5, 0, 0, 0, 0, 5, 5, 0, 0], [0, 0, 5, 0, 0, 0, 5, 5, 5, 5, 5, 5, 5, 5, 0, 5, 0, 5, 5, 0], [5, 0, 5, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 5, 0, 0], [0, 5, 0, 5, 5, 5, 5, 5, 5, 5, 0, 5, 5, 0, 5, 0, 0, 0, 0, 5], [5, 0, 0, 5, 0, 5, 5, 0, 0, 5, 5, 0, 5, 5, 0, 0, 0, 0, 0, 0], [5, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 5, 5, 0, 5, 5, 5, 0, 0], [5, 0, 0, 5, 5, 0, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0, 0, 5, 0, 5], [0, 0, 0, 5, 5, 0, 5, 5, 5, 5, 5, 5, 0, 5, 0, 5, 5, 5, 5, 5], [5, 5, 5, 0, 5, 5, 5, 0, 5, 5, 0, 0, 5, 5, 0, 0, 5, 5, 5, 0], [0, 5, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 5, 0, 5], [5, 0, 5, 0, 5, 5, 0, 0, 5, 5, 0, 0, 5, 0, 5, 0, 5, 5, 0, 5], [5, 5, 5, 0, 0, 5, 0, 5, 0, 0, 0, 5, 0, 5, 0, 5, 5, 5, 5, 5], [5, 0, 0, 0, 5, 5, 5, 5, 5, 0, 5, 5, 0, 5, 0, 0, 5, 0, 0, 0], [0, 5, 0, 0, 0, 0, 5, 5, 5, 0, 5, 0, 5, 5, 5, 5, 5, 0, 0, 5], [0, 6, 0, 6, 0, 6, 6, 0, 0, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 0], [6, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 6, 0, 6, 0, 0, 0], [6, 0, 0, 6, 0, 6, 0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 0, 0, 0, 0], [6, 6, 0, 0, 0, 6, 0, 6, 6, 6, 0, 6, 0, 0, 6, 0, 0, 6, 6, 0], [0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 0, 0, 6], [0, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0], [6, 0, 0, 6, 6, 6, 0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 6, 6, 0, 6], [6, 6, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 6, 6], [6, 6, 6, 6, 6, 6, 0, 0, 0, 6, 0, 0, 6, 0, 0, 6, 6, 0, 0, 0], [6, 0, 6, 0, 0, 0, 0, 6, 6, 6, 0, 0, 6, 6, 0, 6, 0, 6, 6, 6], [0, 0, 6, 6, 6, 0, 6, 6, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6, 0, 0], [6, 6, 6, 0, 6, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 6, 6, 6, 0, 6], [6, 6, 0, 0, 0, 0, 6, 0, 6, 0, 0, 6, 6, 0, 0, 6, 6, 6, 6, 6], [0, 6, 6, 0, 6, 6, 0, 0, 0, 0, 6, 0, 0, 6, 6, 6, 6, 0, 6, 6], [6, 6, 6, 6, 6, 0, 0, 0, 6, 6, 0, 0, 6, 0, 6, 6, 6, 0, 6, 6], [6, 0, 6, 0, 6, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6, 6, 6, 6, 6, 6], [0, 6, 6, 6, 6, 0, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0], [0, 0, 6, 6, 6, 6, 0, 0, 6, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 6], [0, 6, 6, 6, 6, 0, 6, 0, 0, 6, 0, 6, 0, 6, 0, 0, 0, 0, 6, 0], [0, 0, 6, 0, 6, 0, 6, 0, 0, 6, 0, 0, 0, 6, 0, 6, 0, 6, 0, 6]] -> [[7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 0, 0, 7, 0, 7], [7, 0, 0, 0, 7, 0, 0, 0, 7, 0, 7, 7, 0, 0, 7, 0, 7, 0, 0, 0], [7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 7], [7, 7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 7, 0, 0, 7, 7, 0], [0, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 7], [0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 0], [7, 0, 7, 7, 7, 7, 0, 7, 7, 7, 0, 7, 7, 0, 7, 0, 7, 7, 0, 7], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 7, 0], [7, 7, 7, 7, 7, 7, 7, 0, 0, 7, 7, 0, 7, 0, 0, 7, 7, 7, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 7], [7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 0, 7, 0, 0], [7, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0], [7, 7, 0, 7, 7, 0, 7, 7, 7, 0, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7], [0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0, 0, 7, 0, 7, 7, 0, 7, 7], [7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7], [7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 7, 0, 7, 0], [0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 7]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 0, 6, 6, 6, 0, 0, 0, 0, 6, 0, 0, 0, 6, 0, 6, 0, 6, 0], [6, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 6, 6, 6, 6, 0, 0, 6, 0, 0], [0, 6, 0, 0, 6, 0, 6, 6, 6, 6, 6, 0, 0, 6, 6, 6, 6, 0, 6, 0], [0, 0, 0, 0, 6, 0, 0, 6, 0, 0, 6, 6, 6, 0, 6, 0, 6, 0, 0, 6], [0, 6, 6, 0, 0, 0, 6, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 0, 6, 0], [6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 6, 6, 0, 0, 0, 6, 6, 0, 6, 0], [6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 0, 6, 6, 6, 6], [6, 0, 6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 6, 0, 6, 0, 6, 6, 6, 0], [0, 0, 6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6, 0, 0, 6, 6], [6, 6, 6, 6, 0, 0, 6, 0, 6, 0, 0, 0, 0, 6, 6, 6, 0, 6, 6, 6], [0, 0, 6, 6, 0, 6, 0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 6, 0, 0, 0], [0, 6, 6, 6, 0, 6, 0, 0, 6, 0, 6, 0, 0, 6, 6, 6, 0, 6, 0, 0], [6, 0, 6, 6, 0, 0, 6, 6, 6, 0, 0, 6, 0, 0, 6, 0, 6, 6, 6, 6], [6, 0, 0, 6, 6, 6, 6, 0, 6, 6, 6, 0, 0, 6, 0, 6, 0, 0, 6, 6], [0, 6, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0], [0, 0, 6, 6, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 6, 0, 6, 0, 6, 6], [6, 6, 0, 6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 0, 6, 6, 6], [0, 6, 6, 0, 0, 6, 6, 6, 0, 0, 0, 6, 6, 6, 0, 6, 6, 6, 6, 6], [6, 6, 6, 0, 6, 6, 0, 6, 6, 0, 6, 0, 6, 6, 6, 6, 0, 0, 0, 0], [0, 6, 6, 0, 6, 6, 0, 6, 0, 6, 0, 6, 6, 0, 6, 0, 0, 6, 0, 6]] -> [[0, 7, 0, 7, 7, 7, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 7, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 7, 0, 7, 7, 7, 7, 7, 0, 0, 7, 7, 7, 7, 0, 7, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 7, 0, 0, 0, 7, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [7, 0, 0, 0, 0, 7, 7, 7, 7, 7, 0, 7, 7, 0, 7, 0, 7, 7, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 7, 7, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 0, 7, 0, 0, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [7, 0, 7, 7, 0, 0, 7, 7, 7, 0, 0, 7, 0, 0, 7, 0, 7, 7, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [7, 7, 0, 7, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0, 0, 7, 0, 7, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [7, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 0, 7, 7, 7, 7, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 5, 0, 0, 5, 5, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 5, 5, 0, 0], [0, 5, 5, 5, 0, 5, 5, 5, 0, 0, 5, 0, 5, 5, 0, 5, 5, 0, 5, 5], [5, 0, 0, 5, 0, 0, 5, 5, 0, 0, 0, 5, 0, 0, 5, 0, 0, 5, 0, 0], [5, 0, 0, 5, 5, 5, 5, 0, 0, 5, 5, 5, 5, 0, 0, 5, 5, 0, 5, 5], [0, 5, 0, 5, 0, 5, 5, 5, 5, 5, 0, 0, 0, 5, 5, 5, 0, 5, 0, 5], [0, 5, 5, 5, 5, 5, 0, 5, 5, 5, 5, 5, 5, 0, 0, 0, 5, 5, 0, 0], [5, 0, 5, 0, 5, 0, 0, 0, 5, 5, 0, 5, 5, 0, 5, 0, 5, 5, 5, 5], [5, 5, 5, 5, 0, 5, 0, 5, 5, 0, 0, 5, 0, 0, 0, 5, 5, 0, 5, 5], [0, 5, 5, 5, 5, 5, 5, 5, 0, 5, 0, 0, 0, 0, 5, 0, 0, 5, 0, 0], [5, 5, 5, 0, 0, 5, 5, 0, 5, 5, 5, 0, 0, 0, 0, 0, 5, 0, 0, 5], [5, 0, 0, 0, 5, 5, 5, 5, 0, 5, 0, 0, 5, 5, 5, 0, 5, 5, 5, 5], [5, 5, 5, 5, 0, 0, 5, 5, 5, 5, 0, 5, 5, 5, 5, 5, 0, 0, 0, 0], [0, 5, 5, 5, 5, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 5, 5, 0, 5, 5], [0, 0, 0, 5, 0, 5, 0, 5, 0, 5, 0, 5, 0, 5, 5, 0, 0, 5, 0, 0], [0, 0, 5, 5, 0, 5, 0, 5, 5, 0, 5, 0, 0, 0, 0, 5, 0, 0, 5, 5], [0, 0, 5, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 5, 0, 5, 5, 0, 5, 5], [0, 5, 0, 5, 5, 0, 5, 5, 5, 0, 0, 0, 0, 0, 5, 0, 5, 0, 5, 5], [5, 0, 0, 0, 5, 0, 0, 5, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 5, 5], [0, 5, 5, 0, 5, 0, 0, 5, 5, 5, 5, 0, 5, 5, 0, 5, 5, 0, 5, 0], [0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0, 5, 5, 0], [6, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 6, 6, 0, 6], [0, 0, 6, 6, 0, 6, 0, 0, 6, 6, 6, 0, 6, 0, 6, 6, 0, 0, 0, 0], [0, 6, 6, 6, 6, 6, 0, 0, 6, 6, 6, 6, 0, 6, 0, 0, 0, 0, 0, 0], [0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0], [0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6], [0, 6, 0, 6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0], [0, 6, 0, 6, 0, 6, 6, 0, 0, 0, 6, 0, 0, 6, 6, 6, 6, 0, 6, 6], [0, 0, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0, 6], [6, 0, 0, 6, 6, 6, 0, 0, 6, 6, 0, 6, 0, 6, 6, 6, 6, 0, 0, 6], [0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6, 0, 6, 6, 0, 0, 0, 6, 6, 6], [6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 6, 6, 0, 0], [0, 0, 0, 0, 0, 6, 0, 6, 0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 6, 6], [0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 0, 6, 6, 6, 6, 0, 0, 0, 6, 6], [0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 6, 0, 0, 6, 6, 6, 0], [6, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0, 6, 0, 0, 6, 6], [6, 0, 6, 0, 0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 6, 0, 6, 0, 0, 0], [6, 6, 0, 6, 6, 6, 0, 0, 6, 6, 0, 6, 0, 0, 6, 0, 0, 0, 6, 6], [6, 0, 0, 6, 6, 0, 6, 0, 0, 0, 6, 0, 6, 0, 6, 0, 0, 6, 6, 0], [0, 0, 6, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 0, 0, 0], [6, 0, 6, 6, 6, 6, 6, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6, 6, 0, 6]] -> [[7, 7, 0, 0, 7, 7, 0, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7], [0, 0, 7, 7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 0, 0, 7, 0, 0, 0, 0], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 0, 0, 7, 0, 0], [0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 7], [0, 7, 0, 7, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0], [7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 7, 7, 0, 7, 0, 7, 7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 7, 7, 7, 7, 7, 0, 7], [0, 7, 7, 0, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7], [7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7], [0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0], [0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7], [0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0], [7, 0, 7, 7, 7, 7, 0, 7, 7, 7, 7, 0, 0, 0, 0, 7, 0, 0, 7, 7], [0, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0], [7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 7, 0, 7, 0, 7, 7], [7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0], [0, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 0], [0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 4, 0, 0, 4, 4, 0, 0, 0, 4, 4, 4, 0, 4, 4, 4, 4, 4, 0, 0], [0, 4, 4, 4, 0, 4, 4, 4, 0, 0, 4, 0, 4, 4, 0, 4, 4, 0, 4, 4], [4, 0, 0, 4, 0, 0, 4, 4, 0, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0], [4, 0, 0, 4, 4, 4, 4, 0, 0, 4, 4, 4, 4, 0, 0, 4, 4, 0, 4, 4], [0, 4, 0, 4, 0, 4, 4, 4, 4, 4, 0, 0, 0, 4, 4, 4, 0, 4, 0, 4], [0, 4, 4, 4, 4, 4, 0, 4, 4, 4, 4, 4, 4, 0, 0, 0, 4, 4, 0, 0], [4, 0, 4, 0, 4, 0, 0, 0, 4, 4, 0, 4, 4, 0, 4, 0, 4, 4, 4, 4], [4, 4, 4, 4, 0, 4, 0, 4, 4, 0, 0, 4, 0, 0, 0, 4, 4, 0, 4, 4], [0, 4, 4, 4, 4, 4, 4, 4, 0, 4, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0], [4, 4, 4, 0, 0, 4, 4, 0, 4, 4, 4, 0, 0, 0, 0, 0, 4, 0, 0, 4], [4, 0, 0, 0, 4, 4, 4, 4, 0, 4, 0, 0, 4, 4, 4, 0, 4, 4, 4, 4], [4, 4, 4, 4, 0, 0, 4, 4, 4, 4, 0, 4, 4, 4, 4, 4, 0, 0, 0, 0], [0, 4, 4, 4, 4, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 4, 4, 0, 4, 4], [0, 0, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 4, 0, 0, 4, 0, 0], [0, 0, 4, 4, 0, 4, 0, 4, 4, 0, 4, 0, 0, 0, 0, 4, 0, 0, 4, 4], [0, 0, 4, 0, 4, 0, 4, 0, 0, 4, 0, 4, 0, 4, 0, 4, 4, 0, 4, 4], [0, 4, 0, 4, 4, 0, 4, 4, 4, 0, 0, 0, 0, 0, 4, 0, 4, 0, 4, 4], [4, 0, 0, 0, 4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 4, 4], [0, 4, 4, 0, 4, 0, 0, 4, 4, 4, 4, 0, 4, 4, 0, 4, 4, 0, 4, 0], [0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 4, 0, 4, 4, 0], [6, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 6, 6, 0, 6], [0, 0, 6, 6, 0, 6, 0, 0, 6, 6, 6, 0, 6, 0, 6, 6, 0, 0, 0, 0], [0, 6, 6, 6, 6, 6, 0, 0, 6, 6, 6, 6, 0, 6, 0, 0, 0, 0, 0, 0], [0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0], [0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6], [0, 6, 0, 6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0], [0, 6, 0, 6, 0, 6, 6, 0, 0, 0, 6, 0, 0, 6, 6, 6, 6, 0, 6, 6], [0, 0, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0, 6], [6, 0, 0, 6, 6, 6, 0, 0, 6, 6, 0, 6, 0, 6, 6, 6, 6, 0, 0, 6], [0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6, 0, 6, 6, 0, 0, 0, 6, 6, 6], [6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 6, 6, 0, 0], [0, 0, 0, 0, 0, 6, 0, 6, 0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 6, 6], [0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 0, 6, 6, 6, 6, 0, 0, 0, 6, 6], [0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 6, 0, 0, 6, 6, 6, 0], [6, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0, 6, 0, 0, 6, 6], [6, 0, 6, 0, 0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 6, 0, 6, 0, 0, 0], [6, 6, 0, 6, 6, 6, 0, 0, 6, 6, 0, 6, 0, 0, 6, 0, 0, 0, 6, 6], [6, 0, 0, 6, 6, 0, 6, 0, 0, 0, 6, 0, 6, 0, 6, 0, 0, 6, 6, 0], [0, 0, 6, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 0, 0, 0], [6, 0, 6, 6, 6, 6, 6, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6, 6, 0, 6]] -> ",
+                "test": {
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+            },
+            "Replicate 4": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[5, 5, 5, 5, 0, 5, 5, 5, 5, 5, 0, 5, 5, 5, 0, 0, 0, 5, 0, 5], [5, 5, 0, 0, 5, 0, 0, 0, 5, 0, 5, 5, 5, 0, 5, 0, 5, 0, 5, 5], [5, 5, 5, 0, 0, 5, 5, 0, 0, 5, 5, 5, 0, 5, 5, 0, 5, 0, 0, 5], [5, 5, 5, 5, 0, 0, 5, 0, 5, 0, 5, 5, 0, 0, 5, 5, 0, 5, 5, 5], [0, 0, 5, 0, 5, 0, 5, 0, 0, 5, 0, 0, 0, 5, 0, 5, 5, 5, 0, 5], [5, 5, 0, 0, 0, 0, 5, 5, 0, 0, 5, 5, 5, 0, 5, 5, 0, 0, 5, 0], [5, 0, 5, 5, 0, 0, 0, 0, 5, 5, 0, 5, 0, 0, 0, 0, 5, 5, 0, 0], [0, 0, 5, 0, 0, 0, 5, 5, 5, 5, 5, 5, 5, 5, 0, 5, 0, 5, 5, 0], [5, 0, 5, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 5, 0, 0], [0, 5, 0, 5, 5, 5, 5, 5, 5, 5, 0, 5, 5, 0, 5, 0, 0, 0, 0, 5], [5, 0, 0, 5, 0, 5, 5, 0, 0, 5, 5, 0, 5, 5, 0, 0, 0, 0, 0, 0], [5, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 5, 5, 0, 5, 5, 5, 0, 0], [5, 0, 0, 5, 5, 0, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0, 0, 5, 0, 5], [0, 0, 0, 5, 5, 0, 5, 5, 5, 5, 5, 5, 0, 5, 0, 5, 5, 5, 5, 5], [5, 5, 5, 0, 5, 5, 5, 0, 5, 5, 0, 0, 5, 5, 0, 0, 5, 5, 5, 0], [0, 5, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 5, 0, 5], [5, 0, 5, 0, 5, 5, 0, 0, 5, 5, 0, 0, 5, 0, 5, 0, 5, 5, 0, 5], [5, 5, 5, 0, 0, 5, 0, 5, 0, 0, 0, 5, 0, 5, 0, 5, 5, 5, 5, 5], [5, 0, 0, 0, 5, 5, 5, 5, 5, 0, 5, 5, 0, 5, 0, 0, 5, 0, 0, 0], [0, 5, 0, 0, 0, 0, 5, 5, 5, 0, 5, 0, 5, 5, 5, 5, 5, 0, 0, 5], [0, 6, 0, 6, 0, 6, 6, 0, 0, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 0], [6, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 6, 0, 6, 0, 0, 0], [6, 0, 0, 6, 0, 6, 0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 0, 0, 0, 0], [6, 6, 0, 0, 0, 6, 0, 6, 6, 6, 0, 6, 0, 0, 6, 0, 0, 6, 6, 0], [0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 0, 0, 6], [0, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0], [6, 0, 0, 6, 6, 6, 0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 6, 6, 0, 6], [6, 6, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 6, 6], [6, 6, 6, 6, 6, 6, 0, 0, 0, 6, 0, 0, 6, 0, 0, 6, 6, 0, 0, 0], [6, 0, 6, 0, 0, 0, 0, 6, 6, 6, 0, 0, 6, 6, 0, 6, 0, 6, 6, 6], [0, 0, 6, 6, 6, 0, 6, 6, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6, 0, 0], [6, 6, 6, 0, 6, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 6, 6, 6, 0, 6], [6, 6, 0, 0, 0, 0, 6, 0, 6, 0, 0, 6, 6, 0, 0, 6, 6, 6, 6, 6], [0, 6, 6, 0, 6, 6, 0, 0, 0, 0, 6, 0, 0, 6, 6, 6, 6, 0, 6, 6], [6, 6, 6, 6, 6, 0, 0, 0, 6, 6, 0, 0, 6, 0, 6, 6, 6, 0, 6, 6], [6, 0, 6, 0, 6, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6, 6, 6, 6, 6, 6], [0, 6, 6, 6, 6, 0, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0], [0, 0, 6, 6, 6, 6, 0, 0, 6, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 6], [0, 6, 6, 6, 6, 0, 6, 0, 0, 6, 0, 6, 0, 6, 0, 0, 0, 0, 6, 0], [0, 0, 6, 0, 6, 0, 6, 0, 0, 6, 0, 0, 0, 6, 0, 6, 0, 6, 0, 6]] -> [[7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 0, 0, 7, 0, 7], [7, 0, 0, 0, 7, 0, 0, 0, 7, 0, 7, 7, 0, 0, 7, 0, 7, 0, 0, 0], [7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 7], [7, 7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 7, 0, 0, 7, 7, 0], [0, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 7], [0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 0], [7, 0, 7, 7, 7, 7, 0, 7, 7, 7, 0, 7, 7, 0, 7, 0, 7, 7, 0, 7], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 7, 0], [7, 7, 7, 7, 7, 7, 7, 0, 0, 7, 7, 0, 7, 0, 0, 7, 7, 7, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 7], [7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 0, 7, 0, 0], [7, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0], [7, 7, 0, 7, 7, 0, 7, 7, 7, 0, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7], [0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0, 0, 7, 0, 7, 7, 0, 7, 7], [7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7], [7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 7, 0, 7, 0], [0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 7]]\nExample input-output arrays:\n[[5, 5, 5, 5, 0, 5, 5, 5, 5, 5, 0, 5, 5, 5, 0, 0, 0, 5, 0, 5], [5, 5, 0, 0, 5, 0, 0, 0, 5, 0, 5, 5, 5, 0, 5, 0, 5, 0, 5, 5], [5, 5, 5, 0, 0, 5, 5, 0, 0, 5, 5, 5, 0, 5, 5, 0, 5, 0, 0, 5], [5, 5, 5, 5, 0, 0, 5, 0, 5, 0, 5, 5, 0, 0, 5, 5, 0, 5, 5, 5], [0, 0, 5, 0, 5, 0, 5, 0, 0, 5, 0, 0, 0, 5, 0, 5, 5, 5, 0, 5], [5, 5, 0, 0, 0, 0, 5, 5, 0, 0, 5, 5, 5, 0, 5, 5, 0, 0, 5, 0], [5, 0, 5, 5, 0, 0, 0, 0, 5, 5, 0, 5, 0, 0, 0, 0, 5, 5, 0, 0], [0, 0, 5, 0, 0, 0, 5, 5, 5, 5, 5, 5, 5, 5, 0, 5, 0, 5, 5, 0], [5, 0, 5, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 5, 0, 0], [0, 5, 0, 5, 5, 5, 5, 5, 5, 5, 0, 5, 5, 0, 5, 0, 0, 0, 0, 5], [5, 0, 0, 5, 0, 5, 5, 0, 0, 5, 5, 0, 5, 5, 0, 0, 0, 0, 0, 0], [5, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 5, 5, 0, 5, 5, 5, 0, 0], [5, 0, 0, 5, 5, 0, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0, 0, 5, 0, 5], [0, 0, 0, 5, 5, 0, 5, 5, 5, 5, 5, 5, 0, 5, 0, 5, 5, 5, 5, 5], [5, 5, 5, 0, 5, 5, 5, 0, 5, 5, 0, 0, 5, 5, 0, 0, 5, 5, 5, 0], [0, 5, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 5, 0, 5], [5, 0, 5, 0, 5, 5, 0, 0, 5, 5, 0, 0, 5, 0, 5, 0, 5, 5, 0, 5], [5, 5, 5, 0, 0, 5, 0, 5, 0, 0, 0, 5, 0, 5, 0, 5, 5, 5, 5, 5], [5, 0, 0, 0, 5, 5, 5, 5, 5, 0, 5, 5, 0, 5, 0, 0, 5, 0, 0, 0], [0, 5, 0, 0, 0, 0, 5, 5, 5, 0, 5, 0, 5, 5, 5, 5, 5, 0, 0, 5], [0, 6, 0, 6, 0, 6, 6, 0, 0, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 0], [6, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 6, 0, 6, 0, 0, 0], [6, 0, 0, 6, 0, 6, 0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 0, 0, 0, 0], [6, 6, 0, 0, 0, 6, 0, 6, 6, 6, 0, 6, 0, 0, 6, 0, 0, 6, 6, 0], [0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 0, 0, 6], [0, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0], [6, 0, 0, 6, 6, 6, 0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 6, 6, 0, 6], [6, 6, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 6, 6], [6, 6, 6, 6, 6, 6, 0, 0, 0, 6, 0, 0, 6, 0, 0, 6, 6, 0, 0, 0], [6, 0, 6, 0, 0, 0, 0, 6, 6, 6, 0, 0, 6, 6, 0, 6, 0, 6, 6, 6], [0, 0, 6, 6, 6, 0, 6, 6, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6, 0, 0], [6, 6, 6, 0, 6, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 6, 6, 6, 0, 6], [6, 6, 0, 0, 0, 0, 6, 0, 6, 0, 0, 6, 6, 0, 0, 6, 6, 6, 6, 6], [0, 6, 6, 0, 6, 6, 0, 0, 0, 0, 6, 0, 0, 6, 6, 6, 6, 0, 6, 6], [6, 6, 6, 6, 6, 0, 0, 0, 6, 6, 0, 0, 6, 0, 6, 6, 6, 0, 6, 6], [6, 0, 6, 0, 6, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6, 6, 6, 6, 6, 6], [0, 6, 6, 6, 6, 0, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0], [0, 0, 6, 6, 6, 6, 0, 0, 6, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 6], [0, 6, 6, 6, 6, 0, 6, 0, 0, 6, 0, 6, 0, 6, 0, 0, 0, 0, 6, 0], [0, 0, 6, 0, 6, 0, 6, 0, 0, 6, 0, 0, 0, 6, 0, 6, 0, 6, 0, 6]] -> [[7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 0, 0, 7, 0, 7], [7, 0, 0, 0, 7, 0, 0, 0, 7, 0, 7, 7, 0, 0, 7, 0, 7, 0, 0, 0], [7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 7], [7, 7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 7, 0, 0, 7, 7, 0], [0, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 7], [0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 0], [7, 0, 7, 7, 7, 7, 0, 7, 7, 7, 0, 7, 7, 0, 7, 0, 7, 7, 0, 7], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 7, 0], [7, 7, 7, 7, 7, 7, 7, 0, 0, 7, 7, 0, 7, 0, 0, 7, 7, 7, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 7], [7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 0, 7, 0, 0], [7, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0], [7, 7, 0, 7, 7, 0, 7, 7, 7, 0, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7], [0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0, 0, 7, 0, 7, 7, 0, 7, 7], [7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7], [7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 7, 0, 7, 0], [0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 7]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2], [2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2], [2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2], [2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2], [0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2], [2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0], [2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0], [0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0], [2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0], [0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2], [2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0], [2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2], [0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2], [2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0], [0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2], [2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2], [2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2], [2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0], [0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2], [0, 6, 0, 6, 0, 6, 6, 0, 0, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 0], [6, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 6, 0, 6, 0, 0, 0], [6, 0, 0, 6, 0, 6, 0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 0, 0, 0, 0], [6, 6, 0, 0, 0, 6, 0, 6, 6, 6, 0, 6, 0, 0, 6, 0, 0, 6, 6, 0], [0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 0, 0, 6], [0, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0], [6, 0, 0, 6, 6, 6, 0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 6, 6, 0, 6], [6, 6, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 6, 6], [6, 6, 6, 6, 6, 6, 0, 0, 0, 6, 0, 0, 6, 0, 0, 6, 6, 0, 0, 0], [6, 0, 6, 0, 0, 0, 0, 6, 6, 6, 0, 0, 6, 6, 0, 6, 0, 6, 6, 6], [0, 0, 6, 6, 6, 0, 6, 6, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6, 0, 0], [6, 6, 6, 0, 6, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 6, 6, 6, 0, 6], [6, 6, 0, 0, 0, 0, 6, 0, 6, 0, 0, 6, 6, 0, 0, 6, 6, 6, 6, 6], [0, 6, 6, 0, 6, 6, 0, 0, 0, 0, 6, 0, 0, 6, 6, 6, 6, 0, 6, 6], [6, 6, 6, 6, 6, 0, 0, 0, 6, 6, 0, 0, 6, 0, 6, 6, 6, 0, 6, 6], [6, 0, 6, 0, 6, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6, 6, 6, 6, 6, 6], [0, 6, 6, 6, 6, 0, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0], [0, 0, 6, 6, 6, 6, 0, 0, 6, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 6], [0, 6, 6, 6, 6, 0, 6, 0, 0, 6, 0, 6, 0, 6, 0, 0, 0, 0, 6, 0], [0, 0, 6, 0, 6, 0, 6, 0, 0, 6, 0, 0, 0, 6, 0, 6, 0, 6, 0, 6]] -> ",
+                "test": {
+                    "input": [
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+                }
+            }
+        }
+    },
+    "SCMtcbq!and!xor!10x10": {
+        "L1": {
+            "Replicate 0": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[2, 2, 0, 0, 2, 2, 0, 0, 0, 0], [0, 0, 2, 2, 0, 2, 0, 2, 0, 2], [2, 2, 0, 0, 2, 2, 0, 0, 2, 2], [2, 0, 0, 2, 0, 0, 0, 2, 2, 0], [2, 0, 0, 2, 2, 2, 0, 0, 0, 2], [0, 2, 0, 2, 2, 2, 0, 2, 2, 2], [2, 0, 2, 2, 2, 2, 2, 0, 0, 2], [0, 2, 2, 0, 2, 0, 0, 0, 2, 0], [2, 2, 0, 0, 0, 2, 2, 0, 0, 2], [2, 0, 2, 0, 0, 0, 2, 2, 2, 2], [1, 0, 1, 0, 0, 1, 1, 1, 0, 1], [0, 1, 1, 0, 1, 1, 1, 0, 0, 1], [0, 0, 0, 1, 0, 0, 1, 0, 1, 1], [1, 1, 0, 1, 1, 0, 1, 0, 0, 0], [1, 0, 0, 0, 1, 1, 1, 0, 0, 0], [0, 0, 1, 1, 0, 0, 0, 1, 0, 0], [1, 1, 0, 0, 0, 1, 1, 1, 0, 1], [1, 1, 1, 0, 1, 0, 1, 0, 1, 1], [1, 0, 1, 0, 0, 1, 1, 1, 1, 0], [0, 1, 0, 1, 0, 0, 1, 0, 1, 1], [0, 4, 4, 4, 0, 4, 0, 0, 4, 0], [0, 4, 0, 0, 0, 0, 0, 0, 0, 4], [0, 4, 4, 4, 0, 0, 4, 4, 0, 4], [0, 4, 4, 0, 0, 4, 4, 0, 0, 4], [0, 0, 0, 0, 0, 0, 4, 0, 4, 0], [4, 4, 0, 4, 0, 4, 4, 0, 0, 4], [4, 0, 0, 4, 4, 4, 0, 4, 4, 0], [0, 4, 0, 4, 4, 4, 0, 4, 4, 4], [4, 4, 0, 0, 0, 0, 4, 4, 0, 4], [0, 0, 4, 0, 0, 0, 0, 4, 4, 4]] -> [[6, 6, 6, 6, 0, 0, 0, 0, 6, 0], [0, 6, 6, 0, 0, 6, 0, 0, 0, 0], [0, 6, 6, 6, 0, 0, 6, 6, 6, 0], [6, 6, 6, 6, 0, 6, 6, 0, 0, 6], [6, 0, 0, 0, 6, 6, 6, 0, 6, 0], [6, 6, 0, 0, 0, 6, 6, 6, 0, 6], [0, 0, 0, 6, 6, 0, 6, 6, 6, 6], [0, 0, 6, 6, 0, 6, 0, 6, 0, 6], [0, 6, 0, 0, 0, 6, 0, 6, 0, 6], [0, 0, 6, 0, 0, 0, 6, 6, 0, 0]]\nExample input-output arrays:\n[[2, 0, 2, 0, 0, 0, 2, 0, 2, 2], [0, 0, 0, 2, 0, 2, 2, 2, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 2, 2], [2, 0, 2, 2, 2, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 2, 2, 2, 2, 0], [2, 2, 0, 2, 2, 2, 2, 2, 2, 0], [0, 0, 2, 2, 0, 0, 0, 2, 2, 2], [0, 2, 2, 0, 2, 2, 0, 2, 0, 2], [2, 0, 2, 0, 2, 2, 0, 0, 0, 2], [0, 2, 2, 0, 0, 0, 2, 0, 0, 2], [0, 0, 1, 0, 1, 1, 1, 1, 1, 0], [0, 0, 1, 0, 1, 0, 0, 0, 1, 0], [1, 0, 1, 0, 1, 0, 1, 0, 0, 0], [0, 0, 1, 1, 1, 1, 0, 0, 0, 1], [1, 0, 1, 1, 1, 0, 1, 1, 1, 1], [0, 1, 1, 0, 0, 1, 0, 0, 1, 1], [1, 0, 0, 0, 1, 0, 1, 0, 0, 0], [0, 0, 1, 1, 0, 1, 0, 1, 1, 0], [0, 1, 1, 0, 0, 0, 1, 0, 1, 1], [0, 1, 1, 1, 0, 1, 0, 0, 1, 1], [4, 4, 4, 4, 4, 4, 4, 4, 0, 0], [4, 4, 4, 0, 4, 4, 0, 0, 0, 0], [0, 4, 4, 4, 0, 4, 4, 4, 0, 0], [4, 0, 4, 4, 0, 4, 4, 4, 4, 0], [4, 0, 4, 0, 0, 0, 0, 4, 0, 0], [0, 4, 4, 4, 0, 4, 0, 0, 4, 0], [4, 4, 0, 4, 0, 0, 0, 0, 4, 0], [4, 4, 0, 4, 0, 0, 4, 0, 4, 4], [4, 0, 0, 4, 4, 4, 4, 0, 4, 4], [0, 0, 0, 4, 4, 4, 4, 4, 4, 4]] -> [[6, 6, 0, 6, 6, 6, 0, 6, 6, 0], [6, 6, 6, 0, 6, 6, 0, 0, 0, 0], [0, 6, 6, 6, 0, 6, 6, 6, 0, 0], [6, 0, 0, 0, 6, 6, 6, 6, 6, 0], [6, 0, 6, 0, 0, 0, 6, 0, 6, 0], [0, 0, 6, 6, 0, 0, 0, 0, 0, 0], [6, 6, 0, 6, 0, 0, 0, 0, 6, 0], [6, 6, 6, 6, 0, 6, 6, 6, 6, 6], [6, 0, 6, 6, 6, 6, 6, 0, 6, 0], [0, 6, 6, 6, 6, 6, 6, 6, 6, 0]]\nExample input-output arrays:\n[[0, 0, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 0, 2, 2, 0, 0, 2, 2, 0], [0, 2, 0, 0, 2, 2, 2, 0, 0, 0], [0, 0, 0, 0, 0, 2, 2, 0, 2, 2], [2, 0, 2, 0, 0, 0, 2, 2, 2, 2], [2, 2, 2, 0, 0, 0, 0, 2, 0, 0], [0, 0, 2, 2, 2, 2, 2, 0, 0, 0], [0, 2, 0, 0, 2, 0, 0, 0, 0, 2], [0, 0, 2, 2, 0, 0, 0, 0, 2, 2], [2, 0, 0, 0, 0, 0, 2, 2, 2, 0], [0, 1, 1, 0, 1, 0, 0, 1, 0, 1], [1, 1, 0, 0, 0, 0, 1, 1, 0, 1], [1, 0, 0, 1, 1, 1, 0, 1, 1, 0], [1, 1, 0, 1, 1, 0, 0, 0, 1, 0], [1, 0, 1, 1, 0, 0, 1, 0, 0, 1], [0, 0, 0, 1, 0, 0, 0, 1, 1, 0], [0, 0, 1, 1, 0, 0, 0, 0, 1, 0], [0, 1, 0, 1, 0, 1, 0, 0, 1, 0], [1, 0, 1, 0, 0, 1, 0, 1, 0, 1], [1, 0, 0, 0, 0, 0, 1, 0, 0, 0], [0, 0, 4, 4, 4, 4, 4, 0, 0, 0], [0, 4, 4, 4, 0, 4, 4, 0, 0, 0], [4, 4, 4, 4, 4, 4, 4, 0, 4, 4], [4, 0, 4, 0, 4, 0, 0, 0, 4, 4], [4, 4, 4, 4, 4, 0, 0, 4, 4, 0], [4, 0, 0, 4, 0, 0, 0, 0, 4, 0], [4, 0, 4, 0, 0, 4, 0, 4, 0, 0], [0, 0, 0, 4, 0, 0, 0, 0, 4, 0], [0, 4, 0, 0, 4, 0, 4, 4, 0, 4], [4, 4, 4, 4, 4, 0, 0, 4, 0, 4]] -> [[0, 0, 0, 6, 0, 6, 6, 6, 0, 6], [6, 0, 6, 6, 0, 6, 6, 6, 0, 0], [6, 6, 6, 6, 0, 0, 6, 0, 6, 6], [6, 0, 6, 0, 6, 0, 0, 0, 0, 6], [0, 6, 0, 6, 6, 0, 6, 6, 6, 6], [6, 0, 0, 6, 0, 0, 0, 6, 6, 0], [6, 0, 0, 6, 0, 6, 0, 6, 0, 0], [0, 6, 0, 6, 0, 0, 0, 0, 6, 0], [0, 6, 6, 0, 6, 0, 6, 6, 0, 0], [0, 6, 6, 6, 6, 0, 6, 6, 0, 6]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 0, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 0, 2, 2, 0, 0, 2, 2, 0], [0, 2, 0, 0, 2, 2, 2, 0, 0, 0], [0, 0, 0, 0, 0, 2, 2, 0, 2, 2], [2, 0, 2, 0, 0, 0, 2, 2, 2, 2], [2, 2, 2, 0, 0, 0, 0, 2, 0, 0], [0, 0, 2, 2, 2, 2, 2, 0, 0, 0], [0, 2, 0, 0, 2, 0, 0, 0, 0, 2], [0, 0, 2, 2, 0, 0, 0, 0, 2, 2], [2, 0, 0, 0, 0, 0, 2, 2, 2, 0], [0, 3, 3, 0, 3, 0, 0, 3, 0, 3], [3, 3, 0, 0, 0, 0, 3, 3, 0, 3], [3, 0, 0, 3, 3, 3, 0, 3, 3, 0], [3, 3, 0, 3, 3, 0, 0, 0, 3, 0], [3, 0, 3, 3, 0, 0, 3, 0, 0, 3], [0, 0, 0, 3, 0, 0, 0, 3, 3, 0], [0, 0, 3, 3, 0, 0, 0, 0, 3, 0], [0, 3, 0, 3, 0, 3, 0, 0, 3, 0], [3, 0, 3, 0, 0, 3, 0, 3, 0, 3], [3, 0, 0, 0, 0, 0, 3, 0, 0, 0], [0, 0, 4, 4, 4, 4, 4, 0, 0, 0], [0, 4, 4, 4, 0, 4, 4, 0, 0, 0], [4, 4, 4, 4, 4, 4, 4, 0, 4, 4], [4, 0, 4, 0, 4, 0, 0, 0, 4, 4], [4, 4, 4, 4, 4, 0, 0, 4, 4, 0], [4, 0, 0, 4, 0, 0, 0, 0, 4, 0], [4, 0, 4, 0, 0, 4, 0, 4, 0, 0], [0, 0, 0, 4, 0, 0, 0, 0, 4, 0], [0, 4, 0, 0, 4, 0, 4, 4, 0, 4], [4, 4, 4, 4, 4, 0, 0, 4, 0, 4]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0
+                        ],
+                        [
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2
+                        ],
+                        [
+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0
+                        ],
+                        [
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3
+                        ],
+                        [
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0
+                        ],
+                        [
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0
+                        ],
+                        [
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0
+                        ],
+                        [
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0
+                        ],
+                        [
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3
+                        ],
+                        [
+                            3,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            4,
+                            4,
+                            4,
+                            0,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            0,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            0,
+                            4,
+                            0,
+                            4,
+                            0,
+                            0,
+                            0,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            4,
+                            4,
+                            0
+                        ],
+                        [
+                            4,
+                            0,
+                            0,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0,
+                            4,
+                            0
+                        ],
+                        [
+                            4,
+                            0,
+                            4,
+                            0,
+                            0,
+                            4,
+                            0,
+                            4,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0,
+                            4,
+                            0
+                        ],
+                        [
+                            0,
+                            4,
+                            0,
+                            0,
+                            4,
+                            0,
+                            4,
+                            4,
+                            0,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            4,
+                            0,
+                            4
+                        ]
+                    ],
+                    "output": [
+                        [
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6
+                        ],
+                        [
+                            6,
+                            0,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            6,
+                            6,
+                            0
+                        ],
+                        [
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0
+                        ],
+                        [
+                            0,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0,
+                            6
+                        ]
+                    ]
+                }
+            },
+            "Replicate 1": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 2, 2, 2, 2, 0, 0, 0, 0, 2], [2, 2, 2, 2, 2, 2, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 2, 0, 0, 0], [0, 0, 0, 2, 0, 2, 0, 0, 0, 0], [2, 0, 2, 2, 2, 2, 2, 0, 0, 2], [2, 2, 0, 2, 0, 0, 0, 0, 2, 0], [2, 0, 0, 0, 2, 0, 2, 2, 0, 2], [0, 0, 2, 0, 0, 2, 2, 0, 2, 0], [0, 2, 0, 0, 2, 0, 2, 2, 0, 0], [0, 2, 0, 2, 2, 2, 2, 2, 2, 2], [0, 0, 0, 0, 0, 0, 0, 1, 1, 0], [0, 1, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 1, 0, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 0, 0], [0, 0, 1, 0, 1, 1, 1, 0, 1, 0], [0, 1, 0, 1, 1, 0, 0, 1, 1, 1], [0, 1, 0, 1, 1, 1, 1, 0, 1, 1], [1, 0, 0, 0, 0, 1, 1, 0, 0, 1], [1, 1, 0, 1, 0, 0, 0, 0, 1, 0], [1, 0, 0, 1, 0, 0, 0, 0, 1, 0], [0, 4, 0, 4, 4, 0, 0, 4, 4, 0], [0, 0, 4, 4, 4, 0, 4, 0, 0, 0], [0, 0, 0, 0, 0, 4, 0, 0, 0, 4], [4, 0, 0, 0, 4, 0, 4, 0, 4, 0], [0, 0, 4, 4, 4, 4, 0, 0, 0, 4], [4, 4, 4, 0, 0, 0, 0, 0, 0, 4], [4, 0, 4, 4, 0, 0, 0, 4, 0, 4], [4, 0, 0, 0, 0, 0, 4, 4, 4, 0], [0, 0, 0, 4, 0, 4, 4, 0, 4, 4], [4, 0, 0, 4, 0, 0, 0, 4, 0, 0]] -> [[0, 6, 0, 6, 6, 0, 0, 6, 6, 0], [0, 6, 0, 6, 6, 0, 6, 0, 0, 0], [0, 0, 0, 0, 0, 6, 0, 0, 0, 6], [6, 0, 0, 6, 6, 6, 6, 0, 6, 0], [0, 0, 0, 6, 0, 0, 6, 0, 0, 6], [6, 0, 6, 6, 0, 0, 0, 0, 6, 6], [6, 0, 6, 6, 6, 0, 6, 6, 0, 0], [6, 0, 0, 0, 0, 6, 0, 6, 6, 0], [0, 6, 0, 6, 0, 6, 6, 0, 6, 6], [6, 0, 0, 0, 0, 0, 0, 6, 6, 0]]\nExample input-output arrays:\n[[0, 0, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 0, 2, 2, 0, 0, 2, 2, 0], [0, 2, 0, 0, 2, 2, 2, 0, 0, 0], [0, 0, 0, 0, 0, 2, 2, 0, 2, 2], [2, 0, 2, 0, 0, 0, 2, 2, 2, 2], [2, 2, 2, 0, 0, 0, 0, 2, 0, 0], [0, 0, 2, 2, 2, 2, 2, 0, 0, 0], [0, 2, 0, 0, 2, 0, 0, 0, 0, 2], [0, 0, 2, 2, 0, 0, 0, 0, 2, 2], [2, 0, 0, 0, 0, 0, 2, 2, 2, 0], [0, 1, 1, 0, 1, 0, 0, 1, 0, 1], [1, 1, 0, 0, 0, 0, 1, 1, 0, 1], [1, 0, 0, 1, 1, 1, 0, 1, 1, 0], [1, 1, 0, 1, 1, 0, 0, 0, 1, 0], [1, 0, 1, 1, 0, 0, 1, 0, 0, 1], [0, 0, 0, 1, 0, 0, 0, 1, 1, 0], [0, 0, 1, 1, 0, 0, 0, 0, 1, 0], [0, 1, 0, 1, 0, 1, 0, 0, 1, 0], [1, 0, 1, 0, 0, 1, 0, 1, 0, 1], [1, 0, 0, 0, 0, 0, 1, 0, 0, 0], [0, 0, 4, 4, 4, 4, 4, 0, 0, 0], [0, 4, 4, 4, 0, 4, 4, 0, 0, 0], [4, 4, 4, 4, 4, 4, 4, 0, 4, 4], [4, 0, 4, 0, 4, 0, 0, 0, 4, 4], [4, 4, 4, 4, 4, 0, 0, 4, 4, 0], [4, 0, 0, 4, 0, 0, 0, 0, 4, 0], [4, 0, 4, 0, 0, 4, 0, 4, 0, 0], [0, 0, 0, 4, 0, 0, 0, 0, 4, 0], [0, 4, 0, 0, 4, 0, 4, 4, 0, 4], [4, 4, 4, 4, 4, 0, 0, 4, 0, 4]] -> [[0, 0, 0, 6, 0, 6, 6, 6, 0, 6], [6, 0, 6, 6, 0, 6, 6, 6, 0, 0], [6, 6, 6, 6, 0, 0, 6, 0, 6, 6], [6, 0, 6, 0, 6, 0, 0, 0, 0, 6], [0, 6, 0, 6, 6, 0, 6, 6, 6, 6], [6, 0, 0, 6, 0, 0, 0, 6, 6, 0], [6, 0, 0, 6, 0, 6, 0, 6, 0, 0], [0, 6, 0, 6, 0, 0, 0, 0, 6, 0], [0, 6, 6, 0, 6, 0, 6, 6, 0, 0], [0, 6, 6, 6, 6, 0, 6, 6, 0, 6]]\nExample input-output arrays:\n[[2, 2, 0, 0, 2, 2, 0, 0, 0, 0], [0, 0, 2, 2, 0, 2, 0, 2, 0, 2], [2, 2, 0, 0, 2, 2, 0, 0, 2, 2], [2, 0, 0, 2, 0, 0, 0, 2, 2, 0], [2, 0, 0, 2, 2, 2, 0, 0, 0, 2], [0, 2, 0, 2, 2, 2, 0, 2, 2, 2], [2, 0, 2, 2, 2, 2, 2, 0, 0, 2], [0, 2, 2, 0, 2, 0, 0, 0, 2, 0], [2, 2, 0, 0, 0, 2, 2, 0, 0, 2], [2, 0, 2, 0, 0, 0, 2, 2, 2, 2], [1, 0, 1, 0, 0, 1, 1, 1, 0, 1], [0, 1, 1, 0, 1, 1, 1, 0, 0, 1], [0, 0, 0, 1, 0, 0, 1, 0, 1, 1], [1, 1, 0, 1, 1, 0, 1, 0, 0, 0], [1, 0, 0, 0, 1, 1, 1, 0, 0, 0], [0, 0, 1, 1, 0, 0, 0, 1, 0, 0], [1, 1, 0, 0, 0, 1, 1, 1, 0, 1], [1, 1, 1, 0, 1, 0, 1, 0, 1, 1], [1, 0, 1, 0, 0, 1, 1, 1, 1, 0], [0, 1, 0, 1, 0, 0, 1, 0, 1, 1], [0, 4, 4, 4, 0, 4, 0, 0, 4, 0], [0, 4, 0, 0, 0, 0, 0, 0, 0, 4], [0, 4, 4, 4, 0, 0, 4, 4, 0, 4], [0, 4, 4, 0, 0, 4, 4, 0, 0, 4], [0, 0, 0, 0, 0, 0, 4, 0, 4, 0], [4, 4, 0, 4, 0, 4, 4, 0, 0, 4], [4, 0, 0, 4, 4, 4, 0, 4, 4, 0], [0, 4, 0, 4, 4, 4, 0, 4, 4, 4], [4, 4, 0, 0, 0, 0, 4, 4, 0, 4], [0, 0, 4, 0, 0, 0, 0, 4, 4, 4]] -> [[6, 6, 6, 6, 0, 0, 0, 0, 6, 0], [0, 6, 6, 0, 0, 6, 0, 0, 0, 0], [0, 6, 6, 6, 0, 0, 6, 6, 6, 0], [6, 6, 6, 6, 0, 6, 6, 0, 0, 6], [6, 0, 0, 0, 6, 6, 6, 0, 6, 0], [6, 6, 0, 0, 0, 6, 6, 6, 0, 6], [0, 0, 0, 6, 6, 0, 6, 6, 6, 6], [0, 0, 6, 6, 0, 6, 0, 6, 0, 6], [0, 6, 0, 0, 0, 6, 0, 6, 0, 6], [0, 0, 6, 0, 0, 0, 6, 6, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[2, 2, 0, 0, 2, 2, 0, 0, 0, 0], [0, 0, 2, 2, 0, 2, 0, 2, 0, 2], [2, 2, 0, 0, 2, 2, 0, 0, 2, 2], [2, 0, 0, 2, 0, 0, 0, 2, 2, 0], [2, 0, 0, 2, 2, 2, 0, 0, 0, 2], [0, 2, 0, 2, 2, 2, 0, 2, 2, 2], [2, 0, 2, 2, 2, 2, 2, 0, 0, 2], [0, 2, 2, 0, 2, 0, 0, 0, 2, 0], [2, 2, 0, 0, 0, 2, 2, 0, 0, 2], [2, 0, 2, 0, 0, 0, 2, 2, 2, 2], [8, 0, 8, 0, 0, 8, 8, 8, 0, 8], [0, 8, 8, 0, 8, 8, 8, 0, 0, 8], [0, 0, 0, 8, 0, 0, 8, 0, 8, 8], [8, 8, 0, 8, 8, 0, 8, 0, 0, 0], [8, 0, 0, 0, 8, 8, 8, 0, 0, 0], [0, 0, 8, 8, 0, 0, 0, 8, 0, 0], [8, 8, 0, 0, 0, 8, 8, 8, 0, 8], [8, 8, 8, 0, 8, 0, 8, 0, 8, 8], [8, 0, 8, 0, 0, 8, 8, 8, 8, 0], [0, 8, 0, 8, 0, 0, 8, 0, 8, 8], [0, 4, 4, 4, 0, 4, 0, 0, 4, 0], [0, 4, 0, 0, 0, 0, 0, 0, 0, 4], [0, 4, 4, 4, 0, 0, 4, 4, 0, 4], [0, 4, 4, 0, 0, 4, 4, 0, 0, 4], [0, 0, 0, 0, 0, 0, 4, 0, 4, 0], [4, 4, 0, 4, 0, 4, 4, 0, 0, 4], [4, 0, 0, 4, 4, 4, 0, 4, 4, 0], [0, 4, 0, 4, 4, 4, 0, 4, 4, 4], [4, 4, 0, 0, 0, 0, 4, 4, 0, 4], [0, 0, 4, 0, 0, 0, 0, 4, 4, 4]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0
+                        ],
+                        [
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2
+                        ],
+                        [
+                            0,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2
+                        ],
+                        [
+                            0,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0
+                        ],
+                        [
+                            2,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2
+                        ],
+                        [
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            8,
+                            0,
+                            8,
+                            0,
+                            0,
+                            8,
+                            8,
+                            8,
+                            0,
+                            8
+                        ],
+                        [
+                            0,
+                            8,
+                            8,
+                            0,
+                            8,
+                            8,
+                            8,
+                            0,
+                            0,
+                            8
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            8,
+                            0,
+                            0,
+                            8,
+                            0,
+                            8,
+                            8
+                        ],
+                        [
+                            8,
+                            8,
+                            0,
+                            8,
+                            8,
+                            0,
+                            8,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            8,
+                            0,
+                            0,
+                            0,
+                            8,
+                            8,
+                            8,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            8,
+                            8,
+                            0,
+                            0,
+                            0,
+                            8,
+                            0,
+                            0
+                        ],
+                        [
+                            8,
+                            8,
+                            0,
+                            0,
+                            0,
+                            8,
+                            8,
+                            8,
+                            0,
+                            8
+                        ],
+                        [
+                            8,
+                            8,
+                            8,
+                            0,
+                            8,
+                            0,
+                            8,
+                            0,
+                            8,
+                            8
+                        ],
+                        [
+                            8,
+                            0,
+                            8,
+                            0,
+                            0,
+                            8,
+                            8,
+                            8,
+                            8,
+                            0
+                        ],
+                        [
+                            0,
+                            8,
+                            0,
+                            8,
+                            0,
+                            0,
+                            8,
+                            0,
+                            8,
+                            8
+                        ],
+                        [
+                            0,
+                            4,
+                            4,
+                            4,
+                            0,
+                            4,
+                            0,
+                            0,
+                            4,
+                            0
+                        ],
+                        [
+                            0,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            4
+                        ],
+                        [
+                            0,
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            4,
+                            4,
+                            0,
+                            4
+                        ],
+                        [
+                            0,
+                            4,
+                            4,
+                            0,
+                            0,
+                            4,
+                            4,
+                            0,
+                            0,
+                            4
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            4,
+                            0,
+                            4,
+                            0
+                        ],
+                        [
+                            4,
+                            4,
+                            0,
+                            4,
+                            0,
+                            4,
+                            4,
+                            0,
+                            0,
+                            4
+                        ],
+                        [
+                            4,
+                            0,
+                            0,
+                            4,
+                            4,
+                            4,
+                            0,
+                            4,
+                            4,
+                            0
+                        ],
+                        [
+                            0,
+                            4,
+                            0,
+                            4,
+                            4,
+                            4,
+                            0,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0,
+                            4,
+                            4,
+                            0,
+                            4
+                        ],
+                        [
+                            0,
+                            0,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0,
+                            4,
+                            4,
+                            4
+                        ]
+                    ],
+                    "output": [
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0
+                        ],
+                        [
+                            0,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6
+                        ],
+                        [
+                            6,
+                            0,
+                            0,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0
+                        ],
+                        [
+                            6,
+                            6,
+                            0,
+                            0,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            0,
+                            0,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6
+                        ],
+                        [
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            6,
+                            6,
+                            0,
+                            0
+                        ]
+                    ]
+                }
+            },
+            "Replicate 2": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 2, 2, 2, 2, 0, 0, 0, 0, 2], [2, 2, 2, 2, 2, 2, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 2, 0, 0, 0], [0, 0, 0, 2, 0, 2, 0, 0, 0, 0], [2, 0, 2, 2, 2, 2, 2, 0, 0, 2], [2, 2, 0, 2, 0, 0, 0, 0, 2, 0], [2, 0, 0, 0, 2, 0, 2, 2, 0, 2], [0, 0, 2, 0, 0, 2, 2, 0, 2, 0], [0, 2, 0, 0, 2, 0, 2, 2, 0, 0], [0, 2, 0, 2, 2, 2, 2, 2, 2, 2], [0, 0, 0, 0, 0, 0, 0, 1, 1, 0], [0, 1, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 1, 0, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 0, 0], [0, 0, 1, 0, 1, 1, 1, 0, 1, 0], [0, 1, 0, 1, 1, 0, 0, 1, 1, 1], [0, 1, 0, 1, 1, 1, 1, 0, 1, 1], [1, 0, 0, 0, 0, 1, 1, 0, 0, 1], [1, 1, 0, 1, 0, 0, 0, 0, 1, 0], [1, 0, 0, 1, 0, 0, 0, 0, 1, 0], [0, 4, 0, 4, 4, 0, 0, 4, 4, 0], [0, 0, 4, 4, 4, 0, 4, 0, 0, 0], [0, 0, 0, 0, 0, 4, 0, 0, 0, 4], [4, 0, 0, 0, 4, 0, 4, 0, 4, 0], [0, 0, 4, 4, 4, 4, 0, 0, 0, 4], [4, 4, 4, 0, 0, 0, 0, 0, 0, 4], [4, 0, 4, 4, 0, 0, 0, 4, 0, 4], [4, 0, 0, 0, 0, 0, 4, 4, 4, 0], [0, 0, 0, 4, 0, 4, 4, 0, 4, 4], [4, 0, 0, 4, 0, 0, 0, 4, 0, 0]] -> [[0, 6, 0, 6, 6, 0, 0, 6, 6, 0], [0, 6, 0, 6, 6, 0, 6, 0, 0, 0], [0, 0, 0, 0, 0, 6, 0, 0, 0, 6], [6, 0, 0, 6, 6, 6, 6, 0, 6, 0], [0, 0, 0, 6, 0, 0, 6, 0, 0, 6], [6, 0, 6, 6, 0, 0, 0, 0, 6, 6], [6, 0, 6, 6, 6, 0, 6, 6, 0, 0], [6, 0, 0, 0, 0, 6, 0, 6, 6, 0], [0, 6, 0, 6, 0, 6, 6, 0, 6, 6], [6, 0, 0, 0, 0, 0, 0, 6, 6, 0]]\nExample input-output arrays:\n[[0, 0, 0, 2, 2, 0, 2, 2, 2, 0], [2, 0, 2, 2, 2, 2, 0, 2, 2, 0], [0, 0, 0, 2, 0, 2, 2, 0, 2, 0], [2, 2, 0, 2, 2, 0, 0, 2, 0, 2], [2, 2, 2, 2, 2, 0, 2, 0, 0, 2], [2, 0, 2, 0, 2, 0, 0, 2, 0, 2], [2, 2, 0, 2, 2, 2, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 0, 2, 0, 0], [2, 0, 0, 0, 2, 2, 0, 2, 0, 0], [0, 2, 2, 0, 2, 2, 2, 0, 0, 0], [1, 1, 1, 0, 1, 1, 0, 1, 1, 1], [1, 1, 0, 1, 1, 1, 0, 0, 0, 1], [0, 1, 0, 0, 1, 0, 0, 0, 1, 0], [1, 1, 1, 0, 1, 0, 0, 1, 1, 0], [1, 0, 1, 0, 0, 0, 0, 0, 0, 1], [1, 0, 1, 0, 1, 0, 1, 0, 1, 1], [0, 0, 1, 0, 1, 1, 1, 1, 1, 0], [1, 1, 1, 1, 0, 0, 0, 0, 0, 1], [0, 0, 0, 1, 0, 1, 1, 1, 1, 1], [0, 0, 1, 0, 0, 0, 1, 0, 0, 0], [0, 0, 4, 0, 4, 0, 4, 4, 0, 0], [0, 4, 4, 0, 0, 4, 4, 4, 4, 0], [0, 0, 0, 0, 0, 4, 0, 4, 4, 4], [0, 4, 4, 0, 4, 0, 4, 4, 4, 4], [0, 4, 4, 4, 4, 0, 0, 4, 0, 4], [4, 4, 0, 0, 4, 0, 4, 4, 0, 0], [4, 0, 4, 0, 4, 4, 0, 4, 4, 4], [0, 4, 4, 4, 0, 0, 0, 0, 0, 0], [4, 4, 4, 4, 0, 0, 0, 4, 0, 0], [4, 4, 4, 0, 0, 4, 0, 4, 4, 4]] -> [[0, 0, 6, 0, 0, 0, 6, 0, 6, 0], [6, 6, 6, 6, 6, 0, 6, 6, 6, 0], [0, 0, 0, 0, 0, 6, 0, 6, 0, 6], [6, 0, 6, 0, 0, 0, 6, 0, 6, 6], [6, 6, 0, 6, 6, 0, 0, 6, 0, 0], [0, 6, 6, 0, 0, 0, 6, 6, 0, 6], [6, 0, 6, 0, 0, 0, 0, 6, 0, 6], [0, 6, 6, 6, 0, 0, 0, 0, 0, 0], [6, 6, 6, 6, 0, 6, 0, 0, 0, 0], [6, 6, 0, 0, 0, 6, 6, 6, 6, 6]]\nExample input-output arrays:\n[[2, 0, 2, 0, 0, 0, 2, 0, 2, 2], [0, 0, 0, 2, 0, 2, 2, 2, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 2, 2], [2, 0, 2, 2, 2, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 2, 2, 2, 2, 0], [2, 2, 0, 2, 2, 2, 2, 2, 2, 0], [0, 0, 2, 2, 0, 0, 0, 2, 2, 2], [0, 2, 2, 0, 2, 2, 0, 2, 0, 2], [2, 0, 2, 0, 2, 2, 0, 0, 0, 2], [0, 2, 2, 0, 0, 0, 2, 0, 0, 2], [0, 0, 1, 0, 1, 1, 1, 1, 1, 0], [0, 0, 1, 0, 1, 0, 0, 0, 1, 0], [1, 0, 1, 0, 1, 0, 1, 0, 0, 0], [0, 0, 1, 1, 1, 1, 0, 0, 0, 1], [1, 0, 1, 1, 1, 0, 1, 1, 1, 1], [0, 1, 1, 0, 0, 1, 0, 0, 1, 1], [1, 0, 0, 0, 1, 0, 1, 0, 0, 0], [0, 0, 1, 1, 0, 1, 0, 1, 1, 0], [0, 1, 1, 0, 0, 0, 1, 0, 1, 1], [0, 1, 1, 1, 0, 1, 0, 0, 1, 1], [4, 4, 4, 4, 4, 4, 4, 4, 0, 0], [4, 4, 4, 0, 4, 4, 0, 0, 0, 0], [0, 4, 4, 4, 0, 4, 4, 4, 0, 0], [4, 0, 4, 4, 0, 4, 4, 4, 4, 0], [4, 0, 4, 0, 0, 0, 0, 4, 0, 0], [0, 4, 4, 4, 0, 4, 0, 0, 4, 0], [4, 4, 0, 4, 0, 0, 0, 0, 4, 0], [4, 4, 0, 4, 0, 0, 4, 0, 4, 4], [4, 0, 0, 4, 4, 4, 4, 0, 4, 4], [0, 0, 0, 4, 4, 4, 4, 4, 4, 4]] -> [[6, 6, 0, 6, 6, 6, 0, 6, 6, 0], [6, 6, 6, 0, 6, 6, 0, 0, 0, 0], [0, 6, 6, 6, 0, 6, 6, 6, 0, 0], [6, 0, 0, 0, 6, 6, 6, 6, 6, 0], [6, 0, 6, 0, 0, 0, 6, 0, 6, 0], [0, 0, 6, 6, 0, 0, 0, 0, 0, 0], [6, 6, 0, 6, 0, 0, 0, 0, 6, 0], [6, 6, 6, 6, 0, 6, 6, 6, 6, 6], [6, 0, 6, 6, 6, 6, 6, 0, 6, 0], [0, 6, 6, 6, 6, 6, 6, 6, 6, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [0, 0, 1, 1, 1, 1, 0, 0, 0, 0], [0, 0, 1, 1, 1, 0, 1, 0, 0, 0], [1, 1, 0, 1, 0, 1, 0, 0, 0, 0], [0, 1, 0, 0, 1, 1, 1, 0, 1, 1], [0, 1, 1, 1, 0, 0, 1, 1, 1, 1], [0, 0, 1, 0, 1, 0, 0, 1, 1, 0], [1, 1, 0, 1, 1, 0, 0, 1, 0, 1], [1, 0, 1, 1, 1, 1, 0, 0, 0, 0], [0, 1, 0, 1, 0, 1, 0, 0, 0, 1], [0, 0, 1, 1, 0, 1, 1, 1, 1, 1], [0, 4, 4, 4, 4, 0, 0, 4, 4, 4], [4, 0, 4, 0, 4, 0, 4, 4, 4, 0], [0, 0, 0, 0, 0, 4, 4, 0, 0, 4], [0, 0, 4, 4, 4, 0, 4, 0, 0, 4], [0, 4, 4, 4, 4, 4, 0, 4, 0, 0], [0, 0, 0, 0, 0, 4, 4, 0, 4, 4], [0, 0, 4, 0, 4, 0, 4, 0, 0, 4], [0, 4, 0, 0, 0, 0, 4, 4, 0, 0], [4, 4, 4, 0, 4, 0, 4, 0, 0, 4], [4, 4, 0, 0, 4, 0, 0, 4, 0, 4]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            0,
+                            0,
+                            1,
+                            1,
+                            1,
+                            1,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            1,
+                            1,
+                            1,
+                            0,
+                            1,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            1,
+                            1,
+                            0,
+                            1,
+                            0,
+                            1,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            1,
+                            0,
+                            0,
+                            1,
+                            1,
+                            1,
+                            0,
+                            1,
+                            1
+                        ],
+                        [
+                            0,
+                            1,
+                            1,
+                            1,
+                            0,
+                            0,
+                            1,
+                            1,
+                            1,
+                            1
+                        ],
+                        [
+                            0,
+                            0,
+                            1,
+                            0,
+                            1,
+                            0,
+                            0,
+                            1,
+                            1,
+                            0
+                        ],
+                        [
+                            1,
+                            1,
+                            0,
+                            1,
+                            1,
+                            0,
+                            0,
+                            1,
+                            0,
+                            1
+                        ],
+                        [
+                            1,
+                            0,
+                            1,
+                            1,
+                            1,
+                            1,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            1,
+                            0,
+                            1,
+                            0,
+                            1,
+                            0,
+                            0,
+                            0,
+                            1
+                        ],
+                        [
+                            0,
+                            0,
+                            1,
+                            1,
+                            0,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1
+                        ],
+                        [
+                            0,
+                            4,
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            0,
+                            4,
+                            0,
+                            4,
+                            0,
+                            4,
+                            4,
+                            4,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            4,
+                            4,
+                            0,
+                            0,
+                            4
+                        ],
+                        [
+                            0,
+                            0,
+                            4,
+                            4,
+                            4,
+                            0,
+                            4,
+                            0,
+                            0,
+                            4
+                        ],
+                        [
+                            0,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            0,
+                            4,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            4,
+                            4,
+                            0,
+                            4,
+                            4
+                        ],
+                        [
+                            0,
+                            0,
+                            4,
+                            0,
+                            4,
+                            0,
+                            4,
+                            0,
+                            0,
+                            4
+                        ],
+                        [
+                            0,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0,
+                            4,
+                            4,
+                            0,
+                            0
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            0,
+                            4,
+                            0,
+                            4,
+                            0,
+                            0,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            0,
+                            0,
+                            4,
+                            0,
+                            0,
+                            4,
+                            0,
+                            4
+                        ]
+                    ],
+                    "output": [
+                        [
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            6,
+                            6,
+                            0
+                        ],
+                        [
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0,
+                            6,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6
+                        ],
+                        [
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6,
+                            6,
+                            0,
+                            0
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0
+                        ],
+                        [
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0
+                        ]
+                    ]
+                }
+            },
+            "Replicate 3": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 0, 2, 2, 0, 0, 2, 2, 0], [0, 2, 0, 0, 2, 2, 2, 0, 0, 0], [0, 0, 0, 0, 0, 2, 2, 0, 2, 2], [2, 0, 2, 0, 0, 0, 2, 2, 2, 2], [2, 2, 2, 0, 0, 0, 0, 2, 0, 0], [0, 0, 2, 2, 2, 2, 2, 0, 0, 0], [0, 2, 0, 0, 2, 0, 0, 0, 0, 2], [0, 0, 2, 2, 0, 0, 0, 0, 2, 2], [2, 0, 0, 0, 0, 0, 2, 2, 2, 0], [0, 1, 1, 0, 1, 0, 0, 1, 0, 1], [1, 1, 0, 0, 0, 0, 1, 1, 0, 1], [1, 0, 0, 1, 1, 1, 0, 1, 1, 0], [1, 1, 0, 1, 1, 0, 0, 0, 1, 0], [1, 0, 1, 1, 0, 0, 1, 0, 0, 1], [0, 0, 0, 1, 0, 0, 0, 1, 1, 0], [0, 0, 1, 1, 0, 0, 0, 0, 1, 0], [0, 1, 0, 1, 0, 1, 0, 0, 1, 0], [1, 0, 1, 0, 0, 1, 0, 1, 0, 1], [1, 0, 0, 0, 0, 0, 1, 0, 0, 0], [0, 0, 4, 4, 4, 4, 4, 0, 0, 0], [0, 4, 4, 4, 0, 4, 4, 0, 0, 0], [4, 4, 4, 4, 4, 4, 4, 0, 4, 4], [4, 0, 4, 0, 4, 0, 0, 0, 4, 4], [4, 4, 4, 4, 4, 0, 0, 4, 4, 0], [4, 0, 0, 4, 0, 0, 0, 0, 4, 0], [4, 0, 4, 0, 0, 4, 0, 4, 0, 0], [0, 0, 0, 4, 0, 0, 0, 0, 4, 0], [0, 4, 0, 0, 4, 0, 4, 4, 0, 4], [4, 4, 4, 4, 4, 0, 0, 4, 0, 4]] -> [[0, 0, 0, 6, 0, 6, 6, 6, 0, 6], [6, 0, 6, 6, 0, 6, 6, 6, 0, 0], [6, 6, 6, 6, 0, 0, 6, 0, 6, 6], [6, 0, 6, 0, 6, 0, 0, 0, 0, 6], [0, 6, 0, 6, 6, 0, 6, 6, 6, 6], [6, 0, 0, 6, 0, 0, 0, 6, 6, 0], [6, 0, 0, 6, 0, 6, 0, 6, 0, 0], [0, 6, 0, 6, 0, 0, 0, 0, 6, 0], [0, 6, 6, 0, 6, 0, 6, 6, 0, 0], [0, 6, 6, 6, 6, 0, 6, 6, 0, 6]]\nExample input-output arrays:\n[[0, 0, 0, 2, 2, 0, 2, 2, 2, 0], [2, 0, 2, 2, 2, 2, 0, 2, 2, 0], [0, 0, 0, 2, 0, 2, 2, 0, 2, 0], [2, 2, 0, 2, 2, 0, 0, 2, 0, 2], [2, 2, 2, 2, 2, 0, 2, 0, 0, 2], [2, 0, 2, 0, 2, 0, 0, 2, 0, 2], [2, 2, 0, 2, 2, 2, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 0, 2, 0, 0], [2, 0, 0, 0, 2, 2, 0, 2, 0, 0], [0, 2, 2, 0, 2, 2, 2, 0, 0, 0], [1, 1, 1, 0, 1, 1, 0, 1, 1, 1], [1, 1, 0, 1, 1, 1, 0, 0, 0, 1], [0, 1, 0, 0, 1, 0, 0, 0, 1, 0], [1, 1, 1, 0, 1, 0, 0, 1, 1, 0], [1, 0, 1, 0, 0, 0, 0, 0, 0, 1], [1, 0, 1, 0, 1, 0, 1, 0, 1, 1], [0, 0, 1, 0, 1, 1, 1, 1, 1, 0], [1, 1, 1, 1, 0, 0, 0, 0, 0, 1], [0, 0, 0, 1, 0, 1, 1, 1, 1, 1], [0, 0, 1, 0, 0, 0, 1, 0, 0, 0], [0, 0, 4, 0, 4, 0, 4, 4, 0, 0], [0, 4, 4, 0, 0, 4, 4, 4, 4, 0], [0, 0, 0, 0, 0, 4, 0, 4, 4, 4], [0, 4, 4, 0, 4, 0, 4, 4, 4, 4], [0, 4, 4, 4, 4, 0, 0, 4, 0, 4], [4, 4, 0, 0, 4, 0, 4, 4, 0, 0], [4, 0, 4, 0, 4, 4, 0, 4, 4, 4], [0, 4, 4, 4, 0, 0, 0, 0, 0, 0], [4, 4, 4, 4, 0, 0, 0, 4, 0, 0], [4, 4, 4, 0, 0, 4, 0, 4, 4, 4]] -> [[0, 0, 6, 0, 0, 0, 6, 0, 6, 0], [6, 6, 6, 6, 6, 0, 6, 6, 6, 0], [0, 0, 0, 0, 0, 6, 0, 6, 0, 6], [6, 0, 6, 0, 0, 0, 6, 0, 6, 6], [6, 6, 0, 6, 6, 0, 0, 6, 0, 0], [0, 6, 6, 0, 0, 0, 6, 6, 0, 6], [6, 0, 6, 0, 0, 0, 0, 6, 0, 6], [0, 6, 6, 6, 0, 0, 0, 0, 0, 0], [6, 6, 6, 6, 0, 6, 0, 0, 0, 0], [6, 6, 0, 0, 0, 6, 6, 6, 6, 6]]\nExample input-output arrays:\n[[0, 2, 2, 2, 2, 0, 0, 0, 0, 2], [2, 2, 2, 2, 2, 2, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 2, 0, 0, 0], [0, 0, 0, 2, 0, 2, 0, 0, 0, 0], [2, 0, 2, 2, 2, 2, 2, 0, 0, 2], [2, 2, 0, 2, 0, 0, 0, 0, 2, 0], [2, 0, 0, 0, 2, 0, 2, 2, 0, 2], [0, 0, 2, 0, 0, 2, 2, 0, 2, 0], [0, 2, 0, 0, 2, 0, 2, 2, 0, 0], [0, 2, 0, 2, 2, 2, 2, 2, 2, 2], [0, 0, 0, 0, 0, 0, 0, 1, 1, 0], [0, 1, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 1, 0, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 0, 0], [0, 0, 1, 0, 1, 1, 1, 0, 1, 0], [0, 1, 0, 1, 1, 0, 0, 1, 1, 1], [0, 1, 0, 1, 1, 1, 1, 0, 1, 1], [1, 0, 0, 0, 0, 1, 1, 0, 0, 1], [1, 1, 0, 1, 0, 0, 0, 0, 1, 0], [1, 0, 0, 1, 0, 0, 0, 0, 1, 0], [0, 4, 0, 4, 4, 0, 0, 4, 4, 0], [0, 0, 4, 4, 4, 0, 4, 0, 0, 0], [0, 0, 0, 0, 0, 4, 0, 0, 0, 4], [4, 0, 0, 0, 4, 0, 4, 0, 4, 0], [0, 0, 4, 4, 4, 4, 0, 0, 0, 4], [4, 4, 4, 0, 0, 0, 0, 0, 0, 4], [4, 0, 4, 4, 0, 0, 0, 4, 0, 4], [4, 0, 0, 0, 0, 0, 4, 4, 4, 0], [0, 0, 0, 4, 0, 4, 4, 0, 4, 4], [4, 0, 0, 4, 0, 0, 0, 4, 0, 0]] -> [[0, 6, 0, 6, 6, 0, 0, 6, 6, 0], [0, 6, 0, 6, 6, 0, 6, 0, 0, 0], [0, 0, 0, 0, 0, 6, 0, 0, 0, 6], [6, 0, 0, 6, 6, 6, 6, 0, 6, 0], [0, 0, 0, 6, 0, 0, 6, 0, 0, 6], [6, 0, 6, 6, 0, 0, 0, 0, 6, 6], [6, 0, 6, 6, 6, 0, 6, 6, 0, 0], [6, 0, 0, 0, 0, 6, 0, 6, 6, 0], [0, 6, 0, 6, 0, 6, 6, 0, 6, 6], [6, 0, 0, 0, 0, 0, 0, 6, 6, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 2, 2, 2, 2, 0, 0, 0, 0, 2], [2, 2, 2, 2, 2, 2, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 2, 0, 0, 0], [0, 0, 0, 2, 0, 2, 0, 0, 0, 0], [2, 0, 2, 2, 2, 2, 2, 0, 0, 2], [2, 2, 0, 2, 0, 0, 0, 0, 2, 0], [2, 0, 0, 0, 2, 0, 2, 2, 0, 2], [0, 0, 2, 0, 0, 2, 2, 0, 2, 0], [0, 2, 0, 0, 2, 0, 2, 2, 0, 0], [0, 2, 0, 2, 2, 2, 2, 2, 2, 2], [0, 0, 0, 0, 0, 0, 0, 8, 8, 0], [0, 8, 8, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 0, 0, 8, 0, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 0, 0], [0, 0, 8, 0, 8, 8, 8, 0, 8, 0], [0, 8, 0, 8, 8, 0, 0, 8, 8, 8], [0, 8, 0, 8, 8, 8, 8, 0, 8, 8], [8, 0, 0, 0, 0, 8, 8, 0, 0, 8], [8, 8, 0, 8, 0, 0, 0, 0, 8, 0], [8, 0, 0, 8, 0, 0, 0, 0, 8, 0], [0, 4, 0, 4, 4, 0, 0, 4, 4, 0], [0, 0, 4, 4, 4, 0, 4, 0, 0, 0], [0, 0, 0, 0, 0, 4, 0, 0, 0, 4], [4, 0, 0, 0, 4, 0, 4, 0, 4, 0], [0, 0, 4, 4, 4, 4, 0, 0, 0, 4], [4, 4, 4, 0, 0, 0, 0, 0, 0, 4], [4, 0, 4, 4, 0, 0, 0, 4, 0, 4], [4, 0, 0, 0, 0, 0, 4, 4, 4, 0], [0, 0, 0, 4, 0, 4, 4, 0, 4, 4], [4, 0, 0, 4, 0, 0, 0, 4, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0
+                        ],
+                        [
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            2,
+                            2,
+                            0,
+                            2
+                        ],
+                        [
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0
+                        ],
+                        [
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            2,
+                            2,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            8,
+                            8,
+                            0
+                        ],
+                        [
+                            0,
+                            8,
+                            8,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            8,
+                            0,
+                            0,
+                            8,
+                            0,
+                            8,
+                            8,
+                            8
+                        ],
+                        [
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            8,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            8,
+                            0,
+                            8,
+                            8,
+                            8,
+                            0,
+                            8,
+                            0
+                        ],
+                        [
+                            0,
+                            8,
+                            0,
+                            8,
+                            8,
+                            0,
+                            0,
+                            8,
+                            8,
+                            8
+                        ],
+                        [
+                            0,
+                            8,
+                            0,
+                            8,
+                            8,
+                            8,
+                            8,
+                            0,
+                            8,
+                            8
+                        ],
+                        [
+                            8,
+                            0,
+                            0,
+                            0,
+                            0,
+                            8,
+                            8,
+                            0,
+                            0,
+                            8
+                        ],
+                        [
+                            8,
+                            8,
+                            0,
+                            8,
+                            0,
+                            0,
+                            0,
+                            0,
+                            8,
+                            0
+                        ],
+                        [
+                            8,
+                            0,
+                            0,
+                            8,
+                            0,
+                            0,
+                            0,
+                            0,
+                            8,
+                            0
+                        ],
+                        [
+                            0,
+                            4,
+                            0,
+                            4,
+                            4,
+                            0,
+                            0,
+                            4,
+                            4,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            4,
+                            4,
+                            4,
+                            0,
+                            4,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            4,
+                            0,
+                            0,
+                            0,
+                            4
+                        ],
+                        [
+                            4,
+                            0,
+                            0,
+                            0,
+                            4,
+                            0,
+                            4,
+                            0,
+                            4,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            4,
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            4
+                        ],
+                        [
+                            4,
+                            0,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            4,
+                            0,
+                            4
+                        ],
+                        [
+                            4,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            4,
+                            4,
+                            4,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            4,
+                            0,
+                            4,
+                            4,
+                            0,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            0,
+                            0,
+                            4,
+                            0,
+                            0,
+                            0,
+                            4,
+                            0,
+                            0
+                        ]
+                    ],
+                    "output": [
+                        [
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6,
+                            6,
+                            0
+                        ],
+                        [
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            6
+                        ],
+                        [
+                            6,
+                            0,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            6
+                        ],
+                        [
+                            6,
+                            0,
+                            6,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0,
+                            0
+                        ],
+                        [
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0
+                        ],
+                        [
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            6,
+                            0
+                        ]
+                    ]
+                }
+            },
+            "Replicate 4": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 0, 2, 2, 0, 0, 2, 2, 0], [0, 2, 0, 0, 2, 2, 2, 0, 0, 0], [0, 0, 0, 0, 0, 2, 2, 0, 2, 2], [2, 0, 2, 0, 0, 0, 2, 2, 2, 2], [2, 2, 2, 0, 0, 0, 0, 2, 0, 0], [0, 0, 2, 2, 2, 2, 2, 0, 0, 0], [0, 2, 0, 0, 2, 0, 0, 0, 0, 2], [0, 0, 2, 2, 0, 0, 0, 0, 2, 2], [2, 0, 0, 0, 0, 0, 2, 2, 2, 0], [0, 1, 1, 0, 1, 0, 0, 1, 0, 1], [1, 1, 0, 0, 0, 0, 1, 1, 0, 1], [1, 0, 0, 1, 1, 1, 0, 1, 1, 0], [1, 1, 0, 1, 1, 0, 0, 0, 1, 0], [1, 0, 1, 1, 0, 0, 1, 0, 0, 1], [0, 0, 0, 1, 0, 0, 0, 1, 1, 0], [0, 0, 1, 1, 0, 0, 0, 0, 1, 0], [0, 1, 0, 1, 0, 1, 0, 0, 1, 0], [1, 0, 1, 0, 0, 1, 0, 1, 0, 1], [1, 0, 0, 0, 0, 0, 1, 0, 0, 0], [0, 0, 4, 4, 4, 4, 4, 0, 0, 0], [0, 4, 4, 4, 0, 4, 4, 0, 0, 0], [4, 4, 4, 4, 4, 4, 4, 0, 4, 4], [4, 0, 4, 0, 4, 0, 0, 0, 4, 4], [4, 4, 4, 4, 4, 0, 0, 4, 4, 0], [4, 0, 0, 4, 0, 0, 0, 0, 4, 0], [4, 0, 4, 0, 0, 4, 0, 4, 0, 0], [0, 0, 0, 4, 0, 0, 0, 0, 4, 0], [0, 4, 0, 0, 4, 0, 4, 4, 0, 4], [4, 4, 4, 4, 4, 0, 0, 4, 0, 4]] -> [[0, 0, 0, 6, 0, 6, 6, 6, 0, 6], [6, 0, 6, 6, 0, 6, 6, 6, 0, 0], [6, 6, 6, 6, 0, 0, 6, 0, 6, 6], [6, 0, 6, 0, 6, 0, 0, 0, 0, 6], [0, 6, 0, 6, 6, 0, 6, 6, 6, 6], [6, 0, 0, 6, 0, 0, 0, 6, 6, 0], [6, 0, 0, 6, 0, 6, 0, 6, 0, 0], [0, 6, 0, 6, 0, 0, 0, 0, 6, 0], [0, 6, 6, 0, 6, 0, 6, 6, 0, 0], [0, 6, 6, 6, 6, 0, 6, 6, 0, 6]]\nExample input-output arrays:\n[[0, 0, 0, 2, 2, 0, 2, 2, 2, 0], [2, 0, 2, 2, 2, 2, 0, 2, 2, 0], [0, 0, 0, 2, 0, 2, 2, 0, 2, 0], [2, 2, 0, 2, 2, 0, 0, 2, 0, 2], [2, 2, 2, 2, 2, 0, 2, 0, 0, 2], [2, 0, 2, 0, 2, 0, 0, 2, 0, 2], [2, 2, 0, 2, 2, 2, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 0, 2, 0, 0], [2, 0, 0, 0, 2, 2, 0, 2, 0, 0], [0, 2, 2, 0, 2, 2, 2, 0, 0, 0], [1, 1, 1, 0, 1, 1, 0, 1, 1, 1], [1, 1, 0, 1, 1, 1, 0, 0, 0, 1], [0, 1, 0, 0, 1, 0, 0, 0, 1, 0], [1, 1, 1, 0, 1, 0, 0, 1, 1, 0], [1, 0, 1, 0, 0, 0, 0, 0, 0, 1], [1, 0, 1, 0, 1, 0, 1, 0, 1, 1], [0, 0, 1, 0, 1, 1, 1, 1, 1, 0], [1, 1, 1, 1, 0, 0, 0, 0, 0, 1], [0, 0, 0, 1, 0, 1, 1, 1, 1, 1], [0, 0, 1, 0, 0, 0, 1, 0, 0, 0], [0, 0, 4, 0, 4, 0, 4, 4, 0, 0], [0, 4, 4, 0, 0, 4, 4, 4, 4, 0], [0, 0, 0, 0, 0, 4, 0, 4, 4, 4], [0, 4, 4, 0, 4, 0, 4, 4, 4, 4], [0, 4, 4, 4, 4, 0, 0, 4, 0, 4], [4, 4, 0, 0, 4, 0, 4, 4, 0, 0], [4, 0, 4, 0, 4, 4, 0, 4, 4, 4], [0, 4, 4, 4, 0, 0, 0, 0, 0, 0], [4, 4, 4, 4, 0, 0, 0, 4, 0, 0], [4, 4, 4, 0, 0, 4, 0, 4, 4, 4]] -> [[0, 0, 6, 0, 0, 0, 6, 0, 6, 0], [6, 6, 6, 6, 6, 0, 6, 6, 6, 0], [0, 0, 0, 0, 0, 6, 0, 6, 0, 6], [6, 0, 6, 0, 0, 0, 6, 0, 6, 6], [6, 6, 0, 6, 6, 0, 0, 6, 0, 0], [0, 6, 6, 0, 0, 0, 6, 6, 0, 6], [6, 0, 6, 0, 0, 0, 0, 6, 0, 6], [0, 6, 6, 6, 0, 0, 0, 0, 0, 0], [6, 6, 6, 6, 0, 6, 0, 0, 0, 0], [6, 6, 0, 0, 0, 6, 6, 6, 6, 6]]\nExample input-output arrays:\n[[0, 0, 0, 2, 2, 0, 2, 2, 2, 0], [2, 0, 2, 2, 2, 2, 0, 2, 2, 0], [0, 0, 0, 2, 0, 2, 2, 0, 2, 0], [2, 2, 0, 2, 2, 0, 0, 2, 0, 2], [2, 2, 2, 2, 2, 0, 2, 0, 0, 2], [2, 0, 2, 0, 2, 0, 0, 2, 0, 2], [2, 2, 0, 2, 2, 2, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 0, 2, 0, 0], [2, 0, 0, 0, 2, 2, 0, 2, 0, 0], [0, 2, 2, 0, 2, 2, 2, 0, 0, 0], [1, 1, 1, 0, 1, 1, 0, 1, 1, 1], [1, 1, 0, 1, 1, 1, 0, 0, 0, 1], [0, 1, 0, 0, 1, 0, 0, 0, 1, 0], [1, 1, 1, 0, 1, 0, 0, 1, 1, 0], [1, 0, 1, 0, 0, 0, 0, 0, 0, 1], [1, 0, 1, 0, 1, 0, 1, 0, 1, 1], [0, 0, 1, 0, 1, 1, 1, 1, 1, 0], [1, 1, 1, 1, 0, 0, 0, 0, 0, 1], [0, 0, 0, 1, 0, 1, 1, 1, 1, 1], [0, 0, 1, 0, 0, 0, 1, 0, 0, 0], [0, 0, 4, 0, 4, 0, 4, 4, 0, 0], [0, 4, 4, 0, 0, 4, 4, 4, 4, 0], [0, 0, 0, 0, 0, 4, 0, 4, 4, 4], [0, 4, 4, 0, 4, 0, 4, 4, 4, 4], [0, 4, 4, 4, 4, 0, 0, 4, 0, 4], [4, 4, 0, 0, 4, 0, 4, 4, 0, 0], [4, 0, 4, 0, 4, 4, 0, 4, 4, 4], [0, 4, 4, 4, 0, 0, 0, 0, 0, 0], [4, 4, 4, 4, 0, 0, 0, 4, 0, 0], [4, 4, 4, 0, 0, 4, 0, 4, 4, 4]] -> [[0, 0, 6, 0, 0, 0, 6, 0, 6, 0], [6, 6, 6, 6, 6, 0, 6, 6, 6, 0], [0, 0, 0, 0, 0, 6, 0, 6, 0, 6], [6, 0, 6, 0, 0, 0, 6, 0, 6, 6], [6, 6, 0, 6, 6, 0, 0, 6, 0, 0], [0, 6, 6, 0, 0, 0, 6, 6, 0, 6], [6, 0, 6, 0, 0, 0, 0, 6, 0, 6], [0, 6, 6, 6, 0, 0, 0, 0, 0, 0], [6, 6, 6, 6, 0, 6, 0, 0, 0, 0], [6, 6, 0, 0, 0, 6, 6, 6, 6, 6]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [0, 1, 0, 0, 1, 1, 1, 1, 1, 0], [0, 1, 0, 0, 1, 1, 1, 1, 0, 0], [0, 1, 0, 0, 1, 0, 1, 1, 1, 0], [0, 0, 0, 1, 1, 1, 0, 1, 0, 1], [1, 0, 0, 1, 0, 1, 1, 0, 0, 1], [0, 0, 1, 0, 1, 1, 1, 1, 1, 0], [0, 1, 0, 1, 0, 0, 1, 1, 0, 1], [0, 0, 0, 0, 1, 1, 0, 0, 0, 1], [0, 0, 1, 1, 1, 1, 0, 1, 1, 0], [0, 1, 1, 0, 0, 0, 1, 0, 1, 0], [0, 4, 0, 0, 4, 4, 0, 4, 0, 4], [0, 0, 4, 4, 0, 0, 4, 4, 4, 0], [4, 4, 0, 0, 0, 4, 0, 0, 4, 0], [0, 4, 4, 0, 0, 0, 0, 0, 0, 0], [4, 4, 4, 4, 4, 4, 4, 0, 0, 4], [0, 0, 4, 0, 0, 4, 0, 4, 0, 4], [4, 0, 4, 4, 4, 4, 0, 0, 0, 0], [0, 0, 0, 0, 4, 4, 0, 0, 4, 4], [4, 4, 4, 0, 0, 0, 0, 4, 4, 4], [4, 0, 0, 0, 0, 4, 4, 0, 4, 4]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            0,
+                            1,
+                            0,
+                            0,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            0
+                        ],
+                        [
+                            0,
+                            1,
+                            0,
+                            0,
+                            1,
+                            1,
+                            1,
+                            1,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            1,
+                            0,
+                            0,
+                            1,
+                            0,
+                            1,
+                            1,
+                            1,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            1,
+                            1,
+                            1,
+                            0,
+                            1,
+                            0,
+                            1
+                        ],
+                        [
+                            1,
+                            0,
+                            0,
+                            1,
+                            0,
+                            1,
+                            1,
+                            0,
+                            0,
+                            1
+                        ],
+                        [
+                            0,
+                            0,
+                            1,
+                            0,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            0
+                        ],
+                        [
+                            0,
+                            1,
+                            0,
+                            1,
+                            0,
+                            0,
+                            1,
+                            1,
+                            0,
+                            1
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            1,
+                            1,
+                            0,
+                            0,
+                            0,
+                            1
+                        ],
+                        [
+                            0,
+                            0,
+                            1,
+                            1,
+                            1,
+                            1,
+                            0,
+                            1,
+                            1,
+                            0
+                        ],
+                        [
+                            0,
+                            1,
+                            1,
+                            0,
+                            0,
+                            0,
+                            1,
+                            0,
+                            1,
+                            0
+                        ],
+                        [
+                            0,
+                            4,
+                            0,
+                            0,
+                            4,
+                            4,
+                            0,
+                            4,
+                            0,
+                            4
+                        ],
+                        [
+                            0,
+                            0,
+                            4,
+                            4,
+                            0,
+                            0,
+                            4,
+                            4,
+                            4,
+                            0
+                        ],
+                        [
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            4,
+                            0,
+                            0,
+                            4,
+                            0
+                        ],
+                        [
+                            0,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            4
+                        ],
+                        [
+                            0,
+                            0,
+                            4,
+                            0,
+                            0,
+                            4,
+                            0,
+                            4,
+                            0,
+                            4
+                        ],
+                        [
+                            4,
+                            0,
+                            4,
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            4,
+                            4,
+                            0,
+                            0,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            0,
+                            0,
+                            0,
+                            0,
+                            4,
+                            4,
+                            0,
+                            4,
+                            4
+                        ]
+                    ],
+                    "output": [
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6,
+                            0
+                        ],
+                        [
+                            6,
+                            0,
+                            0,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0
+                        ],
+                        [
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            0,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            6
+                        ]
+                    ]
+                }
+            }
+        },
+        "L3": {
+            "Replicate 0": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 0, 2, 2, 0, 0, 2, 2, 0], [0, 2, 0, 0, 2, 2, 2, 0, 0, 0], [0, 0, 0, 0, 0, 2, 2, 0, 2, 2], [2, 0, 2, 0, 0, 0, 2, 2, 2, 2], [2, 2, 2, 0, 0, 0, 0, 2, 0, 0], [0, 0, 2, 2, 2, 2, 2, 0, 0, 0], [0, 2, 0, 0, 2, 0, 0, 0, 0, 2], [0, 0, 2, 2, 0, 0, 0, 0, 2, 2], [2, 0, 0, 0, 0, 0, 2, 2, 2, 0], [0, 1, 1, 0, 1, 0, 0, 1, 0, 1], [1, 1, 0, 0, 0, 0, 1, 1, 0, 1], [1, 0, 0, 1, 1, 1, 0, 1, 1, 0], [1, 1, 0, 1, 1, 0, 0, 0, 1, 0], [1, 0, 1, 1, 0, 0, 1, 0, 0, 1], [0, 0, 0, 1, 0, 0, 0, 1, 1, 0], [0, 0, 1, 1, 0, 0, 0, 0, 1, 0], [0, 1, 0, 1, 0, 1, 0, 0, 1, 0], [1, 0, 1, 0, 0, 1, 0, 1, 0, 1], [1, 0, 0, 0, 0, 0, 1, 0, 0, 0], [0, 0, 4, 4, 4, 4, 4, 0, 0, 0], [0, 4, 4, 4, 0, 4, 4, 0, 0, 0], [4, 4, 4, 4, 4, 4, 4, 0, 4, 4], [4, 0, 4, 0, 4, 0, 0, 0, 4, 4], [4, 4, 4, 4, 4, 0, 0, 4, 4, 0], [4, 0, 0, 4, 0, 0, 0, 0, 4, 0], [4, 0, 4, 0, 0, 4, 0, 4, 0, 0], [0, 0, 0, 4, 0, 0, 0, 0, 4, 0], [0, 4, 0, 0, 4, 0, 4, 4, 0, 4], [4, 4, 4, 4, 4, 0, 0, 4, 0, 4]] -> [[0, 0, 0, 6, 0, 6, 6, 6, 0, 6], [6, 0, 6, 6, 0, 6, 6, 6, 0, 0], [6, 6, 6, 6, 0, 0, 6, 0, 6, 6], [6, 0, 6, 0, 6, 0, 0, 0, 0, 6], [0, 6, 0, 6, 6, 0, 6, 6, 6, 6], [6, 0, 0, 6, 0, 0, 0, 6, 6, 0], [6, 0, 0, 6, 0, 6, 0, 6, 0, 0], [0, 6, 0, 6, 0, 0, 0, 0, 6, 0], [0, 6, 6, 0, 6, 0, 6, 6, 0, 0], [0, 6, 6, 6, 6, 0, 6, 6, 0, 6]]\nExample input-output arrays:\n[[0, 0, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 0, 2, 2, 0, 0, 2, 2, 0], [0, 2, 0, 0, 2, 2, 2, 0, 0, 0], [0, 0, 0, 0, 0, 2, 2, 0, 2, 2], [2, 0, 2, 0, 0, 0, 2, 2, 2, 2], [2, 2, 2, 0, 0, 0, 0, 2, 0, 0], [0, 0, 2, 2, 2, 2, 2, 0, 0, 0], [0, 2, 0, 0, 2, 0, 0, 0, 0, 2], [0, 0, 2, 2, 0, 0, 0, 0, 2, 2], [2, 0, 0, 0, 0, 0, 2, 2, 2, 0], [0, 1, 1, 0, 1, 0, 0, 1, 0, 1], [1, 1, 0, 0, 0, 0, 1, 1, 0, 1], [1, 0, 0, 1, 1, 1, 0, 1, 1, 0], [1, 1, 0, 1, 1, 0, 0, 0, 1, 0], [1, 0, 1, 1, 0, 0, 1, 0, 0, 1], [0, 0, 0, 1, 0, 0, 0, 1, 1, 0], [0, 0, 1, 1, 0, 0, 0, 0, 1, 0], [0, 1, 0, 1, 0, 1, 0, 0, 1, 0], [1, 0, 1, 0, 0, 1, 0, 1, 0, 1], [1, 0, 0, 0, 0, 0, 1, 0, 0, 0], [0, 0, 4, 4, 4, 4, 4, 0, 0, 0], [0, 4, 4, 4, 0, 4, 4, 0, 0, 0], [4, 4, 4, 4, 4, 4, 4, 0, 4, 4], [4, 0, 4, 0, 4, 0, 0, 0, 4, 4], [4, 4, 4, 4, 4, 0, 0, 4, 4, 0], [4, 0, 0, 4, 0, 0, 0, 0, 4, 0], [4, 0, 4, 0, 0, 4, 0, 4, 0, 0], [0, 0, 0, 4, 0, 0, 0, 0, 4, 0], [0, 4, 0, 0, 4, 0, 4, 4, 0, 4], [4, 4, 4, 4, 4, 0, 0, 4, 0, 4]] -> [[0, 0, 0, 6, 0, 6, 6, 6, 0, 6], [6, 0, 6, 6, 0, 6, 6, 6, 0, 0], [6, 6, 6, 6, 0, 0, 6, 0, 6, 6], [6, 0, 6, 0, 6, 0, 0, 0, 0, 6], [0, 6, 0, 6, 6, 0, 6, 6, 6, 6], [6, 0, 0, 6, 0, 0, 0, 6, 6, 0], [6, 0, 0, 6, 0, 6, 0, 6, 0, 0], [0, 6, 0, 6, 0, 0, 0, 0, 6, 0], [0, 6, 6, 0, 6, 0, 6, 6, 0, 0], [0, 6, 6, 6, 6, 0, 6, 6, 0, 6]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 0, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 0, 2, 2, 0, 0, 2, 2, 0], [0, 2, 0, 0, 2, 2, 2, 0, 0, 0], [0, 0, 0, 0, 0, 2, 2, 0, 2, 2], [2, 0, 2, 0, 0, 0, 2, 2, 2, 2], [2, 2, 2, 0, 0, 0, 0, 2, 0, 0], [0, 0, 2, 2, 2, 2, 2, 0, 0, 0], [0, 2, 0, 0, 2, 0, 0, 0, 0, 2], [0, 0, 2, 2, 0, 0, 0, 0, 2, 2], [2, 0, 0, 0, 0, 0, 2, 2, 2, 0], [0, 7, 7, 0, 7, 0, 0, 7, 0, 7], [7, 7, 0, 0, 0, 0, 7, 7, 0, 7], [7, 0, 0, 7, 7, 7, 0, 7, 7, 0], [7, 7, 0, 7, 7, 0, 0, 0, 7, 0], [7, 0, 7, 7, 0, 0, 7, 0, 0, 7], [0, 0, 0, 7, 0, 0, 0, 7, 7, 0], [0, 0, 7, 7, 0, 0, 0, 0, 7, 0], [0, 7, 0, 7, 0, 7, 0, 0, 7, 0], [7, 0, 7, 0, 0, 7, 0, 7, 0, 7], [7, 0, 0, 0, 0, 0, 7, 0, 0, 0], [0, 0, 4, 4, 4, 4, 4, 0, 0, 0], [0, 4, 4, 4, 0, 4, 4, 0, 0, 0], [4, 4, 4, 4, 4, 4, 4, 0, 4, 4], [4, 0, 4, 0, 4, 0, 0, 0, 4, 4], [4, 4, 4, 4, 4, 0, 0, 4, 4, 0], [4, 0, 0, 4, 0, 0, 0, 0, 4, 0], [4, 0, 4, 0, 0, 4, 0, 4, 0, 0], [0, 0, 0, 4, 0, 0, 0, 0, 4, 0], [0, 4, 0, 0, 4, 0, 4, 4, 0, 4], [4, 4, 4, 4, 4, 0, 0, 4, 0, 4]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0
+                        ],
+                        [
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2
+                        ],
+                        [
+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0
+                        ],
+                        [
+                            0,
+                            7,
+                            7,
+                            0,
+                            7,
+                            0,
+                            0,
+                            7,
+                            0,
+                            7
+                        ],
+                        [
+                            7,
+                            7,
+                            0,
+                            0,
+                            0,
+                            0,
+                            7,
+                            7,
+                            0,
+                            7
+                        ],
+                        [
+                            7,
+                            0,
+                            0,
+                            7,
+                            7,
+                            7,
+                            0,
+                            7,
+                            7,
+                            0
+                        ],
+                        [
+                            7,
+                            7,
+                            0,
+                            7,
+                            7,
+                            0,
+                            0,
+                            0,
+                            7,
+                            0
+                        ],
+                        [
+                            7,
+                            0,
+                            7,
+                            7,
+                            0,
+                            0,
+                            7,
+                            0,
+                            0,
+                            7
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            7,
+                            0,
+                            0,
+                            0,
+                            7,
+                            7,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            7,
+                            7,
+                            0,
+                            0,
+                            0,
+                            0,
+                            7,
+                            0
+                        ],
+                        [
+                            0,
+                            7,
+                            0,
+                            7,
+                            0,
+                            7,
+                            0,
+                            0,
+                            7,
+                            0
+                        ],
+                        [
+                            7,
+                            0,
+                            7,
+                            0,
+                            0,
+                            7,
+                            0,
+                            7,
+                            0,
+                            7
+                        ],
+                        [
+                            7,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            7,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            4,
+                            4,
+                            4,
+                            0,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            0,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            0,
+                            4,
+                            0,
+                            4,
+                            0,
+                            0,
+                            0,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            4,
+                            4,
+                            0
+                        ],
+                        [
+                            4,
+                            0,
+                            0,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0,
+                            4,
+                            0
+                        ],
+                        [
+                            4,
+                            0,
+                            4,
+                            0,
+                            0,
+                            4,
+                            0,
+                            4,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0,
+                            4,
+                            0
+                        ],
+                        [
+                            0,
+                            4,
+                            0,
+                            0,
+                            4,
+                            0,
+                            4,
+                            4,
+                            0,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            4,
+                            0,
+                            4
+                        ]
+                    ],
+                    "output": [
+                        [
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6
+                        ],
+                        [
+                            6,
+                            0,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            6,
+                            6,
+                            0
+                        ],
+                        [
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0
+                        ],
+                        [
+                            0,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0,
+                            6
+                        ]
+                    ]
+                }
+            },
+            "Replicate 1": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[2, 0, 2, 0, 0, 0, 2, 0, 2, 2], [0, 0, 0, 2, 0, 2, 2, 2, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 2, 2], [2, 0, 2, 2, 2, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 2, 2, 2, 2, 0], [2, 2, 0, 2, 2, 2, 2, 2, 2, 0], [0, 0, 2, 2, 0, 0, 0, 2, 2, 2], [0, 2, 2, 0, 2, 2, 0, 2, 0, 2], [2, 0, 2, 0, 2, 2, 0, 0, 0, 2], [0, 2, 2, 0, 0, 0, 2, 0, 0, 2], [0, 0, 1, 0, 1, 1, 1, 1, 1, 0], [0, 0, 1, 0, 1, 0, 0, 0, 1, 0], [1, 0, 1, 0, 1, 0, 1, 0, 0, 0], [0, 0, 1, 1, 1, 1, 0, 0, 0, 1], [1, 0, 1, 1, 1, 0, 1, 1, 1, 1], [0, 1, 1, 0, 0, 1, 0, 0, 1, 1], [1, 0, 0, 0, 1, 0, 1, 0, 0, 0], [0, 0, 1, 1, 0, 1, 0, 1, 1, 0], [0, 1, 1, 0, 0, 0, 1, 0, 1, 1], [0, 1, 1, 1, 0, 1, 0, 0, 1, 1], [4, 4, 4, 4, 4, 4, 4, 4, 0, 0], [4, 4, 4, 0, 4, 4, 0, 0, 0, 0], [0, 4, 4, 4, 0, 4, 4, 4, 0, 0], [4, 0, 4, 4, 0, 4, 4, 4, 4, 0], [4, 0, 4, 0, 0, 0, 0, 4, 0, 0], [0, 4, 4, 4, 0, 4, 0, 0, 4, 0], [4, 4, 0, 4, 0, 0, 0, 0, 4, 0], [4, 4, 0, 4, 0, 0, 4, 0, 4, 4], [4, 0, 0, 4, 4, 4, 4, 0, 4, 4], [0, 0, 0, 4, 4, 4, 4, 4, 4, 4]] -> [[6, 6, 0, 6, 6, 6, 0, 6, 6, 0], [6, 6, 6, 0, 6, 6, 0, 0, 0, 0], [0, 6, 6, 6, 0, 6, 6, 6, 0, 0], [6, 0, 0, 0, 6, 6, 6, 6, 6, 0], [6, 0, 6, 0, 0, 0, 6, 0, 6, 0], [0, 0, 6, 6, 0, 0, 0, 0, 0, 0], [6, 6, 0, 6, 0, 0, 0, 0, 6, 0], [6, 6, 6, 6, 0, 6, 6, 6, 6, 6], [6, 0, 6, 6, 6, 6, 6, 0, 6, 0], [0, 6, 6, 6, 6, 6, 6, 6, 6, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[2, 0, 2, 0, 0, 0, 2, 0, 2, 2], [0, 0, 0, 2, 0, 2, 2, 2, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 2, 2], [2, 0, 2, 2, 2, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 2, 2, 2, 2, 0], [2, 2, 0, 2, 2, 2, 2, 2, 2, 0], [0, 0, 2, 2, 0, 0, 0, 2, 2, 2], [0, 2, 2, 0, 2, 2, 0, 2, 0, 2], [2, 0, 2, 0, 2, 2, 0, 0, 0, 2], [0, 2, 2, 0, 0, 0, 2, 0, 0, 2], [0, 0, 9, 0, 9, 9, 9, 9, 9, 0], [0, 0, 9, 0, 9, 0, 0, 0, 9, 0], [9, 0, 9, 0, 9, 0, 9, 0, 0, 0], [0, 0, 9, 9, 9, 9, 0, 0, 0, 9], [9, 0, 9, 9, 9, 0, 9, 9, 9, 9], [0, 9, 9, 0, 0, 9, 0, 0, 9, 9], [9, 0, 0, 0, 9, 0, 9, 0, 0, 0], [0, 0, 9, 9, 0, 9, 0, 9, 9, 0], [0, 9, 9, 0, 0, 0, 9, 0, 9, 9], [0, 9, 9, 9, 0, 9, 0, 0, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 0, 0], [4, 4, 4, 0, 4, 4, 0, 0, 0, 0], [0, 4, 4, 4, 0, 4, 4, 4, 0, 0], [4, 0, 4, 4, 0, 4, 4, 4, 4, 0], [4, 0, 4, 0, 0, 0, 0, 4, 0, 0], [0, 4, 4, 4, 0, 4, 0, 0, 4, 0], [4, 4, 0, 4, 0, 0, 0, 0, 4, 0], [4, 4, 0, 4, 0, 0, 4, 0, 4, 4], [4, 0, 0, 4, 4, 4, 4, 0, 4, 4], [0, 0, 0, 4, 4, 4, 4, 4, 4, 4]] -> [[6, 6, 0, 6, 6, 6, 0, 6, 6, 0], [6, 6, 6, 0, 6, 6, 0, 0, 0, 0], [0, 6, 6, 6, 0, 6, 6, 6, 0, 0], [6, 0, 0, 0, 6, 6, 6, 6, 6, 0], [6, 0, 6, 0, 0, 0, 6, 0, 6, 0], [0, 0, 6, 6, 0, 0, 0, 0, 0, 0], [6, 6, 0, 6, 0, 0, 0, 0, 6, 0], [6, 6, 6, 6, 0, 6, 6, 6, 6, 6], [6, 0, 6, 6, 6, 6, 6, 0, 6, 0], [0, 6, 6, 6, 6, 6, 6, 6, 6, 0]]\nExample input-output arrays:\n[[0, 0, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 0, 2, 2, 0, 0, 2, 2, 0], [0, 2, 0, 0, 2, 2, 2, 0, 0, 0], [0, 0, 0, 0, 0, 2, 2, 0, 2, 2], [2, 0, 2, 0, 0, 0, 2, 2, 2, 2], [2, 2, 2, 0, 0, 0, 0, 2, 0, 0], [0, 0, 2, 2, 2, 2, 2, 0, 0, 0], [0, 2, 0, 0, 2, 0, 0, 0, 0, 2], [0, 0, 2, 2, 0, 0, 0, 0, 2, 2], [2, 0, 0, 0, 0, 0, 2, 2, 2, 0], [0, 1, 1, 0, 1, 0, 0, 1, 0, 1], [1, 1, 0, 0, 0, 0, 1, 1, 0, 1], [1, 0, 0, 1, 1, 1, 0, 1, 1, 0], [1, 1, 0, 1, 1, 0, 0, 0, 1, 0], [1, 0, 1, 1, 0, 0, 1, 0, 0, 1], [0, 0, 0, 1, 0, 0, 0, 1, 1, 0], [0, 0, 1, 1, 0, 0, 0, 0, 1, 0], [0, 1, 0, 1, 0, 1, 0, 0, 1, 0], [1, 0, 1, 0, 0, 1, 0, 1, 0, 1], [1, 0, 0, 0, 0, 0, 1, 0, 0, 0], [0, 0, 4, 4, 4, 4, 4, 0, 0, 0], [0, 4, 4, 4, 0, 4, 4, 0, 0, 0], [4, 4, 4, 4, 4, 4, 4, 0, 4, 4], [4, 0, 4, 0, 4, 0, 0, 0, 4, 4], [4, 4, 4, 4, 4, 0, 0, 4, 4, 0], [4, 0, 0, 4, 0, 0, 0, 0, 4, 0], [4, 0, 4, 0, 0, 4, 0, 4, 0, 0], [0, 0, 0, 4, 0, 0, 0, 0, 4, 0], [0, 4, 0, 0, 4, 0, 4, 4, 0, 4], [4, 4, 4, 4, 4, 0, 0, 4, 0, 4]] -> [[0, 0, 0, 6, 0, 6, 6, 6, 0, 6], [6, 0, 6, 6, 0, 6, 6, 6, 0, 0], [6, 6, 6, 6, 0, 0, 6, 0, 6, 6], [6, 0, 6, 0, 6, 0, 0, 0, 0, 6], [0, 6, 0, 6, 6, 0, 6, 6, 6, 6], [6, 0, 0, 6, 0, 0, 0, 6, 6, 0], [6, 0, 0, 6, 0, 6, 0, 6, 0, 0], [0, 6, 0, 6, 0, 0, 0, 0, 6, 0], [0, 6, 6, 0, 6, 0, 6, 6, 0, 0], [0, 6, 6, 6, 6, 0, 6, 6, 0, 6]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 0, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 0, 2, 2, 0, 0, 2, 2, 0], [0, 2, 0, 0, 2, 2, 2, 0, 0, 0], [0, 0, 0, 0, 0, 2, 2, 0, 2, 2], [2, 0, 2, 0, 0, 0, 2, 2, 2, 2], [2, 2, 2, 0, 0, 0, 0, 2, 0, 0], [0, 0, 2, 2, 2, 2, 2, 0, 0, 0], [0, 2, 0, 0, 2, 0, 0, 0, 0, 2], [0, 0, 2, 2, 0, 0, 0, 0, 2, 2], [2, 0, 0, 0, 0, 0, 2, 2, 2, 0], [0, 5, 5, 0, 5, 0, 0, 5, 0, 5], [5, 5, 0, 0, 0, 0, 5, 5, 0, 5], [5, 0, 0, 5, 5, 5, 0, 5, 5, 0], [5, 5, 0, 5, 5, 0, 0, 0, 5, 0], [5, 0, 5, 5, 0, 0, 5, 0, 0, 5], [0, 0, 0, 5, 0, 0, 0, 5, 5, 0], [0, 0, 5, 5, 0, 0, 0, 0, 5, 0], [0, 5, 0, 5, 0, 5, 0, 0, 5, 0], [5, 0, 5, 0, 0, 5, 0, 5, 0, 5], [5, 0, 0, 0, 0, 0, 5, 0, 0, 0], [0, 0, 4, 4, 4, 4, 4, 0, 0, 0], [0, 4, 4, 4, 0, 4, 4, 0, 0, 0], [4, 4, 4, 4, 4, 4, 4, 0, 4, 4], [4, 0, 4, 0, 4, 0, 0, 0, 4, 4], [4, 4, 4, 4, 4, 0, 0, 4, 4, 0], [4, 0, 0, 4, 0, 0, 0, 0, 4, 0], [4, 0, 4, 0, 0, 4, 0, 4, 0, 0], [0, 0, 0, 4, 0, 0, 0, 0, 4, 0], [0, 4, 0, 0, 4, 0, 4, 4, 0, 4], [4, 4, 4, 4, 4, 0, 0, 4, 0, 4]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0
+                        ],
+                        [
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2
+                        ],
+                        [
+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0
+                        ],
+                        [
+                            0,
+                            5,
+                            5,
+                            0,
+                            5,
+                            0,
+                            0,
+                            5,
+                            0,
+                            5
+                        ],
+                        [
+                            5,
+                            5,
+                            0,
+                            0,
+                            0,
+                            0,
+                            5,
+                            5,
+                            0,
+                            5
+                        ],
+                        [
+                            5,
+                            0,
+                            0,
+                            5,
+                            5,
+                            5,
+                            0,
+                            5,
+                            5,
+                            0
+                        ],
+                        [
+                            5,
+                            5,
+                            0,
+                            5,
+                            5,
+                            0,
+                            0,
+                            0,
+                            5,
+                            0
+                        ],
+                        [
+                            5,
+                            0,
+                            5,
+                            5,
+                            0,
+                            0,
+                            5,
+                            0,
+                            0,
+                            5
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            5,
+                            0,
+                            0,
+                            0,
+                            5,
+                            5,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            5,
+                            5,
+                            0,
+                            0,
+                            0,
+                            0,
+                            5,
+                            0
+                        ],
+                        [
+                            0,
+                            5,
+                            0,
+                            5,
+                            0,
+                            5,
+                            0,
+                            0,
+                            5,
+                            0
+                        ],
+                        [
+                            5,
+                            0,
+                            5,
+                            0,
+                            0,
+                            5,
+                            0,
+                            5,
+                            0,
+                            5
+                        ],
+                        [
+                            5,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            5,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            4,
+                            4,
+                            4,
+                            0,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            0,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            0,
+                            4,
+                            0,
+                            4,
+                            0,
+                            0,
+                            0,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            4,
+                            4,
+                            0
+                        ],
+                        [
+                            4,
+                            0,
+                            0,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0,
+                            4,
+                            0
+                        ],
+                        [
+                            4,
+                            0,
+                            4,
+                            0,
+                            0,
+                            4,
+                            0,
+                            4,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0,
+                            4,
+                            0
+                        ],
+                        [
+                            0,
+                            4,
+                            0,
+                            0,
+                            4,
+                            0,
+                            4,
+                            4,
+                            0,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            4,
+                            0,
+                            4
+                        ]
+                    ],
+                    "output": [
+                        [
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6
+                        ],
+                        [
+                            6,
+                            0,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            6,
+                            6,
+                            0
+                        ],
+                        [
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0
+                        ],
+                        [
+                            0,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0,
+                            6
+                        ]
+                    ]
+                }
+            },
+            "Replicate 2": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 0, 2, 2, 0, 2, 2, 2, 0], [2, 0, 2, 2, 2, 2, 0, 2, 2, 0], [0, 0, 0, 2, 0, 2, 2, 0, 2, 0], [2, 2, 0, 2, 2, 0, 0, 2, 0, 2], [2, 2, 2, 2, 2, 0, 2, 0, 0, 2], [2, 0, 2, 0, 2, 0, 0, 2, 0, 2], [2, 2, 0, 2, 2, 2, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 0, 2, 0, 0], [2, 0, 0, 0, 2, 2, 0, 2, 0, 0], [0, 2, 2, 0, 2, 2, 2, 0, 0, 0], [1, 1, 1, 0, 1, 1, 0, 1, 1, 1], [1, 1, 0, 1, 1, 1, 0, 0, 0, 1], [0, 1, 0, 0, 1, 0, 0, 0, 1, 0], [1, 1, 1, 0, 1, 0, 0, 1, 1, 0], [1, 0, 1, 0, 0, 0, 0, 0, 0, 1], [1, 0, 1, 0, 1, 0, 1, 0, 1, 1], [0, 0, 1, 0, 1, 1, 1, 1, 1, 0], [1, 1, 1, 1, 0, 0, 0, 0, 0, 1], [0, 0, 0, 1, 0, 1, 1, 1, 1, 1], [0, 0, 1, 0, 0, 0, 1, 0, 0, 0], [0, 0, 4, 0, 4, 0, 4, 4, 0, 0], [0, 4, 4, 0, 0, 4, 4, 4, 4, 0], [0, 0, 0, 0, 0, 4, 0, 4, 4, 4], [0, 4, 4, 0, 4, 0, 4, 4, 4, 4], [0, 4, 4, 4, 4, 0, 0, 4, 0, 4], [4, 4, 0, 0, 4, 0, 4, 4, 0, 0], [4, 0, 4, 0, 4, 4, 0, 4, 4, 4], [0, 4, 4, 4, 0, 0, 0, 0, 0, 0], [4, 4, 4, 4, 0, 0, 0, 4, 0, 0], [4, 4, 4, 0, 0, 4, 0, 4, 4, 4]] -> [[0, 0, 6, 0, 0, 0, 6, 0, 6, 0], [6, 6, 6, 6, 6, 0, 6, 6, 6, 0], [0, 0, 0, 0, 0, 6, 0, 6, 0, 6], [6, 0, 6, 0, 0, 0, 6, 0, 6, 6], [6, 6, 0, 6, 6, 0, 0, 6, 0, 0], [0, 6, 6, 0, 0, 0, 6, 6, 0, 6], [6, 0, 6, 0, 0, 0, 0, 6, 0, 6], [0, 6, 6, 6, 0, 0, 0, 0, 0, 0], [6, 6, 6, 6, 0, 6, 0, 0, 0, 0], [6, 6, 0, 0, 0, 6, 6, 6, 6, 6]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [0, 1, 0, 0, 1, 1, 1, 1, 1, 0], [0, 1, 0, 0, 1, 1, 1, 1, 0, 0], [0, 1, 0, 0, 1, 0, 1, 1, 1, 0], [0, 0, 0, 1, 1, 1, 0, 1, 0, 1], [1, 0, 0, 1, 0, 1, 1, 0, 0, 1], [0, 0, 1, 0, 1, 1, 1, 1, 1, 0], [0, 1, 0, 1, 0, 0, 1, 1, 0, 1], [0, 0, 0, 0, 1, 1, 0, 0, 0, 1], [0, 0, 1, 1, 1, 1, 0, 1, 1, 0], [0, 1, 1, 0, 0, 0, 1, 0, 1, 0], [0, 4, 0, 0, 4, 4, 0, 4, 0, 4], [0, 0, 4, 4, 0, 0, 4, 4, 4, 0], [4, 4, 0, 0, 0, 4, 0, 0, 4, 0], [0, 4, 4, 0, 0, 0, 0, 0, 0, 0], [4, 4, 4, 4, 4, 4, 4, 0, 0, 4], [0, 0, 4, 0, 0, 4, 0, 4, 0, 4], [4, 0, 4, 4, 4, 4, 0, 0, 0, 0], [0, 0, 0, 0, 4, 4, 0, 0, 4, 4], [4, 4, 4, 0, 0, 0, 0, 4, 4, 4], [4, 0, 0, 0, 0, 4, 4, 0, 4, 4]] -> [[0, 0, 0, 0, 0, 0, 6, 0, 6, 6], [0, 6, 6, 6, 6, 6, 0, 0, 6, 0], [6, 0, 0, 0, 6, 6, 6, 6, 0, 0], [0, 6, 6, 6, 6, 6, 0, 6, 0, 6], [0, 6, 6, 0, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 6, 0, 6, 0, 6, 6], [6, 6, 6, 0, 6, 6, 6, 6, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0, 6, 0], [6, 6, 0, 6, 6, 6, 0, 0, 0, 6], [6, 6, 6, 0, 0, 6, 0, 0, 0, 6]]\nExample input-output arrays:\n[[2, 2, 0, 0, 2, 2, 0, 0, 0, 0], [0, 0, 2, 2, 0, 2, 0, 2, 0, 2], [2, 2, 0, 0, 2, 2, 0, 0, 2, 2], [2, 0, 0, 2, 0, 0, 0, 2, 2, 0], [2, 0, 0, 2, 2, 2, 0, 0, 0, 2], [0, 2, 0, 2, 2, 2, 0, 2, 2, 2], [2, 0, 2, 2, 2, 2, 2, 0, 0, 2], [0, 2, 2, 0, 2, 0, 0, 0, 2, 0], [2, 2, 0, 0, 0, 2, 2, 0, 0, 2], [2, 0, 2, 0, 0, 0, 2, 2, 2, 2], [1, 0, 1, 0, 0, 1, 1, 1, 0, 1], [0, 1, 1, 0, 1, 1, 1, 0, 0, 1], [0, 0, 0, 1, 0, 0, 1, 0, 1, 1], [1, 1, 0, 1, 1, 0, 1, 0, 0, 0], [1, 0, 0, 0, 1, 1, 1, 0, 0, 0], [0, 0, 1, 1, 0, 0, 0, 1, 0, 0], [1, 1, 0, 0, 0, 1, 1, 1, 0, 1], [1, 1, 1, 0, 1, 0, 1, 0, 1, 1], [1, 0, 1, 0, 0, 1, 1, 1, 1, 0], [0, 1, 0, 1, 0, 0, 1, 0, 1, 1], [0, 4, 4, 4, 0, 4, 0, 0, 4, 0], [0, 4, 0, 0, 0, 0, 0, 0, 0, 4], [0, 4, 4, 4, 0, 0, 4, 4, 0, 4], [0, 4, 4, 0, 0, 4, 4, 0, 0, 4], [0, 0, 0, 0, 0, 0, 4, 0, 4, 0], [4, 4, 0, 4, 0, 4, 4, 0, 0, 4], [4, 0, 0, 4, 4, 4, 0, 4, 4, 0], [0, 4, 0, 4, 4, 4, 0, 4, 4, 4], [4, 4, 0, 0, 0, 0, 4, 4, 0, 4], [0, 0, 4, 0, 0, 0, 0, 4, 4, 4]] -> [[6, 6, 6, 6, 0, 0, 0, 0, 6, 0], [0, 6, 6, 0, 0, 6, 0, 0, 0, 0], [0, 6, 6, 6, 0, 0, 6, 6, 6, 0], [6, 6, 6, 6, 0, 6, 6, 0, 0, 6], [6, 0, 0, 0, 6, 6, 6, 0, 6, 0], [6, 6, 0, 0, 0, 6, 6, 6, 0, 6], [0, 0, 0, 6, 6, 0, 6, 6, 6, 6], [0, 0, 6, 6, 0, 6, 0, 6, 0, 6], [0, 6, 0, 0, 0, 6, 0, 6, 0, 6], [0, 0, 6, 0, 0, 0, 6, 6, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing the causal function for some elements.\n[[2, 2, 2, 0, 0, 0, 0, 2, 2, 2], [2, 0, 2, 2, 2, 2, 2, 0, 0, 2], [0, 0, 0, 2, 0, 2, 0, 2, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0, 2], [2, 2, 2, 2, 2, 0, 2, 2, 2, 2], [2, 2, 2, 0, 2, 0, 0, 2, 0, 0], [2, 0, 2, 2, 2, 0, 0, 2, 0, 0], [0, 2, 2, 2, 0, 2, 2, 0, 0, 0], [0, 2, 2, 2, 2, 2, 0, 0, 2, 2], [0, 0, 2, 0, 2, 0, 2, 2, 0, 2], [0, 1, 0, 1, 1, 0, 0, 0, 1, 0], [1, 0, 0, 1, 0, 0, 0, 1, 1, 0], [1, 1, 1, 0, 1, 1, 0, 1, 0, 0], [0, 0, 1, 0, 0, 1, 0, 1, 1, 1], [0, 1, 1, 1, 0, 0, 0, 1, 1, 1], [1, 1, 0, 0, 1, 1, 1, 0, 1, 1], [0, 0, 1, 1, 1, 0, 0, 0, 1, 0], [0, 0, 0, 1, 0, 1, 0, 1, 0, 0], [0, 1, 0, 1, 1, 0, 0, 0, 0, 1], [1, 0, 1, 0, 1, 1, 0, 1, 0, 0], [0, 0, 4, 4, 0, 0, 4, 4, 0, 0], [4, 0, 0, 0, 0, 4, 4, 4, 0, 0], [0, 0, 4, 4, 4, 0, 4, 0, 0, 0], [4, 0, 0, 0, 4, 0, 0, 0, 0, 0], [4, 4, 0, 0, 0, 4, 4, 4, 4, 0], [0, 4, 4, 0, 4, 4, 4, 4, 4, 0], [4, 4, 4, 4, 0, 0, 4, 0, 4, 0], [0, 4, 4, 4, 4, 0, 4, 0, 4, 4], [4, 0, 0, 4, 4, 0, 0, 4, 0, 0], [0, 0, 0, 0, 0, 4, 4, 0, 4, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0
+                        ],
+                        [
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0
+                        ],
+                        [
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2
+                        ],
+                        [
+                            0,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            2,
+                            0,
+                            2
+                        ],
+                        [
+                            0,
+                            1,
+                            0,
+                            1,
+                            1,
+                            0,
+                            0,
+                            0,
+                            1,
+                            0
+                        ],
+                        [
+                            1,
+                            0,
+                            0,
+                            1,
+                            0,
+                            0,
+                            0,
+                            1,
+                            1,
+                            0
+                        ],
+                        [
+                            1,
+                            1,
+                            1,
+                            0,
+                            1,
+                            1,
+                            0,
+                            1,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            1,
+                            0,
+                            0,
+                            1,
+                            0,
+                            1,
+                            1,
+                            1
+                        ],
+                        [
+                            0,
+                            1,
+                            1,
+                            1,
+                            0,
+                            0,
+                            0,
+                            1,
+                            1,
+                            1
+                        ],
+                        [
+                            1,
+                            1,
+                            0,
+                            0,
+                            1,
+                            1,
+                            1,
+                            0,
+                            1,
+                            1
+                        ],
+                        [
+                            0,
+                            0,
+                            1,
+                            1,
+                            1,
+                            0,
+                            0,
+                            0,
+                            1,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            1,
+                            0,
+                            1,
+                            0,
+                            1,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            1,
+                            0,
+                            1,
+                            1,
+                            0,
+                            0,
+                            0,
+                            0,
+                            1
+                        ],
+                        [
+                            1,
+                            0,
+                            1,
+                            0,
+                            1,
+                            1,
+                            0,
+                            1,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            4,
+                            4,
+                            0,
+                            0,
+                            4,
+                            4,
+                            0,
+                            0
+                        ],
+                        [
+                            4,
+                            0,
+                            0,
+                            0,
+                            0,
+                            4,
+                            4,
+                            4,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            4,
+                            4,
+                            4,
+                            0,
+                            4,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            4,
+                            0,
+                            0,
+                            0,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            4,
+                            4,
+                            4,
+                            4,
+                            0
+                        ],
+                        [
+                            0,
+                            4,
+                            4,
+                            0,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            0
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            4,
+                            0,
+                            4,
+                            0
+                        ],
+                        [
+                            0,
+                            4,
+                            4,
+                            4,
+                            4,
+                            0,
+                            4,
+                            0,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            0,
+                            0,
+                            4,
+                            4,
+                            0,
+                            0,
+                            4,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            4,
+                            4,
+                            0,
+                            4,
+                            0
+                        ]
+                    ],
+                    "output": [
+                        [
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0
+                        ],
+                        [
+                            6,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6
+                        ],
+                        [
+                            6,
+                            0,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6
+                        ],
+                        [
+                            6,
+                            0,
+                            6,
+                            0,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0
+                        ],
+                        [
+                            6,
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0
+                        ],
+                        [
+                            0,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6
+                        ],
+                        [
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0
+                        ]
+                    ]
+                }
+            },
+            "Replicate 3": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[2, 2, 0, 0, 2, 2, 0, 0, 0, 0], [0, 0, 2, 2, 0, 2, 0, 2, 0, 2], [2, 2, 0, 0, 2, 2, 0, 0, 2, 2], [2, 0, 0, 2, 0, 0, 0, 2, 2, 0], [2, 0, 0, 2, 2, 2, 0, 0, 0, 2], [0, 2, 0, 2, 2, 2, 0, 2, 2, 2], [2, 0, 2, 2, 2, 2, 2, 0, 0, 2], [0, 2, 2, 0, 2, 0, 0, 0, 2, 0], [2, 2, 0, 0, 0, 2, 2, 0, 0, 2], [2, 0, 2, 0, 0, 0, 2, 2, 2, 2], [1, 0, 1, 0, 0, 1, 1, 1, 0, 1], [0, 1, 1, 0, 1, 1, 1, 0, 0, 1], [0, 0, 0, 1, 0, 0, 1, 0, 1, 1], [1, 1, 0, 1, 1, 0, 1, 0, 0, 0], [1, 0, 0, 0, 1, 1, 1, 0, 0, 0], [0, 0, 1, 1, 0, 0, 0, 1, 0, 0], [1, 1, 0, 0, 0, 1, 1, 1, 0, 1], [1, 1, 1, 0, 1, 0, 1, 0, 1, 1], [1, 0, 1, 0, 0, 1, 1, 1, 1, 0], [0, 1, 0, 1, 0, 0, 1, 0, 1, 1], [0, 4, 4, 4, 0, 4, 0, 0, 4, 0], [0, 4, 0, 0, 0, 0, 0, 0, 0, 4], [0, 4, 4, 4, 0, 0, 4, 4, 0, 4], [0, 4, 4, 0, 0, 4, 4, 0, 0, 4], [0, 0, 0, 0, 0, 0, 4, 0, 4, 0], [4, 4, 0, 4, 0, 4, 4, 0, 0, 4], [4, 0, 0, 4, 4, 4, 0, 4, 4, 0], [0, 4, 0, 4, 4, 4, 0, 4, 4, 4], [4, 4, 0, 0, 0, 0, 4, 4, 0, 4], [0, 0, 4, 0, 0, 0, 0, 4, 4, 4]] -> [[6, 6, 6, 6, 0, 0, 0, 0, 6, 0], [0, 6, 6, 0, 0, 6, 0, 0, 0, 0], [0, 6, 6, 6, 0, 0, 6, 6, 6, 0], [6, 6, 6, 6, 0, 6, 6, 0, 0, 6], [6, 0, 0, 0, 6, 6, 6, 0, 6, 0], [6, 6, 0, 0, 0, 6, 6, 6, 0, 6], [0, 0, 0, 6, 6, 0, 6, 6, 6, 6], [0, 0, 6, 6, 0, 6, 0, 6, 0, 6], [0, 6, 0, 0, 0, 6, 0, 6, 0, 6], [0, 0, 6, 0, 0, 0, 6, 6, 0, 0]]\nExample input-output arrays:\n[[2, 2, 0, 0, 2, 2, 0, 0, 0, 0], [0, 0, 2, 2, 0, 2, 0, 2, 0, 2], [2, 2, 0, 0, 2, 2, 0, 0, 2, 2], [2, 0, 0, 2, 0, 0, 0, 2, 2, 0], [2, 0, 0, 2, 2, 2, 0, 0, 0, 2], [0, 2, 0, 2, 2, 2, 0, 2, 2, 2], [2, 0, 2, 2, 2, 2, 2, 0, 0, 2], [0, 2, 2, 0, 2, 0, 0, 0, 2, 0], [2, 2, 0, 0, 0, 2, 2, 0, 0, 2], [2, 0, 2, 0, 0, 0, 2, 2, 2, 2], [1, 0, 1, 0, 0, 1, 1, 1, 0, 1], [0, 1, 1, 0, 1, 1, 1, 0, 0, 1], [0, 0, 0, 1, 0, 0, 1, 0, 1, 1], [1, 1, 0, 1, 1, 0, 1, 0, 0, 0], [1, 0, 0, 0, 1, 1, 1, 0, 0, 0], [0, 0, 1, 1, 0, 0, 0, 1, 0, 0], [1, 1, 0, 0, 0, 1, 1, 1, 0, 1], [1, 1, 1, 0, 1, 0, 1, 0, 1, 1], [1, 0, 1, 0, 0, 1, 1, 1, 1, 0], [0, 1, 0, 1, 0, 0, 1, 0, 1, 1], [0, 4, 4, 4, 0, 4, 0, 0, 4, 0], [0, 4, 0, 0, 0, 0, 0, 0, 0, 4], [0, 4, 4, 4, 0, 0, 4, 4, 0, 4], [0, 4, 4, 0, 0, 4, 4, 0, 0, 4], [0, 0, 0, 0, 0, 0, 4, 0, 4, 0], [4, 4, 0, 4, 0, 4, 4, 0, 0, 4], [4, 0, 0, 4, 4, 4, 0, 4, 4, 0], [0, 4, 0, 4, 4, 4, 0, 4, 4, 4], [4, 4, 0, 0, 0, 0, 4, 4, 0, 4], [0, 0, 4, 0, 0, 0, 0, 4, 4, 4]] -> [[6, 6, 6, 6, 0, 0, 0, 0, 6, 0], [0, 6, 6, 0, 0, 6, 0, 0, 0, 0], [0, 6, 6, 6, 0, 0, 6, 6, 6, 0], [6, 6, 6, 6, 0, 6, 6, 0, 0, 6], [6, 0, 0, 0, 6, 6, 6, 0, 6, 0], [6, 6, 0, 0, 0, 6, 6, 6, 0, 6], [0, 0, 0, 6, 6, 0, 6, 6, 6, 6], [0, 0, 6, 6, 0, 6, 0, 6, 0, 6], [0, 6, 0, 0, 0, 6, 0, 6, 0, 6], [0, 0, 6, 0, 0, 0, 6, 6, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 1, 1, 1, 0, 0, 0, 1, 0, 1], [1, 1, 1, 0, 0, 0, 0, 1, 1, 0], [0, 0, 0, 1, 1, 1, 1, 1, 0, 0], [1, 1, 0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0, 1, 0, 1, 0], [0, 1, 1, 0, 0, 1, 1, 0, 0, 0], [1, 1, 0, 0, 1, 1, 0, 0, 0, 0], [0, 1, 1, 0, 0, 1, 1, 0, 1, 1], [0, 1, 0, 0, 1, 1, 1, 0, 1, 0], [1, 1, 1, 0, 1, 0, 0, 1, 1, 1], [0, 4, 4, 4, 0, 4, 0, 0, 4, 0], [4, 4, 4, 0, 0, 4, 4, 4, 4, 4], [4, 4, 4, 4, 0, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 0, 4, 0, 4, 0], [0, 0, 0, 4, 0, 0, 4, 4, 4, 0], [0, 4, 0, 0, 4, 0, 4, 4, 0, 4], [4, 0, 4, 0, 0, 4, 0, 4, 4, 4], [0, 0, 4, 4, 4, 4, 0, 0, 0, 0], [4, 0, 4, 4, 4, 0, 4, 4, 0, 4], [0, 0, 0, 0, 0, 4, 0, 4, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            1,
+                            1,
+                            1,
+                            1,
+                            0,
+                            0,
+                            0,
+                            1,
+                            0,
+                            1
+                        ],
+                        [
+                            1,
+                            1,
+                            1,
+                            0,
+                            0,
+                            0,
+                            0,
+                            1,
+                            1,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            0,
+                            0
+                        ],
+                        [
+                            1,
+                            1,
+                            0,
+                            0,
+                            1,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            1,
+                            0,
+                            0,
+                            1,
+                            0,
+                            1,
+                            0
+                        ],
+                        [
+                            0,
+                            1,
+                            1,
+                            0,
+                            0,
+                            1,
+                            1,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            1,
+                            1,
+                            0,
+                            0,
+                            1,
+                            1,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            1,
+                            1,
+                            0,
+                            0,
+                            1,
+                            1,
+                            0,
+                            1,
+                            1
+                        ],
+                        [
+                            0,
+                            1,
+                            0,
+                            0,
+                            1,
+                            1,
+                            1,
+                            0,
+                            1,
+                            0
+                        ],
+                        [
+                            1,
+                            1,
+                            1,
+                            0,
+                            1,
+                            0,
+                            0,
+                            1,
+                            1,
+                            1
+                        ],
+                        [
+                            0,
+                            4,
+                            4,
+                            4,
+                            0,
+                            4,
+                            0,
+                            0,
+                            4,
+                            0
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            0,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            0,
+                            4,
+                            0,
+                            4,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            4,
+                            0,
+                            0,
+                            4,
+                            4,
+                            4,
+                            0
+                        ],
+                        [
+                            0,
+                            4,
+                            0,
+                            0,
+                            4,
+                            0,
+                            4,
+                            4,
+                            0,
+                            4
+                        ],
+                        [
+                            4,
+                            0,
+                            4,
+                            0,
+                            0,
+                            4,
+                            0,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            0,
+                            0,
+                            4,
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            4,
+                            0,
+                            4,
+                            4,
+                            4,
+                            0,
+                            4,
+                            4,
+                            0,
+                            4
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            4,
+                            0,
+                            4,
+                            0,
+                            0
+                        ]
+                    ],
+                    "output": [
+                        [
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0,
+                            6,
+                            0
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0
+                        ],
+                        [
+                            0,
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0,
+                            6
+                        ],
+                        [
+                            6,
+                            0,
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            0,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0,
+                            6
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0
+                        ]
+                    ]
+                }
+            },
+            "Replicate 4": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 0, 2, 2, 0, 2, 2, 2, 0], [2, 0, 2, 2, 2, 2, 0, 2, 2, 0], [0, 0, 0, 2, 0, 2, 2, 0, 2, 0], [2, 2, 0, 2, 2, 0, 0, 2, 0, 2], [2, 2, 2, 2, 2, 0, 2, 0, 0, 2], [2, 0, 2, 0, 2, 0, 0, 2, 0, 2], [2, 2, 0, 2, 2, 2, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 0, 2, 0, 0], [2, 0, 0, 0, 2, 2, 0, 2, 0, 0], [0, 2, 2, 0, 2, 2, 2, 0, 0, 0], [1, 1, 1, 0, 1, 1, 0, 1, 1, 1], [1, 1, 0, 1, 1, 1, 0, 0, 0, 1], [0, 1, 0, 0, 1, 0, 0, 0, 1, 0], [1, 1, 1, 0, 1, 0, 0, 1, 1, 0], [1, 0, 1, 0, 0, 0, 0, 0, 0, 1], [1, 0, 1, 0, 1, 0, 1, 0, 1, 1], [0, 0, 1, 0, 1, 1, 1, 1, 1, 0], [1, 1, 1, 1, 0, 0, 0, 0, 0, 1], [0, 0, 0, 1, 0, 1, 1, 1, 1, 1], [0, 0, 1, 0, 0, 0, 1, 0, 0, 0], [0, 0, 4, 0, 4, 0, 4, 4, 0, 0], [0, 4, 4, 0, 0, 4, 4, 4, 4, 0], [0, 0, 0, 0, 0, 4, 0, 4, 4, 4], [0, 4, 4, 0, 4, 0, 4, 4, 4, 4], [0, 4, 4, 4, 4, 0, 0, 4, 0, 4], [4, 4, 0, 0, 4, 0, 4, 4, 0, 0], [4, 0, 4, 0, 4, 4, 0, 4, 4, 4], [0, 4, 4, 4, 0, 0, 0, 0, 0, 0], [4, 4, 4, 4, 0, 0, 0, 4, 0, 0], [4, 4, 4, 0, 0, 4, 0, 4, 4, 4]] -> [[0, 0, 6, 0, 0, 0, 6, 0, 6, 0], [6, 6, 6, 6, 6, 0, 6, 6, 6, 0], [0, 0, 0, 0, 0, 6, 0, 6, 0, 6], [6, 0, 6, 0, 0, 0, 6, 0, 6, 6], [6, 6, 0, 6, 6, 0, 0, 6, 0, 0], [0, 6, 6, 0, 0, 0, 6, 6, 0, 6], [6, 0, 6, 0, 0, 0, 0, 6, 0, 6], [0, 6, 6, 6, 0, 0, 0, 0, 0, 0], [6, 6, 6, 6, 0, 6, 0, 0, 0, 0], [6, 6, 0, 0, 0, 6, 6, 6, 6, 6]]\nCounterfactual: Now imagine that we intervened on the previous input by changing the causal function for some elements.\n[[0, 0, 0, 0, 2, 2, 2, 2, 0, 2], [2, 0, 2, 2, 0, 0, 0, 0, 0, 2], [0, 0, 2, 0, 2, 0, 0, 2, 2, 2], [0, 0, 2, 2, 2, 2, 0, 0, 2, 0], [0, 2, 0, 0, 0, 0, 0, 0, 0, 2], [2, 2, 0, 2, 2, 0, 2, 0, 0, 2], [0, 2, 0, 0, 2, 2, 2, 0, 2, 0], [0, 2, 0, 0, 0, 0, 0, 0, 2, 2], [2, 0, 2, 2, 2, 0, 2, 0, 0, 2], [2, 2, 2, 2, 0, 2, 2, 2, 2, 0], [0, 0, 0, 1, 0, 0, 1, 0, 0, 0], [0, 0, 1, 0, 0, 0, 1, 1, 1, 0], [1, 0, 1, 1, 0, 1, 1, 1, 0, 1], [0, 0, 0, 1, 0, 1, 1, 0, 0, 1], [0, 1, 0, 1, 1, 1, 1, 1, 1, 0], [0, 1, 0, 1, 0, 1, 0, 1, 0, 0], [1, 1, 0, 1, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 1, 1, 1, 1, 1, 0], [1, 1, 1, 0, 1, 0, 0, 0, 0, 0], [1, 1, 0, 1, 1, 1, 0, 1, 1, 1], [0, 4, 4, 4, 4, 4, 4, 0, 4, 4], [0, 4, 4, 0, 0, 0, 4, 4, 0, 4], [4, 0, 4, 0, 0, 4, 4, 4, 0, 0], [4, 4, 0, 4, 4, 0, 0, 4, 4, 4], [0, 0, 0, 0, 4, 4, 0, 4, 0, 0], [4, 0, 4, 4, 4, 4, 0, 4, 0, 0], [4, 4, 4, 4, 4, 0, 4, 0, 4, 4], [4, 4, 0, 4, 4, 0, 4, 4, 0, 0], [4, 4, 0, 4, 4, 0, 0, 0, 0, 4], [4, 0, 4, 0, 0, 4, 0, 0, 0, 0]] -> [[0, 6, 6, 6, 6, 6, 0, 0, 6, 6], [0, 6, 0, 0, 0, 0, 6, 6, 0, 6], [6, 0, 0, 0, 0, 6, 6, 0, 0, 6], [6, 6, 0, 0, 6, 6, 0, 6, 6, 6], [0, 6, 0, 0, 6, 6, 0, 6, 0, 0], [6, 6, 6, 0, 6, 6, 0, 6, 0, 0], [6, 0, 6, 6, 6, 0, 6, 0, 6, 6], [6, 6, 0, 6, 6, 0, 6, 6, 6, 0], [0, 6, 6, 6, 0, 0, 0, 0, 0, 6], [0, 6, 6, 6, 0, 0, 0, 6, 6, 0]]\nExample input-output arrays:\n[[2, 2, 0, 0, 2, 2, 0, 0, 0, 0], [0, 0, 2, 2, 0, 2, 0, 2, 0, 2], [2, 2, 0, 0, 2, 2, 0, 0, 2, 2], [2, 0, 0, 2, 0, 0, 0, 2, 2, 0], [2, 0, 0, 2, 2, 2, 0, 0, 0, 2], [0, 2, 0, 2, 2, 2, 0, 2, 2, 2], [2, 0, 2, 2, 2, 2, 2, 0, 0, 2], [0, 2, 2, 0, 2, 0, 0, 0, 2, 0], [2, 2, 0, 0, 0, 2, 2, 0, 0, 2], [2, 0, 2, 0, 0, 0, 2, 2, 2, 2], [1, 0, 1, 0, 0, 1, 1, 1, 0, 1], [0, 1, 1, 0, 1, 1, 1, 0, 0, 1], [0, 0, 0, 1, 0, 0, 1, 0, 1, 1], [1, 1, 0, 1, 1, 0, 1, 0, 0, 0], [1, 0, 0, 0, 1, 1, 1, 0, 0, 0], [0, 0, 1, 1, 0, 0, 0, 1, 0, 0], [1, 1, 0, 0, 0, 1, 1, 1, 0, 1], [1, 1, 1, 0, 1, 0, 1, 0, 1, 1], [1, 0, 1, 0, 0, 1, 1, 1, 1, 0], [0, 1, 0, 1, 0, 0, 1, 0, 1, 1], [0, 4, 4, 4, 0, 4, 0, 0, 4, 0], [0, 4, 0, 0, 0, 0, 0, 0, 0, 4], [0, 4, 4, 4, 0, 0, 4, 4, 0, 4], [0, 4, 4, 0, 0, 4, 4, 0, 0, 4], [0, 0, 0, 0, 0, 0, 4, 0, 4, 0], [4, 4, 0, 4, 0, 4, 4, 0, 0, 4], [4, 0, 0, 4, 4, 4, 0, 4, 4, 0], [0, 4, 0, 4, 4, 4, 0, 4, 4, 4], [4, 4, 0, 0, 0, 0, 4, 4, 0, 4], [0, 0, 4, 0, 0, 0, 0, 4, 4, 4]] -> [[6, 6, 6, 6, 0, 0, 0, 0, 6, 0], [0, 6, 6, 0, 0, 6, 0, 0, 0, 0], [0, 6, 6, 6, 0, 0, 6, 6, 6, 0], [6, 6, 6, 6, 0, 6, 6, 0, 0, 6], [6, 0, 0, 0, 6, 6, 6, 0, 6, 0], [6, 6, 0, 0, 0, 6, 6, 6, 0, 6], [0, 0, 0, 6, 6, 0, 6, 6, 6, 6], [0, 0, 6, 6, 0, 6, 0, 6, 0, 6], [0, 6, 0, 0, 0, 6, 0, 6, 0, 6], [0, 0, 6, 0, 0, 0, 6, 6, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing the causal function for some elements.\n[[2, 2, 2, 0, 0, 0, 0, 2, 2, 2], [2, 0, 2, 2, 2, 2, 2, 0, 0, 2], [0, 0, 0, 2, 0, 2, 0, 2, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0, 2], [2, 2, 2, 2, 2, 0, 2, 2, 2, 2], [2, 2, 2, 0, 2, 0, 0, 2, 0, 0], [2, 0, 2, 2, 2, 0, 0, 2, 0, 0], [0, 2, 2, 2, 0, 2, 2, 0, 0, 0], [0, 2, 2, 2, 2, 2, 0, 0, 2, 2], [0, 0, 2, 0, 2, 0, 2, 2, 0, 2], [0, 1, 0, 1, 1, 0, 0, 0, 1, 0], [1, 0, 0, 1, 0, 0, 0, 1, 1, 0], [1, 1, 1, 0, 1, 1, 0, 1, 0, 0], [0, 0, 1, 0, 0, 1, 0, 1, 1, 1], [0, 1, 1, 1, 0, 0, 0, 1, 1, 1], [1, 1, 0, 0, 1, 1, 1, 0, 1, 1], [0, 0, 1, 1, 1, 0, 0, 0, 1, 0], [0, 0, 0, 1, 0, 1, 0, 1, 0, 0], [0, 1, 0, 1, 1, 0, 0, 0, 0, 1], [1, 0, 1, 0, 1, 1, 0, 1, 0, 0], [0, 0, 4, 4, 0, 0, 4, 4, 0, 0], [4, 0, 0, 0, 0, 4, 4, 4, 0, 0], [0, 0, 4, 4, 4, 0, 4, 0, 0, 0], [4, 0, 0, 0, 4, 0, 0, 0, 0, 0], [4, 4, 0, 0, 0, 4, 4, 4, 4, 0], [0, 4, 4, 0, 4, 4, 4, 4, 4, 0], [4, 4, 4, 4, 0, 0, 4, 0, 4, 0], [0, 4, 4, 4, 4, 0, 4, 0, 4, 4], [4, 0, 0, 4, 4, 0, 0, 4, 0, 0], [0, 0, 0, 0, 0, 4, 4, 0, 4, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0
+                        ],
+                        [
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0
+                        ],
+                        [
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2
+                        ],
+                        [
+                            0,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            2,
+                            0,
+                            2
+                        ],
+                        [
+                            0,
+                            1,
+                            0,
+                            1,
+                            1,
+                            0,
+                            0,
+                            0,
+                            1,
+                            0
+                        ],
+                        [
+                            1,
+                            0,
+                            0,
+                            1,
+                            0,
+                            0,
+                            0,
+                            1,
+                            1,
+                            0
+                        ],
+                        [
+                            1,
+                            1,
+                            1,
+                            0,
+                            1,
+                            1,
+                            0,
+                            1,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            1,
+                            0,
+                            0,
+                            1,
+                            0,
+                            1,
+                            1,
+                            1
+                        ],
+                        [
+                            0,
+                            1,
+                            1,
+                            1,
+                            0,
+                            0,
+                            0,
+                            1,
+                            1,
+                            1
+                        ],
+                        [
+                            1,
+                            1,
+                            0,
+                            0,
+                            1,
+                            1,
+                            1,
+                            0,
+                            1,
+                            1
+                        ],
+                        [
+                            0,
+                            0,
+                            1,
+                            1,
+                            1,
+                            0,
+                            0,
+                            0,
+                            1,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            1,
+                            0,
+                            1,
+                            0,
+                            1,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            1,
+                            0,
+                            1,
+                            1,
+                            0,
+                            0,
+                            0,
+                            0,
+                            1
+                        ],
+                        [
+                            1,
+                            0,
+                            1,
+                            0,
+                            1,
+                            1,
+                            0,
+                            1,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            4,
+                            4,
+                            0,
+                            0,
+                            4,
+                            4,
+                            0,
+                            0
+                        ],
+                        [
+                            4,
+                            0,
+                            0,
+                            0,
+                            0,
+                            4,
+                            4,
+                            4,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            4,
+                            4,
+                            4,
+                            0,
+                            4,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            4,
+                            0,
+                            0,
+                            0,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            4,
+                            4,
+                            4,
+                            4,
+                            0
+                        ],
+                        [
+                            0,
+                            4,
+                            4,
+                            0,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            0
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            4,
+                            0,
+                            4,
+                            0
+                        ],
+                        [
+                            0,
+                            4,
+                            4,
+                            4,
+                            4,
+                            0,
+                            4,
+                            0,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            0,
+                            0,
+                            4,
+                            4,
+                            0,
+                            0,
+                            4,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            4,
+                            4,
+                            0,
+                            4,
+                            0
+                        ]
+                    ],
+                    "output": [
+                        [
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0
+                        ],
+                        [
+                            6,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6
+                        ],
+                        [
+                            6,
+                            0,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6
+                        ],
+                        [
+                            6,
+                            0,
+                            6,
+                            0,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0
+                        ],
+                        [
+                            6,
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0
+                        ],
+                        [
+                            0,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6
+                        ],
+                        [
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0
+                        ]
+                    ]
+                }
+            }
+        }
+    },
+    "SCMtcbq!and!xor!15x15": {
+        "L1": {
+            "Replicate 0": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0], [1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1], [1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0], [0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1], [1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1], [1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1], [1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1], [0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1], [1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1], [1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1], [0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1], [1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1], [1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1], [5, 0, 0, 0, 0, 0, 5, 0, 5, 5, 0, 0, 5, 5, 0], [5, 0, 0, 5, 0, 5, 0, 0, 5, 0, 0, 0, 5, 5, 0], [0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 5], [5, 0, 5, 0, 0, 5, 5, 5, 0, 0, 5, 5, 0, 0, 0], [0, 0, 5, 0, 5, 0, 5, 5, 0, 5, 5, 0, 0, 0, 0], [5, 5, 5, 5, 5, 5, 5, 5, 0, 0, 5, 5, 5, 0, 5], [0, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0, 5, 0, 0, 0], [5, 0, 5, 0, 0, 0, 0, 5, 0, 5, 5, 5, 5, 5, 5], [0, 5, 0, 0, 0, 5, 5, 0, 5, 5, 0, 0, 5, 0, 0], [5, 0, 0, 5, 0, 0, 5, 0, 0, 5, 0, 5, 0, 5, 0], [0, 5, 5, 0, 0, 0, 0, 0, 5, 5, 0, 5, 0, 0, 5], [0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0], [0, 5, 5, 0, 5, 5, 5, 0, 0, 5, 0, 5, 5, 5, 5], [0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 5, 5, 5, 0], [0, 0, 5, 5, 0, 5, 0, 0, 0, 0, 5, 0, 5, 5, 0], [2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2], [2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0], [2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0], [0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0], [0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0], [2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2], [0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0], [2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0], [0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0], [0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0], [0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0], [2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0], [0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0]] -> [[0, 0, 3, 0, 3, 0, 0, 0, 3, 3, 3, 0, 3, 3, 3], [0, 3, 0, 0, 0, 3, 3, 0, 3, 3, 0, 3, 3, 3, 0], [0, 0, 3, 0, 0, 3, 0, 3, 3, 3, 3, 3, 0, 3, 0], [3, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 3, 3, 3, 0], [0, 0, 3, 3, 0, 3, 3, 3, 3, 0, 0, 3, 0, 3, 0], [3, 3, 0, 3, 3, 3, 3, 3, 0, 0, 3, 3, 0, 3, 3], [3, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 3, 0, 3], [3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 3, 3], [3, 0, 3, 3, 3, 3, 3, 0, 3, 3, 0, 0, 0, 0, 0], [3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 0, 3, 3, 0, 0], [0, 3, 3, 3, 0, 3, 3, 0, 0, 3, 0, 0, 3, 3, 3], [0, 0, 0, 3, 3, 0, 3, 0, 0, 0, 0, 0, 3, 3, 0], [0, 0, 0, 3, 3, 3, 0, 0, 3, 3, 0, 0, 0, 0, 3], [3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0], [0, 3, 0, 0, 3, 3, 0, 3, 0, 3, 0, 3, 3, 3, 0]]\nExample input-output arrays:\n[[1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1], [0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1], [0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1], [1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1], [1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1], [0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0], [1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1], [1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1], [1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1], [0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1], [1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0], [0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0], [1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 5, 5, 5, 5, 0, 5, 5, 0], [0, 5, 0, 5, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 0], [5, 0, 5, 5, 5, 5, 5, 5, 5, 0, 0, 5, 0, 5, 5], [5, 0, 5, 5, 0, 5, 5, 5, 5, 0, 0, 5, 5, 5, 0], [5, 5, 5, 0, 0, 5, 5, 0, 0, 0, 0, 5, 0, 5, 5], [0, 5, 0, 5, 5, 5, 0, 5, 0, 0, 5, 5, 0, 0, 0], [0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 5, 0], [0, 0, 0, 5, 0, 0, 5, 5, 5, 0, 5, 0, 0, 5, 0], [5, 0, 5, 5, 5, 0, 0, 0, 0, 0, 5, 5, 5, 0, 5], [0, 5, 0, 0, 0, 5, 0, 5, 5, 5, 5, 0, 5, 5, 0], [0, 5, 0, 5, 0, 0, 0, 5, 0, 0, 0, 5, 5, 0, 5], [5, 5, 0, 5, 0, 0, 5, 5, 5, 5, 0, 5, 0, 0, 0], [0, 5, 0, 0, 5, 0, 5, 5, 5, 0, 0, 5, 0, 5, 0], [5, 0, 5, 0, 0, 0, 0, 0, 5, 5, 0, 5, 5, 0, 5], [0, 0, 5, 5, 5, 5, 0, 5, 0, 5, 0, 0, 0, 0, 0], [0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2], [0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0], [2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0], [0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0], [0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2], [2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0], [2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0], [0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2], [0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2], [2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0], [2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0], [0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2], [0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0], [2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2], [0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2]] -> [[0, 3, 0, 0, 3, 0, 0, 3, 0, 3, 0, 3, 0, 0, 3], [0, 0, 3, 3, 0, 3, 3, 3, 0, 3, 0, 3, 0, 0, 0], [3, 0, 3, 3, 3, 3, 0, 0, 3, 0, 3, 3, 3, 3, 3], [3, 3, 0, 3, 3, 3, 3, 0, 3, 0, 0, 3, 0, 3, 0], [3, 0, 3, 0, 3, 3, 3, 0, 0, 3, 3, 3, 0, 3, 0], [3, 3, 0, 3, 0, 0, 0, 0, 0, 3, 0, 3, 0, 0, 0], [3, 3, 3, 0, 3, 3, 0, 3, 3, 0, 3, 0, 0, 0, 0], [0, 3, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 0, 3, 3, 0, 0, 3, 3, 3, 0, 0, 3, 0, 0], [3, 0, 0, 0, 3, 0, 0, 3, 3, 3, 3, 0, 3, 0, 0], [3, 3, 0, 3, 0, 0, 0, 0, 0, 0, 0, 3, 0, 3, 0], [0, 3, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3], [0, 0, 0, 0, 0, 3, 0, 3, 3, 3, 0, 0, 0, 0, 0], [3, 3, 0, 3, 0, 0, 3, 3, 3, 0, 0, 3, 0, 3, 3], [0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 3, 3, 0, 3, 3]]\nExample input-output arrays:\n[[1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1], [1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1], [1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1], [0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1], [1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0], [1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0], [1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1], [0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0], [1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1], [1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1], [0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0], [1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0], [1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1], [1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0], [1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0], [5, 5, 5, 5, 5, 0, 5, 0, 0, 0, 0, 5, 5, 0, 5], [0, 5, 5, 0, 5, 0, 5, 0, 0, 5, 0, 5, 5, 5, 5], [5, 0, 0, 0, 5, 5, 5, 0, 0, 5, 5, 5, 0, 0, 5], [0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 5, 5, 0, 0, 0], [0, 0, 5, 5, 5, 5, 0, 0, 5, 5, 5, 5, 0, 0, 5], [5, 0, 5, 5, 5, 5, 5, 0, 0, 5, 5, 5, 0, 0, 5], [5, 5, 0, 0, 5, 5, 0, 5, 0, 5, 0, 5, 5, 5, 0], [5, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 5, 0, 0, 5], [5, 5, 0, 0, 0, 0, 0, 5, 5, 5, 5, 5, 0, 0, 0], [0, 5, 0, 5, 0, 0, 0, 5, 0, 0, 0, 5, 5, 5, 5], [5, 5, 5, 5, 5, 0, 0, 5, 5, 5, 0, 5, 5, 5, 0], [0, 0, 5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 5, 0, 0], [0, 5, 5, 0, 0, 5, 5, 0, 0, 5, 0, 0, 0, 0, 0], [5, 0, 5, 5, 5, 0, 0, 5, 0, 0, 5, 5, 5, 0, 0], [0, 0, 0, 5, 0, 5, 5, 5, 0, 5, 5, 5, 5, 5, 0], [0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2], [2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0], [2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0], [2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0], [0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2], [2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0], [2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2], [0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0], [2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2], [2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0], [0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2], [2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2], [2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0], [2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2], [0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2]] -> [[3, 3, 0, 3, 0, 3, 0, 3, 3, 0, 0, 3, 0, 3, 0], [3, 0, 3, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 3], [0, 3, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 3, 0, 3], [3, 0, 0, 3, 3, 0, 0, 3, 0, 0, 0, 0, 3, 0, 0], [0, 0, 3, 0, 3, 0, 3, 3, 0, 3, 0, 0, 3, 3, 3], [0, 3, 3, 0, 0, 3, 3, 0, 3, 0, 0, 0, 3, 3, 0], [0, 0, 3, 3, 3, 3, 3, 0, 3, 0, 0, 3, 3, 3, 3], [0, 0, 0, 3, 0, 3, 3, 3, 3, 0, 3, 3, 3, 0, 0], [0, 3, 0, 3, 0, 3, 0, 0, 3, 0, 3, 3, 3, 3, 3], [3, 0, 3, 3, 0, 3, 0, 3, 0, 3, 0, 3, 3, 0, 3], [0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3, 0, 0, 0, 3], [3, 0, 3, 3, 0, 3, 0, 3, 3, 3, 3, 3, 0, 0, 0], [0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 0, 0, 0, 3, 3], [0, 0, 3, 0, 0, 3, 3, 3, 3, 0, 0, 3, 3, 3, 3]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0], [1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1], [0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0], [1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0], [0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1], [1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1], [1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1], [0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1], [0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0], [0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1], [0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0], [0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1], [0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0], [0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0], [0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0], [0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 5, 0, 5, 5], [0, 0, 5, 5, 0, 0, 5, 0, 0, 5, 5, 0, 5, 0, 5], [5, 5, 0, 0, 5, 5, 5, 0, 5, 0, 0, 0, 0, 0, 0], [0, 0, 5, 5, 5, 5, 0, 5, 5, 5, 5, 5, 0, 5, 0], [5, 5, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5], [0, 5, 5, 5, 0, 0, 5, 5, 0, 5, 0, 5, 0, 0, 0], [5, 0, 5, 5, 0, 5, 5, 5, 0, 0, 0, 0, 5, 0, 5], [5, 0, 0, 0, 0, 0, 0, 5, 0, 5, 5, 5, 0, 5, 5], [0, 5, 0, 0, 5, 0, 5, 5, 5, 5, 0, 5, 0, 0, 0], [5, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 5, 5], [5, 5, 0, 0, 5, 5, 0, 0, 0, 5, 5, 0, 0, 5, 5], [5, 5, 0, 5, 0, 5, 5, 5, 5, 5, 5, 5, 0, 5, 0], [0, 5, 5, 0, 5, 5, 0, 0, 0, 5, 0, 5, 0, 5, 5], [5, 0, 0, 0, 5, 5, 0, 5, 5, 5, 5, 5, 0, 0, 0], [5, 5, 0, 5, 0, 5, 5, 5, 0, 0, 5, 0, 5, 0, 0], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]] -> ",
+                "test": {
+                    "input": [
+                        [
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+                    ],
+                    "output": [
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+                        [
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+                    ]
+                }
+            },
+            "Replicate 1": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1], [1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0], [1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0], [0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1], [1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1], [0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0], [0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1], [0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1], [1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1], [1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0], [0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1], [1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1], [1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1], [0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1], [0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1], [5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0], [0, 0, 5, 5, 5, 5, 5, 5, 0, 5, 5, 5, 5, 0, 5], [0, 0, 5, 0, 5, 5, 0, 0, 5, 0, 5, 5, 5, 5, 5], [0, 0, 0, 5, 5, 5, 5, 0, 5, 0, 5, 0, 0, 0, 5], [5, 5, 0, 5, 5, 0, 0, 0, 0, 5, 5, 0, 5, 5, 0], [5, 0, 0, 0, 0, 5, 0, 5, 5, 5, 0, 0, 5, 5, 5], [5, 0, 0, 5, 5, 0, 5, 0, 5, 5, 0, 0, 0, 5, 0], [0, 5, 5, 0, 5, 5, 5, 5, 0, 0, 5, 0, 0, 5, 0], [0, 0, 5, 0, 5, 0, 5, 0, 5, 5, 5, 5, 5, 0, 0], [0, 5, 0, 5, 5, 0, 5, 0, 5, 5, 0, 5, 5, 5, 0], [0, 5, 5, 5, 5, 5, 0, 0, 0, 5, 5, 0, 0, 5, 0], [5, 5, 5, 5, 0, 5, 5, 0, 0, 5, 0, 0, 5, 5, 5], [0, 5, 0, 5, 5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 0], [5, 5, 0, 0, 0, 0, 5, 0, 0, 5, 0, 5, 5, 5, 0], [5, 0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0], [2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2], [0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0], [0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2], [2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2], [0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2], [0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2], [0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0], [0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2], [0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2], [0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2], [2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0], [0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0], [2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2]] -> [[3, 3, 0, 3, 3, 3, 0, 0, 3, 0, 3, 0, 0, 3, 3], [0, 3, 3, 3, 3, 0, 3, 0, 0, 0, 3, 3, 0, 3, 0], [0, 0, 0, 3, 0, 3, 0, 3, 3, 3, 0, 3, 3, 3, 3], [3, 3, 3, 3, 3, 0, 3, 3, 0, 3, 0, 3, 3, 0, 0], [0, 0, 3, 3, 0, 0, 0, 0, 3, 0, 3, 3, 3, 0, 3], [0, 0, 3, 0, 0, 0, 3, 3, 3, 3, 3, 0, 3, 3, 3], [0, 0, 0, 3, 3, 3, 0, 3, 3, 0, 0, 0, 3, 3, 3], [0, 3, 0, 3, 3, 3, 3, 0, 0, 3, 3, 0, 3, 3, 0], [0, 3, 3, 3, 0, 0, 0, 0, 3, 3, 0, 3, 0, 3, 3], [0, 0, 3, 0, 3, 3, 0, 3, 3, 0, 3, 0, 0, 3, 3], [0, 0, 3, 0, 3, 0, 3, 0, 0, 3, 0, 0, 0, 3, 0], [3, 0, 0, 0, 3, 0, 3, 0, 0, 0, 0, 3, 0, 0, 0], [3, 3, 0, 3, 3, 0, 0, 3, 0, 3, 3, 3, 3, 3, 0], [0, 3, 3, 0, 0, 3, 3, 0, 3, 3, 0, 3, 3, 3, 0], [3, 3, 0, 0, 3, 3, 0, 0, 0, 3, 0, 0, 0, 3, 3]]\nExample input-output arrays:\n[[0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0], [1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0], [1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0], [1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0], [0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0], [1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1], [1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0], [1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0], [1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0], [0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0], [0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0], [0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1], [0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1], [1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0], [0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1], [5, 5, 5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 0, 5, 0], [0, 5, 0, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 5, 5], [0, 5, 0, 5, 0, 0, 5, 0, 0, 0, 0, 5, 5, 0, 5], [0, 5, 5, 0, 5, 5, 0, 0, 5, 0, 5, 5, 0, 0, 5], [5, 0, 0, 5, 0, 5, 5, 5, 5, 5, 0, 5, 5, 0, 0], [5, 5, 5, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0], [0, 0, 0, 5, 0, 5, 0, 0, 0, 5, 0, 0, 0, 5, 5], [0, 5, 0, 0, 5, 0, 5, 5, 5, 0, 0, 5, 0, 0, 5], [5, 5, 5, 5, 0, 0, 5, 5, 0, 5, 5, 0, 0, 0, 0], [0, 5, 5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 5, 0, 5], [5, 0, 0, 5, 0, 0, 0, 5, 5, 5, 0, 0, 5, 0, 0], [5, 0, 5, 0, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 5], [0, 5, 0, 0, 5, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0], [5, 5, 5, 0, 5, 0, 0, 0, 0, 5, 0, 5, 5, 0, 0], [5, 5, 0, 5, 0, 0, 5, 0, 5, 5, 0, 0, 5, 0, 5], [0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0], [2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0], [0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2], [2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2], [2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0], [0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0], [0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2], [2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0], [2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2], [2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0], [2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0], [2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2], [0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0], [0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0]] -> [[0, 0, 3, 0, 3, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0], [3, 0, 0, 3, 0, 3, 3, 0, 3, 0, 3, 0, 3, 3, 0], [0, 3, 3, 0, 3, 0, 0, 0, 3, 0, 0, 3, 3, 0, 3], [3, 3, 0, 0, 3, 0, 0, 0, 0, 3, 0, 0, 0, 0, 3], [3, 0, 0, 3, 0, 3, 0, 0, 3, 3, 0, 3, 0, 3, 0], [3, 0, 0, 0, 0, 3, 0, 3, 0, 0, 0, 3, 3, 0, 0], [0, 3, 3, 3, 3, 3, 0, 0, 0, 3, 3, 3, 3, 0, 3], [3, 3, 3, 3, 3, 3, 0, 0, 3, 0, 0, 3, 3, 3, 0], [0, 0, 3, 0, 3, 0, 0, 3, 0, 3, 0, 0, 0, 3, 3], [3, 0, 0, 0, 0, 0, 3, 3, 0, 3, 3, 3, 3, 3, 0], [3, 3, 0, 3, 0, 0, 3, 0, 0, 3, 3, 0, 3, 3, 0], [3, 3, 3, 3, 3, 0, 3, 3, 0, 0, 3, 0, 0, 0, 3], [3, 3, 3, 0, 3, 3, 0, 0, 3, 3, 3, 0, 3, 3, 3], [3, 3, 0, 3, 3, 3, 3, 3, 3, 0, 0, 0, 3, 0, 0], [0, 3, 3, 3, 0, 3, 3, 3, 0, 3, 3, 3, 3, 0, 3]]\nExample input-output arrays:\n[[0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1], [1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0], [1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0], [0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1], [1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1], [0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0], [0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1], [0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1], [1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1], [1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0], [0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1], [1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1], [1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1], [0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1], [0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1], [5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0], [0, 0, 5, 5, 5, 5, 5, 5, 0, 5, 5, 5, 5, 0, 5], [0, 0, 5, 0, 5, 5, 0, 0, 5, 0, 5, 5, 5, 5, 5], [0, 0, 0, 5, 5, 5, 5, 0, 5, 0, 5, 0, 0, 0, 5], [5, 5, 0, 5, 5, 0, 0, 0, 0, 5, 5, 0, 5, 5, 0], [5, 0, 0, 0, 0, 5, 0, 5, 5, 5, 0, 0, 5, 5, 5], [5, 0, 0, 5, 5, 0, 5, 0, 5, 5, 0, 0, 0, 5, 0], [0, 5, 5, 0, 5, 5, 5, 5, 0, 0, 5, 0, 0, 5, 0], [0, 0, 5, 0, 5, 0, 5, 0, 5, 5, 5, 5, 5, 0, 0], [0, 5, 0, 5, 5, 0, 5, 0, 5, 5, 0, 5, 5, 5, 0], [0, 5, 5, 5, 5, 5, 0, 0, 0, 5, 5, 0, 0, 5, 0], [5, 5, 5, 5, 0, 5, 5, 0, 0, 5, 0, 0, 5, 5, 5], [0, 5, 0, 5, 5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 0], [5, 5, 0, 0, 0, 0, 5, 0, 0, 5, 0, 5, 5, 5, 0], [5, 0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0], [2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2], [0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0], [0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2], [2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2], [0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2], [0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2], [0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0], [0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2], [0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2], [0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2], [2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0], [0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0], [2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2]] -> [[3, 3, 0, 3, 3, 3, 0, 0, 3, 0, 3, 0, 0, 3, 3], [0, 3, 3, 3, 3, 0, 3, 0, 0, 0, 3, 3, 0, 3, 0], [0, 0, 0, 3, 0, 3, 0, 3, 3, 3, 0, 3, 3, 3, 3], [3, 3, 3, 3, 3, 0, 3, 3, 0, 3, 0, 3, 3, 0, 0], [0, 0, 3, 3, 0, 0, 0, 0, 3, 0, 3, 3, 3, 0, 3], [0, 0, 3, 0, 0, 0, 3, 3, 3, 3, 3, 0, 3, 3, 3], [0, 0, 0, 3, 3, 3, 0, 3, 3, 0, 0, 0, 3, 3, 3], [0, 3, 0, 3, 3, 3, 3, 0, 0, 3, 3, 0, 3, 3, 0], [0, 3, 3, 3, 0, 0, 0, 0, 3, 3, 0, 3, 0, 3, 3], [0, 0, 3, 0, 3, 3, 0, 3, 3, 0, 3, 0, 0, 3, 3], [0, 0, 3, 0, 3, 0, 3, 0, 0, 3, 0, 0, 0, 3, 0], [3, 0, 0, 0, 3, 0, 3, 0, 0, 0, 0, 3, 0, 0, 0], [3, 3, 0, 3, 3, 0, 0, 3, 0, 3, 3, 3, 3, 3, 0], [0, 3, 3, 0, 0, 3, 3, 0, 3, 3, 0, 3, 3, 3, 0], [3, 3, 0, 0, 3, 3, 0, 0, 0, 3, 0, 0, 0, 3, 3]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1], [0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0], [1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0], [1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0], [0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1], [0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1], [0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1], [1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0], [0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0], [0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1], [0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1], [1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0], [1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0], [0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0], [1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1], [0, 0, 0, 5, 5, 0, 5, 0, 0, 0, 0, 5, 5, 0, 5], [5, 0, 5, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 5, 0], [5, 0, 0, 5, 5, 5, 5, 0, 5, 5, 0, 0, 5, 5, 0], [0, 0, 0, 0, 0, 5, 5, 5, 5, 0, 0, 5, 5, 5, 0], [5, 5, 5, 5, 5, 5, 5, 0, 0, 5, 0, 5, 5, 5, 0], [5, 5, 5, 0, 0, 5, 5, 5, 5, 5, 5, 0, 5, 0, 0], [0, 0, 5, 5, 5, 0, 0, 5, 5, 0, 5, 5, 5, 5, 5], [5, 5, 0, 0, 5, 5, 0, 0, 5, 0, 5, 0, 0, 0, 0], [0, 5, 5, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0], [5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 5, 0, 5, 5, 0], [5, 5, 0, 0, 5, 0, 5, 5, 0, 5, 0, 5, 0, 5, 0], [0, 5, 0, 0, 0, 5, 0, 5, 5, 5, 0, 0, 5, 5, 0], [5, 5, 0, 5, 5, 5, 5, 0, 0, 5, 5, 5, 5, 0, 5], [0, 5, 5, 0, 0, 0, 5, 0, 5, 5, 0, 5, 5, 0, 0], [0, 0, 0, 0, 5, 5, 5, 0, 0, 5, 0, 0, 5, 0, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            1,
+                            1,
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+                            1,
+                            1,
+                            0,
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+                        ],
+                        [
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+                            0,
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+                        ],
+                        [
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+                            1,
+                            0,
+                            1,
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+                            1,
+                            1,
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+                        ],
+                        [
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+                        [
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+                        ],
+                        [
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+                            1,
+                            1,
+                            1,
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+                            1,
+                            0,
+                            0,
+                            1,
+                            1
+                        ],
+                        [
+                            0,
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+                            0,
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+                            1
+                        ],
+                        [
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+                            0,
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+                            0
+                        ],
+                        [
+                            0,
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+                            1,
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+                        ],
+                        [
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+                            0,
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+                        ],
+                        [
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+                            1,
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+                        ],
+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                            0,
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+                        [
+                            5,
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+                        [
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+                        [
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+                            0,
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+                        [
+                            5,
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+                            5,
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+                        [
+                            5,
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+                            0,
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+                            5,
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+                    ],
+                    "output": [
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+                    ]
+                }
+            },
+            "Replicate 2": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0], [1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0], [1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0], [1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0], [0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0], [1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1], [1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0], [1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0], [1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0], [0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0], [0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0], [0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1], [0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1], [1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0], [0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1], [5, 5, 5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 0, 5, 0], [0, 5, 0, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 5, 5], [0, 5, 0, 5, 0, 0, 5, 0, 0, 0, 0, 5, 5, 0, 5], [0, 5, 5, 0, 5, 5, 0, 0, 5, 0, 5, 5, 0, 0, 5], [5, 0, 0, 5, 0, 5, 5, 5, 5, 5, 0, 5, 5, 0, 0], [5, 5, 5, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0], [0, 0, 0, 5, 0, 5, 0, 0, 0, 5, 0, 0, 0, 5, 5], [0, 5, 0, 0, 5, 0, 5, 5, 5, 0, 0, 5, 0, 0, 5], [5, 5, 5, 5, 0, 0, 5, 5, 0, 5, 5, 0, 0, 0, 0], [0, 5, 5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 5, 0, 5], [5, 0, 0, 5, 0, 0, 0, 5, 5, 5, 0, 0, 5, 0, 0], [5, 0, 5, 0, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 5], [0, 5, 0, 0, 5, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0], [5, 5, 5, 0, 5, 0, 0, 0, 0, 5, 0, 5, 5, 0, 0], [5, 5, 0, 5, 0, 0, 5, 0, 5, 5, 0, 0, 5, 0, 5], [0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0], [2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0], [0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2], [2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2], [2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0], [0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0], [0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2], [2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0], [2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2], [2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0], [2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0], [2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2], [0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0], [0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0]] -> [[0, 0, 3, 0, 3, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0], [3, 0, 0, 3, 0, 3, 3, 0, 3, 0, 3, 0, 3, 3, 0], [0, 3, 3, 0, 3, 0, 0, 0, 3, 0, 0, 3, 3, 0, 3], [3, 3, 0, 0, 3, 0, 0, 0, 0, 3, 0, 0, 0, 0, 3], [3, 0, 0, 3, 0, 3, 0, 0, 3, 3, 0, 3, 0, 3, 0], [3, 0, 0, 0, 0, 3, 0, 3, 0, 0, 0, 3, 3, 0, 0], [0, 3, 3, 3, 3, 3, 0, 0, 0, 3, 3, 3, 3, 0, 3], [3, 3, 3, 3, 3, 3, 0, 0, 3, 0, 0, 3, 3, 3, 0], [0, 0, 3, 0, 3, 0, 0, 3, 0, 3, 0, 0, 0, 3, 3], [3, 0, 0, 0, 0, 0, 3, 3, 0, 3, 3, 3, 3, 3, 0], [3, 3, 0, 3, 0, 0, 3, 0, 0, 3, 3, 0, 3, 3, 0], [3, 3, 3, 3, 3, 0, 3, 3, 0, 0, 3, 0, 0, 0, 3], [3, 3, 3, 0, 3, 3, 0, 0, 3, 3, 3, 0, 3, 3, 3], [3, 3, 0, 3, 3, 3, 3, 3, 3, 0, 0, 0, 3, 0, 0], [0, 3, 3, 3, 0, 3, 3, 3, 0, 3, 3, 3, 3, 0, 3]]\nExample input-output arrays:\n[[0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0], [1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0], [1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0], [1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0], [0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0], [1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1], [1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0], [1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0], [1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0], [0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0], [0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0], [0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1], [0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1], [1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0], [0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1], [5, 5, 5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 0, 5, 0], [0, 5, 0, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 5, 5], [0, 5, 0, 5, 0, 0, 5, 0, 0, 0, 0, 5, 5, 0, 5], [0, 5, 5, 0, 5, 5, 0, 0, 5, 0, 5, 5, 0, 0, 5], [5, 0, 0, 5, 0, 5, 5, 5, 5, 5, 0, 5, 5, 0, 0], [5, 5, 5, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0], [0, 0, 0, 5, 0, 5, 0, 0, 0, 5, 0, 0, 0, 5, 5], [0, 5, 0, 0, 5, 0, 5, 5, 5, 0, 0, 5, 0, 0, 5], [5, 5, 5, 5, 0, 0, 5, 5, 0, 5, 5, 0, 0, 0, 0], [0, 5, 5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 5, 0, 5], [5, 0, 0, 5, 0, 0, 0, 5, 5, 5, 0, 0, 5, 0, 0], [5, 0, 5, 0, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 5], [0, 5, 0, 0, 5, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0], [5, 5, 5, 0, 5, 0, 0, 0, 0, 5, 0, 5, 5, 0, 0], [5, 5, 0, 5, 0, 0, 5, 0, 5, 5, 0, 0, 5, 0, 5], [0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0], [2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0], [0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2], [2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2], [2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0], [0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0], [0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2], [2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0], [2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2], [2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0], [2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0], [2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2], [0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0], [0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0]] -> [[0, 0, 3, 0, 3, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0], [3, 0, 0, 3, 0, 3, 3, 0, 3, 0, 3, 0, 3, 3, 0], [0, 3, 3, 0, 3, 0, 0, 0, 3, 0, 0, 3, 3, 0, 3], [3, 3, 0, 0, 3, 0, 0, 0, 0, 3, 0, 0, 0, 0, 3], [3, 0, 0, 3, 0, 3, 0, 0, 3, 3, 0, 3, 0, 3, 0], [3, 0, 0, 0, 0, 3, 0, 3, 0, 0, 0, 3, 3, 0, 0], [0, 3, 3, 3, 3, 3, 0, 0, 0, 3, 3, 3, 3, 0, 3], [3, 3, 3, 3, 3, 3, 0, 0, 3, 0, 0, 3, 3, 3, 0], [0, 0, 3, 0, 3, 0, 0, 3, 0, 3, 0, 0, 0, 3, 3], [3, 0, 0, 0, 0, 0, 3, 3, 0, 3, 3, 3, 3, 3, 0], [3, 3, 0, 3, 0, 0, 3, 0, 0, 3, 3, 0, 3, 3, 0], [3, 3, 3, 3, 3, 0, 3, 3, 0, 0, 3, 0, 0, 0, 3], [3, 3, 3, 0, 3, 3, 0, 0, 3, 3, 3, 0, 3, 3, 3], [3, 3, 0, 3, 3, 3, 3, 3, 3, 0, 0, 0, 3, 0, 0], [0, 3, 3, 3, 0, 3, 3, 3, 0, 3, 3, 3, 3, 0, 3]]\nExample input-output arrays:\n[[1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1], [0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1], [0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1], [1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1], [1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1], [0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0], [1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1], [1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1], [1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1], [0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1], [1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0], [0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0], [1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 5, 5, 5, 5, 0, 5, 5, 0], [0, 5, 0, 5, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 0], [5, 0, 5, 5, 5, 5, 5, 5, 5, 0, 0, 5, 0, 5, 5], [5, 0, 5, 5, 0, 5, 5, 5, 5, 0, 0, 5, 5, 5, 0], [5, 5, 5, 0, 0, 5, 5, 0, 0, 0, 0, 5, 0, 5, 5], [0, 5, 0, 5, 5, 5, 0, 5, 0, 0, 5, 5, 0, 0, 0], [0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 5, 0], [0, 0, 0, 5, 0, 0, 5, 5, 5, 0, 5, 0, 0, 5, 0], [5, 0, 5, 5, 5, 0, 0, 0, 0, 0, 5, 5, 5, 0, 5], [0, 5, 0, 0, 0, 5, 0, 5, 5, 5, 5, 0, 5, 5, 0], [0, 5, 0, 5, 0, 0, 0, 5, 0, 0, 0, 5, 5, 0, 5], [5, 5, 0, 5, 0, 0, 5, 5, 5, 5, 0, 5, 0, 0, 0], [0, 5, 0, 0, 5, 0, 5, 5, 5, 0, 0, 5, 0, 5, 0], [5, 0, 5, 0, 0, 0, 0, 0, 5, 5, 0, 5, 5, 0, 5], [0, 0, 5, 5, 5, 5, 0, 5, 0, 5, 0, 0, 0, 0, 0], [0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2], [0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0], [2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0], [0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0], [0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2], [2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0], [2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0], [0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2], [0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2], [2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0], [2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0], [0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2], [0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0], [2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2], [0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2]] -> [[0, 3, 0, 0, 3, 0, 0, 3, 0, 3, 0, 3, 0, 0, 3], [0, 0, 3, 3, 0, 3, 3, 3, 0, 3, 0, 3, 0, 0, 0], [3, 0, 3, 3, 3, 3, 0, 0, 3, 0, 3, 3, 3, 3, 3], [3, 3, 0, 3, 3, 3, 3, 0, 3, 0, 0, 3, 0, 3, 0], [3, 0, 3, 0, 3, 3, 3, 0, 0, 3, 3, 3, 0, 3, 0], [3, 3, 0, 3, 0, 0, 0, 0, 0, 3, 0, 3, 0, 0, 0], [3, 3, 3, 0, 3, 3, 0, 3, 3, 0, 3, 0, 0, 0, 0], [0, 3, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 0, 3, 3, 0, 0, 3, 3, 3, 0, 0, 3, 0, 0], [3, 0, 0, 0, 3, 0, 0, 3, 3, 3, 3, 0, 3, 0, 0], [3, 3, 0, 3, 0, 0, 0, 0, 0, 0, 0, 3, 0, 3, 0], [0, 3, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3], [0, 0, 0, 0, 0, 3, 0, 3, 3, 3, 0, 0, 0, 0, 0], [3, 3, 0, 3, 0, 0, 3, 3, 3, 0, 0, 3, 0, 3, 3], [0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 3, 3, 0, 3, 3]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1], [0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1], [0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1], [1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1], [1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1], [0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0], [1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1], [1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1], [1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1], [0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1], [1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0], [0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0], [1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 6, 0, 0, 6, 6, 6, 6, 0, 6, 6, 0], [0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 6, 0, 6, 0, 0], [6, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 6, 0, 6, 6], [6, 0, 6, 6, 0, 6, 6, 6, 6, 0, 0, 6, 6, 6, 0], [6, 6, 6, 0, 0, 6, 6, 0, 0, 0, 0, 6, 0, 6, 6], [0, 6, 0, 6, 6, 6, 0, 6, 0, 0, 6, 6, 0, 0, 0], [0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 6, 0], [0, 0, 0, 6, 0, 0, 6, 6, 6, 0, 6, 0, 0, 6, 0], [6, 0, 6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 6, 0, 6], [0, 6, 0, 0, 0, 6, 0, 6, 6, 6, 6, 0, 6, 6, 0], [0, 6, 0, 6, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 6], [6, 6, 0, 6, 0, 0, 6, 6, 6, 6, 0, 6, 0, 0, 0], [0, 6, 0, 0, 6, 0, 6, 6, 6, 0, 0, 6, 0, 6, 0], [6, 0, 6, 0, 0, 0, 0, 0, 6, 6, 0, 6, 6, 0, 6], [0, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0], [0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2], [0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0], [2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0], [0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0], [0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2], [2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0], [2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0], [0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2], [0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2], [2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0], [2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0], [0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2], [0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0], [2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2], [0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            1,
+                            1,
+                            0,
+                            1,
+                            0,
+                            0,
+                            0,
+                            1,
+                            0,
+                            0,
+                            1,
+                            0,
+                            1,
+                            1,
+                            1
+                        ],
+                        [
+                            0,
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+                            1,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            1,
+                            1,
+                            1,
+                            0,
+                            1
+                        ],
+                        [
+                            0,
+                            0,
+                            1,
+                            0,
+                            0,
+                            0,
+                            1,
+                            0,
+                            1,
+                            1,
+                            0,
+                            1,
+                            1,
+                            0,
+                            1
+                        ],
+                        [
+                            1,
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+                            0,
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+                            1,
+                            1,
+                            1,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
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+                            1,
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+                            1,
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+                            0,
+                            1,
+                            0,
+                            0,
+                            1
+                        ],
+                        [
+                            1,
+                            1,
+                            1,
+                            1,
+                            0,
+                            0,
+                            1,
+                            1,
+                            1,
+                            0,
+                            0,
+                            0,
+                            1,
+                            1,
+                            1
+                        ],
+                        [
+                            0,
+                            1,
+                            1,
+                            1,
+                            1,
+                            0,
+                            1,
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+                            0,
+                            1,
+                            1,
+                            1,
+                            1,
+                            0,
+                            0
+                        ],
+                        [
+                            1,
+                            0,
+                            0,
+                            0,
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+                            0,
+                            1,
+                            0,
+                            0,
+                            0,
+                            0,
+                            1,
+                            1,
+                            0,
+                            1
+                        ],
+                        [
+                            1,
+                            1,
+                            0,
+                            1,
+                            1,
+                            1,
+                            0,
+                            0,
+                            1,
+                            1,
+                            0,
+                            1,
+                            0,
+                            0,
+                            1
+                        ],
+                        [
+                            1,
+                            0,
+                            1,
+                            1,
+                            1,
+                            0,
+                            0,
+                            1,
+                            0,
+                            1,
+                            0,
+                            0,
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+                            1
+                        ],
+                        [
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+                            0,
+                            1,
+                            1,
+                            0,
+                            0,
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+                            0,
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+                            1,
+                            0
+                        ],
+                        [
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+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
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+                            0,
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+                            0,
+                            1,
+                            1
+                        ],
+                        [
+                            1,
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+                            0,
+                            1,
+                            0,
+                            1,
+                            1,
+                            0,
+                            1,
+                            0,
+                            0,
+                            1,
+                            1,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
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+                            1,
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+                        ],
+                        [
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+                            1,
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+                            1,
+                            1,
+                            0,
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+                            0,
+                            0,
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+                        ],
+                        [
+                            0,
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+                            0,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
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+                        ],
+                        [
+                            0,
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+                            0,
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+                        ],
+                        [
+                            6,
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+                            6,
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+                        ],
+                        [
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+                            0,
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+                        ],
+                        [
+                            6,
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+                            0,
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+                        ],
+                        [
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+                        [
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+                            0,
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+                        [
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+                            6,
+                            6,
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+                        ],
+                        [
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+                            0,
+                            0,
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+                        ],
+                        [
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+                            0,
+                            0,
+                            6,
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+                            6,
+                            6,
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+                            0
+                        ],
+                        [
+                            0,
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+                            0,
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+                            0,
+                            6,
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+                            6
+                        ],
+                        [
+                            6,
+                            6,
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+                            6,
+                            0,
+                            0,
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+                    ],
+                    "output": [
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+                        [
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+                    ]
+                }
+            },
+            "Replicate 3": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1], [0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1], [0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1], [1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1], [1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1], [0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0], [1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1], [1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1], [1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1], [0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1], [1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0], [0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0], [1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 5, 5, 5, 5, 0, 5, 5, 0], [0, 5, 0, 5, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 0], [5, 0, 5, 5, 5, 5, 5, 5, 5, 0, 0, 5, 0, 5, 5], [5, 0, 5, 5, 0, 5, 5, 5, 5, 0, 0, 5, 5, 5, 0], [5, 5, 5, 0, 0, 5, 5, 0, 0, 0, 0, 5, 0, 5, 5], [0, 5, 0, 5, 5, 5, 0, 5, 0, 0, 5, 5, 0, 0, 0], [0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 5, 0], [0, 0, 0, 5, 0, 0, 5, 5, 5, 0, 5, 0, 0, 5, 0], [5, 0, 5, 5, 5, 0, 0, 0, 0, 0, 5, 5, 5, 0, 5], [0, 5, 0, 0, 0, 5, 0, 5, 5, 5, 5, 0, 5, 5, 0], [0, 5, 0, 5, 0, 0, 0, 5, 0, 0, 0, 5, 5, 0, 5], [5, 5, 0, 5, 0, 0, 5, 5, 5, 5, 0, 5, 0, 0, 0], [0, 5, 0, 0, 5, 0, 5, 5, 5, 0, 0, 5, 0, 5, 0], [5, 0, 5, 0, 0, 0, 0, 0, 5, 5, 0, 5, 5, 0, 5], [0, 0, 5, 5, 5, 5, 0, 5, 0, 5, 0, 0, 0, 0, 0], [0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2], [0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0], [2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0], [0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0], [0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2], [2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0], [2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0], [0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2], [0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2], [2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0], [2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0], [0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2], [0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0], [2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2], [0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2]] -> [[0, 3, 0, 0, 3, 0, 0, 3, 0, 3, 0, 3, 0, 0, 3], [0, 0, 3, 3, 0, 3, 3, 3, 0, 3, 0, 3, 0, 0, 0], [3, 0, 3, 3, 3, 3, 0, 0, 3, 0, 3, 3, 3, 3, 3], [3, 3, 0, 3, 3, 3, 3, 0, 3, 0, 0, 3, 0, 3, 0], [3, 0, 3, 0, 3, 3, 3, 0, 0, 3, 3, 3, 0, 3, 0], [3, 3, 0, 3, 0, 0, 0, 0, 0, 3, 0, 3, 0, 0, 0], [3, 3, 3, 0, 3, 3, 0, 3, 3, 0, 3, 0, 0, 0, 0], [0, 3, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 0, 3, 3, 0, 0, 3, 3, 3, 0, 0, 3, 0, 0], [3, 0, 0, 0, 3, 0, 0, 3, 3, 3, 3, 0, 3, 0, 0], [3, 3, 0, 3, 0, 0, 0, 0, 0, 0, 0, 3, 0, 3, 0], [0, 3, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3], [0, 0, 0, 0, 0, 3, 0, 3, 3, 3, 0, 0, 0, 0, 0], [3, 3, 0, 3, 0, 0, 3, 3, 3, 0, 0, 3, 0, 3, 3], [0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 3, 3, 0, 3, 3]]\nExample input-output arrays:\n[[1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1], [1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1], [1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1], [0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1], [1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0], [1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0], [1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1], [0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0], [1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1], [1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1], [0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0], [1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0], [1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1], [1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0], [1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0], [5, 5, 5, 5, 5, 0, 5, 0, 0, 0, 0, 5, 5, 0, 5], [0, 5, 5, 0, 5, 0, 5, 0, 0, 5, 0, 5, 5, 5, 5], [5, 0, 0, 0, 5, 5, 5, 0, 0, 5, 5, 5, 0, 0, 5], [0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 5, 5, 0, 0, 0], [0, 0, 5, 5, 5, 5, 0, 0, 5, 5, 5, 5, 0, 0, 5], [5, 0, 5, 5, 5, 5, 5, 0, 0, 5, 5, 5, 0, 0, 5], [5, 5, 0, 0, 5, 5, 0, 5, 0, 5, 0, 5, 5, 5, 0], [5, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 5, 0, 0, 5], [5, 5, 0, 0, 0, 0, 0, 5, 5, 5, 5, 5, 0, 0, 0], [0, 5, 0, 5, 0, 0, 0, 5, 0, 0, 0, 5, 5, 5, 5], [5, 5, 5, 5, 5, 0, 0, 5, 5, 5, 0, 5, 5, 5, 0], [0, 0, 5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 5, 0, 0], [0, 5, 5, 0, 0, 5, 5, 0, 0, 5, 0, 0, 0, 0, 0], [5, 0, 5, 5, 5, 0, 0, 5, 0, 0, 5, 5, 5, 0, 0], [0, 0, 0, 5, 0, 5, 5, 5, 0, 5, 5, 5, 5, 5, 0], [0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2], [2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0], [2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0], [2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0], [0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2], [2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0], [2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2], [0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0], [2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2], [2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0], [0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2], [2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2], [2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0], [2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2], [0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2]] -> [[3, 3, 0, 3, 0, 3, 0, 3, 3, 0, 0, 3, 0, 3, 0], [3, 0, 3, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 3], [0, 3, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 3, 0, 3], [3, 0, 0, 3, 3, 0, 0, 3, 0, 0, 0, 0, 3, 0, 0], [0, 0, 3, 0, 3, 0, 3, 3, 0, 3, 0, 0, 3, 3, 3], [0, 3, 3, 0, 0, 3, 3, 0, 3, 0, 0, 0, 3, 3, 0], [0, 0, 3, 3, 3, 3, 3, 0, 3, 0, 0, 3, 3, 3, 3], [0, 0, 0, 3, 0, 3, 3, 3, 3, 0, 3, 3, 3, 0, 0], [0, 3, 0, 3, 0, 3, 0, 0, 3, 0, 3, 3, 3, 3, 3], [3, 0, 3, 3, 0, 3, 0, 3, 0, 3, 0, 3, 3, 0, 3], [0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3, 0, 0, 0, 3], [3, 0, 3, 3, 0, 3, 0, 3, 3, 3, 3, 3, 0, 0, 0], [0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 0, 0, 0, 3, 3], [0, 0, 3, 0, 0, 3, 3, 3, 3, 0, 0, 3, 3, 3, 3]]\nExample input-output arrays:\n[[1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0], [1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1], [1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0], [0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1], [1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1], [1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1], [1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1], [0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1], [1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1], [1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1], [0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1], [1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1], [1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1], [5, 0, 0, 0, 0, 0, 5, 0, 5, 5, 0, 0, 5, 5, 0], [5, 0, 0, 5, 0, 5, 0, 0, 5, 0, 0, 0, 5, 5, 0], [0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 5], [5, 0, 5, 0, 0, 5, 5, 5, 0, 0, 5, 5, 0, 0, 0], [0, 0, 5, 0, 5, 0, 5, 5, 0, 5, 5, 0, 0, 0, 0], [5, 5, 5, 5, 5, 5, 5, 5, 0, 0, 5, 5, 5, 0, 5], [0, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0, 5, 0, 0, 0], [5, 0, 5, 0, 0, 0, 0, 5, 0, 5, 5, 5, 5, 5, 5], [0, 5, 0, 0, 0, 5, 5, 0, 5, 5, 0, 0, 5, 0, 0], [5, 0, 0, 5, 0, 0, 5, 0, 0, 5, 0, 5, 0, 5, 0], [0, 5, 5, 0, 0, 0, 0, 0, 5, 5, 0, 5, 0, 0, 5], [0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0], [0, 5, 5, 0, 5, 5, 5, 0, 0, 5, 0, 5, 5, 5, 5], [0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 5, 5, 5, 0], [0, 0, 5, 5, 0, 5, 0, 0, 0, 0, 5, 0, 5, 5, 0], [2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2], [2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0], [2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0], [0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0], [0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0], [2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2], [0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0], [2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0], [0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0], [0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0], [0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0], [2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0], [0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0]] -> [[0, 0, 3, 0, 3, 0, 0, 0, 3, 3, 3, 0, 3, 3, 3], [0, 3, 0, 0, 0, 3, 3, 0, 3, 3, 0, 3, 3, 3, 0], [0, 0, 3, 0, 0, 3, 0, 3, 3, 3, 3, 3, 0, 3, 0], [3, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 3, 3, 3, 0], [0, 0, 3, 3, 0, 3, 3, 3, 3, 0, 0, 3, 0, 3, 0], [3, 3, 0, 3, 3, 3, 3, 3, 0, 0, 3, 3, 0, 3, 3], [3, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 3, 0, 3], [3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 3, 3], [3, 0, 3, 3, 3, 3, 3, 0, 3, 3, 0, 0, 0, 0, 0], [3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 0, 3, 3, 0, 0], [0, 3, 3, 3, 0, 3, 3, 0, 0, 3, 0, 0, 3, 3, 3], [0, 0, 0, 3, 3, 0, 3, 0, 0, 0, 0, 0, 3, 3, 0], [0, 0, 0, 3, 3, 3, 0, 0, 3, 3, 0, 0, 0, 0, 3], [3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0], [0, 3, 0, 0, 3, 3, 0, 3, 0, 3, 0, 3, 3, 3, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0], [1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1], [1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0], [0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1], [1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1], [1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1], [1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1], [0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1], [1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1], [1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1], [0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1], [1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1], [1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1], [9, 0, 0, 0, 0, 0, 9, 0, 9, 9, 0, 0, 9, 9, 0], [9, 0, 0, 9, 0, 9, 0, 0, 9, 0, 0, 0, 9, 9, 0], [0, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 9], [9, 0, 9, 0, 0, 9, 9, 9, 0, 0, 9, 9, 0, 0, 0], [0, 0, 9, 0, 9, 0, 9, 9, 0, 9, 9, 0, 0, 0, 0], [9, 9, 9, 9, 9, 9, 9, 9, 0, 0, 9, 9, 9, 0, 9], [0, 9, 9, 9, 9, 9, 9, 9, 9, 0, 0, 9, 0, 0, 0], [9, 0, 9, 0, 0, 0, 0, 9, 0, 9, 9, 9, 9, 9, 9], [0, 9, 0, 0, 0, 9, 9, 0, 9, 9, 0, 0, 9, 0, 0], [9, 0, 0, 9, 0, 0, 9, 0, 0, 9, 0, 9, 0, 9, 0], [0, 9, 9, 0, 0, 0, 0, 0, 9, 9, 0, 9, 0, 0, 9], [0, 9, 0, 9, 0, 0, 9, 0, 9, 0, 0, 9, 0, 9, 0], [0, 9, 9, 0, 9, 9, 9, 0, 0, 9, 0, 9, 9, 9, 9], [0, 0, 0, 9, 0, 0, 0, 0, 9, 0, 0, 9, 9, 9, 0], [0, 0, 9, 9, 0, 9, 0, 0, 0, 0, 9, 0, 9, 9, 0], [2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2], [2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0], [2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0], [0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0], [0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0], [2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2], [0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0], [2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0], [0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0], [0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0], [0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0], [2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0], [0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                    ],
+                    "output": [
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+                }
+            },
+            "Replicate 4": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0], [1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1], [1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0], [0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1], [1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1], [1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1], [1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1], [0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1], [1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1], [1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1], [0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1], [1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1], [1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1], [5, 0, 0, 0, 0, 0, 5, 0, 5, 5, 0, 0, 5, 5, 0], [5, 0, 0, 5, 0, 5, 0, 0, 5, 0, 0, 0, 5, 5, 0], [0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 5], [5, 0, 5, 0, 0, 5, 5, 5, 0, 0, 5, 5, 0, 0, 0], [0, 0, 5, 0, 5, 0, 5, 5, 0, 5, 5, 0, 0, 0, 0], [5, 5, 5, 5, 5, 5, 5, 5, 0, 0, 5, 5, 5, 0, 5], [0, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0, 5, 0, 0, 0], [5, 0, 5, 0, 0, 0, 0, 5, 0, 5, 5, 5, 5, 5, 5], [0, 5, 0, 0, 0, 5, 5, 0, 5, 5, 0, 0, 5, 0, 0], [5, 0, 0, 5, 0, 0, 5, 0, 0, 5, 0, 5, 0, 5, 0], [0, 5, 5, 0, 0, 0, 0, 0, 5, 5, 0, 5, 0, 0, 5], [0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0], [0, 5, 5, 0, 5, 5, 5, 0, 0, 5, 0, 5, 5, 5, 5], [0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 5, 5, 5, 0], [0, 0, 5, 5, 0, 5, 0, 0, 0, 0, 5, 0, 5, 5, 0], [2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2], [2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0], [2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0], [0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0], [0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0], [2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2], [0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0], [2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0], [0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0], [0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0], [0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0], [2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0], [0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0]] -> [[0, 0, 3, 0, 3, 0, 0, 0, 3, 3, 3, 0, 3, 3, 3], [0, 3, 0, 0, 0, 3, 3, 0, 3, 3, 0, 3, 3, 3, 0], [0, 0, 3, 0, 0, 3, 0, 3, 3, 3, 3, 3, 0, 3, 0], [3, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 3, 3, 3, 0], [0, 0, 3, 3, 0, 3, 3, 3, 3, 0, 0, 3, 0, 3, 0], [3, 3, 0, 3, 3, 3, 3, 3, 0, 0, 3, 3, 0, 3, 3], [3, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 3, 0, 3], [3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 3, 3], [3, 0, 3, 3, 3, 3, 3, 0, 3, 3, 0, 0, 0, 0, 0], [3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 0, 3, 3, 0, 0], [0, 3, 3, 3, 0, 3, 3, 0, 0, 3, 0, 0, 3, 3, 3], [0, 0, 0, 3, 3, 0, 3, 0, 0, 0, 0, 0, 3, 3, 0], [0, 0, 0, 3, 3, 3, 0, 0, 3, 3, 0, 0, 0, 0, 3], [3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0], [0, 3, 0, 0, 3, 3, 0, 3, 0, 3, 0, 3, 3, 3, 0]]\nExample input-output arrays:\n[[1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1], [0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1], [0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1], [1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1], [1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1], [0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0], [1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1], [1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1], [1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1], [0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1], [1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0], [0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0], [1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 5, 5, 5, 5, 0, 5, 5, 0], [0, 5, 0, 5, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 0], [5, 0, 5, 5, 5, 5, 5, 5, 5, 0, 0, 5, 0, 5, 5], [5, 0, 5, 5, 0, 5, 5, 5, 5, 0, 0, 5, 5, 5, 0], [5, 5, 5, 0, 0, 5, 5, 0, 0, 0, 0, 5, 0, 5, 5], [0, 5, 0, 5, 5, 5, 0, 5, 0, 0, 5, 5, 0, 0, 0], [0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 5, 0], [0, 0, 0, 5, 0, 0, 5, 5, 5, 0, 5, 0, 0, 5, 0], [5, 0, 5, 5, 5, 0, 0, 0, 0, 0, 5, 5, 5, 0, 5], [0, 5, 0, 0, 0, 5, 0, 5, 5, 5, 5, 0, 5, 5, 0], [0, 5, 0, 5, 0, 0, 0, 5, 0, 0, 0, 5, 5, 0, 5], [5, 5, 0, 5, 0, 0, 5, 5, 5, 5, 0, 5, 0, 0, 0], [0, 5, 0, 0, 5, 0, 5, 5, 5, 0, 0, 5, 0, 5, 0], [5, 0, 5, 0, 0, 0, 0, 0, 5, 5, 0, 5, 5, 0, 5], [0, 0, 5, 5, 5, 5, 0, 5, 0, 5, 0, 0, 0, 0, 0], [0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2], [0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0], [2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0], [0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0], [0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2], [2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0], [2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0], [0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2], [0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2], [2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0], [2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0], [0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2], [0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0], [2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2], [0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2]] -> [[0, 3, 0, 0, 3, 0, 0, 3, 0, 3, 0, 3, 0, 0, 3], [0, 0, 3, 3, 0, 3, 3, 3, 0, 3, 0, 3, 0, 0, 0], [3, 0, 3, 3, 3, 3, 0, 0, 3, 0, 3, 3, 3, 3, 3], [3, 3, 0, 3, 3, 3, 3, 0, 3, 0, 0, 3, 0, 3, 0], [3, 0, 3, 0, 3, 3, 3, 0, 0, 3, 3, 3, 0, 3, 0], [3, 3, 0, 3, 0, 0, 0, 0, 0, 3, 0, 3, 0, 0, 0], [3, 3, 3, 0, 3, 3, 0, 3, 3, 0, 3, 0, 0, 0, 0], [0, 3, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 0, 3, 3, 0, 0, 3, 3, 3, 0, 0, 3, 0, 0], [3, 0, 0, 0, 3, 0, 0, 3, 3, 3, 3, 0, 3, 0, 0], [3, 3, 0, 3, 0, 0, 0, 0, 0, 0, 0, 3, 0, 3, 0], [0, 3, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3], [0, 0, 0, 0, 0, 3, 0, 3, 3, 3, 0, 0, 0, 0, 0], [3, 3, 0, 3, 0, 0, 3, 3, 3, 0, 0, 3, 0, 3, 3], [0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 3, 3, 0, 3, 3]]\nExample input-output arrays:\n[[1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1], [1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1], [1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1], [0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1], [1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0], [1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0], [1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1], [0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0], [1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1], [1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1], [0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0], [1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0], [1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1], [1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0], [1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0], [5, 5, 5, 5, 5, 0, 5, 0, 0, 0, 0, 5, 5, 0, 5], [0, 5, 5, 0, 5, 0, 5, 0, 0, 5, 0, 5, 5, 5, 5], [5, 0, 0, 0, 5, 5, 5, 0, 0, 5, 5, 5, 0, 0, 5], [0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 5, 5, 0, 0, 0], [0, 0, 5, 5, 5, 5, 0, 0, 5, 5, 5, 5, 0, 0, 5], [5, 0, 5, 5, 5, 5, 5, 0, 0, 5, 5, 5, 0, 0, 5], [5, 5, 0, 0, 5, 5, 0, 5, 0, 5, 0, 5, 5, 5, 0], [5, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 5, 0, 0, 5], [5, 5, 0, 0, 0, 0, 0, 5, 5, 5, 5, 5, 0, 0, 0], [0, 5, 0, 5, 0, 0, 0, 5, 0, 0, 0, 5, 5, 5, 5], [5, 5, 5, 5, 5, 0, 0, 5, 5, 5, 0, 5, 5, 5, 0], [0, 0, 5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 5, 0, 0], [0, 5, 5, 0, 0, 5, 5, 0, 0, 5, 0, 0, 0, 0, 0], [5, 0, 5, 5, 5, 0, 0, 5, 0, 0, 5, 5, 5, 0, 0], [0, 0, 0, 5, 0, 5, 5, 5, 0, 5, 5, 5, 5, 5, 0], [0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2], [2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0], [2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0], [2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0], [0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2], [2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0], [2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2], [0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0], [2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2], [2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0], [0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2], [2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2], [2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0], [2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2], [0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2]] -> [[3, 3, 0, 3, 0, 3, 0, 3, 3, 0, 0, 3, 0, 3, 0], [3, 0, 3, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 3], [0, 3, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 3, 0, 3], [3, 0, 0, 3, 3, 0, 0, 3, 0, 0, 0, 0, 3, 0, 0], [0, 0, 3, 0, 3, 0, 3, 3, 0, 3, 0, 0, 3, 3, 3], [0, 3, 3, 0, 0, 3, 3, 0, 3, 0, 0, 0, 3, 3, 0], [0, 0, 3, 3, 3, 3, 3, 0, 3, 0, 0, 3, 3, 3, 3], [0, 0, 0, 3, 0, 3, 3, 3, 3, 0, 3, 3, 3, 0, 0], [0, 3, 0, 3, 0, 3, 0, 0, 3, 0, 3, 3, 3, 3, 3], [3, 0, 3, 3, 0, 3, 0, 3, 0, 3, 0, 3, 3, 0, 3], [0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3, 0, 0, 0, 3], [3, 0, 3, 3, 0, 3, 0, 3, 3, 3, 3, 3, 0, 0, 0], [0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 0, 0, 0, 3, 3], [0, 0, 3, 0, 0, 3, 3, 3, 3, 0, 0, 3, 3, 3, 3]]\nCounterfactual: Now imagine that we intervened on the previous input by changing the causal function for some elements.\n[[1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1], [1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0], [0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0], [0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1], [0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1], [1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1], [0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0], [1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0], [1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1], [0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1], [0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1], [0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1], [1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1], [0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1], [0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0], [0, 0, 0, 0, 0, 5, 0, 5, 5, 5, 5, 0, 0, 5, 0], [5, 0, 0, 5, 0, 5, 0, 5, 5, 0, 5, 0, 0, 0, 0], [0, 5, 5, 5, 0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 0], [5, 5, 5, 5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 5, 5], [5, 5, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 5, 5, 0], [0, 5, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 0], [0, 0, 5, 5, 0, 0, 5, 0, 5, 0, 5, 0, 0, 0, 5], [0, 5, 5, 5, 0, 5, 5, 5, 5, 0, 5, 0, 5, 5, 0], [0, 0, 5, 5, 5, 5, 5, 0, 0, 0, 0, 0, 5, 5, 5], [5, 0, 5, 0, 5, 5, 5, 0, 5, 5, 5, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 5, 0, 0, 0, 5], [5, 5, 0, 0, 0, 0, 5, 0, 5, 5, 5, 0, 0, 5, 5], [5, 0, 0, 5, 5, 0, 0, 5, 5, 0, 5, 5, 5, 5, 5], [0, 5, 0, 0, 0, 5, 5, 0, 5, 5, 0, 0, 0, 5, 5], [5, 5, 5, 0, 5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5], [2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0], [2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2], [0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2], [0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0], [0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0], [2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2], [2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0], [2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2], [2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2], [0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2], [2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0], [0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2], [0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2], [2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2]] -> ",
+                "test": {
+                    "input": [
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+                        [
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+                        [
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+                    ],
+                    "output": [
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+                }
+            }
+        },
+        "L3": {
+            "Replicate 0": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1], [1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0], [1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0], [0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1], [1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1], [0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0], [0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1], [0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1], [1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1], [1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0], [0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1], [1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1], [1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1], [0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1], [0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1], [5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0], [0, 0, 5, 5, 5, 5, 5, 5, 0, 5, 5, 5, 5, 0, 5], [0, 0, 5, 0, 5, 5, 0, 0, 5, 0, 5, 5, 5, 5, 5], [0, 0, 0, 5, 5, 5, 5, 0, 5, 0, 5, 0, 0, 0, 5], [5, 5, 0, 5, 5, 0, 0, 0, 0, 5, 5, 0, 5, 5, 0], [5, 0, 0, 0, 0, 5, 0, 5, 5, 5, 0, 0, 5, 5, 5], [5, 0, 0, 5, 5, 0, 5, 0, 5, 5, 0, 0, 0, 5, 0], [0, 5, 5, 0, 5, 5, 5, 5, 0, 0, 5, 0, 0, 5, 0], [0, 0, 5, 0, 5, 0, 5, 0, 5, 5, 5, 5, 5, 0, 0], [0, 5, 0, 5, 5, 0, 5, 0, 5, 5, 0, 5, 5, 5, 0], [0, 5, 5, 5, 5, 5, 0, 0, 0, 5, 5, 0, 0, 5, 0], [5, 5, 5, 5, 0, 5, 5, 0, 0, 5, 0, 0, 5, 5, 5], [0, 5, 0, 5, 5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 0], [5, 5, 0, 0, 0, 0, 5, 0, 0, 5, 0, 5, 5, 5, 0], [5, 0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0], [2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2], [0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0], [0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2], [2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2], [0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2], [0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2], [0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0], [0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2], [0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2], [0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2], [2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0], [0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0], [2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2]] -> [[3, 3, 0, 3, 3, 3, 0, 0, 3, 0, 3, 0, 0, 3, 3], [0, 3, 3, 3, 3, 0, 3, 0, 0, 0, 3, 3, 0, 3, 0], [0, 0, 0, 3, 0, 3, 0, 3, 3, 3, 0, 3, 3, 3, 3], [3, 3, 3, 3, 3, 0, 3, 3, 0, 3, 0, 3, 3, 0, 0], [0, 0, 3, 3, 0, 0, 0, 0, 3, 0, 3, 3, 3, 0, 3], [0, 0, 3, 0, 0, 0, 3, 3, 3, 3, 3, 0, 3, 3, 3], [0, 0, 0, 3, 3, 3, 0, 3, 3, 0, 0, 0, 3, 3, 3], [0, 3, 0, 3, 3, 3, 3, 0, 0, 3, 3, 0, 3, 3, 0], [0, 3, 3, 3, 0, 0, 0, 0, 3, 3, 0, 3, 0, 3, 3], [0, 0, 3, 0, 3, 3, 0, 3, 3, 0, 3, 0, 0, 3, 3], [0, 0, 3, 0, 3, 0, 3, 0, 0, 3, 0, 0, 0, 3, 0], [3, 0, 0, 0, 3, 0, 3, 0, 0, 0, 0, 3, 0, 0, 0], [3, 3, 0, 3, 3, 0, 0, 3, 0, 3, 3, 3, 3, 3, 0], [0, 3, 3, 0, 0, 3, 3, 0, 3, 3, 0, 3, 3, 3, 0], [3, 3, 0, 0, 3, 3, 0, 0, 0, 3, 0, 0, 0, 3, 3]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1], [1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0], [1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0], [0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1], [1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1], [0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0], [0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1], [0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1], [1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1], [1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0], [0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1], [1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1], [1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1], [0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1], [0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1], [7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0], [0, 0, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 0, 7], [0, 0, 7, 0, 7, 7, 0, 0, 7, 0, 7, 7, 7, 7, 7], [0, 0, 0, 7, 7, 7, 7, 0, 7, 0, 7, 0, 0, 0, 7], [7, 7, 0, 7, 7, 0, 0, 0, 0, 7, 7, 0, 7, 7, 0], [7, 0, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 7, 7, 7], [7, 0, 0, 7, 7, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0], [0, 7, 7, 0, 7, 7, 7, 7, 0, 0, 7, 0, 0, 7, 0], [0, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7, 0, 0], [0, 7, 0, 7, 7, 0, 7, 0, 7, 7, 0, 7, 7, 7, 0], [0, 7, 7, 7, 7, 7, 0, 0, 0, 7, 7, 0, 0, 7, 0], [7, 7, 7, 7, 0, 7, 7, 0, 0, 7, 0, 0, 7, 7, 7], [0, 7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7, 0, 0], [7, 7, 0, 0, 0, 0, 7, 0, 0, 7, 0, 7, 7, 7, 0], [7, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0], [2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2], [0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0], [0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2], [2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2], [0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2], [0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2], [0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0], [0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2], [0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2], [0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2], [2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0], [0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0], [2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2]] -> [[3, 3, 0, 3, 3, 3, 0, 0, 3, 0, 3, 0, 0, 3, 3], [0, 3, 3, 3, 3, 0, 3, 0, 0, 0, 3, 3, 0, 3, 0], [0, 0, 0, 3, 0, 3, 0, 3, 3, 3, 0, 3, 3, 3, 3], [3, 3, 3, 3, 3, 0, 3, 3, 0, 3, 0, 3, 3, 0, 0], [0, 0, 3, 3, 0, 0, 0, 0, 3, 0, 3, 3, 3, 0, 3], [0, 0, 3, 0, 0, 0, 3, 3, 3, 3, 3, 0, 3, 3, 3], [0, 0, 0, 3, 3, 3, 0, 3, 3, 0, 0, 0, 3, 3, 3], [0, 3, 0, 3, 3, 3, 3, 0, 0, 3, 3, 0, 3, 3, 0], [0, 3, 3, 3, 0, 0, 0, 0, 3, 3, 0, 3, 0, 3, 3], [0, 0, 3, 0, 3, 3, 0, 3, 3, 0, 3, 0, 0, 3, 3], [0, 0, 3, 0, 3, 0, 3, 0, 0, 3, 0, 0, 0, 3, 0], [3, 0, 0, 0, 3, 0, 3, 0, 0, 0, 0, 3, 0, 0, 0], [3, 3, 0, 3, 3, 0, 0, 3, 0, 3, 3, 3, 3, 3, 0], [0, 3, 3, 0, 0, 3, 3, 0, 3, 3, 0, 3, 3, 3, 0], [3, 3, 0, 0, 3, 3, 0, 0, 0, 3, 0, 0, 0, 3, 3]]\nExample input-output arrays:\n[[0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0], [1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0], [1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0], [1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0], [0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0], [1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1], [1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0], [1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0], [1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0], [0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0], [0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0], [0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1], [0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1], [1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0], [0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1], [5, 5, 5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 0, 5, 0], [0, 5, 0, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 5, 5], [0, 5, 0, 5, 0, 0, 5, 0, 0, 0, 0, 5, 5, 0, 5], [0, 5, 5, 0, 5, 5, 0, 0, 5, 0, 5, 5, 0, 0, 5], [5, 0, 0, 5, 0, 5, 5, 5, 5, 5, 0, 5, 5, 0, 0], [5, 5, 5, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0], [0, 0, 0, 5, 0, 5, 0, 0, 0, 5, 0, 0, 0, 5, 5], [0, 5, 0, 0, 5, 0, 5, 5, 5, 0, 0, 5, 0, 0, 5], [5, 5, 5, 5, 0, 0, 5, 5, 0, 5, 5, 0, 0, 0, 0], [0, 5, 5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 5, 0, 5], [5, 0, 0, 5, 0, 0, 0, 5, 5, 5, 0, 0, 5, 0, 0], [5, 0, 5, 0, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 5], [0, 5, 0, 0, 5, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0], [5, 5, 5, 0, 5, 0, 0, 0, 0, 5, 0, 5, 5, 0, 0], [5, 5, 0, 5, 0, 0, 5, 0, 5, 5, 0, 0, 5, 0, 5], [0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0], [2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0], [0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2], [2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2], [2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0], [0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0], [0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2], [2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0], [2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2], [2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0], [2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0], [2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2], [0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0], [0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0]] -> [[0, 0, 3, 0, 3, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0], [3, 0, 0, 3, 0, 3, 3, 0, 3, 0, 3, 0, 3, 3, 0], [0, 3, 3, 0, 3, 0, 0, 0, 3, 0, 0, 3, 3, 0, 3], [3, 3, 0, 0, 3, 0, 0, 0, 0, 3, 0, 0, 0, 0, 3], [3, 0, 0, 3, 0, 3, 0, 0, 3, 3, 0, 3, 0, 3, 0], [3, 0, 0, 0, 0, 3, 0, 3, 0, 0, 0, 3, 3, 0, 0], [0, 3, 3, 3, 3, 3, 0, 0, 0, 3, 3, 3, 3, 0, 3], [3, 3, 3, 3, 3, 3, 0, 0, 3, 0, 0, 3, 3, 3, 0], [0, 0, 3, 0, 3, 0, 0, 3, 0, 3, 0, 0, 0, 3, 3], [3, 0, 0, 0, 0, 0, 3, 3, 0, 3, 3, 3, 3, 3, 0], [3, 3, 0, 3, 0, 0, 3, 0, 0, 3, 3, 0, 3, 3, 0], [3, 3, 3, 3, 3, 0, 3, 3, 0, 0, 3, 0, 0, 0, 3], [3, 3, 3, 0, 3, 3, 0, 0, 3, 3, 3, 0, 3, 3, 3], [3, 3, 0, 3, 3, 3, 3, 3, 3, 0, 0, 0, 3, 0, 0], [0, 3, 3, 3, 0, 3, 3, 3, 0, 3, 3, 3, 3, 0, 3]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0], [0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1], [0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1], [1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0], [1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0], [0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0], [1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0], [0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0], [1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1], [0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1], [1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0], [0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0], [0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1], [0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1], [0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1], [5, 5, 0, 0, 5, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5], [0, 5, 5, 5, 0, 5, 0, 0, 0, 0, 5, 5, 5, 0, 5], [0, 0, 5, 0, 5, 5, 5, 0, 0, 5, 5, 5, 0, 5, 0], [5, 5, 5, 0, 5, 5, 0, 0, 0, 5, 5, 0, 0, 5, 5], [5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 5, 0, 5, 0, 5], [5, 5, 5, 5, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 5], [5, 5, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5], [0, 0, 5, 0, 5, 0, 0, 5, 5, 5, 0, 0, 0, 0, 5], [5, 5, 0, 5, 0, 0, 0, 5, 0, 5, 5, 5, 0, 0, 5], [0, 0, 5, 5, 0, 0, 5, 5, 0, 5, 0, 5, 5, 0, 0], [0, 5, 0, 0, 0, 5, 5, 0, 0, 5, 0, 0, 5, 0, 0], [5, 0, 5, 5, 0, 5, 5, 5, 5, 0, 5, 5, 5, 5, 0], [0, 0, 5, 5, 5, 5, 5, 0, 0, 5, 0, 5, 0, 0, 0], [5, 0, 0, 5, 5, 0, 5, 5, 0, 5, 0, 5, 0, 5, 0], [0, 5, 5, 0, 5, 5, 0, 0, 5, 5, 5, 0, 0, 0, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]] -> ",
+                "test": {
+                    "input": [
+                        [
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+                        [
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+                            2,
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+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ]
+                    ],
+                    "output": [
+                        [
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0
+                        ],
+                        [
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3
+                        ],
+                        [
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0
+                        ],
+                        [
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0
+                        ]
+                    ]
+                }
+            },
+            "Replicate 1": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1], [0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1], [0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1], [1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1], [1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1], [0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0], [1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1], [1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1], [1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1], [0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1], [1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0], [0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0], [1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 5, 5, 5, 5, 0, 5, 5, 0], [0, 5, 0, 5, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 0], [5, 0, 5, 5, 5, 5, 5, 5, 5, 0, 0, 5, 0, 5, 5], [5, 0, 5, 5, 0, 5, 5, 5, 5, 0, 0, 5, 5, 5, 0], [5, 5, 5, 0, 0, 5, 5, 0, 0, 0, 0, 5, 0, 5, 5], [0, 5, 0, 5, 5, 5, 0, 5, 0, 0, 5, 5, 0, 0, 0], [0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 5, 0], [0, 0, 0, 5, 0, 0, 5, 5, 5, 0, 5, 0, 0, 5, 0], [5, 0, 5, 5, 5, 0, 0, 0, 0, 0, 5, 5, 5, 0, 5], [0, 5, 0, 0, 0, 5, 0, 5, 5, 5, 5, 0, 5, 5, 0], [0, 5, 0, 5, 0, 0, 0, 5, 0, 0, 0, 5, 5, 0, 5], [5, 5, 0, 5, 0, 0, 5, 5, 5, 5, 0, 5, 0, 0, 0], [0, 5, 0, 0, 5, 0, 5, 5, 5, 0, 0, 5, 0, 5, 0], [5, 0, 5, 0, 0, 0, 0, 0, 5, 5, 0, 5, 5, 0, 5], [0, 0, 5, 5, 5, 5, 0, 5, 0, 5, 0, 0, 0, 0, 0], [0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2], [0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0], [2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0], [0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0], [0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2], [2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0], [2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0], [0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2], [0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2], [2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0], [2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0], [0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2], [0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0], [2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2], [0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2]] -> [[0, 3, 0, 0, 3, 0, 0, 3, 0, 3, 0, 3, 0, 0, 3], [0, 0, 3, 3, 0, 3, 3, 3, 0, 3, 0, 3, 0, 0, 0], [3, 0, 3, 3, 3, 3, 0, 0, 3, 0, 3, 3, 3, 3, 3], [3, 3, 0, 3, 3, 3, 3, 0, 3, 0, 0, 3, 0, 3, 0], [3, 0, 3, 0, 3, 3, 3, 0, 0, 3, 3, 3, 0, 3, 0], [3, 3, 0, 3, 0, 0, 0, 0, 0, 3, 0, 3, 0, 0, 0], [3, 3, 3, 0, 3, 3, 0, 3, 3, 0, 3, 0, 0, 0, 0], [0, 3, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 0, 3, 3, 0, 0, 3, 3, 3, 0, 0, 3, 0, 0], [3, 0, 0, 0, 3, 0, 0, 3, 3, 3, 3, 0, 3, 0, 0], [3, 3, 0, 3, 0, 0, 0, 0, 0, 0, 0, 3, 0, 3, 0], [0, 3, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3], [0, 0, 0, 0, 0, 3, 0, 3, 3, 3, 0, 0, 0, 0, 0], [3, 3, 0, 3, 0, 0, 3, 3, 3, 0, 0, 3, 0, 3, 3], [0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 3, 3, 0, 3, 3]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1], [0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1], [0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1], [1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1], [1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1], [0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0], [1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1], [1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1], [1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1], [0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1], [1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0], [0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0], [1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 0, 0, 8, 8, 8, 8, 0, 8, 8, 0], [0, 8, 0, 8, 0, 8, 0, 8, 0, 0, 8, 0, 8, 0, 0], [8, 0, 8, 8, 8, 8, 8, 8, 8, 0, 0, 8, 0, 8, 8], [8, 0, 8, 8, 0, 8, 8, 8, 8, 0, 0, 8, 8, 8, 0], [8, 8, 8, 0, 0, 8, 8, 0, 0, 0, 0, 8, 0, 8, 8], [0, 8, 0, 8, 8, 8, 0, 8, 0, 0, 8, 8, 0, 0, 0], [0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 8, 0, 8, 8, 0], [0, 0, 0, 8, 0, 0, 8, 8, 8, 0, 8, 0, 0, 8, 0], [8, 0, 8, 8, 8, 0, 0, 0, 0, 0, 8, 8, 8, 0, 8], [0, 8, 0, 0, 0, 8, 0, 8, 8, 8, 8, 0, 8, 8, 0], [0, 8, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 8, 0, 8], [8, 8, 0, 8, 0, 0, 8, 8, 8, 8, 0, 8, 0, 0, 0], [0, 8, 0, 0, 8, 0, 8, 8, 8, 0, 0, 8, 0, 8, 0], [8, 0, 8, 0, 0, 0, 0, 0, 8, 8, 0, 8, 8, 0, 8], [0, 0, 8, 8, 8, 8, 0, 8, 0, 8, 0, 0, 0, 0, 0], [0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2], [0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0], [2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0], [0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0], [0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2], [2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0], [2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0], [0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2], [0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2], [2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0], [2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0], [0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2], [0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0], [2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2], [0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2]] -> [[0, 3, 0, 0, 3, 0, 0, 3, 0, 3, 0, 3, 0, 0, 3], [0, 0, 3, 3, 0, 3, 3, 3, 0, 3, 0, 3, 0, 0, 0], [3, 0, 3, 3, 3, 3, 0, 0, 3, 0, 3, 3, 3, 3, 3], [3, 3, 0, 3, 3, 3, 3, 0, 3, 0, 0, 3, 0, 3, 0], [3, 0, 3, 0, 3, 3, 3, 0, 0, 3, 3, 3, 0, 3, 0], [3, 3, 0, 3, 0, 0, 0, 0, 0, 3, 0, 3, 0, 0, 0], [3, 3, 3, 0, 3, 3, 0, 3, 3, 0, 3, 0, 0, 0, 0], [0, 3, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 0, 3, 3, 0, 0, 3, 3, 3, 0, 0, 3, 0, 0], [3, 0, 0, 0, 3, 0, 0, 3, 3, 3, 3, 0, 3, 0, 0], [3, 3, 0, 3, 0, 0, 0, 0, 0, 0, 0, 3, 0, 3, 0], [0, 3, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3], [0, 0, 0, 0, 0, 3, 0, 3, 3, 3, 0, 0, 0, 0, 0], [3, 3, 0, 3, 0, 0, 3, 3, 3, 0, 0, 3, 0, 3, 3], [0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 3, 3, 0, 3, 3]]\nExample input-output arrays:\n[[0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1], [1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0], [1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0], [0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1], [1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1], [0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0], [0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1], [0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1], [1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1], [1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0], [0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1], [1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1], [1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1], [0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1], [0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1], [5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0], [0, 0, 5, 5, 5, 5, 5, 5, 0, 5, 5, 5, 5, 0, 5], [0, 0, 5, 0, 5, 5, 0, 0, 5, 0, 5, 5, 5, 5, 5], [0, 0, 0, 5, 5, 5, 5, 0, 5, 0, 5, 0, 0, 0, 5], [5, 5, 0, 5, 5, 0, 0, 0, 0, 5, 5, 0, 5, 5, 0], [5, 0, 0, 0, 0, 5, 0, 5, 5, 5, 0, 0, 5, 5, 5], [5, 0, 0, 5, 5, 0, 5, 0, 5, 5, 0, 0, 0, 5, 0], [0, 5, 5, 0, 5, 5, 5, 5, 0, 0, 5, 0, 0, 5, 0], [0, 0, 5, 0, 5, 0, 5, 0, 5, 5, 5, 5, 5, 0, 0], [0, 5, 0, 5, 5, 0, 5, 0, 5, 5, 0, 5, 5, 5, 0], [0, 5, 5, 5, 5, 5, 0, 0, 0, 5, 5, 0, 0, 5, 0], [5, 5, 5, 5, 0, 5, 5, 0, 0, 5, 0, 0, 5, 5, 5], [0, 5, 0, 5, 5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 0], [5, 5, 0, 0, 0, 0, 5, 0, 0, 5, 0, 5, 5, 5, 0], [5, 0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0], [2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2], [0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0], [0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2], [2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2], [0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2], [0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2], [0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0], [0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2], [0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2], [0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2], [2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0], [0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0], [2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2]] -> [[3, 3, 0, 3, 3, 3, 0, 0, 3, 0, 3, 0, 0, 3, 3], [0, 3, 3, 3, 3, 0, 3, 0, 0, 0, 3, 3, 0, 3, 0], [0, 0, 0, 3, 0, 3, 0, 3, 3, 3, 0, 3, 3, 3, 3], [3, 3, 3, 3, 3, 0, 3, 3, 0, 3, 0, 3, 3, 0, 0], [0, 0, 3, 3, 0, 0, 0, 0, 3, 0, 3, 3, 3, 0, 3], [0, 0, 3, 0, 0, 0, 3, 3, 3, 3, 3, 0, 3, 3, 3], [0, 0, 0, 3, 3, 3, 0, 3, 3, 0, 0, 0, 3, 3, 3], [0, 3, 0, 3, 3, 3, 3, 0, 0, 3, 3, 0, 3, 3, 0], [0, 3, 3, 3, 0, 0, 0, 0, 3, 3, 0, 3, 0, 3, 3], [0, 0, 3, 0, 3, 3, 0, 3, 3, 0, 3, 0, 0, 3, 3], [0, 0, 3, 0, 3, 0, 3, 0, 0, 3, 0, 0, 0, 3, 0], [3, 0, 0, 0, 3, 0, 3, 0, 0, 0, 0, 3, 0, 0, 0], [3, 3, 0, 3, 3, 0, 0, 3, 0, 3, 3, 3, 3, 3, 0], [0, 3, 3, 0, 0, 3, 3, 0, 3, 3, 0, 3, 3, 3, 0], [3, 3, 0, 0, 3, 3, 0, 0, 0, 3, 0, 0, 0, 3, 3]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0], [0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1], [1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1], [1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0], [1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0], [0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1], [0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0], [0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0], [1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1], [0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1], [1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0], [1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0], [1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0], [0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0], [5, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 5, 5, 5, 5], [0, 5, 0, 5, 5, 0, 5, 0, 0, 0, 5, 0, 5, 5, 0], [0, 0, 5, 0, 5, 5, 0, 0, 0, 5, 5, 5, 5, 5, 5], [5, 0, 0, 0, 5, 0, 5, 0, 5, 0, 5, 5, 0, 5, 0], [0, 5, 5, 5, 5, 0, 5, 5, 5, 5, 5, 5, 5, 0, 5], [5, 0, 0, 5, 0, 0, 0, 0, 5, 0, 5, 0, 0, 0, 5], [5, 5, 0, 0, 5, 0, 5, 5, 5, 5, 0, 0, 0, 0, 5], [0, 0, 5, 5, 5, 5, 5, 0, 5, 0, 0, 5, 5, 5, 0], [5, 5, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 5, 0, 5], [5, 5, 0, 5, 5, 0, 5, 5, 5, 5, 5, 0, 5, 5, 5], [5, 0, 0, 0, 5, 5, 0, 0, 5, 0, 5, 5, 5, 0, 0], [5, 0, 0, 5, 0, 5, 0, 0, 0, 0, 0, 5, 0, 5, 5], [5, 0, 0, 0, 5, 0, 5, 0, 5, 5, 5, 5, 0, 0, 0], [0, 0, 0, 5, 5, 5, 5, 0, 0, 0, 5, 5, 5, 0, 5], [0, 0, 0, 0, 5, 5, 0, 5, 0, 0, 0, 0, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> ",
+                "test": {
+                    "input": [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        ]
+                    ],
+                    "output": [
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+                        [
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+                        [
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+                            0,
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+                        [
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+                        [
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+                        [
+                            0,
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+                            0,
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+                            0,
+                            3,
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+                }
+            },
+            "Replicate 2": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0], [1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0], [1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0], [1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0], [0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0], [1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1], [1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0], [1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0], [1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0], [0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0], [0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0], [0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1], [0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1], [1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0], [0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1], [5, 5, 5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 0, 5, 0], [0, 5, 0, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 5, 5], [0, 5, 0, 5, 0, 0, 5, 0, 0, 0, 0, 5, 5, 0, 5], [0, 5, 5, 0, 5, 5, 0, 0, 5, 0, 5, 5, 0, 0, 5], [5, 0, 0, 5, 0, 5, 5, 5, 5, 5, 0, 5, 5, 0, 0], [5, 5, 5, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0], [0, 0, 0, 5, 0, 5, 0, 0, 0, 5, 0, 0, 0, 5, 5], [0, 5, 0, 0, 5, 0, 5, 5, 5, 0, 0, 5, 0, 0, 5], [5, 5, 5, 5, 0, 0, 5, 5, 0, 5, 5, 0, 0, 0, 0], [0, 5, 5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 5, 0, 5], [5, 0, 0, 5, 0, 0, 0, 5, 5, 5, 0, 0, 5, 0, 0], [5, 0, 5, 0, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 5], [0, 5, 0, 0, 5, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0], [5, 5, 5, 0, 5, 0, 0, 0, 0, 5, 0, 5, 5, 0, 0], [5, 5, 0, 5, 0, 0, 5, 0, 5, 5, 0, 0, 5, 0, 5], [0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0], [2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0], [0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2], [2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2], [2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0], [0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0], [0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2], [2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0], [2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2], [2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0], [2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0], [2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2], [0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0], [0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0]] -> [[0, 0, 3, 0, 3, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0], [3, 0, 0, 3, 0, 3, 3, 0, 3, 0, 3, 0, 3, 3, 0], [0, 3, 3, 0, 3, 0, 0, 0, 3, 0, 0, 3, 3, 0, 3], [3, 3, 0, 0, 3, 0, 0, 0, 0, 3, 0, 0, 0, 0, 3], [3, 0, 0, 3, 0, 3, 0, 0, 3, 3, 0, 3, 0, 3, 0], [3, 0, 0, 0, 0, 3, 0, 3, 0, 0, 0, 3, 3, 0, 0], [0, 3, 3, 3, 3, 3, 0, 0, 0, 3, 3, 3, 3, 0, 3], [3, 3, 3, 3, 3, 3, 0, 0, 3, 0, 0, 3, 3, 3, 0], [0, 0, 3, 0, 3, 0, 0, 3, 0, 3, 0, 0, 0, 3, 3], [3, 0, 0, 0, 0, 0, 3, 3, 0, 3, 3, 3, 3, 3, 0], [3, 3, 0, 3, 0, 0, 3, 0, 0, 3, 3, 0, 3, 3, 0], [3, 3, 3, 3, 3, 0, 3, 3, 0, 0, 3, 0, 0, 0, 3], [3, 3, 3, 0, 3, 3, 0, 0, 3, 3, 3, 0, 3, 3, 3], [3, 3, 0, 3, 3, 3, 3, 3, 3, 0, 0, 0, 3, 0, 0], [0, 3, 3, 3, 0, 3, 3, 3, 0, 3, 3, 3, 3, 0, 3]]\nExample input-output arrays:\n[[0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0], [1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0], [1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0], [1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0], [0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0], [1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1], [1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0], [1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0], [1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0], [0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0], [0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0], [0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1], [0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1], [1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0], [0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1], [5, 5, 5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 0, 5, 0], [0, 5, 0, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 5, 5], [0, 5, 0, 5, 0, 0, 5, 0, 0, 0, 0, 5, 5, 0, 5], [0, 5, 5, 0, 5, 5, 0, 0, 5, 0, 5, 5, 0, 0, 5], [5, 0, 0, 5, 0, 5, 5, 5, 5, 5, 0, 5, 5, 0, 0], [5, 5, 5, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0], [0, 0, 0, 5, 0, 5, 0, 0, 0, 5, 0, 0, 0, 5, 5], [0, 5, 0, 0, 5, 0, 5, 5, 5, 0, 0, 5, 0, 0, 5], [5, 5, 5, 5, 0, 0, 5, 5, 0, 5, 5, 0, 0, 0, 0], [0, 5, 5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 5, 0, 5], [5, 0, 0, 5, 0, 0, 0, 5, 5, 5, 0, 0, 5, 0, 0], [5, 0, 5, 0, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 5], [0, 5, 0, 0, 5, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0], [5, 5, 5, 0, 5, 0, 0, 0, 0, 5, 0, 5, 5, 0, 0], [5, 5, 0, 5, 0, 0, 5, 0, 5, 5, 0, 0, 5, 0, 5], [0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0], [2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0], [0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2], [2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2], [2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0], [0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0], [0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2], [2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0], [2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2], [2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0], [2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0], [2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2], [0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0], [0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0]] -> [[0, 0, 3, 0, 3, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0], [3, 0, 0, 3, 0, 3, 3, 0, 3, 0, 3, 0, 3, 3, 0], [0, 3, 3, 0, 3, 0, 0, 0, 3, 0, 0, 3, 3, 0, 3], [3, 3, 0, 0, 3, 0, 0, 0, 0, 3, 0, 0, 0, 0, 3], [3, 0, 0, 3, 0, 3, 0, 0, 3, 3, 0, 3, 0, 3, 0], [3, 0, 0, 0, 0, 3, 0, 3, 0, 0, 0, 3, 3, 0, 0], [0, 3, 3, 3, 3, 3, 0, 0, 0, 3, 3, 3, 3, 0, 3], [3, 3, 3, 3, 3, 3, 0, 0, 3, 0, 0, 3, 3, 3, 0], [0, 0, 3, 0, 3, 0, 0, 3, 0, 3, 0, 0, 0, 3, 3], [3, 0, 0, 0, 0, 0, 3, 3, 0, 3, 3, 3, 3, 3, 0], [3, 3, 0, 3, 0, 0, 3, 0, 0, 3, 3, 0, 3, 3, 0], [3, 3, 3, 3, 3, 0, 3, 3, 0, 0, 3, 0, 0, 0, 3], [3, 3, 3, 0, 3, 3, 0, 0, 3, 3, 3, 0, 3, 3, 3], [3, 3, 0, 3, 3, 3, 3, 3, 3, 0, 0, 0, 3, 0, 0], [0, 3, 3, 3, 0, 3, 3, 3, 0, 3, 3, 3, 3, 0, 3]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0], [0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1], [0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1], [1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0], [1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0], [0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0], [1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0], [0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0], [1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1], [0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1], [1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0], [0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0], [0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1], [0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1], [0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1], [5, 5, 0, 0, 5, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5], [0, 5, 5, 5, 0, 5, 0, 0, 0, 0, 5, 5, 5, 0, 5], [0, 0, 5, 0, 5, 5, 5, 0, 0, 5, 5, 5, 0, 5, 0], [5, 5, 5, 0, 5, 5, 0, 0, 0, 5, 5, 0, 0, 5, 5], [5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 5, 0, 5, 0, 5], [5, 5, 5, 5, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 5], [5, 5, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5], [0, 0, 5, 0, 5, 0, 0, 5, 5, 5, 0, 0, 0, 0, 5], [5, 5, 0, 5, 0, 0, 0, 5, 0, 5, 5, 5, 0, 0, 5], [0, 0, 5, 5, 0, 0, 5, 5, 0, 5, 0, 5, 5, 0, 0], [0, 5, 0, 0, 0, 5, 5, 0, 0, 5, 0, 0, 5, 0, 0], [5, 0, 5, 5, 0, 5, 5, 5, 5, 0, 5, 5, 5, 5, 0], [0, 0, 5, 5, 5, 5, 5, 0, 0, 5, 0, 5, 0, 0, 0], [5, 0, 0, 5, 5, 0, 5, 5, 0, 5, 0, 5, 0, 5, 0], [0, 5, 5, 0, 5, 5, 0, 0, 5, 5, 5, 0, 0, 0, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]] -> ",
+                "test": {
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+                    ],
+                    "output": [
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+                    ]
+                }
+            },
+            "Replicate 3": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1], [1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1], [1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1], [0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1], [1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0], [1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0], [1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1], [0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0], [1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1], [1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1], [0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0], [1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0], [1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1], [1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0], [1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0], [5, 5, 5, 5, 5, 0, 5, 0, 0, 0, 0, 5, 5, 0, 5], [0, 5, 5, 0, 5, 0, 5, 0, 0, 5, 0, 5, 5, 5, 5], [5, 0, 0, 0, 5, 5, 5, 0, 0, 5, 5, 5, 0, 0, 5], [0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 5, 5, 0, 0, 0], [0, 0, 5, 5, 5, 5, 0, 0, 5, 5, 5, 5, 0, 0, 5], [5, 0, 5, 5, 5, 5, 5, 0, 0, 5, 5, 5, 0, 0, 5], [5, 5, 0, 0, 5, 5, 0, 5, 0, 5, 0, 5, 5, 5, 0], [5, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 5, 0, 0, 5], [5, 5, 0, 0, 0, 0, 0, 5, 5, 5, 5, 5, 0, 0, 0], [0, 5, 0, 5, 0, 0, 0, 5, 0, 0, 0, 5, 5, 5, 5], [5, 5, 5, 5, 5, 0, 0, 5, 5, 5, 0, 5, 5, 5, 0], [0, 0, 5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 5, 0, 0], [0, 5, 5, 0, 0, 5, 5, 0, 0, 5, 0, 0, 0, 0, 0], [5, 0, 5, 5, 5, 0, 0, 5, 0, 0, 5, 5, 5, 0, 0], [0, 0, 0, 5, 0, 5, 5, 5, 0, 5, 5, 5, 5, 5, 0], [0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2], [2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0], [2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0], [2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0], [0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2], [2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0], [2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2], [0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0], [2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2], [2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0], [0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2], [2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2], [2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0], [2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2], [0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2]] -> [[3, 3, 0, 3, 0, 3, 0, 3, 3, 0, 0, 3, 0, 3, 0], [3, 0, 3, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 3], [0, 3, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 3, 0, 3], [3, 0, 0, 3, 3, 0, 0, 3, 0, 0, 0, 0, 3, 0, 0], [0, 0, 3, 0, 3, 0, 3, 3, 0, 3, 0, 0, 3, 3, 3], [0, 3, 3, 0, 0, 3, 3, 0, 3, 0, 0, 0, 3, 3, 0], [0, 0, 3, 3, 3, 3, 3, 0, 3, 0, 0, 3, 3, 3, 3], [0, 0, 0, 3, 0, 3, 3, 3, 3, 0, 3, 3, 3, 0, 0], [0, 3, 0, 3, 0, 3, 0, 0, 3, 0, 3, 3, 3, 3, 3], [3, 0, 3, 3, 0, 3, 0, 3, 0, 3, 0, 3, 3, 0, 3], [0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3, 0, 0, 0, 3], [3, 0, 3, 3, 0, 3, 0, 3, 3, 3, 3, 3, 0, 0, 0], [0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 0, 0, 0, 3, 3], [0, 0, 3, 0, 0, 3, 3, 3, 3, 0, 0, 3, 3, 3, 3]]\nExample input-output arrays:\n[[1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1], [1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1], [1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1], [0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1], [1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0], [1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0], [1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1], [0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0], [1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1], [1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1], [0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0], [1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0], [1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1], [1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0], [1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0], [5, 5, 5, 5, 5, 0, 5, 0, 0, 0, 0, 5, 5, 0, 5], [0, 5, 5, 0, 5, 0, 5, 0, 0, 5, 0, 5, 5, 5, 5], [5, 0, 0, 0, 5, 5, 5, 0, 0, 5, 5, 5, 0, 0, 5], [0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 5, 5, 0, 0, 0], [0, 0, 5, 5, 5, 5, 0, 0, 5, 5, 5, 5, 0, 0, 5], [5, 0, 5, 5, 5, 5, 5, 0, 0, 5, 5, 5, 0, 0, 5], [5, 5, 0, 0, 5, 5, 0, 5, 0, 5, 0, 5, 5, 5, 0], [5, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 5, 0, 0, 5], [5, 5, 0, 0, 0, 0, 0, 5, 5, 5, 5, 5, 0, 0, 0], [0, 5, 0, 5, 0, 0, 0, 5, 0, 0, 0, 5, 5, 5, 5], [5, 5, 5, 5, 5, 0, 0, 5, 5, 5, 0, 5, 5, 5, 0], [0, 0, 5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 5, 0, 0], [0, 5, 5, 0, 0, 5, 5, 0, 0, 5, 0, 0, 0, 0, 0], [5, 0, 5, 5, 5, 0, 0, 5, 0, 0, 5, 5, 5, 0, 0], [0, 0, 0, 5, 0, 5, 5, 5, 0, 5, 5, 5, 5, 5, 0], [0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2], [2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0], [2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0], [2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0], [0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2], [2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0], [2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2], [0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0], [2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2], [2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0], [0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2], [2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2], [2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0], [2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2], [0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2]] -> [[3, 3, 0, 3, 0, 3, 0, 3, 3, 0, 0, 3, 0, 3, 0], [3, 0, 3, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 3], [0, 3, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 3, 0, 3], [3, 0, 0, 3, 3, 0, 0, 3, 0, 0, 0, 0, 3, 0, 0], [0, 0, 3, 0, 3, 0, 3, 3, 0, 3, 0, 0, 3, 3, 3], [0, 3, 3, 0, 0, 3, 3, 0, 3, 0, 0, 0, 3, 3, 0], [0, 0, 3, 3, 3, 3, 3, 0, 3, 0, 0, 3, 3, 3, 3], [0, 0, 0, 3, 0, 3, 3, 3, 3, 0, 3, 3, 3, 0, 0], [0, 3, 0, 3, 0, 3, 0, 0, 3, 0, 3, 3, 3, 3, 3], [3, 0, 3, 3, 0, 3, 0, 3, 0, 3, 0, 3, 3, 0, 3], [0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3, 0, 0, 0, 3], [3, 0, 3, 3, 0, 3, 0, 3, 3, 3, 3, 3, 0, 0, 0], [0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 0, 0, 0, 3, 3], [0, 0, 3, 0, 0, 3, 3, 3, 3, 0, 0, 3, 3, 3, 3]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [5, 5, 0, 0, 5, 0, 0, 5, 5, 0, 5, 0, 0, 0, 5], [5, 0, 5, 0, 5, 5, 5, 0, 0, 0, 0, 5, 0, 5, 5], [0, 5, 0, 5, 5, 0, 5, 0, 0, 0, 0, 0, 5, 5, 0], [0, 5, 5, 5, 5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 5], [0, 0, 0, 5, 0, 5, 5, 5, 0, 5, 0, 0, 0, 5, 0], [0, 0, 0, 5, 5, 0, 5, 5, 0, 5, 0, 0, 5, 5, 5], [0, 0, 5, 5, 5, 0, 5, 5, 0, 0, 5, 5, 0, 5, 0], [0, 0, 0, 0, 0, 5, 0, 0, 0, 5, 0, 5, 0, 0, 5], [0, 5, 0, 0, 5, 0, 0, 0, 5, 5, 5, 5, 0, 0, 0], [0, 0, 5, 5, 5, 0, 0, 0, 5, 5, 5, 5, 5, 5, 5], [0, 5, 5, 0, 5, 0, 5, 0, 5, 5, 0, 0, 5, 5, 5], [5, 0, 5, 0, 0, 5, 0, 0, 5, 5, 5, 0, 5, 5, 5], [5, 5, 5, 5, 5, 0, 0, 5, 5, 0, 5, 5, 0, 5, 5], [5, 0, 5, 0, 5, 0, 0, 0, 5, 5, 5, 0, 0, 5, 0], [5, 0, 5, 0, 5, 5, 0, 5, 0, 0, 0, 5, 5, 0, 5], [0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2], [2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0], [0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0], [2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0], [2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2], [2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2], [0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2], [2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0], [0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0], [2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2], [0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0], [0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0], [2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2], [2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0], [2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2]] -> ",
+                "test": {
+                    "input": [
+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                            0,
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        ]
+                    ],
+                    "output": [
+                        [
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+                }
+            },
+            "Replicate 4": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1], [0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1], [0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1], [1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1], [1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1], [0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0], [1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1], [1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1], [1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1], [0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1], [1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0], [0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0], [1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 5, 5, 5, 5, 0, 5, 5, 0], [0, 5, 0, 5, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 0], [5, 0, 5, 5, 5, 5, 5, 5, 5, 0, 0, 5, 0, 5, 5], [5, 0, 5, 5, 0, 5, 5, 5, 5, 0, 0, 5, 5, 5, 0], [5, 5, 5, 0, 0, 5, 5, 0, 0, 0, 0, 5, 0, 5, 5], [0, 5, 0, 5, 5, 5, 0, 5, 0, 0, 5, 5, 0, 0, 0], [0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 5, 0], [0, 0, 0, 5, 0, 0, 5, 5, 5, 0, 5, 0, 0, 5, 0], [5, 0, 5, 5, 5, 0, 0, 0, 0, 0, 5, 5, 5, 0, 5], [0, 5, 0, 0, 0, 5, 0, 5, 5, 5, 5, 0, 5, 5, 0], [0, 5, 0, 5, 0, 0, 0, 5, 0, 0, 0, 5, 5, 0, 5], [5, 5, 0, 5, 0, 0, 5, 5, 5, 5, 0, 5, 0, 0, 0], [0, 5, 0, 0, 5, 0, 5, 5, 5, 0, 0, 5, 0, 5, 0], [5, 0, 5, 0, 0, 0, 0, 0, 5, 5, 0, 5, 5, 0, 5], [0, 0, 5, 5, 5, 5, 0, 5, 0, 5, 0, 0, 0, 0, 0], [0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2], [0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0], [2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0], [0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0], [0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2], [2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0], [2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0], [0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2], [0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2], [2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0], [2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0], [0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2], [0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0], [2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2], [0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2]] -> [[0, 3, 0, 0, 3, 0, 0, 3, 0, 3, 0, 3, 0, 0, 3], [0, 0, 3, 3, 0, 3, 3, 3, 0, 3, 0, 3, 0, 0, 0], [3, 0, 3, 3, 3, 3, 0, 0, 3, 0, 3, 3, 3, 3, 3], [3, 3, 0, 3, 3, 3, 3, 0, 3, 0, 0, 3, 0, 3, 0], [3, 0, 3, 0, 3, 3, 3, 0, 0, 3, 3, 3, 0, 3, 0], [3, 3, 0, 3, 0, 0, 0, 0, 0, 3, 0, 3, 0, 0, 0], [3, 3, 3, 0, 3, 3, 0, 3, 3, 0, 3, 0, 0, 0, 0], [0, 3, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 0, 3, 3, 0, 0, 3, 3, 3, 0, 0, 3, 0, 0], [3, 0, 0, 0, 3, 0, 0, 3, 3, 3, 3, 0, 3, 0, 0], [3, 3, 0, 3, 0, 0, 0, 0, 0, 0, 0, 3, 0, 3, 0], [0, 3, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3], [0, 0, 0, 0, 0, 3, 0, 3, 3, 3, 0, 0, 0, 0, 0], [3, 3, 0, 3, 0, 0, 3, 3, 3, 0, 0, 3, 0, 3, 3], [0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 3, 3, 0, 3, 3]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1], [0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1], [0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1], [1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1], [1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1], [0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0], [1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1], [1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1], [1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1], [0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1], [1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0], [0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0], [1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 9, 0, 0, 9, 9, 9, 9, 0, 9, 9, 0], [0, 9, 0, 9, 0, 9, 0, 9, 0, 0, 9, 0, 9, 0, 0], [9, 0, 9, 9, 9, 9, 9, 9, 9, 0, 0, 9, 0, 9, 9], [9, 0, 9, 9, 0, 9, 9, 9, 9, 0, 0, 9, 9, 9, 0], [9, 9, 9, 0, 0, 9, 9, 0, 0, 0, 0, 9, 0, 9, 9], [0, 9, 0, 9, 9, 9, 0, 9, 0, 0, 9, 9, 0, 0, 0], [0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 9, 0, 9, 9, 0], [0, 0, 0, 9, 0, 0, 9, 9, 9, 0, 9, 0, 0, 9, 0], [9, 0, 9, 9, 9, 0, 0, 0, 0, 0, 9, 9, 9, 0, 9], [0, 9, 0, 0, 0, 9, 0, 9, 9, 9, 9, 0, 9, 9, 0], [0, 9, 0, 9, 0, 0, 0, 9, 0, 0, 0, 9, 9, 0, 9], [9, 9, 0, 9, 0, 0, 9, 9, 9, 9, 0, 9, 0, 0, 0], [0, 9, 0, 0, 9, 0, 9, 9, 9, 0, 0, 9, 0, 9, 0], [9, 0, 9, 0, 0, 0, 0, 0, 9, 9, 0, 9, 9, 0, 9], [0, 0, 9, 9, 9, 9, 0, 9, 0, 9, 0, 0, 0, 0, 0], [0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2], [0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0], [2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0], [0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0], [0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2], [2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0], [2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0], [0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2], [0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2], [2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0], [2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0], [0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2], [0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0], [2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2], [0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2]] -> [[0, 3, 0, 0, 3, 0, 0, 3, 0, 3, 0, 3, 0, 0, 3], [0, 0, 3, 3, 0, 3, 3, 3, 0, 3, 0, 3, 0, 0, 0], [3, 0, 3, 3, 3, 3, 0, 0, 3, 0, 3, 3, 3, 3, 3], [3, 3, 0, 3, 3, 3, 3, 0, 3, 0, 0, 3, 0, 3, 0], [3, 0, 3, 0, 3, 3, 3, 0, 0, 3, 3, 3, 0, 3, 0], [3, 3, 0, 3, 0, 0, 0, 0, 0, 3, 0, 3, 0, 0, 0], [3, 3, 3, 0, 3, 3, 0, 3, 3, 0, 3, 0, 0, 0, 0], [0, 3, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 0, 3, 3, 0, 0, 3, 3, 3, 0, 0, 3, 0, 0], [3, 0, 0, 0, 3, 0, 0, 3, 3, 3, 3, 0, 3, 0, 0], [3, 3, 0, 3, 0, 0, 0, 0, 0, 0, 0, 3, 0, 3, 0], [0, 3, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3], [0, 0, 0, 0, 0, 3, 0, 3, 3, 3, 0, 0, 0, 0, 0], [3, 3, 0, 3, 0, 0, 3, 3, 3, 0, 0, 3, 0, 3, 3], [0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 3, 3, 0, 3, 3]]\nExample input-output arrays:\n[[0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1], [1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0], [1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0], [0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1], [1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1], [0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0], [0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1], [0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1], [1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1], [1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0], [0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1], [1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1], [1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1], [0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1], [0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1], [5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0], [0, 0, 5, 5, 5, 5, 5, 5, 0, 5, 5, 5, 5, 0, 5], [0, 0, 5, 0, 5, 5, 0, 0, 5, 0, 5, 5, 5, 5, 5], [0, 0, 0, 5, 5, 5, 5, 0, 5, 0, 5, 0, 0, 0, 5], [5, 5, 0, 5, 5, 0, 0, 0, 0, 5, 5, 0, 5, 5, 0], [5, 0, 0, 0, 0, 5, 0, 5, 5, 5, 0, 0, 5, 5, 5], [5, 0, 0, 5, 5, 0, 5, 0, 5, 5, 0, 0, 0, 5, 0], [0, 5, 5, 0, 5, 5, 5, 5, 0, 0, 5, 0, 0, 5, 0], [0, 0, 5, 0, 5, 0, 5, 0, 5, 5, 5, 5, 5, 0, 0], [0, 5, 0, 5, 5, 0, 5, 0, 5, 5, 0, 5, 5, 5, 0], [0, 5, 5, 5, 5, 5, 0, 0, 0, 5, 5, 0, 0, 5, 0], [5, 5, 5, 5, 0, 5, 5, 0, 0, 5, 0, 0, 5, 5, 5], [0, 5, 0, 5, 5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 0], [5, 5, 0, 0, 0, 0, 5, 0, 0, 5, 0, 5, 5, 5, 0], [5, 0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0], [2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2], [0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0], [0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2], [2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2], [0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2], [0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2], [0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0], [0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2], [0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2], [0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2], [2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0], [0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0], [2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2]] -> [[3, 3, 0, 3, 3, 3, 0, 0, 3, 0, 3, 0, 0, 3, 3], [0, 3, 3, 3, 3, 0, 3, 0, 0, 0, 3, 3, 0, 3, 0], [0, 0, 0, 3, 0, 3, 0, 3, 3, 3, 0, 3, 3, 3, 3], [3, 3, 3, 3, 3, 0, 3, 3, 0, 3, 0, 3, 3, 0, 0], [0, 0, 3, 3, 0, 0, 0, 0, 3, 0, 3, 3, 3, 0, 3], [0, 0, 3, 0, 0, 0, 3, 3, 3, 3, 3, 0, 3, 3, 3], [0, 0, 0, 3, 3, 3, 0, 3, 3, 0, 0, 0, 3, 3, 3], [0, 3, 0, 3, 3, 3, 3, 0, 0, 3, 3, 0, 3, 3, 0], [0, 3, 3, 3, 0, 0, 0, 0, 3, 3, 0, 3, 0, 3, 3], [0, 0, 3, 0, 3, 3, 0, 3, 3, 0, 3, 0, 0, 3, 3], [0, 0, 3, 0, 3, 0, 3, 0, 0, 3, 0, 0, 0, 3, 0], [3, 0, 0, 0, 3, 0, 3, 0, 0, 0, 0, 3, 0, 0, 0], [3, 3, 0, 3, 3, 0, 0, 3, 0, 3, 3, 3, 3, 3, 0], [0, 3, 3, 0, 0, 3, 3, 0, 3, 3, 0, 3, 3, 3, 0], [3, 3, 0, 0, 3, 3, 0, 0, 0, 3, 0, 0, 0, 3, 3]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1], [1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0], [1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0], [0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1], [1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1], [0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0], [0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1], [0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1], [1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1], [1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0], [0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1], [1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1], [1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1], [0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1], [0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1], [6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0], [0, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 6, 6, 0, 6], [0, 0, 6, 0, 6, 6, 0, 0, 6, 0, 6, 6, 6, 6, 6], [0, 0, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0, 0, 0, 6], [6, 6, 0, 6, 6, 0, 0, 0, 0, 6, 6, 0, 6, 6, 0], [6, 0, 0, 0, 0, 6, 0, 6, 6, 6, 0, 0, 6, 6, 6], [6, 0, 0, 6, 6, 0, 6, 0, 6, 6, 0, 0, 0, 6, 0], [0, 6, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 0, 6, 0], [0, 0, 6, 0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 0, 0], [0, 6, 0, 6, 6, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0], [0, 6, 6, 6, 6, 6, 0, 0, 0, 6, 6, 0, 0, 6, 0], [6, 6, 6, 6, 0, 6, 6, 0, 0, 6, 0, 0, 6, 6, 6], [0, 6, 0, 6, 6, 0, 6, 6, 6, 6, 6, 0, 6, 0, 0], [6, 6, 0, 0, 0, 0, 6, 0, 0, 6, 0, 6, 6, 6, 0], [6, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0], [2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2], [0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0], [0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2], [2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2], [0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2], [0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2], [0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0], [0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2], [0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2], [0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2], [2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0], [0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0], [2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2]] -> ",
+                "test": {
+                    "input": [
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+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            2,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2
+                        ]
+                    ],
+                    "output": [
+                        [
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3
+                        ],
+                        [
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3
+                        ],
+                        [
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0
+                        ],
+                        [
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0
+                        ],
+                        [
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0
+                        ],
+                        [
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0
+                        ],
+                        [
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3
+                        ]
+                    ]
+                }
+            }
+        }
+    },
+    "SCMtcbq!and!xor!20x20": {
+        "L1": {
+            "Replicate 0": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[5, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 5, 0, 5, 0, 0, 0, 0, 5, 0], [0, 0, 0, 5, 0, 5, 0, 0, 0, 5, 5, 0, 5, 5, 5, 0, 5, 5, 5, 0], [5, 0, 0, 0, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 0, 0, 5, 5, 5, 0], [0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 5, 5, 0], [5, 5, 5, 0, 0, 0, 0, 5, 0, 0, 0, 5, 5, 0, 5, 5, 5, 0, 0, 5], [0, 0, 5, 5, 0, 5, 0, 5, 0, 0, 0, 0, 5, 0, 5, 5, 5, 0, 5, 0], [0, 5, 5, 5, 0, 5, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 0, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 5, 5, 0, 5, 0, 0, 5, 5, 0, 0], [0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 5, 5, 5, 5, 0, 0], [5, 5, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 5, 5, 5], [0, 0, 0, 0, 5, 5, 0, 5, 5, 0, 5, 5, 0, 0, 0, 0, 5, 5, 0, 0], [0, 5, 5, 5, 5, 5, 5, 0, 5, 0, 0, 5, 5, 0, 0, 5, 0, 5, 0, 5], [0, 5, 0, 5, 5, 5, 5, 5, 5, 0, 5, 5, 0, 0, 5, 0, 0, 5, 0, 5], [0, 0, 0, 5, 0, 0, 5, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 0, 0, 0], [0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 5, 5, 5, 5, 5, 5, 0, 5, 5], [5, 5, 0, 0, 5, 0, 5, 5, 5, 5, 0, 5, 0, 5, 0, 5, 0, 0, 0, 5], [0, 5, 5, 5, 0, 5, 5, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 5], [0, 0, 0, 0, 5, 5, 5, 5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 5, 0, 5], [0, 5, 5, 0, 0, 5, 5, 0, 0, 5, 0, 5, 0, 5, 5, 5, 5, 5, 0, 0], [5, 5, 5, 5, 0, 0, 5, 0, 0, 0, 5, 0, 5, 5, 5, 5, 5, 5, 5, 0], [0, 0, 9, 9, 9, 0, 9, 0, 0, 0, 9, 0, 0, 0, 0, 9, 0, 9, 9, 0], [9, 9, 0, 0, 0, 9, 9, 0, 0, 0, 0, 9, 0, 9, 0, 0, 9, 0, 0, 0], [9, 9, 0, 9, 0, 0, 0, 9, 0, 9, 0, 0, 0, 0, 9, 9, 0, 9, 9, 0], [0, 0, 9, 0, 0, 0, 9, 0, 0, 9, 9, 9, 0, 9, 0, 0, 0, 0, 0, 9], [0, 0, 0, 0, 9, 0, 0, 9, 0, 9, 9, 0, 9, 0, 9, 9, 0, 0, 9, 9], [9, 9, 0, 9, 9, 9, 0, 0, 9, 0, 9, 0, 9, 9, 9, 0, 9, 0, 0, 9], [9, 9, 9, 9, 0, 9, 9, 0, 9, 9, 9, 9, 0, 9, 9, 9, 9, 0, 0, 9], [9, 9, 9, 9, 9, 0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 0, 0, 0, 9], [9, 9, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 0, 0, 9, 9, 0, 0, 9], [0, 0, 0, 9, 0, 0, 9, 0, 0, 0, 9, 9, 0, 0, 9, 0, 9, 0, 0, 0], [0, 0, 0, 0, 9, 0, 9, 0, 0, 0, 9, 9, 0, 0, 9, 9, 9, 9, 9, 9], [0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 9, 0, 9, 9, 0, 0], [0, 9, 0, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 0, 9, 0, 9, 9, 0], [0, 9, 9, 9, 9, 0, 9, 9, 9, 9, 9, 9, 9, 0, 9, 9, 0, 9, 9, 9], [0, 0, 9, 9, 9, 9, 0, 0, 9, 9, 9, 0, 9, 0, 0, 0, 9, 0, 0, 0], [9, 9, 0, 0, 0, 9, 0, 0, 0, 0, 0, 9, 9, 9, 9, 9, 0, 0, 9, 0], [0, 9, 9, 9, 0, 0, 9, 0, 9, 9, 0, 9, 0, 0, 9, 0, 9, 0, 0, 9], [0, 9, 0, 0, 0, 9, 9, 9, 9, 0, 0, 0, 0, 9, 9, 9, 0, 9, 0, 9], [0, 0, 0, 9, 9, 9, 0, 9, 0, 9, 0, 9, 9, 0, 0, 0, 9, 0, 9, 9], [0, 9, 9, 9, 9, 0, 0, 0, 9, 0, 0, 9, 9, 0, 9, 9, 0, 0, 0, 0], [6, 6, 0, 0, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 0, 6, 0, 0, 0], [6, 6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 6, 0, 6, 0, 6, 0, 6], [6, 0, 6, 6, 0, 0, 0, 0, 6, 0, 6, 6, 0, 6, 0, 6, 6, 0, 6, 0], [6, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 6, 0], [6, 6, 0, 6, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 6, 0, 0, 6, 0, 0], [6, 6, 6, 0, 6, 6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 0], [0, 6, 0, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 0, 6, 6, 6, 0, 6, 0], [6, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6], [6, 0, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0, 6, 0, 6, 6, 6, 0, 6, 6], [0, 6, 6, 6, 0, 0, 6, 6, 0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6, 0], [0, 6, 6, 0, 6, 0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6], [6, 0, 0, 0, 6, 6, 0, 6, 0, 0, 0, 0, 6, 0, 6, 6, 0, 6, 0, 0], [6, 6, 6, 6, 6, 0, 0, 6, 6, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0], [0, 6, 0, 0, 0, 0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 6, 6, 6, 6, 0], [0, 0, 6, 0, 6, 0, 0, 0, 6, 0, 0, 6, 6, 0, 0, 6, 0, 6, 0, 0], [0, 6, 6, 6, 0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 6], [0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 6, 6, 0, 6, 0, 6], [6, 0, 0, 6, 0, 6, 0, 6, 0, 6, 6, 0, 6, 0, 0, 0, 6, 6, 6, 0], [0, 0, 6, 0, 6, 6, 6, 0, 0, 6, 0, 0, 0, 6, 6, 0, 6, 0, 0, 6], [0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 6]] -> [[7, 7, 0, 0, 7, 7, 0, 0, 7, 7, 7, 7, 7, 7, 0, 0, 7, 0, 7, 0], [7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 0, 0, 0, 7, 7, 7, 0, 7], [0, 0, 7, 7, 0, 0, 0, 7, 7, 0, 7, 7, 0, 7, 0, 7, 7, 7, 0, 0], [7, 0, 7, 7, 0, 7, 7, 0, 0, 0, 0, 0, 7, 0, 7, 7, 0, 0, 7, 0], [7, 7, 0, 7, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 0, 7, 0, 7, 0, 7], [7, 7, 7, 7, 7, 0, 7, 7, 7, 0, 7, 7, 0, 0, 0, 7, 7, 0, 0, 0], [0, 0, 7, 0, 7, 7, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7, 7, 0, 7, 7], [0, 7, 0, 7, 7, 7, 7, 0, 7, 0, 7, 7, 7, 7, 0, 7, 7, 7, 0, 7], [7, 0, 7, 0, 7, 7, 7, 0, 0, 0, 0, 7, 7, 0, 7, 0, 0, 0, 7, 7], [0, 7, 7, 7, 0, 0, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 0, 7, 7, 0], [0, 7, 7, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 7, 0, 0, 7], [7, 0, 7, 0, 7, 7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7, 0, 0, 0, 0], [7, 0, 7, 7, 0, 0, 7, 7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 7, 0, 0], [0, 7, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7, 7, 7, 7, 7, 0], [0, 0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 7, 7, 7, 0, 0], [7, 0, 7, 7, 0, 0, 7, 7, 0, 0, 0, 0, 7, 7, 0, 7, 7, 7, 0, 7], [0, 7, 0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 7, 7, 0, 7, 0, 0], [7, 0, 0, 7, 0, 0, 7, 0, 7, 7, 7, 0, 7, 0, 0, 0, 7, 0, 7, 7], [0, 0, 7, 0, 7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7, 0, 0, 0, 0, 7], [0, 7, 7, 7, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 0, 0, 7]]\nExample input-output arrays:\n[[5, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 5, 0, 5, 0, 0, 0, 0, 5, 0], [0, 0, 0, 5, 0, 5, 0, 0, 0, 5, 5, 0, 5, 5, 5, 0, 5, 5, 5, 0], [5, 0, 0, 0, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 0, 0, 5, 5, 5, 0], [0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 5, 5, 0], [5, 5, 5, 0, 0, 0, 0, 5, 0, 0, 0, 5, 5, 0, 5, 5, 5, 0, 0, 5], [0, 0, 5, 5, 0, 5, 0, 5, 0, 0, 0, 0, 5, 0, 5, 5, 5, 0, 5, 0], [0, 5, 5, 5, 0, 5, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 0, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 5, 5, 0, 5, 0, 0, 5, 5, 0, 0], [0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 5, 5, 5, 5, 0, 0], [5, 5, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 5, 5, 5], [0, 0, 0, 0, 5, 5, 0, 5, 5, 0, 5, 5, 0, 0, 0, 0, 5, 5, 0, 0], [0, 5, 5, 5, 5, 5, 5, 0, 5, 0, 0, 5, 5, 0, 0, 5, 0, 5, 0, 5], [0, 5, 0, 5, 5, 5, 5, 5, 5, 0, 5, 5, 0, 0, 5, 0, 0, 5, 0, 5], [0, 0, 0, 5, 0, 0, 5, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 0, 0, 0], [0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 5, 5, 5, 5, 5, 5, 0, 5, 5], [5, 5, 0, 0, 5, 0, 5, 5, 5, 5, 0, 5, 0, 5, 0, 5, 0, 0, 0, 5], [0, 5, 5, 5, 0, 5, 5, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 5], [0, 0, 0, 0, 5, 5, 5, 5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 5, 0, 5], [0, 5, 5, 0, 0, 5, 5, 0, 0, 5, 0, 5, 0, 5, 5, 5, 5, 5, 0, 0], [5, 5, 5, 5, 0, 0, 5, 0, 0, 0, 5, 0, 5, 5, 5, 5, 5, 5, 5, 0], [0, 0, 9, 9, 9, 0, 9, 0, 0, 0, 9, 0, 0, 0, 0, 9, 0, 9, 9, 0], [9, 9, 0, 0, 0, 9, 9, 0, 0, 0, 0, 9, 0, 9, 0, 0, 9, 0, 0, 0], [9, 9, 0, 9, 0, 0, 0, 9, 0, 9, 0, 0, 0, 0, 9, 9, 0, 9, 9, 0], [0, 0, 9, 0, 0, 0, 9, 0, 0, 9, 9, 9, 0, 9, 0, 0, 0, 0, 0, 9], [0, 0, 0, 0, 9, 0, 0, 9, 0, 9, 9, 0, 9, 0, 9, 9, 0, 0, 9, 9], [9, 9, 0, 9, 9, 9, 0, 0, 9, 0, 9, 0, 9, 9, 9, 0, 9, 0, 0, 9], [9, 9, 9, 9, 0, 9, 9, 0, 9, 9, 9, 9, 0, 9, 9, 9, 9, 0, 0, 9], [9, 9, 9, 9, 9, 0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 0, 0, 0, 9], [9, 9, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 0, 0, 9, 9, 0, 0, 9], [0, 0, 0, 9, 0, 0, 9, 0, 0, 0, 9, 9, 0, 0, 9, 0, 9, 0, 0, 0], [0, 0, 0, 0, 9, 0, 9, 0, 0, 0, 9, 9, 0, 0, 9, 9, 9, 9, 9, 9], [0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 9, 0, 9, 9, 0, 0], [0, 9, 0, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 0, 9, 0, 9, 9, 0], [0, 9, 9, 9, 9, 0, 9, 9, 9, 9, 9, 9, 9, 0, 9, 9, 0, 9, 9, 9], [0, 0, 9, 9, 9, 9, 0, 0, 9, 9, 9, 0, 9, 0, 0, 0, 9, 0, 0, 0], [9, 9, 0, 0, 0, 9, 0, 0, 0, 0, 0, 9, 9, 9, 9, 9, 0, 0, 9, 0], [0, 9, 9, 9, 0, 0, 9, 0, 9, 9, 0, 9, 0, 0, 9, 0, 9, 0, 0, 9], [0, 9, 0, 0, 0, 9, 9, 9, 9, 0, 0, 0, 0, 9, 9, 9, 0, 9, 0, 9], [0, 0, 0, 9, 9, 9, 0, 9, 0, 9, 0, 9, 9, 0, 0, 0, 9, 0, 9, 9], [0, 9, 9, 9, 9, 0, 0, 0, 9, 0, 0, 9, 9, 0, 9, 9, 0, 0, 0, 0], [6, 6, 0, 0, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 0, 6, 0, 0, 0], [6, 6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 6, 0, 6, 0, 6, 0, 6], [6, 0, 6, 6, 0, 0, 0, 0, 6, 0, 6, 6, 0, 6, 0, 6, 6, 0, 6, 0], [6, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 6, 0], [6, 6, 0, 6, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 6, 0, 0, 6, 0, 0], [6, 6, 6, 0, 6, 6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 0], [0, 6, 0, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 0, 6, 6, 6, 0, 6, 0], [6, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6], [6, 0, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0, 6, 0, 6, 6, 6, 0, 6, 6], [0, 6, 6, 6, 0, 0, 6, 6, 0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6, 0], [0, 6, 6, 0, 6, 0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6], [6, 0, 0, 0, 6, 6, 0, 6, 0, 0, 0, 0, 6, 0, 6, 6, 0, 6, 0, 0], [6, 6, 6, 6, 6, 0, 0, 6, 6, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0], [0, 6, 0, 0, 0, 0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 6, 6, 6, 6, 0], [0, 0, 6, 0, 6, 0, 0, 0, 6, 0, 0, 6, 6, 0, 0, 6, 0, 6, 0, 0], [0, 6, 6, 6, 0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 6], [0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 6, 6, 0, 6, 0, 6], [6, 0, 0, 6, 0, 6, 0, 6, 0, 6, 6, 0, 6, 0, 0, 0, 6, 6, 6, 0], [0, 0, 6, 0, 6, 6, 6, 0, 0, 6, 0, 0, 0, 6, 6, 0, 6, 0, 0, 6], [0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 6]] -> [[7, 7, 0, 0, 7, 7, 0, 0, 7, 7, 7, 7, 7, 7, 0, 0, 7, 0, 7, 0], [7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 0, 0, 0, 7, 7, 7, 0, 7], [0, 0, 7, 7, 0, 0, 0, 7, 7, 0, 7, 7, 0, 7, 0, 7, 7, 7, 0, 0], [7, 0, 7, 7, 0, 7, 7, 0, 0, 0, 0, 0, 7, 0, 7, 7, 0, 0, 7, 0], [7, 7, 0, 7, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 0, 7, 0, 7, 0, 7], [7, 7, 7, 7, 7, 0, 7, 7, 7, 0, 7, 7, 0, 0, 0, 7, 7, 0, 0, 0], [0, 0, 7, 0, 7, 7, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7, 7, 0, 7, 7], [0, 7, 0, 7, 7, 7, 7, 0, 7, 0, 7, 7, 7, 7, 0, 7, 7, 7, 0, 7], [7, 0, 7, 0, 7, 7, 7, 0, 0, 0, 0, 7, 7, 0, 7, 0, 0, 0, 7, 7], [0, 7, 7, 7, 0, 0, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 0, 7, 7, 0], [0, 7, 7, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 7, 0, 0, 7], [7, 0, 7, 0, 7, 7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7, 0, 0, 0, 0], [7, 0, 7, 7, 0, 0, 7, 7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 7, 0, 0], [0, 7, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7, 7, 7, 7, 7, 0], [0, 0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 7, 7, 7, 0, 0], [7, 0, 7, 7, 0, 0, 7, 7, 0, 0, 0, 0, 7, 7, 0, 7, 7, 7, 0, 7], [0, 7, 0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 7, 7, 0, 7, 0, 0], [7, 0, 0, 7, 0, 0, 7, 0, 7, 7, 7, 0, 7, 0, 0, 0, 7, 0, 7, 7], [0, 0, 7, 0, 7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7, 0, 0, 0, 0, 7], [0, 7, 7, 7, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 0, 0, 7]]\nExample input-output arrays:\n[[5, 0, 5, 5, 0, 0, 0, 5, 5, 5, 0, 5, 0, 5, 0, 5, 0, 0, 5, 0], [5, 0, 5, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0, 5, 0, 0, 5, 5], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 5, 0, 0, 0, 0, 5, 5, 5], [5, 0, 5, 0, 5, 5, 5, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 5, 0, 5], [5, 0, 0, 0, 5, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 5, 5, 5, 5], [5, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 5, 0, 0, 5, 0, 5, 5, 0, 0], [5, 5, 5, 0, 0, 5, 5, 0, 0, 5, 5, 0, 5, 5, 0, 5, 0, 5, 5, 0], [5, 5, 0, 5, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 5, 0, 5, 5, 5, 5], [0, 0, 0, 5, 0, 0, 5, 5, 5, 0, 5, 0, 0, 5, 5, 5, 0, 0, 5, 0], [5, 0, 0, 5, 5, 0, 5, 5, 5, 0, 0, 5, 0, 5, 0, 0, 5, 0, 0, 0], [5, 5, 0, 0, 0, 5, 5, 0, 5, 0, 0, 5, 5, 0, 0, 5, 0, 5, 5, 5], [0, 5, 0, 0, 0, 5, 0, 0, 5, 5, 0, 5, 0, 0, 5, 0, 0, 5, 5, 0], [5, 5, 0, 0, 5, 0, 0, 0, 5, 5, 5, 5, 0, 5, 5, 0, 0, 5, 5, 5], [5, 0, 0, 5, 0, 0, 0, 5, 5, 0, 5, 5, 5, 0, 0, 5, 0, 5, 5, 0], [0, 5, 5, 5, 0, 0, 5, 0, 5, 0, 0, 5, 5, 5, 5, 0, 5, 5, 5, 0], [5, 0, 0, 5, 5, 5, 0, 5, 0, 5, 5, 5, 0, 5, 0, 5, 0, 5, 5, 5], [5, 0, 5, 5, 0, 0, 0, 5, 0, 5, 0, 0, 0, 5, 5, 0, 5, 5, 5, 5], [5, 0, 0, 5, 5, 5, 5, 5, 5, 5, 0, 0, 0, 0, 0, 5, 5, 5, 0, 5], [0, 5, 0, 0, 5, 5, 5, 0, 5, 0, 5, 0, 0, 5, 0, 0, 5, 5, 5, 5], [0, 5, 5, 5, 0, 0, 0, 5, 0, 5, 5, 5, 0, 5, 5, 0, 5, 0, 0, 5], [0, 9, 0, 9, 9, 9, 9, 9, 0, 9, 9, 9, 0, 9, 0, 9, 9, 9, 0, 0], [0, 0, 0, 0, 0, 9, 9, 9, 9, 9, 9, 9, 0, 9, 9, 9, 9, 9, 9, 9], [0, 0, 0, 0, 9, 0, 0, 9, 9, 9, 9, 0, 0, 9, 0, 9, 0, 0, 9, 9], [0, 0, 9, 9, 9, 0, 9, 0, 0, 9, 9, 9, 0, 9, 0, 9, 0, 9, 0, 0], [9, 9, 0, 9, 9, 0, 9, 9, 9, 9, 0, 0, 9, 0, 9, 0, 9, 0, 0, 9], [0, 0, 0, 9, 0, 0, 9, 0, 9, 9, 0, 0, 9, 9, 9, 9, 0, 9, 9, 0], [0, 0, 0, 9, 0, 0, 0, 0, 9, 0, 0, 0, 0, 9, 0, 0, 9, 0, 9, 0], [0, 9, 0, 0, 0, 0, 9, 0, 0, 9, 0, 0, 0, 0, 9, 9, 9, 9, 9, 9], [0, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0, 0, 9, 9, 0, 0, 0, 9, 0, 0], [9, 0, 9, 0, 0, 9, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0, 0, 9, 0, 9], [9, 0, 9, 0, 9, 0, 0, 9, 9, 9, 9, 0, 9, 9, 9, 0, 9, 0, 9, 9], [9, 0, 9, 0, 9, 0, 0, 9, 9, 0, 0, 0, 0, 0, 9, 9, 0, 0, 0, 9], [9, 9, 9, 9, 9, 0, 9, 0, 0, 9, 9, 9, 9, 9, 9, 0, 9, 9, 9, 0], [0, 0, 0, 0, 0, 9, 9, 9, 0, 0, 9, 9, 0, 9, 9, 0, 9, 0, 0, 9], [0, 9, 0, 0, 9, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 0], [9, 9, 9, 0, 0, 0, 0, 0, 9, 0, 9, 0, 0, 0, 0, 0, 9, 9, 9, 0], [0, 0, 9, 0, 9, 9, 0, 9, 9, 0, 0, 9, 9, 9, 0, 9, 0, 0, 0, 9], [0, 9, 9, 0, 0, 0, 9, 0, 0, 9, 9, 9, 0, 9, 9, 0, 9, 0, 9, 9], [9, 9, 9, 9, 9, 0, 9, 9, 9, 0, 9, 0, 0, 0, 0, 0, 9, 9, 0, 9], [9, 9, 9, 0, 0, 0, 9, 9, 9, 0, 9, 0, 0, 0, 9, 9, 0, 0, 9, 0], [6, 0, 0, 6, 0, 0, 6, 6, 6, 6, 0, 0, 6, 0, 0, 0, 0, 0, 6, 6], [0, 6, 0, 0, 0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 0, 6, 0, 0, 6, 6], [6, 6, 6, 6, 6, 0, 0, 6, 6, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 0], [0, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6], [0, 6, 6, 0, 6, 6, 0, 6, 6, 0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 0], [6, 6, 0, 6, 0, 0, 6, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 0], [6, 0, 0, 0, 6, 6, 0, 6, 6, 0, 6, 0, 0, 6, 6, 0, 6, 6, 6, 6], [6, 6, 0, 6, 6, 6, 6, 6, 0, 0, 6, 0, 0, 6, 0, 6, 0, 0, 0, 6], [6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 0, 0], [0, 0, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 6, 0, 6, 0, 6, 6, 0, 6], [0, 6, 0, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 0, 0, 0, 0, 0, 6, 6], [0, 0, 0, 6, 0, 0, 6, 6, 0, 0, 0, 0, 0, 6, 6, 6, 0, 6, 0, 0], [6, 0, 6, 6, 6, 0, 6, 6, 0, 6, 0, 0, 6, 6, 6, 6, 6, 6, 0, 0], [6, 0, 0, 6, 6, 0, 6, 0, 6, 6, 0, 0, 0, 6, 0, 6, 6, 0, 6, 0], [6, 6, 0, 0, 6, 0, 6, 0, 6, 6, 0, 6, 0, 0, 0, 0, 0, 6, 0, 6], [6, 6, 6, 6, 0, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 0, 6, 0, 6], [0, 0, 6, 0, 6, 6, 6, 0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 0, 0, 0], [0, 0, 6, 0, 6, 0, 6, 6, 6, 0, 0, 6, 0, 6, 0, 6, 6, 0, 0, 0], [6, 6, 0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6, 0], [0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 6, 0]] -> [[7, 0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 7, 7, 7, 0, 7, 0, 0, 7, 7], [0, 7, 0, 0, 0, 7, 0, 0, 7, 7, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0], [7, 7, 7, 7, 0, 0, 0, 7, 7, 0, 0, 7, 7, 0, 7, 0, 7, 7, 0, 7], [0, 0, 0, 7, 0, 7, 7, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 7, 7], [7, 7, 7, 0, 0, 7, 7, 0, 0, 7, 7, 7, 7, 7, 0, 7, 7, 0, 0, 7], [7, 7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7, 0, 0, 7, 0, 0, 7, 7, 0], [7, 0, 0, 0, 7, 7, 0, 7, 7, 0, 7, 0, 0, 0, 7, 0, 7, 7, 0, 7], [7, 0, 0, 7, 7, 7, 7, 7, 0, 7, 7, 0, 0, 7, 7, 7, 7, 7, 7, 0], [7, 7, 0, 0, 0, 7, 7, 7, 0, 7, 7, 0, 0, 0, 7, 7, 7, 0, 0, 0], [7, 0, 7, 0, 0, 0, 0, 0, 7, 0, 0, 7, 7, 0, 7, 0, 7, 7, 0, 7], [7, 7, 0, 0, 7, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 7, 0, 0, 7, 7, 7, 0, 0, 0, 0, 7, 0, 7, 0, 7, 0, 0], [0, 7, 7, 7, 0, 0, 7, 7, 0, 0, 7, 7, 7, 0, 0, 7, 7, 0, 7, 0], [7, 0, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 0, 7, 7, 0, 7, 0], [7, 0, 0, 0, 7, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7], [0, 7, 7, 7, 0, 7, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 0, 0, 7, 7], [0, 0, 0, 0, 7, 7, 7, 7, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7], [0, 0, 7, 0, 7, 0, 0, 7, 7, 7, 0, 7, 0, 7, 0, 7, 0, 0, 0, 7], [7, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 7, 7, 7, 7], [0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[5, 0, 5, 5, 0, 0, 0, 5, 5, 5, 0, 5, 0, 5, 0, 5, 0, 0, 5, 0], [5, 0, 5, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0, 5, 0, 0, 5, 5], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 5, 0, 0, 0, 0, 5, 5, 5], [5, 0, 5, 0, 5, 5, 5, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 5, 0, 5], [5, 0, 0, 0, 5, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 5, 5, 5, 5], [5, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 5, 0, 0, 5, 0, 5, 5, 0, 0], [5, 5, 5, 0, 0, 5, 5, 0, 0, 5, 5, 0, 5, 5, 0, 5, 0, 5, 5, 0], [5, 5, 0, 5, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 5, 0, 5, 5, 5, 5], [0, 0, 0, 5, 0, 0, 5, 5, 5, 0, 5, 0, 0, 5, 5, 5, 0, 0, 5, 0], [5, 0, 0, 5, 5, 0, 5, 5, 5, 0, 0, 5, 0, 5, 0, 0, 5, 0, 0, 0], [5, 5, 0, 0, 0, 5, 5, 0, 5, 0, 0, 5, 5, 0, 0, 5, 0, 5, 5, 5], [0, 5, 0, 0, 0, 5, 0, 0, 5, 5, 0, 5, 0, 0, 5, 0, 0, 5, 5, 0], [5, 5, 0, 0, 5, 0, 0, 0, 5, 5, 5, 5, 0, 5, 5, 0, 0, 5, 5, 5], [5, 0, 0, 5, 0, 0, 0, 5, 5, 0, 5, 5, 5, 0, 0, 5, 0, 5, 5, 0], [0, 5, 5, 5, 0, 0, 5, 0, 5, 0, 0, 5, 5, 5, 5, 0, 5, 5, 5, 0], [5, 0, 0, 5, 5, 5, 0, 5, 0, 5, 5, 5, 0, 5, 0, 5, 0, 5, 5, 5], [5, 0, 5, 5, 0, 0, 0, 5, 0, 5, 0, 0, 0, 5, 5, 0, 5, 5, 5, 5], [5, 0, 0, 5, 5, 5, 5, 5, 5, 5, 0, 0, 0, 0, 0, 5, 5, 5, 0, 5], [0, 5, 0, 0, 5, 5, 5, 0, 5, 0, 5, 0, 0, 5, 0, 0, 5, 5, 5, 5], [0, 5, 5, 5, 0, 0, 0, 5, 0, 5, 5, 5, 0, 5, 5, 0, 5, 0, 0, 5], [0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0], [0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1], [0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1], [0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0], [1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1], [0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0], [0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0], [0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1], [0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0], [1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1], [1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1], [1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1], [1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0], [0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1], [0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0], [1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0], [0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1], [0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1], [1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1], [1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0], [6, 0, 0, 6, 0, 0, 6, 6, 6, 6, 0, 0, 6, 0, 0, 0, 0, 0, 6, 6], [0, 6, 0, 0, 0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 0, 6, 0, 0, 6, 6], [6, 6, 6, 6, 6, 0, 0, 6, 6, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 0], [0, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6], [0, 6, 6, 0, 6, 6, 0, 6, 6, 0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 0], [6, 6, 0, 6, 0, 0, 6, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 0], [6, 0, 0, 0, 6, 6, 0, 6, 6, 0, 6, 0, 0, 6, 6, 0, 6, 6, 6, 6], [6, 6, 0, 6, 6, 6, 6, 6, 0, 0, 6, 0, 0, 6, 0, 6, 0, 0, 0, 6], [6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 0, 0], [0, 0, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 6, 0, 6, 0, 6, 6, 0, 6], [0, 6, 0, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 0, 0, 0, 0, 0, 6, 6], [0, 0, 0, 6, 0, 0, 6, 6, 0, 0, 0, 0, 0, 6, 6, 6, 0, 6, 0, 0], [6, 0, 6, 6, 6, 0, 6, 6, 0, 6, 0, 0, 6, 6, 6, 6, 6, 6, 0, 0], [6, 0, 0, 6, 6, 0, 6, 0, 6, 6, 0, 0, 0, 6, 0, 6, 6, 0, 6, 0], [6, 6, 0, 0, 6, 0, 6, 0, 6, 6, 0, 6, 0, 0, 0, 0, 0, 6, 0, 6], [6, 6, 6, 6, 0, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 0, 6, 0, 6], [0, 0, 6, 0, 6, 6, 6, 0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 0, 0, 0], [0, 0, 6, 0, 6, 0, 6, 6, 6, 0, 0, 6, 0, 6, 0, 6, 6, 0, 0, 0], [6, 6, 0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6, 0], [0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 6, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            5,
+                            0,
+                            5,
+                            5,
+                            0,
+                            0,
+                            0,
+                            5,
+                            5,
+                            5,
+                            0,
+                            5,
+                            0,
+                            5,
+                            0,
+                            5,
+                            0,
+                            0,
+                            5,
+                            0
+                        ],
+                        [
+                            5,
+                            0,
+                            5,
+                            0,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            0,
+                            0,
+                            5,
+                            0,
+                            0,
+                            5,
+                            5
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
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+                    ],
+                    "output": [
+                        [
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+                        [
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+                }
+            },
+            "Replicate 1": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[5, 0, 5, 5, 0, 0, 0, 5, 5, 5, 0, 5, 0, 5, 0, 5, 0, 0, 5, 0], [5, 0, 5, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0, 5, 0, 0, 5, 5], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 5, 0, 0, 0, 0, 5, 5, 5], [5, 0, 5, 0, 5, 5, 5, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 5, 0, 5], [5, 0, 0, 0, 5, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 5, 5, 5, 5], [5, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 5, 0, 0, 5, 0, 5, 5, 0, 0], [5, 5, 5, 0, 0, 5, 5, 0, 0, 5, 5, 0, 5, 5, 0, 5, 0, 5, 5, 0], [5, 5, 0, 5, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 5, 0, 5, 5, 5, 5], [0, 0, 0, 5, 0, 0, 5, 5, 5, 0, 5, 0, 0, 5, 5, 5, 0, 0, 5, 0], [5, 0, 0, 5, 5, 0, 5, 5, 5, 0, 0, 5, 0, 5, 0, 0, 5, 0, 0, 0], [5, 5, 0, 0, 0, 5, 5, 0, 5, 0, 0, 5, 5, 0, 0, 5, 0, 5, 5, 5], [0, 5, 0, 0, 0, 5, 0, 0, 5, 5, 0, 5, 0, 0, 5, 0, 0, 5, 5, 0], [5, 5, 0, 0, 5, 0, 0, 0, 5, 5, 5, 5, 0, 5, 5, 0, 0, 5, 5, 5], [5, 0, 0, 5, 0, 0, 0, 5, 5, 0, 5, 5, 5, 0, 0, 5, 0, 5, 5, 0], [0, 5, 5, 5, 0, 0, 5, 0, 5, 0, 0, 5, 5, 5, 5, 0, 5, 5, 5, 0], [5, 0, 0, 5, 5, 5, 0, 5, 0, 5, 5, 5, 0, 5, 0, 5, 0, 5, 5, 5], [5, 0, 5, 5, 0, 0, 0, 5, 0, 5, 0, 0, 0, 5, 5, 0, 5, 5, 5, 5], [5, 0, 0, 5, 5, 5, 5, 5, 5, 5, 0, 0, 0, 0, 0, 5, 5, 5, 0, 5], [0, 5, 0, 0, 5, 5, 5, 0, 5, 0, 5, 0, 0, 5, 0, 0, 5, 5, 5, 5], [0, 5, 5, 5, 0, 0, 0, 5, 0, 5, 5, 5, 0, 5, 5, 0, 5, 0, 0, 5], [0, 9, 0, 9, 9, 9, 9, 9, 0, 9, 9, 9, 0, 9, 0, 9, 9, 9, 0, 0], [0, 0, 0, 0, 0, 9, 9, 9, 9, 9, 9, 9, 0, 9, 9, 9, 9, 9, 9, 9], [0, 0, 0, 0, 9, 0, 0, 9, 9, 9, 9, 0, 0, 9, 0, 9, 0, 0, 9, 9], [0, 0, 9, 9, 9, 0, 9, 0, 0, 9, 9, 9, 0, 9, 0, 9, 0, 9, 0, 0], [9, 9, 0, 9, 9, 0, 9, 9, 9, 9, 0, 0, 9, 0, 9, 0, 9, 0, 0, 9], [0, 0, 0, 9, 0, 0, 9, 0, 9, 9, 0, 0, 9, 9, 9, 9, 0, 9, 9, 0], [0, 0, 0, 9, 0, 0, 0, 0, 9, 0, 0, 0, 0, 9, 0, 0, 9, 0, 9, 0], [0, 9, 0, 0, 0, 0, 9, 0, 0, 9, 0, 0, 0, 0, 9, 9, 9, 9, 9, 9], [0, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0, 0, 9, 9, 0, 0, 0, 9, 0, 0], [9, 0, 9, 0, 0, 9, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0, 0, 9, 0, 9], [9, 0, 9, 0, 9, 0, 0, 9, 9, 9, 9, 0, 9, 9, 9, 0, 9, 0, 9, 9], [9, 0, 9, 0, 9, 0, 0, 9, 9, 0, 0, 0, 0, 0, 9, 9, 0, 0, 0, 9], [9, 9, 9, 9, 9, 0, 9, 0, 0, 9, 9, 9, 9, 9, 9, 0, 9, 9, 9, 0], [0, 0, 0, 0, 0, 9, 9, 9, 0, 0, 9, 9, 0, 9, 9, 0, 9, 0, 0, 9], [0, 9, 0, 0, 9, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 0], [9, 9, 9, 0, 0, 0, 0, 0, 9, 0, 9, 0, 0, 0, 0, 0, 9, 9, 9, 0], [0, 0, 9, 0, 9, 9, 0, 9, 9, 0, 0, 9, 9, 9, 0, 9, 0, 0, 0, 9], [0, 9, 9, 0, 0, 0, 9, 0, 0, 9, 9, 9, 0, 9, 9, 0, 9, 0, 9, 9], [9, 9, 9, 9, 9, 0, 9, 9, 9, 0, 9, 0, 0, 0, 0, 0, 9, 9, 0, 9], [9, 9, 9, 0, 0, 0, 9, 9, 9, 0, 9, 0, 0, 0, 9, 9, 0, 0, 9, 0], [6, 0, 0, 6, 0, 0, 6, 6, 6, 6, 0, 0, 6, 0, 0, 0, 0, 0, 6, 6], [0, 6, 0, 0, 0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 0, 6, 0, 0, 6, 6], [6, 6, 6, 6, 6, 0, 0, 6, 6, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 0], [0, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6], [0, 6, 6, 0, 6, 6, 0, 6, 6, 0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 0], [6, 6, 0, 6, 0, 0, 6, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 0], [6, 0, 0, 0, 6, 6, 0, 6, 6, 0, 6, 0, 0, 6, 6, 0, 6, 6, 6, 6], [6, 6, 0, 6, 6, 6, 6, 6, 0, 0, 6, 0, 0, 6, 0, 6, 0, 0, 0, 6], [6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 0, 0], [0, 0, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 6, 0, 6, 0, 6, 6, 0, 6], [0, 6, 0, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 0, 0, 0, 0, 0, 6, 6], [0, 0, 0, 6, 0, 0, 6, 6, 0, 0, 0, 0, 0, 6, 6, 6, 0, 6, 0, 0], [6, 0, 6, 6, 6, 0, 6, 6, 0, 6, 0, 0, 6, 6, 6, 6, 6, 6, 0, 0], [6, 0, 0, 6, 6, 0, 6, 0, 6, 6, 0, 0, 0, 6, 0, 6, 6, 0, 6, 0], [6, 6, 0, 0, 6, 0, 6, 0, 6, 6, 0, 6, 0, 0, 0, 0, 0, 6, 0, 6], [6, 6, 6, 6, 0, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 0, 6, 0, 6], [0, 0, 6, 0, 6, 6, 6, 0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 0, 0, 0], [0, 0, 6, 0, 6, 0, 6, 6, 6, 0, 0, 6, 0, 6, 0, 6, 6, 0, 0, 0], [6, 6, 0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6, 0], [0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 6, 0]] -> [[7, 0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 7, 7, 7, 0, 7, 0, 0, 7, 7], [0, 7, 0, 0, 0, 7, 0, 0, 7, 7, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0], [7, 7, 7, 7, 0, 0, 0, 7, 7, 0, 0, 7, 7, 0, 7, 0, 7, 7, 0, 7], [0, 0, 0, 7, 0, 7, 7, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 7, 7], [7, 7, 7, 0, 0, 7, 7, 0, 0, 7, 7, 7, 7, 7, 0, 7, 7, 0, 0, 7], [7, 7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7, 0, 0, 7, 0, 0, 7, 7, 0], [7, 0, 0, 0, 7, 7, 0, 7, 7, 0, 7, 0, 0, 0, 7, 0, 7, 7, 0, 7], [7, 0, 0, 7, 7, 7, 7, 7, 0, 7, 7, 0, 0, 7, 7, 7, 7, 7, 7, 0], [7, 7, 0, 0, 0, 7, 7, 7, 0, 7, 7, 0, 0, 0, 7, 7, 7, 0, 0, 0], [7, 0, 7, 0, 0, 0, 0, 0, 7, 0, 0, 7, 7, 0, 7, 0, 7, 7, 0, 7], [7, 7, 0, 0, 7, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 7, 0, 0, 7, 7, 7, 0, 0, 0, 0, 7, 0, 7, 0, 7, 0, 0], [0, 7, 7, 7, 0, 0, 7, 7, 0, 0, 7, 7, 7, 0, 0, 7, 7, 0, 7, 0], [7, 0, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 0, 7, 7, 0, 7, 0], [7, 0, 0, 0, 7, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7], [0, 7, 7, 7, 0, 7, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 0, 0, 7, 7], [0, 0, 0, 0, 7, 7, 7, 7, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7], [0, 0, 7, 0, 7, 0, 0, 7, 7, 7, 0, 7, 0, 7, 0, 7, 0, 0, 0, 7], [7, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 7, 7, 7, 7], [0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7, 0]]\nExample input-output arrays:\n[[5, 5, 0, 0, 5, 5, 0, 0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 5, 5, 0], [5, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5], [5, 0, 0, 5, 0, 0, 0, 5, 0, 5, 0, 5, 0, 5, 0, 5, 5, 5, 0, 5], [0, 0, 0, 5, 5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 0], [5, 5, 5, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 5, 5], [0, 0, 5, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 0, 5, 5, 5, 0, 0, 0], [5, 0, 0, 5, 5, 5, 0, 5, 0, 5, 5, 0, 0, 0, 5, 0, 0, 0, 5, 5], [0, 0, 5, 5, 5, 5, 0, 5, 0, 5, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0], [0, 5, 5, 5, 5, 0, 5, 5, 0, 0, 0, 0, 5, 0, 5, 0, 0, 0, 0, 0], [5, 0, 5, 0, 0, 5, 0, 5, 5, 5, 0, 0, 0, 0, 5, 5, 5, 0, 0, 5], [5, 5, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 5, 0, 5, 0, 0, 5, 0, 5], [0, 0, 5, 5, 5, 5, 0, 5, 5, 5, 0, 0, 5, 5, 0, 0, 0, 5, 5, 0], [0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 0, 5, 5], [0, 0, 5, 0, 5, 5, 0, 5, 0, 5, 0, 5, 5, 0, 5, 5, 0, 5, 5, 0], [5, 0, 5, 0, 0, 5, 0, 0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 5, 5, 5], [0, 5, 5, 0, 5, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 0, 5, 0, 0, 0], [5, 0, 0, 0, 0, 0, 5, 5, 0, 5, 0, 0, 5, 0, 5, 5, 5, 5, 5, 0], [0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0, 5, 0, 5, 5, 5, 0], [0, 5, 5, 5, 0, 5, 0, 0, 5, 5, 5, 5, 5, 0, 0, 5, 5, 5, 0, 5], [0, 0, 5, 5, 5, 0, 0, 0, 5, 0, 5, 5, 0, 0, 0, 5, 0, 0, 5, 0], [0, 9, 0, 9, 0, 9, 9, 9, 9, 0, 0, 9, 9, 0, 0, 0, 9, 0, 0, 9], [9, 9, 0, 9, 0, 0, 9, 9, 0, 0, 9, 9, 0, 0, 9, 9, 0, 9, 9, 0], [0, 9, 9, 9, 9, 0, 9, 0, 9, 0, 0, 9, 0, 0, 9, 9, 9, 0, 9, 9], [0, 9, 0, 0, 0, 9, 0, 0, 0, 9, 9, 0, 9, 0, 9, 9, 9, 9, 9, 9], [0, 9, 0, 0, 9, 0, 0, 0, 0, 9, 0, 9, 9, 9, 9, 9, 0, 0, 0, 9], [0, 9, 9, 9, 0, 0, 0, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 9, 9], [0, 0, 9, 0, 0, 0, 0, 9, 0, 0, 0, 9, 9, 9, 0, 0, 0, 9, 9, 0], [0, 9, 9, 9, 0, 0, 9, 0, 0, 9, 0, 9, 9, 9, 9, 9, 0, 0, 0, 0], [9, 0, 9, 0, 0, 0, 9, 9, 9, 0, 9, 9, 0, 0, 9, 9, 0, 0, 9, 9], [0, 9, 9, 9, 9, 0, 0, 0, 9, 0, 9, 0, 0, 0, 0, 0, 0, 9, 9, 9], [0, 9, 9, 0, 0, 9, 0, 9, 0, 9, 0, 0, 9, 9, 9, 0, 0, 0, 9, 0], [9, 9, 0, 0, 0, 9, 9, 0, 9, 0, 0, 9, 0, 9, 9, 9, 9, 9, 9, 9], [0, 9, 0, 9, 0, 0, 0, 9, 0, 0, 9, 0, 0, 9, 0, 0, 0, 9, 9, 9], [0, 0, 9, 9, 9, 0, 0, 0, 9, 9, 0, 0, 0, 9, 9, 9, 0, 9, 9, 0], [0, 0, 0, 0, 0, 9, 0, 9, 0, 0, 0, 9, 9, 0, 9, 0, 0, 9, 9, 0], [0, 0, 0, 0, 9, 0, 9, 9, 0, 0, 9, 9, 0, 0, 0, 9, 0, 9, 0, 0], [9, 0, 0, 0, 9, 0, 9, 9, 9, 0, 0, 9, 0, 9, 9, 9, 9, 0, 9, 0], [0, 0, 0, 9, 0, 0, 9, 0, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0, 0, 0], [0, 0, 9, 9, 0, 9, 0, 0, 0, 0, 0, 0, 0, 9, 9, 0, 9, 0, 0, 0], [0, 0, 0, 9, 0, 0, 0, 9, 9, 0, 9, 0, 0, 9, 0, 0, 0, 0, 0, 0], [0, 6, 0, 6, 6, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 6, 0], [6, 0, 6, 6, 6, 0, 6, 0, 0, 6, 0, 0, 0, 6, 6, 6, 0, 6, 6, 6], [0, 0, 6, 6, 0, 0, 6, 6, 6, 0, 0, 6, 0, 0, 6, 0, 6, 6, 6, 0], [0, 0, 6, 6, 6, 6, 0, 6, 6, 0, 0, 6, 0, 6, 6, 0, 0, 0, 6, 6], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 6, 6, 6, 0, 6, 6], [6, 6, 6, 0, 0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 0, 0, 6, 6, 6], [6, 6, 6, 6, 6, 0, 0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 6, 6, 0, 6], [6, 0, 0, 6, 0, 6, 0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 0, 0], [0, 0, 0, 0, 0, 6, 0, 0, 6, 0, 0, 0, 6, 0, 6, 6, 0, 0, 0, 0], [0, 0, 6, 0, 6, 0, 0, 6, 0, 6, 6, 6, 0, 0, 0, 6, 6, 6, 6, 0], [6, 0, 0, 6, 6, 0, 0, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 0, 6, 0], [6, 0, 6, 0, 0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 0, 0, 0, 6, 0, 0], [0, 6, 0, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0, 6, 0, 0, 0, 0, 6, 6], [6, 6, 0, 0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6], [6, 6, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 0, 6], [0, 6, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 6], [6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 0, 6], [6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6, 0, 6, 6, 6, 0, 6, 0], [0, 0, 6, 0, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 0, 6, 0, 6]] -> [[0, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7, 0], [0, 0, 7, 7, 7, 0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7], [0, 0, 7, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0, 7, 7, 7], [0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 7, 0, 0, 7], [0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 7, 7, 7, 0, 7, 0], [7, 7, 0, 0, 0, 7, 0, 7, 7, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 0, 0, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7], [7, 0, 7, 0, 0, 7, 0, 7, 0, 0, 7, 7, 0, 0, 7, 0, 7, 7, 0, 0], [0, 0, 7, 0, 0, 7, 7, 7, 7, 0, 0, 0, 7, 0, 0, 7, 0, 0, 0, 0], [0, 0, 0, 0, 7, 0, 0, 7, 7, 7, 7, 7, 0, 0, 0, 7, 7, 7, 7, 7], [7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 7, 7, 0, 7, 0], [7, 0, 7, 0, 0, 7, 7, 7, 7, 0, 0, 7, 7, 7, 0, 0, 0, 0, 7, 0], [0, 0, 0, 7, 7, 7, 7, 7, 0, 7, 7, 7, 0, 7, 0, 0, 0, 0, 0, 0], [7, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 0, 0, 7], [7, 7, 0, 7, 7, 7, 7, 7, 0, 0, 7, 7, 0, 0, 0, 7, 7, 7, 7, 7], [0, 7, 0, 0, 7, 0, 7, 7, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7], [0, 7, 0, 0, 0, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7], [7, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 7, 7, 7, 7], [7, 7, 0, 0, 7, 0, 0, 7, 7, 0, 0, 0, 7, 0, 7, 7, 0, 0, 7, 0], [0, 0, 7, 7, 7, 7, 7, 7, 0, 0, 7, 0, 0, 0, 7, 0, 0, 7, 0, 7]]\nExample input-output arrays:\n[[5, 5, 0, 0, 5, 5, 0, 0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 5, 5, 0], [5, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5], [5, 0, 0, 5, 0, 0, 0, 5, 0, 5, 0, 5, 0, 5, 0, 5, 5, 5, 0, 5], [0, 0, 0, 5, 5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 0], [5, 5, 5, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 5, 5], [0, 0, 5, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 0, 5, 5, 5, 0, 0, 0], [5, 0, 0, 5, 5, 5, 0, 5, 0, 5, 5, 0, 0, 0, 5, 0, 0, 0, 5, 5], [0, 0, 5, 5, 5, 5, 0, 5, 0, 5, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0], [0, 5, 5, 5, 5, 0, 5, 5, 0, 0, 0, 0, 5, 0, 5, 0, 0, 0, 0, 0], [5, 0, 5, 0, 0, 5, 0, 5, 5, 5, 0, 0, 0, 0, 5, 5, 5, 0, 0, 5], [5, 5, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 5, 0, 5, 0, 0, 5, 0, 5], [0, 0, 5, 5, 5, 5, 0, 5, 5, 5, 0, 0, 5, 5, 0, 0, 0, 5, 5, 0], [0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 0, 5, 5], [0, 0, 5, 0, 5, 5, 0, 5, 0, 5, 0, 5, 5, 0, 5, 5, 0, 5, 5, 0], [5, 0, 5, 0, 0, 5, 0, 0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 5, 5, 5], [0, 5, 5, 0, 5, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 0, 5, 0, 0, 0], [5, 0, 0, 0, 0, 0, 5, 5, 0, 5, 0, 0, 5, 0, 5, 5, 5, 5, 5, 0], [0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0, 5, 0, 5, 5, 5, 0], [0, 5, 5, 5, 0, 5, 0, 0, 5, 5, 5, 5, 5, 0, 0, 5, 5, 5, 0, 5], [0, 0, 5, 5, 5, 0, 0, 0, 5, 0, 5, 5, 0, 0, 0, 5, 0, 0, 5, 0], [0, 9, 0, 9, 0, 9, 9, 9, 9, 0, 0, 9, 9, 0, 0, 0, 9, 0, 0, 9], [9, 9, 0, 9, 0, 0, 9, 9, 0, 0, 9, 9, 0, 0, 9, 9, 0, 9, 9, 0], [0, 9, 9, 9, 9, 0, 9, 0, 9, 0, 0, 9, 0, 0, 9, 9, 9, 0, 9, 9], [0, 9, 0, 0, 0, 9, 0, 0, 0, 9, 9, 0, 9, 0, 9, 9, 9, 9, 9, 9], [0, 9, 0, 0, 9, 0, 0, 0, 0, 9, 0, 9, 9, 9, 9, 9, 0, 0, 0, 9], [0, 9, 9, 9, 0, 0, 0, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 9, 9], [0, 0, 9, 0, 0, 0, 0, 9, 0, 0, 0, 9, 9, 9, 0, 0, 0, 9, 9, 0], [0, 9, 9, 9, 0, 0, 9, 0, 0, 9, 0, 9, 9, 9, 9, 9, 0, 0, 0, 0], [9, 0, 9, 0, 0, 0, 9, 9, 9, 0, 9, 9, 0, 0, 9, 9, 0, 0, 9, 9], [0, 9, 9, 9, 9, 0, 0, 0, 9, 0, 9, 0, 0, 0, 0, 0, 0, 9, 9, 9], [0, 9, 9, 0, 0, 9, 0, 9, 0, 9, 0, 0, 9, 9, 9, 0, 0, 0, 9, 0], [9, 9, 0, 0, 0, 9, 9, 0, 9, 0, 0, 9, 0, 9, 9, 9, 9, 9, 9, 9], [0, 9, 0, 9, 0, 0, 0, 9, 0, 0, 9, 0, 0, 9, 0, 0, 0, 9, 9, 9], [0, 0, 9, 9, 9, 0, 0, 0, 9, 9, 0, 0, 0, 9, 9, 9, 0, 9, 9, 0], [0, 0, 0, 0, 0, 9, 0, 9, 0, 0, 0, 9, 9, 0, 9, 0, 0, 9, 9, 0], [0, 0, 0, 0, 9, 0, 9, 9, 0, 0, 9, 9, 0, 0, 0, 9, 0, 9, 0, 0], [9, 0, 0, 0, 9, 0, 9, 9, 9, 0, 0, 9, 0, 9, 9, 9, 9, 0, 9, 0], [0, 0, 0, 9, 0, 0, 9, 0, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0, 0, 0], [0, 0, 9, 9, 0, 9, 0, 0, 0, 0, 0, 0, 0, 9, 9, 0, 9, 0, 0, 0], [0, 0, 0, 9, 0, 0, 0, 9, 9, 0, 9, 0, 0, 9, 0, 0, 0, 0, 0, 0], [0, 6, 0, 6, 6, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 6, 0], [6, 0, 6, 6, 6, 0, 6, 0, 0, 6, 0, 0, 0, 6, 6, 6, 0, 6, 6, 6], [0, 0, 6, 6, 0, 0, 6, 6, 6, 0, 0, 6, 0, 0, 6, 0, 6, 6, 6, 0], [0, 0, 6, 6, 6, 6, 0, 6, 6, 0, 0, 6, 0, 6, 6, 0, 0, 0, 6, 6], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 6, 6, 6, 0, 6, 6], [6, 6, 6, 0, 0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 0, 0, 6, 6, 6], [6, 6, 6, 6, 6, 0, 0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 6, 6, 0, 6], [6, 0, 0, 6, 0, 6, 0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 0, 0], [0, 0, 0, 0, 0, 6, 0, 0, 6, 0, 0, 0, 6, 0, 6, 6, 0, 0, 0, 0], [0, 0, 6, 0, 6, 0, 0, 6, 0, 6, 6, 6, 0, 0, 0, 6, 6, 6, 6, 0], [6, 0, 0, 6, 6, 0, 0, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 0, 6, 0], [6, 0, 6, 0, 0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 0, 0, 0, 6, 0, 0], [0, 6, 0, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0, 6, 0, 0, 0, 0, 6, 6], [6, 6, 0, 0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6], [6, 6, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 0, 6], [0, 6, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 6], [6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 0, 6], [6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6, 0, 6, 6, 6, 0, 6, 0], [0, 0, 6, 0, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 0, 6, 0, 6]] -> [[0, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7, 0], [0, 0, 7, 7, 7, 0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7], [0, 0, 7, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0, 7, 7, 7], [0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 7, 0, 0, 7], [0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 7, 7, 7, 0, 7, 0], [7, 7, 0, 0, 0, 7, 0, 7, 7, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 0, 0, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7], [7, 0, 7, 0, 0, 7, 0, 7, 0, 0, 7, 7, 0, 0, 7, 0, 7, 7, 0, 0], [0, 0, 7, 0, 0, 7, 7, 7, 7, 0, 0, 0, 7, 0, 0, 7, 0, 0, 0, 0], [0, 0, 0, 0, 7, 0, 0, 7, 7, 7, 7, 7, 0, 0, 0, 7, 7, 7, 7, 7], [7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 7, 7, 0, 7, 0], [7, 0, 7, 0, 0, 7, 7, 7, 7, 0, 0, 7, 7, 7, 0, 0, 0, 0, 7, 0], [0, 0, 0, 7, 7, 7, 7, 7, 0, 7, 7, 7, 0, 7, 0, 0, 0, 0, 0, 0], [7, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 0, 0, 7], [7, 7, 0, 7, 7, 7, 7, 7, 0, 0, 7, 7, 0, 0, 0, 7, 7, 7, 7, 7], [0, 7, 0, 0, 7, 0, 7, 7, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7], [0, 7, 0, 0, 0, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7], [7, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 7, 7, 7, 7], [7, 7, 0, 0, 7, 0, 0, 7, 7, 0, 0, 0, 7, 0, 7, 7, 0, 0, 7, 0], [0, 0, 7, 7, 7, 7, 7, 7, 0, 0, 7, 0, 0, 0, 7, 0, 0, 7, 0, 7]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [9, 9, 0, 0, 0, 9, 0, 9, 9, 9, 9, 0, 0, 0, 9, 0, 9, 0, 9, 9], [9, 0, 9, 0, 0, 9, 9, 0, 9, 0, 0, 0, 0, 9, 9, 9, 9, 0, 0, 0], [9, 0, 0, 9, 0, 0, 0, 9, 0, 9, 9, 9, 9, 9, 0, 0, 0, 9, 9, 0], [0, 9, 9, 9, 0, 0, 0, 0, 9, 0, 9, 9, 0, 0, 0, 0, 9, 0, 9, 0], [9, 9, 0, 9, 0, 9, 9, 0, 0, 0, 0, 9, 9, 9, 0, 0, 9, 9, 0, 9], [9, 9, 0, 0, 0, 9, 9, 9, 0, 9, 9, 9, 0, 0, 9, 9, 9, 0, 9, 9], [0, 0, 0, 9, 0, 0, 9, 0, 0, 9, 9, 9, 0, 0, 9, 9, 9, 0, 0, 0], [9, 9, 0, 0, 9, 0, 9, 9, 0, 0, 9, 9, 9, 0, 9, 9, 9, 0, 9, 9], [9, 9, 9, 0, 9, 0, 9, 0, 0, 9, 0, 9, 0, 0, 0, 9, 0, 9, 9, 0], [9, 0, 9, 0, 9, 0, 0, 9, 9, 9, 0, 0, 9, 0, 9, 9, 9, 9, 9, 0], [0, 0, 0, 9, 9, 0, 0, 9, 9, 0, 9, 9, 9, 9, 0, 0, 0, 0, 9, 0], [9, 9, 0, 9, 0, 9, 9, 9, 0, 9, 9, 9, 0, 9, 9, 9, 9, 9, 9, 0], [9, 0, 0, 9, 0, 0, 0, 0, 9, 9, 0, 9, 0, 0, 0, 0, 0, 0, 9, 0], [9, 9, 0, 0, 9, 9, 0, 9, 0, 0, 9, 0, 9, 0, 9, 0, 0, 9, 9, 0], [0, 0, 0, 0, 9, 9, 0, 0, 9, 0, 0, 9, 0, 0, 9, 0, 9, 9, 9, 0], [0, 0, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 0, 0, 9, 0, 9, 9, 9], [0, 0, 9, 9, 9, 0, 0, 9, 9, 9, 0, 9, 0, 0, 0, 0, 9, 0, 0, 0], [9, 0, 9, 0, 9, 9, 9, 9, 0, 9, 0, 9, 0, 9, 0, 9, 9, 9, 9, 0], [0, 0, 9, 0, 9, 9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 9, 0, 9, 0, 0], [0, 0, 9, 0, 0, 0, 0, 0, 0, 9, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0], [6, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6], [0, 0, 6, 6, 0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 6], [0, 6, 0, 0, 6, 6, 0, 6, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 0, 6], [0, 6, 0, 0, 6, 0, 6, 6, 6, 6, 0, 6, 0, 0, 0, 6, 0, 0, 0, 6], [6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 6, 6, 0, 6, 0, 6], [6, 0, 0, 0, 6, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 0, 6, 0, 6, 0, 6, 6, 6, 6, 0, 0, 0, 6, 0, 0, 6, 6, 6, 0], [0, 6, 0, 6, 0, 6, 0, 6, 6, 6, 0, 0, 0, 6, 6, 0, 6, 0, 0, 6], [0, 0, 0, 0, 6, 0, 0, 6, 6, 0, 0, 0, 0, 6, 6, 6, 0, 6, 0, 6], [0, 0, 6, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 6, 0, 6, 0, 0, 6, 6], [0, 6, 6, 0, 0, 6, 0, 6, 6, 0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 0], [0, 6, 6, 6, 0, 0, 0, 6, 6, 0, 6, 6, 0, 0, 0, 6, 0, 6, 0, 6], [0, 6, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 6, 6, 6, 0, 0, 0, 6, 6], [0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 6, 6, 0], [0, 0, 6, 0, 6, 6, 6, 6, 6, 0, 6, 0, 6, 6, 0, 6, 0, 0, 0, 6], [0, 0, 6, 6, 6, 0, 0, 0, 6, 6, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 6, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0], [0, 6, 6, 6, 6, 6, 0, 6, 0, 0, 6, 6, 6, 0, 0, 0, 6, 0, 6, 6], [0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 0, 6, 6, 0, 6, 0, 6, 6, 6, 6], [0, 6, 6, 0, 6, 0, 6, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 6, 6]] -> ",
+                "test": {
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+                }
+            },
+            "Replicate 2": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[5, 0, 0, 0, 5, 5, 0, 0, 5, 5, 5, 5, 0, 5, 5, 0, 0, 0, 5, 0], [5, 5, 5, 0, 0, 5, 0, 0, 5, 0, 0, 5, 0, 0, 0, 5, 5, 0, 0, 0], [0, 5, 5, 0, 5, 5, 0, 5, 5, 5, 5, 0, 5, 0, 5, 5, 0, 5, 0, 5], [5, 5, 0, 0, 0, 0, 0, 0, 5, 5, 0, 5, 5, 5, 0, 0, 0, 5, 0, 0], [5, 5, 0, 5, 5, 5, 5, 0, 0, 5, 5, 5, 0, 0, 5, 0, 5, 5, 5, 0], [5, 0, 0, 0, 5, 5, 5, 5, 0, 0, 5, 0, 0, 5, 0, 0, 5, 0, 5, 5], [0, 5, 5, 5, 5, 0, 0, 5, 5, 5, 0, 0, 5, 5, 0, 0, 5, 5, 5, 0], [0, 5, 0, 0, 0, 0, 5, 5, 0, 5, 5, 5, 0, 0, 5, 0, 5, 5, 0, 0], [0, 5, 0, 5, 5, 5, 5, 5, 5, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 5], [5, 0, 5, 5, 0, 5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 0, 5, 5, 0, 5], [0, 0, 5, 0, 5, 0, 0, 5, 5, 0, 5, 5, 0, 0, 0, 5, 0, 5, 5, 5], [5, 5, 0, 5, 5, 5, 5, 0, 0, 0, 5, 5, 5, 5, 0, 5, 0, 0, 5, 5], [5, 0, 5, 0, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 5, 0, 5, 0, 0], [0, 5, 0, 5, 5, 0, 5, 5, 5, 0, 0, 5, 5, 0, 5, 5, 0, 0, 5, 5], [0, 5, 5, 5, 5, 5, 5, 5, 0, 0, 5, 5, 0, 0, 5, 5, 5, 5, 5, 5], [5, 5, 0, 5, 0, 5, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 0, 0, 5], [0, 5, 5, 5, 5, 5, 0, 0, 5, 5, 5, 0, 5, 5, 0, 5, 5, 0, 5, 5], [5, 5, 0, 0, 5, 0, 5, 0, 0, 5, 5, 5, 0, 0, 5, 5, 5, 5, 0, 5], [5, 0, 0, 5, 0, 5, 0, 0, 0, 5, 0, 0, 5, 0, 0, 5, 0, 5, 0, 5], [0, 5, 5, 5, 5, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 0, 0, 5, 5, 5], [9, 0, 9, 0, 9, 9, 9, 0, 9, 9, 9, 0, 9, 9, 0, 0, 0, 0, 9, 9], [9, 9, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0, 0, 9, 0, 0, 0, 9, 0, 0], [9, 9, 0, 0, 9, 9, 9, 9, 9, 0, 0, 0, 9, 0, 9, 0, 9, 9, 0, 0], [9, 9, 0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 0, 0, 0, 9, 0, 0, 9], [0, 9, 0, 9, 9, 0, 9, 0, 9, 0, 9, 0, 0, 0, 9, 0, 0, 9, 9, 9], [9, 9, 9, 9, 0, 9, 0, 9, 0, 0, 9, 9, 0, 0, 0, 9, 9, 9, 9, 0], [9, 0, 0, 0, 9, 0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 0, 9, 0, 0, 9], [9, 9, 9, 9, 0, 0, 0, 9, 9, 0, 9, 9, 0, 0, 9, 0, 0, 0, 0, 9], [9, 0, 9, 0, 9, 9, 9, 0, 9, 0, 0, 0, 9, 9, 0, 0, 0, 0, 9, 9], [9, 9, 9, 9, 0, 9, 9, 9, 0, 9, 9, 0, 0, 9, 9, 0, 0, 9, 9, 9], [9, 0, 0, 9, 0, 0, 0, 9, 0, 9, 9, 9, 9, 9, 0, 9, 0, 0, 9, 9], [0, 9, 9, 0, 9, 0, 9, 9, 9, 9, 0, 9, 9, 9, 9, 9, 9, 9, 9, 0], [9, 9, 0, 0, 9, 9, 0, 0, 9, 9, 0, 9, 0, 0, 0, 9, 0, 0, 9, 9], [0, 0, 9, 9, 9, 0, 0, 0, 9, 9, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0], [9, 9, 0, 9, 9, 0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 0, 0, 9, 0, 9], [0, 9, 9, 0, 0, 9, 0, 0, 0, 0, 9, 9, 0, 0, 0, 0, 9, 9, 0, 9], [9, 9, 0, 9, 9, 9, 0, 9, 0, 9, 0, 9, 0, 0, 9, 9, 0, 0, 0, 0], [9, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 9], [0, 9, 0, 9, 0, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 9, 9, 9], [9, 9, 9, 9, 9, 0, 9, 9, 9, 9, 0, 9, 9, 9, 9, 9, 9, 9, 0, 0], [0, 0, 0, 6, 0, 6, 0, 6, 0, 0, 0, 0, 6, 0, 6, 6, 0, 6, 6, 6], [0, 0, 6, 6, 0, 0, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 0, 6], [6, 6, 6, 6, 0, 0, 6, 0, 6, 0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6], [0, 0, 6, 0, 0, 6, 6, 6, 6, 6, 0, 0, 6, 0, 0, 0, 0, 6, 6, 6], [6, 0, 6, 0, 6, 6, 0, 6, 6, 6, 6, 0, 0, 0, 6, 0, 6, 6, 0, 0], [0, 0, 6, 0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6], [0, 6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 6, 6, 0, 0, 0, 6, 6, 6], [0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6], [0, 0, 6, 0, 6, 6, 0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 6, 0, 0, 6], [6, 0, 0, 6, 6, 0, 6, 0, 0, 0, 0, 0, 6, 0, 6, 0, 6, 6, 0, 0], [0, 0, 0, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 6, 0, 6, 0, 0, 6, 0], [0, 0, 6, 0, 6, 6, 0, 0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0], [6, 6, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 6, 0], [6, 0, 0, 6, 0, 0, 0, 6, 6, 0, 0, 6, 0, 0, 0, 6, 0, 6, 0, 0], [6, 6, 0, 6, 0, 0, 6, 6, 0, 6, 0, 6, 0, 6, 0, 6, 6, 6, 6, 0], [6, 0, 6, 0, 0, 0, 0, 6, 0, 6, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6], [0, 0, 6, 6, 0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 0, 6, 0, 0, 6, 6], [6, 0, 0, 6, 0, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 0, 6, 6, 0, 6], [0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0], [6, 0, 6, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0, 6, 0]] -> [[7, 0, 0, 7, 7, 0, 0, 7, 7, 7, 7, 0, 7, 7, 7, 7, 0, 7, 0, 7], [7, 7, 0, 7, 0, 7, 7, 7, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 0, 7], [7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 0, 7, 7, 7, 0, 7, 7, 0, 7, 7], [7, 7, 7, 0, 0, 7, 7, 7, 7, 0, 0, 7, 7, 0, 0, 0, 0, 7, 7, 7], [7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0], [7, 0, 7, 0, 7, 0, 7, 7, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7, 7], [0, 7, 7, 7, 0, 0, 7, 0, 7, 0, 7, 7, 7, 7, 0, 0, 7, 7, 7, 7], [0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7], [0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 7, 0, 0, 7, 7, 7, 7, 0, 7, 0], [0, 0, 7, 0, 7, 7, 0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7], [0, 0, 0, 7, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 7], [0, 7, 7, 0, 0, 7, 7, 0, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7, 7, 0], [0, 7, 0, 0, 7, 0, 0, 0, 7, 7, 0, 0, 0, 7, 7, 7, 0, 7, 7, 0], [7, 0, 0, 0, 7, 0, 0, 7, 0, 0, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0], [7, 0, 0, 0, 7, 0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 7, 0, 7, 7], [7, 7, 7, 0, 0, 7, 0, 7, 0, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0], [0, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 7], [0, 7, 0, 7, 0, 7, 7, 0, 0, 7, 0, 0, 7, 7, 7, 7, 0, 0, 0, 0], [0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 7, 7, 7, 0, 7], [7, 7, 0, 7, 0, 7, 7, 7, 7, 0, 7, 7, 0, 7, 0, 0, 7, 7, 7, 0]]\nExample input-output arrays:\n[[5, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 5, 0, 5, 0, 0, 0, 0, 5, 0], [0, 0, 0, 5, 0, 5, 0, 0, 0, 5, 5, 0, 5, 5, 5, 0, 5, 5, 5, 0], [5, 0, 0, 0, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 0, 0, 5, 5, 5, 0], [0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 5, 5, 0], [5, 5, 5, 0, 0, 0, 0, 5, 0, 0, 0, 5, 5, 0, 5, 5, 5, 0, 0, 5], [0, 0, 5, 5, 0, 5, 0, 5, 0, 0, 0, 0, 5, 0, 5, 5, 5, 0, 5, 0], [0, 5, 5, 5, 0, 5, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 0, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 5, 5, 0, 5, 0, 0, 5, 5, 0, 0], [0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 5, 5, 5, 5, 0, 0], [5, 5, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 5, 5, 5], [0, 0, 0, 0, 5, 5, 0, 5, 5, 0, 5, 5, 0, 0, 0, 0, 5, 5, 0, 0], [0, 5, 5, 5, 5, 5, 5, 0, 5, 0, 0, 5, 5, 0, 0, 5, 0, 5, 0, 5], [0, 5, 0, 5, 5, 5, 5, 5, 5, 0, 5, 5, 0, 0, 5, 0, 0, 5, 0, 5], [0, 0, 0, 5, 0, 0, 5, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 0, 0, 0], [0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 5, 5, 5, 5, 5, 5, 0, 5, 5], [5, 5, 0, 0, 5, 0, 5, 5, 5, 5, 0, 5, 0, 5, 0, 5, 0, 0, 0, 5], [0, 5, 5, 5, 0, 5, 5, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 5], [0, 0, 0, 0, 5, 5, 5, 5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 5, 0, 5], [0, 5, 5, 0, 0, 5, 5, 0, 0, 5, 0, 5, 0, 5, 5, 5, 5, 5, 0, 0], [5, 5, 5, 5, 0, 0, 5, 0, 0, 0, 5, 0, 5, 5, 5, 5, 5, 5, 5, 0], [0, 0, 9, 9, 9, 0, 9, 0, 0, 0, 9, 0, 0, 0, 0, 9, 0, 9, 9, 0], [9, 9, 0, 0, 0, 9, 9, 0, 0, 0, 0, 9, 0, 9, 0, 0, 9, 0, 0, 0], [9, 9, 0, 9, 0, 0, 0, 9, 0, 9, 0, 0, 0, 0, 9, 9, 0, 9, 9, 0], [0, 0, 9, 0, 0, 0, 9, 0, 0, 9, 9, 9, 0, 9, 0, 0, 0, 0, 0, 9], [0, 0, 0, 0, 9, 0, 0, 9, 0, 9, 9, 0, 9, 0, 9, 9, 0, 0, 9, 9], [9, 9, 0, 9, 9, 9, 0, 0, 9, 0, 9, 0, 9, 9, 9, 0, 9, 0, 0, 9], [9, 9, 9, 9, 0, 9, 9, 0, 9, 9, 9, 9, 0, 9, 9, 9, 9, 0, 0, 9], [9, 9, 9, 9, 9, 0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 0, 0, 0, 9], [9, 9, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 0, 0, 9, 9, 0, 0, 9], [0, 0, 0, 9, 0, 0, 9, 0, 0, 0, 9, 9, 0, 0, 9, 0, 9, 0, 0, 0], [0, 0, 0, 0, 9, 0, 9, 0, 0, 0, 9, 9, 0, 0, 9, 9, 9, 9, 9, 9], [0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 9, 0, 9, 9, 0, 0], [0, 9, 0, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 0, 9, 0, 9, 9, 0], [0, 9, 9, 9, 9, 0, 9, 9, 9, 9, 9, 9, 9, 0, 9, 9, 0, 9, 9, 9], [0, 0, 9, 9, 9, 9, 0, 0, 9, 9, 9, 0, 9, 0, 0, 0, 9, 0, 0, 0], [9, 9, 0, 0, 0, 9, 0, 0, 0, 0, 0, 9, 9, 9, 9, 9, 0, 0, 9, 0], [0, 9, 9, 9, 0, 0, 9, 0, 9, 9, 0, 9, 0, 0, 9, 0, 9, 0, 0, 9], [0, 9, 0, 0, 0, 9, 9, 9, 9, 0, 0, 0, 0, 9, 9, 9, 0, 9, 0, 9], [0, 0, 0, 9, 9, 9, 0, 9, 0, 9, 0, 9, 9, 0, 0, 0, 9, 0, 9, 9], [0, 9, 9, 9, 9, 0, 0, 0, 9, 0, 0, 9, 9, 0, 9, 9, 0, 0, 0, 0], [6, 6, 0, 0, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 0, 6, 0, 0, 0], [6, 6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 6, 0, 6, 0, 6, 0, 6], [6, 0, 6, 6, 0, 0, 0, 0, 6, 0, 6, 6, 0, 6, 0, 6, 6, 0, 6, 0], [6, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 6, 0], [6, 6, 0, 6, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 6, 0, 0, 6, 0, 0], [6, 6, 6, 0, 6, 6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 0], [0, 6, 0, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 0, 6, 6, 6, 0, 6, 0], [6, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6], [6, 0, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0, 6, 0, 6, 6, 6, 0, 6, 6], [0, 6, 6, 6, 0, 0, 6, 6, 0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6, 0], [0, 6, 6, 0, 6, 0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6], [6, 0, 0, 0, 6, 6, 0, 6, 0, 0, 0, 0, 6, 0, 6, 6, 0, 6, 0, 0], [6, 6, 6, 6, 6, 0, 0, 6, 6, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0], [0, 6, 0, 0, 0, 0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 6, 6, 6, 6, 0], [0, 0, 6, 0, 6, 0, 0, 0, 6, 0, 0, 6, 6, 0, 0, 6, 0, 6, 0, 0], [0, 6, 6, 6, 0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 6], [0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 6, 6, 0, 6, 0, 6], [6, 0, 0, 6, 0, 6, 0, 6, 0, 6, 6, 0, 6, 0, 0, 0, 6, 6, 6, 0], [0, 0, 6, 0, 6, 6, 6, 0, 0, 6, 0, 0, 0, 6, 6, 0, 6, 0, 0, 6], [0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 6]] -> [[7, 7, 0, 0, 7, 7, 0, 0, 7, 7, 7, 7, 7, 7, 0, 0, 7, 0, 7, 0], [7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 0, 0, 0, 7, 7, 7, 0, 7], [0, 0, 7, 7, 0, 0, 0, 7, 7, 0, 7, 7, 0, 7, 0, 7, 7, 7, 0, 0], [7, 0, 7, 7, 0, 7, 7, 0, 0, 0, 0, 0, 7, 0, 7, 7, 0, 0, 7, 0], [7, 7, 0, 7, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 0, 7, 0, 7, 0, 7], [7, 7, 7, 7, 7, 0, 7, 7, 7, 0, 7, 7, 0, 0, 0, 7, 7, 0, 0, 0], [0, 0, 7, 0, 7, 7, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7, 7, 0, 7, 7], [0, 7, 0, 7, 7, 7, 7, 0, 7, 0, 7, 7, 7, 7, 0, 7, 7, 7, 0, 7], [7, 0, 7, 0, 7, 7, 7, 0, 0, 0, 0, 7, 7, 0, 7, 0, 0, 0, 7, 7], [0, 7, 7, 7, 0, 0, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 0, 7, 7, 0], [0, 7, 7, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 7, 0, 0, 7], [7, 0, 7, 0, 7, 7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7, 0, 0, 0, 0], [7, 0, 7, 7, 0, 0, 7, 7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 7, 0, 0], [0, 7, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7, 7, 7, 7, 7, 0], [0, 0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 7, 7, 7, 0, 0], [7, 0, 7, 7, 0, 0, 7, 7, 0, 0, 0, 0, 7, 7, 0, 7, 7, 7, 0, 7], [0, 7, 0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 7, 7, 0, 7, 0, 0], [7, 0, 0, 7, 0, 0, 7, 0, 7, 7, 7, 0, 7, 0, 0, 0, 7, 0, 7, 7], [0, 0, 7, 0, 7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7, 0, 0, 0, 0, 7], [0, 7, 7, 7, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 0, 0, 7]]\nExample input-output arrays:\n[[5, 5, 0, 0, 5, 5, 0, 0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 5, 5, 0], [5, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5], [5, 0, 0, 5, 0, 0, 0, 5, 0, 5, 0, 5, 0, 5, 0, 5, 5, 5, 0, 5], [0, 0, 0, 5, 5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 0], [5, 5, 5, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 5, 5], [0, 0, 5, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 0, 5, 5, 5, 0, 0, 0], [5, 0, 0, 5, 5, 5, 0, 5, 0, 5, 5, 0, 0, 0, 5, 0, 0, 0, 5, 5], [0, 0, 5, 5, 5, 5, 0, 5, 0, 5, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0], [0, 5, 5, 5, 5, 0, 5, 5, 0, 0, 0, 0, 5, 0, 5, 0, 0, 0, 0, 0], [5, 0, 5, 0, 0, 5, 0, 5, 5, 5, 0, 0, 0, 0, 5, 5, 5, 0, 0, 5], [5, 5, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 5, 0, 5, 0, 0, 5, 0, 5], [0, 0, 5, 5, 5, 5, 0, 5, 5, 5, 0, 0, 5, 5, 0, 0, 0, 5, 5, 0], [0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 0, 5, 5], [0, 0, 5, 0, 5, 5, 0, 5, 0, 5, 0, 5, 5, 0, 5, 5, 0, 5, 5, 0], [5, 0, 5, 0, 0, 5, 0, 0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 5, 5, 5], [0, 5, 5, 0, 5, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 0, 5, 0, 0, 0], [5, 0, 0, 0, 0, 0, 5, 5, 0, 5, 0, 0, 5, 0, 5, 5, 5, 5, 5, 0], [0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0, 5, 0, 5, 5, 5, 0], [0, 5, 5, 5, 0, 5, 0, 0, 5, 5, 5, 5, 5, 0, 0, 5, 5, 5, 0, 5], [0, 0, 5, 5, 5, 0, 0, 0, 5, 0, 5, 5, 0, 0, 0, 5, 0, 0, 5, 0], [0, 9, 0, 9, 0, 9, 9, 9, 9, 0, 0, 9, 9, 0, 0, 0, 9, 0, 0, 9], [9, 9, 0, 9, 0, 0, 9, 9, 0, 0, 9, 9, 0, 0, 9, 9, 0, 9, 9, 0], [0, 9, 9, 9, 9, 0, 9, 0, 9, 0, 0, 9, 0, 0, 9, 9, 9, 0, 9, 9], [0, 9, 0, 0, 0, 9, 0, 0, 0, 9, 9, 0, 9, 0, 9, 9, 9, 9, 9, 9], [0, 9, 0, 0, 9, 0, 0, 0, 0, 9, 0, 9, 9, 9, 9, 9, 0, 0, 0, 9], [0, 9, 9, 9, 0, 0, 0, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 9, 9], [0, 0, 9, 0, 0, 0, 0, 9, 0, 0, 0, 9, 9, 9, 0, 0, 0, 9, 9, 0], [0, 9, 9, 9, 0, 0, 9, 0, 0, 9, 0, 9, 9, 9, 9, 9, 0, 0, 0, 0], [9, 0, 9, 0, 0, 0, 9, 9, 9, 0, 9, 9, 0, 0, 9, 9, 0, 0, 9, 9], [0, 9, 9, 9, 9, 0, 0, 0, 9, 0, 9, 0, 0, 0, 0, 0, 0, 9, 9, 9], [0, 9, 9, 0, 0, 9, 0, 9, 0, 9, 0, 0, 9, 9, 9, 0, 0, 0, 9, 0], [9, 9, 0, 0, 0, 9, 9, 0, 9, 0, 0, 9, 0, 9, 9, 9, 9, 9, 9, 9], [0, 9, 0, 9, 0, 0, 0, 9, 0, 0, 9, 0, 0, 9, 0, 0, 0, 9, 9, 9], [0, 0, 9, 9, 9, 0, 0, 0, 9, 9, 0, 0, 0, 9, 9, 9, 0, 9, 9, 0], [0, 0, 0, 0, 0, 9, 0, 9, 0, 0, 0, 9, 9, 0, 9, 0, 0, 9, 9, 0], [0, 0, 0, 0, 9, 0, 9, 9, 0, 0, 9, 9, 0, 0, 0, 9, 0, 9, 0, 0], [9, 0, 0, 0, 9, 0, 9, 9, 9, 0, 0, 9, 0, 9, 9, 9, 9, 0, 9, 0], [0, 0, 0, 9, 0, 0, 9, 0, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0, 0, 0], [0, 0, 9, 9, 0, 9, 0, 0, 0, 0, 0, 0, 0, 9, 9, 0, 9, 0, 0, 0], [0, 0, 0, 9, 0, 0, 0, 9, 9, 0, 9, 0, 0, 9, 0, 0, 0, 0, 0, 0], [0, 6, 0, 6, 6, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 6, 0], [6, 0, 6, 6, 6, 0, 6, 0, 0, 6, 0, 0, 0, 6, 6, 6, 0, 6, 6, 6], [0, 0, 6, 6, 0, 0, 6, 6, 6, 0, 0, 6, 0, 0, 6, 0, 6, 6, 6, 0], [0, 0, 6, 6, 6, 6, 0, 6, 6, 0, 0, 6, 0, 6, 6, 0, 0, 0, 6, 6], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 6, 6, 6, 0, 6, 6], [6, 6, 6, 0, 0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 0, 0, 6, 6, 6], [6, 6, 6, 6, 6, 0, 0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 6, 6, 0, 6], [6, 0, 0, 6, 0, 6, 0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 0, 0], [0, 0, 0, 0, 0, 6, 0, 0, 6, 0, 0, 0, 6, 0, 6, 6, 0, 0, 0, 0], [0, 0, 6, 0, 6, 0, 0, 6, 0, 6, 6, 6, 0, 0, 0, 6, 6, 6, 6, 0], [6, 0, 0, 6, 6, 0, 0, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 0, 6, 0], [6, 0, 6, 0, 0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 0, 0, 0, 6, 0, 0], [0, 6, 0, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0, 6, 0, 0, 0, 0, 6, 6], [6, 6, 0, 0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6], [6, 6, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 0, 6], [0, 6, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 6], [6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 0, 6], [6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6, 0, 6, 6, 6, 0, 6, 0], [0, 0, 6, 0, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 0, 6, 0, 6]] -> [[0, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7, 0], [0, 0, 7, 7, 7, 0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7], [0, 0, 7, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0, 7, 7, 7], [0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 7, 0, 0, 7], [0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 7, 7, 7, 0, 7, 0], [7, 7, 0, 0, 0, 7, 0, 7, 7, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 0, 0, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7], [7, 0, 7, 0, 0, 7, 0, 7, 0, 0, 7, 7, 0, 0, 7, 0, 7, 7, 0, 0], [0, 0, 7, 0, 0, 7, 7, 7, 7, 0, 0, 0, 7, 0, 0, 7, 0, 0, 0, 0], [0, 0, 0, 0, 7, 0, 0, 7, 7, 7, 7, 7, 0, 0, 0, 7, 7, 7, 7, 7], [7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 7, 7, 0, 7, 0], [7, 0, 7, 0, 0, 7, 7, 7, 7, 0, 0, 7, 7, 7, 0, 0, 0, 0, 7, 0], [0, 0, 0, 7, 7, 7, 7, 7, 0, 7, 7, 7, 0, 7, 0, 0, 0, 0, 0, 0], [7, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 0, 0, 7], [7, 7, 0, 7, 7, 7, 7, 7, 0, 0, 7, 7, 0, 0, 0, 7, 7, 7, 7, 7], [0, 7, 0, 0, 7, 0, 7, 7, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7], [0, 7, 0, 0, 0, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7], [7, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 7, 7, 7, 7], [7, 7, 0, 0, 7, 0, 0, 7, 7, 0, 0, 0, 7, 0, 7, 7, 0, 0, 7, 0], [0, 0, 7, 7, 7, 7, 7, 7, 0, 0, 7, 0, 0, 0, 7, 0, 0, 7, 0, 7]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[5, 0, 5, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0], [0, 0, 5, 0, 5, 5, 5, 0, 0, 0, 0, 0, 5, 0, 5, 5, 0, 0, 5, 5], [5, 0, 5, 0, 5, 5, 0, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 0, 5], [0, 5, 5, 0, 0, 0, 0, 5, 5, 5, 5, 0, 0, 5, 5, 5, 5, 0, 0, 0], [0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 5, 0, 0, 0, 5, 0, 0, 5, 0, 0], [0, 0, 5, 0, 0, 5, 5, 5, 5, 5, 5, 0, 5, 5, 5, 5, 0, 5, 0, 0], [0, 5, 5, 5, 5, 5, 0, 0, 5, 5, 0, 0, 5, 0, 0, 0, 0, 5, 5, 5], [0, 5, 0, 5, 5, 5, 5, 5, 0, 5, 5, 0, 5, 0, 0, 0, 5, 5, 5, 0], [0, 0, 0, 5, 5, 0, 5, 0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 0, 5, 5], [5, 0, 0, 5, 0, 0, 5, 5, 5, 0, 0, 5, 5, 0, 0, 0, 5, 5, 5, 5], [0, 5, 0, 0, 5, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 5, 0, 0, 0, 0], [5, 0, 5, 0, 0, 0, 5, 0, 5, 5, 5, 0, 5, 0, 5, 0, 5, 0, 0, 5], [0, 5, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 5, 0, 0, 0, 5, 5, 0, 0], [5, 5, 5, 0, 5, 0, 0, 5, 5, 5, 5, 5, 0, 0, 0, 0, 5, 0, 0, 5], [0, 5, 5, 5, 5, 0, 0, 0, 0, 0, 5, 0, 5, 5, 5, 5, 0, 5, 0, 5], [0, 5, 5, 5, 5, 0, 5, 5, 0, 5, 5, 0, 5, 5, 5, 0, 0, 5, 5, 0], [5, 5, 5, 5, 5, 0, 0, 5, 0, 0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 0], [5, 5, 5, 5, 5, 0, 5, 5, 5, 0, 0, 5, 5, 0, 5, 5, 0, 5, 0, 5], [5, 0, 5, 5, 5, 5, 0, 0, 0, 0, 5, 5, 5, 5, 0, 5, 0, 5, 5, 5], [5, 0, 5, 0, 5, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 5, 0, 0, 5, 0], [9, 0, 0, 9, 0, 9, 9, 0, 9, 9, 9, 0, 9, 9, 0, 0, 9, 9, 0, 9], [0, 0, 0, 9, 9, 0, 9, 9, 9, 0, 9, 0, 0, 0, 0, 9, 9, 9, 9, 0], [0, 9, 0, 9, 9, 0, 0, 0, 0, 0, 9, 9, 0, 0, 0, 0, 9, 0, 0, 0], [0, 0, 9, 9, 0, 0, 9, 0, 9, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 9], [0, 9, 0, 0, 0, 0, 9, 0, 9, 9, 0, 9, 0, 9, 0, 9, 0, 9, 9, 0], [0, 9, 0, 9, 0, 0, 0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 9, 9, 9, 0], [0, 9, 0, 0, 9, 9, 0, 0, 9, 9, 0, 0, 0, 0, 0, 9, 9, 9, 0, 9], [9, 9, 9, 9, 0, 9, 9, 0, 0, 0, 0, 9, 0, 0, 9, 0, 0, 9, 9, 0], [9, 0, 0, 0, 9, 0, 0, 9, 0, 9, 9, 0, 0, 0, 9, 9, 0, 0, 9, 0], [9, 0, 9, 0, 9, 0, 0, 0, 9, 0, 0, 9, 9, 9, 0, 0, 0, 9, 0, 0], [9, 0, 0, 9, 0, 9, 9, 9, 0, 0, 9, 0, 9, 0, 9, 9, 0, 9, 0, 9], [9, 0, 0, 9, 9, 0, 0, 9, 9, 0, 0, 9, 0, 0, 9, 0, 9, 9, 0, 0], [0, 0, 9, 0, 0, 0, 9, 0, 9, 9, 0, 9, 9, 9, 9, 0, 0, 9, 0, 9], [0, 0, 0, 9, 9, 9, 9, 0, 9, 9, 9, 9, 0, 9, 0, 0, 9, 9, 9, 9], [9, 9, 0, 0, 0, 9, 9, 0, 0, 0, 0, 9, 9, 0, 9, 0, 0, 0, 9, 0], [0, 9, 9, 9, 9, 9, 0, 9, 9, 0, 0, 9, 0, 9, 0, 9, 9, 9, 9, 9], [9, 0, 0, 0, 0, 9, 0, 0, 0, 0, 9, 0, 9, 0, 0, 9, 0, 9, 9, 0], [9, 0, 0, 0, 9, 9, 9, 9, 9, 0, 0, 0, 9, 0, 9, 9, 0, 0, 0, 9], [0, 0, 9, 0, 9, 0, 0, 9, 9, 9, 9, 9, 9, 0, 0, 0, 9, 9, 9, 9], [0, 0, 9, 0, 0, 0, 0, 9, 9, 9, 0, 9, 9, 0, 0, 0, 0, 9, 0, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
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+            "Replicate 3": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 5, 0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0], [5, 5, 0, 0, 0, 5, 5, 0, 0, 5, 5, 0, 0, 0, 0, 5, 0, 5, 0, 0], [5, 0, 5, 5, 0, 5, 5, 5, 5, 5, 0, 0, 0, 0, 0, 5, 0, 5, 5, 0], [0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 5, 0, 5, 0, 5, 5, 0, 0, 0, 5], [5, 0, 5, 5, 0, 0, 0, 0, 0, 0, 5, 0, 5, 0, 5, 5, 0, 0, 0, 0], [5, 5, 0, 0, 5, 5, 5, 5, 0, 0, 0, 5, 0, 5, 5, 5, 0, 5, 5, 0], [5, 5, 5, 5, 5, 5, 0, 0, 5, 0, 0, 5, 5, 5, 5, 0, 0, 0, 0, 0], [5, 5, 0, 5, 5, 0, 5, 0, 0, 0, 5, 5, 5, 0, 0, 5, 0, 5, 0, 5], [5, 5, 5, 5, 0, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0, 5, 5, 5, 5], [5, 0, 5, 5, 0, 5, 5, 5, 5, 0, 5, 0, 5, 5, 0, 0, 5, 0, 5, 0], [5, 5, 0, 5, 5, 5, 5, 0, 5, 0, 0, 5, 5, 5, 5, 5, 5, 5, 0, 5], [5, 5, 0, 5, 0, 5, 5, 0, 5, 0, 0, 0, 5, 0, 5, 5, 5, 0, 5, 5], [0, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 5, 5, 0, 0, 0, 5, 0, 0, 5], [5, 5, 5, 5, 0, 0, 0, 0, 5, 0, 5, 5, 0, 0, 5, 0, 0, 5, 5, 5], [0, 5, 0, 0, 5, 0, 0, 0, 5, 5, 5, 5, 0, 0, 0, 0, 5, 0, 0, 0], [0, 5, 5, 5, 0, 0, 0, 5, 0, 5, 5, 5, 0, 0, 0, 5, 5, 0, 0, 0], [5, 0, 0, 5, 0, 0, 0, 0, 0, 0, 5, 5, 5, 5, 5, 0, 5, 0, 5, 0], [0, 0, 0, 5, 0, 0, 5, 5, 0, 5, 0, 0, 0, 0, 0, 5, 5, 0, 5, 0], [0, 5, 0, 5, 5, 5, 5, 0, 0, 5, 5, 0, 0, 0, 0, 0, 5, 5, 0, 5], [0, 5, 5, 0, 5, 0, 5, 5, 5, 0, 0, 0, 0, 5, 0, 5, 0, 0, 5, 5], [9, 0, 9, 0, 9, 0, 0, 0, 9, 9, 0, 9, 0, 0, 9, 9, 9, 9, 9, 9], [0, 9, 9, 0, 0, 9, 0, 0, 0, 9, 9, 9, 9, 0, 0, 9, 0, 9, 0, 9], [0, 0, 0, 0, 9, 0, 0, 9, 0, 9, 0, 9, 0, 0, 9, 0, 0, 9, 9, 0], [0, 0, 0, 0, 9, 9, 0, 9, 0, 0, 0, 9, 0, 0, 0, 9, 9, 0, 0, 0], [0, 9, 0, 0, 0, 9, 0, 9, 0, 0, 9, 0, 0, 0, 9, 0, 0, 9, 0, 9], [9, 0, 0, 0, 0, 9, 0, 9, 0, 0, 9, 9, 9, 9, 9, 9, 0, 0, 0, 9], [0, 0, 9, 9, 9, 9, 9, 0, 9, 0, 9, 9, 0, 9, 0, 9, 9, 0, 0, 0], [0, 9, 9, 9, 0, 9, 0, 9, 9, 0, 0, 0, 0, 0, 9, 9, 0, 0, 9, 0], [9, 0, 9, 9, 0, 0, 0, 0, 9, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0], [9, 9, 0, 0, 9, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 0, 9, 9, 0, 9], [9, 0, 0, 9, 0, 0, 9, 9, 9, 0, 9, 9, 0, 9, 0, 9, 0, 0, 0, 9], [9, 9, 9, 0, 9, 9, 9, 9, 0, 0, 0, 9, 0, 9, 0, 0, 9, 0, 9, 9], [0, 9, 0, 0, 0, 0, 9, 9, 0, 9, 9, 0, 9, 0, 0, 0, 0, 9, 0, 9], [9, 0, 0, 0, 9, 0, 0, 0, 0, 9, 0, 0, 0, 9, 9, 9, 9, 9, 9, 0], [9, 0, 0, 9, 0, 9, 0, 9, 0, 9, 0, 0, 0, 9, 9, 9, 0, 9, 9, 9], [9, 0, 9, 9, 9, 9, 9, 9, 0, 0, 9, 9, 0, 9, 9, 9, 0, 9, 0, 9], [0, 9, 9, 9, 9, 0, 0, 0, 9, 0, 9, 0, 0, 9, 9, 9, 0, 9, 0, 9], [0, 9, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 0, 0, 9, 0, 0], [0, 9, 9, 0, 0, 0, 0, 0, 0, 9, 9, 9, 0, 9, 9, 0, 9, 0, 0, 9], [0, 0, 0, 9, 9, 9, 0, 0, 0, 0, 0, 9, 0, 0, 9, 0, 0, 9, 0, 9], [6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0], [0, 6, 6, 0, 0, 6, 0, 6, 0, 0, 0, 6, 6, 0, 0, 6, 0, 0, 0, 6], [0, 6, 0, 0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 6, 6, 6, 0, 0, 6, 0, 0, 0, 0, 6, 6, 6, 0, 6, 0], [0, 6, 6, 0, 0, 6, 0, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 0], [6, 0, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 6, 6], [0, 0, 0, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 0, 0, 6, 6], [6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 6, 6, 6, 6], [0, 0, 0, 0, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0, 0, 6, 0, 0, 6, 6], [6, 6, 6, 6, 6, 6, 0, 6, 0, 0, 6, 6, 0, 0, 0, 6, 0, 0, 6, 6], [0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 6, 0, 6, 6, 0, 6], [0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 6, 6, 0, 6], [0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0], [6, 6, 6, 6, 6, 6, 0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 0, 6], [0, 6, 0, 6, 0, 0, 0, 6, 6, 0, 0, 6, 6, 6, 6, 6, 0, 6, 6, 0], [0, 6, 0, 0, 0, 0, 6, 0, 6, 0, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0], [0, 6, 0, 6, 0, 6, 6, 0, 6, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 6], [6, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0], [6, 0, 6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0], [0, 6, 6, 0, 6, 0, 0, 6, 0, 6, 0, 6, 0, 0, 0, 6, 0, 6, 6, 6]] -> [[7, 7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 0, 0], [0, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7, 7, 7, 0, 0, 0, 0, 7, 0, 7], [0, 7, 0, 0, 0, 7, 0, 0, 7, 7, 7, 7, 7, 7, 0, 0, 0, 7, 7, 0], [0, 7, 0, 0, 0, 0, 7, 7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 0, 7, 0], [0, 7, 7, 0, 0, 7, 0, 0, 7, 0, 0, 7, 0, 0, 0, 7, 7, 7, 0, 0], [0, 0, 7, 7, 0, 7, 0, 7, 7, 7, 7, 0, 7, 0, 0, 7, 0, 0, 7, 7], [0, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 7, 7], [7, 0, 7, 7, 0, 0, 0, 0, 7, 7, 0, 0, 7, 7, 0, 7, 7, 7, 7, 7], [7, 0, 7, 7, 0, 0, 7, 0, 7, 7, 0, 0, 0, 0, 0, 7, 0, 0, 7, 7], [0, 7, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7, 0, 0, 0, 7, 7, 0, 7, 7], [7, 7, 0, 0, 0, 7, 7, 7, 7, 0, 0, 7, 0, 7, 7, 7, 7, 7, 0, 0], [7, 7, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 7, 7, 0], [0, 0, 0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 7, 7, 0, 0, 0, 7, 7, 7], [0, 7, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 0, 7, 7], [0, 7, 0, 7, 0, 0, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7, 7, 0], [0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 7, 0, 7, 7, 7, 7, 7, 0, 7, 0], [0, 7, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7], [7, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0], [7, 7, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 0, 7, 0, 0, 0, 7], [0, 7, 7, 0, 0, 0, 0, 7, 0, 7, 0, 7, 0, 0, 0, 7, 0, 7, 7, 0]]\nExample input-output arrays:\n[[0, 0, 5, 0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0], [5, 5, 0, 0, 0, 5, 5, 0, 0, 5, 5, 0, 0, 0, 0, 5, 0, 5, 0, 0], [5, 0, 5, 5, 0, 5, 5, 5, 5, 5, 0, 0, 0, 0, 0, 5, 0, 5, 5, 0], [0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 5, 0, 5, 0, 5, 5, 0, 0, 0, 5], [5, 0, 5, 5, 0, 0, 0, 0, 0, 0, 5, 0, 5, 0, 5, 5, 0, 0, 0, 0], [5, 5, 0, 0, 5, 5, 5, 5, 0, 0, 0, 5, 0, 5, 5, 5, 0, 5, 5, 0], [5, 5, 5, 5, 5, 5, 0, 0, 5, 0, 0, 5, 5, 5, 5, 0, 0, 0, 0, 0], [5, 5, 0, 5, 5, 0, 5, 0, 0, 0, 5, 5, 5, 0, 0, 5, 0, 5, 0, 5], [5, 5, 5, 5, 0, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0, 5, 5, 5, 5], [5, 0, 5, 5, 0, 5, 5, 5, 5, 0, 5, 0, 5, 5, 0, 0, 5, 0, 5, 0], [5, 5, 0, 5, 5, 5, 5, 0, 5, 0, 0, 5, 5, 5, 5, 5, 5, 5, 0, 5], [5, 5, 0, 5, 0, 5, 5, 0, 5, 0, 0, 0, 5, 0, 5, 5, 5, 0, 5, 5], [0, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 5, 5, 0, 0, 0, 5, 0, 0, 5], [5, 5, 5, 5, 0, 0, 0, 0, 5, 0, 5, 5, 0, 0, 5, 0, 0, 5, 5, 5], [0, 5, 0, 0, 5, 0, 0, 0, 5, 5, 5, 5, 0, 0, 0, 0, 5, 0, 0, 0], [0, 5, 5, 5, 0, 0, 0, 5, 0, 5, 5, 5, 0, 0, 0, 5, 5, 0, 0, 0], [5, 0, 0, 5, 0, 0, 0, 0, 0, 0, 5, 5, 5, 5, 5, 0, 5, 0, 5, 0], [0, 0, 0, 5, 0, 0, 5, 5, 0, 5, 0, 0, 0, 0, 0, 5, 5, 0, 5, 0], [0, 5, 0, 5, 5, 5, 5, 0, 0, 5, 5, 0, 0, 0, 0, 0, 5, 5, 0, 5], [0, 5, 5, 0, 5, 0, 5, 5, 5, 0, 0, 0, 0, 5, 0, 5, 0, 0, 5, 5], [9, 0, 9, 0, 9, 0, 0, 0, 9, 9, 0, 9, 0, 0, 9, 9, 9, 9, 9, 9], [0, 9, 9, 0, 0, 9, 0, 0, 0, 9, 9, 9, 9, 0, 0, 9, 0, 9, 0, 9], [0, 0, 0, 0, 9, 0, 0, 9, 0, 9, 0, 9, 0, 0, 9, 0, 0, 9, 9, 0], [0, 0, 0, 0, 9, 9, 0, 9, 0, 0, 0, 9, 0, 0, 0, 9, 9, 0, 0, 0], [0, 9, 0, 0, 0, 9, 0, 9, 0, 0, 9, 0, 0, 0, 9, 0, 0, 9, 0, 9], [9, 0, 0, 0, 0, 9, 0, 9, 0, 0, 9, 9, 9, 9, 9, 9, 0, 0, 0, 9], [0, 0, 9, 9, 9, 9, 9, 0, 9, 0, 9, 9, 0, 9, 0, 9, 9, 0, 0, 0], [0, 9, 9, 9, 0, 9, 0, 9, 9, 0, 0, 0, 0, 0, 9, 9, 0, 0, 9, 0], [9, 0, 9, 9, 0, 0, 0, 0, 9, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0], [9, 9, 0, 0, 9, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 0, 9, 9, 0, 9], [9, 0, 0, 9, 0, 0, 9, 9, 9, 0, 9, 9, 0, 9, 0, 9, 0, 0, 0, 9], [9, 9, 9, 0, 9, 9, 9, 9, 0, 0, 0, 9, 0, 9, 0, 0, 9, 0, 9, 9], [0, 9, 0, 0, 0, 0, 9, 9, 0, 9, 9, 0, 9, 0, 0, 0, 0, 9, 0, 9], [9, 0, 0, 0, 9, 0, 0, 0, 0, 9, 0, 0, 0, 9, 9, 9, 9, 9, 9, 0], [9, 0, 0, 9, 0, 9, 0, 9, 0, 9, 0, 0, 0, 9, 9, 9, 0, 9, 9, 9], [9, 0, 9, 9, 9, 9, 9, 9, 0, 0, 9, 9, 0, 9, 9, 9, 0, 9, 0, 9], [0, 9, 9, 9, 9, 0, 0, 0, 9, 0, 9, 0, 0, 9, 9, 9, 0, 9, 0, 9], [0, 9, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 0, 0, 9, 0, 0], [0, 9, 9, 0, 0, 0, 0, 0, 0, 9, 9, 9, 0, 9, 9, 0, 9, 0, 0, 9], [0, 0, 0, 9, 9, 9, 0, 0, 0, 0, 0, 9, 0, 0, 9, 0, 0, 9, 0, 9], [6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0], [0, 6, 6, 0, 0, 6, 0, 6, 0, 0, 0, 6, 6, 0, 0, 6, 0, 0, 0, 6], [0, 6, 0, 0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 6, 6, 6, 0, 0, 6, 0, 0, 0, 0, 6, 6, 6, 0, 6, 0], [0, 6, 6, 0, 0, 6, 0, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 0], [6, 0, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 6, 6], [0, 0, 0, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 0, 0, 6, 6], [6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 6, 6, 6, 6], [0, 0, 0, 0, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0, 0, 6, 0, 0, 6, 6], [6, 6, 6, 6, 6, 6, 0, 6, 0, 0, 6, 6, 0, 0, 0, 6, 0, 0, 6, 6], [0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 6, 0, 6, 6, 0, 6], [0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 6, 6, 0, 6], [0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0], [6, 6, 6, 6, 6, 6, 0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 0, 6], [0, 6, 0, 6, 0, 0, 0, 6, 6, 0, 0, 6, 6, 6, 6, 6, 0, 6, 6, 0], [0, 6, 0, 0, 0, 0, 6, 0, 6, 0, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0], [0, 6, 0, 6, 0, 6, 6, 0, 6, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 6], [6, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0], [6, 0, 6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0], [0, 6, 6, 0, 6, 0, 0, 6, 0, 6, 0, 6, 0, 0, 0, 6, 0, 6, 6, 6]] -> [[7, 7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 0, 0], [0, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7, 7, 7, 0, 0, 0, 0, 7, 0, 7], [0, 7, 0, 0, 0, 7, 0, 0, 7, 7, 7, 7, 7, 7, 0, 0, 0, 7, 7, 0], [0, 7, 0, 0, 0, 0, 7, 7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 0, 7, 0], [0, 7, 7, 0, 0, 7, 0, 0, 7, 0, 0, 7, 0, 0, 0, 7, 7, 7, 0, 0], [0, 0, 7, 7, 0, 7, 0, 7, 7, 7, 7, 0, 7, 0, 0, 7, 0, 0, 7, 7], [0, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 7, 7], [7, 0, 7, 7, 0, 0, 0, 0, 7, 7, 0, 0, 7, 7, 0, 7, 7, 7, 7, 7], [7, 0, 7, 7, 0, 0, 7, 0, 7, 7, 0, 0, 0, 0, 0, 7, 0, 0, 7, 7], [0, 7, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7, 0, 0, 0, 7, 7, 0, 7, 7], [7, 7, 0, 0, 0, 7, 7, 7, 7, 0, 0, 7, 0, 7, 7, 7, 7, 7, 0, 0], [7, 7, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 7, 7, 0], [0, 0, 0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 7, 7, 0, 0, 0, 7, 7, 7], [0, 7, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 0, 7, 7], [0, 7, 0, 7, 0, 0, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7, 7, 0], [0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 7, 0, 7, 7, 7, 7, 7, 0, 7, 0], [0, 7, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7], [7, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0], [7, 7, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 0, 7, 0, 0, 0, 7], [0, 7, 7, 0, 0, 0, 0, 7, 0, 7, 0, 7, 0, 0, 0, 7, 0, 7, 7, 0]]\nExample input-output arrays:\n[[5, 5, 0, 0, 5, 5, 0, 0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 5, 5, 0], [5, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5], [5, 0, 0, 5, 0, 0, 0, 5, 0, 5, 0, 5, 0, 5, 0, 5, 5, 5, 0, 5], [0, 0, 0, 5, 5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 0], [5, 5, 5, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 5, 5], [0, 0, 5, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 0, 5, 5, 5, 0, 0, 0], [5, 0, 0, 5, 5, 5, 0, 5, 0, 5, 5, 0, 0, 0, 5, 0, 0, 0, 5, 5], [0, 0, 5, 5, 5, 5, 0, 5, 0, 5, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0], [0, 5, 5, 5, 5, 0, 5, 5, 0, 0, 0, 0, 5, 0, 5, 0, 0, 0, 0, 0], [5, 0, 5, 0, 0, 5, 0, 5, 5, 5, 0, 0, 0, 0, 5, 5, 5, 0, 0, 5], [5, 5, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 5, 0, 5, 0, 0, 5, 0, 5], [0, 0, 5, 5, 5, 5, 0, 5, 5, 5, 0, 0, 5, 5, 0, 0, 0, 5, 5, 0], [0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 0, 5, 5], [0, 0, 5, 0, 5, 5, 0, 5, 0, 5, 0, 5, 5, 0, 5, 5, 0, 5, 5, 0], [5, 0, 5, 0, 0, 5, 0, 0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 5, 5, 5], [0, 5, 5, 0, 5, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 0, 5, 0, 0, 0], [5, 0, 0, 0, 0, 0, 5, 5, 0, 5, 0, 0, 5, 0, 5, 5, 5, 5, 5, 0], [0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0, 5, 0, 5, 5, 5, 0], [0, 5, 5, 5, 0, 5, 0, 0, 5, 5, 5, 5, 5, 0, 0, 5, 5, 5, 0, 5], [0, 0, 5, 5, 5, 0, 0, 0, 5, 0, 5, 5, 0, 0, 0, 5, 0, 0, 5, 0], [0, 9, 0, 9, 0, 9, 9, 9, 9, 0, 0, 9, 9, 0, 0, 0, 9, 0, 0, 9], [9, 9, 0, 9, 0, 0, 9, 9, 0, 0, 9, 9, 0, 0, 9, 9, 0, 9, 9, 0], [0, 9, 9, 9, 9, 0, 9, 0, 9, 0, 0, 9, 0, 0, 9, 9, 9, 0, 9, 9], [0, 9, 0, 0, 0, 9, 0, 0, 0, 9, 9, 0, 9, 0, 9, 9, 9, 9, 9, 9], [0, 9, 0, 0, 9, 0, 0, 0, 0, 9, 0, 9, 9, 9, 9, 9, 0, 0, 0, 9], [0, 9, 9, 9, 0, 0, 0, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 9, 9], [0, 0, 9, 0, 0, 0, 0, 9, 0, 0, 0, 9, 9, 9, 0, 0, 0, 9, 9, 0], [0, 9, 9, 9, 0, 0, 9, 0, 0, 9, 0, 9, 9, 9, 9, 9, 0, 0, 0, 0], [9, 0, 9, 0, 0, 0, 9, 9, 9, 0, 9, 9, 0, 0, 9, 9, 0, 0, 9, 9], [0, 9, 9, 9, 9, 0, 0, 0, 9, 0, 9, 0, 0, 0, 0, 0, 0, 9, 9, 9], [0, 9, 9, 0, 0, 9, 0, 9, 0, 9, 0, 0, 9, 9, 9, 0, 0, 0, 9, 0], [9, 9, 0, 0, 0, 9, 9, 0, 9, 0, 0, 9, 0, 9, 9, 9, 9, 9, 9, 9], [0, 9, 0, 9, 0, 0, 0, 9, 0, 0, 9, 0, 0, 9, 0, 0, 0, 9, 9, 9], [0, 0, 9, 9, 9, 0, 0, 0, 9, 9, 0, 0, 0, 9, 9, 9, 0, 9, 9, 0], [0, 0, 0, 0, 0, 9, 0, 9, 0, 0, 0, 9, 9, 0, 9, 0, 0, 9, 9, 0], [0, 0, 0, 0, 9, 0, 9, 9, 0, 0, 9, 9, 0, 0, 0, 9, 0, 9, 0, 0], [9, 0, 0, 0, 9, 0, 9, 9, 9, 0, 0, 9, 0, 9, 9, 9, 9, 0, 9, 0], [0, 0, 0, 9, 0, 0, 9, 0, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0, 0, 0], [0, 0, 9, 9, 0, 9, 0, 0, 0, 0, 0, 0, 0, 9, 9, 0, 9, 0, 0, 0], [0, 0, 0, 9, 0, 0, 0, 9, 9, 0, 9, 0, 0, 9, 0, 0, 0, 0, 0, 0], [0, 6, 0, 6, 6, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 6, 0], [6, 0, 6, 6, 6, 0, 6, 0, 0, 6, 0, 0, 0, 6, 6, 6, 0, 6, 6, 6], [0, 0, 6, 6, 0, 0, 6, 6, 6, 0, 0, 6, 0, 0, 6, 0, 6, 6, 6, 0], [0, 0, 6, 6, 6, 6, 0, 6, 6, 0, 0, 6, 0, 6, 6, 0, 0, 0, 6, 6], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 6, 6, 6, 0, 6, 6], [6, 6, 6, 0, 0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 0, 0, 6, 6, 6], [6, 6, 6, 6, 6, 0, 0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 6, 6, 0, 6], [6, 0, 0, 6, 0, 6, 0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 0, 0], [0, 0, 0, 0, 0, 6, 0, 0, 6, 0, 0, 0, 6, 0, 6, 6, 0, 0, 0, 0], [0, 0, 6, 0, 6, 0, 0, 6, 0, 6, 6, 6, 0, 0, 0, 6, 6, 6, 6, 0], [6, 0, 0, 6, 6, 0, 0, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 0, 6, 0], [6, 0, 6, 0, 0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 0, 0, 0, 6, 0, 0], [0, 6, 0, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0, 6, 0, 0, 0, 0, 6, 6], [6, 6, 0, 0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6], [6, 6, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 0, 6], [0, 6, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 6], [6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 0, 6], [6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6, 0, 6, 6, 6, 0, 6, 0], [0, 0, 6, 0, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 0, 6, 0, 6]] -> [[0, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7, 0], [0, 0, 7, 7, 7, 0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7], [0, 0, 7, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0, 7, 7, 7], [0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 7, 0, 0, 7], [0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 7, 7, 7, 0, 7, 0], [7, 7, 0, 0, 0, 7, 0, 7, 7, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 0, 0, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7], [7, 0, 7, 0, 0, 7, 0, 7, 0, 0, 7, 7, 0, 0, 7, 0, 7, 7, 0, 0], [0, 0, 7, 0, 0, 7, 7, 7, 7, 0, 0, 0, 7, 0, 0, 7, 0, 0, 0, 0], [0, 0, 0, 0, 7, 0, 0, 7, 7, 7, 7, 7, 0, 0, 0, 7, 7, 7, 7, 7], [7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 7, 7, 0, 7, 0], [7, 0, 7, 0, 0, 7, 7, 7, 7, 0, 0, 7, 7, 7, 0, 0, 0, 0, 7, 0], [0, 0, 0, 7, 7, 7, 7, 7, 0, 7, 7, 7, 0, 7, 0, 0, 0, 0, 0, 0], [7, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 0, 0, 7], [7, 7, 0, 7, 7, 7, 7, 7, 0, 0, 7, 7, 0, 0, 0, 7, 7, 7, 7, 7], [0, 7, 0, 0, 7, 0, 7, 7, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7], [0, 7, 0, 0, 0, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7], [7, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 7, 7, 7, 7], [7, 7, 0, 0, 7, 0, 0, 7, 7, 0, 0, 0, 7, 0, 7, 7, 0, 0, 7, 0], [0, 0, 7, 7, 7, 7, 7, 7, 0, 0, 7, 0, 0, 0, 7, 0, 0, 7, 0, 7]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 5, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 5, 5, 0], [0, 5, 5, 5, 5, 0, 5, 0, 5, 0, 5, 0, 5, 0, 0, 5, 5, 0, 5, 0], [0, 5, 5, 5, 5, 5, 0, 5, 0, 5, 0, 0, 5, 5, 0, 5, 0, 5, 0, 0], [0, 5, 0, 0, 0, 0, 0, 5, 5, 0, 5, 0, 5, 0, 0, 0, 5, 0, 0, 0], [5, 0, 5, 0, 0, 5, 5, 5, 0, 0, 0, 0, 5, 5, 0, 5, 5, 0, 0, 0], [0, 0, 0, 5, 0, 5, 0, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 0, 5, 0], [5, 5, 5, 0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 5, 5], [5, 5, 5, 5, 0, 0, 5, 0, 5, 5, 5, 5, 5, 0, 0, 5, 0, 5, 0, 5], [0, 0, 0, 0, 0, 5, 5, 5, 5, 0, 5, 5, 5, 5, 0, 5, 0, 0, 5, 0], [5, 0, 5, 0, 5, 0, 5, 0, 0, 0, 5, 5, 0, 5, 5, 5, 0, 0, 0, 0], [5, 0, 5, 0, 5, 5, 5, 0, 5, 5, 5, 0, 5, 5, 5, 5, 0, 5, 0, 5], [0, 5, 5, 5, 0, 5, 5, 5, 5, 0, 0, 5, 5, 0, 5, 5, 5, 0, 5, 5], [5, 5, 0, 5, 0, 5, 0, 0, 0, 0, 0, 5, 5, 0, 5, 0, 5, 0, 5, 5], [5, 0, 0, 5, 0, 5, 5, 0, 0, 0, 0, 0, 0, 5, 0, 5, 5, 0, 0, 0], [5, 0, 0, 0, 0, 5, 5, 0, 0, 5, 5, 0, 0, 0, 5, 0, 0, 5, 0, 5], [0, 0, 0, 0, 0, 5, 5, 5, 5, 5, 5, 0, 0, 5, 0, 5, 5, 5, 0, 0], [0, 0, 5, 0, 0, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 0, 0, 0, 0, 5], [5, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 5, 5, 5, 5, 0, 5, 0, 0, 5], [0, 5, 5, 0, 5, 0, 5, 5, 5, 0, 0, 5, 0, 0, 0, 5, 0, 0, 5, 5], [5, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 5, 0, 5, 0, 5, 5, 0, 0, 5], [9, 9, 0, 0, 9, 9, 9, 0, 9, 0, 9, 9, 0, 0, 0, 9, 0, 0, 9, 9], [0, 9, 9, 0, 0, 9, 9, 0, 9, 0, 9, 9, 0, 0, 9, 9, 0, 9, 0, 0], [0, 0, 0, 9, 9, 9, 9, 9, 9, 0, 9, 9, 9, 9, 0, 9, 9, 0, 0, 9], [9, 9, 0, 9, 9, 9, 0, 0, 9, 9, 0, 0, 9, 9, 0, 0, 9, 9, 9, 9], [9, 0, 9, 0, 0, 9, 9, 9, 9, 0, 9, 9, 0, 9, 0, 0, 9, 0, 0, 0], [9, 9, 9, 0, 9, 9, 9, 9, 9, 0, 9, 0, 9, 0, 0, 0, 0, 9, 0, 0], [0, 9, 9, 0, 0, 0, 9, 0, 0, 0, 9, 0, 9, 9, 9, 0, 0, 0, 9, 9], [0, 0, 9, 9, 9, 9, 9, 0, 9, 0, 0, 9, 9, 9, 9, 0, 9, 0, 0, 0], [9, 9, 9, 9, 0, 9, 9, 9, 9, 9, 0, 9, 9, 0, 0, 0, 0, 0, 0, 9], [0, 9, 0, 9, 9, 9, 9, 9, 9, 9, 0, 0, 9, 0, 9, 0, 9, 9, 9, 0], [9, 0, 0, 9, 0, 9, 9, 9, 9, 9, 9, 0, 0, 9, 9, 9, 9, 0, 0, 9], [9, 0, 0, 0, 0, 0, 9, 9, 9, 0, 0, 0, 9, 0, 9, 0, 0, 0, 9, 9], [0, 9, 9, 0, 0, 9, 0, 0, 9, 0, 0, 0, 9, 9, 0, 9, 0, 0, 9, 9], [0, 9, 9, 0, 0, 9, 9, 0, 9, 9, 9, 9, 9, 9, 9, 9, 0, 9, 9, 0], [9, 0, 9, 9, 9, 0, 0, 9, 0, 9, 9, 9, 9, 9, 0, 9, 0, 0, 9, 0], [0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 9, 0, 9, 9, 0, 9, 9], [0, 9, 9, 0, 0, 0, 9, 0, 0, 0, 0, 0, 9, 0, 9, 0, 9, 9, 0, 0], [9, 0, 9, 9, 0, 9, 0, 0, 0, 0, 9, 0, 9, 0, 0, 9, 0, 0, 0, 9], [9, 9, 0, 0, 0, 9, 0, 0, 0, 9, 0, 0, 9, 0, 0, 0, 9, 9, 9, 9], [9, 9, 0, 0, 9, 9, 0, 9, 0, 9, 9, 9, 9, 9, 0, 9, 9, 9, 0, 0], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            0,
+                            0,
+                            0,
+                            5,
+                            0,
+                            0,
+                            5,
+                            0,
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+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            5,
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+                            0
+                        ],
+                        [
+                            0,
+                            5,
+                            5,
+                            5,
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+                            5,
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+                            5,
+                            0,
+                            5,
+                            0,
+                            0,
+                            5,
+                            5,
+                            0,
+                            5,
+                            0
+                        ],
+                        [
+                            0,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
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+                            5,
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+                            5,
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+                            5,
+                            5,
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+                            5,
+                            0,
+                            5,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            5,
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+                            5,
+                            0,
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+                        ],
+                        [
+                            5,
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+                            5,
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+                            5,
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+                            0,
+                            5,
+                            5,
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+                            5,
+                            5,
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+                        ],
+                        [
+                            0,
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+                        ],
+                        [
+                            5,
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+            "Replicate 4": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[5, 5, 0, 0, 5, 5, 0, 0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 5, 5, 0], [5, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5], [5, 0, 0, 5, 0, 0, 0, 5, 0, 5, 0, 5, 0, 5, 0, 5, 5, 5, 0, 5], [0, 0, 0, 5, 5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 0], [5, 5, 5, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 5, 5], [0, 0, 5, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 0, 5, 5, 5, 0, 0, 0], [5, 0, 0, 5, 5, 5, 0, 5, 0, 5, 5, 0, 0, 0, 5, 0, 0, 0, 5, 5], [0, 0, 5, 5, 5, 5, 0, 5, 0, 5, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0], [0, 5, 5, 5, 5, 0, 5, 5, 0, 0, 0, 0, 5, 0, 5, 0, 0, 0, 0, 0], [5, 0, 5, 0, 0, 5, 0, 5, 5, 5, 0, 0, 0, 0, 5, 5, 5, 0, 0, 5], [5, 5, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 5, 0, 5, 0, 0, 5, 0, 5], [0, 0, 5, 5, 5, 5, 0, 5, 5, 5, 0, 0, 5, 5, 0, 0, 0, 5, 5, 0], [0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 0, 5, 5], [0, 0, 5, 0, 5, 5, 0, 5, 0, 5, 0, 5, 5, 0, 5, 5, 0, 5, 5, 0], [5, 0, 5, 0, 0, 5, 0, 0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 5, 5, 5], [0, 5, 5, 0, 5, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 0, 5, 0, 0, 0], [5, 0, 0, 0, 0, 0, 5, 5, 0, 5, 0, 0, 5, 0, 5, 5, 5, 5, 5, 0], [0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0, 5, 0, 5, 5, 5, 0], [0, 5, 5, 5, 0, 5, 0, 0, 5, 5, 5, 5, 5, 0, 0, 5, 5, 5, 0, 5], [0, 0, 5, 5, 5, 0, 0, 0, 5, 0, 5, 5, 0, 0, 0, 5, 0, 0, 5, 0], [0, 9, 0, 9, 0, 9, 9, 9, 9, 0, 0, 9, 9, 0, 0, 0, 9, 0, 0, 9], [9, 9, 0, 9, 0, 0, 9, 9, 0, 0, 9, 9, 0, 0, 9, 9, 0, 9, 9, 0], [0, 9, 9, 9, 9, 0, 9, 0, 9, 0, 0, 9, 0, 0, 9, 9, 9, 0, 9, 9], [0, 9, 0, 0, 0, 9, 0, 0, 0, 9, 9, 0, 9, 0, 9, 9, 9, 9, 9, 9], [0, 9, 0, 0, 9, 0, 0, 0, 0, 9, 0, 9, 9, 9, 9, 9, 0, 0, 0, 9], [0, 9, 9, 9, 0, 0, 0, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 9, 9], [0, 0, 9, 0, 0, 0, 0, 9, 0, 0, 0, 9, 9, 9, 0, 0, 0, 9, 9, 0], [0, 9, 9, 9, 0, 0, 9, 0, 0, 9, 0, 9, 9, 9, 9, 9, 0, 0, 0, 0], [9, 0, 9, 0, 0, 0, 9, 9, 9, 0, 9, 9, 0, 0, 9, 9, 0, 0, 9, 9], [0, 9, 9, 9, 9, 0, 0, 0, 9, 0, 9, 0, 0, 0, 0, 0, 0, 9, 9, 9], [0, 9, 9, 0, 0, 9, 0, 9, 0, 9, 0, 0, 9, 9, 9, 0, 0, 0, 9, 0], [9, 9, 0, 0, 0, 9, 9, 0, 9, 0, 0, 9, 0, 9, 9, 9, 9, 9, 9, 9], [0, 9, 0, 9, 0, 0, 0, 9, 0, 0, 9, 0, 0, 9, 0, 0, 0, 9, 9, 9], [0, 0, 9, 9, 9, 0, 0, 0, 9, 9, 0, 0, 0, 9, 9, 9, 0, 9, 9, 0], [0, 0, 0, 0, 0, 9, 0, 9, 0, 0, 0, 9, 9, 0, 9, 0, 0, 9, 9, 0], [0, 0, 0, 0, 9, 0, 9, 9, 0, 0, 9, 9, 0, 0, 0, 9, 0, 9, 0, 0], [9, 0, 0, 0, 9, 0, 9, 9, 9, 0, 0, 9, 0, 9, 9, 9, 9, 0, 9, 0], [0, 0, 0, 9, 0, 0, 9, 0, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0, 0, 0], [0, 0, 9, 9, 0, 9, 0, 0, 0, 0, 0, 0, 0, 9, 9, 0, 9, 0, 0, 0], [0, 0, 0, 9, 0, 0, 0, 9, 9, 0, 9, 0, 0, 9, 0, 0, 0, 0, 0, 0], [0, 6, 0, 6, 6, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 6, 0], [6, 0, 6, 6, 6, 0, 6, 0, 0, 6, 0, 0, 0, 6, 6, 6, 0, 6, 6, 6], [0, 0, 6, 6, 0, 0, 6, 6, 6, 0, 0, 6, 0, 0, 6, 0, 6, 6, 6, 0], [0, 0, 6, 6, 6, 6, 0, 6, 6, 0, 0, 6, 0, 6, 6, 0, 0, 0, 6, 6], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 6, 6, 6, 0, 6, 6], [6, 6, 6, 0, 0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 0, 0, 6, 6, 6], [6, 6, 6, 6, 6, 0, 0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 6, 6, 0, 6], [6, 0, 0, 6, 0, 6, 0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 0, 0], [0, 0, 0, 0, 0, 6, 0, 0, 6, 0, 0, 0, 6, 0, 6, 6, 0, 0, 0, 0], [0, 0, 6, 0, 6, 0, 0, 6, 0, 6, 6, 6, 0, 0, 0, 6, 6, 6, 6, 0], [6, 0, 0, 6, 6, 0, 0, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 0, 6, 0], [6, 0, 6, 0, 0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 0, 0, 0, 6, 0, 0], [0, 6, 0, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0, 6, 0, 0, 0, 0, 6, 6], [6, 6, 0, 0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6], [6, 6, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 0, 6], [0, 6, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 6], [6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 0, 6], [6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6, 0, 6, 6, 6, 0, 6, 0], [0, 0, 6, 0, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 0, 6, 0, 6]] -> [[0, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7, 0], [0, 0, 7, 7, 7, 0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7], [0, 0, 7, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0, 7, 7, 7], [0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 7, 0, 0, 7], [0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 7, 7, 7, 0, 7, 0], [7, 7, 0, 0, 0, 7, 0, 7, 7, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 0, 0, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7], [7, 0, 7, 0, 0, 7, 0, 7, 0, 0, 7, 7, 0, 0, 7, 0, 7, 7, 0, 0], [0, 0, 7, 0, 0, 7, 7, 7, 7, 0, 0, 0, 7, 0, 0, 7, 0, 0, 0, 0], [0, 0, 0, 0, 7, 0, 0, 7, 7, 7, 7, 7, 0, 0, 0, 7, 7, 7, 7, 7], [7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 7, 7, 0, 7, 0], [7, 0, 7, 0, 0, 7, 7, 7, 7, 0, 0, 7, 7, 7, 0, 0, 0, 0, 7, 0], [0, 0, 0, 7, 7, 7, 7, 7, 0, 7, 7, 7, 0, 7, 0, 0, 0, 0, 0, 0], [7, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 0, 0, 7], [7, 7, 0, 7, 7, 7, 7, 7, 0, 0, 7, 7, 0, 0, 0, 7, 7, 7, 7, 7], [0, 7, 0, 0, 7, 0, 7, 7, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7], [0, 7, 0, 0, 0, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7], [7, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 7, 7, 7, 7], [7, 7, 0, 0, 7, 0, 0, 7, 7, 0, 0, 0, 7, 0, 7, 7, 0, 0, 7, 0], [0, 0, 7, 7, 7, 7, 7, 7, 0, 0, 7, 0, 0, 0, 7, 0, 0, 7, 0, 7]]\nExample input-output arrays:\n[[5, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 5, 0, 5, 0, 0, 0, 0, 5, 0], [0, 0, 0, 5, 0, 5, 0, 0, 0, 5, 5, 0, 5, 5, 5, 0, 5, 5, 5, 0], [5, 0, 0, 0, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 0, 0, 5, 5, 5, 0], [0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 5, 5, 0], [5, 5, 5, 0, 0, 0, 0, 5, 0, 0, 0, 5, 5, 0, 5, 5, 5, 0, 0, 5], [0, 0, 5, 5, 0, 5, 0, 5, 0, 0, 0, 0, 5, 0, 5, 5, 5, 0, 5, 0], [0, 5, 5, 5, 0, 5, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 0, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 5, 5, 0, 5, 0, 0, 5, 5, 0, 0], [0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 5, 5, 5, 5, 0, 0], [5, 5, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 5, 5, 5], [0, 0, 0, 0, 5, 5, 0, 5, 5, 0, 5, 5, 0, 0, 0, 0, 5, 5, 0, 0], [0, 5, 5, 5, 5, 5, 5, 0, 5, 0, 0, 5, 5, 0, 0, 5, 0, 5, 0, 5], [0, 5, 0, 5, 5, 5, 5, 5, 5, 0, 5, 5, 0, 0, 5, 0, 0, 5, 0, 5], [0, 0, 0, 5, 0, 0, 5, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 0, 0, 0], [0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 5, 5, 5, 5, 5, 5, 0, 5, 5], [5, 5, 0, 0, 5, 0, 5, 5, 5, 5, 0, 5, 0, 5, 0, 5, 0, 0, 0, 5], [0, 5, 5, 5, 0, 5, 5, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 5], [0, 0, 0, 0, 5, 5, 5, 5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 5, 0, 5], [0, 5, 5, 0, 0, 5, 5, 0, 0, 5, 0, 5, 0, 5, 5, 5, 5, 5, 0, 0], [5, 5, 5, 5, 0, 0, 5, 0, 0, 0, 5, 0, 5, 5, 5, 5, 5, 5, 5, 0], [0, 0, 9, 9, 9, 0, 9, 0, 0, 0, 9, 0, 0, 0, 0, 9, 0, 9, 9, 0], [9, 9, 0, 0, 0, 9, 9, 0, 0, 0, 0, 9, 0, 9, 0, 0, 9, 0, 0, 0], [9, 9, 0, 9, 0, 0, 0, 9, 0, 9, 0, 0, 0, 0, 9, 9, 0, 9, 9, 0], [0, 0, 9, 0, 0, 0, 9, 0, 0, 9, 9, 9, 0, 9, 0, 0, 0, 0, 0, 9], [0, 0, 0, 0, 9, 0, 0, 9, 0, 9, 9, 0, 9, 0, 9, 9, 0, 0, 9, 9], [9, 9, 0, 9, 9, 9, 0, 0, 9, 0, 9, 0, 9, 9, 9, 0, 9, 0, 0, 9], [9, 9, 9, 9, 0, 9, 9, 0, 9, 9, 9, 9, 0, 9, 9, 9, 9, 0, 0, 9], [9, 9, 9, 9, 9, 0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 0, 0, 0, 9], [9, 9, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 0, 0, 9, 9, 0, 0, 9], [0, 0, 0, 9, 0, 0, 9, 0, 0, 0, 9, 9, 0, 0, 9, 0, 9, 0, 0, 0], [0, 0, 0, 0, 9, 0, 9, 0, 0, 0, 9, 9, 0, 0, 9, 9, 9, 9, 9, 9], [0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 9, 0, 9, 9, 0, 0], [0, 9, 0, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 0, 9, 0, 9, 9, 0], [0, 9, 9, 9, 9, 0, 9, 9, 9, 9, 9, 9, 9, 0, 9, 9, 0, 9, 9, 9], [0, 0, 9, 9, 9, 9, 0, 0, 9, 9, 9, 0, 9, 0, 0, 0, 9, 0, 0, 0], [9, 9, 0, 0, 0, 9, 0, 0, 0, 0, 0, 9, 9, 9, 9, 9, 0, 0, 9, 0], [0, 9, 9, 9, 0, 0, 9, 0, 9, 9, 0, 9, 0, 0, 9, 0, 9, 0, 0, 9], [0, 9, 0, 0, 0, 9, 9, 9, 9, 0, 0, 0, 0, 9, 9, 9, 0, 9, 0, 9], [0, 0, 0, 9, 9, 9, 0, 9, 0, 9, 0, 9, 9, 0, 0, 0, 9, 0, 9, 9], [0, 9, 9, 9, 9, 0, 0, 0, 9, 0, 0, 9, 9, 0, 9, 9, 0, 0, 0, 0], [6, 6, 0, 0, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 0, 6, 0, 0, 0], [6, 6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 6, 0, 6, 0, 6, 0, 6], [6, 0, 6, 6, 0, 0, 0, 0, 6, 0, 6, 6, 0, 6, 0, 6, 6, 0, 6, 0], [6, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 6, 0], [6, 6, 0, 6, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 6, 0, 0, 6, 0, 0], [6, 6, 6, 0, 6, 6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 0], [0, 6, 0, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 0, 6, 6, 6, 0, 6, 0], [6, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6], [6, 0, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0, 6, 0, 6, 6, 6, 0, 6, 6], [0, 6, 6, 6, 0, 0, 6, 6, 0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6, 0], [0, 6, 6, 0, 6, 0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6], [6, 0, 0, 0, 6, 6, 0, 6, 0, 0, 0, 0, 6, 0, 6, 6, 0, 6, 0, 0], [6, 6, 6, 6, 6, 0, 0, 6, 6, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0], [0, 6, 0, 0, 0, 0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 6, 6, 6, 6, 0], [0, 0, 6, 0, 6, 0, 0, 0, 6, 0, 0, 6, 6, 0, 0, 6, 0, 6, 0, 0], [0, 6, 6, 6, 0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 6], [0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 6, 6, 0, 6, 0, 6], [6, 0, 0, 6, 0, 6, 0, 6, 0, 6, 6, 0, 6, 0, 0, 0, 6, 6, 6, 0], [0, 0, 6, 0, 6, 6, 6, 0, 0, 6, 0, 0, 0, 6, 6, 0, 6, 0, 0, 6], [0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 6]] -> [[7, 7, 0, 0, 7, 7, 0, 0, 7, 7, 7, 7, 7, 7, 0, 0, 7, 0, 7, 0], [7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 0, 0, 0, 7, 7, 7, 0, 7], [0, 0, 7, 7, 0, 0, 0, 7, 7, 0, 7, 7, 0, 7, 0, 7, 7, 7, 0, 0], [7, 0, 7, 7, 0, 7, 7, 0, 0, 0, 0, 0, 7, 0, 7, 7, 0, 0, 7, 0], [7, 7, 0, 7, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 0, 7, 0, 7, 0, 7], [7, 7, 7, 7, 7, 0, 7, 7, 7, 0, 7, 7, 0, 0, 0, 7, 7, 0, 0, 0], [0, 0, 7, 0, 7, 7, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7, 7, 0, 7, 7], [0, 7, 0, 7, 7, 7, 7, 0, 7, 0, 7, 7, 7, 7, 0, 7, 7, 7, 0, 7], [7, 0, 7, 0, 7, 7, 7, 0, 0, 0, 0, 7, 7, 0, 7, 0, 0, 0, 7, 7], [0, 7, 7, 7, 0, 0, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 0, 7, 7, 0], [0, 7, 7, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 7, 0, 0, 7], [7, 0, 7, 0, 7, 7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7, 0, 0, 0, 0], [7, 0, 7, 7, 0, 0, 7, 7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 7, 0, 0], [0, 7, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7, 7, 7, 7, 7, 0], [0, 0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 7, 7, 7, 0, 0], [7, 0, 7, 7, 0, 0, 7, 7, 0, 0, 0, 0, 7, 7, 0, 7, 7, 7, 0, 7], [0, 7, 0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 7, 7, 0, 7, 0, 0], [7, 0, 0, 7, 0, 0, 7, 0, 7, 7, 7, 0, 7, 0, 0, 0, 7, 0, 7, 7], [0, 0, 7, 0, 7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7, 0, 0, 0, 0, 7], [0, 7, 7, 7, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 0, 0, 7]]\nExample input-output arrays:\n[[5, 0, 0, 0, 5, 5, 0, 0, 5, 5, 5, 5, 0, 5, 5, 0, 0, 0, 5, 0], [5, 5, 5, 0, 0, 5, 0, 0, 5, 0, 0, 5, 0, 0, 0, 5, 5, 0, 0, 0], [0, 5, 5, 0, 5, 5, 0, 5, 5, 5, 5, 0, 5, 0, 5, 5, 0, 5, 0, 5], [5, 5, 0, 0, 0, 0, 0, 0, 5, 5, 0, 5, 5, 5, 0, 0, 0, 5, 0, 0], [5, 5, 0, 5, 5, 5, 5, 0, 0, 5, 5, 5, 0, 0, 5, 0, 5, 5, 5, 0], [5, 0, 0, 0, 5, 5, 5, 5, 0, 0, 5, 0, 0, 5, 0, 0, 5, 0, 5, 5], [0, 5, 5, 5, 5, 0, 0, 5, 5, 5, 0, 0, 5, 5, 0, 0, 5, 5, 5, 0], [0, 5, 0, 0, 0, 0, 5, 5, 0, 5, 5, 5, 0, 0, 5, 0, 5, 5, 0, 0], [0, 5, 0, 5, 5, 5, 5, 5, 5, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 5], [5, 0, 5, 5, 0, 5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 0, 5, 5, 0, 5], [0, 0, 5, 0, 5, 0, 0, 5, 5, 0, 5, 5, 0, 0, 0, 5, 0, 5, 5, 5], [5, 5, 0, 5, 5, 5, 5, 0, 0, 0, 5, 5, 5, 5, 0, 5, 0, 0, 5, 5], [5, 0, 5, 0, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 5, 0, 5, 0, 0], [0, 5, 0, 5, 5, 0, 5, 5, 5, 0, 0, 5, 5, 0, 5, 5, 0, 0, 5, 5], [0, 5, 5, 5, 5, 5, 5, 5, 0, 0, 5, 5, 0, 0, 5, 5, 5, 5, 5, 5], [5, 5, 0, 5, 0, 5, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 0, 0, 5], [0, 5, 5, 5, 5, 5, 0, 0, 5, 5, 5, 0, 5, 5, 0, 5, 5, 0, 5, 5], [5, 5, 0, 0, 5, 0, 5, 0, 0, 5, 5, 5, 0, 0, 5, 5, 5, 5, 0, 5], [5, 0, 0, 5, 0, 5, 0, 0, 0, 5, 0, 0, 5, 0, 0, 5, 0, 5, 0, 5], [0, 5, 5, 5, 5, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 0, 0, 5, 5, 5], [9, 0, 9, 0, 9, 9, 9, 0, 9, 9, 9, 0, 9, 9, 0, 0, 0, 0, 9, 9], [9, 9, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0, 0, 9, 0, 0, 0, 9, 0, 0], [9, 9, 0, 0, 9, 9, 9, 9, 9, 0, 0, 0, 9, 0, 9, 0, 9, 9, 0, 0], [9, 9, 0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 0, 0, 0, 9, 0, 0, 9], [0, 9, 0, 9, 9, 0, 9, 0, 9, 0, 9, 0, 0, 0, 9, 0, 0, 9, 9, 9], [9, 9, 9, 9, 0, 9, 0, 9, 0, 0, 9, 9, 0, 0, 0, 9, 9, 9, 9, 0], [9, 0, 0, 0, 9, 0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 0, 9, 0, 0, 9], [9, 9, 9, 9, 0, 0, 0, 9, 9, 0, 9, 9, 0, 0, 9, 0, 0, 0, 0, 9], [9, 0, 9, 0, 9, 9, 9, 0, 9, 0, 0, 0, 9, 9, 0, 0, 0, 0, 9, 9], [9, 9, 9, 9, 0, 9, 9, 9, 0, 9, 9, 0, 0, 9, 9, 0, 0, 9, 9, 9], [9, 0, 0, 9, 0, 0, 0, 9, 0, 9, 9, 9, 9, 9, 0, 9, 0, 0, 9, 9], [0, 9, 9, 0, 9, 0, 9, 9, 9, 9, 0, 9, 9, 9, 9, 9, 9, 9, 9, 0], [9, 9, 0, 0, 9, 9, 0, 0, 9, 9, 0, 9, 0, 0, 0, 9, 0, 0, 9, 9], [0, 0, 9, 9, 9, 0, 0, 0, 9, 9, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0], [9, 9, 0, 9, 9, 0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 0, 0, 9, 0, 9], [0, 9, 9, 0, 0, 9, 0, 0, 0, 0, 9, 9, 0, 0, 0, 0, 9, 9, 0, 9], [9, 9, 0, 9, 9, 9, 0, 9, 0, 9, 0, 9, 0, 0, 9, 9, 0, 0, 0, 0], [9, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 9], [0, 9, 0, 9, 0, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 9, 9, 9], [9, 9, 9, 9, 9, 0, 9, 9, 9, 9, 0, 9, 9, 9, 9, 9, 9, 9, 0, 0], [0, 0, 0, 6, 0, 6, 0, 6, 0, 0, 0, 0, 6, 0, 6, 6, 0, 6, 6, 6], [0, 0, 6, 6, 0, 0, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 0, 6], [6, 6, 6, 6, 0, 0, 6, 0, 6, 0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6], [0, 0, 6, 0, 0, 6, 6, 6, 6, 6, 0, 0, 6, 0, 0, 0, 0, 6, 6, 6], [6, 0, 6, 0, 6, 6, 0, 6, 6, 6, 6, 0, 0, 0, 6, 0, 6, 6, 0, 0], [0, 0, 6, 0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6], [0, 6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 6, 6, 0, 0, 0, 6, 6, 6], [0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6], [0, 0, 6, 0, 6, 6, 0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 6, 0, 0, 6], [6, 0, 0, 6, 6, 0, 6, 0, 0, 0, 0, 0, 6, 0, 6, 0, 6, 6, 0, 0], [0, 0, 0, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 6, 0, 6, 0, 0, 6, 0], [0, 0, 6, 0, 6, 6, 0, 0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0], [6, 6, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 6, 0], [6, 0, 0, 6, 0, 0, 0, 6, 6, 0, 0, 6, 0, 0, 0, 6, 0, 6, 0, 0], [6, 6, 0, 6, 0, 0, 6, 6, 0, 6, 0, 6, 0, 6, 0, 6, 6, 6, 6, 0], [6, 0, 6, 0, 0, 0, 0, 6, 0, 6, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6], [0, 0, 6, 6, 0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 0, 6, 0, 0, 6, 6], [6, 0, 0, 6, 0, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 0, 6, 6, 0, 6], [0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0], [6, 0, 6, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0, 6, 0]] -> [[7, 0, 0, 7, 7, 0, 0, 7, 7, 7, 7, 0, 7, 7, 7, 7, 0, 7, 0, 7], [7, 7, 0, 7, 0, 7, 7, 7, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 0, 7], [7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 0, 7, 7, 7, 0, 7, 7, 0, 7, 7], [7, 7, 7, 0, 0, 7, 7, 7, 7, 0, 0, 7, 7, 0, 0, 0, 0, 7, 7, 7], [7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0], [7, 0, 7, 0, 7, 0, 7, 7, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7, 7], [0, 7, 7, 7, 0, 0, 7, 0, 7, 0, 7, 7, 7, 7, 0, 0, 7, 7, 7, 7], [0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7], [0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 7, 0, 0, 7, 7, 7, 7, 0, 7, 0], [0, 0, 7, 0, 7, 7, 0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7], [0, 0, 0, 7, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 7], [0, 7, 7, 0, 0, 7, 7, 0, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7, 7, 0], [0, 7, 0, 0, 7, 0, 0, 0, 7, 7, 0, 0, 0, 7, 7, 7, 0, 7, 7, 0], [7, 0, 0, 0, 7, 0, 0, 7, 0, 0, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0], [7, 0, 0, 0, 7, 0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 7, 0, 7, 7], [7, 7, 7, 0, 0, 7, 0, 7, 0, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0], [0, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 7], [0, 7, 0, 7, 0, 7, 7, 0, 0, 7, 0, 0, 7, 7, 7, 7, 0, 0, 0, 0], [0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 7, 7, 7, 0, 7], [7, 7, 0, 7, 0, 7, 7, 7, 7, 0, 7, 7, 0, 7, 0, 0, 7, 7, 7, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing the causal function for some elements.\n[[0, 5, 5, 0, 0, 0, 5, 5, 5, 5, 5, 5, 0, 5, 5, 0, 5, 5, 0, 0], [0, 5, 0, 0, 5, 5, 0, 0, 0, 5, 0, 5, 5, 5, 0, 0, 0, 5, 0, 0], [0, 5, 5, 5, 0, 5, 5, 5, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 0, 5, 5, 5, 5, 0, 0, 0, 0, 5, 0, 5, 5, 0], [0, 0, 5, 5, 0, 5, 5, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 5, 5, 0], [0, 0, 0, 0, 5, 5, 0, 5, 5, 0, 5, 5, 0, 0, 0, 5, 5, 5, 5, 5], [0, 5, 0, 0, 5, 5, 0, 5, 0, 5, 5, 5, 0, 5, 5, 0, 5, 0, 5, 5], [5, 5, 5, 5, 5, 0, 0, 5, 5, 0, 5, 0, 0, 0, 5, 5, 0, 5, 0, 0], [0, 0, 5, 5, 0, 0, 5, 0, 0, 5, 0, 0, 0, 5, 5, 0, 0, 0, 5, 5], [5, 0, 0, 0, 0, 5, 0, 0, 5, 0, 0, 0, 0, 0, 5, 5, 5, 5, 5, 0], [5, 0, 5, 5, 5, 0, 5, 0, 5, 5, 0, 0, 5, 0, 5, 5, 0, 0, 5, 0], [0, 0, 5, 0, 0, 5, 5, 0, 5, 0, 5, 0, 0, 0, 0, 0, 5, 5, 5, 5], [0, 5, 5, 0, 5, 5, 5, 0, 5, 0, 0, 5, 5, 0, 0, 0, 5, 0, 5, 5], [0, 0, 5, 0, 0, 0, 5, 5, 0, 5, 0, 0, 0, 0, 5, 5, 0, 5, 5, 0], [0, 5, 0, 5, 5, 5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 5, 5, 0], [0, 0, 5, 0, 5, 0, 0, 5, 0, 0, 5, 0, 0, 5, 0, 5, 0, 5, 5, 0], [0, 0, 0, 5, 5, 0, 5, 0, 5, 0, 0, 5, 5, 0, 5, 5, 0, 0, 5, 0], [0, 5, 5, 5, 0, 5, 5, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 5], [0, 0, 5, 5, 5, 5, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0], [0, 5, 0, 5, 0, 5, 5, 0, 5, 5, 5, 5, 0, 0, 5, 5, 0, 0, 5, 0], [0, 9, 0, 9, 0, 0, 0, 9, 0, 0, 0, 9, 0, 0, 9, 9, 9, 9, 0, 0], [0, 0, 0, 0, 0, 0, 0, 9, 0, 9, 9, 9, 9, 0, 9, 9, 9, 0, 9, 9], [0, 0, 9, 9, 0, 0, 0, 0, 0, 9, 9, 9, 0, 9, 0, 9, 0, 0, 9, 9], [0, 0, 9, 0, 9, 9, 9, 0, 9, 0, 9, 0, 9, 9, 9, 9, 0, 9, 9, 0], [9, 0, 9, 0, 0, 9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 9, 9, 0, 0, 0], [0, 0, 0, 0, 9, 0, 9, 0, 9, 9, 0, 0, 9, 9, 9, 0, 0, 0, 0, 9], [0, 9, 9, 9, 0, 9, 9, 0, 9, 9, 9, 0, 9, 9, 9, 9, 0, 9, 9, 0], [0, 0, 0, 0, 9, 9, 9, 0, 0, 9, 0, 0, 9, 9, 0, 9, 9, 9, 9, 0], [0, 9, 0, 9, 0, 0, 0, 9, 0, 9, 9, 9, 0, 0, 9, 9, 9, 9, 0, 0], [0, 0, 0, 0, 9, 0, 0, 0, 9, 0, 0, 9, 9, 0, 0, 9, 9, 0, 0, 0], [0, 9, 9, 0, 9, 9, 9, 0, 9, 0, 0, 0, 0, 0, 9, 0, 9, 9, 0, 0], [9, 0, 0, 9, 0, 9, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 9], [0, 0, 9, 9, 0, 0, 9, 9, 0, 0, 9, 0, 9, 9, 9, 0, 9, 9, 0, 0], [9, 9, 0, 0, 0, 9, 9, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9], [0, 0, 9, 0, 0, 9, 9, 0, 9, 9, 9, 0, 9, 9, 9, 9, 9, 0, 9, 0], [9, 0, 0, 9, 9, 0, 9, 9, 9, 9, 0, 0, 9, 9, 9, 9, 0, 0, 9, 0], [0, 0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9, 9, 0, 0, 9, 9, 9, 9], [0, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 0, 0, 9, 0], [9, 0, 9, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0], [0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 9, 9], [6, 6, 0, 6, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 6, 0, 6, 6, 6, 0], [6, 6, 0, 6, 6, 0, 0, 6, 0, 0, 6, 0, 6, 6, 0, 6, 6, 0, 0, 0], [6, 0, 0, 6, 0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 0, 0, 0], [6, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0, 6, 0, 0, 6], [0, 0, 6, 6, 0, 6, 6, 6, 6, 6, 0, 6, 6, 6, 0, 0, 6, 0, 0, 0], [6, 0, 0, 6, 0, 6, 0, 0, 6, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6], [6, 6, 0, 0, 0, 6, 6, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [0, 0, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 6, 6, 0, 6, 0, 0, 0], [6, 6, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 0, 6, 0], [6, 6, 6, 6, 6, 0, 0, 6, 6, 6, 0, 6, 6, 0, 6, 6, 0, 0, 0, 6], [6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 0, 6, 0, 6, 0, 6, 0, 0], [0, 0, 6, 0, 0, 0, 6, 6, 6, 0, 0, 6, 6, 0, 6, 0, 6, 6, 0, 0], [6, 0, 0, 0, 6, 0, 6, 6, 6, 6, 0, 6, 6, 0, 6, 0, 6, 0, 0, 0], [0, 0, 6, 0, 0, 6, 0, 6, 6, 6, 6, 6, 0, 6, 0, 0, 6, 0, 0, 6], [6, 6, 6, 6, 0, 0, 0, 6, 0, 6, 6, 0, 6, 6, 0, 0, 0, 6, 6, 0], [6, 6, 6, 6, 6, 0, 6, 0, 6, 0, 0, 6, 6, 0, 0, 0, 6, 6, 6, 0], [6, 0, 0, 0, 0, 6, 6, 6, 0, 0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6], [0, 0, 0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 6, 0, 6, 6, 6, 0, 0, 6], [6, 6, 6, 0, 0, 6, 6, 0, 0, 0, 6, 0, 0, 0, 6, 0, 6, 6, 0, 0], [0, 6, 0, 6, 6, 6, 6, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 0, 6, 6]] -> ",
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+                }
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+        },
+        "L3": {
+            "Replicate 0": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[5, 0, 5, 5, 0, 0, 0, 5, 5, 5, 0, 5, 0, 5, 0, 5, 0, 0, 5, 0], [5, 0, 5, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0, 5, 0, 0, 5, 5], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 5, 0, 0, 0, 0, 5, 5, 5], [5, 0, 5, 0, 5, 5, 5, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 5, 0, 5], [5, 0, 0, 0, 5, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 5, 5, 5, 5], [5, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 5, 0, 0, 5, 0, 5, 5, 0, 0], [5, 5, 5, 0, 0, 5, 5, 0, 0, 5, 5, 0, 5, 5, 0, 5, 0, 5, 5, 0], [5, 5, 0, 5, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 5, 0, 5, 5, 5, 5], [0, 0, 0, 5, 0, 0, 5, 5, 5, 0, 5, 0, 0, 5, 5, 5, 0, 0, 5, 0], [5, 0, 0, 5, 5, 0, 5, 5, 5, 0, 0, 5, 0, 5, 0, 0, 5, 0, 0, 0], [5, 5, 0, 0, 0, 5, 5, 0, 5, 0, 0, 5, 5, 0, 0, 5, 0, 5, 5, 5], [0, 5, 0, 0, 0, 5, 0, 0, 5, 5, 0, 5, 0, 0, 5, 0, 0, 5, 5, 0], [5, 5, 0, 0, 5, 0, 0, 0, 5, 5, 5, 5, 0, 5, 5, 0, 0, 5, 5, 5], [5, 0, 0, 5, 0, 0, 0, 5, 5, 0, 5, 5, 5, 0, 0, 5, 0, 5, 5, 0], [0, 5, 5, 5, 0, 0, 5, 0, 5, 0, 0, 5, 5, 5, 5, 0, 5, 5, 5, 0], [5, 0, 0, 5, 5, 5, 0, 5, 0, 5, 5, 5, 0, 5, 0, 5, 0, 5, 5, 5], [5, 0, 5, 5, 0, 0, 0, 5, 0, 5, 0, 0, 0, 5, 5, 0, 5, 5, 5, 5], [5, 0, 0, 5, 5, 5, 5, 5, 5, 5, 0, 0, 0, 0, 0, 5, 5, 5, 0, 5], [0, 5, 0, 0, 5, 5, 5, 0, 5, 0, 5, 0, 0, 5, 0, 0, 5, 5, 5, 5], [0, 5, 5, 5, 0, 0, 0, 5, 0, 5, 5, 5, 0, 5, 5, 0, 5, 0, 0, 5], [0, 9, 0, 9, 9, 9, 9, 9, 0, 9, 9, 9, 0, 9, 0, 9, 9, 9, 0, 0], [0, 0, 0, 0, 0, 9, 9, 9, 9, 9, 9, 9, 0, 9, 9, 9, 9, 9, 9, 9], [0, 0, 0, 0, 9, 0, 0, 9, 9, 9, 9, 0, 0, 9, 0, 9, 0, 0, 9, 9], [0, 0, 9, 9, 9, 0, 9, 0, 0, 9, 9, 9, 0, 9, 0, 9, 0, 9, 0, 0], [9, 9, 0, 9, 9, 0, 9, 9, 9, 9, 0, 0, 9, 0, 9, 0, 9, 0, 0, 9], [0, 0, 0, 9, 0, 0, 9, 0, 9, 9, 0, 0, 9, 9, 9, 9, 0, 9, 9, 0], [0, 0, 0, 9, 0, 0, 0, 0, 9, 0, 0, 0, 0, 9, 0, 0, 9, 0, 9, 0], [0, 9, 0, 0, 0, 0, 9, 0, 0, 9, 0, 0, 0, 0, 9, 9, 9, 9, 9, 9], [0, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0, 0, 9, 9, 0, 0, 0, 9, 0, 0], [9, 0, 9, 0, 0, 9, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0, 0, 9, 0, 9], [9, 0, 9, 0, 9, 0, 0, 9, 9, 9, 9, 0, 9, 9, 9, 0, 9, 0, 9, 9], [9, 0, 9, 0, 9, 0, 0, 9, 9, 0, 0, 0, 0, 0, 9, 9, 0, 0, 0, 9], [9, 9, 9, 9, 9, 0, 9, 0, 0, 9, 9, 9, 9, 9, 9, 0, 9, 9, 9, 0], [0, 0, 0, 0, 0, 9, 9, 9, 0, 0, 9, 9, 0, 9, 9, 0, 9, 0, 0, 9], [0, 9, 0, 0, 9, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 0], [9, 9, 9, 0, 0, 0, 0, 0, 9, 0, 9, 0, 0, 0, 0, 0, 9, 9, 9, 0], [0, 0, 9, 0, 9, 9, 0, 9, 9, 0, 0, 9, 9, 9, 0, 9, 0, 0, 0, 9], [0, 9, 9, 0, 0, 0, 9, 0, 0, 9, 9, 9, 0, 9, 9, 0, 9, 0, 9, 9], [9, 9, 9, 9, 9, 0, 9, 9, 9, 0, 9, 0, 0, 0, 0, 0, 9, 9, 0, 9], [9, 9, 9, 0, 0, 0, 9, 9, 9, 0, 9, 0, 0, 0, 9, 9, 0, 0, 9, 0], [6, 0, 0, 6, 0, 0, 6, 6, 6, 6, 0, 0, 6, 0, 0, 0, 0, 0, 6, 6], [0, 6, 0, 0, 0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 0, 6, 0, 0, 6, 6], [6, 6, 6, 6, 6, 0, 0, 6, 6, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 0], [0, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6], [0, 6, 6, 0, 6, 6, 0, 6, 6, 0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 0], [6, 6, 0, 6, 0, 0, 6, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 0], [6, 0, 0, 0, 6, 6, 0, 6, 6, 0, 6, 0, 0, 6, 6, 0, 6, 6, 6, 6], [6, 6, 0, 6, 6, 6, 6, 6, 0, 0, 6, 0, 0, 6, 0, 6, 0, 0, 0, 6], [6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 0, 0], [0, 0, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 6, 0, 6, 0, 6, 6, 0, 6], [0, 6, 0, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 0, 0, 0, 0, 0, 6, 6], [0, 0, 0, 6, 0, 0, 6, 6, 0, 0, 0, 0, 0, 6, 6, 6, 0, 6, 0, 0], [6, 0, 6, 6, 6, 0, 6, 6, 0, 6, 0, 0, 6, 6, 6, 6, 6, 6, 0, 0], [6, 0, 0, 6, 6, 0, 6, 0, 6, 6, 0, 0, 0, 6, 0, 6, 6, 0, 6, 0], [6, 6, 0, 0, 6, 0, 6, 0, 6, 6, 0, 6, 0, 0, 0, 0, 0, 6, 0, 6], [6, 6, 6, 6, 0, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 0, 6, 0, 6], [0, 0, 6, 0, 6, 6, 6, 0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 0, 0, 0], [0, 0, 6, 0, 6, 0, 6, 6, 6, 0, 0, 6, 0, 6, 0, 6, 6, 0, 0, 0], [6, 6, 0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6, 0], [0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 6, 0]] -> [[7, 0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 7, 7, 7, 0, 7, 0, 0, 7, 7], [0, 7, 0, 0, 0, 7, 0, 0, 7, 7, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0], [7, 7, 7, 7, 0, 0, 0, 7, 7, 0, 0, 7, 7, 0, 7, 0, 7, 7, 0, 7], [0, 0, 0, 7, 0, 7, 7, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 7, 7], [7, 7, 7, 0, 0, 7, 7, 0, 0, 7, 7, 7, 7, 7, 0, 7, 7, 0, 0, 7], [7, 7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7, 0, 0, 7, 0, 0, 7, 7, 0], [7, 0, 0, 0, 7, 7, 0, 7, 7, 0, 7, 0, 0, 0, 7, 0, 7, 7, 0, 7], [7, 0, 0, 7, 7, 7, 7, 7, 0, 7, 7, 0, 0, 7, 7, 7, 7, 7, 7, 0], [7, 7, 0, 0, 0, 7, 7, 7, 0, 7, 7, 0, 0, 0, 7, 7, 7, 0, 0, 0], [7, 0, 7, 0, 0, 0, 0, 0, 7, 0, 0, 7, 7, 0, 7, 0, 7, 7, 0, 7], [7, 7, 0, 0, 7, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 7, 0, 0, 7, 7, 7, 0, 0, 0, 0, 7, 0, 7, 0, 7, 0, 0], [0, 7, 7, 7, 0, 0, 7, 7, 0, 0, 7, 7, 7, 0, 0, 7, 7, 0, 7, 0], [7, 0, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 0, 7, 7, 0, 7, 0], [7, 0, 0, 0, 7, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7], [0, 7, 7, 7, 0, 7, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 0, 0, 7, 7], [0, 0, 0, 0, 7, 7, 7, 7, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7], [0, 0, 7, 0, 7, 0, 0, 7, 7, 7, 0, 7, 0, 7, 0, 7, 0, 0, 0, 7], [7, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 7, 7, 7, 7], [0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[5, 0, 5, 5, 0, 0, 0, 5, 5, 5, 0, 5, 0, 5, 0, 5, 0, 0, 5, 0], [5, 0, 5, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0, 5, 0, 0, 5, 5], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 5, 0, 0, 0, 0, 5, 5, 5], [5, 0, 5, 0, 5, 5, 5, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 5, 0, 5], [5, 0, 0, 0, 5, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 5, 5, 5, 5], [5, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 5, 0, 0, 5, 0, 5, 5, 0, 0], [5, 5, 5, 0, 0, 5, 5, 0, 0, 5, 5, 0, 5, 5, 0, 5, 0, 5, 5, 0], [5, 5, 0, 5, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 5, 0, 5, 5, 5, 5], [0, 0, 0, 5, 0, 0, 5, 5, 5, 0, 5, 0, 0, 5, 5, 5, 0, 0, 5, 0], [5, 0, 0, 5, 5, 0, 5, 5, 5, 0, 0, 5, 0, 5, 0, 0, 5, 0, 0, 0], [5, 5, 0, 0, 0, 5, 5, 0, 5, 0, 0, 5, 5, 0, 0, 5, 0, 5, 5, 5], [0, 5, 0, 0, 0, 5, 0, 0, 5, 5, 0, 5, 0, 0, 5, 0, 0, 5, 5, 0], [5, 5, 0, 0, 5, 0, 0, 0, 5, 5, 5, 5, 0, 5, 5, 0, 0, 5, 5, 5], [5, 0, 0, 5, 0, 0, 0, 5, 5, 0, 5, 5, 5, 0, 0, 5, 0, 5, 5, 0], [0, 5, 5, 5, 0, 0, 5, 0, 5, 0, 0, 5, 5, 5, 5, 0, 5, 5, 5, 0], [5, 0, 0, 5, 5, 5, 0, 5, 0, 5, 5, 5, 0, 5, 0, 5, 0, 5, 5, 5], [5, 0, 5, 5, 0, 0, 0, 5, 0, 5, 0, 0, 0, 5, 5, 0, 5, 5, 5, 5], [5, 0, 0, 5, 5, 5, 5, 5, 5, 5, 0, 0, 0, 0, 0, 5, 5, 5, 0, 5], [0, 5, 0, 0, 5, 5, 5, 0, 5, 0, 5, 0, 0, 5, 0, 0, 5, 5, 5, 5], [0, 5, 5, 5, 0, 0, 0, 5, 0, 5, 5, 5, 0, 5, 5, 0, 5, 0, 0, 5], [0, 8, 0, 8, 8, 8, 8, 8, 0, 8, 8, 8, 0, 8, 0, 8, 8, 8, 0, 0], [0, 0, 0, 0, 0, 8, 8, 8, 8, 8, 8, 8, 0, 8, 8, 8, 8, 8, 8, 8], [0, 0, 0, 0, 8, 0, 0, 8, 8, 8, 8, 0, 0, 8, 0, 8, 0, 0, 8, 8], [0, 0, 8, 8, 8, 0, 8, 0, 0, 8, 8, 8, 0, 8, 0, 8, 0, 8, 0, 0], [8, 8, 0, 8, 8, 0, 8, 8, 8, 8, 0, 0, 8, 0, 8, 0, 8, 0, 0, 8], [0, 0, 0, 8, 0, 0, 8, 0, 8, 8, 0, 0, 8, 8, 8, 8, 0, 8, 8, 0], [0, 0, 0, 8, 0, 0, 0, 0, 8, 0, 0, 0, 0, 8, 0, 0, 8, 0, 8, 0], [0, 8, 0, 0, 0, 0, 8, 0, 0, 8, 0, 0, 0, 0, 8, 8, 8, 8, 8, 8], [0, 8, 8, 8, 8, 8, 0, 8, 0, 0, 0, 0, 8, 8, 0, 0, 0, 8, 0, 0], [8, 0, 8, 0, 0, 8, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 0, 8, 0, 8], [8, 0, 8, 0, 8, 0, 0, 8, 8, 8, 8, 0, 8, 8, 8, 0, 8, 0, 8, 8], [8, 0, 8, 0, 8, 0, 0, 8, 8, 0, 0, 0, 0, 0, 8, 8, 0, 0, 0, 8], [8, 8, 8, 8, 8, 0, 8, 0, 0, 8, 8, 8, 8, 8, 8, 0, 8, 8, 8, 0], [0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 8, 8, 0, 8, 8, 0, 8, 0, 0, 8], [0, 8, 0, 0, 8, 8, 0, 8, 0, 8, 0, 8, 0, 8, 0, 8, 0, 8, 0, 0], [8, 8, 8, 0, 0, 0, 0, 0, 8, 0, 8, 0, 0, 0, 0, 0, 8, 8, 8, 0], [0, 0, 8, 0, 8, 8, 0, 8, 8, 0, 0, 8, 8, 8, 0, 8, 0, 0, 0, 8], [0, 8, 8, 0, 0, 0, 8, 0, 0, 8, 8, 8, 0, 8, 8, 0, 8, 0, 8, 8], [8, 8, 8, 8, 8, 0, 8, 8, 8, 0, 8, 0, 0, 0, 0, 0, 8, 8, 0, 8], [8, 8, 8, 0, 0, 0, 8, 8, 8, 0, 8, 0, 0, 0, 8, 8, 0, 0, 8, 0], [6, 0, 0, 6, 0, 0, 6, 6, 6, 6, 0, 0, 6, 0, 0, 0, 0, 0, 6, 6], [0, 6, 0, 0, 0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 0, 6, 0, 0, 6, 6], [6, 6, 6, 6, 6, 0, 0, 6, 6, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 0], [0, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6], [0, 6, 6, 0, 6, 6, 0, 6, 6, 0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 0], [6, 6, 0, 6, 0, 0, 6, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 0], [6, 0, 0, 0, 6, 6, 0, 6, 6, 0, 6, 0, 0, 6, 6, 0, 6, 6, 6, 6], [6, 6, 0, 6, 6, 6, 6, 6, 0, 0, 6, 0, 0, 6, 0, 6, 0, 0, 0, 6], [6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 0, 0], [0, 0, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 6, 0, 6, 0, 6, 6, 0, 6], [0, 6, 0, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 0, 0, 0, 0, 0, 6, 6], [0, 0, 0, 6, 0, 0, 6, 6, 0, 0, 0, 0, 0, 6, 6, 6, 0, 6, 0, 0], [6, 0, 6, 6, 6, 0, 6, 6, 0, 6, 0, 0, 6, 6, 6, 6, 6, 6, 0, 0], [6, 0, 0, 6, 6, 0, 6, 0, 6, 6, 0, 0, 0, 6, 0, 6, 6, 0, 6, 0], [6, 6, 0, 0, 6, 0, 6, 0, 6, 6, 0, 6, 0, 0, 0, 0, 0, 6, 0, 6], [6, 6, 6, 6, 0, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 0, 6, 0, 6], [0, 0, 6, 0, 6, 6, 6, 0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 0, 0, 0], [0, 0, 6, 0, 6, 0, 6, 6, 6, 0, 0, 6, 0, 6, 0, 6, 6, 0, 0, 0], [6, 6, 0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6, 0], [0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 6, 0]] -> [[7, 0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 7, 7, 7, 0, 7, 0, 0, 7, 7], [0, 7, 0, 0, 0, 7, 0, 0, 7, 7, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0], [7, 7, 7, 7, 0, 0, 0, 7, 7, 0, 0, 7, 7, 0, 7, 0, 7, 7, 0, 7], [0, 0, 0, 7, 0, 7, 7, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 7, 7], [7, 7, 7, 0, 0, 7, 7, 0, 0, 7, 7, 7, 7, 7, 0, 7, 7, 0, 0, 7], [7, 7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7, 0, 0, 7, 0, 0, 7, 7, 0], [7, 0, 0, 0, 7, 7, 0, 7, 7, 0, 7, 0, 0, 0, 7, 0, 7, 7, 0, 7], [7, 0, 0, 7, 7, 7, 7, 7, 0, 7, 7, 0, 0, 7, 7, 7, 7, 7, 7, 0], [7, 7, 0, 0, 0, 7, 7, 7, 0, 7, 7, 0, 0, 0, 7, 7, 7, 0, 0, 0], [7, 0, 7, 0, 0, 0, 0, 0, 7, 0, 0, 7, 7, 0, 7, 0, 7, 7, 0, 7], [7, 7, 0, 0, 7, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 7, 0, 0, 7, 7, 7, 0, 0, 0, 0, 7, 0, 7, 0, 7, 0, 0], [0, 7, 7, 7, 0, 0, 7, 7, 0, 0, 7, 7, 7, 0, 0, 7, 7, 0, 7, 0], [7, 0, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 0, 7, 7, 0, 7, 0], [7, 0, 0, 0, 7, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7], [0, 7, 7, 7, 0, 7, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 0, 0, 7, 7], [0, 0, 0, 0, 7, 7, 7, 7, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7], [0, 0, 7, 0, 7, 0, 0, 7, 7, 7, 0, 7, 0, 7, 0, 7, 0, 0, 0, 7], [7, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 7, 7, 7, 7], [0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7, 0]]\nExample input-output arrays:\n[[0, 0, 5, 0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0], [5, 5, 0, 0, 0, 5, 5, 0, 0, 5, 5, 0, 0, 0, 0, 5, 0, 5, 0, 0], [5, 0, 5, 5, 0, 5, 5, 5, 5, 5, 0, 0, 0, 0, 0, 5, 0, 5, 5, 0], [0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 5, 0, 5, 0, 5, 5, 0, 0, 0, 5], [5, 0, 5, 5, 0, 0, 0, 0, 0, 0, 5, 0, 5, 0, 5, 5, 0, 0, 0, 0], [5, 5, 0, 0, 5, 5, 5, 5, 0, 0, 0, 5, 0, 5, 5, 5, 0, 5, 5, 0], [5, 5, 5, 5, 5, 5, 0, 0, 5, 0, 0, 5, 5, 5, 5, 0, 0, 0, 0, 0], [5, 5, 0, 5, 5, 0, 5, 0, 0, 0, 5, 5, 5, 0, 0, 5, 0, 5, 0, 5], [5, 5, 5, 5, 0, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0, 5, 5, 5, 5], [5, 0, 5, 5, 0, 5, 5, 5, 5, 0, 5, 0, 5, 5, 0, 0, 5, 0, 5, 0], [5, 5, 0, 5, 5, 5, 5, 0, 5, 0, 0, 5, 5, 5, 5, 5, 5, 5, 0, 5], [5, 5, 0, 5, 0, 5, 5, 0, 5, 0, 0, 0, 5, 0, 5, 5, 5, 0, 5, 5], [0, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 5, 5, 0, 0, 0, 5, 0, 0, 5], [5, 5, 5, 5, 0, 0, 0, 0, 5, 0, 5, 5, 0, 0, 5, 0, 0, 5, 5, 5], [0, 5, 0, 0, 5, 0, 0, 0, 5, 5, 5, 5, 0, 0, 0, 0, 5, 0, 0, 0], [0, 5, 5, 5, 0, 0, 0, 5, 0, 5, 5, 5, 0, 0, 0, 5, 5, 0, 0, 0], [5, 0, 0, 5, 0, 0, 0, 0, 0, 0, 5, 5, 5, 5, 5, 0, 5, 0, 5, 0], [0, 0, 0, 5, 0, 0, 5, 5, 0, 5, 0, 0, 0, 0, 0, 5, 5, 0, 5, 0], [0, 5, 0, 5, 5, 5, 5, 0, 0, 5, 5, 0, 0, 0, 0, 0, 5, 5, 0, 5], [0, 5, 5, 0, 5, 0, 5, 5, 5, 0, 0, 0, 0, 5, 0, 5, 0, 0, 5, 5], [9, 0, 9, 0, 9, 0, 0, 0, 9, 9, 0, 9, 0, 0, 9, 9, 9, 9, 9, 9], [0, 9, 9, 0, 0, 9, 0, 0, 0, 9, 9, 9, 9, 0, 0, 9, 0, 9, 0, 9], [0, 0, 0, 0, 9, 0, 0, 9, 0, 9, 0, 9, 0, 0, 9, 0, 0, 9, 9, 0], [0, 0, 0, 0, 9, 9, 0, 9, 0, 0, 0, 9, 0, 0, 0, 9, 9, 0, 0, 0], [0, 9, 0, 0, 0, 9, 0, 9, 0, 0, 9, 0, 0, 0, 9, 0, 0, 9, 0, 9], [9, 0, 0, 0, 0, 9, 0, 9, 0, 0, 9, 9, 9, 9, 9, 9, 0, 0, 0, 9], [0, 0, 9, 9, 9, 9, 9, 0, 9, 0, 9, 9, 0, 9, 0, 9, 9, 0, 0, 0], [0, 9, 9, 9, 0, 9, 0, 9, 9, 0, 0, 0, 0, 0, 9, 9, 0, 0, 9, 0], [9, 0, 9, 9, 0, 0, 0, 0, 9, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0], [9, 9, 0, 0, 9, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 0, 9, 9, 0, 9], [9, 0, 0, 9, 0, 0, 9, 9, 9, 0, 9, 9, 0, 9, 0, 9, 0, 0, 0, 9], [9, 9, 9, 0, 9, 9, 9, 9, 0, 0, 0, 9, 0, 9, 0, 0, 9, 0, 9, 9], [0, 9, 0, 0, 0, 0, 9, 9, 0, 9, 9, 0, 9, 0, 0, 0, 0, 9, 0, 9], [9, 0, 0, 0, 9, 0, 0, 0, 0, 9, 0, 0, 0, 9, 9, 9, 9, 9, 9, 0], [9, 0, 0, 9, 0, 9, 0, 9, 0, 9, 0, 0, 0, 9, 9, 9, 0, 9, 9, 9], [9, 0, 9, 9, 9, 9, 9, 9, 0, 0, 9, 9, 0, 9, 9, 9, 0, 9, 0, 9], [0, 9, 9, 9, 9, 0, 0, 0, 9, 0, 9, 0, 0, 9, 9, 9, 0, 9, 0, 9], [0, 9, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 0, 0, 9, 0, 0], [0, 9, 9, 0, 0, 0, 0, 0, 0, 9, 9, 9, 0, 9, 9, 0, 9, 0, 0, 9], [0, 0, 0, 9, 9, 9, 0, 0, 0, 0, 0, 9, 0, 0, 9, 0, 0, 9, 0, 9], [6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0], [0, 6, 6, 0, 0, 6, 0, 6, 0, 0, 0, 6, 6, 0, 0, 6, 0, 0, 0, 6], [0, 6, 0, 0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 6, 6, 6, 0, 0, 6, 0, 0, 0, 0, 6, 6, 6, 0, 6, 0], [0, 6, 6, 0, 0, 6, 0, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 0], [6, 0, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 6, 6], [0, 0, 0, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 0, 0, 6, 6], [6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 6, 6, 6, 6], [0, 0, 0, 0, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0, 0, 6, 0, 0, 6, 6], [6, 6, 6, 6, 6, 6, 0, 6, 0, 0, 6, 6, 0, 0, 0, 6, 0, 0, 6, 6], [0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 6, 0, 6, 6, 0, 6], [0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 6, 6, 0, 6], [0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0], [6, 6, 6, 6, 6, 6, 0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 0, 6], [0, 6, 0, 6, 0, 0, 0, 6, 6, 0, 0, 6, 6, 6, 6, 6, 0, 6, 6, 0], [0, 6, 0, 0, 0, 0, 6, 0, 6, 0, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0], [0, 6, 0, 6, 0, 6, 6, 0, 6, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 6], [6, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0], [6, 0, 6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0], [0, 6, 6, 0, 6, 0, 0, 6, 0, 6, 0, 6, 0, 0, 0, 6, 0, 6, 6, 6]] -> [[7, 7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 0, 0], [0, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7, 7, 7, 0, 0, 0, 0, 7, 0, 7], [0, 7, 0, 0, 0, 7, 0, 0, 7, 7, 7, 7, 7, 7, 0, 0, 0, 7, 7, 0], [0, 7, 0, 0, 0, 0, 7, 7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 0, 7, 0], [0, 7, 7, 0, 0, 7, 0, 0, 7, 0, 0, 7, 0, 0, 0, 7, 7, 7, 0, 0], [0, 0, 7, 7, 0, 7, 0, 7, 7, 7, 7, 0, 7, 0, 0, 7, 0, 0, 7, 7], [0, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 7, 7], [7, 0, 7, 7, 0, 0, 0, 0, 7, 7, 0, 0, 7, 7, 0, 7, 7, 7, 7, 7], [7, 0, 7, 7, 0, 0, 7, 0, 7, 7, 0, 0, 0, 0, 0, 7, 0, 0, 7, 7], [0, 7, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7, 0, 0, 0, 7, 7, 0, 7, 7], [7, 7, 0, 0, 0, 7, 7, 7, 7, 0, 0, 7, 0, 7, 7, 7, 7, 7, 0, 0], [7, 7, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 7, 7, 0], [0, 0, 0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 7, 7, 0, 0, 0, 7, 7, 7], [0, 7, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 0, 7, 7], [0, 7, 0, 7, 0, 0, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7, 7, 0], [0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 7, 0, 7, 7, 7, 7, 7, 0, 7, 0], [0, 7, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7], [7, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0], [7, 7, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 0, 7, 0, 0, 0, 7], [0, 7, 7, 0, 0, 0, 0, 7, 0, 7, 0, 7, 0, 0, 0, 7, 0, 7, 7, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 0, 5, 0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0], [5, 5, 0, 0, 0, 5, 5, 0, 0, 5, 5, 0, 0, 0, 0, 5, 0, 5, 0, 0], [5, 0, 5, 5, 0, 5, 5, 5, 5, 5, 0, 0, 0, 0, 0, 5, 0, 5, 5, 0], [0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 5, 0, 5, 0, 5, 5, 0, 0, 0, 5], [5, 0, 5, 5, 0, 0, 0, 0, 0, 0, 5, 0, 5, 0, 5, 5, 0, 0, 0, 0], [5, 5, 0, 0, 5, 5, 5, 5, 0, 0, 0, 5, 0, 5, 5, 5, 0, 5, 5, 0], [5, 5, 5, 5, 5, 5, 0, 0, 5, 0, 0, 5, 5, 5, 5, 0, 0, 0, 0, 0], [5, 5, 0, 5, 5, 0, 5, 0, 0, 0, 5, 5, 5, 0, 0, 5, 0, 5, 0, 5], [5, 5, 5, 5, 0, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0, 5, 5, 5, 5], [5, 0, 5, 5, 0, 5, 5, 5, 5, 0, 5, 0, 5, 5, 0, 0, 5, 0, 5, 0], [5, 5, 0, 5, 5, 5, 5, 0, 5, 0, 0, 5, 5, 5, 5, 5, 5, 5, 0, 5], [5, 5, 0, 5, 0, 5, 5, 0, 5, 0, 0, 0, 5, 0, 5, 5, 5, 0, 5, 5], [0, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 5, 5, 0, 0, 0, 5, 0, 0, 5], [5, 5, 5, 5, 0, 0, 0, 0, 5, 0, 5, 5, 0, 0, 5, 0, 0, 5, 5, 5], [0, 5, 0, 0, 5, 0, 0, 0, 5, 5, 5, 5, 0, 0, 0, 0, 5, 0, 0, 0], [0, 5, 5, 5, 0, 0, 0, 5, 0, 5, 5, 5, 0, 0, 0, 5, 5, 0, 0, 0], [5, 0, 0, 5, 0, 0, 0, 0, 0, 0, 5, 5, 5, 5, 5, 0, 5, 0, 5, 0], [0, 0, 0, 5, 0, 0, 5, 5, 0, 5, 0, 0, 0, 0, 0, 5, 5, 0, 5, 0], [0, 5, 0, 5, 5, 5, 5, 0, 0, 5, 5, 0, 0, 0, 0, 0, 5, 5, 0, 5], [0, 5, 5, 0, 5, 0, 5, 5, 5, 0, 0, 0, 0, 5, 0, 5, 0, 0, 5, 5], [1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1], [0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1], [0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0], [0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0], [0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1], [1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1], [0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0], [0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0], [1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1], [1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1], [1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1], [0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1], [1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0], [1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1], [1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1], [0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1], [0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0], [0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1], [0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1], [6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0], [0, 6, 6, 0, 0, 6, 0, 6, 0, 0, 0, 6, 6, 0, 0, 6, 0, 0, 0, 6], [0, 6, 0, 0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 6, 6, 6, 0, 0, 6, 0, 0, 0, 0, 6, 6, 6, 0, 6, 0], [0, 6, 6, 0, 0, 6, 0, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 0], [6, 0, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 6, 6], [0, 0, 0, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 0, 0, 6, 6], [6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 6, 6, 6, 6], [0, 0, 0, 0, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0, 0, 6, 0, 0, 6, 6], [6, 6, 6, 6, 6, 6, 0, 6, 0, 0, 6, 6, 0, 0, 0, 6, 0, 0, 6, 6], [0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 6, 0, 6, 6, 0, 6], [0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 6, 6, 0, 6], [0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0], [6, 6, 6, 6, 6, 6, 0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 0, 6], [0, 6, 0, 6, 0, 0, 0, 6, 6, 0, 0, 6, 6, 6, 6, 6, 0, 6, 6, 0], [0, 6, 0, 0, 0, 0, 6, 0, 6, 0, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0], [0, 6, 0, 6, 0, 6, 6, 0, 6, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 6], [6, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0], [6, 0, 6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0], [0, 6, 6, 0, 6, 0, 0, 6, 0, 6, 0, 6, 0, 0, 0, 6, 0, 6, 6, 6]] -> ",
+                "test": {
+                    "input": [
+                        [
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+                            0,
+                            7,
+                            7,
+                            7,
+                            7,
+                            7,
+                            0,
+                            7,
+                            7,
+                            0
+                        ],
+                        [
+                            0,
+                            7,
+                            7,
+                            7,
+                            0,
+                            0,
+                            7,
+                            7,
+                            7,
+                            0,
+                            7,
+                            0,
+                            7,
+                            7,
+                            7,
+                            7,
+                            7,
+                            0,
+                            7,
+                            0
+                        ],
+                        [
+                            0,
+                            7,
+                            0,
+                            0,
+                            0,
+                            7,
+                            7,
+                            0,
+                            7,
+                            0,
+                            7,
+                            0,
+                            0,
+                            0,
+                            7,
+                            0,
+                            0,
+                            0,
+                            0,
+                            7
+                        ],
+                        [
+                            7,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            7,
+                            7,
+                            0,
+                            7,
+                            0,
+                            0,
+                            0,
+                            0,
+                            7,
+                            7,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            7,
+                            7,
+                            7,
+                            7,
+                            7,
+                            7,
+                            0,
+                            7,
+                            7,
+                            0,
+                            7,
+                            7,
+                            7,
+                            7,
+                            0,
+                            7,
+                            0,
+                            0,
+                            0,
+                            7
+                        ],
+                        [
+                            0,
+                            7,
+                            7,
+                            0,
+                            0,
+                            0,
+                            0,
+                            7,
+                            0,
+                            7,
+                            0,
+                            7,
+                            0,
+                            0,
+                            0,
+                            7,
+                            0,
+                            7,
+                            7,
+                            0
+                        ]
+                    ]
+                }
+            },
+            "Replicate 1": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[5, 0, 0, 0, 5, 5, 0, 0, 5, 5, 5, 5, 0, 5, 5, 0, 0, 0, 5, 0], [5, 5, 5, 0, 0, 5, 0, 0, 5, 0, 0, 5, 0, 0, 0, 5, 5, 0, 0, 0], [0, 5, 5, 0, 5, 5, 0, 5, 5, 5, 5, 0, 5, 0, 5, 5, 0, 5, 0, 5], [5, 5, 0, 0, 0, 0, 0, 0, 5, 5, 0, 5, 5, 5, 0, 0, 0, 5, 0, 0], [5, 5, 0, 5, 5, 5, 5, 0, 0, 5, 5, 5, 0, 0, 5, 0, 5, 5, 5, 0], [5, 0, 0, 0, 5, 5, 5, 5, 0, 0, 5, 0, 0, 5, 0, 0, 5, 0, 5, 5], [0, 5, 5, 5, 5, 0, 0, 5, 5, 5, 0, 0, 5, 5, 0, 0, 5, 5, 5, 0], [0, 5, 0, 0, 0, 0, 5, 5, 0, 5, 5, 5, 0, 0, 5, 0, 5, 5, 0, 0], [0, 5, 0, 5, 5, 5, 5, 5, 5, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 5], [5, 0, 5, 5, 0, 5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 0, 5, 5, 0, 5], [0, 0, 5, 0, 5, 0, 0, 5, 5, 0, 5, 5, 0, 0, 0, 5, 0, 5, 5, 5], [5, 5, 0, 5, 5, 5, 5, 0, 0, 0, 5, 5, 5, 5, 0, 5, 0, 0, 5, 5], [5, 0, 5, 0, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 5, 0, 5, 0, 0], [0, 5, 0, 5, 5, 0, 5, 5, 5, 0, 0, 5, 5, 0, 5, 5, 0, 0, 5, 5], [0, 5, 5, 5, 5, 5, 5, 5, 0, 0, 5, 5, 0, 0, 5, 5, 5, 5, 5, 5], [5, 5, 0, 5, 0, 5, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 0, 0, 5], [0, 5, 5, 5, 5, 5, 0, 0, 5, 5, 5, 0, 5, 5, 0, 5, 5, 0, 5, 5], [5, 5, 0, 0, 5, 0, 5, 0, 0, 5, 5, 5, 0, 0, 5, 5, 5, 5, 0, 5], [5, 0, 0, 5, 0, 5, 0, 0, 0, 5, 0, 0, 5, 0, 0, 5, 0, 5, 0, 5], [0, 5, 5, 5, 5, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 0, 0, 5, 5, 5], [9, 0, 9, 0, 9, 9, 9, 0, 9, 9, 9, 0, 9, 9, 0, 0, 0, 0, 9, 9], [9, 9, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0, 0, 9, 0, 0, 0, 9, 0, 0], [9, 9, 0, 0, 9, 9, 9, 9, 9, 0, 0, 0, 9, 0, 9, 0, 9, 9, 0, 0], [9, 9, 0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 0, 0, 0, 9, 0, 0, 9], [0, 9, 0, 9, 9, 0, 9, 0, 9, 0, 9, 0, 0, 0, 9, 0, 0, 9, 9, 9], [9, 9, 9, 9, 0, 9, 0, 9, 0, 0, 9, 9, 0, 0, 0, 9, 9, 9, 9, 0], [9, 0, 0, 0, 9, 0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 0, 9, 0, 0, 9], [9, 9, 9, 9, 0, 0, 0, 9, 9, 0, 9, 9, 0, 0, 9, 0, 0, 0, 0, 9], [9, 0, 9, 0, 9, 9, 9, 0, 9, 0, 0, 0, 9, 9, 0, 0, 0, 0, 9, 9], [9, 9, 9, 9, 0, 9, 9, 9, 0, 9, 9, 0, 0, 9, 9, 0, 0, 9, 9, 9], [9, 0, 0, 9, 0, 0, 0, 9, 0, 9, 9, 9, 9, 9, 0, 9, 0, 0, 9, 9], [0, 9, 9, 0, 9, 0, 9, 9, 9, 9, 0, 9, 9, 9, 9, 9, 9, 9, 9, 0], [9, 9, 0, 0, 9, 9, 0, 0, 9, 9, 0, 9, 0, 0, 0, 9, 0, 0, 9, 9], [0, 0, 9, 9, 9, 0, 0, 0, 9, 9, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0], [9, 9, 0, 9, 9, 0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 0, 0, 9, 0, 9], [0, 9, 9, 0, 0, 9, 0, 0, 0, 0, 9, 9, 0, 0, 0, 0, 9, 9, 0, 9], [9, 9, 0, 9, 9, 9, 0, 9, 0, 9, 0, 9, 0, 0, 9, 9, 0, 0, 0, 0], [9, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 9], [0, 9, 0, 9, 0, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 9, 9, 9], [9, 9, 9, 9, 9, 0, 9, 9, 9, 9, 0, 9, 9, 9, 9, 9, 9, 9, 0, 0], [0, 0, 0, 6, 0, 6, 0, 6, 0, 0, 0, 0, 6, 0, 6, 6, 0, 6, 6, 6], [0, 0, 6, 6, 0, 0, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 0, 6], [6, 6, 6, 6, 0, 0, 6, 0, 6, 0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6], [0, 0, 6, 0, 0, 6, 6, 6, 6, 6, 0, 0, 6, 0, 0, 0, 0, 6, 6, 6], [6, 0, 6, 0, 6, 6, 0, 6, 6, 6, 6, 0, 0, 0, 6, 0, 6, 6, 0, 0], [0, 0, 6, 0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6], [0, 6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 6, 6, 0, 0, 0, 6, 6, 6], [0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6], [0, 0, 6, 0, 6, 6, 0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 6, 0, 0, 6], [6, 0, 0, 6, 6, 0, 6, 0, 0, 0, 0, 0, 6, 0, 6, 0, 6, 6, 0, 0], [0, 0, 0, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 6, 0, 6, 0, 0, 6, 0], [0, 0, 6, 0, 6, 6, 0, 0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0], [6, 6, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 6, 0], [6, 0, 0, 6, 0, 0, 0, 6, 6, 0, 0, 6, 0, 0, 0, 6, 0, 6, 0, 0], [6, 6, 0, 6, 0, 0, 6, 6, 0, 6, 0, 6, 0, 6, 0, 6, 6, 6, 6, 0], [6, 0, 6, 0, 0, 0, 0, 6, 0, 6, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6], [0, 0, 6, 6, 0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 0, 6, 0, 0, 6, 6], [6, 0, 0, 6, 0, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 0, 6, 6, 0, 6], [0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0], [6, 0, 6, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0, 6, 0]] -> [[7, 0, 0, 7, 7, 0, 0, 7, 7, 7, 7, 0, 7, 7, 7, 7, 0, 7, 0, 7], [7, 7, 0, 7, 0, 7, 7, 7, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 0, 7], [7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 0, 7, 7, 7, 0, 7, 7, 0, 7, 7], [7, 7, 7, 0, 0, 7, 7, 7, 7, 0, 0, 7, 7, 0, 0, 0, 0, 7, 7, 7], [7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0], [7, 0, 7, 0, 7, 0, 7, 7, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7, 7], [0, 7, 7, 7, 0, 0, 7, 0, 7, 0, 7, 7, 7, 7, 0, 0, 7, 7, 7, 7], [0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7], [0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 7, 0, 0, 7, 7, 7, 7, 0, 7, 0], [0, 0, 7, 0, 7, 7, 0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7], [0, 0, 0, 7, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 7], [0, 7, 7, 0, 0, 7, 7, 0, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7, 7, 0], [0, 7, 0, 0, 7, 0, 0, 0, 7, 7, 0, 0, 0, 7, 7, 7, 0, 7, 7, 0], [7, 0, 0, 0, 7, 0, 0, 7, 0, 0, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0], [7, 0, 0, 0, 7, 0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 7, 0, 7, 7], [7, 7, 7, 0, 0, 7, 0, 7, 0, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0], [0, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 7], [0, 7, 0, 7, 0, 7, 7, 0, 0, 7, 0, 0, 7, 7, 7, 7, 0, 0, 0, 0], [0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 7, 7, 7, 0, 7], [7, 7, 0, 7, 0, 7, 7, 7, 7, 0, 7, 7, 0, 7, 0, 0, 7, 7, 7, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[5, 0, 0, 0, 5, 5, 0, 0, 5, 5, 5, 5, 0, 5, 5, 0, 0, 0, 5, 0], [5, 5, 5, 0, 0, 5, 0, 0, 5, 0, 0, 5, 0, 0, 0, 5, 5, 0, 0, 0], [0, 5, 5, 0, 5, 5, 0, 5, 5, 5, 5, 0, 5, 0, 5, 5, 0, 5, 0, 5], [5, 5, 0, 0, 0, 0, 0, 0, 5, 5, 0, 5, 5, 5, 0, 0, 0, 5, 0, 0], [5, 5, 0, 5, 5, 5, 5, 0, 0, 5, 5, 5, 0, 0, 5, 0, 5, 5, 5, 0], [5, 0, 0, 0, 5, 5, 5, 5, 0, 0, 5, 0, 0, 5, 0, 0, 5, 0, 5, 5], [0, 5, 5, 5, 5, 0, 0, 5, 5, 5, 0, 0, 5, 5, 0, 0, 5, 5, 5, 0], [0, 5, 0, 0, 0, 0, 5, 5, 0, 5, 5, 5, 0, 0, 5, 0, 5, 5, 0, 0], [0, 5, 0, 5, 5, 5, 5, 5, 5, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 5], [5, 0, 5, 5, 0, 5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 0, 5, 5, 0, 5], [0, 0, 5, 0, 5, 0, 0, 5, 5, 0, 5, 5, 0, 0, 0, 5, 0, 5, 5, 5], [5, 5, 0, 5, 5, 5, 5, 0, 0, 0, 5, 5, 5, 5, 0, 5, 0, 0, 5, 5], [5, 0, 5, 0, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 5, 0, 5, 0, 0], [0, 5, 0, 5, 5, 0, 5, 5, 5, 0, 0, 5, 5, 0, 5, 5, 0, 0, 5, 5], [0, 5, 5, 5, 5, 5, 5, 5, 0, 0, 5, 5, 0, 0, 5, 5, 5, 5, 5, 5], [5, 5, 0, 5, 0, 5, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 0, 0, 5], [0, 5, 5, 5, 5, 5, 0, 0, 5, 5, 5, 0, 5, 5, 0, 5, 5, 0, 5, 5], [5, 5, 0, 0, 5, 0, 5, 0, 0, 5, 5, 5, 0, 0, 5, 5, 5, 5, 0, 5], [5, 0, 0, 5, 0, 5, 0, 0, 0, 5, 0, 0, 5, 0, 0, 5, 0, 5, 0, 5], [0, 5, 5, 5, 5, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 0, 0, 5, 5, 5], [3, 0, 3, 0, 3, 3, 3, 0, 3, 3, 3, 0, 3, 3, 0, 0, 0, 0, 3, 3], [3, 3, 3, 3, 3, 3, 3, 0, 3, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0], [3, 3, 0, 0, 3, 3, 3, 3, 3, 0, 0, 0, 3, 0, 3, 0, 3, 3, 0, 0], [3, 3, 0, 3, 0, 0, 0, 3, 0, 3, 0, 3, 0, 0, 0, 0, 3, 0, 0, 3], [0, 3, 0, 3, 3, 0, 3, 0, 3, 0, 3, 0, 0, 0, 3, 0, 0, 3, 3, 3], [3, 3, 3, 3, 0, 3, 0, 3, 0, 0, 3, 3, 0, 0, 0, 3, 3, 3, 3, 0], [3, 0, 0, 0, 3, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 3, 0, 0, 3], [3, 3, 3, 3, 0, 0, 0, 3, 3, 0, 3, 3, 0, 0, 3, 0, 0, 0, 0, 3], [3, 0, 3, 0, 3, 3, 3, 0, 3, 0, 0, 0, 3, 3, 0, 0, 0, 0, 3, 3], [3, 3, 3, 3, 0, 3, 3, 3, 0, 3, 3, 0, 0, 3, 3, 0, 0, 3, 3, 3], [3, 0, 0, 3, 0, 0, 0, 3, 0, 3, 3, 3, 3, 3, 0, 3, 0, 0, 3, 3], [0, 3, 3, 0, 3, 0, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 0], [3, 3, 0, 0, 3, 3, 0, 0, 3, 3, 0, 3, 0, 0, 0, 3, 0, 0, 3, 3], [0, 0, 3, 3, 3, 0, 0, 0, 3, 3, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0], [3, 3, 0, 3, 3, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 3, 0, 3], [0, 3, 3, 0, 0, 3, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 3, 3, 0, 3], [3, 3, 0, 3, 3, 3, 0, 3, 0, 3, 0, 3, 0, 0, 3, 3, 0, 0, 0, 0], [3, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 0, 3, 3, 3, 0, 3], [0, 3, 0, 3, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3], [3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 0, 0], [0, 0, 0, 6, 0, 6, 0, 6, 0, 0, 0, 0, 6, 0, 6, 6, 0, 6, 6, 6], [0, 0, 6, 6, 0, 0, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 0, 6], [6, 6, 6, 6, 0, 0, 6, 0, 6, 0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6], [0, 0, 6, 0, 0, 6, 6, 6, 6, 6, 0, 0, 6, 0, 0, 0, 0, 6, 6, 6], [6, 0, 6, 0, 6, 6, 0, 6, 6, 6, 6, 0, 0, 0, 6, 0, 6, 6, 0, 0], [0, 0, 6, 0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6], [0, 6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 6, 6, 0, 0, 0, 6, 6, 6], [0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6], [0, 0, 6, 0, 6, 6, 0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 6, 0, 0, 6], [6, 0, 0, 6, 6, 0, 6, 0, 0, 0, 0, 0, 6, 0, 6, 0, 6, 6, 0, 0], [0, 0, 0, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 6, 0, 6, 0, 0, 6, 0], [0, 0, 6, 0, 6, 6, 0, 0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0], [6, 6, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 6, 0], [6, 0, 0, 6, 0, 0, 0, 6, 6, 0, 0, 6, 0, 0, 0, 6, 0, 6, 0, 0], [6, 6, 0, 6, 0, 0, 6, 6, 0, 6, 0, 6, 0, 6, 0, 6, 6, 6, 6, 0], [6, 0, 6, 0, 0, 0, 0, 6, 0, 6, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6], [0, 0, 6, 6, 0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 0, 6, 0, 0, 6, 6], [6, 0, 0, 6, 0, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 0, 6, 6, 0, 6], [0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0], [6, 0, 6, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0, 6, 0]] -> [[7, 0, 0, 7, 7, 0, 0, 7, 7, 7, 7, 0, 7, 7, 7, 7, 0, 7, 0, 7], [7, 7, 0, 7, 0, 7, 7, 7, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 0, 7], [7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 0, 7, 7, 7, 0, 7, 7, 0, 7, 7], [7, 7, 7, 0, 0, 7, 7, 7, 7, 0, 0, 7, 7, 0, 0, 0, 0, 7, 7, 7], [7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0], [7, 0, 7, 0, 7, 0, 7, 7, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7, 7], [0, 7, 7, 7, 0, 0, 7, 0, 7, 0, 7, 7, 7, 7, 0, 0, 7, 7, 7, 7], [0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7], [0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 7, 0, 0, 7, 7, 7, 7, 0, 7, 0], [0, 0, 7, 0, 7, 7, 0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7], [0, 0, 0, 7, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 7], [0, 7, 7, 0, 0, 7, 7, 0, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7, 7, 0], [0, 7, 0, 0, 7, 0, 0, 0, 7, 7, 0, 0, 0, 7, 7, 7, 0, 7, 7, 0], [7, 0, 0, 0, 7, 0, 0, 7, 0, 0, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0], [7, 0, 0, 0, 7, 0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 7, 0, 7, 7], [7, 7, 7, 0, 0, 7, 0, 7, 0, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0], [0, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 7], [0, 7, 0, 7, 0, 7, 7, 0, 0, 7, 0, 0, 7, 7, 7, 7, 0, 0, 0, 0], [0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 7, 7, 7, 0, 7], [7, 7, 0, 7, 0, 7, 7, 7, 7, 0, 7, 7, 0, 7, 0, 0, 7, 7, 7, 0]]\nExample input-output arrays:\n[[5, 5, 0, 0, 5, 5, 0, 0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 5, 5, 0], [5, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5], [5, 0, 0, 5, 0, 0, 0, 5, 0, 5, 0, 5, 0, 5, 0, 5, 5, 5, 0, 5], [0, 0, 0, 5, 5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 0], [5, 5, 5, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 5, 5], [0, 0, 5, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 0, 5, 5, 5, 0, 0, 0], [5, 0, 0, 5, 5, 5, 0, 5, 0, 5, 5, 0, 0, 0, 5, 0, 0, 0, 5, 5], [0, 0, 5, 5, 5, 5, 0, 5, 0, 5, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0], [0, 5, 5, 5, 5, 0, 5, 5, 0, 0, 0, 0, 5, 0, 5, 0, 0, 0, 0, 0], [5, 0, 5, 0, 0, 5, 0, 5, 5, 5, 0, 0, 0, 0, 5, 5, 5, 0, 0, 5], [5, 5, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 5, 0, 5, 0, 0, 5, 0, 5], [0, 0, 5, 5, 5, 5, 0, 5, 5, 5, 0, 0, 5, 5, 0, 0, 0, 5, 5, 0], [0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 0, 5, 5], [0, 0, 5, 0, 5, 5, 0, 5, 0, 5, 0, 5, 5, 0, 5, 5, 0, 5, 5, 0], [5, 0, 5, 0, 0, 5, 0, 0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 5, 5, 5], [0, 5, 5, 0, 5, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 0, 5, 0, 0, 0], [5, 0, 0, 0, 0, 0, 5, 5, 0, 5, 0, 0, 5, 0, 5, 5, 5, 5, 5, 0], [0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0, 5, 0, 5, 5, 5, 0], [0, 5, 5, 5, 0, 5, 0, 0, 5, 5, 5, 5, 5, 0, 0, 5, 5, 5, 0, 5], [0, 0, 5, 5, 5, 0, 0, 0, 5, 0, 5, 5, 0, 0, 0, 5, 0, 0, 5, 0], [0, 9, 0, 9, 0, 9, 9, 9, 9, 0, 0, 9, 9, 0, 0, 0, 9, 0, 0, 9], [9, 9, 0, 9, 0, 0, 9, 9, 0, 0, 9, 9, 0, 0, 9, 9, 0, 9, 9, 0], [0, 9, 9, 9, 9, 0, 9, 0, 9, 0, 0, 9, 0, 0, 9, 9, 9, 0, 9, 9], [0, 9, 0, 0, 0, 9, 0, 0, 0, 9, 9, 0, 9, 0, 9, 9, 9, 9, 9, 9], [0, 9, 0, 0, 9, 0, 0, 0, 0, 9, 0, 9, 9, 9, 9, 9, 0, 0, 0, 9], [0, 9, 9, 9, 0, 0, 0, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 9, 9], [0, 0, 9, 0, 0, 0, 0, 9, 0, 0, 0, 9, 9, 9, 0, 0, 0, 9, 9, 0], [0, 9, 9, 9, 0, 0, 9, 0, 0, 9, 0, 9, 9, 9, 9, 9, 0, 0, 0, 0], [9, 0, 9, 0, 0, 0, 9, 9, 9, 0, 9, 9, 0, 0, 9, 9, 0, 0, 9, 9], [0, 9, 9, 9, 9, 0, 0, 0, 9, 0, 9, 0, 0, 0, 0, 0, 0, 9, 9, 9], [0, 9, 9, 0, 0, 9, 0, 9, 0, 9, 0, 0, 9, 9, 9, 0, 0, 0, 9, 0], [9, 9, 0, 0, 0, 9, 9, 0, 9, 0, 0, 9, 0, 9, 9, 9, 9, 9, 9, 9], [0, 9, 0, 9, 0, 0, 0, 9, 0, 0, 9, 0, 0, 9, 0, 0, 0, 9, 9, 9], [0, 0, 9, 9, 9, 0, 0, 0, 9, 9, 0, 0, 0, 9, 9, 9, 0, 9, 9, 0], [0, 0, 0, 0, 0, 9, 0, 9, 0, 0, 0, 9, 9, 0, 9, 0, 0, 9, 9, 0], [0, 0, 0, 0, 9, 0, 9, 9, 0, 0, 9, 9, 0, 0, 0, 9, 0, 9, 0, 0], [9, 0, 0, 0, 9, 0, 9, 9, 9, 0, 0, 9, 0, 9, 9, 9, 9, 0, 9, 0], [0, 0, 0, 9, 0, 0, 9, 0, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0, 0, 0], [0, 0, 9, 9, 0, 9, 0, 0, 0, 0, 0, 0, 0, 9, 9, 0, 9, 0, 0, 0], [0, 0, 0, 9, 0, 0, 0, 9, 9, 0, 9, 0, 0, 9, 0, 0, 0, 0, 0, 0], [0, 6, 0, 6, 6, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 6, 0], [6, 0, 6, 6, 6, 0, 6, 0, 0, 6, 0, 0, 0, 6, 6, 6, 0, 6, 6, 6], [0, 0, 6, 6, 0, 0, 6, 6, 6, 0, 0, 6, 0, 0, 6, 0, 6, 6, 6, 0], [0, 0, 6, 6, 6, 6, 0, 6, 6, 0, 0, 6, 0, 6, 6, 0, 0, 0, 6, 6], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 6, 6, 6, 0, 6, 6], [6, 6, 6, 0, 0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 0, 0, 6, 6, 6], [6, 6, 6, 6, 6, 0, 0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 6, 6, 0, 6], [6, 0, 0, 6, 0, 6, 0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 0, 0], [0, 0, 0, 0, 0, 6, 0, 0, 6, 0, 0, 0, 6, 0, 6, 6, 0, 0, 0, 0], [0, 0, 6, 0, 6, 0, 0, 6, 0, 6, 6, 6, 0, 0, 0, 6, 6, 6, 6, 0], [6, 0, 0, 6, 6, 0, 0, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 0, 6, 0], [6, 0, 6, 0, 0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 0, 0, 0, 6, 0, 0], [0, 6, 0, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0, 6, 0, 0, 0, 0, 6, 6], [6, 6, 0, 0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6], [6, 6, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 0, 6], [0, 6, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 6], [6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 0, 6], [6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6, 0, 6, 6, 6, 0, 6, 0], [0, 0, 6, 0, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 0, 6, 0, 6]] -> [[0, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7, 0], [0, 0, 7, 7, 7, 0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7], [0, 0, 7, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0, 7, 7, 7], [0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 7, 0, 0, 7], [0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 7, 7, 7, 0, 7, 0], [7, 7, 0, 0, 0, 7, 0, 7, 7, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 0, 0, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7], [7, 0, 7, 0, 0, 7, 0, 7, 0, 0, 7, 7, 0, 0, 7, 0, 7, 7, 0, 0], [0, 0, 7, 0, 0, 7, 7, 7, 7, 0, 0, 0, 7, 0, 0, 7, 0, 0, 0, 0], [0, 0, 0, 0, 7, 0, 0, 7, 7, 7, 7, 7, 0, 0, 0, 7, 7, 7, 7, 7], [7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 7, 7, 0, 7, 0], [7, 0, 7, 0, 0, 7, 7, 7, 7, 0, 0, 7, 7, 7, 0, 0, 0, 0, 7, 0], [0, 0, 0, 7, 7, 7, 7, 7, 0, 7, 7, 7, 0, 7, 0, 0, 0, 0, 0, 0], [7, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 0, 0, 7], [7, 7, 0, 7, 7, 7, 7, 7, 0, 0, 7, 7, 0, 0, 0, 7, 7, 7, 7, 7], [0, 7, 0, 0, 7, 0, 7, 7, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7], [0, 7, 0, 0, 0, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7], [7, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 7, 7, 7, 7], [7, 7, 0, 0, 7, 0, 0, 7, 7, 0, 0, 0, 7, 0, 7, 7, 0, 0, 7, 0], [0, 0, 7, 7, 7, 7, 7, 7, 0, 0, 7, 0, 0, 0, 7, 0, 0, 7, 0, 7]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[5, 5, 0, 0, 5, 5, 0, 0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 5, 5, 0], [5, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5], [5, 0, 0, 5, 0, 0, 0, 5, 0, 5, 0, 5, 0, 5, 0, 5, 5, 5, 0, 5], [0, 0, 0, 5, 5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 0], [5, 5, 5, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 5, 5], [0, 0, 5, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 0, 5, 5, 5, 0, 0, 0], [5, 0, 0, 5, 5, 5, 0, 5, 0, 5, 5, 0, 0, 0, 5, 0, 0, 0, 5, 5], [0, 0, 5, 5, 5, 5, 0, 5, 0, 5, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0], [0, 5, 5, 5, 5, 0, 5, 5, 0, 0, 0, 0, 5, 0, 5, 0, 0, 0, 0, 0], [5, 0, 5, 0, 0, 5, 0, 5, 5, 5, 0, 0, 0, 0, 5, 5, 5, 0, 0, 5], [5, 5, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 5, 0, 5, 0, 0, 5, 0, 5], [0, 0, 5, 5, 5, 5, 0, 5, 5, 5, 0, 0, 5, 5, 0, 0, 0, 5, 5, 0], [0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 0, 5, 5], [0, 0, 5, 0, 5, 5, 0, 5, 0, 5, 0, 5, 5, 0, 5, 5, 0, 5, 5, 0], [5, 0, 5, 0, 0, 5, 0, 0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 5, 5, 5], [0, 5, 5, 0, 5, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 0, 5, 0, 0, 0], [5, 0, 0, 0, 0, 0, 5, 5, 0, 5, 0, 0, 5, 0, 5, 5, 5, 5, 5, 0], [0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0, 5, 0, 5, 5, 5, 0], [0, 5, 5, 5, 0, 5, 0, 0, 5, 5, 5, 5, 5, 0, 0, 5, 5, 5, 0, 5], [0, 0, 5, 5, 5, 0, 0, 0, 5, 0, 5, 5, 0, 0, 0, 5, 0, 0, 5, 0], [0, 4, 0, 4, 0, 4, 4, 4, 4, 0, 0, 4, 4, 0, 0, 0, 4, 0, 0, 4], [4, 4, 0, 4, 0, 0, 4, 4, 0, 0, 4, 4, 0, 0, 4, 4, 0, 4, 4, 0], [0, 4, 4, 4, 4, 0, 4, 0, 4, 0, 0, 4, 0, 0, 4, 4, 4, 0, 4, 4], [0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 4, 0, 4, 0, 4, 4, 4, 4, 4, 4], [0, 4, 0, 0, 4, 0, 0, 0, 0, 4, 0, 4, 4, 4, 4, 4, 0, 0, 0, 4], [0, 4, 4, 4, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 4, 4], [0, 0, 4, 0, 0, 0, 0, 4, 0, 0, 0, 4, 4, 4, 0, 0, 0, 4, 4, 0], [0, 4, 4, 4, 0, 0, 4, 0, 0, 4, 0, 4, 4, 4, 4, 4, 0, 0, 0, 0], [4, 0, 4, 0, 0, 0, 4, 4, 4, 0, 4, 4, 0, 0, 4, 4, 0, 0, 4, 4], [0, 4, 4, 4, 4, 0, 0, 0, 4, 0, 4, 0, 0, 0, 0, 0, 0, 4, 4, 4], [0, 4, 4, 0, 0, 4, 0, 4, 0, 4, 0, 0, 4, 4, 4, 0, 0, 0, 4, 0], [4, 4, 0, 0, 0, 4, 4, 0, 4, 0, 0, 4, 0, 4, 4, 4, 4, 4, 4, 4], [0, 4, 0, 4, 0, 0, 0, 4, 0, 0, 4, 0, 0, 4, 0, 0, 0, 4, 4, 4], [0, 0, 4, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 4, 4, 4, 0, 4, 4, 0], [0, 0, 0, 0, 0, 4, 0, 4, 0, 0, 0, 4, 4, 0, 4, 0, 0, 4, 4, 0], [0, 0, 0, 0, 4, 0, 4, 4, 0, 0, 4, 4, 0, 0, 0, 4, 0, 4, 0, 0], [4, 0, 0, 0, 4, 0, 4, 4, 4, 0, 0, 4, 0, 4, 4, 4, 4, 0, 4, 0], [0, 0, 0, 4, 0, 0, 4, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0], [0, 0, 4, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 4, 0, 0, 0], [0, 0, 0, 4, 0, 0, 0, 4, 4, 0, 4, 0, 0, 4, 0, 0, 0, 0, 0, 0], [0, 6, 0, 6, 6, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 6, 0], [6, 0, 6, 6, 6, 0, 6, 0, 0, 6, 0, 0, 0, 6, 6, 6, 0, 6, 6, 6], [0, 0, 6, 6, 0, 0, 6, 6, 6, 0, 0, 6, 0, 0, 6, 0, 6, 6, 6, 0], [0, 0, 6, 6, 6, 6, 0, 6, 6, 0, 0, 6, 0, 6, 6, 0, 0, 0, 6, 6], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 6, 6, 6, 0, 6, 6], [6, 6, 6, 0, 0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 0, 0, 6, 6, 6], [6, 6, 6, 6, 6, 0, 0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 6, 6, 0, 6], [6, 0, 0, 6, 0, 6, 0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 0, 0], [0, 0, 0, 0, 0, 6, 0, 0, 6, 0, 0, 0, 6, 0, 6, 6, 0, 0, 0, 0], [0, 0, 6, 0, 6, 0, 0, 6, 0, 6, 6, 6, 0, 0, 0, 6, 6, 6, 6, 0], [6, 0, 0, 6, 6, 0, 0, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 0, 6, 0], [6, 0, 6, 0, 0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 0, 0, 0, 6, 0, 0], [0, 6, 0, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0, 6, 0, 0, 0, 0, 6, 6], [6, 6, 0, 0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6], [6, 6, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 0, 6], [0, 6, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 6], [6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 0, 6], [6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6, 0, 6, 6, 6, 0, 6, 0], [0, 0, 6, 0, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 0, 6, 0, 6]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            5,
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+                        [
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+                        [
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+                        [
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+                        [
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+            "Replicate 2": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[5, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 5, 0, 5, 0, 0, 0, 0, 5, 0], [0, 0, 0, 5, 0, 5, 0, 0, 0, 5, 5, 0, 5, 5, 5, 0, 5, 5, 5, 0], [5, 0, 0, 0, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 0, 0, 5, 5, 5, 0], [0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 5, 5, 0], [5, 5, 5, 0, 0, 0, 0, 5, 0, 0, 0, 5, 5, 0, 5, 5, 5, 0, 0, 5], [0, 0, 5, 5, 0, 5, 0, 5, 0, 0, 0, 0, 5, 0, 5, 5, 5, 0, 5, 0], [0, 5, 5, 5, 0, 5, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 0, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 5, 5, 0, 5, 0, 0, 5, 5, 0, 0], [0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 5, 5, 5, 5, 0, 0], [5, 5, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 5, 5, 5], [0, 0, 0, 0, 5, 5, 0, 5, 5, 0, 5, 5, 0, 0, 0, 0, 5, 5, 0, 0], [0, 5, 5, 5, 5, 5, 5, 0, 5, 0, 0, 5, 5, 0, 0, 5, 0, 5, 0, 5], [0, 5, 0, 5, 5, 5, 5, 5, 5, 0, 5, 5, 0, 0, 5, 0, 0, 5, 0, 5], [0, 0, 0, 5, 0, 0, 5, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 0, 0, 0], [0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 5, 5, 5, 5, 5, 5, 0, 5, 5], [5, 5, 0, 0, 5, 0, 5, 5, 5, 5, 0, 5, 0, 5, 0, 5, 0, 0, 0, 5], [0, 5, 5, 5, 0, 5, 5, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 5], [0, 0, 0, 0, 5, 5, 5, 5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 5, 0, 5], [0, 5, 5, 0, 0, 5, 5, 0, 0, 5, 0, 5, 0, 5, 5, 5, 5, 5, 0, 0], [5, 5, 5, 5, 0, 0, 5, 0, 0, 0, 5, 0, 5, 5, 5, 5, 5, 5, 5, 0], [0, 0, 9, 9, 9, 0, 9, 0, 0, 0, 9, 0, 0, 0, 0, 9, 0, 9, 9, 0], [9, 9, 0, 0, 0, 9, 9, 0, 0, 0, 0, 9, 0, 9, 0, 0, 9, 0, 0, 0], [9, 9, 0, 9, 0, 0, 0, 9, 0, 9, 0, 0, 0, 0, 9, 9, 0, 9, 9, 0], [0, 0, 9, 0, 0, 0, 9, 0, 0, 9, 9, 9, 0, 9, 0, 0, 0, 0, 0, 9], [0, 0, 0, 0, 9, 0, 0, 9, 0, 9, 9, 0, 9, 0, 9, 9, 0, 0, 9, 9], [9, 9, 0, 9, 9, 9, 0, 0, 9, 0, 9, 0, 9, 9, 9, 0, 9, 0, 0, 9], [9, 9, 9, 9, 0, 9, 9, 0, 9, 9, 9, 9, 0, 9, 9, 9, 9, 0, 0, 9], [9, 9, 9, 9, 9, 0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 0, 0, 0, 9], [9, 9, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 0, 0, 9, 9, 0, 0, 9], [0, 0, 0, 9, 0, 0, 9, 0, 0, 0, 9, 9, 0, 0, 9, 0, 9, 0, 0, 0], [0, 0, 0, 0, 9, 0, 9, 0, 0, 0, 9, 9, 0, 0, 9, 9, 9, 9, 9, 9], [0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 9, 0, 9, 9, 0, 0], [0, 9, 0, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 0, 9, 0, 9, 9, 0], [0, 9, 9, 9, 9, 0, 9, 9, 9, 9, 9, 9, 9, 0, 9, 9, 0, 9, 9, 9], [0, 0, 9, 9, 9, 9, 0, 0, 9, 9, 9, 0, 9, 0, 0, 0, 9, 0, 0, 0], [9, 9, 0, 0, 0, 9, 0, 0, 0, 0, 0, 9, 9, 9, 9, 9, 0, 0, 9, 0], [0, 9, 9, 9, 0, 0, 9, 0, 9, 9, 0, 9, 0, 0, 9, 0, 9, 0, 0, 9], [0, 9, 0, 0, 0, 9, 9, 9, 9, 0, 0, 0, 0, 9, 9, 9, 0, 9, 0, 9], [0, 0, 0, 9, 9, 9, 0, 9, 0, 9, 0, 9, 9, 0, 0, 0, 9, 0, 9, 9], [0, 9, 9, 9, 9, 0, 0, 0, 9, 0, 0, 9, 9, 0, 9, 9, 0, 0, 0, 0], [6, 6, 0, 0, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 0, 6, 0, 0, 0], [6, 6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 6, 0, 6, 0, 6, 0, 6], [6, 0, 6, 6, 0, 0, 0, 0, 6, 0, 6, 6, 0, 6, 0, 6, 6, 0, 6, 0], [6, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 6, 0], [6, 6, 0, 6, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 6, 0, 0, 6, 0, 0], [6, 6, 6, 0, 6, 6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 0], [0, 6, 0, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 0, 6, 6, 6, 0, 6, 0], [6, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6], [6, 0, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0, 6, 0, 6, 6, 6, 0, 6, 6], [0, 6, 6, 6, 0, 0, 6, 6, 0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6, 0], [0, 6, 6, 0, 6, 0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6], [6, 0, 0, 0, 6, 6, 0, 6, 0, 0, 0, 0, 6, 0, 6, 6, 0, 6, 0, 0], [6, 6, 6, 6, 6, 0, 0, 6, 6, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0], [0, 6, 0, 0, 0, 0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 6, 6, 6, 6, 0], [0, 0, 6, 0, 6, 0, 0, 0, 6, 0, 0, 6, 6, 0, 0, 6, 0, 6, 0, 0], [0, 6, 6, 6, 0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 6], [0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 6, 6, 0, 6, 0, 6], [6, 0, 0, 6, 0, 6, 0, 6, 0, 6, 6, 0, 6, 0, 0, 0, 6, 6, 6, 0], [0, 0, 6, 0, 6, 6, 6, 0, 0, 6, 0, 0, 0, 6, 6, 0, 6, 0, 0, 6], [0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 6]] -> [[7, 7, 0, 0, 7, 7, 0, 0, 7, 7, 7, 7, 7, 7, 0, 0, 7, 0, 7, 0], [7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 0, 0, 0, 7, 7, 7, 0, 7], [0, 0, 7, 7, 0, 0, 0, 7, 7, 0, 7, 7, 0, 7, 0, 7, 7, 7, 0, 0], [7, 0, 7, 7, 0, 7, 7, 0, 0, 0, 0, 0, 7, 0, 7, 7, 0, 0, 7, 0], [7, 7, 0, 7, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 0, 7, 0, 7, 0, 7], [7, 7, 7, 7, 7, 0, 7, 7, 7, 0, 7, 7, 0, 0, 0, 7, 7, 0, 0, 0], [0, 0, 7, 0, 7, 7, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7, 7, 0, 7, 7], [0, 7, 0, 7, 7, 7, 7, 0, 7, 0, 7, 7, 7, 7, 0, 7, 7, 7, 0, 7], [7, 0, 7, 0, 7, 7, 7, 0, 0, 0, 0, 7, 7, 0, 7, 0, 0, 0, 7, 7], [0, 7, 7, 7, 0, 0, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 0, 7, 7, 0], [0, 7, 7, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 7, 0, 0, 7], [7, 0, 7, 0, 7, 7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7, 0, 0, 0, 0], [7, 0, 7, 7, 0, 0, 7, 7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 7, 0, 0], [0, 7, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7, 7, 7, 7, 7, 0], [0, 0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 7, 7, 7, 0, 0], [7, 0, 7, 7, 0, 0, 7, 7, 0, 0, 0, 0, 7, 7, 0, 7, 7, 7, 0, 7], [0, 7, 0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 7, 7, 0, 7, 0, 0], [7, 0, 0, 7, 0, 0, 7, 0, 7, 7, 7, 0, 7, 0, 0, 0, 7, 0, 7, 7], [0, 0, 7, 0, 7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7, 0, 0, 0, 0, 7], [0, 7, 7, 7, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 0, 0, 7]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [9, 0, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 9, 0, 0, 0, 9, 0, 9, 9], [9, 0, 9, 0, 0, 9, 0, 0, 0, 9, 0, 0, 9, 0, 0, 0, 9, 0, 9, 9], [9, 9, 0, 9, 9, 0, 0, 9, 9, 9, 0, 0, 9, 9, 0, 0, 9, 0, 0, 0], [9, 9, 0, 0, 0, 0, 9, 9, 9, 0, 9, 9, 9, 0, 9, 0, 9, 0, 0, 0], [9, 9, 0, 0, 9, 9, 9, 9, 9, 9, 0, 9, 0, 9, 0, 9, 0, 9, 9, 9], [0, 0, 9, 0, 9, 0, 9, 0, 0, 9, 0, 9, 9, 9, 0, 0, 9, 0, 9, 0], [0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 9, 0, 0, 0, 9, 0, 9, 0, 0, 9], [0, 0, 0, 0, 9, 0, 0, 9, 9, 9, 9, 0, 0, 0, 0, 9, 9, 9, 9, 9], [0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 0, 9, 9, 9, 0, 0, 9, 0, 9, 0], [0, 9, 0, 9, 0, 0, 9, 9, 0, 9, 0, 9, 0, 0, 9, 9, 9, 9, 9, 0], [0, 0, 0, 9, 9, 9, 9, 0, 9, 9, 9, 0, 9, 0, 9, 9, 9, 0, 0, 0], [9, 0, 0, 0, 9, 0, 9, 9, 0, 0, 9, 9, 0, 0, 0, 0, 0, 9, 0, 9], [0, 9, 9, 0, 0, 0, 0, 0, 9, 9, 9, 9, 9, 9, 0, 9, 9, 0, 0, 0], [0, 0, 9, 9, 0, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0], [9, 0, 0, 9, 0, 9, 0, 9, 0, 9, 9, 0, 9, 9, 9, 9, 9, 9, 0, 0], [9, 9, 9, 0, 9, 0, 0, 0, 0, 0, 0, 9, 9, 0, 0, 0, 9, 0, 9, 9], [0, 0, 9, 0, 0, 0, 0, 0, 9, 0, 9, 9, 9, 9, 9, 0, 9, 9, 0, 0], [0, 9, 9, 0, 0, 0, 9, 9, 9, 9, 9, 9, 9, 0, 0, 0, 9, 9, 0, 0], [0, 0, 9, 9, 0, 9, 0, 0, 9, 9, 0, 9, 0, 9, 0, 0, 9, 0, 0, 9], [9, 0, 9, 9, 9, 0, 0, 9, 0, 0, 0, 0, 9, 9, 0, 0, 0, 0, 9, 9], [0, 0, 6, 0, 6, 0, 0, 6, 6, 0, 0, 6, 0, 0, 0, 6, 0, 6, 0, 0], [6, 0, 6, 6, 6, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 6], [0, 6, 6, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 0, 0], [6, 6, 0, 0, 0, 6, 0, 0, 0, 6, 6, 6, 6, 0, 6, 0, 0, 6, 6, 0], [6, 0, 0, 6, 6, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0, 0, 6, 0, 6, 6], [0, 6, 6, 0, 6, 0, 6, 6, 0, 6, 0, 0, 0, 0, 6, 0, 6, 0, 6, 6], [0, 6, 6, 0, 0, 6, 0, 0, 6, 0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 0], [0, 6, 6, 0, 0, 0, 6, 6, 0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 6, 0], [0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 6, 0, 0, 6, 6, 0, 6, 6, 0], [6, 6, 0, 6, 0, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 6, 6, 0], [6, 6, 0, 6, 6, 6, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0], [6, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0], [6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 6, 0, 0, 6, 6, 6, 6, 6], [6, 6, 6, 6, 0, 6, 6, 6, 0, 0, 6, 0, 0, 0, 6, 0, 0, 0, 0, 6], [6, 6, 6, 0, 6, 0, 0, 0, 0, 6, 6, 0, 6, 6, 0, 6, 0, 6, 6, 0], [6, 6, 0, 6, 0, 0, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0, 6, 0, 0, 0], [0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 6, 0, 0, 6, 0, 0, 0, 6, 6, 0], [0, 0, 6, 6, 0, 6, 0, 0, 6, 0, 0, 6, 0, 6, 0, 0, 0, 0, 6, 6], [0, 0, 0, 6, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6], [6, 6, 0, 0, 6, 6, 0, 0, 6, 6, 6, 0, 0, 0, 0, 6, 0, 0, 0, 0]] -> [[0, 0, 7, 0, 7, 0, 0, 7, 7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 0], [7, 0, 7, 7, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 7], [0, 7, 7, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0, 0, 7, 0, 0], [7, 7, 0, 0, 0, 7, 0, 0, 0, 7, 7, 7, 7, 0, 7, 0, 0, 7, 7, 0], [7, 0, 0, 7, 7, 0, 7, 7, 7, 7, 0, 7, 0, 7, 0, 0, 7, 0, 7, 7], [0, 7, 7, 0, 7, 0, 7, 7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 0, 7, 7], [0, 7, 7, 0, 0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 0, 7, 0, 0], [0, 7, 7, 0, 0, 0, 7, 7, 0, 7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 0], [0, 7, 7, 7, 7, 7, 7, 7, 0, 0, 0, 7, 0, 0, 7, 7, 0, 7, 7, 0], [7, 7, 0, 7, 0, 0, 7, 7, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7, 7, 0], [7, 7, 0, 7, 7, 7, 0, 0, 0, 7, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0], [7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 7, 7, 0, 0, 0], [7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 0, 0, 7, 0, 0, 7, 7, 7, 7, 7], [7, 7, 7, 7, 0, 7, 7, 7, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7], [7, 7, 7, 0, 7, 0, 0, 0, 0, 7, 7, 0, 7, 7, 0, 7, 0, 7, 7, 0], [7, 7, 0, 7, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0], [0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 7, 0, 0, 7, 0, 0, 0, 7, 7, 0], [0, 0, 7, 7, 0, 7, 0, 0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 0, 7, 7], [0, 0, 0, 7, 0, 7, 0, 7, 7, 0, 7, 7, 7, 0, 0, 0, 0, 7, 7, 7], [7, 7, 0, 0, 7, 7, 0, 0, 7, 7, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 5, 0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0], [5, 5, 0, 0, 0, 5, 5, 0, 0, 5, 5, 0, 0, 0, 0, 5, 0, 5, 0, 0], [5, 0, 5, 5, 0, 5, 5, 5, 5, 5, 0, 0, 0, 0, 0, 5, 0, 5, 5, 0], [0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 5, 0, 5, 0, 5, 5, 0, 0, 0, 5], [5, 0, 5, 5, 0, 0, 0, 0, 0, 0, 5, 0, 5, 0, 5, 5, 0, 0, 0, 0], [5, 5, 0, 0, 5, 5, 5, 5, 0, 0, 0, 5, 0, 5, 5, 5, 0, 5, 5, 0], [5, 5, 5, 5, 5, 5, 0, 0, 5, 0, 0, 5, 5, 5, 5, 0, 0, 0, 0, 0], [5, 5, 0, 5, 5, 0, 5, 0, 0, 0, 5, 5, 5, 0, 0, 5, 0, 5, 0, 5], [5, 5, 5, 5, 0, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0, 5, 5, 5, 5], [5, 0, 5, 5, 0, 5, 5, 5, 5, 0, 5, 0, 5, 5, 0, 0, 5, 0, 5, 0], [5, 5, 0, 5, 5, 5, 5, 0, 5, 0, 0, 5, 5, 5, 5, 5, 5, 5, 0, 5], [5, 5, 0, 5, 0, 5, 5, 0, 5, 0, 0, 0, 5, 0, 5, 5, 5, 0, 5, 5], [0, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 5, 5, 0, 0, 0, 5, 0, 0, 5], [5, 5, 5, 5, 0, 0, 0, 0, 5, 0, 5, 5, 0, 0, 5, 0, 0, 5, 5, 5], [0, 5, 0, 0, 5, 0, 0, 0, 5, 5, 5, 5, 0, 0, 0, 0, 5, 0, 0, 0], [0, 5, 5, 5, 0, 0, 0, 5, 0, 5, 5, 5, 0, 0, 0, 5, 5, 0, 0, 0], [5, 0, 0, 5, 0, 0, 0, 0, 0, 0, 5, 5, 5, 5, 5, 0, 5, 0, 5, 0], [0, 0, 0, 5, 0, 0, 5, 5, 0, 5, 0, 0, 0, 0, 0, 5, 5, 0, 5, 0], [0, 5, 0, 5, 5, 5, 5, 0, 0, 5, 5, 0, 0, 0, 0, 0, 5, 5, 0, 5], [0, 5, 5, 0, 5, 0, 5, 5, 5, 0, 0, 0, 0, 5, 0, 5, 0, 0, 5, 5], [9, 0, 9, 0, 9, 0, 0, 0, 9, 9, 0, 9, 0, 0, 9, 9, 9, 9, 9, 9], [0, 9, 9, 0, 0, 9, 0, 0, 0, 9, 9, 9, 9, 0, 0, 9, 0, 9, 0, 9], [0, 0, 0, 0, 9, 0, 0, 9, 0, 9, 0, 9, 0, 0, 9, 0, 0, 9, 9, 0], [0, 0, 0, 0, 9, 9, 0, 9, 0, 0, 0, 9, 0, 0, 0, 9, 9, 0, 0, 0], [0, 9, 0, 0, 0, 9, 0, 9, 0, 0, 9, 0, 0, 0, 9, 0, 0, 9, 0, 9], [9, 0, 0, 0, 0, 9, 0, 9, 0, 0, 9, 9, 9, 9, 9, 9, 0, 0, 0, 9], [0, 0, 9, 9, 9, 9, 9, 0, 9, 0, 9, 9, 0, 9, 0, 9, 9, 0, 0, 0], [0, 9, 9, 9, 0, 9, 0, 9, 9, 0, 0, 0, 0, 0, 9, 9, 0, 0, 9, 0], [9, 0, 9, 9, 0, 0, 0, 0, 9, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0], [9, 9, 0, 0, 9, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 0, 9, 9, 0, 9], [9, 0, 0, 9, 0, 0, 9, 9, 9, 0, 9, 9, 0, 9, 0, 9, 0, 0, 0, 9], [9, 9, 9, 0, 9, 9, 9, 9, 0, 0, 0, 9, 0, 9, 0, 0, 9, 0, 9, 9], [0, 9, 0, 0, 0, 0, 9, 9, 0, 9, 9, 0, 9, 0, 0, 0, 0, 9, 0, 9], [9, 0, 0, 0, 9, 0, 0, 0, 0, 9, 0, 0, 0, 9, 9, 9, 9, 9, 9, 0], [9, 0, 0, 9, 0, 9, 0, 9, 0, 9, 0, 0, 0, 9, 9, 9, 0, 9, 9, 9], [9, 0, 9, 9, 9, 9, 9, 9, 0, 0, 9, 9, 0, 9, 9, 9, 0, 9, 0, 9], [0, 9, 9, 9, 9, 0, 0, 0, 9, 0, 9, 0, 0, 9, 9, 9, 0, 9, 0, 9], [0, 9, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 0, 0, 9, 0, 0], [0, 9, 9, 0, 0, 0, 0, 0, 0, 9, 9, 9, 0, 9, 9, 0, 9, 0, 0, 9], [0, 0, 0, 9, 9, 9, 0, 0, 0, 0, 0, 9, 0, 0, 9, 0, 0, 9, 0, 9], [6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0], [0, 6, 6, 0, 0, 6, 0, 6, 0, 0, 0, 6, 6, 0, 0, 6, 0, 0, 0, 6], [0, 6, 0, 0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 6, 6, 6, 0, 0, 6, 0, 0, 0, 0, 6, 6, 6, 0, 6, 0], [0, 6, 6, 0, 0, 6, 0, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 0], [6, 0, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 6, 6], [0, 0, 0, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 0, 0, 6, 6], [6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 6, 6, 6, 6], [0, 0, 0, 0, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0, 0, 6, 0, 0, 6, 6], [6, 6, 6, 6, 6, 6, 0, 6, 0, 0, 6, 6, 0, 0, 0, 6, 0, 0, 6, 6], [0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 6, 0, 6, 6, 0, 6], [0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 6, 6, 0, 6], [0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0], [6, 6, 6, 6, 6, 6, 0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 0, 6], [0, 6, 0, 6, 0, 0, 0, 6, 6, 0, 0, 6, 6, 6, 6, 6, 0, 6, 6, 0], [0, 6, 0, 0, 0, 0, 6, 0, 6, 0, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0], [0, 6, 0, 6, 0, 6, 6, 0, 6, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 6], [6, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0], [6, 0, 6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0], [0, 6, 6, 0, 6, 0, 0, 6, 0, 6, 0, 6, 0, 0, 0, 6, 0, 6, 6, 6]] -> [[7, 7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 0, 0], [0, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7, 7, 7, 0, 0, 0, 0, 7, 0, 7], [0, 7, 0, 0, 0, 7, 0, 0, 7, 7, 7, 7, 7, 7, 0, 0, 0, 7, 7, 0], [0, 7, 0, 0, 0, 0, 7, 7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 0, 7, 0], [0, 7, 7, 0, 0, 7, 0, 0, 7, 0, 0, 7, 0, 0, 0, 7, 7, 7, 0, 0], [0, 0, 7, 7, 0, 7, 0, 7, 7, 7, 7, 0, 7, 0, 0, 7, 0, 0, 7, 7], [0, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 7, 7], [7, 0, 7, 7, 0, 0, 0, 0, 7, 7, 0, 0, 7, 7, 0, 7, 7, 7, 7, 7], [7, 0, 7, 7, 0, 0, 7, 0, 7, 7, 0, 0, 0, 0, 0, 7, 0, 0, 7, 7], [0, 7, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7, 0, 0, 0, 7, 7, 0, 7, 7], [7, 7, 0, 0, 0, 7, 7, 7, 7, 0, 0, 7, 0, 7, 7, 7, 7, 7, 0, 0], [7, 7, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 7, 7, 0], [0, 0, 0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 7, 7, 0, 0, 0, 7, 7, 7], [0, 7, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 0, 7, 7], [0, 7, 0, 7, 0, 0, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7, 7, 0], [0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 7, 0, 7, 7, 7, 7, 7, 0, 7, 0], [0, 7, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7], [7, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0], [7, 7, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 0, 7, 0, 0, 0, 7], [0, 7, 7, 0, 0, 0, 0, 7, 0, 7, 0, 7, 0, 0, 0, 7, 0, 7, 7, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[5, 5, 0, 0, 0, 0, 5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 0, 0, 0, 5], [5, 5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0, 5, 5, 5, 5, 0, 5], [0, 5, 5, 0, 0, 5, 5, 5, 5, 0, 5, 5, 0, 0, 5, 0, 5, 5, 0, 0], [0, 0, 0, 0, 5, 5, 0, 5, 0, 0, 5, 5, 0, 0, 5, 5, 5, 0, 0, 5], [0, 0, 0, 5, 5, 0, 0, 5, 5, 5, 5, 0, 0, 5, 5, 0, 0, 0, 0, 5], [5, 0, 5, 5, 5, 5, 0, 0, 5, 5, 5, 5, 5, 5, 5, 0, 0, 0, 0, 5], [5, 5, 0, 5, 0, 5, 0, 0, 0, 5, 0, 0, 5, 5, 0, 5, 5, 5, 5, 5], [5, 0, 5, 0, 0, 0, 0, 5, 0, 0, 5, 0, 5, 5, 5, 0, 0, 0, 0, 0], [0, 5, 5, 0, 0, 5, 0, 5, 5, 5, 5, 5, 5, 0, 0, 0, 5, 5, 0, 5], [0, 5, 0, 5, 5, 5, 0, 0, 0, 0, 0, 5, 5, 5, 5, 0, 0, 0, 5, 5], [5, 0, 0, 0, 0, 0, 5, 5, 0, 5, 0, 5, 5, 5, 0, 5, 5, 0, 5, 0], [5, 0, 5, 5, 0, 5, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 0, 5], [0, 5, 5, 0, 0, 5, 5, 0, 5, 0, 5, 5, 5, 0, 5, 5, 5, 0, 0, 0], [5, 5, 0, 5, 5, 5, 5, 0, 5, 0, 5, 5, 5, 0, 5, 0, 0, 0, 5, 0], [5, 0, 5, 0, 5, 5, 0, 5, 0, 0, 0, 5, 0, 0, 0, 0, 5, 5, 0, 5], [5, 5, 5, 5, 5, 0, 0, 0, 0, 5, 5, 0, 5, 0, 0, 5, 5, 5, 5, 5], [5, 0, 0, 0, 0, 5, 5, 5, 0, 5, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0], [5, 5, 5, 5, 5, 5, 0, 0, 0, 0, 5, 0, 5, 0, 5, 5, 5, 0, 5, 0], [0, 0, 0, 5, 0, 5, 5, 5, 5, 0, 0, 0, 0, 5, 0, 0, 5, 0, 5, 5], [5, 5, 0, 0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 5, 0, 0, 5, 0, 0, 0], [9, 9, 9, 9, 0, 9, 0, 0, 0, 0, 0, 9, 9, 9, 0, 9, 0, 9, 0, 9], [9, 9, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0, 9, 0, 0, 9, 0, 0, 0, 0], [9, 9, 0, 0, 9, 9, 0, 0, 9, 9, 9, 9, 0, 9, 0, 0, 9, 0, 9, 9], [9, 9, 9, 0, 9, 0, 0, 0, 9, 9, 0, 0, 9, 9, 9, 9, 9, 0, 0, 0], [0, 9, 0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 9, 0], [0, 0, 0, 9, 9, 9, 0, 9, 9, 9, 9, 9, 9, 0, 9, 9, 9, 9, 9, 9], [0, 0, 0, 0, 9, 0, 0, 0, 0, 9, 0, 9, 9, 9, 9, 0, 0, 9, 9, 9], [9, 0, 9, 0, 9, 9, 9, 0, 9, 0, 9, 0, 0, 0, 0, 0, 0, 9, 9, 9], [0, 9, 9, 9, 0, 0, 9, 9, 9, 0, 9, 9, 0, 0, 9, 9, 0, 9, 0, 0], [9, 0, 9, 0, 9, 0, 0, 9, 0, 9, 9, 9, 0, 0, 9, 9, 0, 9, 0, 9], [0, 0, 0, 9, 0, 9, 9, 9, 0, 9, 9, 0, 9, 9, 0, 0, 0, 0, 0, 0], [0, 9, 0, 9, 0, 9, 0, 0, 0, 9, 0, 0, 9, 9, 9, 0, 9, 0, 0, 9], [9, 0, 9, 9, 0, 9, 0, 9, 9, 0, 9, 9, 9, 0, 9, 0, 0, 0, 0, 0], [0, 9, 0, 9, 9, 9, 9, 0, 9, 0, 0, 9, 9, 9, 0, 9, 9, 0, 0, 0], [9, 0, 0, 0, 0, 0, 9, 0, 9, 9, 0, 0, 9, 9, 9, 0, 9, 0, 0, 9], [0, 9, 9, 9, 9, 9, 0, 9, 0, 9, 9, 0, 0, 0, 0, 0, 9, 0, 9, 9], [0, 0, 9, 0, 0, 0, 0, 9, 0, 9, 9, 9, 0, 9, 0, 9, 0, 9, 0, 9], [9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 0, 0, 0, 9, 9, 9, 0, 0, 0, 9], [9, 9, 9, 9, 0, 9, 0, 0, 9, 0, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0], [9, 0, 9, 9, 9, 9, 0, 9, 9, 0, 0, 9, 0, 0, 0, 9, 9, 0, 9, 9], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            5,
+                            5,
+                            0,
+                            0,
+                            0,
+                            0,
+                            5,
+                            5,
+                            5,
+                            5,
+                            0,
+                            5,
+                            0,
+                            0,
+                            0,
+                            5,
+                            0,
+                            0,
+                            0,
+                            5
+                        ],
+                        [
+                            5,
+                            5,
+                            0,
+                            0,
+                            0,
+                            5,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            5,
+                            0,
+                            5,
+                            5,
+                            5,
+                            5,
+                            0,
+                            5
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+            "Replicate 3": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[5, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 5, 0, 5, 0, 0, 0, 0, 5, 0], [0, 0, 0, 5, 0, 5, 0, 0, 0, 5, 5, 0, 5, 5, 5, 0, 5, 5, 5, 0], [5, 0, 0, 0, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 0, 0, 5, 5, 5, 0], [0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 5, 5, 0], [5, 5, 5, 0, 0, 0, 0, 5, 0, 0, 0, 5, 5, 0, 5, 5, 5, 0, 0, 5], [0, 0, 5, 5, 0, 5, 0, 5, 0, 0, 0, 0, 5, 0, 5, 5, 5, 0, 5, 0], [0, 5, 5, 5, 0, 5, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 0, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 5, 5, 0, 5, 0, 0, 5, 5, 0, 0], [0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 5, 5, 5, 5, 0, 0], [5, 5, 0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 5, 5, 5], [0, 0, 0, 0, 5, 5, 0, 5, 5, 0, 5, 5, 0, 0, 0, 0, 5, 5, 0, 0], [0, 5, 5, 5, 5, 5, 5, 0, 5, 0, 0, 5, 5, 0, 0, 5, 0, 5, 0, 5], [0, 5, 0, 5, 5, 5, 5, 5, 5, 0, 5, 5, 0, 0, 5, 0, 0, 5, 0, 5], [0, 0, 0, 5, 0, 0, 5, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 0, 0, 0], [0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 5, 5, 5, 5, 5, 5, 0, 5, 5], [5, 5, 0, 0, 5, 0, 5, 5, 5, 5, 0, 5, 0, 5, 0, 5, 0, 0, 0, 5], [0, 5, 5, 5, 0, 5, 5, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 5], [0, 0, 0, 0, 5, 5, 5, 5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 5, 0, 5], [0, 5, 5, 0, 0, 5, 5, 0, 0, 5, 0, 5, 0, 5, 5, 5, 5, 5, 0, 0], [5, 5, 5, 5, 0, 0, 5, 0, 0, 0, 5, 0, 5, 5, 5, 5, 5, 5, 5, 0], [0, 0, 9, 9, 9, 0, 9, 0, 0, 0, 9, 0, 0, 0, 0, 9, 0, 9, 9, 0], [9, 9, 0, 0, 0, 9, 9, 0, 0, 0, 0, 9, 0, 9, 0, 0, 9, 0, 0, 0], [9, 9, 0, 9, 0, 0, 0, 9, 0, 9, 0, 0, 0, 0, 9, 9, 0, 9, 9, 0], [0, 0, 9, 0, 0, 0, 9, 0, 0, 9, 9, 9, 0, 9, 0, 0, 0, 0, 0, 9], [0, 0, 0, 0, 9, 0, 0, 9, 0, 9, 9, 0, 9, 0, 9, 9, 0, 0, 9, 9], [9, 9, 0, 9, 9, 9, 0, 0, 9, 0, 9, 0, 9, 9, 9, 0, 9, 0, 0, 9], [9, 9, 9, 9, 0, 9, 9, 0, 9, 9, 9, 9, 0, 9, 9, 9, 9, 0, 0, 9], [9, 9, 9, 9, 9, 0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 0, 0, 0, 9], [9, 9, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 0, 0, 9, 9, 0, 0, 9], [0, 0, 0, 9, 0, 0, 9, 0, 0, 0, 9, 9, 0, 0, 9, 0, 9, 0, 0, 0], [0, 0, 0, 0, 9, 0, 9, 0, 0, 0, 9, 9, 0, 0, 9, 9, 9, 9, 9, 9], [0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 9, 0, 9, 9, 0, 0], [0, 9, 0, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 0, 9, 0, 9, 9, 0], [0, 9, 9, 9, 9, 0, 9, 9, 9, 9, 9, 9, 9, 0, 9, 9, 0, 9, 9, 9], [0, 0, 9, 9, 9, 9, 0, 0, 9, 9, 9, 0, 9, 0, 0, 0, 9, 0, 0, 0], [9, 9, 0, 0, 0, 9, 0, 0, 0, 0, 0, 9, 9, 9, 9, 9, 0, 0, 9, 0], [0, 9, 9, 9, 0, 0, 9, 0, 9, 9, 0, 9, 0, 0, 9, 0, 9, 0, 0, 9], [0, 9, 0, 0, 0, 9, 9, 9, 9, 0, 0, 0, 0, 9, 9, 9, 0, 9, 0, 9], [0, 0, 0, 9, 9, 9, 0, 9, 0, 9, 0, 9, 9, 0, 0, 0, 9, 0, 9, 9], [0, 9, 9, 9, 9, 0, 0, 0, 9, 0, 0, 9, 9, 0, 9, 9, 0, 0, 0, 0], [6, 6, 0, 0, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 0, 6, 0, 0, 0], [6, 6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 6, 0, 6, 0, 6, 0, 6], [6, 0, 6, 6, 0, 0, 0, 0, 6, 0, 6, 6, 0, 6, 0, 6, 6, 0, 6, 0], [6, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 6, 0], [6, 6, 0, 6, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 6, 0, 0, 6, 0, 0], [6, 6, 6, 0, 6, 6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 0], [0, 6, 0, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 0, 6, 6, 6, 0, 6, 0], [6, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6], [6, 0, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0, 6, 0, 6, 6, 6, 0, 6, 6], [0, 6, 6, 6, 0, 0, 6, 6, 0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6, 0], [0, 6, 6, 0, 6, 0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6], [6, 0, 0, 0, 6, 6, 0, 6, 0, 0, 0, 0, 6, 0, 6, 6, 0, 6, 0, 0], [6, 6, 6, 6, 6, 0, 0, 6, 6, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0], [0, 6, 0, 0, 0, 0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 6, 6, 6, 6, 0], [0, 0, 6, 0, 6, 0, 0, 0, 6, 0, 0, 6, 6, 0, 0, 6, 0, 6, 0, 0], [0, 6, 6, 6, 0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 6], [0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 6, 6, 0, 6, 0, 6], [6, 0, 0, 6, 0, 6, 0, 6, 0, 6, 6, 0, 6, 0, 0, 0, 6, 6, 6, 0], [0, 0, 6, 0, 6, 6, 6, 0, 0, 6, 0, 0, 0, 6, 6, 0, 6, 0, 0, 6], [0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 6]] -> [[7, 7, 0, 0, 7, 7, 0, 0, 7, 7, 7, 7, 7, 7, 0, 0, 7, 0, 7, 0], [7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 0, 0, 0, 7, 7, 7, 0, 7], [0, 0, 7, 7, 0, 0, 0, 7, 7, 0, 7, 7, 0, 7, 0, 7, 7, 7, 0, 0], [7, 0, 7, 7, 0, 7, 7, 0, 0, 0, 0, 0, 7, 0, 7, 7, 0, 0, 7, 0], [7, 7, 0, 7, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 0, 7, 0, 7, 0, 7], [7, 7, 7, 7, 7, 0, 7, 7, 7, 0, 7, 7, 0, 0, 0, 7, 7, 0, 0, 0], [0, 0, 7, 0, 7, 7, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7, 7, 0, 7, 7], [0, 7, 0, 7, 7, 7, 7, 0, 7, 0, 7, 7, 7, 7, 0, 7, 7, 7, 0, 7], [7, 0, 7, 0, 7, 7, 7, 0, 0, 0, 0, 7, 7, 0, 7, 0, 0, 0, 7, 7], [0, 7, 7, 7, 0, 0, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 0, 7, 7, 0], [0, 7, 7, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 7, 0, 0, 7], [7, 0, 7, 0, 7, 7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7, 0, 0, 0, 0], [7, 0, 7, 7, 0, 0, 7, 7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 7, 0, 0], [0, 7, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7, 7, 7, 7, 7, 0], [0, 0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 7, 7, 7, 0, 0], [7, 0, 7, 7, 0, 0, 7, 7, 0, 0, 0, 0, 7, 7, 0, 7, 7, 7, 0, 7], [0, 7, 0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 7, 7, 0, 7, 0, 0], [7, 0, 0, 7, 0, 0, 7, 0, 7, 7, 7, 0, 7, 0, 0, 0, 7, 0, 7, 7], [0, 0, 7, 0, 7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7, 0, 0, 0, 0, 7], [0, 7, 7, 7, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 0, 0, 7]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[5, 0, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 5, 5, 5, 0, 0, 0, 0], [5, 5, 5, 5, 0, 5, 5, 0, 0, 5, 0, 5, 0, 5, 5, 0, 5, 0, 0, 5], [0, 0, 5, 0, 0, 0, 5, 5, 5, 5, 0, 0, 0, 5, 0, 5, 0, 0, 0, 5], [0, 5, 0, 5, 0, 0, 5, 5, 5, 5, 0, 0, 5, 0, 5, 0, 0, 5, 5, 0], [5, 5, 5, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 5, 0, 5, 5], [0, 5, 5, 5, 5, 5, 5, 5, 0, 0, 5, 0, 5, 5, 5, 0, 5, 0, 0, 5], [5, 0, 5, 5, 0, 0, 5, 0, 0, 0, 5, 5, 0, 5, 5, 5, 5, 0, 5, 5], [0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 5, 5, 0, 0], [0, 0, 5, 5, 5, 0, 5, 5, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 0, 5], [5, 5, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 5, 5, 0, 5, 5, 0, 0, 5], [0, 5, 0, 5, 5, 5, 0, 0, 5, 5, 5, 5, 5, 5, 0, 5, 5, 5, 0, 5], [0, 5, 0, 0, 5, 5, 5, 5, 0, 0, 5, 0, 5, 5, 5, 0, 5, 0, 5, 0], [5, 0, 5, 0, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0, 0, 5, 5, 0, 0, 5], [5, 5, 5, 5, 5, 5, 5, 0, 5, 0, 0, 0, 0, 0, 0, 5, 5, 5, 5, 5], [0, 0, 5, 0, 5, 5, 5, 0, 0, 0, 0, 5, 5, 0, 0, 5, 0, 0, 0, 5], [5, 5, 5, 0, 5, 5, 0, 0, 5, 0, 0, 0, 5, 5, 5, 5, 0, 0, 5, 5], [0, 0, 0, 0, 5, 5, 0, 5, 5, 5, 5, 0, 5, 5, 5, 0, 5, 5, 5, 5], [0, 0, 5, 0, 0, 5, 0, 5, 0, 0, 0, 5, 5, 0, 0, 5, 5, 5, 0, 5], [0, 5, 0, 0, 5, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 5, 5, 0], [0, 5, 0, 5, 5, 5, 5, 0, 5, 0, 0, 0, 0, 0, 0, 5, 5, 5, 5, 0], [0, 9, 0, 9, 0, 9, 9, 0, 9, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 9], [9, 9, 9, 0, 0, 9, 9, 9, 0, 9, 0, 9, 0, 9, 9, 9, 9, 0, 9, 0], [0, 9, 0, 0, 0, 9, 0, 0, 0, 9, 9, 0, 0, 9, 9, 0, 9, 9, 9, 0], [9, 0, 0, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0], [0, 0, 9, 9, 0, 9, 0, 0, 0, 0, 9, 9, 9, 0, 0, 0, 9, 9, 0, 9], [0, 9, 0, 0, 9, 9, 9, 9, 9, 0, 9, 9, 0, 9, 0, 9, 9, 9, 9, 9], [9, 0, 0, 9, 9, 9, 9, 9, 9, 0, 0, 9, 0, 9, 9, 9, 0, 0, 9, 0], [0, 0, 9, 0, 0, 9, 0, 0, 0, 0, 9, 9, 9, 0, 0, 0, 9, 9, 9, 0], [0, 9, 0, 9, 9, 9, 9, 0, 9, 9, 9, 0, 9, 0, 9, 0, 0, 9, 0, 0], [9, 9, 9, 0, 9, 0, 0, 9, 9, 9, 0, 0, 0, 0, 9, 9, 9, 9, 9, 0], [9, 0, 0, 9, 9, 0, 9, 9, 9, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 0], [9, 0, 0, 0, 9, 9, 9, 0, 0, 0, 9, 0, 9, 9, 9, 9, 9, 0, 9, 9], [0, 0, 9, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 9], [0, 9, 9, 0, 9, 9, 9, 0, 0, 9, 0, 0, 9, 0, 0, 9, 9, 0, 0, 0], [0, 9, 9, 0, 9, 0, 9, 9, 9, 0, 0, 0, 0, 9, 0, 0, 9, 9, 0, 0], [9, 0, 9, 9, 9, 0, 9, 0, 9, 9, 0, 9, 0, 0, 9, 0, 9, 9, 9, 9], [0, 9, 0, 9, 0, 0, 0, 9, 9, 9, 0, 9, 9, 0, 9, 9, 0, 0, 0, 9], [9, 0, 0, 0, 0, 9, 0, 0, 9, 9, 9, 9, 0, 9, 9, 0, 9, 0, 0, 9], [9, 0, 0, 9, 0, 9, 0, 9, 9, 9, 9, 9, 0, 9, 9, 0, 9, 9, 0, 0], [0, 9, 0, 0, 0, 9, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0, 9, 9, 0, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0], [7, 7, 7, 0, 0, 7, 7, 0, 0, 7, 0, 7, 0, 7, 7, 0, 7, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0], [0, 0, 0, 7, 0, 0, 7, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0], [0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 7], [0, 7, 0, 0, 7, 7, 7, 7, 0, 0, 7, 0, 0, 7, 0, 0, 7, 0, 0, 7], [7, 0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 7, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 0], [0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0], [7, 7, 0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0], [0, 0, 0, 7, 7, 0, 0, 0, 7, 7, 0, 0, 0, 7, 0, 7, 0, 7, 0, 0], [0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 7, 0, 7, 7, 7, 0, 7, 0, 7, 0], [0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 7], [0, 7, 7, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0], [0, 0, 7, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [7, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 7], [0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 7, 0, 7, 0, 0, 0, 0, 7], [0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 7], [0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 7, 0, 0], [0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0]]\nExample input-output arrays:\n[[5, 5, 0, 0, 5, 5, 0, 0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 5, 5, 0], [5, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5], [5, 0, 0, 5, 0, 0, 0, 5, 0, 5, 0, 5, 0, 5, 0, 5, 5, 5, 0, 5], [0, 0, 0, 5, 5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 0], [5, 5, 5, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 5, 5], [0, 0, 5, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 0, 5, 5, 5, 0, 0, 0], [5, 0, 0, 5, 5, 5, 0, 5, 0, 5, 5, 0, 0, 0, 5, 0, 0, 0, 5, 5], [0, 0, 5, 5, 5, 5, 0, 5, 0, 5, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0], [0, 5, 5, 5, 5, 0, 5, 5, 0, 0, 0, 0, 5, 0, 5, 0, 0, 0, 0, 0], [5, 0, 5, 0, 0, 5, 0, 5, 5, 5, 0, 0, 0, 0, 5, 5, 5, 0, 0, 5], [5, 5, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 5, 0, 5, 0, 0, 5, 0, 5], [0, 0, 5, 5, 5, 5, 0, 5, 5, 5, 0, 0, 5, 5, 0, 0, 0, 5, 5, 0], [0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 0, 5, 5], [0, 0, 5, 0, 5, 5, 0, 5, 0, 5, 0, 5, 5, 0, 5, 5, 0, 5, 5, 0], [5, 0, 5, 0, 0, 5, 0, 0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 5, 5, 5], [0, 5, 5, 0, 5, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 0, 5, 0, 0, 0], [5, 0, 0, 0, 0, 0, 5, 5, 0, 5, 0, 0, 5, 0, 5, 5, 5, 5, 5, 0], [0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0, 5, 0, 5, 5, 5, 0], [0, 5, 5, 5, 0, 5, 0, 0, 5, 5, 5, 5, 5, 0, 0, 5, 5, 5, 0, 5], [0, 0, 5, 5, 5, 0, 0, 0, 5, 0, 5, 5, 0, 0, 0, 5, 0, 0, 5, 0], [0, 9, 0, 9, 0, 9, 9, 9, 9, 0, 0, 9, 9, 0, 0, 0, 9, 0, 0, 9], [9, 9, 0, 9, 0, 0, 9, 9, 0, 0, 9, 9, 0, 0, 9, 9, 0, 9, 9, 0], [0, 9, 9, 9, 9, 0, 9, 0, 9, 0, 0, 9, 0, 0, 9, 9, 9, 0, 9, 9], [0, 9, 0, 0, 0, 9, 0, 0, 0, 9, 9, 0, 9, 0, 9, 9, 9, 9, 9, 9], [0, 9, 0, 0, 9, 0, 0, 0, 0, 9, 0, 9, 9, 9, 9, 9, 0, 0, 0, 9], [0, 9, 9, 9, 0, 0, 0, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 9, 9], [0, 0, 9, 0, 0, 0, 0, 9, 0, 0, 0, 9, 9, 9, 0, 0, 0, 9, 9, 0], [0, 9, 9, 9, 0, 0, 9, 0, 0, 9, 0, 9, 9, 9, 9, 9, 0, 0, 0, 0], [9, 0, 9, 0, 0, 0, 9, 9, 9, 0, 9, 9, 0, 0, 9, 9, 0, 0, 9, 9], [0, 9, 9, 9, 9, 0, 0, 0, 9, 0, 9, 0, 0, 0, 0, 0, 0, 9, 9, 9], [0, 9, 9, 0, 0, 9, 0, 9, 0, 9, 0, 0, 9, 9, 9, 0, 0, 0, 9, 0], [9, 9, 0, 0, 0, 9, 9, 0, 9, 0, 0, 9, 0, 9, 9, 9, 9, 9, 9, 9], [0, 9, 0, 9, 0, 0, 0, 9, 0, 0, 9, 0, 0, 9, 0, 0, 0, 9, 9, 9], [0, 0, 9, 9, 9, 0, 0, 0, 9, 9, 0, 0, 0, 9, 9, 9, 0, 9, 9, 0], [0, 0, 0, 0, 0, 9, 0, 9, 0, 0, 0, 9, 9, 0, 9, 0, 0, 9, 9, 0], [0, 0, 0, 0, 9, 0, 9, 9, 0, 0, 9, 9, 0, 0, 0, 9, 0, 9, 0, 0], [9, 0, 0, 0, 9, 0, 9, 9, 9, 0, 0, 9, 0, 9, 9, 9, 9, 0, 9, 0], [0, 0, 0, 9, 0, 0, 9, 0, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0, 0, 0], [0, 0, 9, 9, 0, 9, 0, 0, 0, 0, 0, 0, 0, 9, 9, 0, 9, 0, 0, 0], [0, 0, 0, 9, 0, 0, 0, 9, 9, 0, 9, 0, 0, 9, 0, 0, 0, 0, 0, 0], [0, 6, 0, 6, 6, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 6, 0], [6, 0, 6, 6, 6, 0, 6, 0, 0, 6, 0, 0, 0, 6, 6, 6, 0, 6, 6, 6], [0, 0, 6, 6, 0, 0, 6, 6, 6, 0, 0, 6, 0, 0, 6, 0, 6, 6, 6, 0], [0, 0, 6, 6, 6, 6, 0, 6, 6, 0, 0, 6, 0, 6, 6, 0, 0, 0, 6, 6], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 6, 6, 6, 0, 6, 6], [6, 6, 6, 0, 0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 0, 0, 6, 6, 6], [6, 6, 6, 6, 6, 0, 0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 6, 6, 0, 6], [6, 0, 0, 6, 0, 6, 0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 0, 0], [0, 0, 0, 0, 0, 6, 0, 0, 6, 0, 0, 0, 6, 0, 6, 6, 0, 0, 0, 0], [0, 0, 6, 0, 6, 0, 0, 6, 0, 6, 6, 6, 0, 0, 0, 6, 6, 6, 6, 0], [6, 0, 0, 6, 6, 0, 0, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 0, 6, 0], [6, 0, 6, 0, 0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 0, 0, 0, 6, 0, 0], [0, 6, 0, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0, 6, 0, 0, 0, 0, 6, 6], [6, 6, 0, 0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6], [6, 6, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 0, 6], [0, 6, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 6], [6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 0, 6], [6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6, 0, 6, 6, 6, 0, 6, 0], [0, 0, 6, 0, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 0, 6, 0, 6]] -> [[0, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7, 0], [0, 0, 7, 7, 7, 0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7], [0, 0, 7, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0, 7, 7, 7], [0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 7, 0, 7, 0, 0, 7, 0, 0, 7], [0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 7, 7, 7, 0, 7, 0], [7, 7, 0, 0, 0, 7, 0, 7, 7, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 0, 0, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7], [7, 0, 7, 0, 0, 7, 0, 7, 0, 0, 7, 7, 0, 0, 7, 0, 7, 7, 0, 0], [0, 0, 7, 0, 0, 7, 7, 7, 7, 0, 0, 0, 7, 0, 0, 7, 0, 0, 0, 0], [0, 0, 0, 0, 7, 0, 0, 7, 7, 7, 7, 7, 0, 0, 0, 7, 7, 7, 7, 7], [7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 7, 7, 0, 7, 0], [7, 0, 7, 0, 0, 7, 7, 7, 7, 0, 0, 7, 7, 7, 0, 0, 0, 0, 7, 0], [0, 0, 0, 7, 7, 7, 7, 7, 0, 7, 7, 7, 0, 7, 0, 0, 0, 0, 0, 0], [7, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 0, 0, 7], [7, 7, 0, 7, 7, 7, 7, 7, 0, 0, 7, 7, 0, 0, 0, 7, 7, 7, 7, 7], [0, 7, 0, 0, 7, 0, 7, 7, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7], [0, 7, 0, 0, 0, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7], [7, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 7, 7, 7, 7], [7, 7, 0, 0, 7, 0, 0, 7, 7, 0, 0, 0, 7, 0, 7, 7, 0, 0, 7, 0], [0, 0, 7, 7, 7, 7, 7, 7, 0, 0, 7, 0, 0, 0, 7, 0, 0, 7, 0, 7]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[5, 5, 0, 0, 5, 5, 0, 0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 5, 5, 0], [5, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5], [5, 0, 0, 5, 0, 0, 0, 5, 0, 5, 0, 5, 0, 5, 0, 5, 5, 5, 0, 5], [0, 0, 0, 5, 5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 0], [5, 5, 5, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 5, 5], [0, 0, 5, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 0, 5, 5, 5, 0, 0, 0], [5, 0, 0, 5, 5, 5, 0, 5, 0, 5, 5, 0, 0, 0, 5, 0, 0, 0, 5, 5], [0, 0, 5, 5, 5, 5, 0, 5, 0, 5, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0], [0, 5, 5, 5, 5, 0, 5, 5, 0, 0, 0, 0, 5, 0, 5, 0, 0, 0, 0, 0], [5, 0, 5, 0, 0, 5, 0, 5, 5, 5, 0, 0, 0, 0, 5, 5, 5, 0, 0, 5], [5, 5, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 5, 0, 5, 0, 0, 5, 0, 5], [0, 0, 5, 5, 5, 5, 0, 5, 5, 5, 0, 0, 5, 5, 0, 0, 0, 5, 5, 0], [0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 0, 5, 5], [0, 0, 5, 0, 5, 5, 0, 5, 0, 5, 0, 5, 5, 0, 5, 5, 0, 5, 5, 0], [5, 0, 5, 0, 0, 5, 0, 0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 5, 5, 5], [0, 5, 5, 0, 5, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 0, 5, 0, 0, 0], [5, 0, 0, 0, 0, 0, 5, 5, 0, 5, 0, 0, 5, 0, 5, 5, 5, 5, 5, 0], [0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0, 5, 0, 5, 5, 5, 0], [0, 5, 5, 5, 0, 5, 0, 0, 5, 5, 5, 5, 5, 0, 0, 5, 5, 5, 0, 5], [0, 0, 5, 5, 5, 0, 0, 0, 5, 0, 5, 5, 0, 0, 0, 5, 0, 0, 5, 0], [0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2], [2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0], [0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2], [0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2], [0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2], [0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2], [0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0], [0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0], [2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2], [0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2], [0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0], [2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2], [0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2], [0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0], [0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0], [0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0], [2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0], [0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0], [0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 6, 0, 6, 6, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 6, 0], [6, 0, 6, 6, 6, 0, 6, 0, 0, 6, 0, 0, 0, 6, 6, 6, 0, 6, 6, 6], [0, 0, 6, 6, 0, 0, 6, 6, 6, 0, 0, 6, 0, 0, 6, 0, 6, 6, 6, 0], [0, 0, 6, 6, 6, 6, 0, 6, 6, 0, 0, 6, 0, 6, 6, 0, 0, 0, 6, 6], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 6, 6, 6, 0, 6, 6], [6, 6, 6, 0, 0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 0, 0, 6, 6, 6], [6, 6, 6, 6, 6, 0, 0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 6, 6, 0, 6], [6, 0, 0, 6, 0, 6, 0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 0, 0], [0, 0, 0, 0, 0, 6, 0, 0, 6, 0, 0, 0, 6, 0, 6, 6, 0, 0, 0, 0], [0, 0, 6, 0, 6, 0, 0, 6, 0, 6, 6, 6, 0, 0, 0, 6, 6, 6, 6, 0], [6, 0, 0, 6, 6, 0, 0, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 0, 6, 0], [6, 0, 6, 0, 0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 0, 0, 0, 6, 0, 0], [0, 6, 0, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0, 6, 0, 0, 0, 0, 6, 6], [6, 6, 0, 0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6], [6, 6, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 0, 6], [0, 6, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 6], [6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 0, 6], [6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6, 0, 6, 6, 6, 0, 6, 0], [0, 0, 6, 0, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 0, 6, 0, 6]] -> ",
+                "test": {
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+                }
+            },
+            "Replicate 4": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[5, 0, 5, 5, 0, 0, 0, 5, 5, 5, 0, 5, 0, 5, 0, 5, 0, 0, 5, 0], [5, 0, 5, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0, 5, 0, 0, 5, 5], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 5, 0, 0, 0, 0, 5, 5, 5], [5, 0, 5, 0, 5, 5, 5, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 5, 0, 5], [5, 0, 0, 0, 5, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 5, 5, 5, 5], [5, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 5, 0, 0, 5, 0, 5, 5, 0, 0], [5, 5, 5, 0, 0, 5, 5, 0, 0, 5, 5, 0, 5, 5, 0, 5, 0, 5, 5, 0], [5, 5, 0, 5, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 5, 0, 5, 5, 5, 5], [0, 0, 0, 5, 0, 0, 5, 5, 5, 0, 5, 0, 0, 5, 5, 5, 0, 0, 5, 0], [5, 0, 0, 5, 5, 0, 5, 5, 5, 0, 0, 5, 0, 5, 0, 0, 5, 0, 0, 0], [5, 5, 0, 0, 0, 5, 5, 0, 5, 0, 0, 5, 5, 0, 0, 5, 0, 5, 5, 5], [0, 5, 0, 0, 0, 5, 0, 0, 5, 5, 0, 5, 0, 0, 5, 0, 0, 5, 5, 0], [5, 5, 0, 0, 5, 0, 0, 0, 5, 5, 5, 5, 0, 5, 5, 0, 0, 5, 5, 5], [5, 0, 0, 5, 0, 0, 0, 5, 5, 0, 5, 5, 5, 0, 0, 5, 0, 5, 5, 0], [0, 5, 5, 5, 0, 0, 5, 0, 5, 0, 0, 5, 5, 5, 5, 0, 5, 5, 5, 0], [5, 0, 0, 5, 5, 5, 0, 5, 0, 5, 5, 5, 0, 5, 0, 5, 0, 5, 5, 5], [5, 0, 5, 5, 0, 0, 0, 5, 0, 5, 0, 0, 0, 5, 5, 0, 5, 5, 5, 5], [5, 0, 0, 5, 5, 5, 5, 5, 5, 5, 0, 0, 0, 0, 0, 5, 5, 5, 0, 5], [0, 5, 0, 0, 5, 5, 5, 0, 5, 0, 5, 0, 0, 5, 0, 0, 5, 5, 5, 5], [0, 5, 5, 5, 0, 0, 0, 5, 0, 5, 5, 5, 0, 5, 5, 0, 5, 0, 0, 5], [0, 9, 0, 9, 9, 9, 9, 9, 0, 9, 9, 9, 0, 9, 0, 9, 9, 9, 0, 0], [0, 0, 0, 0, 0, 9, 9, 9, 9, 9, 9, 9, 0, 9, 9, 9, 9, 9, 9, 9], [0, 0, 0, 0, 9, 0, 0, 9, 9, 9, 9, 0, 0, 9, 0, 9, 0, 0, 9, 9], [0, 0, 9, 9, 9, 0, 9, 0, 0, 9, 9, 9, 0, 9, 0, 9, 0, 9, 0, 0], [9, 9, 0, 9, 9, 0, 9, 9, 9, 9, 0, 0, 9, 0, 9, 0, 9, 0, 0, 9], [0, 0, 0, 9, 0, 0, 9, 0, 9, 9, 0, 0, 9, 9, 9, 9, 0, 9, 9, 0], [0, 0, 0, 9, 0, 0, 0, 0, 9, 0, 0, 0, 0, 9, 0, 0, 9, 0, 9, 0], [0, 9, 0, 0, 0, 0, 9, 0, 0, 9, 0, 0, 0, 0, 9, 9, 9, 9, 9, 9], [0, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0, 0, 9, 9, 0, 0, 0, 9, 0, 0], [9, 0, 9, 0, 0, 9, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0, 0, 9, 0, 9], [9, 0, 9, 0, 9, 0, 0, 9, 9, 9, 9, 0, 9, 9, 9, 0, 9, 0, 9, 9], [9, 0, 9, 0, 9, 0, 0, 9, 9, 0, 0, 0, 0, 0, 9, 9, 0, 0, 0, 9], [9, 9, 9, 9, 9, 0, 9, 0, 0, 9, 9, 9, 9, 9, 9, 0, 9, 9, 9, 0], [0, 0, 0, 0, 0, 9, 9, 9, 0, 0, 9, 9, 0, 9, 9, 0, 9, 0, 0, 9], [0, 9, 0, 0, 9, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 0], [9, 9, 9, 0, 0, 0, 0, 0, 9, 0, 9, 0, 0, 0, 0, 0, 9, 9, 9, 0], [0, 0, 9, 0, 9, 9, 0, 9, 9, 0, 0, 9, 9, 9, 0, 9, 0, 0, 0, 9], [0, 9, 9, 0, 0, 0, 9, 0, 0, 9, 9, 9, 0, 9, 9, 0, 9, 0, 9, 9], [9, 9, 9, 9, 9, 0, 9, 9, 9, 0, 9, 0, 0, 0, 0, 0, 9, 9, 0, 9], [9, 9, 9, 0, 0, 0, 9, 9, 9, 0, 9, 0, 0, 0, 9, 9, 0, 0, 9, 0], [6, 0, 0, 6, 0, 0, 6, 6, 6, 6, 0, 0, 6, 0, 0, 0, 0, 0, 6, 6], [0, 6, 0, 0, 0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 0, 6, 0, 0, 6, 6], [6, 6, 6, 6, 6, 0, 0, 6, 6, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 0], [0, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6], [0, 6, 6, 0, 6, 6, 0, 6, 6, 0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 0], [6, 6, 0, 6, 0, 0, 6, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 0], [6, 0, 0, 0, 6, 6, 0, 6, 6, 0, 6, 0, 0, 6, 6, 0, 6, 6, 6, 6], [6, 6, 0, 6, 6, 6, 6, 6, 0, 0, 6, 0, 0, 6, 0, 6, 0, 0, 0, 6], [6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 0, 0], [0, 0, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 6, 0, 6, 0, 6, 6, 0, 6], [0, 6, 0, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 0, 0, 0, 0, 0, 6, 6], [0, 0, 0, 6, 0, 0, 6, 6, 0, 0, 0, 0, 0, 6, 6, 6, 0, 6, 0, 0], [6, 0, 6, 6, 6, 0, 6, 6, 0, 6, 0, 0, 6, 6, 6, 6, 6, 6, 0, 0], [6, 0, 0, 6, 6, 0, 6, 0, 6, 6, 0, 0, 0, 6, 0, 6, 6, 0, 6, 0], [6, 6, 0, 0, 6, 0, 6, 0, 6, 6, 0, 6, 0, 0, 0, 0, 0, 6, 0, 6], [6, 6, 6, 6, 0, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 0, 6, 0, 6], [0, 0, 6, 0, 6, 6, 6, 0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 0, 0, 0], [0, 0, 6, 0, 6, 0, 6, 6, 6, 0, 0, 6, 0, 6, 0, 6, 6, 0, 0, 0], [6, 6, 0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6, 0], [0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 6, 0]] -> [[7, 0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 7, 7, 7, 0, 7, 0, 0, 7, 7], [0, 7, 0, 0, 0, 7, 0, 0, 7, 7, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0], [7, 7, 7, 7, 0, 0, 0, 7, 7, 0, 0, 7, 7, 0, 7, 0, 7, 7, 0, 7], [0, 0, 0, 7, 0, 7, 7, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 7, 7], [7, 7, 7, 0, 0, 7, 7, 0, 0, 7, 7, 7, 7, 7, 0, 7, 7, 0, 0, 7], [7, 7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7, 0, 0, 7, 0, 0, 7, 7, 0], [7, 0, 0, 0, 7, 7, 0, 7, 7, 0, 7, 0, 0, 0, 7, 0, 7, 7, 0, 7], [7, 0, 0, 7, 7, 7, 7, 7, 0, 7, 7, 0, 0, 7, 7, 7, 7, 7, 7, 0], [7, 7, 0, 0, 0, 7, 7, 7, 0, 7, 7, 0, 0, 0, 7, 7, 7, 0, 0, 0], [7, 0, 7, 0, 0, 0, 0, 0, 7, 0, 0, 7, 7, 0, 7, 0, 7, 7, 0, 7], [7, 7, 0, 0, 7, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 7, 0, 0, 7, 7, 7, 0, 0, 0, 0, 7, 0, 7, 0, 7, 0, 0], [0, 7, 7, 7, 0, 0, 7, 7, 0, 0, 7, 7, 7, 0, 0, 7, 7, 0, 7, 0], [7, 0, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 0, 7, 7, 0, 7, 0], [7, 0, 0, 0, 7, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7], [0, 7, 7, 7, 0, 7, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 0, 0, 7, 7], [0, 0, 0, 0, 7, 7, 7, 7, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7], [0, 0, 7, 0, 7, 0, 0, 7, 7, 7, 0, 7, 0, 7, 0, 7, 0, 0, 0, 7], [7, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 7, 7, 7, 7], [0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7, 0]]\nExample input-output arrays:\n[[5, 0, 5, 5, 0, 0, 0, 5, 5, 5, 0, 5, 0, 5, 0, 5, 0, 0, 5, 0], [5, 0, 5, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0, 5, 0, 0, 5, 5], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 5, 0, 0, 0, 0, 5, 5, 5], [5, 0, 5, 0, 5, 5, 5, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 5, 0, 5], [5, 0, 0, 0, 5, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 5, 5, 5, 5], [5, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 5, 0, 0, 5, 0, 5, 5, 0, 0], [5, 5, 5, 0, 0, 5, 5, 0, 0, 5, 5, 0, 5, 5, 0, 5, 0, 5, 5, 0], [5, 5, 0, 5, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 5, 0, 5, 5, 5, 5], [0, 0, 0, 5, 0, 0, 5, 5, 5, 0, 5, 0, 0, 5, 5, 5, 0, 0, 5, 0], [5, 0, 0, 5, 5, 0, 5, 5, 5, 0, 0, 5, 0, 5, 0, 0, 5, 0, 0, 0], [5, 5, 0, 0, 0, 5, 5, 0, 5, 0, 0, 5, 5, 0, 0, 5, 0, 5, 5, 5], [0, 5, 0, 0, 0, 5, 0, 0, 5, 5, 0, 5, 0, 0, 5, 0, 0, 5, 5, 0], [5, 5, 0, 0, 5, 0, 0, 0, 5, 5, 5, 5, 0, 5, 5, 0, 0, 5, 5, 5], [5, 0, 0, 5, 0, 0, 0, 5, 5, 0, 5, 5, 5, 0, 0, 5, 0, 5, 5, 0], [0, 5, 5, 5, 0, 0, 5, 0, 5, 0, 0, 5, 5, 5, 5, 0, 5, 5, 5, 0], [5, 0, 0, 5, 5, 5, 0, 5, 0, 5, 5, 5, 0, 5, 0, 5, 0, 5, 5, 5], [5, 0, 5, 5, 0, 0, 0, 5, 0, 5, 0, 0, 0, 5, 5, 0, 5, 5, 5, 5], [5, 0, 0, 5, 5, 5, 5, 5, 5, 5, 0, 0, 0, 0, 0, 5, 5, 5, 0, 5], [0, 5, 0, 0, 5, 5, 5, 0, 5, 0, 5, 0, 0, 5, 0, 0, 5, 5, 5, 5], [0, 5, 5, 5, 0, 0, 0, 5, 0, 5, 5, 5, 0, 5, 5, 0, 5, 0, 0, 5], [0, 9, 0, 9, 9, 9, 9, 9, 0, 9, 9, 9, 0, 9, 0, 9, 9, 9, 0, 0], [0, 0, 0, 0, 0, 9, 9, 9, 9, 9, 9, 9, 0, 9, 9, 9, 9, 9, 9, 9], [0, 0, 0, 0, 9, 0, 0, 9, 9, 9, 9, 0, 0, 9, 0, 9, 0, 0, 9, 9], [0, 0, 9, 9, 9, 0, 9, 0, 0, 9, 9, 9, 0, 9, 0, 9, 0, 9, 0, 0], [9, 9, 0, 9, 9, 0, 9, 9, 9, 9, 0, 0, 9, 0, 9, 0, 9, 0, 0, 9], [0, 0, 0, 9, 0, 0, 9, 0, 9, 9, 0, 0, 9, 9, 9, 9, 0, 9, 9, 0], [0, 0, 0, 9, 0, 0, 0, 0, 9, 0, 0, 0, 0, 9, 0, 0, 9, 0, 9, 0], [0, 9, 0, 0, 0, 0, 9, 0, 0, 9, 0, 0, 0, 0, 9, 9, 9, 9, 9, 9], [0, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0, 0, 9, 9, 0, 0, 0, 9, 0, 0], [9, 0, 9, 0, 0, 9, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0, 0, 9, 0, 9], [9, 0, 9, 0, 9, 0, 0, 9, 9, 9, 9, 0, 9, 9, 9, 0, 9, 0, 9, 9], [9, 0, 9, 0, 9, 0, 0, 9, 9, 0, 0, 0, 0, 0, 9, 9, 0, 0, 0, 9], [9, 9, 9, 9, 9, 0, 9, 0, 0, 9, 9, 9, 9, 9, 9, 0, 9, 9, 9, 0], [0, 0, 0, 0, 0, 9, 9, 9, 0, 0, 9, 9, 0, 9, 9, 0, 9, 0, 0, 9], [0, 9, 0, 0, 9, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 0], [9, 9, 9, 0, 0, 0, 0, 0, 9, 0, 9, 0, 0, 0, 0, 0, 9, 9, 9, 0], [0, 0, 9, 0, 9, 9, 0, 9, 9, 0, 0, 9, 9, 9, 0, 9, 0, 0, 0, 9], [0, 9, 9, 0, 0, 0, 9, 0, 0, 9, 9, 9, 0, 9, 9, 0, 9, 0, 9, 9], [9, 9, 9, 9, 9, 0, 9, 9, 9, 0, 9, 0, 0, 0, 0, 0, 9, 9, 0, 9], [9, 9, 9, 0, 0, 0, 9, 9, 9, 0, 9, 0, 0, 0, 9, 9, 0, 0, 9, 0], [6, 0, 0, 6, 0, 0, 6, 6, 6, 6, 0, 0, 6, 0, 0, 0, 0, 0, 6, 6], [0, 6, 0, 0, 0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 0, 6, 0, 0, 6, 6], [6, 6, 6, 6, 6, 0, 0, 6, 6, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 0], [0, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6], [0, 6, 6, 0, 6, 6, 0, 6, 6, 0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 0], [6, 6, 0, 6, 0, 0, 6, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 0], [6, 0, 0, 0, 6, 6, 0, 6, 6, 0, 6, 0, 0, 6, 6, 0, 6, 6, 6, 6], [6, 6, 0, 6, 6, 6, 6, 6, 0, 0, 6, 0, 0, 6, 0, 6, 0, 0, 0, 6], [6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 0, 0], [0, 0, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 6, 0, 6, 0, 6, 6, 0, 6], [0, 6, 0, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 0, 0, 0, 0, 0, 6, 6], [0, 0, 0, 6, 0, 0, 6, 6, 0, 0, 0, 0, 0, 6, 6, 6, 0, 6, 0, 0], [6, 0, 6, 6, 6, 0, 6, 6, 0, 6, 0, 0, 6, 6, 6, 6, 6, 6, 0, 0], [6, 0, 0, 6, 6, 0, 6, 0, 6, 6, 0, 0, 0, 6, 0, 6, 6, 0, 6, 0], [6, 6, 0, 0, 6, 0, 6, 0, 6, 6, 0, 6, 0, 0, 0, 0, 0, 6, 0, 6], [6, 6, 6, 6, 0, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 0, 6, 0, 6], [0, 0, 6, 0, 6, 6, 6, 0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 0, 0, 0], [0, 0, 6, 0, 6, 0, 6, 6, 6, 0, 0, 6, 0, 6, 0, 6, 6, 0, 0, 0], [6, 6, 0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6, 0], [0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0, 6, 0, 0, 0, 6, 6, 6, 0]] -> [[7, 0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 7, 7, 7, 0, 7, 0, 0, 7, 7], [0, 7, 0, 0, 0, 7, 0, 0, 7, 7, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0], [7, 7, 7, 7, 0, 0, 0, 7, 7, 0, 0, 7, 7, 0, 7, 0, 7, 7, 0, 7], [0, 0, 0, 7, 0, 7, 7, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 7, 7], [7, 7, 7, 0, 0, 7, 7, 0, 0, 7, 7, 7, 7, 7, 0, 7, 7, 0, 0, 7], [7, 7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7, 0, 0, 7, 0, 0, 7, 7, 0], [7, 0, 0, 0, 7, 7, 0, 7, 7, 0, 7, 0, 0, 0, 7, 0, 7, 7, 0, 7], [7, 0, 0, 7, 7, 7, 7, 7, 0, 7, 7, 0, 0, 7, 7, 7, 7, 7, 7, 0], [7, 7, 0, 0, 0, 7, 7, 7, 0, 7, 7, 0, 0, 0, 7, 7, 7, 0, 0, 0], [7, 0, 7, 0, 0, 0, 0, 0, 7, 0, 0, 7, 7, 0, 7, 0, 7, 7, 0, 7], [7, 7, 0, 0, 7, 7, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 7, 0, 0, 7, 7, 7, 0, 0, 0, 0, 7, 0, 7, 0, 7, 0, 0], [0, 7, 7, 7, 0, 0, 7, 7, 0, 0, 7, 7, 7, 0, 0, 7, 7, 0, 7, 0], [7, 0, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 0, 7, 7, 0, 7, 0], [7, 0, 0, 0, 7, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7], [0, 7, 7, 7, 0, 7, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 0, 0, 7, 7], [0, 0, 0, 0, 7, 7, 7, 7, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7], [0, 0, 7, 0, 7, 0, 0, 7, 7, 7, 0, 7, 0, 7, 0, 7, 0, 0, 0, 7], [7, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 7, 7, 7, 7], [0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 5, 5, 0, 5, 0, 5, 5, 5, 0, 0, 5, 0, 0, 5, 5, 5], [5, 5, 5, 5, 0, 0, 5, 5, 5, 0, 5, 5, 0, 5, 0, 5, 0, 5, 5, 5], [5, 5, 5, 5, 0, 0, 5, 5, 0, 0, 0, 5, 0, 0, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 0, 0, 5, 5, 5, 0, 0, 5, 5, 0, 0, 0, 5, 5, 5, 5], [5, 0, 0, 5, 0, 5, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 0, 0, 5, 5], [5, 0, 5, 0, 0, 0, 5, 0, 5, 5, 5, 0, 0, 5, 5, 5, 5, 5, 5, 5], [5, 0, 5, 0, 5, 0, 5, 0, 0, 0, 5, 5, 0, 0, 5, 0, 0, 0, 5, 0], [0, 5, 5, 0, 0, 0, 5, 0, 0, 5, 5, 0, 0, 5, 0, 0, 0, 5, 5, 0], [0, 0, 5, 0, 5, 0, 5, 0, 5, 0, 5, 5, 5, 0, 5, 5, 0, 5, 5, 5], [0, 0, 0, 0, 5, 0, 5, 5, 0, 5, 0, 5, 5, 5, 0, 5, 0, 5, 5, 0], [0, 5, 5, 0, 5, 5, 0, 0, 0, 5, 0, 0, 0, 5, 5, 5, 5, 5, 5, 0], [0, 0, 0, 0, 5, 5, 0, 5, 5, 0, 0, 5, 0, 0, 5, 0, 5, 5, 5, 0], [0, 0, 5, 5, 0, 0, 5, 5, 0, 0, 0, 5, 0, 5, 0, 5, 5, 0, 5, 5], [5, 0, 0, 0, 5, 0, 5, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 5, 0, 5, 5, 5, 0, 0, 0, 5, 0, 5, 0, 0, 5, 5, 0, 0], [5, 0, 0, 0, 5, 0, 5, 5, 5, 0, 5, 0, 5, 5, 5, 0, 0, 5, 0, 0], [5, 0, 5, 5, 0, 0, 0, 0, 0, 5, 5, 0, 5, 0, 5, 5, 0, 0, 0, 0], [5, 5, 0, 0, 5, 5, 0, 0, 5, 0, 5, 5, 5, 5, 0, 0, 5, 5, 5, 5], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 5, 5, 5, 5], [5, 5, 5, 0, 0, 0, 5, 0, 5, 0, 0, 5, 5, 0, 0, 5, 0, 0, 5, 5], [9, 9, 9, 9, 0, 0, 0, 0, 0, 9, 9, 0, 0, 9, 0, 9, 0, 0, 9, 9], [9, 0, 0, 9, 9, 9, 0, 0, 0, 0, 9, 9, 9, 9, 9, 9, 0, 9, 0, 9], [9, 0, 9, 9, 0, 9, 0, 9, 9, 9, 0, 9, 0, 9, 9, 0, 0, 9, 9, 9], [9, 0, 0, 9, 9, 0, 0, 9, 0, 0, 9, 9, 9, 9, 9, 9, 9, 0, 9, 9], [9, 9, 0, 0, 9, 9, 0, 9, 0, 9, 0, 0, 9, 0, 9, 0, 9, 9, 9, 9], [9, 0, 0, 0, 9, 9, 0, 0, 9, 9, 9, 0, 9, 9, 9, 9, 9, 0, 0, 0], [0, 0, 0, 9, 0, 0, 9, 9, 9, 9, 9, 9, 0, 9, 9, 0, 0, 9, 0, 9], [0, 0, 0, 0, 9, 0, 9, 0, 9, 9, 0, 0, 9, 0, 0, 9, 9, 0, 9, 9], [9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 9, 0, 9, 9, 0, 0, 0, 0], [0, 9, 9, 9, 0, 9, 9, 9, 0, 9, 0, 9, 9, 0, 9, 9, 0, 9, 0, 9], [0, 0, 9, 0, 0, 0, 0, 0, 0, 9, 9, 0, 9, 0, 9, 0, 0, 0, 0, 0], [9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0], [0, 9, 0, 0, 0, 9, 9, 0, 9, 9, 0, 0, 0, 0, 9, 9, 9, 0, 0, 0], [9, 0, 9, 0, 9, 9, 9, 0, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 0], [0, 0, 9, 9, 9, 0, 9, 9, 9, 0, 9, 0, 9, 9, 0, 9, 0, 9, 0, 0], [0, 9, 9, 0, 0, 9, 9, 0, 0, 0, 0, 0, 9, 0, 0, 9, 0, 0, 9, 0], [0, 0, 0, 0, 9, 9, 0, 0, 0, 9, 9, 0, 0, 0, 9, 0, 9, 0, 0, 0], [9, 9, 0, 9, 0, 9, 0, 0, 0, 9, 0, 0, 0, 0, 9, 0, 9, 0, 9, 0], [9, 9, 0, 0, 0, 0, 0, 0, 9, 9, 9, 9, 9, 0, 9, 9, 9, 9, 9, 0], [9, 0, 9, 0, 0, 9, 9, 0, 0, 0, 9, 9, 0, 9, 0, 9, 9, 0, 9, 9], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]] -> ",
+                "test": {
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+                }
+            }
+        }
+    },
+    "SCMtcbq!or!and!10x10": {
+        "L1": {
+            "Replicate 0": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 0, 2, 0, 2, 2, 0, 2, 0], [2, 2, 0, 2, 0, 0, 0, 2, 0, 2], [2, 0, 2, 2, 2, 0, 2, 0, 0, 2], [2, 2, 2, 2, 0, 0, 2, 0, 2, 2], [2, 2, 0, 0, 2, 0, 0, 0, 2, 2], [2, 0, 2, 2, 0, 2, 0, 2, 0, 0], [2, 2, 0, 2, 2, 0, 2, 2, 0, 2], [2, 2, 2, 0, 0, 2, 2, 2, 0, 0], [2, 0, 2, 2, 0, 2, 2, 0, 2, 2], [2, 0, 2, 0, 0, 0, 0, 0, 0, 2], [1, 0, 0, 1, 1, 0, 0, 0, 0, 0], [1, 1, 0, 0, 1, 1, 0, 0, 0, 1], [1, 0, 1, 0, 0, 0, 0, 0, 1, 1], [1, 1, 0, 1, 1, 0, 1, 0, 1, 0], [0, 1, 1, 1, 1, 1, 0, 1, 0, 1], [1, 0, 0, 1, 0, 0, 1, 0, 0, 0], [0, 1, 1, 0, 1, 1, 1, 1, 0, 1], [1, 0, 1, 0, 1, 0, 0, 1, 0, 0], [1, 0, 1, 1, 1, 0, 1, 0, 1, 0], [1, 1, 0, 1, 0, 0, 0, 0, 0, 0], [0, 4, 0, 0, 0, 0, 4, 4, 4, 4], [4, 0, 4, 0, 4, 0, 4, 0, 0, 0], [0, 0, 4, 4, 4, 0, 4, 0, 0, 4], [4, 4, 4, 4, 0, 0, 4, 4, 4, 0], [4, 4, 4, 0, 4, 0, 4, 4, 0, 4], [0, 0, 4, 0, 0, 4, 4, 0, 4, 0], [4, 4, 4, 4, 4, 0, 0, 4, 0, 4], [0, 4, 0, 4, 4, 4, 4, 0, 0, 4], [4, 4, 0, 0, 4, 4, 0, 0, 0, 0], [0, 0, 0, 0, 4, 0, 0, 4, 4, 0]] -> [[0, 0, 0, 0, 0, 0, 6, 0, 6, 0], [6, 0, 0, 0, 6, 0, 0, 0, 0, 0], [0, 0, 6, 6, 6, 0, 6, 0, 0, 6], [6, 6, 6, 6, 0, 0, 6, 0, 6, 0], [6, 6, 6, 0, 6, 0, 0, 6, 0, 6], [0, 0, 6, 0, 0, 6, 6, 0, 0, 0], [6, 6, 6, 6, 6, 0, 0, 6, 0, 6], [0, 6, 0, 0, 6, 6, 6, 0, 0, 0], [6, 0, 0, 0, 6, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 2, 0, 2, 2, 0, 2, 0], [2, 2, 0, 2, 0, 0, 0, 2, 0, 2], [2, 0, 2, 2, 2, 0, 2, 0, 0, 2], [2, 2, 2, 2, 0, 0, 2, 0, 2, 2], [2, 2, 0, 0, 2, 0, 0, 0, 2, 2], [2, 0, 2, 2, 0, 2, 0, 2, 0, 0], [2, 2, 0, 2, 2, 0, 2, 2, 0, 2], [2, 2, 2, 0, 0, 2, 2, 2, 0, 0], [2, 0, 2, 2, 0, 2, 2, 0, 2, 2], [2, 0, 2, 0, 0, 0, 0, 0, 0, 2], [1, 0, 0, 1, 1, 0, 0, 0, 0, 0], [1, 1, 0, 0, 1, 1, 0, 0, 0, 1], [1, 0, 1, 0, 0, 0, 0, 0, 1, 1], [1, 1, 0, 1, 1, 0, 1, 0, 1, 0], [0, 1, 1, 1, 1, 1, 0, 1, 0, 1], [1, 0, 0, 1, 0, 0, 1, 0, 0, 0], [0, 1, 1, 0, 1, 1, 1, 1, 0, 1], [1, 0, 1, 0, 1, 0, 0, 1, 0, 0], [1, 0, 1, 1, 1, 0, 1, 0, 1, 0], [1, 1, 0, 1, 0, 0, 0, 0, 0, 0], [0, 4, 0, 0, 0, 0, 4, 4, 4, 4], [4, 0, 4, 0, 4, 0, 4, 0, 0, 0], [0, 0, 4, 4, 4, 0, 4, 0, 0, 4], [4, 4, 4, 4, 0, 0, 4, 4, 4, 0], [4, 4, 4, 0, 4, 0, 4, 4, 0, 4], [0, 0, 4, 0, 0, 4, 4, 0, 4, 0], [4, 4, 4, 4, 4, 0, 0, 4, 0, 4], [0, 4, 0, 4, 4, 4, 4, 0, 0, 4], [4, 4, 0, 0, 4, 4, 0, 0, 0, 0], [0, 0, 0, 0, 4, 0, 0, 4, 4, 0]] -> [[0, 0, 0, 0, 0, 0, 6, 0, 6, 0], [6, 0, 0, 0, 6, 0, 0, 0, 0, 0], [0, 0, 6, 6, 6, 0, 6, 0, 0, 6], [6, 6, 6, 6, 0, 0, 6, 0, 6, 0], [6, 6, 6, 0, 6, 0, 0, 6, 0, 6], [0, 0, 6, 0, 0, 6, 6, 0, 0, 0], [6, 6, 6, 6, 6, 0, 0, 6, 0, 6], [0, 6, 0, 0, 6, 6, 6, 0, 0, 0], [6, 0, 0, 0, 6, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[2, 2, 0, 0, 0, 0, 2, 0, 2, 0], [2, 0, 2, 2, 2, 2, 0, 0, 2, 0], [2, 2, 0, 0, 2, 2, 0, 0, 2, 0], [0, 2, 0, 2, 2, 0, 0, 0, 0, 0], [2, 0, 0, 0, 2, 0, 0, 2, 2, 0], [2, 2, 2, 0, 2, 2, 2, 2, 2, 0], [2, 2, 0, 2, 2, 0, 2, 2, 0, 2], [0, 0, 2, 2, 0, 2, 2, 0, 0, 2], [0, 2, 2, 0, 2, 0, 0, 2, 2, 2], [0, 2, 0, 2, 2, 2, 2, 2, 2, 0], [1, 0, 0, 0, 1, 1, 1, 0, 1, 1], [1, 0, 1, 1, 0, 1, 1, 0, 1, 0], [0, 0, 1, 0, 1, 1, 0, 1, 1, 0], [0, 0, 0, 1, 1, 1, 1, 1, 0, 0], [0, 0, 1, 1, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 1, 1, 0, 0, 0, 1], [1, 0, 0, 0, 0, 0, 1, 0, 0, 0], [1, 1, 0, 1, 1, 0, 0, 1, 0, 1], [1, 0, 0, 1, 0, 1, 0, 0, 0, 1], [1, 0, 1, 0, 1, 0, 0, 0, 0, 1], [4, 4, 4, 0, 0, 0, 4, 4, 4, 4], [4, 4, 0, 4, 4, 0, 4, 4, 0, 0], [0, 4, 4, 0, 4, 0, 0, 4, 0, 0], [0, 4, 4, 0, 0, 4, 0, 0, 4, 0], [4, 0, 0, 4, 4, 4, 4, 4, 4, 4], [0, 0, 4, 0, 0, 0, 4, 4, 4, 4], [0, 4, 0, 0, 4, 0, 0, 0, 0, 4], [4, 0, 0, 4, 0, 0, 4, 4, 4, 4], [0, 0, 4, 4, 0, 0, 4, 4, 0, 0], [0, 0, 4, 0, 4, 4, 0, 4, 0, 4]] -> [[6, 6, 0, 0, 0, 0, 6, 0, 6, 6], [6, 0, 0, 6, 6, 0, 6, 0, 0, 0], [0, 6, 6, 0, 6, 0, 0, 6, 0, 0], [0, 6, 0, 0, 0, 6, 0, 0, 0, 0], [6, 0, 0, 6, 6, 0, 0, 6, 6, 0], [0, 0, 6, 0, 0, 0, 6, 6, 6, 6], [0, 6, 0, 0, 6, 0, 0, 0, 0, 6], [6, 0, 0, 6, 0, 0, 6, 6, 0, 6], [0, 0, 6, 6, 0, 0, 0, 6, 0, 0], [0, 0, 6, 0, 6, 6, 0, 6, 0, 6]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 1, 0, 1, 0, 1, 1, 1, 1], [1, 1, 0, 0, 1, 0, 1, 0, 1, 0], [1, 0, 1, 0, 0, 1, 1, 1, 0, 1], [1, 0, 0, 1, 1, 1, 0, 0, 1, 1], [0, 1, 0, 1, 1, 0, 1, 1, 0, 1], [1, 1, 0, 0, 0, 0, 1, 0, 1, 0], [1, 0, 1, 1, 0, 0, 1, 1, 1, 1], [1, 1, 0, 1, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, 1, 0, 1, 1], [0, 0, 0, 0, 1, 1, 1, 1, 1, 1], [4, 4, 0, 0, 4, 0, 4, 0, 0, 4], [4, 4, 4, 0, 0, 0, 0, 4, 0, 0], [4, 0, 4, 4, 4, 4, 4, 0, 4, 0], [0, 4, 0, 4, 4, 4, 0, 0, 4, 0], [4, 0, 4, 0, 4, 4, 0, 4, 4, 0], [0, 0, 0, 0, 4, 4, 0, 4, 4, 0], [4, 4, 4, 4, 4, 0, 0, 0, 4, 4], [0, 0, 4, 0, 0, 0, 4, 0, 0, 0], [4, 4, 4, 4, 4, 4, 0, 0, 4, 0], [4, 4, 4, 4, 0, 0, 0, 4, 4, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            1,
+                            1,
+                            0,
+                            1,
+                            0,
+                            1,
+                            1,
+                            1,
+                            1
+                        ],
+                        [
+                            1,
+                            1,
+                            0,
+                            0,
+                            1,
+                            0,
+                            1,
+                            0,
+                            1,
+                            0
+                        ],
+                        [
+                            1,
+                            0,
+                            1,
+                            0,
+                            0,
+                            1,
+                            1,
+                            1,
+                            0,
+                            1
+                        ],
+                        [
+                            1,
+                            0,
+                            0,
+                            1,
+                            1,
+                            1,
+                            0,
+                            0,
+                            1,
+                            1
+                        ],
+                        [
+                            0,
+                            1,
+                            0,
+                            1,
+                            1,
+                            0,
+                            1,
+                            1,
+                            0,
+                            1
+                        ],
+                        [
+                            1,
+                            1,
+                            0,
+                            0,
+                            0,
+                            0,
+                            1,
+                            0,
+                            1,
+                            0
+                        ],
+                        [
+                            1,
+                            0,
+                            1,
+                            1,
+                            0,
+                            0,
+                            1,
+                            1,
+                            1,
+                            1
+                        ],
+                        [
+                            1,
+                            1,
+                            0,
+                            1,
+                            1,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            1,
+                            1,
+                            0,
+                            1,
+                            1
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1
+                        ],
+                        [
+                            4,
+                            4,
+                            0,
+                            0,
+                            4,
+                            0,
+                            4,
+                            0,
+                            0,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0,
+                            4,
+                            0,
+                            0
+                        ],
+                        [
+                            4,
+                            0,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            0,
+                            4,
+                            0
+                        ],
+                        [
+                            0,
+                            4,
+                            0,
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            4,
+                            0
+                        ],
+                        [
+                            4,
+                            0,
+                            4,
+                            0,
+                            4,
+                            4,
+                            0,
+                            4,
+                            4,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            4,
+                            4,
+                            0,
+                            4,
+                            4,
+                            0
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            4,
+                            4
+                        ],
+                        [
+                            0,
+                            0,
+                            4,
+                            0,
+                            0,
+                            0,
+                            4,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            4,
+                            0
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            4,
+                            4,
+                            0
+                        ]
+                    ],
+                    "output": [
+                        [
+                            0,
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            6,
+                            0,
+                            6,
+                            0,
+                            0,
+                            6,
+                            6,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0
+                        ],
+                        [
+                            6,
+                            0,
+                            6,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            6
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            6,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            6,
+                            0
+                        ]
+                    ]
+                }
+            },
+            "Replicate 1": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[2, 2, 0, 0, 0, 0, 2, 0, 2, 0], [2, 0, 2, 2, 2, 2, 0, 0, 2, 0], [2, 2, 0, 0, 2, 2, 0, 0, 2, 0], [0, 2, 0, 2, 2, 0, 0, 0, 0, 0], [2, 0, 0, 0, 2, 0, 0, 2, 2, 0], [2, 2, 2, 0, 2, 2, 2, 2, 2, 0], [2, 2, 0, 2, 2, 0, 2, 2, 0, 2], [0, 0, 2, 2, 0, 2, 2, 0, 0, 2], [0, 2, 2, 0, 2, 0, 0, 2, 2, 2], [0, 2, 0, 2, 2, 2, 2, 2, 2, 0], [1, 0, 0, 0, 1, 1, 1, 0, 1, 1], [1, 0, 1, 1, 0, 1, 1, 0, 1, 0], [0, 0, 1, 0, 1, 1, 0, 1, 1, 0], [0, 0, 0, 1, 1, 1, 1, 1, 0, 0], [0, 0, 1, 1, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 1, 1, 0, 0, 0, 1], [1, 0, 0, 0, 0, 0, 1, 0, 0, 0], [1, 1, 0, 1, 1, 0, 0, 1, 0, 1], [1, 0, 0, 1, 0, 1, 0, 0, 0, 1], [1, 0, 1, 0, 1, 0, 0, 0, 0, 1], [4, 4, 4, 0, 0, 0, 4, 4, 4, 4], [4, 4, 0, 4, 4, 0, 4, 4, 0, 0], [0, 4, 4, 0, 4, 0, 0, 4, 0, 0], [0, 4, 4, 0, 0, 4, 0, 0, 4, 0], [4, 0, 0, 4, 4, 4, 4, 4, 4, 4], [0, 0, 4, 0, 0, 0, 4, 4, 4, 4], [0, 4, 0, 0, 4, 0, 0, 0, 0, 4], [4, 0, 0, 4, 0, 0, 4, 4, 4, 4], [0, 0, 4, 4, 0, 0, 4, 4, 0, 0], [0, 0, 4, 0, 4, 4, 0, 4, 0, 4]] -> [[6, 6, 0, 0, 0, 0, 6, 0, 6, 6], [6, 0, 0, 6, 6, 0, 6, 0, 0, 0], [0, 6, 6, 0, 6, 0, 0, 6, 0, 0], [0, 6, 0, 0, 0, 6, 0, 0, 0, 0], [6, 0, 0, 6, 6, 0, 0, 6, 6, 0], [0, 0, 6, 0, 0, 0, 6, 6, 6, 6], [0, 6, 0, 0, 6, 0, 0, 0, 0, 6], [6, 0, 0, 6, 0, 0, 6, 6, 0, 6], [0, 0, 6, 6, 0, 0, 0, 6, 0, 0], [0, 0, 6, 0, 6, 6, 0, 6, 0, 6]]\nExample input-output arrays:\n[[2, 2, 2, 2, 0, 2, 0, 2, 0, 2], [0, 2, 2, 2, 2, 2, 0, 0, 0, 0], [0, 2, 0, 2, 0, 0, 2, 0, 0, 2], [2, 2, 0, 0, 0, 0, 2, 2, 0, 0], [0, 2, 0, 0, 2, 0, 2, 2, 0, 0], [0, 2, 0, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 0, 0, 2, 2, 2, 2, 0], [0, 2, 2, 2, 0, 2, 0, 2, 2, 0], [0, 2, 0, 0, 0, 2, 2, 0, 0, 2], [2, 0, 2, 2, 0, 0, 0, 2, 2, 2], [1, 1, 1, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 1, 1, 1, 0, 1, 1, 1], [1, 1, 1, 0, 0, 0, 1, 1, 1, 0], [0, 1, 0, 0, 1, 0, 0, 0, 0, 1], [1, 1, 0, 0, 0, 0, 1, 1, 0, 0], [1, 0, 0, 1, 1, 1, 1, 0, 1, 1], [0, 1, 0, 0, 1, 1, 0, 1, 1, 0], [0, 0, 1, 1, 1, 0, 1, 1, 0, 1], [0, 0, 1, 1, 1, 1, 0, 1, 1, 1], [1, 1, 0, 0, 1, 0, 1, 1, 0, 0], [4, 4, 0, 4, 0, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 0, 0, 4, 4], [0, 4, 4, 0, 4, 0, 4, 0, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 4, 0, 0, 4, 4, 0, 0], [4, 4, 4, 0, 4, 4, 4, 0, 0, 4], [0, 4, 4, 4, 4, 0, 4, 4, 4, 4], [0, 4, 4, 4, 4, 0, 0, 4, 0, 4], [0, 4, 0, 4, 4, 4, 4, 4, 4, 0], [0, 4, 0, 4, 0, 0, 4, 0, 4, 4]] -> [[6, 6, 0, 6, 0, 6, 0, 6, 0, 6], [6, 6, 6, 6, 6, 6, 0, 0, 6, 6], [0, 6, 6, 0, 0, 0, 6, 0, 6, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 6, 0, 0], [6, 6, 0, 0, 6, 6, 6, 0, 0, 6], [0, 6, 6, 0, 6, 0, 6, 6, 6, 0], [0, 6, 6, 6, 6, 0, 0, 6, 0, 6], [0, 6, 0, 6, 6, 6, 6, 6, 6, 0], [0, 6, 0, 6, 0, 0, 6, 0, 6, 6]]\nExample input-output arrays:\n[[2, 0, 0, 0, 0, 0, 2, 2, 0, 2], [0, 0, 0, 2, 2, 0, 2, 2, 0, 2], [0, 2, 2, 2, 0, 0, 0, 2, 2, 0], [0, 2, 0, 2, 2, 0, 0, 0, 0, 0], [2, 0, 0, 2, 0, 0, 0, 0, 2, 2], [2, 2, 0, 2, 0, 0, 0, 2, 0, 0], [0, 2, 2, 0, 2, 2, 0, 2, 2, 0], [0, 0, 2, 2, 2, 2, 0, 0, 0, 2], [2, 2, 0, 2, 2, 0, 2, 0, 0, 2], [0, 2, 2, 2, 2, 0, 2, 2, 2, 0], [1, 0, 0, 1, 1, 0, 0, 1, 0, 1], [1, 0, 0, 1, 1, 0, 1, 1, 1, 1], [0, 1, 0, 1, 0, 0, 1, 0, 1, 1], [0, 0, 1, 1, 0, 0, 1, 0, 1, 1], [0, 1, 1, 0, 1, 0, 1, 1, 0, 0], [1, 1, 1, 0, 1, 1, 1, 0, 0, 1], [1, 0, 0, 0, 0, 1, 0, 0, 1, 1], [0, 0, 1, 0, 0, 1, 0, 0, 1, 1], [1, 1, 0, 0, 1, 0, 1, 1, 1, 0], [0, 0, 1, 1, 1, 0, 0, 0, 0, 1], [0, 4, 4, 4, 0, 4, 4, 4, 0, 0], [4, 0, 0, 0, 0, 4, 4, 4, 0, 4], [4, 4, 4, 0, 0, 4, 4, 4, 0, 0], [4, 4, 4, 0, 4, 4, 4, 4, 4, 0], [4, 4, 4, 4, 4, 4, 0, 0, 4, 0], [4, 4, 4, 4, 0, 0, 4, 4, 4, 4], [4, 4, 4, 4, 4, 0, 4, 4, 0, 0], [0, 0, 4, 4, 0, 0, 4, 4, 4, 4], [0, 0, 0, 0, 0, 4, 0, 4, 4, 0], [0, 4, 0, 0, 4, 4, 4, 4, 4, 4]] -> [[0, 0, 0, 6, 0, 0, 6, 6, 0, 0], [6, 0, 0, 0, 0, 0, 6, 6, 0, 6], [0, 6, 6, 0, 0, 0, 6, 6, 0, 0], [0, 6, 6, 0, 6, 0, 6, 0, 6, 0], [6, 6, 6, 6, 6, 0, 0, 0, 6, 0], [6, 6, 6, 6, 0, 0, 6, 6, 0, 6], [6, 6, 6, 0, 6, 0, 0, 6, 0, 0], [0, 0, 6, 6, 0, 0, 0, 0, 6, 6], [0, 0, 0, 0, 0, 0, 0, 6, 6, 0], [0, 6, 0, 0, 6, 0, 6, 6, 6, 6]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 1, 1, 0, 0, 0, 0, 1], [1, 0, 0, 0, 1, 0, 0, 1, 1, 1], [1, 1, 1, 1, 0, 1, 0, 1, 0, 0], [1, 0, 1, 0, 1, 1, 1, 0, 0, 1], [0, 1, 1, 1, 1, 0, 1, 0, 0, 0], [0, 1, 1, 0, 1, 1, 0, 1, 1, 1], [1, 1, 0, 0, 1, 0, 0, 1, 1, 1], [0, 1, 0, 0, 1, 0, 1, 1, 1, 1], [1, 1, 1, 0, 0, 1, 0, 1, 1, 0], [1, 0, 1, 0, 1, 1, 0, 0, 0, 1], [4, 0, 4, 4, 0, 0, 0, 0, 0, 4], [4, 4, 4, 0, 0, 0, 0, 0, 0, 0], [0, 0, 4, 4, 4, 0, 4, 4, 4, 4], [0, 0, 4, 0, 0, 4, 0, 0, 4, 0], [0, 0, 4, 0, 0, 0, 0, 0, 0, 0], [0, 4, 0, 0, 0, 0, 0, 0, 0, 0], [0, 4, 0, 0, 4, 0, 0, 4, 4, 4], [4, 4, 4, 4, 4, 4, 0, 0, 0, 0], [4, 0, 4, 4, 0, 4, 0, 4, 4, 0], [0, 0, 0, 4, 0, 4, 0, 4, 4, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            1,
+                            0,
+                            1,
+                            1,
+                            0,
+                            0,
+                            0,
+                            0,
+                            1
+                        ],
+                        [
+                            1,
+                            0,
+                            0,
+                            0,
+                            1,
+                            0,
+                            0,
+                            1,
+                            1,
+                            1
+                        ],
+                        [
+                            1,
+                            1,
+                            1,
+                            1,
+                            0,
+                            1,
+                            0,
+                            1,
+                            0,
+                            0
+                        ],
+                        [
+                            1,
+                            0,
+                            1,
+                            0,
+                            1,
+                            1,
+                            1,
+                            0,
+                            0,
+                            1
+                        ],
+                        [
+                            0,
+                            1,
+                            1,
+                            1,
+                            1,
+                            0,
+                            1,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            1,
+                            1,
+                            0,
+                            1,
+                            1,
+                            0,
+                            1,
+                            1,
+                            1
+                        ],
+                        [
+                            1,
+                            1,
+                            0,
+                            0,
+                            1,
+                            0,
+                            0,
+                            1,
+                            1,
+                            1
+                        ],
+                        [
+                            0,
+                            1,
+                            0,
+                            0,
+                            1,
+                            0,
+                            1,
+                            1,
+                            1,
+                            1
+                        ],
+                        [
+                            1,
+                            1,
+                            1,
+                            0,
+                            0,
+                            1,
+                            0,
+                            1,
+                            1,
+                            0
+                        ],
+                        [
+                            1,
+                            0,
+                            1,
+                            0,
+                            1,
+                            1,
+                            0,
+                            0,
+                            0,
+                            1
+                        ],
+                        [
+                            4,
+                            0,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            4,
+                            4,
+                            4,
+                            0,
+                            4,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            0,
+                            0,
+                            4,
+                            0,
+                            0,
+                            4,
+                            0,
+                            0,
+                            4,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            4,
+                            0,
+                            0,
+                            4,
+                            0,
+                            0,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            4,
+                            0,
+                            4,
+                            4,
+                            0,
+                            4,
+                            0,
+                            4,
+                            4,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            4,
+                            0,
+                            4,
+                            0,
+                            4,
+                            4,
+                            0
+                        ]
+                    ],
+                    "output": [
+                        [
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6
+                        ],
+                        [
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            6,
+                            6,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            6,
+                            0,
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0
+                        ]
+                    ]
+                }
+            },
+            "Replicate 2": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[2, 2, 2, 2, 0, 2, 0, 2, 0, 2], [0, 2, 2, 2, 2, 2, 0, 0, 0, 0], [0, 2, 0, 2, 0, 0, 2, 0, 0, 2], [2, 2, 0, 0, 0, 0, 2, 2, 0, 0], [0, 2, 0, 0, 2, 0, 2, 2, 0, 0], [0, 2, 0, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 0, 0, 2, 2, 2, 2, 0], [0, 2, 2, 2, 0, 2, 0, 2, 2, 0], [0, 2, 0, 0, 0, 2, 2, 0, 0, 2], [2, 0, 2, 2, 0, 0, 0, 2, 2, 2], [1, 1, 1, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 1, 1, 1, 0, 1, 1, 1], [1, 1, 1, 0, 0, 0, 1, 1, 1, 0], [0, 1, 0, 0, 1, 0, 0, 0, 0, 1], [1, 1, 0, 0, 0, 0, 1, 1, 0, 0], [1, 0, 0, 1, 1, 1, 1, 0, 1, 1], [0, 1, 0, 0, 1, 1, 0, 1, 1, 0], [0, 0, 1, 1, 1, 0, 1, 1, 0, 1], [0, 0, 1, 1, 1, 1, 0, 1, 1, 1], [1, 1, 0, 0, 1, 0, 1, 1, 0, 0], [4, 4, 0, 4, 0, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 0, 0, 4, 4], [0, 4, 4, 0, 4, 0, 4, 0, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 4, 0, 0, 4, 4, 0, 0], [4, 4, 4, 0, 4, 4, 4, 0, 0, 4], [0, 4, 4, 4, 4, 0, 4, 4, 4, 4], [0, 4, 4, 4, 4, 0, 0, 4, 0, 4], [0, 4, 0, 4, 4, 4, 4, 4, 4, 0], [0, 4, 0, 4, 0, 0, 4, 0, 4, 4]] -> [[6, 6, 0, 6, 0, 6, 0, 6, 0, 6], [6, 6, 6, 6, 6, 6, 0, 0, 6, 6], [0, 6, 6, 0, 0, 0, 6, 0, 6, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 6, 0, 0], [6, 6, 0, 0, 6, 6, 6, 0, 0, 6], [0, 6, 6, 0, 6, 0, 6, 6, 6, 0], [0, 6, 6, 6, 6, 0, 0, 6, 0, 6], [0, 6, 0, 6, 6, 6, 6, 6, 6, 0], [0, 6, 0, 6, 0, 0, 6, 0, 6, 6]]\nExample input-output arrays:\n[[2, 2, 2, 2, 0, 2, 0, 2, 0, 2], [0, 2, 2, 2, 2, 2, 0, 0, 0, 0], [0, 2, 0, 2, 0, 0, 2, 0, 0, 2], [2, 2, 0, 0, 0, 0, 2, 2, 0, 0], [0, 2, 0, 0, 2, 0, 2, 2, 0, 0], [0, 2, 0, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 0, 0, 2, 2, 2, 2, 0], [0, 2, 2, 2, 0, 2, 0, 2, 2, 0], [0, 2, 0, 0, 0, 2, 2, 0, 0, 2], [2, 0, 2, 2, 0, 0, 0, 2, 2, 2], [1, 1, 1, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 1, 1, 1, 0, 1, 1, 1], [1, 1, 1, 0, 0, 0, 1, 1, 1, 0], [0, 1, 0, 0, 1, 0, 0, 0, 0, 1], [1, 1, 0, 0, 0, 0, 1, 1, 0, 0], [1, 0, 0, 1, 1, 1, 1, 0, 1, 1], [0, 1, 0, 0, 1, 1, 0, 1, 1, 0], [0, 0, 1, 1, 1, 0, 1, 1, 0, 1], [0, 0, 1, 1, 1, 1, 0, 1, 1, 1], [1, 1, 0, 0, 1, 0, 1, 1, 0, 0], [4, 4, 0, 4, 0, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 0, 0, 4, 4], [0, 4, 4, 0, 4, 0, 4, 0, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 4, 0, 0, 4, 4, 0, 0], [4, 4, 4, 0, 4, 4, 4, 0, 0, 4], [0, 4, 4, 4, 4, 0, 4, 4, 4, 4], [0, 4, 4, 4, 4, 0, 0, 4, 0, 4], [0, 4, 0, 4, 4, 4, 4, 4, 4, 0], [0, 4, 0, 4, 0, 0, 4, 0, 4, 4]] -> [[6, 6, 0, 6, 0, 6, 0, 6, 0, 6], [6, 6, 6, 6, 6, 6, 0, 0, 6, 6], [0, 6, 6, 0, 0, 0, 6, 0, 6, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 6, 0, 0], [6, 6, 0, 0, 6, 6, 6, 0, 0, 6], [0, 6, 6, 0, 6, 0, 6, 6, 6, 0], [0, 6, 6, 6, 6, 0, 0, 6, 0, 6], [0, 6, 0, 6, 6, 6, 6, 6, 6, 0], [0, 6, 0, 6, 0, 0, 6, 0, 6, 6]]\nExample input-output arrays:\n[[2, 2, 2, 2, 0, 2, 0, 2, 0, 2], [0, 2, 2, 2, 2, 2, 0, 0, 0, 0], [0, 2, 0, 2, 0, 0, 2, 0, 0, 2], [2, 2, 0, 0, 0, 0, 2, 2, 0, 0], [0, 2, 0, 0, 2, 0, 2, 2, 0, 0], [0, 2, 0, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 0, 0, 2, 2, 2, 2, 0], [0, 2, 2, 2, 0, 2, 0, 2, 2, 0], [0, 2, 0, 0, 0, 2, 2, 0, 0, 2], [2, 0, 2, 2, 0, 0, 0, 2, 2, 2], [1, 1, 1, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 1, 1, 1, 0, 1, 1, 1], [1, 1, 1, 0, 0, 0, 1, 1, 1, 0], [0, 1, 0, 0, 1, 0, 0, 0, 0, 1], [1, 1, 0, 0, 0, 0, 1, 1, 0, 0], [1, 0, 0, 1, 1, 1, 1, 0, 1, 1], [0, 1, 0, 0, 1, 1, 0, 1, 1, 0], [0, 0, 1, 1, 1, 0, 1, 1, 0, 1], [0, 0, 1, 1, 1, 1, 0, 1, 1, 1], [1, 1, 0, 0, 1, 0, 1, 1, 0, 0], [4, 4, 0, 4, 0, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 0, 0, 4, 4], [0, 4, 4, 0, 4, 0, 4, 0, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 4, 0, 0, 4, 4, 0, 0], [4, 4, 4, 0, 4, 4, 4, 0, 0, 4], [0, 4, 4, 4, 4, 0, 4, 4, 4, 4], [0, 4, 4, 4, 4, 0, 0, 4, 0, 4], [0, 4, 0, 4, 4, 4, 4, 4, 4, 0], [0, 4, 0, 4, 0, 0, 4, 0, 4, 4]] -> [[6, 6, 0, 6, 0, 6, 0, 6, 0, 6], [6, 6, 6, 6, 6, 6, 0, 0, 6, 6], [0, 6, 6, 0, 0, 0, 6, 0, 6, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 6, 0, 0], [6, 6, 0, 0, 6, 6, 6, 0, 0, 6], [0, 6, 6, 0, 6, 0, 6, 6, 6, 0], [0, 6, 6, 6, 6, 0, 0, 6, 0, 6], [0, 6, 0, 6, 6, 6, 6, 6, 6, 0], [0, 6, 0, 6, 0, 0, 6, 0, 6, 6]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 1, 1, 0, 0], [0, 0, 0, 1, 1, 1, 1, 1, 1, 1], [1, 0, 0, 0, 0, 0, 0, 1, 0, 0], [1, 0, 1, 1, 0, 0, 1, 1, 1, 0], [1, 1, 1, 0, 1, 1, 0, 0, 1, 1], [1, 1, 1, 0, 0, 1, 1, 1, 0, 1], [1, 1, 0, 0, 0, 1, 0, 1, 1, 1], [0, 1, 0, 1, 1, 0, 1, 0, 1, 1], [0, 0, 1, 1, 1, 1, 0, 1, 1, 1], [0, 0, 1, 0, 1, 1, 1, 0, 1, 0], [4, 4, 0, 0, 4, 4, 0, 4, 0, 0], [0, 0, 4, 4, 4, 4, 4, 0, 0, 0], [0, 4, 0, 4, 0, 4, 4, 0, 4, 4], [4, 0, 4, 4, 4, 4, 0, 0, 0, 0], [4, 4, 4, 4, 0, 0, 4, 0, 0, 4], [0, 4, 4, 0, 0, 4, 0, 0, 0, 4], [4, 0, 0, 4, 0, 4, 0, 0, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4], [0, 0, 4, 4, 4, 4, 0, 0, 0, 4], [4, 4, 4, 4, 0, 0, 0, 4, 0, 4]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            1,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            1,
+                            1,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1
+                        ],
+                        [
+                            1,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            1,
+                            0,
+                            0
+                        ],
+                        [
+                            1,
+                            0,
+                            1,
+                            1,
+                            0,
+                            0,
+                            1,
+                            1,
+                            1,
+                            0
+                        ],
+                        [
+                            1,
+                            1,
+                            1,
+                            0,
+                            1,
+                            1,
+                            0,
+                            0,
+                            1,
+                            1
+                        ],
+                        [
+                            1,
+                            1,
+                            1,
+                            0,
+                            0,
+                            1,
+                            1,
+                            1,
+                            0,
+                            1
+                        ],
+                        [
+                            1,
+                            1,
+                            0,
+                            0,
+                            0,
+                            1,
+                            0,
+                            1,
+                            1,
+                            1
+                        ],
+                        [
+                            0,
+                            1,
+                            0,
+                            1,
+                            1,
+                            0,
+                            1,
+                            0,
+                            1,
+                            1
+                        ],
+                        [
+                            0,
+                            0,
+                            1,
+                            1,
+                            1,
+                            1,
+                            0,
+                            1,
+                            1,
+                            1
+                        ],
+                        [
+                            0,
+                            0,
+                            1,
+                            0,
+                            1,
+                            1,
+                            1,
+                            0,
+                            1,
+                            0
+                        ],
+                        [
+                            4,
+                            4,
+                            0,
+                            0,
+                            4,
+                            4,
+                            0,
+                            4,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            4,
+                            0,
+                            4,
+                            0,
+                            4,
+                            4,
+                            0,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            0,
+                            4,
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            4,
+                            0,
+                            0,
+                            4
+                        ],
+                        [
+                            0,
+                            4,
+                            4,
+                            0,
+                            0,
+                            4,
+                            0,
+                            0,
+                            0,
+                            4
+                        ],
+                        [
+                            4,
+                            0,
+                            0,
+                            4,
+                            0,
+                            4,
+                            0,
+                            0,
+                            4,
+                            4
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            4
+                        ],
+                        [
+                            0,
+                            0,
+                            4,
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            4,
+                            0,
+                            4
+                        ]
+                    ],
+                    "output": [
+                        [
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            6,
+                            0,
+                            6,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            6
+                        ],
+                        [
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            6,
+                            6
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6
+                        ],
+                        [
+                            0,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            0,
+                            6
+                        ],
+                        [
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ]
+                    ]
+                }
+            },
+            "Replicate 3": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 0, 2, 0, 2, 2, 0, 2, 0], [2, 2, 0, 2, 0, 0, 0, 2, 0, 2], [2, 0, 2, 2, 2, 0, 2, 0, 0, 2], [2, 2, 2, 2, 0, 0, 2, 0, 2, 2], [2, 2, 0, 0, 2, 0, 0, 0, 2, 2], [2, 0, 2, 2, 0, 2, 0, 2, 0, 0], [2, 2, 0, 2, 2, 0, 2, 2, 0, 2], [2, 2, 2, 0, 0, 2, 2, 2, 0, 0], [2, 0, 2, 2, 0, 2, 2, 0, 2, 2], [2, 0, 2, 0, 0, 0, 0, 0, 0, 2], [1, 0, 0, 1, 1, 0, 0, 0, 0, 0], [1, 1, 0, 0, 1, 1, 0, 0, 0, 1], [1, 0, 1, 0, 0, 0, 0, 0, 1, 1], [1, 1, 0, 1, 1, 0, 1, 0, 1, 0], [0, 1, 1, 1, 1, 1, 0, 1, 0, 1], [1, 0, 0, 1, 0, 0, 1, 0, 0, 0], [0, 1, 1, 0, 1, 1, 1, 1, 0, 1], [1, 0, 1, 0, 1, 0, 0, 1, 0, 0], [1, 0, 1, 1, 1, 0, 1, 0, 1, 0], [1, 1, 0, 1, 0, 0, 0, 0, 0, 0], [0, 4, 0, 0, 0, 0, 4, 4, 4, 4], [4, 0, 4, 0, 4, 0, 4, 0, 0, 0], [0, 0, 4, 4, 4, 0, 4, 0, 0, 4], [4, 4, 4, 4, 0, 0, 4, 4, 4, 0], [4, 4, 4, 0, 4, 0, 4, 4, 0, 4], [0, 0, 4, 0, 0, 4, 4, 0, 4, 0], [4, 4, 4, 4, 4, 0, 0, 4, 0, 4], [0, 4, 0, 4, 4, 4, 4, 0, 0, 4], [4, 4, 0, 0, 4, 4, 0, 0, 0, 0], [0, 0, 0, 0, 4, 0, 0, 4, 4, 0]] -> [[0, 0, 0, 0, 0, 0, 6, 0, 6, 0], [6, 0, 0, 0, 6, 0, 0, 0, 0, 0], [0, 0, 6, 6, 6, 0, 6, 0, 0, 6], [6, 6, 6, 6, 0, 0, 6, 0, 6, 0], [6, 6, 6, 0, 6, 0, 0, 6, 0, 6], [0, 0, 6, 0, 0, 6, 6, 0, 0, 0], [6, 6, 6, 6, 6, 0, 0, 6, 0, 6], [0, 6, 0, 0, 6, 6, 6, 0, 0, 0], [6, 0, 0, 0, 6, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[2, 2, 0, 2, 2, 0, 0, 2, 0, 2], [0, 2, 2, 0, 2, 2, 0, 0, 0, 0], [0, 0, 0, 2, 0, 2, 2, 2, 2, 0], [2, 0, 2, 0, 2, 2, 0, 0, 0, 0], [2, 2, 0, 0, 2, 2, 2, 0, 0, 2], [0, 0, 0, 2, 2, 2, 2, 0, 2, 2], [0, 2, 0, 0, 2, 2, 0, 0, 0, 0], [2, 2, 0, 2, 2, 2, 0, 2, 0, 0], [2, 2, 0, 2, 0, 0, 0, 2, 2, 0], [0, 0, 2, 0, 2, 0, 0, 0, 2, 0], [1, 1, 0, 1, 1, 0, 1, 1, 0, 1], [1, 1, 0, 0, 1, 0, 1, 1, 0, 1], [1, 1, 0, 0, 1, 0, 0, 1, 0, 0], [1, 1, 0, 0, 0, 1, 0, 1, 0, 1], [0, 1, 0, 1, 0, 0, 0, 0, 1, 1], [1, 1, 0, 0, 1, 0, 1, 0, 1, 1], [1, 0, 1, 1, 1, 0, 1, 1, 1, 1], [1, 0, 1, 1, 0, 0, 0, 0, 0, 0], [0, 1, 1, 1, 0, 0, 0, 0, 1, 1], [0, 0, 0, 0, 0, 1, 0, 0, 1, 0], [4, 4, 4, 4, 4, 0, 0, 0, 0, 4], [0, 0, 4, 4, 0, 0, 0, 0, 0, 4], [4, 0, 4, 0, 4, 0, 4, 4, 4, 0], [0, 4, 0, 4, 0, 0, 0, 4, 4, 4], [0, 4, 4, 4, 0, 4, 4, 0, 4, 4], [0, 4, 0, 4, 0, 0, 0, 0, 0, 0], [4, 4, 4, 4, 0, 4, 4, 4, 4, 4], [4, 0, 4, 4, 0, 4, 4, 4, 4, 4], [4, 0, 4, 4, 0, 4, 0, 4, 4, 4], [4, 0, 0, 0, 4, 4, 4, 0, 0, 4]] -> [[6, 6, 0, 6, 6, 0, 0, 0, 0, 6], [0, 0, 6, 0, 0, 0, 0, 0, 0, 6], [6, 0, 0, 0, 6, 0, 6, 6, 6, 0], [0, 6, 0, 0, 0, 0, 0, 6, 0, 6], [0, 6, 0, 6, 0, 6, 6, 0, 6, 6], [0, 6, 0, 6, 0, 0, 0, 0, 0, 0], [6, 6, 6, 6, 0, 6, 6, 6, 6, 6], [6, 0, 6, 6, 0, 6, 0, 6, 0, 0], [6, 0, 6, 6, 0, 0, 0, 6, 6, 6], [0, 0, 0, 0, 6, 6, 0, 0, 0, 0]]\nExample input-output arrays:\n[[2, 2, 2, 2, 0, 2, 0, 2, 0, 2], [0, 2, 2, 2, 2, 2, 0, 0, 0, 0], [0, 2, 0, 2, 0, 0, 2, 0, 0, 2], [2, 2, 0, 0, 0, 0, 2, 2, 0, 0], [0, 2, 0, 0, 2, 0, 2, 2, 0, 0], [0, 2, 0, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 0, 0, 2, 2, 2, 2, 0], [0, 2, 2, 2, 0, 2, 0, 2, 2, 0], [0, 2, 0, 0, 0, 2, 2, 0, 0, 2], [2, 0, 2, 2, 0, 0, 0, 2, 2, 2], [1, 1, 1, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 1, 1, 1, 0, 1, 1, 1], [1, 1, 1, 0, 0, 0, 1, 1, 1, 0], [0, 1, 0, 0, 1, 0, 0, 0, 0, 1], [1, 1, 0, 0, 0, 0, 1, 1, 0, 0], [1, 0, 0, 1, 1, 1, 1, 0, 1, 1], [0, 1, 0, 0, 1, 1, 0, 1, 1, 0], [0, 0, 1, 1, 1, 0, 1, 1, 0, 1], [0, 0, 1, 1, 1, 1, 0, 1, 1, 1], [1, 1, 0, 0, 1, 0, 1, 1, 0, 0], [4, 4, 0, 4, 0, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 0, 0, 4, 4], [0, 4, 4, 0, 4, 0, 4, 0, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 4, 0, 0, 4, 4, 0, 0], [4, 4, 4, 0, 4, 4, 4, 0, 0, 4], [0, 4, 4, 4, 4, 0, 4, 4, 4, 4], [0, 4, 4, 4, 4, 0, 0, 4, 0, 4], [0, 4, 0, 4, 4, 4, 4, 4, 4, 0], [0, 4, 0, 4, 0, 0, 4, 0, 4, 4]] -> [[6, 6, 0, 6, 0, 6, 0, 6, 0, 6], [6, 6, 6, 6, 6, 6, 0, 0, 6, 6], [0, 6, 6, 0, 0, 0, 6, 0, 6, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 6, 0, 0], [6, 6, 0, 0, 6, 6, 6, 0, 0, 6], [0, 6, 6, 0, 6, 0, 6, 6, 6, 0], [0, 6, 6, 6, 6, 0, 0, 6, 0, 6], [0, 6, 0, 6, 6, 6, 6, 6, 6, 0], [0, 6, 0, 6, 0, 0, 6, 0, 6, 6]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [0, 1, 1, 1, 0, 1, 1, 0, 0, 0], [0, 1, 1, 1, 0, 0, 0, 0, 0, 1], [1, 1, 1, 0, 0, 1, 0, 0, 1, 1], [1, 1, 1, 1, 1, 1, 0, 0, 0, 0], [0, 1, 1, 0, 0, 0, 0, 0, 1, 0], [0, 1, 0, 1, 1, 1, 0, 0, 1, 0], [0, 1, 1, 1, 0, 0, 1, 0, 0, 0], [1, 1, 0, 1, 0, 1, 1, 0, 1, 1], [0, 1, 0, 0, 1, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 1, 1, 1, 1], [4, 0, 4, 4, 4, 0, 0, 4, 0, 0], [4, 0, 4, 0, 0, 4, 0, 4, 4, 4], [0, 4, 4, 0, 4, 4, 4, 4, 4, 4], [0, 0, 4, 4, 4, 0, 4, 0, 0, 4], [4, 4, 4, 4, 4, 4, 4, 0, 0, 4], [0, 0, 0, 4, 0, 4, 0, 0, 4, 4], [0, 4, 0, 4, 0, 0, 4, 0, 4, 0], [4, 4, 4, 4, 4, 0, 4, 4, 4, 4], [4, 0, 0, 0, 4, 4, 4, 4, 4, 4], [4, 0, 4, 4, 4, 4, 0, 4, 0, 4]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            0,
+                            1,
+                            1,
+                            1,
+                            0,
+                            1,
+                            1,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            1,
+                            1,
+                            1,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            1
+                        ],
+                        [
+                            1,
+                            1,
+                            1,
+                            0,
+                            0,
+                            1,
+                            0,
+                            0,
+                            1,
+                            1
+                        ],
+                        [
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            1,
+                            1,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            1,
+                            0
+                        ],
+                        [
+                            0,
+                            1,
+                            0,
+                            1,
+                            1,
+                            1,
+                            0,
+                            0,
+                            1,
+                            0
+                        ],
+                        [
+                            0,
+                            1,
+                            1,
+                            1,
+                            0,
+                            0,
+                            1,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            1,
+                            1,
+                            0,
+                            1,
+                            0,
+                            1,
+                            1,
+                            0,
+                            1,
+                            1
+                        ],
+                        [
+                            0,
+                            1,
+                            0,
+                            0,
+                            1,
+                            0,
+                            0,
+                            0,
+                            0,
+                            1
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            1,
+                            1,
+                            1,
+                            1
+                        ],
+                        [
+                            4,
+                            0,
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            4,
+                            0,
+                            0
+                        ],
+                        [
+                            4,
+                            0,
+                            4,
+                            0,
+                            0,
+                            4,
+                            0,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            0,
+                            4,
+                            4,
+                            0,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            0,
+                            0,
+                            4,
+                            4,
+                            4,
+                            0,
+                            4,
+                            0,
+                            0,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            4
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            4,
+                            0,
+                            4,
+                            0,
+                            0,
+                            4,
+                            4
+                        ],
+                        [
+                            0,
+                            4,
+                            0,
+                            4,
+                            0,
+                            0,
+                            4,
+                            0,
+                            4,
+                            0
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            0,
+                            4,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            0,
+                            0,
+                            0,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            0,
+                            4,
+                            4,
+                            4,
+                            4,
+                            0,
+                            4,
+                            0,
+                            4
+                        ]
+                    ],
+                    "output": [
+                        [
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0
+                        ],
+                        [
+                            6,
+                            0,
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            0,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0,
+                            6,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            0,
+                            0,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6
+                        ]
+                    ]
+                }
+            },
+            "Replicate 4": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[2, 0, 0, 0, 0, 0, 2, 2, 0, 2], [0, 0, 0, 2, 2, 0, 2, 2, 0, 2], [0, 2, 2, 2, 0, 0, 0, 2, 2, 0], [0, 2, 0, 2, 2, 0, 0, 0, 0, 0], [2, 0, 0, 2, 0, 0, 0, 0, 2, 2], [2, 2, 0, 2, 0, 0, 0, 2, 0, 0], [0, 2, 2, 0, 2, 2, 0, 2, 2, 0], [0, 0, 2, 2, 2, 2, 0, 0, 0, 2], [2, 2, 0, 2, 2, 0, 2, 0, 0, 2], [0, 2, 2, 2, 2, 0, 2, 2, 2, 0], [1, 0, 0, 1, 1, 0, 0, 1, 0, 1], [1, 0, 0, 1, 1, 0, 1, 1, 1, 1], [0, 1, 0, 1, 0, 0, 1, 0, 1, 1], [0, 0, 1, 1, 0, 0, 1, 0, 1, 1], [0, 1, 1, 0, 1, 0, 1, 1, 0, 0], [1, 1, 1, 0, 1, 1, 1, 0, 0, 1], [1, 0, 0, 0, 0, 1, 0, 0, 1, 1], [0, 0, 1, 0, 0, 1, 0, 0, 1, 1], [1, 1, 0, 0, 1, 0, 1, 1, 1, 0], [0, 0, 1, 1, 1, 0, 0, 0, 0, 1], [0, 4, 4, 4, 0, 4, 4, 4, 0, 0], [4, 0, 0, 0, 0, 4, 4, 4, 0, 4], [4, 4, 4, 0, 0, 4, 4, 4, 0, 0], [4, 4, 4, 0, 4, 4, 4, 4, 4, 0], [4, 4, 4, 4, 4, 4, 0, 0, 4, 0], [4, 4, 4, 4, 0, 0, 4, 4, 4, 4], [4, 4, 4, 4, 4, 0, 4, 4, 0, 0], [0, 0, 4, 4, 0, 0, 4, 4, 4, 4], [0, 0, 0, 0, 0, 4, 0, 4, 4, 0], [0, 4, 0, 0, 4, 4, 4, 4, 4, 4]] -> [[0, 0, 0, 6, 0, 0, 6, 6, 0, 0], [6, 0, 0, 0, 0, 0, 6, 6, 0, 6], [0, 6, 6, 0, 0, 0, 6, 6, 0, 0], [0, 6, 6, 0, 6, 0, 6, 0, 6, 0], [6, 6, 6, 6, 6, 0, 0, 0, 6, 0], [6, 6, 6, 6, 0, 0, 6, 6, 0, 6], [6, 6, 6, 0, 6, 0, 0, 6, 0, 0], [0, 0, 6, 6, 0, 0, 0, 0, 6, 6], [0, 0, 0, 0, 0, 0, 0, 6, 6, 0], [0, 6, 0, 0, 6, 0, 6, 6, 6, 6]]\nExample input-output arrays:\n[[2, 2, 0, 0, 0, 0, 2, 0, 2, 0], [2, 0, 2, 2, 2, 2, 0, 0, 2, 0], [2, 2, 0, 0, 2, 2, 0, 0, 2, 0], [0, 2, 0, 2, 2, 0, 0, 0, 0, 0], [2, 0, 0, 0, 2, 0, 0, 2, 2, 0], [2, 2, 2, 0, 2, 2, 2, 2, 2, 0], [2, 2, 0, 2, 2, 0, 2, 2, 0, 2], [0, 0, 2, 2, 0, 2, 2, 0, 0, 2], [0, 2, 2, 0, 2, 0, 0, 2, 2, 2], [0, 2, 0, 2, 2, 2, 2, 2, 2, 0], [1, 0, 0, 0, 1, 1, 1, 0, 1, 1], [1, 0, 1, 1, 0, 1, 1, 0, 1, 0], [0, 0, 1, 0, 1, 1, 0, 1, 1, 0], [0, 0, 0, 1, 1, 1, 1, 1, 0, 0], [0, 0, 1, 1, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 1, 1, 0, 0, 0, 1], [1, 0, 0, 0, 0, 0, 1, 0, 0, 0], [1, 1, 0, 1, 1, 0, 0, 1, 0, 1], [1, 0, 0, 1, 0, 1, 0, 0, 0, 1], [1, 0, 1, 0, 1, 0, 0, 0, 0, 1], [4, 4, 4, 0, 0, 0, 4, 4, 4, 4], [4, 4, 0, 4, 4, 0, 4, 4, 0, 0], [0, 4, 4, 0, 4, 0, 0, 4, 0, 0], [0, 4, 4, 0, 0, 4, 0, 0, 4, 0], [4, 0, 0, 4, 4, 4, 4, 4, 4, 4], [0, 0, 4, 0, 0, 0, 4, 4, 4, 4], [0, 4, 0, 0, 4, 0, 0, 0, 0, 4], [4, 0, 0, 4, 0, 0, 4, 4, 4, 4], [0, 0, 4, 4, 0, 0, 4, 4, 0, 0], [0, 0, 4, 0, 4, 4, 0, 4, 0, 4]] -> [[6, 6, 0, 0, 0, 0, 6, 0, 6, 6], [6, 0, 0, 6, 6, 0, 6, 0, 0, 0], [0, 6, 6, 0, 6, 0, 0, 6, 0, 0], [0, 6, 0, 0, 0, 6, 0, 0, 0, 0], [6, 0, 0, 6, 6, 0, 0, 6, 6, 0], [0, 0, 6, 0, 0, 0, 6, 6, 6, 6], [0, 6, 0, 0, 6, 0, 0, 0, 0, 6], [6, 0, 0, 6, 0, 0, 6, 6, 0, 6], [0, 0, 6, 6, 0, 0, 0, 6, 0, 0], [0, 0, 6, 0, 6, 6, 0, 6, 0, 6]]\nExample input-output arrays:\n[[0, 0, 0, 2, 0, 2, 2, 0, 2, 0], [2, 2, 0, 2, 0, 0, 0, 2, 0, 2], [2, 0, 2, 2, 2, 0, 2, 0, 0, 2], [2, 2, 2, 2, 0, 0, 2, 0, 2, 2], [2, 2, 0, 0, 2, 0, 0, 0, 2, 2], [2, 0, 2, 2, 0, 2, 0, 2, 0, 0], [2, 2, 0, 2, 2, 0, 2, 2, 0, 2], [2, 2, 2, 0, 0, 2, 2, 2, 0, 0], [2, 0, 2, 2, 0, 2, 2, 0, 2, 2], [2, 0, 2, 0, 0, 0, 0, 0, 0, 2], [1, 0, 0, 1, 1, 0, 0, 0, 0, 0], [1, 1, 0, 0, 1, 1, 0, 0, 0, 1], [1, 0, 1, 0, 0, 0, 0, 0, 1, 1], [1, 1, 0, 1, 1, 0, 1, 0, 1, 0], [0, 1, 1, 1, 1, 1, 0, 1, 0, 1], [1, 0, 0, 1, 0, 0, 1, 0, 0, 0], [0, 1, 1, 0, 1, 1, 1, 1, 0, 1], [1, 0, 1, 0, 1, 0, 0, 1, 0, 0], [1, 0, 1, 1, 1, 0, 1, 0, 1, 0], [1, 1, 0, 1, 0, 0, 0, 0, 0, 0], [0, 4, 0, 0, 0, 0, 4, 4, 4, 4], [4, 0, 4, 0, 4, 0, 4, 0, 0, 0], [0, 0, 4, 4, 4, 0, 4, 0, 0, 4], [4, 4, 4, 4, 0, 0, 4, 4, 4, 0], [4, 4, 4, 0, 4, 0, 4, 4, 0, 4], [0, 0, 4, 0, 0, 4, 4, 0, 4, 0], [4, 4, 4, 4, 4, 0, 0, 4, 0, 4], [0, 4, 0, 4, 4, 4, 4, 0, 0, 4], [4, 4, 0, 0, 4, 4, 0, 0, 0, 0], [0, 0, 0, 0, 4, 0, 0, 4, 4, 0]] -> [[0, 0, 0, 0, 0, 0, 6, 0, 6, 0], [6, 0, 0, 0, 6, 0, 0, 0, 0, 0], [0, 0, 6, 6, 6, 0, 6, 0, 0, 6], [6, 6, 6, 6, 0, 0, 6, 0, 6, 0], [6, 6, 6, 0, 6, 0, 0, 6, 0, 6], [0, 0, 6, 0, 0, 6, 6, 0, 0, 0], [6, 6, 6, 6, 6, 0, 0, 6, 0, 6], [0, 6, 0, 0, 6, 6, 6, 0, 0, 0], [6, 0, 0, 0, 6, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [0, 0, 0, 0, 0, 0, 0, 0, 1, 1], [1, 1, 0, 0, 0, 1, 0, 1, 0, 0], [0, 1, 0, 1, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 1, 1, 1, 0, 0, 0], [1, 0, 1, 0, 1, 0, 1, 0, 0, 1], [0, 0, 1, 1, 0, 0, 0, 1, 1, 1], [0, 0, 1, 1, 1, 0, 0, 1, 1, 1], [1, 1, 0, 1, 0, 1, 1, 0, 0, 0], [0, 1, 0, 0, 0, 1, 1, 1, 1, 0], [0, 0, 1, 0, 1, 1, 0, 1, 1, 0], [4, 0, 0, 4, 4, 4, 4, 0, 4, 4], [4, 4, 4, 4, 0, 4, 4, 0, 0, 0], [4, 0, 0, 0, 0, 4, 0, 0, 0, 4], [4, 4, 4, 0, 0, 4, 0, 4, 4, 0], [0, 0, 0, 4, 4, 0, 4, 4, 0, 4], [4, 4, 4, 0, 0, 0, 0, 0, 4, 0], [4, 0, 0, 0, 0, 4, 4, 0, 0, 0], [0, 0, 4, 4, 0, 4, 0, 0, 0, 0], [0, 0, 4, 4, 0, 4, 0, 0, 0, 4], [4, 0, 4, 0, 4, 4, 4, 4, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            1,
+                            1
+                        ],
+                        [
+                            1,
+                            1,
+                            0,
+                            0,
+                            0,
+                            1,
+                            0,
+                            1,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            1,
+                            0,
+                            1,
+                            0,
+                            0,
+                            1,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            1,
+                            1,
+                            1,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            1,
+                            0,
+                            1,
+                            0,
+                            1,
+                            0,
+                            1,
+                            0,
+                            0,
+                            1
+                        ],
+                        [
+                            0,
+                            0,
+                            1,
+                            1,
+                            0,
+                            0,
+                            0,
+                            1,
+                            1,
+                            1
+                        ],
+                        [
+                            0,
+                            0,
+                            1,
+                            1,
+                            1,
+                            0,
+                            0,
+                            1,
+                            1,
+                            1
+                        ],
+                        [
+                            1,
+                            1,
+                            0,
+                            1,
+                            0,
+                            1,
+                            1,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            1,
+                            0,
+                            0,
+                            0,
+                            1,
+                            1,
+                            1,
+                            1,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            1,
+                            0,
+                            1,
+                            1,
+                            0,
+                            1,
+                            1,
+                            0
+                        ],
+                        [
+                            4,
+                            0,
+                            0,
+                            4,
+                            4,
+                            4,
+                            4,
+                            0,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            0,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            4,
+                            0,
+                            0,
+                            0,
+                            0,
+                            4,
+                            0,
+                            0,
+                            0,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            4,
+                            0,
+                            4,
+                            4,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            4,
+                            4,
+                            0,
+                            4,
+                            4,
+                            0,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            4,
+                            0
+                        ],
+                        [
+                            4,
+                            0,
+                            0,
+                            0,
+                            0,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            4,
+                            4,
+                            0,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            4,
+                            4,
+                            0,
+                            4,
+                            0,
+                            0,
+                            0,
+                            4
+                        ],
+                        [
+                            4,
+                            0,
+                            4,
+                            0,
+                            4,
+                            4,
+                            4,
+                            4,
+                            0,
+                            0
+                        ]
+                    ],
+                    "output": [
+                        [
+                            6,
+                            0,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0
+                        ],
+                        [
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            6,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            6
+                        ],
+                        [
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0
+                        ]
+                    ]
+                }
+            }
+        },
+        "L3": {
+            "Replicate 0": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[2, 0, 0, 0, 0, 0, 2, 2, 0, 2], [0, 0, 0, 2, 2, 0, 2, 2, 0, 2], [0, 2, 2, 2, 0, 0, 0, 2, 2, 0], [0, 2, 0, 2, 2, 0, 0, 0, 0, 0], [2, 0, 0, 2, 0, 0, 0, 0, 2, 2], [2, 2, 0, 2, 0, 0, 0, 2, 0, 0], [0, 2, 2, 0, 2, 2, 0, 2, 2, 0], [0, 0, 2, 2, 2, 2, 0, 0, 0, 2], [2, 2, 0, 2, 2, 0, 2, 0, 0, 2], [0, 2, 2, 2, 2, 0, 2, 2, 2, 0], [1, 0, 0, 1, 1, 0, 0, 1, 0, 1], [1, 0, 0, 1, 1, 0, 1, 1, 1, 1], [0, 1, 0, 1, 0, 0, 1, 0, 1, 1], [0, 0, 1, 1, 0, 0, 1, 0, 1, 1], [0, 1, 1, 0, 1, 0, 1, 1, 0, 0], [1, 1, 1, 0, 1, 1, 1, 0, 0, 1], [1, 0, 0, 0, 0, 1, 0, 0, 1, 1], [0, 0, 1, 0, 0, 1, 0, 0, 1, 1], [1, 1, 0, 0, 1, 0, 1, 1, 1, 0], [0, 0, 1, 1, 1, 0, 0, 0, 0, 1], [0, 4, 4, 4, 0, 4, 4, 4, 0, 0], [4, 0, 0, 0, 0, 4, 4, 4, 0, 4], [4, 4, 4, 0, 0, 4, 4, 4, 0, 0], [4, 4, 4, 0, 4, 4, 4, 4, 4, 0], [4, 4, 4, 4, 4, 4, 0, 0, 4, 0], [4, 4, 4, 4, 0, 0, 4, 4, 4, 4], [4, 4, 4, 4, 4, 0, 4, 4, 0, 0], [0, 0, 4, 4, 0, 0, 4, 4, 4, 4], [0, 0, 0, 0, 0, 4, 0, 4, 4, 0], [0, 4, 0, 0, 4, 4, 4, 4, 4, 4]] -> [[0, 0, 0, 6, 0, 0, 6, 6, 0, 0], [6, 0, 0, 0, 0, 0, 6, 6, 0, 6], [0, 6, 6, 0, 0, 0, 6, 6, 0, 0], [0, 6, 6, 0, 6, 0, 6, 0, 6, 0], [6, 6, 6, 6, 6, 0, 0, 0, 6, 0], [6, 6, 6, 6, 0, 0, 6, 6, 0, 6], [6, 6, 6, 0, 6, 0, 0, 6, 0, 0], [0, 0, 6, 6, 0, 0, 0, 0, 6, 6], [0, 0, 0, 0, 0, 0, 0, 6, 6, 0], [0, 6, 0, 0, 6, 0, 6, 6, 6, 6]]\nExample input-output arrays:\n[[2, 0, 0, 0, 0, 0, 2, 2, 0, 2], [0, 0, 0, 2, 2, 0, 2, 2, 0, 2], [0, 2, 2, 2, 0, 0, 0, 2, 2, 0], [0, 2, 0, 2, 2, 0, 0, 0, 0, 0], [2, 0, 0, 2, 0, 0, 0, 0, 2, 2], [2, 2, 0, 2, 0, 0, 0, 2, 0, 0], [0, 2, 2, 0, 2, 2, 0, 2, 2, 0], [0, 0, 2, 2, 2, 2, 0, 0, 0, 2], [2, 2, 0, 2, 2, 0, 2, 0, 0, 2], [0, 2, 2, 2, 2, 0, 2, 2, 2, 0], [1, 0, 0, 1, 1, 0, 0, 1, 0, 1], [1, 0, 0, 1, 1, 0, 1, 1, 1, 1], [0, 1, 0, 1, 0, 0, 1, 0, 1, 1], [0, 0, 1, 1, 0, 0, 1, 0, 1, 1], [0, 1, 1, 0, 1, 0, 1, 1, 0, 0], [1, 1, 1, 0, 1, 1, 1, 0, 0, 1], [1, 0, 0, 0, 0, 1, 0, 0, 1, 1], [0, 0, 1, 0, 0, 1, 0, 0, 1, 1], [1, 1, 0, 0, 1, 0, 1, 1, 1, 0], [0, 0, 1, 1, 1, 0, 0, 0, 0, 1], [0, 4, 4, 4, 0, 4, 4, 4, 0, 0], [4, 0, 0, 0, 0, 4, 4, 4, 0, 4], [4, 4, 4, 0, 0, 4, 4, 4, 0, 0], [4, 4, 4, 0, 4, 4, 4, 4, 4, 0], [4, 4, 4, 4, 4, 4, 0, 0, 4, 0], [4, 4, 4, 4, 0, 0, 4, 4, 4, 4], [4, 4, 4, 4, 4, 0, 4, 4, 0, 0], [0, 0, 4, 4, 0, 0, 4, 4, 4, 4], [0, 0, 0, 0, 0, 4, 0, 4, 4, 0], [0, 4, 0, 0, 4, 4, 4, 4, 4, 4]] -> [[0, 0, 0, 6, 0, 0, 6, 6, 0, 0], [6, 0, 0, 0, 0, 0, 6, 6, 0, 6], [0, 6, 6, 0, 0, 0, 6, 6, 0, 0], [0, 6, 6, 0, 6, 0, 6, 0, 6, 0], [6, 6, 6, 6, 6, 0, 0, 0, 6, 0], [6, 6, 6, 6, 0, 0, 6, 6, 0, 6], [6, 6, 6, 0, 6, 0, 0, 6, 0, 0], [0, 0, 6, 6, 0, 0, 0, 0, 6, 6], [0, 0, 0, 0, 0, 0, 0, 6, 6, 0], [0, 6, 0, 0, 6, 0, 6, 6, 6, 6]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 1, 1, 0, 0, 0, 0, 1], [1, 0, 0, 0, 1, 0, 0, 1, 1, 1], [1, 1, 1, 1, 0, 1, 0, 1, 0, 0], [1, 0, 1, 0, 1, 1, 1, 0, 0, 1], [0, 1, 1, 1, 1, 0, 1, 0, 0, 0], [0, 1, 1, 0, 1, 1, 0, 1, 1, 1], [1, 1, 0, 0, 1, 0, 0, 1, 1, 1], [0, 1, 0, 0, 1, 0, 1, 1, 1, 1], [1, 1, 1, 0, 0, 1, 0, 1, 1, 0], [1, 0, 1, 0, 1, 1, 0, 0, 0, 1], [4, 0, 4, 4, 0, 0, 0, 0, 0, 4], [4, 4, 4, 0, 0, 0, 0, 0, 0, 0], [0, 0, 4, 4, 4, 0, 4, 4, 4, 4], [0, 0, 4, 0, 0, 4, 0, 0, 4, 0], [0, 0, 4, 0, 0, 0, 0, 0, 0, 0], [0, 4, 0, 0, 0, 0, 0, 0, 0, 0], [0, 4, 0, 0, 4, 0, 0, 4, 4, 4], [4, 4, 4, 4, 4, 4, 0, 0, 0, 0], [4, 0, 4, 4, 0, 4, 0, 4, 4, 0], [0, 0, 0, 4, 0, 4, 0, 4, 4, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            1,
+                            0,
+                            1,
+                            1,
+                            0,
+                            0,
+                            0,
+                            0,
+                            1
+                        ],
+                        [
+                            1,
+                            0,
+                            0,
+                            0,
+                            1,
+                            0,
+                            0,
+                            1,
+                            1,
+                            1
+                        ],
+                        [
+                            1,
+                            1,
+                            1,
+                            1,
+                            0,
+                            1,
+                            0,
+                            1,
+                            0,
+                            0
+                        ],
+                        [
+                            1,
+                            0,
+                            1,
+                            0,
+                            1,
+                            1,
+                            1,
+                            0,
+                            0,
+                            1
+                        ],
+                        [
+                            0,
+                            1,
+                            1,
+                            1,
+                            1,
+                            0,
+                            1,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            1,
+                            1,
+                            0,
+                            1,
+                            1,
+                            0,
+                            1,
+                            1,
+                            1
+                        ],
+                        [
+                            1,
+                            1,
+                            0,
+                            0,
+                            1,
+                            0,
+                            0,
+                            1,
+                            1,
+                            1
+                        ],
+                        [
+                            0,
+                            1,
+                            0,
+                            0,
+                            1,
+                            0,
+                            1,
+                            1,
+                            1,
+                            1
+                        ],
+                        [
+                            1,
+                            1,
+                            1,
+                            0,
+                            0,
+                            1,
+                            0,
+                            1,
+                            1,
+                            0
+                        ],
+                        [
+                            1,
+                            0,
+                            1,
+                            0,
+                            1,
+                            1,
+                            0,
+                            0,
+                            0,
+                            1
+                        ],
+                        [
+                            4,
+                            0,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            4,
+                            4,
+                            4,
+                            0,
+                            4,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            0,
+                            0,
+                            4,
+                            0,
+                            0,
+                            4,
+                            0,
+                            0,
+                            4,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            4,
+                            0,
+                            0,
+                            4,
+                            0,
+                            0,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            4,
+                            0,
+                            4,
+                            4,
+                            0,
+                            4,
+                            0,
+                            4,
+                            4,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            4,
+                            0,
+                            4,
+                            0,
+                            4,
+                            4,
+                            0
+                        ]
+                    ],
+                    "output": [
+                        [
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6
+                        ],
+                        [
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            6,
+                            6,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            6,
+                            0,
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0
+                        ]
+                    ]
+                }
+            },
+            "Replicate 1": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[2, 0, 0, 0, 0, 0, 2, 2, 0, 2], [0, 0, 0, 2, 2, 0, 2, 2, 0, 2], [0, 2, 2, 2, 0, 0, 0, 2, 2, 0], [0, 2, 0, 2, 2, 0, 0, 0, 0, 0], [2, 0, 0, 2, 0, 0, 0, 0, 2, 2], [2, 2, 0, 2, 0, 0, 0, 2, 0, 0], [0, 2, 2, 0, 2, 2, 0, 2, 2, 0], [0, 0, 2, 2, 2, 2, 0, 0, 0, 2], [2, 2, 0, 2, 2, 0, 2, 0, 0, 2], [0, 2, 2, 2, 2, 0, 2, 2, 2, 0], [1, 0, 0, 1, 1, 0, 0, 1, 0, 1], [1, 0, 0, 1, 1, 0, 1, 1, 1, 1], [0, 1, 0, 1, 0, 0, 1, 0, 1, 1], [0, 0, 1, 1, 0, 0, 1, 0, 1, 1], [0, 1, 1, 0, 1, 0, 1, 1, 0, 0], [1, 1, 1, 0, 1, 1, 1, 0, 0, 1], [1, 0, 0, 0, 0, 1, 0, 0, 1, 1], [0, 0, 1, 0, 0, 1, 0, 0, 1, 1], [1, 1, 0, 0, 1, 0, 1, 1, 1, 0], [0, 0, 1, 1, 1, 0, 0, 0, 0, 1], [0, 4, 4, 4, 0, 4, 4, 4, 0, 0], [4, 0, 0, 0, 0, 4, 4, 4, 0, 4], [4, 4, 4, 0, 0, 4, 4, 4, 0, 0], [4, 4, 4, 0, 4, 4, 4, 4, 4, 0], [4, 4, 4, 4, 4, 4, 0, 0, 4, 0], [4, 4, 4, 4, 0, 0, 4, 4, 4, 4], [4, 4, 4, 4, 4, 0, 4, 4, 0, 0], [0, 0, 4, 4, 0, 0, 4, 4, 4, 4], [0, 0, 0, 0, 0, 4, 0, 4, 4, 0], [0, 4, 0, 0, 4, 4, 4, 4, 4, 4]] -> [[0, 0, 0, 6, 0, 0, 6, 6, 0, 0], [6, 0, 0, 0, 0, 0, 6, 6, 0, 6], [0, 6, 6, 0, 0, 0, 6, 6, 0, 0], [0, 6, 6, 0, 6, 0, 6, 0, 6, 0], [6, 6, 6, 6, 6, 0, 0, 0, 6, 0], [6, 6, 6, 6, 0, 0, 6, 6, 0, 6], [6, 6, 6, 0, 6, 0, 0, 6, 0, 0], [0, 0, 6, 6, 0, 0, 0, 0, 6, 6], [0, 0, 0, 0, 0, 0, 0, 6, 6, 0], [0, 6, 0, 0, 6, 0, 6, 6, 6, 6]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[2, 0, 0, 0, 0, 0, 2, 2, 0, 2], [0, 0, 0, 2, 2, 0, 2, 2, 0, 2], [0, 2, 2, 2, 0, 0, 0, 2, 2, 0], [0, 2, 0, 2, 2, 0, 0, 0, 0, 0], [2, 0, 0, 2, 0, 0, 0, 0, 2, 2], [2, 2, 0, 2, 0, 0, 0, 2, 0, 0], [0, 2, 2, 0, 2, 2, 0, 2, 2, 0], [0, 0, 2, 2, 2, 2, 0, 0, 0, 2], [2, 2, 0, 2, 2, 0, 2, 0, 0, 2], [0, 2, 2, 2, 2, 0, 2, 2, 2, 0], [8, 0, 0, 8, 8, 0, 0, 8, 0, 8], [8, 0, 0, 8, 8, 0, 8, 8, 8, 8], [0, 8, 0, 8, 0, 0, 8, 0, 8, 8], [0, 0, 8, 8, 0, 0, 8, 0, 8, 8], [0, 8, 8, 0, 8, 0, 8, 8, 0, 0], [8, 8, 8, 0, 8, 8, 8, 0, 0, 8], [8, 0, 0, 0, 0, 8, 0, 0, 8, 8], [0, 0, 8, 0, 0, 8, 0, 0, 8, 8], [8, 8, 0, 0, 8, 0, 8, 8, 8, 0], [0, 0, 8, 8, 8, 0, 0, 0, 0, 8], [0, 4, 4, 4, 0, 4, 4, 4, 0, 0], [4, 0, 0, 0, 0, 4, 4, 4, 0, 4], [4, 4, 4, 0, 0, 4, 4, 4, 0, 0], [4, 4, 4, 0, 4, 4, 4, 4, 4, 0], [4, 4, 4, 4, 4, 4, 0, 0, 4, 0], [4, 4, 4, 4, 0, 0, 4, 4, 4, 4], [4, 4, 4, 4, 4, 0, 4, 4, 0, 0], [0, 0, 4, 4, 0, 0, 4, 4, 4, 4], [0, 0, 0, 0, 0, 4, 0, 4, 4, 0], [0, 4, 0, 0, 4, 4, 4, 4, 4, 4]] -> [[0, 0, 0, 6, 0, 0, 6, 6, 0, 0], [6, 0, 0, 0, 0, 0, 6, 6, 0, 6], [0, 6, 6, 0, 0, 0, 6, 6, 0, 0], [0, 6, 6, 0, 6, 0, 6, 0, 6, 0], [6, 6, 6, 6, 6, 0, 0, 0, 6, 0], [6, 6, 6, 6, 0, 0, 6, 6, 0, 6], [6, 6, 6, 0, 6, 0, 0, 6, 0, 0], [0, 0, 6, 6, 0, 0, 0, 0, 6, 6], [0, 0, 0, 0, 0, 0, 0, 6, 6, 0], [0, 6, 0, 0, 6, 0, 6, 6, 6, 6]]\nExample input-output arrays:\n[[0, 0, 0, 2, 0, 2, 2, 0, 2, 0], [2, 2, 0, 2, 0, 0, 0, 2, 0, 2], [2, 0, 2, 2, 2, 0, 2, 0, 0, 2], [2, 2, 2, 2, 0, 0, 2, 0, 2, 2], [2, 2, 0, 0, 2, 0, 0, 0, 2, 2], [2, 0, 2, 2, 0, 2, 0, 2, 0, 0], [2, 2, 0, 2, 2, 0, 2, 2, 0, 2], [2, 2, 2, 0, 0, 2, 2, 2, 0, 0], [2, 0, 2, 2, 0, 2, 2, 0, 2, 2], [2, 0, 2, 0, 0, 0, 0, 0, 0, 2], [1, 0, 0, 1, 1, 0, 0, 0, 0, 0], [1, 1, 0, 0, 1, 1, 0, 0, 0, 1], [1, 0, 1, 0, 0, 0, 0, 0, 1, 1], [1, 1, 0, 1, 1, 0, 1, 0, 1, 0], [0, 1, 1, 1, 1, 1, 0, 1, 0, 1], [1, 0, 0, 1, 0, 0, 1, 0, 0, 0], [0, 1, 1, 0, 1, 1, 1, 1, 0, 1], [1, 0, 1, 0, 1, 0, 0, 1, 0, 0], [1, 0, 1, 1, 1, 0, 1, 0, 1, 0], [1, 1, 0, 1, 0, 0, 0, 0, 0, 0], [0, 4, 0, 0, 0, 0, 4, 4, 4, 4], [4, 0, 4, 0, 4, 0, 4, 0, 0, 0], [0, 0, 4, 4, 4, 0, 4, 0, 0, 4], [4, 4, 4, 4, 0, 0, 4, 4, 4, 0], [4, 4, 4, 0, 4, 0, 4, 4, 0, 4], [0, 0, 4, 0, 0, 4, 4, 0, 4, 0], [4, 4, 4, 4, 4, 0, 0, 4, 0, 4], [0, 4, 0, 4, 4, 4, 4, 0, 0, 4], [4, 4, 0, 0, 4, 4, 0, 0, 0, 0], [0, 0, 0, 0, 4, 0, 0, 4, 4, 0]] -> [[0, 0, 0, 0, 0, 0, 6, 0, 6, 0], [6, 0, 0, 0, 6, 0, 0, 0, 0, 0], [0, 0, 6, 6, 6, 0, 6, 0, 0, 6], [6, 6, 6, 6, 0, 0, 6, 0, 6, 0], [6, 6, 6, 0, 6, 0, 0, 6, 0, 6], [0, 0, 6, 0, 0, 6, 6, 0, 0, 0], [6, 6, 6, 6, 6, 0, 0, 6, 0, 6], [0, 6, 0, 0, 6, 6, 6, 0, 0, 0], [6, 0, 0, 0, 6, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing the causal function for some elements.\n[[0, 2, 2, 0, 2, 0, 0, 0, 0, 2], [2, 0, 2, 2, 2, 2, 2, 2, 2, 2], [0, 2, 2, 0, 2, 0, 2, 2, 2, 0], [2, 0, 2, 0, 2, 0, 0, 0, 0, 0], [2, 0, 2, 0, 2, 0, 2, 0, 2, 0], [2, 2, 0, 0, 0, 0, 2, 2, 0, 2], [2, 2, 0, 0, 0, 0, 0, 0, 2, 2], [2, 2, 0, 0, 2, 0, 0, 2, 2, 2], [0, 0, 0, 2, 2, 2, 0, 0, 0, 2], [2, 0, 2, 2, 2, 0, 0, 0, 0, 2], [0, 1, 1, 0, 0, 1, 1, 1, 1, 1], [0, 0, 1, 1, 0, 0, 1, 1, 1, 0], [0, 1, 0, 1, 1, 1, 1, 1, 0, 0], [0, 0, 1, 0, 0, 1, 0, 1, 0, 1], [1, 0, 0, 0, 0, 0, 1, 0, 1, 0], [0, 1, 1, 0, 1, 1, 0, 1, 1, 1], [1, 0, 0, 1, 0, 0, 0, 0, 1, 0], [0, 1, 0, 1, 0, 1, 1, 0, 1, 1], [0, 1, 0, 0, 0, 1, 0, 1, 0, 1], [0, 0, 1, 0, 1, 1, 1, 1, 1, 1], [0, 4, 0, 4, 4, 4, 4, 0, 0, 0], [4, 4, 4, 4, 4, 0, 0, 4, 0, 4], [4, 0, 0, 0, 4, 0, 4, 0, 4, 4], [4, 0, 0, 4, 4, 0, 0, 4, 0, 0], [4, 4, 0, 4, 4, 0, 4, 4, 4, 0], [0, 0, 4, 4, 4, 0, 0, 4, 4, 0], [0, 4, 0, 0, 4, 0, 0, 4, 4, 4], [4, 4, 0, 0, 0, 0, 0, 0, 0, 4], [0, 0, 0, 4, 0, 4, 4, 0, 0, 0], [0, 4, 0, 4, 0, 4, 4, 4, 4, 4]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            0,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2
+                        ],
+                        [
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            0,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0
+                        ],
+                        [
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0
+                        ],
+                        [
+                            2,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            0,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2
+                        ],
+                        [
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2
+                        ],
+                        [
+                            0,
+                            1,
+                            1,
+                            0,
+                            0,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1
+                        ],
+                        [
+                            0,
+                            0,
+                            1,
+                            1,
+                            0,
+                            0,
+                            1,
+                            1,
+                            1,
+                            0
+                        ],
+                        [
+                            0,
+                            1,
+                            0,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            1,
+                            0,
+                            0,
+                            1,
+                            0,
+                            1,
+                            0,
+                            1
+                        ],
+                        [
+                            1,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            1,
+                            0,
+                            1,
+                            0
+                        ],
+                        [
+                            0,
+                            1,
+                            1,
+                            0,
+                            1,
+                            1,
+                            0,
+                            1,
+                            1,
+                            1
+                        ],
+                        [
+                            1,
+                            0,
+                            0,
+                            1,
+                            0,
+                            0,
+                            0,
+                            0,
+                            1,
+                            0
+                        ],
+                        [
+                            0,
+                            1,
+                            0,
+                            1,
+                            0,
+                            1,
+                            1,
+                            0,
+                            1,
+                            1
+                        ],
+                        [
+                            0,
+                            1,
+                            0,
+                            0,
+                            0,
+                            1,
+                            0,
+                            1,
+                            0,
+                            1
+                        ],
+                        [
+                            0,
+                            0,
+                            1,
+                            0,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1
+                        ],
+                        [
+                            0,
+                            4,
+                            0,
+                            4,
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            4,
+                            0,
+                            4
+                        ],
+                        [
+                            4,
+                            0,
+                            0,
+                            0,
+                            4,
+                            0,
+                            4,
+                            0,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            0,
+                            0,
+                            4,
+                            4,
+                            0,
+                            0,
+                            4,
+                            0,
+                            0
+                        ],
+                        [
+                            4,
+                            4,
+                            0,
+                            4,
+                            4,
+                            0,
+                            4,
+                            4,
+                            4,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            4,
+                            4,
+                            0
+                        ],
+                        [
+                            0,
+                            4,
+                            0,
+                            0,
+                            4,
+                            0,
+                            0,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            4
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            4,
+                            0,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            4,
+                            0,
+                            4,
+                            0,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4
+                        ]
+                    ],
+                    "output": [
+                        [
+                            0,
+                            6,
+                            0,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0
+                        ],
+                        [
+                            6,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0
+                        ],
+                        [
+                            6,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0,
+                            6,
+                            6,
+                            0
+                        ],
+                        [
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            6
+                        ]
+                    ]
+                }
+            },
+            "Replicate 2": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 0, 0, 2, 0, 2, 2, 0, 2, 0], [2, 2, 0, 2, 0, 0, 0, 2, 0, 2], [2, 0, 2, 2, 2, 0, 2, 0, 0, 2], [2, 2, 2, 2, 0, 0, 2, 0, 2, 2], [2, 2, 0, 0, 2, 0, 0, 0, 2, 2], [2, 0, 2, 2, 0, 2, 0, 2, 0, 0], [2, 2, 0, 2, 2, 0, 2, 2, 0, 2], [2, 2, 2, 0, 0, 2, 2, 2, 0, 0], [2, 0, 2, 2, 0, 2, 2, 0, 2, 2], [2, 0, 2, 0, 0, 0, 0, 0, 0, 2], [1, 0, 0, 1, 1, 0, 0, 0, 0, 0], [1, 1, 0, 0, 1, 1, 0, 0, 0, 1], [1, 0, 1, 0, 0, 0, 0, 0, 1, 1], [1, 1, 0, 1, 1, 0, 1, 0, 1, 0], [0, 1, 1, 1, 1, 1, 0, 1, 0, 1], [1, 0, 0, 1, 0, 0, 1, 0, 0, 0], [0, 1, 1, 0, 1, 1, 1, 1, 0, 1], [1, 0, 1, 0, 1, 0, 0, 1, 0, 0], [1, 0, 1, 1, 1, 0, 1, 0, 1, 0], [1, 1, 0, 1, 0, 0, 0, 0, 0, 0], [0, 4, 0, 0, 0, 0, 4, 4, 4, 4], [4, 0, 4, 0, 4, 0, 4, 0, 0, 0], [0, 0, 4, 4, 4, 0, 4, 0, 0, 4], [4, 4, 4, 4, 0, 0, 4, 4, 4, 0], [4, 4, 4, 0, 4, 0, 4, 4, 0, 4], [0, 0, 4, 0, 0, 4, 4, 0, 4, 0], [4, 4, 4, 4, 4, 0, 0, 4, 0, 4], [0, 4, 0, 4, 4, 4, 4, 0, 0, 4], [4, 4, 0, 0, 4, 4, 0, 0, 0, 0], [0, 0, 0, 0, 4, 0, 0, 4, 4, 0]] -> [[0, 0, 0, 0, 0, 0, 6, 0, 6, 0], [6, 0, 0, 0, 6, 0, 0, 0, 0, 0], [0, 0, 6, 6, 6, 0, 6, 0, 0, 6], [6, 6, 6, 6, 0, 0, 6, 0, 6, 0], [6, 6, 6, 0, 6, 0, 0, 6, 0, 6], [0, 0, 6, 0, 0, 6, 6, 0, 0, 0], [6, 6, 6, 6, 6, 0, 0, 6, 0, 6], [0, 6, 0, 0, 6, 6, 6, 0, 0, 0], [6, 0, 0, 0, 6, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [0, 0, 0, 0, 0, 0, 0, 0, 1, 1], [1, 1, 0, 0, 0, 1, 0, 1, 0, 0], [0, 1, 0, 1, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 1, 1, 1, 0, 0, 0], [1, 0, 1, 0, 1, 0, 1, 0, 0, 1], [0, 0, 1, 1, 0, 0, 0, 1, 1, 1], [0, 0, 1, 1, 1, 0, 0, 1, 1, 1], [1, 1, 0, 1, 0, 1, 1, 0, 0, 0], [0, 1, 0, 0, 0, 1, 1, 1, 1, 0], [0, 0, 1, 0, 1, 1, 0, 1, 1, 0], [4, 0, 0, 4, 4, 4, 4, 0, 4, 4], [4, 4, 4, 4, 0, 4, 4, 0, 0, 0], [4, 0, 0, 0, 0, 4, 0, 0, 0, 4], [4, 4, 4, 0, 0, 4, 0, 4, 4, 0], [0, 0, 0, 4, 4, 0, 4, 4, 0, 4], [4, 4, 4, 0, 0, 0, 0, 0, 4, 0], [4, 0, 0, 0, 0, 4, 4, 0, 0, 0], [0, 0, 4, 4, 0, 4, 0, 0, 0, 0], [0, 0, 4, 4, 0, 4, 0, 0, 0, 4], [4, 0, 4, 0, 4, 4, 4, 4, 0, 0]] -> [[6, 0, 0, 6, 6, 6, 6, 0, 6, 6], [6, 6, 6, 6, 0, 6, 6, 0, 0, 0], [6, 0, 0, 0, 0, 6, 0, 0, 0, 6], [6, 6, 6, 0, 0, 6, 0, 6, 6, 0], [0, 0, 0, 6, 6, 0, 6, 6, 0, 6], [6, 6, 6, 0, 0, 0, 0, 0, 6, 0], [6, 0, 0, 0, 0, 6, 6, 0, 0, 0], [0, 0, 6, 6, 0, 6, 0, 0, 0, 0], [0, 0, 6, 6, 0, 6, 0, 0, 0, 6], [6, 0, 6, 0, 6, 6, 6, 6, 0, 0]]\nExample input-output arrays:\n[[2, 2, 2, 2, 0, 2, 0, 2, 0, 2], [0, 2, 2, 2, 2, 2, 0, 0, 0, 0], [0, 2, 0, 2, 0, 0, 2, 0, 0, 2], [2, 2, 0, 0, 0, 0, 2, 2, 0, 0], [0, 2, 0, 0, 2, 0, 2, 2, 0, 0], [0, 2, 0, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 0, 0, 2, 2, 2, 2, 0], [0, 2, 2, 2, 0, 2, 0, 2, 2, 0], [0, 2, 0, 0, 0, 2, 2, 0, 0, 2], [2, 0, 2, 2, 0, 0, 0, 2, 2, 2], [1, 1, 1, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 1, 1, 1, 0, 1, 1, 1], [1, 1, 1, 0, 0, 0, 1, 1, 1, 0], [0, 1, 0, 0, 1, 0, 0, 0, 0, 1], [1, 1, 0, 0, 0, 0, 1, 1, 0, 0], [1, 0, 0, 1, 1, 1, 1, 0, 1, 1], [0, 1, 0, 0, 1, 1, 0, 1, 1, 0], [0, 0, 1, 1, 1, 0, 1, 1, 0, 1], [0, 0, 1, 1, 1, 1, 0, 1, 1, 1], [1, 1, 0, 0, 1, 0, 1, 1, 0, 0], [4, 4, 0, 4, 0, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 0, 0, 4, 4], [0, 4, 4, 0, 4, 0, 4, 0, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 4, 0, 0, 4, 4, 0, 0], [4, 4, 4, 0, 4, 4, 4, 0, 0, 4], [0, 4, 4, 4, 4, 0, 4, 4, 4, 4], [0, 4, 4, 4, 4, 0, 0, 4, 0, 4], [0, 4, 0, 4, 4, 4, 4, 4, 4, 0], [0, 4, 0, 4, 0, 0, 4, 0, 4, 4]] -> [[6, 6, 0, 6, 0, 6, 0, 6, 0, 6], [6, 6, 6, 6, 6, 6, 0, 0, 6, 6], [0, 6, 6, 0, 0, 0, 6, 0, 6, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 6, 0, 0], [6, 6, 0, 0, 6, 6, 6, 0, 0, 6], [0, 6, 6, 0, 6, 0, 6, 6, 6, 0], [0, 6, 6, 6, 6, 0, 0, 6, 0, 6], [0, 6, 0, 6, 6, 6, 6, 6, 6, 0], [0, 6, 0, 6, 0, 0, 6, 0, 6, 6]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 1, 1, 0, 0], [0, 0, 0, 1, 1, 1, 1, 1, 1, 1], [1, 0, 0, 0, 0, 0, 0, 1, 0, 0], [1, 0, 1, 1, 0, 0, 1, 1, 1, 0], [1, 1, 1, 0, 1, 1, 0, 0, 1, 1], [1, 1, 1, 0, 0, 1, 1, 1, 0, 1], [1, 1, 0, 0, 0, 1, 0, 1, 1, 1], [0, 1, 0, 1, 1, 0, 1, 0, 1, 1], [0, 0, 1, 1, 1, 1, 0, 1, 1, 1], [0, 0, 1, 0, 1, 1, 1, 0, 1, 0], [4, 4, 0, 0, 4, 4, 0, 4, 0, 0], [0, 0, 4, 4, 4, 4, 4, 0, 0, 0], [0, 4, 0, 4, 0, 4, 4, 0, 4, 4], [4, 0, 4, 4, 4, 4, 0, 0, 0, 0], [4, 4, 4, 4, 0, 0, 4, 0, 0, 4], [0, 4, 4, 0, 0, 4, 0, 0, 0, 4], [4, 0, 0, 4, 0, 4, 0, 0, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4], [0, 0, 4, 4, 4, 4, 0, 0, 0, 4], [4, 4, 4, 4, 0, 0, 0, 4, 0, 4]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            1,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            1,
+                            1,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1
+                        ],
+                        [
+                            1,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            1,
+                            0,
+                            0
+                        ],
+                        [
+                            1,
+                            0,
+                            1,
+                            1,
+                            0,
+                            0,
+                            1,
+                            1,
+                            1,
+                            0
+                        ],
+                        [
+                            1,
+                            1,
+                            1,
+                            0,
+                            1,
+                            1,
+                            0,
+                            0,
+                            1,
+                            1
+                        ],
+                        [
+                            1,
+                            1,
+                            1,
+                            0,
+                            0,
+                            1,
+                            1,
+                            1,
+                            0,
+                            1
+                        ],
+                        [
+                            1,
+                            1,
+                            0,
+                            0,
+                            0,
+                            1,
+                            0,
+                            1,
+                            1,
+                            1
+                        ],
+                        [
+                            0,
+                            1,
+                            0,
+                            1,
+                            1,
+                            0,
+                            1,
+                            0,
+                            1,
+                            1
+                        ],
+                        [
+                            0,
+                            0,
+                            1,
+                            1,
+                            1,
+                            1,
+                            0,
+                            1,
+                            1,
+                            1
+                        ],
+                        [
+                            0,
+                            0,
+                            1,
+                            0,
+                            1,
+                            1,
+                            1,
+                            0,
+                            1,
+                            0
+                        ],
+                        [
+                            4,
+                            4,
+                            0,
+                            0,
+                            4,
+                            4,
+                            0,
+                            4,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            4,
+                            0,
+                            4,
+                            0,
+                            4,
+                            4,
+                            0,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            0,
+                            4,
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            4,
+                            0,
+                            0,
+                            4
+                        ],
+                        [
+                            0,
+                            4,
+                            4,
+                            0,
+                            0,
+                            4,
+                            0,
+                            0,
+                            0,
+                            4
+                        ],
+                        [
+                            4,
+                            0,
+                            0,
+                            4,
+                            0,
+                            4,
+                            0,
+                            0,
+                            4,
+                            4
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            4
+                        ],
+                        [
+                            0,
+                            0,
+                            4,
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            4,
+                            0,
+                            4
+                        ]
+                    ],
+                    "output": [
+                        [
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            6,
+                            0,
+                            6,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            6
+                        ],
+                        [
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            6,
+                            6
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6
+                        ],
+                        [
+                            0,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            0,
+                            6
+                        ],
+                        [
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ]
+                    ]
+                }
+            },
+            "Replicate 3": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[2, 2, 2, 2, 0, 2, 0, 2, 0, 2], [0, 2, 2, 2, 2, 2, 0, 0, 0, 0], [0, 2, 0, 2, 0, 0, 2, 0, 0, 2], [2, 2, 0, 0, 0, 0, 2, 2, 0, 0], [0, 2, 0, 0, 2, 0, 2, 2, 0, 0], [0, 2, 0, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 0, 0, 2, 2, 2, 2, 0], [0, 2, 2, 2, 0, 2, 0, 2, 2, 0], [0, 2, 0, 0, 0, 2, 2, 0, 0, 2], [2, 0, 2, 2, 0, 0, 0, 2, 2, 2], [1, 1, 1, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 1, 1, 1, 0, 1, 1, 1], [1, 1, 1, 0, 0, 0, 1, 1, 1, 0], [0, 1, 0, 0, 1, 0, 0, 0, 0, 1], [1, 1, 0, 0, 0, 0, 1, 1, 0, 0], [1, 0, 0, 1, 1, 1, 1, 0, 1, 1], [0, 1, 0, 0, 1, 1, 0, 1, 1, 0], [0, 0, 1, 1, 1, 0, 1, 1, 0, 1], [0, 0, 1, 1, 1, 1, 0, 1, 1, 1], [1, 1, 0, 0, 1, 0, 1, 1, 0, 0], [4, 4, 0, 4, 0, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 0, 0, 4, 4], [0, 4, 4, 0, 4, 0, 4, 0, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 4, 0, 0, 4, 4, 0, 0], [4, 4, 4, 0, 4, 4, 4, 0, 0, 4], [0, 4, 4, 4, 4, 0, 4, 4, 4, 4], [0, 4, 4, 4, 4, 0, 0, 4, 0, 4], [0, 4, 0, 4, 4, 4, 4, 4, 4, 0], [0, 4, 0, 4, 0, 0, 4, 0, 4, 4]] -> [[6, 6, 0, 6, 0, 6, 0, 6, 0, 6], [6, 6, 6, 6, 6, 6, 0, 0, 6, 6], [0, 6, 6, 0, 0, 0, 6, 0, 6, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 6, 0, 0], [6, 6, 0, 0, 6, 6, 6, 0, 0, 6], [0, 6, 6, 0, 6, 0, 6, 6, 6, 0], [0, 6, 6, 6, 6, 0, 0, 6, 0, 6], [0, 6, 0, 6, 6, 6, 6, 6, 6, 0], [0, 6, 0, 6, 0, 0, 6, 0, 6, 6]]\nCounterfactual: Now imagine that we intervened on the previous input by changing the causal function for some elements.\n[[2, 0, 0, 0, 2, 2, 0, 0, 2, 0], [2, 0, 2, 0, 0, 0, 0, 0, 2, 2], [2, 2, 2, 0, 2, 2, 2, 2, 0, 2], [0, 0, 0, 0, 2, 0, 0, 0, 2, 0], [2, 0, 2, 0, 0, 0, 0, 2, 0, 0], [2, 0, 0, 2, 2, 2, 0, 0, 2, 2], [0, 0, 0, 2, 2, 0, 0, 0, 0, 2], [0, 2, 2, 0, 2, 0, 2, 0, 0, 2], [0, 2, 2, 2, 0, 0, 0, 2, 0, 0], [2, 2, 2, 0, 2, 0, 2, 2, 2, 0], [0, 0, 0, 1, 1, 1, 1, 1, 1, 1], [0, 1, 1, 0, 0, 0, 1, 0, 0, 0], [0, 0, 0, 1, 1, 1, 0, 0, 0, 1], [1, 0, 1, 1, 0, 1, 1, 1, 1, 0], [0, 0, 1, 1, 1, 1, 0, 0, 1, 1], [0, 1, 1, 0, 0, 0, 0, 1, 0, 0], [1, 0, 1, 1, 0, 0, 1, 0, 0, 1], [1, 1, 0, 0, 0, 1, 0, 0, 1, 0], [1, 1, 0, 0, 0, 0, 1, 0, 0, 0], [0, 0, 1, 1, 0, 1, 0, 0, 1, 1], [4, 4, 0, 0, 4, 4, 4, 4, 0, 0], [4, 4, 4, 0, 4, 0, 0, 0, 4, 0], [0, 0, 0, 0, 0, 0, 4, 4, 4, 0], [4, 0, 4, 4, 0, 0, 0, 0, 0, 4], [4, 0, 4, 0, 0, 0, 0, 0, 4, 4], [4, 0, 4, 0, 4, 0, 4, 0, 4, 0], [0, 4, 0, 4, 4, 0, 0, 4, 4, 0], [0, 0, 0, 0, 4, 4, 0, 0, 4, 4], [4, 0, 4, 4, 0, 0, 0, 0, 4, 0], [4, 0, 4, 4, 0, 4, 4, 0, 0, 4]] -> [[6, 0, 0, 0, 6, 6, 6, 6, 0, 0], [6, 6, 6, 0, 0, 0, 0, 0, 6, 0], [0, 0, 0, 0, 0, 0, 6, 6, 0, 0], [6, 0, 6, 6, 0, 0, 0, 0, 0, 0], [6, 0, 6, 0, 0, 0, 0, 0, 6, 6], [6, 0, 6, 0, 6, 0, 0, 0, 6, 0], [0, 0, 0, 6, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 6, 6, 0, 0, 6, 6], [6, 0, 6, 6, 0, 0, 0, 0, 0, 0], [6, 0, 6, 6, 0, 6, 6, 0, 0, 6]]\nExample input-output arrays:\n[[0, 0, 0, 2, 0, 2, 2, 0, 2, 0], [2, 2, 0, 2, 0, 0, 0, 2, 0, 2], [2, 0, 2, 2, 2, 0, 2, 0, 0, 2], [2, 2, 2, 2, 0, 0, 2, 0, 2, 2], [2, 2, 0, 0, 2, 0, 0, 0, 2, 2], [2, 0, 2, 2, 0, 2, 0, 2, 0, 0], [2, 2, 0, 2, 2, 0, 2, 2, 0, 2], [2, 2, 2, 0, 0, 2, 2, 2, 0, 0], [2, 0, 2, 2, 0, 2, 2, 0, 2, 2], [2, 0, 2, 0, 0, 0, 0, 0, 0, 2], [1, 0, 0, 1, 1, 0, 0, 0, 0, 0], [1, 1, 0, 0, 1, 1, 0, 0, 0, 1], [1, 0, 1, 0, 0, 0, 0, 0, 1, 1], [1, 1, 0, 1, 1, 0, 1, 0, 1, 0], [0, 1, 1, 1, 1, 1, 0, 1, 0, 1], [1, 0, 0, 1, 0, 0, 1, 0, 0, 0], [0, 1, 1, 0, 1, 1, 1, 1, 0, 1], [1, 0, 1, 0, 1, 0, 0, 1, 0, 0], [1, 0, 1, 1, 1, 0, 1, 0, 1, 0], [1, 1, 0, 1, 0, 0, 0, 0, 0, 0], [0, 4, 0, 0, 0, 0, 4, 4, 4, 4], [4, 0, 4, 0, 4, 0, 4, 0, 0, 0], [0, 0, 4, 4, 4, 0, 4, 0, 0, 4], [4, 4, 4, 4, 0, 0, 4, 4, 4, 0], [4, 4, 4, 0, 4, 0, 4, 4, 0, 4], [0, 0, 4, 0, 0, 4, 4, 0, 4, 0], [4, 4, 4, 4, 4, 0, 0, 4, 0, 4], [0, 4, 0, 4, 4, 4, 4, 0, 0, 4], [4, 4, 0, 0, 4, 4, 0, 0, 0, 0], [0, 0, 0, 0, 4, 0, 0, 4, 4, 0]] -> [[0, 0, 0, 0, 0, 0, 6, 0, 6, 0], [6, 0, 0, 0, 6, 0, 0, 0, 0, 0], [0, 0, 6, 6, 6, 0, 6, 0, 0, 6], [6, 6, 6, 6, 0, 0, 6, 0, 6, 0], [6, 6, 6, 0, 6, 0, 0, 6, 0, 6], [0, 0, 6, 0, 0, 6, 6, 0, 0, 0], [6, 6, 6, 6, 6, 0, 0, 6, 0, 6], [0, 6, 0, 0, 6, 6, 6, 0, 0, 0], [6, 0, 0, 0, 6, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 0, 0, 2, 0, 2, 2, 0, 2, 0], [2, 2, 0, 2, 0, 0, 0, 2, 0, 2], [2, 0, 2, 2, 2, 0, 2, 0, 0, 2], [2, 2, 2, 2, 0, 0, 2, 0, 2, 2], [2, 2, 0, 0, 2, 0, 0, 0, 2, 2], [2, 0, 2, 2, 0, 2, 0, 2, 0, 0], [2, 2, 0, 2, 2, 0, 2, 2, 0, 2], [2, 2, 2, 0, 0, 2, 2, 2, 0, 0], [2, 0, 2, 2, 0, 2, 2, 0, 2, 2], [2, 0, 2, 0, 0, 0, 0, 0, 0, 2], [7, 0, 0, 7, 7, 0, 0, 0, 0, 0], [7, 7, 0, 0, 7, 7, 0, 0, 0, 7], [7, 0, 7, 0, 0, 0, 0, 0, 7, 7], [7, 7, 0, 7, 7, 0, 7, 0, 7, 0], [0, 7, 7, 7, 7, 7, 0, 7, 0, 7], [7, 0, 0, 7, 0, 0, 7, 0, 0, 0], [0, 7, 7, 0, 7, 7, 7, 7, 0, 7], [7, 0, 7, 0, 7, 0, 0, 7, 0, 0], [7, 0, 7, 7, 7, 0, 7, 0, 7, 0], [7, 7, 0, 7, 0, 0, 0, 0, 0, 0], [0, 4, 0, 0, 0, 0, 4, 4, 4, 4], [4, 0, 4, 0, 4, 0, 4, 0, 0, 0], [0, 0, 4, 4, 4, 0, 4, 0, 0, 4], [4, 4, 4, 4, 0, 0, 4, 4, 4, 0], [4, 4, 4, 0, 4, 0, 4, 4, 0, 4], [0, 0, 4, 0, 0, 4, 4, 0, 4, 0], [4, 4, 4, 4, 4, 0, 0, 4, 0, 4], [0, 4, 0, 4, 4, 4, 4, 0, 0, 4], [4, 4, 0, 0, 4, 4, 0, 0, 0, 0], [0, 0, 0, 0, 4, 0, 0, 4, 4, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0
+                        ],
+                        [
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            0,
+                            2
+                        ],
+                        [
+                            2,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            0,
+                            2,
+                            2,
+                            0,
+                            2,
+                            0,
+                            2,
+                            0,
+                            0
+                        ],
+                        [
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            0,
+                            2
+                        ],
+                        [
+                            2,
+                            2,
+                            2,
+                            0,
+                            0,
+                            2,
+                            2,
+                            2,
+                            0,
+                            0
+                        ],
+                        [
+                            2,
+                            0,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2,
+                            0,
+                            2,
+                            2
+                        ],
+                        [
+                            2,
+                            0,
+                            2,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2
+                        ],
+                        [
+                            7,
+                            0,
+                            0,
+                            7,
+                            7,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            7,
+                            7,
+                            0,
+                            0,
+                            7,
+                            7,
+                            0,
+                            0,
+                            0,
+                            7
+                        ],
+                        [
+                            7,
+                            0,
+                            7,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            7,
+                            7
+                        ],
+                        [
+                            7,
+                            7,
+                            0,
+                            7,
+                            7,
+                            0,
+                            7,
+                            0,
+                            7,
+                            0
+                        ],
+                        [
+                            0,
+                            7,
+                            7,
+                            7,
+                            7,
+                            7,
+                            0,
+                            7,
+                            0,
+                            7
+                        ],
+                        [
+                            7,
+                            0,
+                            0,
+                            7,
+                            0,
+                            0,
+                            7,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            7,
+                            7,
+                            0,
+                            7,
+                            7,
+                            7,
+                            7,
+                            0,
+                            7
+                        ],
+                        [
+                            7,
+                            0,
+                            7,
+                            0,
+                            7,
+                            0,
+                            0,
+                            7,
+                            0,
+                            0
+                        ],
+                        [
+                            7,
+                            0,
+                            7,
+                            7,
+                            7,
+                            0,
+                            7,
+                            0,
+                            7,
+                            0
+                        ],
+                        [
+                            7,
+                            7,
+                            0,
+                            7,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0,
+                            4,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            0,
+                            4,
+                            0,
+                            4,
+                            0,
+                            4,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            4,
+                            4,
+                            4,
+                            0,
+                            4,
+                            0,
+                            0,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            4,
+                            4,
+                            4,
+                            0
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            0,
+                            4,
+                            0,
+                            4,
+                            4,
+                            0,
+                            4
+                        ],
+                        [
+                            0,
+                            0,
+                            4,
+                            0,
+                            0,
+                            4,
+                            4,
+                            0,
+                            4,
+                            0
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            4,
+                            0,
+                            4
+                        ],
+                        [
+                            0,
+                            4,
+                            0,
+                            4,
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            0,
+                            0,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            4,
+                            0,
+                            0,
+                            4,
+                            4,
+                            0
+                        ]
+                    ],
+                    "output": [
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0
+                        ],
+                        [
+                            6,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0,
+                            6
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            0
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            0,
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6
+                        ],
+                        [
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            6,
+                            6,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            6,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            0,
+                            0,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            6,
+                            0,
+                            0,
+                            0,
+                            6,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ]
+                    ]
+                }
+            },
+            "Replicate 4": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[2, 2, 0, 0, 0, 0, 2, 0, 2, 0], [2, 0, 2, 2, 2, 2, 0, 0, 2, 0], [2, 2, 0, 0, 2, 2, 0, 0, 2, 0], [0, 2, 0, 2, 2, 0, 0, 0, 0, 0], [2, 0, 0, 0, 2, 0, 0, 2, 2, 0], [2, 2, 2, 0, 2, 2, 2, 2, 2, 0], [2, 2, 0, 2, 2, 0, 2, 2, 0, 2], [0, 0, 2, 2, 0, 2, 2, 0, 0, 2], [0, 2, 2, 0, 2, 0, 0, 2, 2, 2], [0, 2, 0, 2, 2, 2, 2, 2, 2, 0], [1, 0, 0, 0, 1, 1, 1, 0, 1, 1], [1, 0, 1, 1, 0, 1, 1, 0, 1, 0], [0, 0, 1, 0, 1, 1, 0, 1, 1, 0], [0, 0, 0, 1, 1, 1, 1, 1, 0, 0], [0, 0, 1, 1, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 1, 1, 0, 0, 0, 1], [1, 0, 0, 0, 0, 0, 1, 0, 0, 0], [1, 1, 0, 1, 1, 0, 0, 1, 0, 1], [1, 0, 0, 1, 0, 1, 0, 0, 0, 1], [1, 0, 1, 0, 1, 0, 0, 0, 0, 1], [4, 4, 4, 0, 0, 0, 4, 4, 4, 4], [4, 4, 0, 4, 4, 0, 4, 4, 0, 0], [0, 4, 4, 0, 4, 0, 0, 4, 0, 0], [0, 4, 4, 0, 0, 4, 0, 0, 4, 0], [4, 0, 0, 4, 4, 4, 4, 4, 4, 4], [0, 0, 4, 0, 0, 0, 4, 4, 4, 4], [0, 4, 0, 0, 4, 0, 0, 0, 0, 4], [4, 0, 0, 4, 0, 0, 4, 4, 4, 4], [0, 0, 4, 4, 0, 0, 4, 4, 0, 0], [0, 0, 4, 0, 4, 4, 0, 4, 0, 4]] -> [[6, 6, 0, 0, 0, 0, 6, 0, 6, 6], [6, 0, 0, 6, 6, 0, 6, 0, 0, 0], [0, 6, 6, 0, 6, 0, 0, 6, 0, 0], [0, 6, 0, 0, 0, 6, 0, 0, 0, 0], [6, 0, 0, 6, 6, 0, 0, 6, 6, 0], [0, 0, 6, 0, 0, 0, 6, 6, 6, 6], [0, 6, 0, 0, 6, 0, 0, 0, 0, 6], [6, 0, 0, 6, 0, 0, 6, 6, 0, 6], [0, 0, 6, 6, 0, 0, 0, 6, 0, 0], [0, 0, 6, 0, 6, 6, 0, 6, 0, 6]]\nCounterfactual: Now imagine that we intervened on the previous input by changing the causal function for some elements.\n[[0, 0, 2, 2, 2, 2, 2, 2, 0, 2], [0, 2, 2, 0, 0, 0, 0, 0, 0, 2], [2, 2, 2, 0, 2, 2, 2, 0, 0, 0], [2, 2, 2, 2, 2, 0, 0, 2, 2, 0], [2, 2, 0, 0, 0, 2, 2, 0, 0, 0], [2, 2, 2, 2, 2, 0, 2, 0, 2, 2], [0, 2, 2, 0, 0, 0, 2, 0, 0, 2], [0, 2, 2, 2, 2, 0, 0, 0, 2, 0], [2, 2, 2, 2, 0, 0, 0, 2, 2, 2], [0, 2, 2, 0, 0, 0, 2, 0, 0, 0], [0, 1, 1, 1, 0, 0, 0, 1, 0, 0], [0, 1, 0, 0, 1, 0, 0, 1, 0, 1], [1, 1, 0, 1, 0, 0, 1, 0, 0, 1], [1, 1, 1, 0, 0, 0, 0, 0, 1, 1], [1, 1, 0, 0, 1, 1, 1, 1, 0, 1], [1, 1, 1, 1, 0, 0, 1, 1, 1, 0], [0, 1, 1, 1, 1, 1, 0, 1, 1, 1], [0, 0, 1, 0, 0, 1, 1, 0, 1, 0], [0, 1, 1, 0, 1, 0, 1, 1, 1, 0], [0, 1, 0, 1, 0, 1, 1, 1, 1, 0], [0, 4, 4, 4, 4, 0, 4, 0, 4, 4], [0, 0, 4, 4, 4, 0, 4, 0, 0, 4], [0, 4, 0, 4, 0, 4, 4, 4, 0, 0], [0, 0, 4, 0, 4, 4, 4, 4, 4, 4], [4, 4, 4, 0, 0, 4, 4, 4, 0, 0], [4, 4, 4, 4, 0, 0, 0, 0, 0, 4], [0, 0, 4, 4, 0, 4, 0, 0, 0, 4], [4, 4, 0, 0, 4, 4, 4, 0, 0, 4], [0, 0, 4, 4, 4, 4, 4, 4, 0, 0], [4, 0, 0, 4, 4, 4, 4, 4, 4, 4]] -> [[0, 6, 6, 6, 6, 0, 6, 0, 0, 6], [0, 0, 6, 0, 6, 0, 0, 0, 0, 6], [0, 6, 0, 6, 0, 6, 6, 0, 0, 0], [0, 0, 6, 0, 6, 0, 0, 6, 6, 6], [6, 6, 0, 0, 0, 6, 6, 6, 0, 0], [6, 6, 6, 6, 0, 0, 0, 0, 0, 6], [0, 0, 6, 6, 0, 6, 0, 0, 0, 6], [0, 6, 0, 0, 6, 6, 6, 0, 0, 0], [0, 0, 6, 6, 6, 0, 6, 6, 0, 0], [0, 0, 0, 6, 0, 6, 6, 6, 6, 0]]\nExample input-output arrays:\n[[2, 0, 0, 0, 0, 0, 2, 2, 0, 2], [0, 0, 0, 2, 2, 0, 2, 2, 0, 2], [0, 2, 2, 2, 0, 0, 0, 2, 2, 0], [0, 2, 0, 2, 2, 0, 0, 0, 0, 0], [2, 0, 0, 2, 0, 0, 0, 0, 2, 2], [2, 2, 0, 2, 0, 0, 0, 2, 0, 0], [0, 2, 2, 0, 2, 2, 0, 2, 2, 0], [0, 0, 2, 2, 2, 2, 0, 0, 0, 2], [2, 2, 0, 2, 2, 0, 2, 0, 0, 2], [0, 2, 2, 2, 2, 0, 2, 2, 2, 0], [1, 0, 0, 1, 1, 0, 0, 1, 0, 1], [1, 0, 0, 1, 1, 0, 1, 1, 1, 1], [0, 1, 0, 1, 0, 0, 1, 0, 1, 1], [0, 0, 1, 1, 0, 0, 1, 0, 1, 1], [0, 1, 1, 0, 1, 0, 1, 1, 0, 0], [1, 1, 1, 0, 1, 1, 1, 0, 0, 1], [1, 0, 0, 0, 0, 1, 0, 0, 1, 1], [0, 0, 1, 0, 0, 1, 0, 0, 1, 1], [1, 1, 0, 0, 1, 0, 1, 1, 1, 0], [0, 0, 1, 1, 1, 0, 0, 0, 0, 1], [0, 4, 4, 4, 0, 4, 4, 4, 0, 0], [4, 0, 0, 0, 0, 4, 4, 4, 0, 4], [4, 4, 4, 0, 0, 4, 4, 4, 0, 0], [4, 4, 4, 0, 4, 4, 4, 4, 4, 0], [4, 4, 4, 4, 4, 4, 0, 0, 4, 0], [4, 4, 4, 4, 0, 0, 4, 4, 4, 4], [4, 4, 4, 4, 4, 0, 4, 4, 0, 0], [0, 0, 4, 4, 0, 0, 4, 4, 4, 4], [0, 0, 0, 0, 0, 4, 0, 4, 4, 0], [0, 4, 0, 0, 4, 4, 4, 4, 4, 4]] -> [[0, 0, 0, 6, 0, 0, 6, 6, 0, 0], [6, 0, 0, 0, 0, 0, 6, 6, 0, 6], [0, 6, 6, 0, 0, 0, 6, 6, 0, 0], [0, 6, 6, 0, 6, 0, 6, 0, 6, 0], [6, 6, 6, 6, 6, 0, 0, 0, 6, 0], [6, 6, 6, 6, 0, 0, 6, 6, 0, 6], [6, 6, 6, 0, 6, 0, 0, 6, 0, 0], [0, 0, 6, 6, 0, 0, 0, 0, 6, 6], [0, 0, 0, 0, 0, 0, 0, 6, 6, 0], [0, 6, 0, 0, 6, 0, 6, 6, 6, 6]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 1, 1, 0, 0, 0, 0, 1], [1, 0, 0, 0, 1, 0, 0, 1, 1, 1], [1, 1, 1, 1, 0, 1, 0, 1, 0, 0], [1, 0, 1, 0, 1, 1, 1, 0, 0, 1], [0, 1, 1, 1, 1, 0, 1, 0, 0, 0], [0, 1, 1, 0, 1, 1, 0, 1, 1, 1], [1, 1, 0, 0, 1, 0, 0, 1, 1, 1], [0, 1, 0, 0, 1, 0, 1, 1, 1, 1], [1, 1, 1, 0, 0, 1, 0, 1, 1, 0], [1, 0, 1, 0, 1, 1, 0, 0, 0, 1], [4, 0, 4, 4, 0, 0, 0, 0, 0, 4], [4, 4, 4, 0, 0, 0, 0, 0, 0, 0], [0, 0, 4, 4, 4, 0, 4, 4, 4, 4], [0, 0, 4, 0, 0, 4, 0, 0, 4, 0], [0, 0, 4, 0, 0, 0, 0, 0, 0, 0], [0, 4, 0, 0, 0, 0, 0, 0, 0, 0], [0, 4, 0, 0, 4, 0, 0, 4, 4, 4], [4, 4, 4, 4, 4, 4, 0, 0, 0, 0], [4, 0, 4, 4, 0, 4, 0, 4, 4, 0], [0, 0, 0, 4, 0, 4, 0, 4, 4, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            0,
+                            0,
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+                            0,
+                            0,
+                            0,
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+                        ],
+                        [
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+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
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+                        [
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+                            0,
+                            0,
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+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
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+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
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+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
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+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
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+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
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+                        ],
+                        [
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+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
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+                        ],
+                        [
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+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
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+                        ],
+                        [
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+                            0,
+                            0,
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+                            0,
+                            0,
+                            0,
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+                        [
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+                            1,
+                            1,
+                            0,
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+                            0,
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+                        [
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+                            0,
+                            1,
+                            0,
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+                            1,
+                            1,
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+                        [
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+                            1,
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+                            1,
+                            0,
+                            1,
+                            0,
+                            0
+                        ],
+                        [
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+                            1,
+                            0,
+                            1,
+                            1,
+                            1,
+                            0,
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+                            1
+                        ],
+                        [
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+                            1,
+                            1,
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+                            1,
+                            0,
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+                        ],
+                        [
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+                            1,
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+                        [
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+                        [
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+                            1,
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+                            0,
+                            1,
+                            0,
+                            1,
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+                        ],
+                        [
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+                            1,
+                            0,
+                            1,
+                            1,
+                            0,
+                            0,
+                            0,
+                            1
+                        ],
+                        [
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+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
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+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
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+                            0,
+                            4,
+                            4,
+                            4,
+                            0,
+                            4,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
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+                            0,
+                            4,
+                            0,
+                            0,
+                            4,
+                            0,
+                            0,
+                            4,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
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+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
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+                        ],
+                        [
+                            0,
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+                            0,
+                            0,
+                            4,
+                            0,
+                            0,
+                            4,
+                            4,
+                            4
+                        ],
+                        [
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            4,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
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+                            4,
+                            4,
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+                            4,
+                            0,
+                            4,
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+                        [
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+                            4,
+                            0,
+                            4,
+                            0,
+                            4,
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+                        ]
+                    ],
+                    "output": [
+                        [
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
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+                        ],
+                        [
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+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
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+                            6,
+                            6,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            6,
+                            6,
+                            6
+                        ],
+                        [
+                            0,
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            6,
+                            0,
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            0
+                        ]
+                    ]
+                }
+            }
+        }
+    },
+    "SCMtcbq!or!and!15x15": {
+        "L1": {
+            "Replicate 0": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1], [1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1], [0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1], [1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1], [0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1], [1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0], [0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1], [1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0], [0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0], [0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1], [0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1], [0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1], [1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1], [0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0], [1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1], [5, 0, 5, 5, 5, 0, 5, 5, 0, 5, 5, 5, 5, 0, 5], [5, 0, 0, 5, 0, 5, 5, 5, 5, 0, 0, 5, 5, 0, 0], [0, 5, 0, 0, 5, 5, 5, 5, 0, 5, 0, 5, 0, 0, 0], [5, 5, 5, 0, 0, 5, 0, 5, 0, 5, 0, 0, 5, 5, 5], [5, 5, 0, 0, 5, 5, 0, 5, 0, 0, 0, 5, 0, 5, 0], [5, 0, 5, 0, 5, 5, 5, 0, 0, 0, 0, 0, 5, 0, 0], [5, 5, 0, 0, 0, 5, 5, 0, 0, 0, 0, 5, 0, 5, 0], [0, 5, 0, 0, 5, 0, 5, 5, 5, 5, 5, 0, 0, 5, 0], [0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0], [0, 0, 5, 5, 0, 0, 5, 5, 0, 0, 0, 5, 0, 5, 0], [0, 5, 5, 5, 0, 5, 5, 5, 0, 0, 5, 0, 5, 5, 5], [5, 5, 0, 5, 0, 0, 5, 5, 0, 0, 0, 5, 5, 5, 5], [0, 0, 0, 5, 5, 0, 0, 0, 5, 0, 5, 5, 5, 0, 0], [0, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0, 5, 0, 5, 5], [5, 5, 5, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 5, 5], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0], [0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2], [2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0], [0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0], [2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2], [2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0], [0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0], [0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2], [2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2], [0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0], [0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2], [2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2], [2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0]] -> [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0], [0, 0, 3, 0, 0, 3, 3, 0, 0, 3, 0, 0, 0, 3, 3], [3, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0], [0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0], [3, 0, 0, 3, 0, 0, 3, 0, 0, 0, 3, 0, 3, 3, 0], [3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 3, 0, 3, 0], [0, 3, 0, 0, 3, 3, 3, 3, 3, 3, 0, 0, 0, 3, 0], [0, 0, 3, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 3, 0], [0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3], [0, 3, 3, 3, 0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0], [0, 3, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 3, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 3, 0, 0, 3, 3], [0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3], [3, 3, 3, 0, 0, 3, 0, 0, 0, 3, 3, 0, 0, 3, 0]]\nExample input-output arrays:\n[[1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1], [0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0], [1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1], [1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0], [1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0], [1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1], [1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1], [0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1], [0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1], [1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0], [1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1], [0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1], [0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0], [1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0], [0, 5, 0, 5, 5, 5, 5, 0, 0, 5, 0, 5, 0, 0, 0], [5, 0, 0, 5, 0, 5, 0, 5, 5, 0, 0, 5, 5, 5, 0], [0, 0, 5, 5, 0, 5, 0, 0, 0, 0, 0, 5, 5, 0, 5], [0, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 5, 5, 0, 5], [0, 0, 5, 5, 5, 5, 0, 5, 5, 5, 5, 0, 0, 5, 0], [0, 5, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 5], [0, 5, 0, 5, 0, 5, 5, 0, 0, 5, 0, 5, 0, 0, 0], [0, 0, 0, 0, 0, 0, 5, 0, 5, 0, 0, 5, 5, 0, 5], [0, 5, 0, 0, 5, 5, 0, 5, 5, 0, 0, 5, 5, 5, 5], [0, 5, 0, 5, 5, 5, 0, 5, 5, 0, 0, 0, 5, 5, 0], [5, 5, 0, 0, 5, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5], [5, 0, 0, 5, 5, 0, 0, 5, 5, 0, 5, 5, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 5, 0, 0, 0], [0, 0, 5, 0, 5, 0, 5, 0, 0, 0, 0, 0, 5, 0, 5], [5, 0, 0, 5, 5, 0, 5, 0, 5, 5, 0, 0, 5, 5, 5], [2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0], [2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0], [2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2], [2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0], [2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2], [0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2], [0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0], [0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2], [2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2], [2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0], [2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0], [2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2], [0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2], [2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0], [0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0]] -> [[3, 3, 0, 3, 0, 3, 0, 0, 3, 3, 3, 0, 0, 0, 0], [3, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 0], [3, 0, 3, 3, 0, 3, 0, 0, 0, 0, 0, 3, 0, 0, 3], [3, 3, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 0], [3, 3, 0, 3, 3, 0, 3, 0, 0, 3, 0, 3, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 3, 0, 0, 3], [0, 3, 3, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 3, 0], [0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 0, 3, 3, 0, 3], [0, 3, 0, 0, 3, 3, 0, 0, 3, 0, 3, 0, 0, 3, 3], [3, 0, 0, 0, 3, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0], [3, 0, 3, 0, 3, 0, 0, 3, 0, 0, 3, 0, 3, 0, 0], [3, 3, 0, 3, 0, 0, 3, 3, 3, 0, 3, 0, 3, 0, 3], [0, 0, 3, 0, 0, 0, 0, 3, 3, 0, 3, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 3, 0, 0], [0, 0, 0, 3, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0]]\nExample input-output arrays:\n[[0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1], [1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1], [0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1], [1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1], [0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1], [1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0], [0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1], [1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0], [0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0], [0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1], [0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1], [0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1], [1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1], [0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0], [1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1], [5, 0, 5, 5, 5, 0, 5, 5, 0, 5, 5, 5, 5, 0, 5], [5, 0, 0, 5, 0, 5, 5, 5, 5, 0, 0, 5, 5, 0, 0], [0, 5, 0, 0, 5, 5, 5, 5, 0, 5, 0, 5, 0, 0, 0], [5, 5, 5, 0, 0, 5, 0, 5, 0, 5, 0, 0, 5, 5, 5], [5, 5, 0, 0, 5, 5, 0, 5, 0, 0, 0, 5, 0, 5, 0], [5, 0, 5, 0, 5, 5, 5, 0, 0, 0, 0, 0, 5, 0, 0], [5, 5, 0, 0, 0, 5, 5, 0, 0, 0, 0, 5, 0, 5, 0], [0, 5, 0, 0, 5, 0, 5, 5, 5, 5, 5, 0, 0, 5, 0], [0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0], [0, 0, 5, 5, 0, 0, 5, 5, 0, 0, 0, 5, 0, 5, 0], [0, 5, 5, 5, 0, 5, 5, 5, 0, 0, 5, 0, 5, 5, 5], [5, 5, 0, 5, 0, 0, 5, 5, 0, 0, 0, 5, 5, 5, 5], [0, 0, 0, 5, 5, 0, 0, 0, 5, 0, 5, 5, 5, 0, 0], [0, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0, 5, 0, 5, 5], [5, 5, 5, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 5, 5], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0], [0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2], [2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0], [0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0], [2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2], [2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0], [0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0], [0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2], [2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2], [0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0], [0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2], [2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2], [2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0]] -> [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0], [0, 0, 3, 0, 0, 3, 3, 0, 0, 3, 0, 0, 0, 3, 3], [3, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0], [0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0], [3, 0, 0, 3, 0, 0, 3, 0, 0, 0, 3, 0, 3, 3, 0], [3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 3, 0, 3, 0], [0, 3, 0, 0, 3, 3, 3, 3, 3, 3, 0, 0, 0, 3, 0], [0, 0, 3, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 3, 0], [0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3], [0, 3, 3, 3, 0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0], [0, 3, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 3, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 3, 0, 0, 3, 3], [0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3], [3, 3, 3, 0, 0, 3, 0, 0, 0, 3, 3, 0, 0, 3, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing the causal function for some elements.\n[[0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1], [0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0], [0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1], [1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1], [0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0], [1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0], [0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1], [1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1], [0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0], [0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1], [1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1], [0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1], [1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0], [1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0], [0, 5, 0, 0, 0, 5, 0, 0, 5, 0, 0, 0, 0, 5, 0], [0, 5, 5, 0, 5, 0, 0, 0, 0, 5, 5, 0, 0, 5, 5], [5, 0, 5, 5, 0, 0, 0, 0, 5, 0, 5, 0, 5, 5, 5], [0, 0, 0, 5, 5, 0, 5, 0, 5, 0, 5, 5, 0, 0, 0], [0, 0, 5, 5, 0, 0, 5, 0, 5, 5, 5, 0, 5, 0, 5], [0, 5, 0, 5, 0, 0, 0, 5, 5, 5, 5, 5, 0, 5, 5], [0, 0, 5, 5, 5, 0, 0, 5, 5, 5, 5, 0, 5, 0, 5], [5, 0, 5, 5, 0, 5, 0, 0, 0, 0, 0, 5, 5, 0, 5], [5, 5, 5, 0, 5, 5, 5, 0, 5, 5, 5, 0, 5, 5, 5], [5, 5, 0, 0, 5, 5, 0, 0, 5, 5, 5, 0, 5, 0, 5], [5, 0, 0, 0, 5, 0, 0, 0, 5, 5, 0, 5, 0, 0, 0], [0, 0, 5, 0, 5, 5, 0, 0, 5, 5, 5, 0, 0, 0, 0], [5, 5, 5, 0, 0, 5, 5, 5, 0, 5, 0, 0, 0, 5, 5], [5, 5, 0, 5, 5, 5, 5, 5, 5, 0, 5, 0, 5, 0, 0], [0, 0, 0, 5, 5, 5, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2], [2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2], [2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2], [2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0], [0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0], [0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0], [0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0], [0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0], [2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0], [0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2], [2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0], [2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0], [0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2], [2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2]] -> ",
+                "test": {
+                    "input": [
+                        [
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+            },
+            "Replicate 1": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1], [0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1], [1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0], [0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0], [1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0], [1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1], [0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1], [0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0], [0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1], [0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0], [1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1], [1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1], [1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0], [0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0], [1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0], [5, 5, 5, 0, 5, 0, 5, 0, 5, 0, 0, 5, 5, 0, 0], [5, 0, 5, 0, 5, 0, 0, 5, 5, 0, 5, 0, 5, 0, 0], [5, 5, 5, 5, 0, 5, 5, 0, 0, 5, 0, 5, 0, 5, 5], [5, 5, 5, 5, 0, 5, 0, 0, 0, 0, 5, 0, 0, 5, 5], [0, 5, 5, 5, 5, 0, 0, 5, 5, 0, 5, 0, 0, 0, 0], [0, 5, 5, 0, 5, 5, 5, 5, 0, 0, 5, 5, 5, 5, 0], [0, 0, 5, 5, 5, 5, 0, 0, 0, 5, 5, 5, 5, 5, 5], [5, 0, 0, 5, 5, 0, 0, 5, 5, 5, 5, 5, 0, 5, 5], [5, 5, 0, 5, 0, 0, 5, 0, 5, 5, 5, 0, 0, 5, 0], [0, 0, 0, 0, 5, 5, 0, 5, 0, 0, 5, 5, 5, 0, 0], [5, 0, 5, 0, 0, 5, 5, 5, 0, 5, 5, 0, 0, 0, 5], [0, 5, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 5, 5, 0], [0, 5, 0, 0, 5, 0, 5, 0, 0, 0, 0, 5, 0, 5, 5], [0, 5, 0, 0, 0, 0, 5, 5, 0, 0, 0, 5, 0, 0, 5], [0, 5, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5], [2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2], [0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0], [2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2], [2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2], [2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2], [2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0], [0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2], [2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0], [0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0], [0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0], [0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2], [0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2], [0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0]] -> [[3, 3, 3, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 3, 3], [0, 3, 0, 0, 3, 0, 3, 0, 0, 0, 0, 3, 3, 3, 3], [3, 3, 3, 3, 0, 3, 3, 0, 0, 0, 0, 0, 3, 0, 0], [3, 0, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 3, 3], [3, 0, 3, 3, 3, 0, 0, 0, 3, 0, 0, 0, 0, 3, 0], [3, 0, 3, 0, 0, 3, 0, 0, 0, 3, 0, 0, 3, 0, 3], [0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 3, 3, 3, 3, 0], [0, 0, 0, 3, 0, 0, 0, 3, 3, 0, 0, 3, 3, 3, 3], [3, 3, 0, 0, 3, 0, 3, 3, 0, 0, 3, 0, 0, 3, 0], [0, 0, 0, 0, 0, 3, 0, 3, 0, 0, 0, 0, 0, 0, 0], [0, 3, 3, 0, 3, 0, 3, 0, 3, 0, 0, 3, 0, 0, 0], [0, 3, 0, 0, 0, 3, 3, 3, 0, 3, 0, 0, 0, 3, 0], [0, 3, 3, 0, 0, 3, 3, 3, 3, 0, 0, 0, 0, 0, 3], [0, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 0, 0, 0, 3], [0, 0, 3, 0, 0, 0, 3, 0, 0, 3, 0, 3, 0, 0, 0]]\nExample input-output arrays:\n[[0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0], [1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0], [0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1], [0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1], [0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1], [0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0], [0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1], [0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1], [0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1], [1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1], [0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0], [0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0], [0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0], [0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0], [1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1], [0, 0, 0, 5, 0, 5, 0, 0, 5, 0, 5, 5, 5, 0, 0], [0, 0, 5, 0, 0, 5, 5, 0, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 0, 5, 0, 5, 0, 5, 5, 0, 5, 5, 5], [5, 5, 0, 0, 0, 5, 5, 0, 5, 0, 0, 0, 5, 5, 5], [5, 5, 5, 5, 5, 0, 0, 5, 5, 5, 0, 0, 5, 0, 5], [5, 5, 5, 5, 0, 5, 5, 5, 0, 5, 5, 5, 5, 0, 0], [0, 0, 5, 0, 5, 5, 5, 0, 0, 5, 0, 5, 0, 0, 5], [5, 0, 0, 0, 5, 5, 0, 5, 0, 0, 5, 5, 5, 0, 0], [5, 5, 0, 5, 0, 5, 5, 5, 0, 5, 5, 0, 5, 5, 0], [5, 5, 5, 5, 5, 5, 0, 0, 0, 5, 0, 0, 0, 0, 5], [0, 0, 0, 0, 0, 0, 5, 0, 5, 0, 0, 0, 0, 0, 0], [5, 5, 5, 5, 0, 5, 5, 5, 5, 5, 5, 0, 5, 5, 0], [5, 5, 5, 0, 5, 0, 0, 0, 0, 5, 5, 5, 0, 5, 0], [0, 5, 5, 0, 5, 0, 0, 5, 5, 0, 0, 5, 0, 0, 0], [0, 0, 0, 5, 0, 0, 0, 5, 0, 5, 0, 0, 5, 5, 0], [0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0], [2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0], [2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0], [2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2], [0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0], [2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2], [2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2], [2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0], [2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0], [2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2], [0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0], [0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2], [2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2], [2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0]] -> [[0, 3, 3, 3, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0], [3, 3, 0, 0, 0, 3, 3, 3, 0, 3, 3, 0, 3, 0, 0], [3, 3, 3, 3, 3, 3, 0, 0, 0, 3, 3, 0, 3, 0, 0], [3, 0, 3, 3, 0, 0, 3, 3, 3, 0, 0, 0, 0, 3, 0], [0, 0, 0, 0, 3, 0, 3, 3, 3, 0, 0, 3, 0, 0, 3], [0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0], [0, 3, 3, 3, 0, 3, 3, 3, 0, 3, 0, 3, 3, 0, 3], [3, 3, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3], [3, 0, 3, 0, 0, 3, 3, 0, 0, 0, 3, 3, 3, 0, 0], [3, 3, 3, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 3, 0, 0, 3, 0, 0, 0, 0, 3, 0, 0, 0], [0, 3, 3, 0, 0, 3, 0, 0, 3, 3, 0, 0, 3, 0, 0], [0, 0, 3, 0, 3, 3, 3, 0, 0, 0, 0, 0, 0, 3, 0], [0, 0, 3, 0, 3, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0], [3, 3, 0, 0, 3, 0, 0, 0, 0, 3, 0, 0, 3, 3, 0]]\nExample input-output arrays:\n[[1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1], [0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0], [1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1], [1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0], [1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0], [1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1], [1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1], [0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1], [0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1], [1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0], [1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1], [0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1], [0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0], [1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0], [0, 5, 0, 5, 5, 5, 5, 0, 0, 5, 0, 5, 0, 0, 0], [5, 0, 0, 5, 0, 5, 0, 5, 5, 0, 0, 5, 5, 5, 0], [0, 0, 5, 5, 0, 5, 0, 0, 0, 0, 0, 5, 5, 0, 5], [0, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 5, 5, 0, 5], [0, 0, 5, 5, 5, 5, 0, 5, 5, 5, 5, 0, 0, 5, 0], [0, 5, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 5], [0, 5, 0, 5, 0, 5, 5, 0, 0, 5, 0, 5, 0, 0, 0], [0, 0, 0, 0, 0, 0, 5, 0, 5, 0, 0, 5, 5, 0, 5], [0, 5, 0, 0, 5, 5, 0, 5, 5, 0, 0, 5, 5, 5, 5], [0, 5, 0, 5, 5, 5, 0, 5, 5, 0, 0, 0, 5, 5, 0], [5, 5, 0, 0, 5, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5], [5, 0, 0, 5, 5, 0, 0, 5, 5, 0, 5, 5, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 5, 0, 0, 0], [0, 0, 5, 0, 5, 0, 5, 0, 0, 0, 0, 0, 5, 0, 5], [5, 0, 0, 5, 5, 0, 5, 0, 5, 5, 0, 0, 5, 5, 5], [2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0], [2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0], [2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2], [2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0], [2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2], [0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2], [0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0], [0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2], [2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2], [2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0], [2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0], [2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2], [0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2], [2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0], [0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0]] -> [[3, 3, 0, 3, 0, 3, 0, 0, 3, 3, 3, 0, 0, 0, 0], [3, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 0], [3, 0, 3, 3, 0, 3, 0, 0, 0, 0, 0, 3, 0, 0, 3], [3, 3, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 0], [3, 3, 0, 3, 3, 0, 3, 0, 0, 3, 0, 3, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 3, 0, 0, 3], [0, 3, 3, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 3, 0], [0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 0, 3, 3, 0, 3], [0, 3, 0, 0, 3, 3, 0, 0, 3, 0, 3, 0, 0, 3, 3], [3, 0, 0, 0, 3, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0], [3, 0, 3, 0, 3, 0, 0, 3, 0, 0, 3, 0, 3, 0, 0], [3, 3, 0, 3, 0, 0, 3, 3, 3, 0, 3, 0, 3, 0, 3], [0, 0, 3, 0, 0, 0, 0, 3, 3, 0, 3, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 3, 0, 0], [0, 0, 0, 3, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1], [0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0], [1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1], [1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0], [1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0], [1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1], [1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1], [0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1], [0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1], [1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0], [1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1], [0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1], [0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0], [1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0], [0, 4, 0, 4, 4, 4, 4, 0, 0, 4, 0, 4, 0, 0, 0], [4, 0, 0, 4, 0, 4, 0, 4, 4, 0, 0, 4, 4, 4, 0], [0, 0, 4, 4, 0, 4, 0, 0, 0, 0, 0, 4, 4, 0, 4], [0, 4, 0, 0, 0, 4, 4, 0, 4, 0, 4, 4, 4, 0, 4], [0, 0, 4, 4, 4, 4, 0, 4, 4, 4, 4, 0, 0, 4, 0], [0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 4], [0, 4, 0, 4, 0, 4, 4, 0, 0, 4, 0, 4, 0, 0, 0], [0, 0, 0, 0, 0, 0, 4, 0, 4, 0, 0, 4, 4, 0, 4], [0, 4, 0, 0, 4, 4, 0, 4, 4, 0, 0, 4, 4, 4, 4], [0, 4, 0, 4, 4, 4, 0, 4, 4, 0, 0, 0, 4, 4, 0], [4, 4, 0, 0, 4, 4, 0, 0, 0, 4, 4, 0, 4, 0, 4], [4, 0, 0, 4, 4, 0, 0, 4, 4, 0, 4, 4, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 4, 0, 0, 0], [0, 0, 4, 0, 4, 0, 4, 0, 0, 0, 0, 0, 4, 0, 4], [4, 0, 0, 4, 4, 0, 4, 0, 4, 4, 0, 0, 4, 4, 4], [2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0], [2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0], [2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2], [2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0], [2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2], [0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2], [0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0], [0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2], [2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2], [2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0], [2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0], [2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2], [0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2], [2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0], [0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
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+                            0,
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+                        ],
+                        [
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+                            1,
+                            1,
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+                        ],
+                        [
+                            1,
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+                            0,
+                            0,
+                            1,
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+                            0,
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+                        ],
+                        [
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+                        [
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+                        ],
+                        [
+                            1,
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+                            1,
+                            0,
+                            1,
+                            0,
+                            0,
+                            0,
+                            1,
+                            1,
+                            1,
+                            0,
+                            1,
+                            0,
+                            1
+                        ],
+                        [
+                            1,
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+                            1,
+                            1,
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+                            1,
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+                            1
+                        ],
+                        [
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+                            1
+                        ],
+                        [
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+                            1,
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+                        [
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+                            1,
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+                        [
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+                            1,
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                            0,
+                            0,
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+                        [
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+                            4,
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+                        [
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+                    "output": [
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+                }
+            },
+            "Replicate 2": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1], [1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1], [0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1], [1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1], [0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1], [1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0], [0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1], [1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0], [0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0], [0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1], [0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1], [0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1], [1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1], [0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0], [1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1], [5, 0, 5, 5, 5, 0, 5, 5, 0, 5, 5, 5, 5, 0, 5], [5, 0, 0, 5, 0, 5, 5, 5, 5, 0, 0, 5, 5, 0, 0], [0, 5, 0, 0, 5, 5, 5, 5, 0, 5, 0, 5, 0, 0, 0], [5, 5, 5, 0, 0, 5, 0, 5, 0, 5, 0, 0, 5, 5, 5], [5, 5, 0, 0, 5, 5, 0, 5, 0, 0, 0, 5, 0, 5, 0], [5, 0, 5, 0, 5, 5, 5, 0, 0, 0, 0, 0, 5, 0, 0], [5, 5, 0, 0, 0, 5, 5, 0, 0, 0, 0, 5, 0, 5, 0], [0, 5, 0, 0, 5, 0, 5, 5, 5, 5, 5, 0, 0, 5, 0], [0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0], [0, 0, 5, 5, 0, 0, 5, 5, 0, 0, 0, 5, 0, 5, 0], [0, 5, 5, 5, 0, 5, 5, 5, 0, 0, 5, 0, 5, 5, 5], [5, 5, 0, 5, 0, 0, 5, 5, 0, 0, 0, 5, 5, 5, 5], [0, 0, 0, 5, 5, 0, 0, 0, 5, 0, 5, 5, 5, 0, 0], [0, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0, 5, 0, 5, 5], [5, 5, 5, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 5, 5], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0], [0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2], [2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0], [0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0], [2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2], [2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0], [0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0], [0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2], [2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2], [0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0], [0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2], [2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2], [2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0]] -> [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0], [0, 0, 3, 0, 0, 3, 3, 0, 0, 3, 0, 0, 0, 3, 3], [3, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0], [0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0], [3, 0, 0, 3, 0, 0, 3, 0, 0, 0, 3, 0, 3, 3, 0], [3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 3, 0, 3, 0], [0, 3, 0, 0, 3, 3, 3, 3, 3, 3, 0, 0, 0, 3, 0], [0, 0, 3, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 3, 0], [0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3], [0, 3, 3, 3, 0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0], [0, 3, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 3, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 3, 0, 0, 3, 3], [0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3], [3, 3, 3, 0, 0, 3, 0, 0, 0, 3, 3, 0, 0, 3, 0]]\nExample input-output arrays:\n[[1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1], [0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1], [1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0], [0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0], [1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0], [1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1], [0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1], [0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0], [0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1], [0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0], [1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1], [1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1], [1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0], [0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0], [1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0], [5, 5, 5, 0, 5, 0, 5, 0, 5, 0, 0, 5, 5, 0, 0], [5, 0, 5, 0, 5, 0, 0, 5, 5, 0, 5, 0, 5, 0, 0], [5, 5, 5, 5, 0, 5, 5, 0, 0, 5, 0, 5, 0, 5, 5], [5, 5, 5, 5, 0, 5, 0, 0, 0, 0, 5, 0, 0, 5, 5], [0, 5, 5, 5, 5, 0, 0, 5, 5, 0, 5, 0, 0, 0, 0], [0, 5, 5, 0, 5, 5, 5, 5, 0, 0, 5, 5, 5, 5, 0], [0, 0, 5, 5, 5, 5, 0, 0, 0, 5, 5, 5, 5, 5, 5], [5, 0, 0, 5, 5, 0, 0, 5, 5, 5, 5, 5, 0, 5, 5], [5, 5, 0, 5, 0, 0, 5, 0, 5, 5, 5, 0, 0, 5, 0], [0, 0, 0, 0, 5, 5, 0, 5, 0, 0, 5, 5, 5, 0, 0], [5, 0, 5, 0, 0, 5, 5, 5, 0, 5, 5, 0, 0, 0, 5], [0, 5, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 5, 5, 0], [0, 5, 0, 0, 5, 0, 5, 0, 0, 0, 0, 5, 0, 5, 5], [0, 5, 0, 0, 0, 0, 5, 5, 0, 0, 0, 5, 0, 0, 5], [0, 5, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5], [2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2], [0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0], [2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2], [2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2], [2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2], [2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0], [0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2], [2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0], [0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0], [0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0], [0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2], [0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2], [0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0]] -> [[3, 3, 3, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 3, 3], [0, 3, 0, 0, 3, 0, 3, 0, 0, 0, 0, 3, 3, 3, 3], [3, 3, 3, 3, 0, 3, 3, 0, 0, 0, 0, 0, 3, 0, 0], [3, 0, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 3, 3], [3, 0, 3, 3, 3, 0, 0, 0, 3, 0, 0, 0, 0, 3, 0], [3, 0, 3, 0, 0, 3, 0, 0, 0, 3, 0, 0, 3, 0, 3], [0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 3, 3, 3, 3, 0], [0, 0, 0, 3, 0, 0, 0, 3, 3, 0, 0, 3, 3, 3, 3], [3, 3, 0, 0, 3, 0, 3, 3, 0, 0, 3, 0, 0, 3, 0], [0, 0, 0, 0, 0, 3, 0, 3, 0, 0, 0, 0, 0, 0, 0], [0, 3, 3, 0, 3, 0, 3, 0, 3, 0, 0, 3, 0, 0, 0], [0, 3, 0, 0, 0, 3, 3, 3, 0, 3, 0, 0, 0, 3, 0], [0, 3, 3, 0, 0, 3, 3, 3, 3, 0, 0, 0, 0, 0, 3], [0, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 0, 0, 0, 3], [0, 0, 3, 0, 0, 0, 3, 0, 0, 3, 0, 3, 0, 0, 0]]\nExample input-output arrays:\n[[1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1], [0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1], [1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0], [0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0], [1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0], [1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1], [0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1], [0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0], [0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1], [0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0], [1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1], [1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1], [1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0], [0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0], [1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0], [5, 5, 5, 0, 5, 0, 5, 0, 5, 0, 0, 5, 5, 0, 0], [5, 0, 5, 0, 5, 0, 0, 5, 5, 0, 5, 0, 5, 0, 0], [5, 5, 5, 5, 0, 5, 5, 0, 0, 5, 0, 5, 0, 5, 5], [5, 5, 5, 5, 0, 5, 0, 0, 0, 0, 5, 0, 0, 5, 5], [0, 5, 5, 5, 5, 0, 0, 5, 5, 0, 5, 0, 0, 0, 0], [0, 5, 5, 0, 5, 5, 5, 5, 0, 0, 5, 5, 5, 5, 0], [0, 0, 5, 5, 5, 5, 0, 0, 0, 5, 5, 5, 5, 5, 5], [5, 0, 0, 5, 5, 0, 0, 5, 5, 5, 5, 5, 0, 5, 5], [5, 5, 0, 5, 0, 0, 5, 0, 5, 5, 5, 0, 0, 5, 0], [0, 0, 0, 0, 5, 5, 0, 5, 0, 0, 5, 5, 5, 0, 0], [5, 0, 5, 0, 0, 5, 5, 5, 0, 5, 5, 0, 0, 0, 5], [0, 5, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 5, 5, 0], [0, 5, 0, 0, 5, 0, 5, 0, 0, 0, 0, 5, 0, 5, 5], [0, 5, 0, 0, 0, 0, 5, 5, 0, 0, 0, 5, 0, 0, 5], [0, 5, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5], [2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2], [0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0], [2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2], [2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2], [2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2], [2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0], [0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2], [2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0], [0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0], [0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0], [0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2], [0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2], [0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0]] -> [[3, 3, 3, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 3, 3], [0, 3, 0, 0, 3, 0, 3, 0, 0, 0, 0, 3, 3, 3, 3], [3, 3, 3, 3, 0, 3, 3, 0, 0, 0, 0, 0, 3, 0, 0], [3, 0, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 3, 3], [3, 0, 3, 3, 3, 0, 0, 0, 3, 0, 0, 0, 0, 3, 0], [3, 0, 3, 0, 0, 3, 0, 0, 0, 3, 0, 0, 3, 0, 3], [0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 3, 3, 3, 3, 0], [0, 0, 0, 3, 0, 0, 0, 3, 3, 0, 0, 3, 3, 3, 3], [3, 3, 0, 0, 3, 0, 3, 3, 0, 0, 3, 0, 0, 3, 0], [0, 0, 0, 0, 0, 3, 0, 3, 0, 0, 0, 0, 0, 0, 0], [0, 3, 3, 0, 3, 0, 3, 0, 3, 0, 0, 3, 0, 0, 0], [0, 3, 0, 0, 0, 3, 3, 3, 0, 3, 0, 0, 0, 3, 0], [0, 3, 3, 0, 0, 3, 3, 3, 3, 0, 0, 0, 0, 0, 3], [0, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 0, 0, 0, 3], [0, 0, 3, 0, 0, 0, 3, 0, 0, 3, 0, 3, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0], [1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0], [1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0], [0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1], [1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1], [1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1], [0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0], [1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1], [1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1], [0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1], [1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0], [1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0], [0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0], [0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0], [0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0], [0, 5, 0, 0, 5, 0, 0, 0, 5, 5, 0, 5, 5, 5, 0], [5, 5, 0, 0, 5, 5, 0, 5, 5, 0, 5, 0, 0, 0, 5], [0, 5, 5, 5, 0, 5, 0, 5, 0, 5, 0, 0, 5, 0, 5], [5, 0, 5, 0, 0, 5, 0, 5, 0, 0, 0, 0, 0, 5, 5], [0, 5, 0, 5, 0, 5, 0, 5, 0, 5, 5, 0, 0, 0, 5], [5, 5, 0, 5, 0, 5, 0, 5, 5, 0, 5, 0, 0, 5, 5], [0, 0, 5, 5, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0], [0, 0, 0, 0, 0, 5, 0, 0, 5, 0, 0, 5, 0, 0, 0], [5, 0, 0, 0, 5, 0, 0, 5, 5, 0, 5, 5, 0, 0, 0], [5, 0, 5, 5, 5, 0, 5, 5, 5, 5, 5, 0, 5, 5, 5], [5, 5, 5, 0, 5, 5, 5, 0, 5, 5, 5, 0, 5, 5, 5], [0, 0, 5, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0], [0, 0, 5, 0, 5, 5, 5, 0, 5, 5, 5, 0, 0, 5, 5], [0, 5, 0, 0, 0, 0, 5, 0, 5, 5, 0, 0, 0, 5, 0], [5, 5, 0, 0, 5, 0, 0, 5, 5, 5, 0, 0, 0, 5, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
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+                            0,
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+                        ],
+                        [
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+                        ],
+                        [
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+                        ],
+                        [
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+                        [
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+                        [
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+                        ],
+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+            "Replicate 3": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1], [1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1], [0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1], [1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1], [0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1], [1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0], [0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1], [1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0], [0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0], [0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1], [0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1], [0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1], [1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1], [0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0], [1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1], [5, 0, 5, 5, 5, 0, 5, 5, 0, 5, 5, 5, 5, 0, 5], [5, 0, 0, 5, 0, 5, 5, 5, 5, 0, 0, 5, 5, 0, 0], [0, 5, 0, 0, 5, 5, 5, 5, 0, 5, 0, 5, 0, 0, 0], [5, 5, 5, 0, 0, 5, 0, 5, 0, 5, 0, 0, 5, 5, 5], [5, 5, 0, 0, 5, 5, 0, 5, 0, 0, 0, 5, 0, 5, 0], [5, 0, 5, 0, 5, 5, 5, 0, 0, 0, 0, 0, 5, 0, 0], [5, 5, 0, 0, 0, 5, 5, 0, 0, 0, 0, 5, 0, 5, 0], [0, 5, 0, 0, 5, 0, 5, 5, 5, 5, 5, 0, 0, 5, 0], [0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0], [0, 0, 5, 5, 0, 0, 5, 5, 0, 0, 0, 5, 0, 5, 0], [0, 5, 5, 5, 0, 5, 5, 5, 0, 0, 5, 0, 5, 5, 5], [5, 5, 0, 5, 0, 0, 5, 5, 0, 0, 0, 5, 5, 5, 5], [0, 0, 0, 5, 5, 0, 0, 0, 5, 0, 5, 5, 5, 0, 0], [0, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0, 5, 0, 5, 5], [5, 5, 5, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 5, 5], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0], [0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2], [2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0], [0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0], [2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2], [2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0], [0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0], [0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2], [2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2], [0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0], [0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2], [2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2], [2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0]] -> [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0], [0, 0, 3, 0, 0, 3, 3, 0, 0, 3, 0, 0, 0, 3, 3], [3, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0], [0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0], [3, 0, 0, 3, 0, 0, 3, 0, 0, 0, 3, 0, 3, 3, 0], [3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 3, 0, 3, 0], [0, 3, 0, 0, 3, 3, 3, 3, 3, 3, 0, 0, 0, 3, 0], [0, 0, 3, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 3, 0], [0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3], [0, 3, 3, 3, 0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0], [0, 3, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 3, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 3, 0, 0, 3, 3], [0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3], [3, 3, 3, 0, 0, 3, 0, 0, 0, 3, 3, 0, 0, 3, 0]]\nExample input-output arrays:\n[[0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1], [1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1], [0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1], [1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1], [0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1], [1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0], [0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1], [1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0], [0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0], [0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1], [0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1], [0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1], [1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1], [0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0], [1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1], [5, 0, 5, 5, 5, 0, 5, 5, 0, 5, 5, 5, 5, 0, 5], [5, 0, 0, 5, 0, 5, 5, 5, 5, 0, 0, 5, 5, 0, 0], [0, 5, 0, 0, 5, 5, 5, 5, 0, 5, 0, 5, 0, 0, 0], [5, 5, 5, 0, 0, 5, 0, 5, 0, 5, 0, 0, 5, 5, 5], [5, 5, 0, 0, 5, 5, 0, 5, 0, 0, 0, 5, 0, 5, 0], [5, 0, 5, 0, 5, 5, 5, 0, 0, 0, 0, 0, 5, 0, 0], [5, 5, 0, 0, 0, 5, 5, 0, 0, 0, 0, 5, 0, 5, 0], [0, 5, 0, 0, 5, 0, 5, 5, 5, 5, 5, 0, 0, 5, 0], [0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0], [0, 0, 5, 5, 0, 0, 5, 5, 0, 0, 0, 5, 0, 5, 0], [0, 5, 5, 5, 0, 5, 5, 5, 0, 0, 5, 0, 5, 5, 5], [5, 5, 0, 5, 0, 0, 5, 5, 0, 0, 0, 5, 5, 5, 5], [0, 0, 0, 5, 5, 0, 0, 0, 5, 0, 5, 5, 5, 0, 0], [0, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0, 5, 0, 5, 5], [5, 5, 5, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 5, 5], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0], [0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2], [2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0], [0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0], [2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2], [2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0], [0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0], [0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2], [2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2], [0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0], [0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2], [2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2], [2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0]] -> [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0], [0, 0, 3, 0, 0, 3, 3, 0, 0, 3, 0, 0, 0, 3, 3], [3, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0], [0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0], [3, 0, 0, 3, 0, 0, 3, 0, 0, 0, 3, 0, 3, 3, 0], [3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 3, 0, 3, 0], [0, 3, 0, 0, 3, 3, 3, 3, 3, 3, 0, 0, 0, 3, 0], [0, 0, 3, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 3, 0], [0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3], [0, 3, 3, 3, 0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0], [0, 3, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 3, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 3, 0, 0, 3, 3], [0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3], [3, 3, 3, 0, 0, 3, 0, 0, 0, 3, 3, 0, 0, 3, 0]]\nExample input-output arrays:\n[[0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0], [1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0], [0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1], [0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1], [0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1], [0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0], [0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1], [0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1], [0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1], [1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1], [0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0], [0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0], [0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0], [0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0], [1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1], [0, 0, 0, 5, 0, 5, 0, 0, 5, 0, 5, 5, 5, 0, 0], [0, 0, 5, 0, 0, 5, 5, 0, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 0, 5, 0, 5, 0, 5, 5, 0, 5, 5, 5], [5, 5, 0, 0, 0, 5, 5, 0, 5, 0, 0, 0, 5, 5, 5], [5, 5, 5, 5, 5, 0, 0, 5, 5, 5, 0, 0, 5, 0, 5], [5, 5, 5, 5, 0, 5, 5, 5, 0, 5, 5, 5, 5, 0, 0], [0, 0, 5, 0, 5, 5, 5, 0, 0, 5, 0, 5, 0, 0, 5], [5, 0, 0, 0, 5, 5, 0, 5, 0, 0, 5, 5, 5, 0, 0], [5, 5, 0, 5, 0, 5, 5, 5, 0, 5, 5, 0, 5, 5, 0], [5, 5, 5, 5, 5, 5, 0, 0, 0, 5, 0, 0, 0, 0, 5], [0, 0, 0, 0, 0, 0, 5, 0, 5, 0, 0, 0, 0, 0, 0], [5, 5, 5, 5, 0, 5, 5, 5, 5, 5, 5, 0, 5, 5, 0], [5, 5, 5, 0, 5, 0, 0, 0, 0, 5, 5, 5, 0, 5, 0], [0, 5, 5, 0, 5, 0, 0, 5, 5, 0, 0, 5, 0, 0, 0], [0, 0, 0, 5, 0, 0, 0, 5, 0, 5, 0, 0, 5, 5, 0], [0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0], [2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0], [2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0], [2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2], [0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0], [2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2], [2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2], [2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0], [2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0], [2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2], [0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0], [0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2], [2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2], [2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0]] -> [[0, 3, 3, 3, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0], [3, 3, 0, 0, 0, 3, 3, 3, 0, 3, 3, 0, 3, 0, 0], [3, 3, 3, 3, 3, 3, 0, 0, 0, 3, 3, 0, 3, 0, 0], [3, 0, 3, 3, 0, 0, 3, 3, 3, 0, 0, 0, 0, 3, 0], [0, 0, 0, 0, 3, 0, 3, 3, 3, 0, 0, 3, 0, 0, 3], [0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0], [0, 3, 3, 3, 0, 3, 3, 3, 0, 3, 0, 3, 3, 0, 3], [3, 3, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3], [3, 0, 3, 0, 0, 3, 3, 0, 0, 0, 3, 3, 3, 0, 0], [3, 3, 3, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 3, 0, 0, 3, 0, 0, 0, 0, 3, 0, 0, 0], [0, 3, 3, 0, 0, 3, 0, 0, 3, 3, 0, 0, 3, 0, 0], [0, 0, 3, 0, 3, 3, 3, 0, 0, 0, 0, 0, 0, 3, 0], [0, 0, 3, 0, 3, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0], [3, 3, 0, 0, 3, 0, 0, 0, 0, 3, 0, 0, 3, 3, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0], [1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0], [0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1], [0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1], [0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1], [0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0], [0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1], [0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1], [0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1], [1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1], [0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0], [0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0], [0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0], [0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0], [1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1], [0, 0, 0, 7, 0, 7, 0, 0, 7, 0, 7, 7, 7, 0, 0], [0, 0, 7, 0, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 7, 0, 7, 7, 7], [7, 7, 0, 0, 0, 7, 7, 0, 7, 0, 0, 0, 7, 7, 7], [7, 7, 7, 7, 7, 0, 0, 7, 7, 7, 0, 0, 7, 0, 7], [7, 7, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 7, 0, 0], [0, 0, 7, 0, 7, 7, 7, 0, 0, 7, 0, 7, 0, 0, 7], [7, 0, 0, 0, 7, 7, 0, 7, 0, 0, 7, 7, 7, 0, 0], [7, 7, 0, 7, 0, 7, 7, 7, 0, 7, 7, 0, 7, 7, 0], [7, 7, 7, 7, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7], [0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0], [7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 7, 0], [7, 7, 7, 0, 7, 0, 0, 0, 0, 7, 7, 7, 0, 7, 0], [0, 7, 7, 0, 7, 0, 0, 7, 7, 0, 0, 7, 0, 0, 0], [0, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 0, 7, 7, 0], [0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0], [2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0], [2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0], [2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2], [0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0], [2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2], [2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2], [2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0], [2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0], [2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2], [0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0], [0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2], [2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2], [2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0]] -> ",
+                "test": {
+                    "input": [
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+                    ],
+                    "output": [
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+                }
+            },
+            "Replicate 4": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1], [1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1], [0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1], [1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1], [0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1], [1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0], [0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1], [1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0], [0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0], [0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1], [0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1], [0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1], [1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1], [0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0], [1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1], [5, 0, 5, 5, 5, 0, 5, 5, 0, 5, 5, 5, 5, 0, 5], [5, 0, 0, 5, 0, 5, 5, 5, 5, 0, 0, 5, 5, 0, 0], [0, 5, 0, 0, 5, 5, 5, 5, 0, 5, 0, 5, 0, 0, 0], [5, 5, 5, 0, 0, 5, 0, 5, 0, 5, 0, 0, 5, 5, 5], [5, 5, 0, 0, 5, 5, 0, 5, 0, 0, 0, 5, 0, 5, 0], [5, 0, 5, 0, 5, 5, 5, 0, 0, 0, 0, 0, 5, 0, 0], [5, 5, 0, 0, 0, 5, 5, 0, 0, 0, 0, 5, 0, 5, 0], [0, 5, 0, 0, 5, 0, 5, 5, 5, 5, 5, 0, 0, 5, 0], [0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0], [0, 0, 5, 5, 0, 0, 5, 5, 0, 0, 0, 5, 0, 5, 0], [0, 5, 5, 5, 0, 5, 5, 5, 0, 0, 5, 0, 5, 5, 5], [5, 5, 0, 5, 0, 0, 5, 5, 0, 0, 0, 5, 5, 5, 5], [0, 0, 0, 5, 5, 0, 0, 0, 5, 0, 5, 5, 5, 0, 0], [0, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0, 5, 0, 5, 5], [5, 5, 5, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 5, 5], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0], [0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2], [2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0], [0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0], [2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2], [2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0], [0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0], [0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2], [2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2], [0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0], [0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2], [2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2], [2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0]] -> [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0], [0, 0, 3, 0, 0, 3, 3, 0, 0, 3, 0, 0, 0, 3, 3], [3, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0], [0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0], [3, 0, 0, 3, 0, 0, 3, 0, 0, 0, 3, 0, 3, 3, 0], [3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 3, 0, 3, 0], [0, 3, 0, 0, 3, 3, 3, 3, 3, 3, 0, 0, 0, 3, 0], [0, 0, 3, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 3, 0], [0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3], [0, 3, 3, 3, 0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0], [0, 3, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 3, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 3, 0, 0, 3, 3], [0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3], [3, 3, 3, 0, 0, 3, 0, 0, 0, 3, 3, 0, 0, 3, 0]]\nExample input-output arrays:\n[[0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1], [1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1], [0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1], [1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1], [0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1], [1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0], [0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1], [1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0], [0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0], [0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1], [0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1], [0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1], [1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1], [0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0], [1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1], [5, 0, 5, 5, 5, 0, 5, 5, 0, 5, 5, 5, 5, 0, 5], [5, 0, 0, 5, 0, 5, 5, 5, 5, 0, 0, 5, 5, 0, 0], [0, 5, 0, 0, 5, 5, 5, 5, 0, 5, 0, 5, 0, 0, 0], [5, 5, 5, 0, 0, 5, 0, 5, 0, 5, 0, 0, 5, 5, 5], [5, 5, 0, 0, 5, 5, 0, 5, 0, 0, 0, 5, 0, 5, 0], [5, 0, 5, 0, 5, 5, 5, 0, 0, 0, 0, 0, 5, 0, 0], [5, 5, 0, 0, 0, 5, 5, 0, 0, 0, 0, 5, 0, 5, 0], [0, 5, 0, 0, 5, 0, 5, 5, 5, 5, 5, 0, 0, 5, 0], [0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0], [0, 0, 5, 5, 0, 0, 5, 5, 0, 0, 0, 5, 0, 5, 0], [0, 5, 5, 5, 0, 5, 5, 5, 0, 0, 5, 0, 5, 5, 5], [5, 5, 0, 5, 0, 0, 5, 5, 0, 0, 0, 5, 5, 5, 5], [0, 0, 0, 5, 5, 0, 0, 0, 5, 0, 5, 5, 5, 0, 0], [0, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0, 5, 0, 5, 5], [5, 5, 5, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 5, 5], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0], [0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2], [2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0], [0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0], [2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2], [2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0], [0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0], [0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2], [2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2], [0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0], [0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2], [2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2], [2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0]] -> [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0], [0, 0, 3, 0, 0, 3, 3, 0, 0, 3, 0, 0, 0, 3, 3], [3, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0], [0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0], [3, 0, 0, 3, 0, 0, 3, 0, 0, 0, 3, 0, 3, 3, 0], [3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 3, 0, 3, 0], [0, 3, 0, 0, 3, 3, 3, 3, 3, 3, 0, 0, 0, 3, 0], [0, 0, 3, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 3, 0], [0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3], [0, 3, 3, 3, 0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0], [0, 3, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 3, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 3, 0, 0, 3, 3], [0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3], [3, 3, 3, 0, 0, 3, 0, 0, 0, 3, 3, 0, 0, 3, 0]]\nExample input-output arrays:\n[[1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1], [1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0], [0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1], [1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1], [1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0], [1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0], [0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0], [1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1], [0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1], [1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1], [0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1], [1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0], [0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1], [0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1], [1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0], [5, 0, 0, 5, 0, 0, 5, 0, 5, 0, 0, 0, 0, 5, 0], [5, 5, 5, 5, 0, 5, 5, 0, 0, 0, 5, 5, 0, 0, 0], [0, 0, 5, 5, 0, 5, 5, 5, 0, 5, 5, 0, 5, 5, 0], [5, 0, 0, 0, 0, 5, 5, 5, 0, 0, 5, 5, 0, 5, 5], [0, 5, 0, 5, 5, 0, 0, 0, 5, 0, 5, 5, 5, 5, 5], [5, 0, 0, 0, 0, 0, 5, 0, 5, 5, 0, 0, 5, 5, 5], [5, 5, 0, 0, 5, 5, 5, 0, 0, 5, 0, 5, 5, 0, 0], [0, 0, 5, 0, 5, 5, 5, 0, 0, 0, 5, 0, 5, 0, 0], [5, 0, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0, 5, 5, 0], [0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 5, 0, 5], [0, 0, 5, 0, 0, 0, 0, 5, 5, 0, 5, 0, 0, 5, 0], [5, 5, 0, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 0, 5], [5, 0, 0, 5, 5, 5, 5, 0, 0, 0, 5, 0, 0, 5, 0], [5, 5, 5, 5, 0, 0, 0, 5, 5, 0, 0, 5, 5, 5, 0], [5, 0, 0, 5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 5, 0], [0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2], [0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2], [2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0], [2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0], [0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0], [2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2], [2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2], [0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0], [2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0], [0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0], [2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2], [0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2], [2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0], [0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2]] -> [[0, 3, 3, 3, 3, 0, 3, 0, 0, 3, 3, 0, 0, 3, 3], [0, 3, 0, 0, 0, 0, 3, 0, 3, 0, 3, 0, 0, 0, 0], [0, 0, 0, 3, 3, 0, 3, 0, 0, 3, 0, 0, 0, 3, 0], [3, 3, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 3, 3, 0], [0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 3, 0, 0, 0, 0], [3, 3, 0, 0, 3, 0, 3, 0, 3, 3, 0, 0, 0, 3, 3], [3, 0, 3, 3, 0, 0, 0, 0, 3, 3, 0, 3, 3, 3, 0], [0, 3, 3, 0, 0, 3, 0, 0, 3, 0, 0, 0, 0, 3, 0], [3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0], [0, 0, 3, 3, 0, 3, 0, 3, 3, 3, 0, 0, 3, 0, 0], [0, 0, 3, 3, 0, 0, 0, 3, 0, 3, 0, 0, 0, 3, 3], [0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 3, 3], [3, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 3, 0, 0, 3, 0, 3, 0, 0, 0, 3, 3, 3, 0], [0, 0, 3, 3, 0, 0, 3, 0, 0, 3, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1], [1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0], [0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1], [1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1], [1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0], [1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0], [0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0], [1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1], [0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1], [1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1], [0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1], [1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0], [0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1], [0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1], [1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0], [4, 0, 0, 4, 0, 0, 4, 0, 4, 0, 0, 0, 0, 4, 0], [4, 4, 4, 4, 0, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0], [0, 0, 4, 4, 0, 4, 4, 4, 0, 4, 4, 0, 4, 4, 0], [4, 0, 0, 0, 0, 4, 4, 4, 0, 0, 4, 4, 0, 4, 4], [0, 4, 0, 4, 4, 0, 0, 0, 4, 0, 4, 4, 4, 4, 4], [4, 0, 0, 0, 0, 0, 4, 0, 4, 4, 0, 0, 4, 4, 4], [4, 4, 0, 0, 4, 4, 4, 0, 0, 4, 0, 4, 4, 0, 0], [0, 0, 4, 0, 4, 4, 4, 0, 0, 0, 4, 0, 4, 0, 0], [4, 0, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 4, 4, 0], [0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 4, 0, 4], [0, 0, 4, 0, 0, 0, 0, 4, 4, 0, 4, 0, 0, 4, 0], [4, 4, 0, 0, 0, 0, 0, 4, 4, 4, 0, 4, 4, 0, 4], [4, 0, 0, 4, 4, 4, 4, 0, 0, 0, 4, 0, 0, 4, 0], [4, 4, 4, 4, 0, 0, 0, 4, 4, 0, 0, 4, 4, 4, 0], [4, 0, 0, 4, 4, 4, 4, 0, 4, 0, 0, 0, 4, 4, 0], [0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2], [0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2], [2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0], [2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0], [0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0], [2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2], [2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2], [0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0], [2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0], [0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0], [2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2], [0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2], [2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0], [0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2]] -> ",
+                "test": {
+                    "input": [
+                        [
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+                        [
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+                    "output": [
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+        },
+        "L3": {
+            "Replicate 0": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1], [1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1], [0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1], [1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1], [0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1], [1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0], [0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1], [1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0], [0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0], [0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1], [0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1], [0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1], [1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1], [0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0], [1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1], [5, 0, 5, 5, 5, 0, 5, 5, 0, 5, 5, 5, 5, 0, 5], [5, 0, 0, 5, 0, 5, 5, 5, 5, 0, 0, 5, 5, 0, 0], [0, 5, 0, 0, 5, 5, 5, 5, 0, 5, 0, 5, 0, 0, 0], [5, 5, 5, 0, 0, 5, 0, 5, 0, 5, 0, 0, 5, 5, 5], [5, 5, 0, 0, 5, 5, 0, 5, 0, 0, 0, 5, 0, 5, 0], [5, 0, 5, 0, 5, 5, 5, 0, 0, 0, 0, 0, 5, 0, 0], [5, 5, 0, 0, 0, 5, 5, 0, 0, 0, 0, 5, 0, 5, 0], [0, 5, 0, 0, 5, 0, 5, 5, 5, 5, 5, 0, 0, 5, 0], [0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0], [0, 0, 5, 5, 0, 0, 5, 5, 0, 0, 0, 5, 0, 5, 0], [0, 5, 5, 5, 0, 5, 5, 5, 0, 0, 5, 0, 5, 5, 5], [5, 5, 0, 5, 0, 0, 5, 5, 0, 0, 0, 5, 5, 5, 5], [0, 0, 0, 5, 5, 0, 0, 0, 5, 0, 5, 5, 5, 0, 0], [0, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0, 5, 0, 5, 5], [5, 5, 5, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 5, 5], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0], [0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2], [2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0], [0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0], [2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2], [2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0], [0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0], [0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2], [2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2], [0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0], [0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2], [2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2], [2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0]] -> [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0], [0, 0, 3, 0, 0, 3, 3, 0, 0, 3, 0, 0, 0, 3, 3], [3, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0], [0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0], [3, 0, 0, 3, 0, 0, 3, 0, 0, 0, 3, 0, 3, 3, 0], [3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 3, 0, 3, 0], [0, 3, 0, 0, 3, 3, 3, 3, 3, 3, 0, 0, 0, 3, 0], [0, 0, 3, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 3, 0], [0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3], [0, 3, 3, 3, 0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0], [0, 3, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 3, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 3, 0, 0, 3, 3], [0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3], [3, 3, 3, 0, 0, 3, 0, 0, 0, 3, 3, 0, 0, 3, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1], [1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1], [0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1], [1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1], [0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1], [1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0], [0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1], [1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0], [0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0], [0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1], [0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1], [0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1], [1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1], [0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0], [1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1], [9, 0, 9, 9, 9, 0, 9, 9, 0, 9, 9, 9, 9, 0, 9], [9, 0, 0, 9, 0, 9, 9, 9, 9, 0, 0, 9, 9, 0, 0], [0, 9, 0, 0, 9, 9, 9, 9, 0, 9, 0, 9, 0, 0, 0], [9, 9, 9, 0, 0, 9, 0, 9, 0, 9, 0, 0, 9, 9, 9], [9, 9, 0, 0, 9, 9, 0, 9, 0, 0, 0, 9, 0, 9, 0], [9, 0, 9, 0, 9, 9, 9, 0, 0, 0, 0, 0, 9, 0, 0], [9, 9, 0, 0, 0, 9, 9, 0, 0, 0, 0, 9, 0, 9, 0], [0, 9, 0, 0, 9, 0, 9, 9, 9, 9, 9, 0, 0, 9, 0], [0, 0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 9, 0, 0, 0], [0, 0, 9, 9, 0, 0, 9, 9, 0, 0, 0, 9, 0, 9, 0], [0, 9, 9, 9, 0, 9, 9, 9, 0, 0, 9, 0, 9, 9, 9], [9, 9, 0, 9, 0, 0, 9, 9, 0, 0, 0, 9, 9, 9, 9], [0, 0, 0, 9, 9, 0, 0, 0, 9, 0, 9, 9, 9, 0, 0], [0, 0, 9, 0, 0, 0, 0, 0, 0, 9, 0, 9, 0, 9, 9], [9, 9, 9, 0, 0, 0, 9, 9, 9, 0, 9, 9, 9, 9, 9], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0], [0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2], [2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0], [0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0], [2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2], [2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0], [0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0], [0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2], [2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2], [0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0], [0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2], [2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2], [2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0]] -> [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0], [0, 0, 3, 0, 0, 3, 3, 0, 0, 3, 0, 0, 0, 3, 3], [3, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0], [0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0], [3, 0, 0, 3, 0, 0, 3, 0, 0, 0, 3, 0, 3, 3, 0], [3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 3, 0, 3, 0], [0, 3, 0, 0, 3, 3, 3, 3, 3, 3, 0, 0, 0, 3, 0], [0, 0, 3, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 3, 0], [0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3], [0, 3, 3, 3, 0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0], [0, 3, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 3, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 3, 0, 0, 3, 3], [0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3], [3, 3, 3, 0, 0, 3, 0, 0, 0, 3, 3, 0, 0, 3, 0]]\nExample input-output arrays:\n[[1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1], [1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0], [0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1], [1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1], [1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0], [1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0], [0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0], [1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1], [0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1], [1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1], [0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1], [1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0], [0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1], [0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1], [1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0], [5, 0, 0, 5, 0, 0, 5, 0, 5, 0, 0, 0, 0, 5, 0], [5, 5, 5, 5, 0, 5, 5, 0, 0, 0, 5, 5, 0, 0, 0], [0, 0, 5, 5, 0, 5, 5, 5, 0, 5, 5, 0, 5, 5, 0], [5, 0, 0, 0, 0, 5, 5, 5, 0, 0, 5, 5, 0, 5, 5], [0, 5, 0, 5, 5, 0, 0, 0, 5, 0, 5, 5, 5, 5, 5], [5, 0, 0, 0, 0, 0, 5, 0, 5, 5, 0, 0, 5, 5, 5], [5, 5, 0, 0, 5, 5, 5, 0, 0, 5, 0, 5, 5, 0, 0], [0, 0, 5, 0, 5, 5, 5, 0, 0, 0, 5, 0, 5, 0, 0], [5, 0, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0, 5, 5, 0], [0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 5, 0, 5], [0, 0, 5, 0, 0, 0, 0, 5, 5, 0, 5, 0, 0, 5, 0], [5, 5, 0, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 0, 5], [5, 0, 0, 5, 5, 5, 5, 0, 0, 0, 5, 0, 0, 5, 0], [5, 5, 5, 5, 0, 0, 0, 5, 5, 0, 0, 5, 5, 5, 0], [5, 0, 0, 5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 5, 0], [0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2], [0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2], [2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0], [2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0], [0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0], [2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2], [2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2], [0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0], [2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0], [0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0], [2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2], [0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2], [2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0], [0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2]] -> [[0, 3, 3, 3, 3, 0, 3, 0, 0, 3, 3, 0, 0, 3, 3], [0, 3, 0, 0, 0, 0, 3, 0, 3, 0, 3, 0, 0, 0, 0], [0, 0, 0, 3, 3, 0, 3, 0, 0, 3, 0, 0, 0, 3, 0], [3, 3, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 3, 3, 0], [0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 3, 0, 0, 0, 0], [3, 3, 0, 0, 3, 0, 3, 0, 3, 3, 0, 0, 0, 3, 3], [3, 0, 3, 3, 0, 0, 0, 0, 3, 3, 0, 3, 3, 3, 0], [0, 3, 3, 0, 0, 3, 0, 0, 3, 0, 0, 0, 0, 3, 0], [3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0], [0, 0, 3, 3, 0, 3, 0, 3, 3, 3, 0, 0, 3, 0, 0], [0, 0, 3, 3, 0, 0, 0, 3, 0, 3, 0, 0, 0, 3, 3], [0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 3, 3], [3, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 3, 0, 0, 3, 0, 3, 0, 0, 0, 3, 3, 3, 0], [0, 0, 3, 3, 0, 0, 3, 0, 0, 3, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 5, 5, 5, 0, 5, 0, 0, 0, 5, 5, 0, 5, 5, 0], [0, 0, 5, 5, 5, 0, 5, 0, 0, 0, 5, 5, 0, 0, 0], [5, 5, 0, 5, 0, 0, 0, 0, 5, 0, 5, 0, 0, 5, 5], [0, 5, 0, 5, 0, 5, 0, 5, 5, 5, 0, 0, 5, 0, 0], [5, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0], [5, 0, 5, 5, 0, 0, 0, 5, 5, 5, 5, 0, 5, 5, 0], [0, 0, 0, 0, 0, 5, 5, 5, 5, 0, 0, 5, 0, 5, 5], [0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 0, 5, 5, 5, 0], [0, 5, 0, 5, 0, 5, 0, 5, 5, 5, 0, 5, 5, 5, 5], [5, 5, 0, 0, 5, 5, 5, 0, 0, 0, 0, 5, 5, 0, 0], [5, 0, 0, 5, 5, 5, 5, 0, 5, 5, 0, 5, 5, 0, 0], [5, 0, 0, 5, 5, 0, 0, 5, 5, 0, 5, 5, 0, 5, 0], [5, 0, 5, 5, 5, 5, 0, 5, 0, 0, 5, 5, 0, 0, 5], [0, 5, 5, 0, 5, 5, 5, 5, 0, 0, 0, 0, 5, 5, 5], [0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 5, 5, 0, 0], [2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0], [2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0], [0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2], [2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2], [2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0], [0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0], [2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0], [2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0], [2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0], [2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0], [0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0], [2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2], [2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0], [2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0], [2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2]] -> ",
+                "test": {
+                    "input": [
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+                    "output": [
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+            },
+            "Replicate 1": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0], [1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0], [0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1], [0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1], [0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1], [0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0], [0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1], [0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1], [0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1], [1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1], [0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0], [0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0], [0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0], [0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0], [1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1], [0, 0, 0, 5, 0, 5, 0, 0, 5, 0, 5, 5, 5, 0, 0], [0, 0, 5, 0, 0, 5, 5, 0, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 0, 5, 0, 5, 0, 5, 5, 0, 5, 5, 5], [5, 5, 0, 0, 0, 5, 5, 0, 5, 0, 0, 0, 5, 5, 5], [5, 5, 5, 5, 5, 0, 0, 5, 5, 5, 0, 0, 5, 0, 5], [5, 5, 5, 5, 0, 5, 5, 5, 0, 5, 5, 5, 5, 0, 0], [0, 0, 5, 0, 5, 5, 5, 0, 0, 5, 0, 5, 0, 0, 5], [5, 0, 0, 0, 5, 5, 0, 5, 0, 0, 5, 5, 5, 0, 0], [5, 5, 0, 5, 0, 5, 5, 5, 0, 5, 5, 0, 5, 5, 0], [5, 5, 5, 5, 5, 5, 0, 0, 0, 5, 0, 0, 0, 0, 5], [0, 0, 0, 0, 0, 0, 5, 0, 5, 0, 0, 0, 0, 0, 0], [5, 5, 5, 5, 0, 5, 5, 5, 5, 5, 5, 0, 5, 5, 0], [5, 5, 5, 0, 5, 0, 0, 0, 0, 5, 5, 5, 0, 5, 0], [0, 5, 5, 0, 5, 0, 0, 5, 5, 0, 0, 5, 0, 0, 0], [0, 0, 0, 5, 0, 0, 0, 5, 0, 5, 0, 0, 5, 5, 0], [0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0], [2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0], [2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0], [2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2], [0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0], [2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2], [2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2], [2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0], [2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0], [2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2], [0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0], [0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2], [2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2], [2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0]] -> [[0, 3, 3, 3, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0], [3, 3, 0, 0, 0, 3, 3, 3, 0, 3, 3, 0, 3, 0, 0], [3, 3, 3, 3, 3, 3, 0, 0, 0, 3, 3, 0, 3, 0, 0], [3, 0, 3, 3, 0, 0, 3, 3, 3, 0, 0, 0, 0, 3, 0], [0, 0, 0, 0, 3, 0, 3, 3, 3, 0, 0, 3, 0, 0, 3], [0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0], [0, 3, 3, 3, 0, 3, 3, 3, 0, 3, 0, 3, 3, 0, 3], [3, 3, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3], [3, 0, 3, 0, 0, 3, 3, 0, 0, 0, 3, 3, 3, 0, 0], [3, 3, 3, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 3, 0, 0, 3, 0, 0, 0, 0, 3, 0, 0, 0], [0, 3, 3, 0, 0, 3, 0, 0, 3, 3, 0, 0, 3, 0, 0], [0, 0, 3, 0, 3, 3, 3, 0, 0, 0, 0, 0, 0, 3, 0], [0, 0, 3, 0, 3, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0], [3, 3, 0, 0, 3, 0, 0, 0, 0, 3, 0, 0, 3, 3, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1], [1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0], [1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1], [0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1], [0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1], [1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1], [0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0], [0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0], [1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1], [1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1], [0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0], [0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1], [0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1], [0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1], [0, 5, 5, 0, 5, 0, 0, 0, 5, 5, 0, 5, 5, 5, 5], [0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 5, 0, 0, 5, 5], [5, 5, 0, 5, 0, 5, 0, 0, 5, 5, 0, 5, 5, 0, 5], [5, 0, 5, 0, 5, 5, 0, 0, 0, 5, 0, 5, 5, 0, 5], [5, 5, 5, 0, 5, 0, 5, 5, 0, 5, 5, 5, 5, 0, 0], [0, 5, 0, 0, 5, 5, 5, 0, 0, 5, 5, 5, 5, 5, 0], [0, 0, 5, 5, 5, 5, 5, 5, 0, 5, 5, 0, 0, 0, 0], [0, 5, 5, 5, 0, 5, 5, 0, 5, 0, 0, 5, 5, 0, 0], [5, 5, 5, 5, 5, 0, 0, 5, 0, 0, 5, 0, 0, 5, 0], [5, 5, 5, 0, 5, 5, 0, 0, 0, 5, 0, 5, 5, 0, 5], [5, 5, 0, 0, 0, 0, 5, 5, 0, 0, 5, 0, 0, 0, 5], [0, 5, 5, 5, 5, 0, 5, 0, 0, 5, 5, 5, 0, 0, 0], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0, 5, 5, 0], [0, 5, 0, 0, 5, 0, 0, 0, 5, 0, 0, 5, 0, 5, 0], [0, 0, 0, 0, 5, 0, 0, 5, 0, 5, 5, 5, 0, 5, 5], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]] -> [[3, 3, 3, 0, 3, 0, 0, 0, 3, 3, 0, 3, 3, 3, 3], [3, 3, 3, 3, 3, 0, 3, 3, 3, 0, 3, 0, 0, 3, 3], [3, 3, 0, 3, 0, 3, 0, 3, 3, 3, 0, 3, 3, 0, 3], [3, 3, 3, 0, 3, 3, 0, 0, 3, 3, 3, 3, 3, 0, 3], [3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [0, 3, 0, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3], [3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3], [0, 3, 3, 3, 0, 3, 3, 3, 3, 0, 0, 3, 3, 3, 0], [3, 3, 3, 3, 3, 3, 0, 3, 0, 0, 3, 0, 3, 3, 0], [3, 3, 3, 0, 3, 3, 3, 0, 0, 3, 0, 3, 3, 0, 3], [3, 3, 0, 3, 0, 0, 3, 3, 0, 0, 3, 0, 3, 0, 3], [0, 3, 3, 3, 3, 0, 3, 0, 3, 3, 3, 3, 0, 0, 0], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [0, 3, 3, 3, 3, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3], [0, 0, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 0, 3, 3]]\nExample input-output arrays:\n[[1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1], [0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1], [1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0], [0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0], [1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0], [1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1], [0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1], [0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0], [0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1], [0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0], [1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1], [1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1], [1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0], [0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0], [1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0], [5, 5, 5, 0, 5, 0, 5, 0, 5, 0, 0, 5, 5, 0, 0], [5, 0, 5, 0, 5, 0, 0, 5, 5, 0, 5, 0, 5, 0, 0], [5, 5, 5, 5, 0, 5, 5, 0, 0, 5, 0, 5, 0, 5, 5], [5, 5, 5, 5, 0, 5, 0, 0, 0, 0, 5, 0, 0, 5, 5], [0, 5, 5, 5, 5, 0, 0, 5, 5, 0, 5, 0, 0, 0, 0], [0, 5, 5, 0, 5, 5, 5, 5, 0, 0, 5, 5, 5, 5, 0], [0, 0, 5, 5, 5, 5, 0, 0, 0, 5, 5, 5, 5, 5, 5], [5, 0, 0, 5, 5, 0, 0, 5, 5, 5, 5, 5, 0, 5, 5], [5, 5, 0, 5, 0, 0, 5, 0, 5, 5, 5, 0, 0, 5, 0], [0, 0, 0, 0, 5, 5, 0, 5, 0, 0, 5, 5, 5, 0, 0], [5, 0, 5, 0, 0, 5, 5, 5, 0, 5, 5, 0, 0, 0, 5], [0, 5, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 5, 5, 0], [0, 5, 0, 0, 5, 0, 5, 0, 0, 0, 0, 5, 0, 5, 5], [0, 5, 0, 0, 0, 0, 5, 5, 0, 0, 0, 5, 0, 0, 5], [0, 5, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5], [2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2], [0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0], [2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2], [2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2], [2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2], [2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0], [0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2], [2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0], [0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0], [0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0], [0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2], [0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2], [0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0]] -> [[3, 3, 3, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 3, 3], [0, 3, 0, 0, 3, 0, 3, 0, 0, 0, 0, 3, 3, 3, 3], [3, 3, 3, 3, 0, 3, 3, 0, 0, 0, 0, 0, 3, 0, 0], [3, 0, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 3, 3], [3, 0, 3, 3, 3, 0, 0, 0, 3, 0, 0, 0, 0, 3, 0], [3, 0, 3, 0, 0, 3, 0, 0, 0, 3, 0, 0, 3, 0, 3], [0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 3, 3, 3, 3, 0], [0, 0, 0, 3, 0, 0, 0, 3, 3, 0, 0, 3, 3, 3, 3], [3, 3, 0, 0, 3, 0, 3, 3, 0, 0, 3, 0, 0, 3, 0], [0, 0, 0, 0, 0, 3, 0, 3, 0, 0, 0, 0, 0, 0, 0], [0, 3, 3, 0, 3, 0, 3, 0, 3, 0, 0, 3, 0, 0, 0], [0, 3, 0, 0, 0, 3, 3, 3, 0, 3, 0, 0, 0, 3, 0], [0, 3, 3, 0, 0, 3, 3, 3, 3, 0, 0, 0, 0, 0, 3], [0, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 0, 0, 0, 3], [0, 0, 3, 0, 0, 0, 3, 0, 0, 3, 0, 3, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0], [1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0], [1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0], [0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1], [1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1], [1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1], [0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0], [1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1], [1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1], [0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1], [1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0], [1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0], [0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0], [0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0], [0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0], [0, 5, 0, 0, 5, 0, 0, 0, 5, 5, 0, 5, 5, 5, 0], [5, 5, 0, 0, 5, 5, 0, 5, 5, 0, 5, 0, 0, 0, 5], [0, 5, 5, 5, 0, 5, 0, 5, 0, 5, 0, 0, 5, 0, 5], [5, 0, 5, 0, 0, 5, 0, 5, 0, 0, 0, 0, 0, 5, 5], [0, 5, 0, 5, 0, 5, 0, 5, 0, 5, 5, 0, 0, 0, 5], [5, 5, 0, 5, 0, 5, 0, 5, 5, 0, 5, 0, 0, 5, 5], [0, 0, 5, 5, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0], [0, 0, 0, 0, 0, 5, 0, 0, 5, 0, 0, 5, 0, 0, 0], [5, 0, 0, 0, 5, 0, 0, 5, 5, 0, 5, 5, 0, 0, 0], [5, 0, 5, 5, 5, 0, 5, 5, 5, 5, 5, 0, 5, 5, 5], [5, 5, 5, 0, 5, 5, 5, 0, 5, 5, 5, 0, 5, 5, 5], [0, 0, 5, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0], [0, 0, 5, 0, 5, 5, 5, 0, 5, 5, 5, 0, 0, 5, 5], [0, 5, 0, 0, 0, 0, 5, 0, 5, 5, 0, 0, 0, 5, 0], [5, 5, 0, 0, 5, 0, 0, 5, 5, 5, 0, 0, 0, 5, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> ",
+                "test": {
+                    "input": [
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+                    ],
+                    "output": [
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+            "Replicate 2": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1], [0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0], [1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1], [1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0], [1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0], [1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1], [1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1], [0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1], [0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1], [1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0], [1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1], [0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1], [0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0], [1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0], [0, 5, 0, 5, 5, 5, 5, 0, 0, 5, 0, 5, 0, 0, 0], [5, 0, 0, 5, 0, 5, 0, 5, 5, 0, 0, 5, 5, 5, 0], [0, 0, 5, 5, 0, 5, 0, 0, 0, 0, 0, 5, 5, 0, 5], [0, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 5, 5, 0, 5], [0, 0, 5, 5, 5, 5, 0, 5, 5, 5, 5, 0, 0, 5, 0], [0, 5, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 5], [0, 5, 0, 5, 0, 5, 5, 0, 0, 5, 0, 5, 0, 0, 0], [0, 0, 0, 0, 0, 0, 5, 0, 5, 0, 0, 5, 5, 0, 5], [0, 5, 0, 0, 5, 5, 0, 5, 5, 0, 0, 5, 5, 5, 5], [0, 5, 0, 5, 5, 5, 0, 5, 5, 0, 0, 0, 5, 5, 0], [5, 5, 0, 0, 5, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5], [5, 0, 0, 5, 5, 0, 0, 5, 5, 0, 5, 5, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 5, 0, 0, 0], [0, 0, 5, 0, 5, 0, 5, 0, 0, 0, 0, 0, 5, 0, 5], [5, 0, 0, 5, 5, 0, 5, 0, 5, 5, 0, 0, 5, 5, 5], [2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0], [2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0], [2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2], [2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0], [2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2], [0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2], [0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0], [0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2], [2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2], [2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0], [2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0], [2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2], [0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2], [2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0], [0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0]] -> [[3, 3, 0, 3, 0, 3, 0, 0, 3, 3, 3, 0, 0, 0, 0], [3, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 0], [3, 0, 3, 3, 0, 3, 0, 0, 0, 0, 0, 3, 0, 0, 3], [3, 3, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 0], [3, 3, 0, 3, 3, 0, 3, 0, 0, 3, 0, 3, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 3, 0, 0, 3], [0, 3, 3, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 3, 0], [0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 0, 3, 3, 0, 3], [0, 3, 0, 0, 3, 3, 0, 0, 3, 0, 3, 0, 0, 3, 3], [3, 0, 0, 0, 3, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0], [3, 0, 3, 0, 3, 0, 0, 3, 0, 0, 3, 0, 3, 0, 0], [3, 3, 0, 3, 0, 0, 3, 3, 3, 0, 3, 0, 3, 0, 3], [0, 0, 3, 0, 0, 0, 0, 3, 3, 0, 3, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 3, 0, 0], [0, 0, 0, 3, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1], [0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0], [1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1], [1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0], [1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0], [1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1], [1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1], [0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1], [0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1], [1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0], [1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1], [0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1], [0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0], [1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0], [0, 8, 0, 8, 8, 8, 8, 0, 0, 8, 0, 8, 0, 0, 0], [8, 0, 0, 8, 0, 8, 0, 8, 8, 0, 0, 8, 8, 8, 0], [0, 0, 8, 8, 0, 8, 0, 0, 0, 0, 0, 8, 8, 0, 8], [0, 8, 0, 0, 0, 8, 8, 0, 8, 0, 8, 8, 8, 0, 8], [0, 0, 8, 8, 8, 8, 0, 8, 8, 8, 8, 0, 0, 8, 0], [0, 8, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 8], [0, 8, 0, 8, 0, 8, 8, 0, 0, 8, 0, 8, 0, 0, 0], [0, 0, 0, 0, 0, 0, 8, 0, 8, 0, 0, 8, 8, 0, 8], [0, 8, 0, 0, 8, 8, 0, 8, 8, 0, 0, 8, 8, 8, 8], [0, 8, 0, 8, 8, 8, 0, 8, 8, 0, 0, 0, 8, 8, 0], [8, 8, 0, 0, 8, 8, 0, 0, 0, 8, 8, 0, 8, 0, 8], [8, 0, 0, 8, 8, 0, 0, 8, 8, 0, 8, 8, 8, 0, 0], [0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 0, 8, 0, 0, 0], [0, 0, 8, 0, 8, 0, 8, 0, 0, 0, 0, 0, 8, 0, 8], [8, 0, 0, 8, 8, 0, 8, 0, 8, 8, 0, 0, 8, 8, 8], [2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0], [2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0], [2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2], [2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0], [2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2], [0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2], [0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0], [0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2], [2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2], [2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0], [2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0], [2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2], [0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2], [2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0], [0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0]] -> [[3, 3, 0, 3, 0, 3, 0, 0, 3, 3, 3, 0, 0, 0, 0], [3, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 0], [3, 0, 3, 3, 0, 3, 0, 0, 0, 0, 0, 3, 0, 0, 3], [3, 3, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 0], [3, 3, 0, 3, 3, 0, 3, 0, 0, 3, 0, 3, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 3, 0, 0, 3], [0, 3, 3, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 3, 0], [0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 0, 3, 3, 0, 3], [0, 3, 0, 0, 3, 3, 0, 0, 3, 0, 3, 0, 0, 3, 3], [3, 0, 0, 0, 3, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0], [3, 0, 3, 0, 3, 0, 0, 3, 0, 0, 3, 0, 3, 0, 0], [3, 3, 0, 3, 0, 0, 3, 3, 3, 0, 3, 0, 3, 0, 3], [0, 0, 3, 0, 0, 0, 0, 3, 3, 0, 3, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 3, 0, 0], [0, 0, 0, 3, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0]]\nExample input-output arrays:\n[[1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1], [0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1], [1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0], [0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0], [1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0], [1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1], [0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1], [0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0], [0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1], [0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0], [1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1], [1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1], [1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0], [0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0], [1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0], [5, 5, 5, 0, 5, 0, 5, 0, 5, 0, 0, 5, 5, 0, 0], [5, 0, 5, 0, 5, 0, 0, 5, 5, 0, 5, 0, 5, 0, 0], [5, 5, 5, 5, 0, 5, 5, 0, 0, 5, 0, 5, 0, 5, 5], [5, 5, 5, 5, 0, 5, 0, 0, 0, 0, 5, 0, 0, 5, 5], [0, 5, 5, 5, 5, 0, 0, 5, 5, 0, 5, 0, 0, 0, 0], [0, 5, 5, 0, 5, 5, 5, 5, 0, 0, 5, 5, 5, 5, 0], [0, 0, 5, 5, 5, 5, 0, 0, 0, 5, 5, 5, 5, 5, 5], [5, 0, 0, 5, 5, 0, 0, 5, 5, 5, 5, 5, 0, 5, 5], [5, 5, 0, 5, 0, 0, 5, 0, 5, 5, 5, 0, 0, 5, 0], [0, 0, 0, 0, 5, 5, 0, 5, 0, 0, 5, 5, 5, 0, 0], [5, 0, 5, 0, 0, 5, 5, 5, 0, 5, 5, 0, 0, 0, 5], [0, 5, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 5, 5, 0], [0, 5, 0, 0, 5, 0, 5, 0, 0, 0, 0, 5, 0, 5, 5], [0, 5, 0, 0, 0, 0, 5, 5, 0, 0, 0, 5, 0, 0, 5], [0, 5, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5], [2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2], [0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0], [2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2], [2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2], [2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2], [2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0], [0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2], [2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0], [0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0], [0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0], [0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2], [0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2], [0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0]] -> [[3, 3, 3, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 3, 3], [0, 3, 0, 0, 3, 0, 3, 0, 0, 0, 0, 3, 3, 3, 3], [3, 3, 3, 3, 0, 3, 3, 0, 0, 0, 0, 0, 3, 0, 0], [3, 0, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 3, 3], [3, 0, 3, 3, 3, 0, 0, 0, 3, 0, 0, 0, 0, 3, 0], [3, 0, 3, 0, 0, 3, 0, 0, 0, 3, 0, 0, 3, 0, 3], [0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 3, 3, 3, 3, 0], [0, 0, 0, 3, 0, 0, 0, 3, 3, 0, 0, 3, 3, 3, 3], [3, 3, 0, 0, 3, 0, 3, 3, 0, 0, 3, 0, 0, 3, 0], [0, 0, 0, 0, 0, 3, 0, 3, 0, 0, 0, 0, 0, 0, 0], [0, 3, 3, 0, 3, 0, 3, 0, 3, 0, 0, 3, 0, 0, 0], [0, 3, 0, 0, 0, 3, 3, 3, 0, 3, 0, 0, 0, 3, 0], [0, 3, 3, 0, 0, 3, 3, 3, 3, 0, 0, 0, 0, 0, 3], [0, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 0, 0, 0, 3], [0, 0, 3, 0, 0, 0, 3, 0, 0, 3, 0, 3, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1], [0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1], [1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0], [0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0], [1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0], [1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1], [0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1], [0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0], [0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1], [0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0], [1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1], [1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1], [1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0], [0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0], [1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0], [8, 8, 8, 0, 8, 0, 8, 0, 8, 0, 0, 8, 8, 0, 0], [8, 0, 8, 0, 8, 0, 0, 8, 8, 0, 8, 0, 8, 0, 0], [8, 8, 8, 8, 0, 8, 8, 0, 0, 8, 0, 8, 0, 8, 8], [8, 8, 8, 8, 0, 8, 0, 0, 0, 0, 8, 0, 0, 8, 8], [0, 8, 8, 8, 8, 0, 0, 8, 8, 0, 8, 0, 0, 0, 0], [0, 8, 8, 0, 8, 8, 8, 8, 0, 0, 8, 8, 8, 8, 0], [0, 0, 8, 8, 8, 8, 0, 0, 0, 8, 8, 8, 8, 8, 8], [8, 0, 0, 8, 8, 0, 0, 8, 8, 8, 8, 8, 0, 8, 8], [8, 8, 0, 8, 0, 0, 8, 0, 8, 8, 8, 0, 0, 8, 0], [0, 0, 0, 0, 8, 8, 0, 8, 0, 0, 8, 8, 8, 0, 0], [8, 0, 8, 0, 0, 8, 8, 8, 0, 8, 8, 0, 0, 0, 8], [0, 8, 0, 8, 0, 0, 0, 0, 0, 8, 0, 0, 8, 8, 0], [0, 8, 0, 0, 8, 0, 8, 0, 0, 0, 0, 8, 0, 8, 8], [0, 8, 0, 0, 0, 0, 8, 8, 0, 0, 0, 8, 0, 0, 8], [0, 8, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 8], [2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2], [0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0], [2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2], [2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2], [2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2], [2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0], [0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2], [2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0], [0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0], [0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0], [0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2], [0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2], [0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
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+                        [
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+                        [
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+                        ],
+                        [
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+                        [
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+                        [
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+                        [
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+                            2,
+                            2,
+                            2,
+                            0
+                        ]
+                    ],
+                    "output": [
+                        [
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+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0
+                        ],
+                        [
+                            0,
+                            3,
+                            3,
+                            0,
+                            0,
+                            3,
+                            3,
+                            3,
+                            3,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            0,
+                            3
+                        ],
+                        [
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0,
+                            3,
+                            0,
+                            0,
+                            3,
+                            0,
+                            3,
+                            0,
+                            0,
+                            0
+                        ]
+                    ]
+                }
+            },
+            "Replicate 3": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1], [1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0], [0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1], [1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1], [1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0], [1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0], [0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0], [1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1], [0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1], [1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1], [0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1], [1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0], [0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1], [0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1], [1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0], [5, 0, 0, 5, 0, 0, 5, 0, 5, 0, 0, 0, 0, 5, 0], [5, 5, 5, 5, 0, 5, 5, 0, 0, 0, 5, 5, 0, 0, 0], [0, 0, 5, 5, 0, 5, 5, 5, 0, 5, 5, 0, 5, 5, 0], [5, 0, 0, 0, 0, 5, 5, 5, 0, 0, 5, 5, 0, 5, 5], [0, 5, 0, 5, 5, 0, 0, 0, 5, 0, 5, 5, 5, 5, 5], [5, 0, 0, 0, 0, 0, 5, 0, 5, 5, 0, 0, 5, 5, 5], [5, 5, 0, 0, 5, 5, 5, 0, 0, 5, 0, 5, 5, 0, 0], [0, 0, 5, 0, 5, 5, 5, 0, 0, 0, 5, 0, 5, 0, 0], [5, 0, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0, 5, 5, 0], [0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 5, 0, 5], [0, 0, 5, 0, 0, 0, 0, 5, 5, 0, 5, 0, 0, 5, 0], [5, 5, 0, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 0, 5], [5, 0, 0, 5, 5, 5, 5, 0, 0, 0, 5, 0, 0, 5, 0], [5, 5, 5, 5, 0, 0, 0, 5, 5, 0, 0, 5, 5, 5, 0], [5, 0, 0, 5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 5, 0], [0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2], [0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2], [2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0], [2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0], [0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0], [2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2], [2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2], [0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0], [2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0], [0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0], [2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2], [0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2], [2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0], [0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2]] -> [[0, 3, 3, 3, 3, 0, 3, 0, 0, 3, 3, 0, 0, 3, 3], [0, 3, 0, 0, 0, 0, 3, 0, 3, 0, 3, 0, 0, 0, 0], [0, 0, 0, 3, 3, 0, 3, 0, 0, 3, 0, 0, 0, 3, 0], [3, 3, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 3, 3, 0], [0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 3, 0, 0, 0, 0], [3, 3, 0, 0, 3, 0, 3, 0, 3, 3, 0, 0, 0, 3, 3], [3, 0, 3, 3, 0, 0, 0, 0, 3, 3, 0, 3, 3, 3, 0], [0, 3, 3, 0, 0, 3, 0, 0, 3, 0, 0, 0, 0, 3, 0], [3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0], [0, 0, 3, 3, 0, 3, 0, 3, 3, 3, 0, 0, 3, 0, 0], [0, 0, 3, 3, 0, 0, 0, 3, 0, 3, 0, 0, 0, 3, 3], [0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 3, 3], [3, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 3, 0, 0, 3, 0, 3, 0, 0, 0, 3, 3, 3, 0], [0, 0, 3, 3, 0, 0, 3, 0, 0, 3, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1], [1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0], [0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1], [1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1], [1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0], [1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0], [0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0], [1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1], [0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1], [1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1], [0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1], [1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0], [0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1], [0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1], [1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0], [7, 0, 0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 0, 7, 0], [7, 7, 7, 7, 0, 7, 7, 0, 0, 0, 7, 7, 0, 0, 0], [0, 0, 7, 7, 0, 7, 7, 7, 0, 7, 7, 0, 7, 7, 0], [7, 0, 0, 0, 0, 7, 7, 7, 0, 0, 7, 7, 0, 7, 7], [0, 7, 0, 7, 7, 0, 0, 0, 7, 0, 7, 7, 7, 7, 7], [7, 0, 0, 0, 0, 0, 7, 0, 7, 7, 0, 0, 7, 7, 7], [7, 7, 0, 0, 7, 7, 7, 0, 0, 7, 0, 7, 7, 0, 0], [0, 0, 7, 0, 7, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0], [7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 0, 7, 7, 0], [0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 7, 0, 7], [0, 0, 7, 0, 0, 0, 0, 7, 7, 0, 7, 0, 0, 7, 0], [7, 7, 0, 0, 0, 0, 0, 7, 7, 7, 0, 7, 7, 0, 7], [7, 0, 0, 7, 7, 7, 7, 0, 0, 0, 7, 0, 0, 7, 0], [7, 7, 7, 7, 0, 0, 0, 7, 7, 0, 0, 7, 7, 7, 0], [7, 0, 0, 7, 7, 7, 7, 0, 7, 0, 0, 0, 7, 7, 0], [0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2], [0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2], [2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0], [2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0], [0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0], [2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2], [2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2], [0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0], [2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0], [0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0], [2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2], [0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2], [2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0], [0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2]] -> [[0, 3, 3, 3, 3, 0, 3, 0, 0, 3, 3, 0, 0, 3, 3], [0, 3, 0, 0, 0, 0, 3, 0, 3, 0, 3, 0, 0, 0, 0], [0, 0, 0, 3, 3, 0, 3, 0, 0, 3, 0, 0, 0, 3, 0], [3, 3, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 3, 3, 0], [0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 3, 0, 0, 0, 0], [3, 3, 0, 0, 3, 0, 3, 0, 3, 3, 0, 0, 0, 3, 3], [3, 0, 3, 3, 0, 0, 0, 0, 3, 3, 0, 3, 3, 3, 0], [0, 3, 3, 0, 0, 3, 0, 0, 3, 0, 0, 0, 0, 3, 0], [3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0], [0, 0, 3, 3, 0, 3, 0, 3, 3, 3, 0, 0, 3, 0, 0], [0, 0, 3, 3, 0, 0, 0, 3, 0, 3, 0, 0, 0, 3, 3], [0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 3, 3], [3, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 3, 0, 0, 3, 0, 3, 0, 0, 0, 3, 3, 3, 0], [0, 0, 3, 3, 0, 0, 3, 0, 0, 3, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1], [0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0], [1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1], [1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0], [1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0], [1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1], [1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1], [0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1], [0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1], [1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0], [1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1], [0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1], [0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0], [1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0], [0, 5, 0, 5, 5, 5, 5, 0, 0, 5, 0, 5, 0, 0, 0], [5, 0, 0, 5, 0, 5, 0, 5, 5, 0, 0, 5, 5, 5, 0], [0, 0, 5, 5, 0, 5, 0, 0, 0, 0, 0, 5, 5, 0, 5], [0, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 5, 5, 0, 5], [0, 0, 5, 5, 5, 5, 0, 5, 5, 5, 5, 0, 0, 5, 0], [0, 5, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 5], [0, 5, 0, 5, 0, 5, 5, 0, 0, 5, 0, 5, 0, 0, 0], [0, 0, 0, 0, 0, 0, 5, 0, 5, 0, 0, 5, 5, 0, 5], [0, 5, 0, 0, 5, 5, 0, 5, 5, 0, 0, 5, 5, 5, 5], [0, 5, 0, 5, 5, 5, 0, 5, 5, 0, 0, 0, 5, 5, 0], [5, 5, 0, 0, 5, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5], [5, 0, 0, 5, 5, 0, 0, 5, 5, 0, 5, 5, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 5, 0, 0, 0], [0, 0, 5, 0, 5, 0, 5, 0, 0, 0, 0, 0, 5, 0, 5], [5, 0, 0, 5, 5, 0, 5, 0, 5, 5, 0, 0, 5, 5, 5], [2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0], [2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0], [2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2], [2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0], [2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2], [0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2], [0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0], [0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2], [2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2], [2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0], [2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0], [2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2], [0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2], [2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0], [0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0]] -> [[3, 3, 0, 3, 0, 3, 0, 0, 3, 3, 3, 0, 0, 0, 0], [3, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 0], [3, 0, 3, 3, 0, 3, 0, 0, 0, 0, 0, 3, 0, 0, 3], [3, 3, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 0], [3, 3, 0, 3, 3, 0, 3, 0, 0, 3, 0, 3, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 3, 0, 0, 3], [0, 3, 3, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 3, 0], [0, 0, 3, 3, 0, 0, 3, 3, 0, 0, 0, 3, 3, 0, 3], [0, 3, 0, 0, 3, 3, 0, 0, 3, 0, 3, 0, 0, 3, 3], [3, 0, 0, 0, 3, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0], [3, 0, 3, 0, 3, 0, 0, 3, 0, 0, 3, 0, 3, 0, 0], [3, 3, 0, 3, 0, 0, 3, 3, 3, 0, 3, 0, 3, 0, 3], [0, 0, 3, 0, 0, 0, 0, 3, 3, 0, 3, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 3, 0, 0], [0, 0, 0, 3, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1], [0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0], [1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1], [1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0], [1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0], [1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1], [1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1], [0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1], [0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1], [1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0], [1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1], [0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1], [0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0], [1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0], [0, 4, 0, 4, 4, 4, 4, 0, 0, 4, 0, 4, 0, 0, 0], [4, 0, 0, 4, 0, 4, 0, 4, 4, 0, 0, 4, 4, 4, 0], [0, 0, 4, 4, 0, 4, 0, 0, 0, 0, 0, 4, 4, 0, 4], [0, 4, 0, 0, 0, 4, 4, 0, 4, 0, 4, 4, 4, 0, 4], [0, 0, 4, 4, 4, 4, 0, 4, 4, 4, 4, 0, 0, 4, 0], [0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 4], [0, 4, 0, 4, 0, 4, 4, 0, 0, 4, 0, 4, 0, 0, 0], [0, 0, 0, 0, 0, 0, 4, 0, 4, 0, 0, 4, 4, 0, 4], [0, 4, 0, 0, 4, 4, 0, 4, 4, 0, 0, 4, 4, 4, 4], [0, 4, 0, 4, 4, 4, 0, 4, 4, 0, 0, 0, 4, 4, 0], [4, 4, 0, 0, 4, 4, 0, 0, 0, 4, 4, 0, 4, 0, 4], [4, 0, 0, 4, 4, 0, 0, 4, 4, 0, 4, 4, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 4, 0, 0, 0], [0, 0, 4, 0, 4, 0, 4, 0, 0, 0, 0, 0, 4, 0, 4], [4, 0, 0, 4, 4, 0, 4, 0, 4, 4, 0, 0, 4, 4, 4], [2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0], [2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0], [2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2], [2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0], [2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2], [0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2], [0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0], [0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2], [2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2], [2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0], [2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0], [2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2], [0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2], [2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0], [0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            1,
+                            0,
+                            1,
+                            1,
+                            0,
+                            0,
+                            1,
+                            1,
+                            1,
+                            0,
+                            1,
+                            0,
+                            0,
+                            0,
+                            1
+                        ],
+                        [
+                            0,
+                            0,
+                            1,
+                            0,
+                            1,
+                            0,
+                            0,
+                            1,
+                            1,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            1,
+                            1,
+                            0,
+                            0,
+                            0,
+                            1,
+                            0,
+                            0,
+                            0,
+                            1,
+                            0,
+                            1,
+                            0,
+                            1,
+                            1
+                        ],
+                        [
+                            1,
+                            1,
+                            0,
+                            0,
+                            1,
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+                    ],
+                    "output": [
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+                        [
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+                        [
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+                        [
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+                    ]
+                }
+            },
+            "Replicate 4": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1], [1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0], [0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1], [1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1], [1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0], [1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0], [0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0], [1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1], [0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1], [1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1], [0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1], [1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0], [0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1], [0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1], [1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0], [5, 0, 0, 5, 0, 0, 5, 0, 5, 0, 0, 0, 0, 5, 0], [5, 5, 5, 5, 0, 5, 5, 0, 0, 0, 5, 5, 0, 0, 0], [0, 0, 5, 5, 0, 5, 5, 5, 0, 5, 5, 0, 5, 5, 0], [5, 0, 0, 0, 0, 5, 5, 5, 0, 0, 5, 5, 0, 5, 5], [0, 5, 0, 5, 5, 0, 0, 0, 5, 0, 5, 5, 5, 5, 5], [5, 0, 0, 0, 0, 0, 5, 0, 5, 5, 0, 0, 5, 5, 5], [5, 5, 0, 0, 5, 5, 5, 0, 0, 5, 0, 5, 5, 0, 0], [0, 0, 5, 0, 5, 5, 5, 0, 0, 0, 5, 0, 5, 0, 0], [5, 0, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0, 5, 5, 0], [0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 5, 0, 5], [0, 0, 5, 0, 0, 0, 0, 5, 5, 0, 5, 0, 0, 5, 0], [5, 5, 0, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 0, 5], [5, 0, 0, 5, 5, 5, 5, 0, 0, 0, 5, 0, 0, 5, 0], [5, 5, 5, 5, 0, 0, 0, 5, 5, 0, 0, 5, 5, 5, 0], [5, 0, 0, 5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 5, 0], [0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2], [0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2], [2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0], [2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0], [0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0], [2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2], [2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2], [0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0], [2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0], [0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0], [2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2], [0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2], [2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0], [0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2]] -> [[0, 3, 3, 3, 3, 0, 3, 0, 0, 3, 3, 0, 0, 3, 3], [0, 3, 0, 0, 0, 0, 3, 0, 3, 0, 3, 0, 0, 0, 0], [0, 0, 0, 3, 3, 0, 3, 0, 0, 3, 0, 0, 0, 3, 0], [3, 3, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 3, 3, 0], [0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 3, 0, 0, 0, 0], [3, 3, 0, 0, 3, 0, 3, 0, 3, 3, 0, 0, 0, 3, 3], [3, 0, 3, 3, 0, 0, 0, 0, 3, 3, 0, 3, 3, 3, 0], [0, 3, 3, 0, 0, 3, 0, 0, 3, 0, 0, 0, 0, 3, 0], [3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0], [0, 0, 3, 3, 0, 3, 0, 3, 3, 3, 0, 0, 3, 0, 0], [0, 0, 3, 3, 0, 0, 0, 3, 0, 3, 0, 0, 0, 3, 3], [0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 3, 3], [3, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 3, 0, 0, 3, 0, 3, 0, 0, 0, 3, 3, 3, 0], [0, 0, 3, 3, 0, 0, 3, 0, 0, 3, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 5, 5, 5, 0, 5, 0, 0, 0, 5, 5, 0, 5, 5, 0], [0, 0, 5, 5, 5, 0, 5, 0, 0, 0, 5, 5, 0, 0, 0], [5, 5, 0, 5, 0, 0, 0, 0, 5, 0, 5, 0, 0, 5, 5], [0, 5, 0, 5, 0, 5, 0, 5, 5, 5, 0, 0, 5, 0, 0], [5, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0], [5, 0, 5, 5, 0, 0, 0, 5, 5, 5, 5, 0, 5, 5, 0], [0, 0, 0, 0, 0, 5, 5, 5, 5, 0, 0, 5, 0, 5, 5], [0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 0, 5, 5, 5, 0], [0, 5, 0, 5, 0, 5, 0, 5, 5, 5, 0, 5, 5, 5, 5], [5, 5, 0, 0, 5, 5, 5, 0, 0, 0, 0, 5, 5, 0, 0], [5, 0, 0, 5, 5, 5, 5, 0, 5, 5, 0, 5, 5, 0, 0], [5, 0, 0, 5, 5, 0, 0, 5, 5, 0, 5, 5, 0, 5, 0], [5, 0, 5, 5, 5, 5, 0, 5, 0, 0, 5, 5, 0, 0, 5], [0, 5, 5, 0, 5, 5, 5, 5, 0, 0, 0, 0, 5, 5, 5], [0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 5, 5, 0, 0], [2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0], [2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0], [0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2], [2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2], [2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0], [0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0], [2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0], [2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0], [2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0], [2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0], [0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0], [2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2], [2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0], [2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0], [2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2]] -> [[0, 3, 0, 3, 0, 3, 0, 0, 0, 0, 3, 0, 3, 3, 0], [0, 0, 3, 0, 3, 0, 3, 0, 0, 0, 0, 3, 0, 0, 0], [0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 3, 0, 0, 3, 3], [0, 0, 0, 3, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0], [3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 3, 0, 0, 0, 3, 0, 3, 3, 0, 3, 3, 0], [0, 0, 0, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 0, 3, 0, 0, 3, 3, 0], [0, 0, 0, 0, 0, 0, 0, 3, 0, 3, 0, 3, 0, 3, 0], [3, 0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 3, 3, 3, 3, 0, 0, 3, 0, 3, 0, 0, 0], [3, 0, 0, 3, 0, 0, 0, 0, 3, 0, 3, 0, 0, 0, 0], [3, 0, 0, 0, 0, 3, 0, 3, 0, 0, 3, 3, 0, 0, 0], [0, 3, 0, 0, 3, 0, 3, 0, 0, 0, 0, 0, 3, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0]]\nExample input-output arrays:\n[[0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1], [1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1], [0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1], [1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1], [0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1], [1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0], [0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1], [1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0], [0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0], [0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1], [0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1], [0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1], [1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1], [0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0], [1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1], [5, 0, 5, 5, 5, 0, 5, 5, 0, 5, 5, 5, 5, 0, 5], [5, 0, 0, 5, 0, 5, 5, 5, 5, 0, 0, 5, 5, 0, 0], [0, 5, 0, 0, 5, 5, 5, 5, 0, 5, 0, 5, 0, 0, 0], [5, 5, 5, 0, 0, 5, 0, 5, 0, 5, 0, 0, 5, 5, 5], [5, 5, 0, 0, 5, 5, 0, 5, 0, 0, 0, 5, 0, 5, 0], [5, 0, 5, 0, 5, 5, 5, 0, 0, 0, 0, 0, 5, 0, 0], [5, 5, 0, 0, 0, 5, 5, 0, 0, 0, 0, 5, 0, 5, 0], [0, 5, 0, 0, 5, 0, 5, 5, 5, 5, 5, 0, 0, 5, 0], [0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0], [0, 0, 5, 5, 0, 0, 5, 5, 0, 0, 0, 5, 0, 5, 0], [0, 5, 5, 5, 0, 5, 5, 5, 0, 0, 5, 0, 5, 5, 5], [5, 5, 0, 5, 0, 0, 5, 5, 0, 0, 0, 5, 5, 5, 5], [0, 0, 0, 5, 5, 0, 0, 0, 5, 0, 5, 5, 5, 0, 0], [0, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0, 5, 0, 5, 5], [5, 5, 5, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 5, 5], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0], [0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2], [2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0], [0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0], [2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2], [2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0], [0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0], [0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2], [2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2], [0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0], [0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2], [2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2], [2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0]] -> [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0], [0, 0, 3, 0, 0, 3, 3, 0, 0, 3, 0, 0, 0, 3, 3], [3, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0], [0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0], [3, 0, 0, 3, 0, 0, 3, 0, 0, 0, 3, 0, 3, 3, 0], [3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 3, 0, 3, 0], [0, 3, 0, 0, 3, 3, 3, 3, 3, 3, 0, 0, 0, 3, 0], [0, 0, 3, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 3, 0], [0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3], [0, 3, 3, 3, 0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0], [0, 3, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 3, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 3, 0, 0, 3, 3], [0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3], [3, 3, 3, 0, 0, 3, 0, 0, 0, 3, 3, 0, 0, 3, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1], [1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1], [0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1], [1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1], [0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1], [1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0], [0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1], [1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0], [0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0], [0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1], [0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1], [0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1], [1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1], [0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0], [1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1], [6, 0, 6, 6, 6, 0, 6, 6, 0, 6, 6, 6, 6, 0, 6], [6, 0, 0, 6, 0, 6, 6, 6, 6, 0, 0, 6, 6, 0, 0], [0, 6, 0, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0, 0, 0], [6, 6, 6, 0, 0, 6, 0, 6, 0, 6, 0, 0, 6, 6, 6], [6, 6, 0, 0, 6, 6, 0, 6, 0, 0, 0, 6, 0, 6, 0], [6, 0, 6, 0, 6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 0], [6, 6, 0, 0, 0, 6, 6, 0, 0, 0, 0, 6, 0, 6, 0], [0, 6, 0, 0, 6, 0, 6, 6, 6, 6, 6, 0, 0, 6, 0], [0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 0], [0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 0, 6, 0, 6, 0], [0, 6, 6, 6, 0, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6], [6, 6, 0, 6, 0, 0, 6, 6, 0, 0, 0, 6, 6, 6, 6], [0, 0, 0, 6, 6, 0, 0, 0, 6, 0, 6, 6, 6, 0, 0], [0, 0, 6, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 6, 6], [6, 6, 6, 0, 0, 0, 6, 6, 6, 0, 6, 6, 6, 6, 6], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0], [0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2], [2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0], [0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0], [2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2], [2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0], [0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0], [0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2], [2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2], [0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0], [0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2], [2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2], [2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            0,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            0,
+                            0,
+                            0,
+                            0,
+                            1,
+                            1,
+                            0,
+                            1
+                        ],
+                        [
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            0,
+                            1,
+                            1,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            1,
+                            1
+                        ],
+                        [
+                            0,
+                            1,
+                            1,
+                            0,
+                            0,
+                            0,
+                            1,
+                            0,
+                            1,
+                            1,
+                            0,
+                            0,
+                            1,
+                            1,
+                            1
+                        ],
+                        [
+                            1,
+                            1,
+                            1,
+                            0,
+                            1,
+                            0,
+                            0,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            1
+                        ],
+                        [
+                            0,
+                            1,
+                            1,
+                            0,
+                            1,
+                            1,
+                            0,
+                            1,
+                            0,
+                            0,
+                            1,
+                            1,
+                            1,
+                            0,
+                            1
+                        ],
+                        [
+                            1,
+                            1,
+                            1,
+                            1,
+                            1,
+                            0,
+                            1,
+                            0,
+                            1,
+                            0,
+                            1,
+                            1,
+                            1,
+                            1,
+                            0
+                        ],
+                        [
+                            0,
+                            1,
+                            0,
+                            0,
+                            1,
+                            0,
+                            0,
+                            1,
+                            0,
+                            0,
+                            0,
+                            1,
+                            0,
+                            0,
+                            1
+                        ],
+                        [
+                            1,
+                            0,
+                            0,
+                            1,
+                            0,
+                            1,
+                            0,
+                            0,
+                            0,
+                            1,
+                            0,
+                            0,
+                            0,
+                            1,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            1,
+                            1,
+                            1,
+                            0,
+                            0,
+                            1,
+                            0,
+                            1,
+                            0,
+                            0,
+                            1,
+                            1,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            1,
+                            0,
+                            0,
+                            0,
+                            0,
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+            }
+        }
+    },
+    "SCMtcbq!or!and!20x20": {
+        "L1": {
+            "Replicate 0": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[5, 0, 5, 0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 0, 5, 5, 5, 5, 0, 0], [0, 5, 0, 5, 0, 0, 5, 0, 0, 0, 0, 5, 0, 5, 5, 5, 5, 5, 0, 5], [5, 5, 5, 0, 0, 5, 5, 0, 5, 0, 5, 0, 5, 5, 0, 0, 5, 5, 0, 0], [0, 0, 5, 0, 5, 5, 0, 5, 5, 0, 5, 0, 0, 5, 5, 5, 5, 0, 0, 5], [5, 0, 5, 5, 5, 5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 5, 0, 5, 5, 5], [5, 5, 0, 5, 0, 5, 5, 0, 0, 5, 5, 5, 0, 5, 5, 5, 0, 5, 0, 0], [5, 5, 5, 0, 0, 5, 0, 5, 5, 5, 5, 0, 0, 5, 5, 5, 5, 5, 5, 5], [0, 5, 0, 0, 5, 0, 5, 5, 0, 5, 5, 5, 5, 5, 5, 5, 0, 0, 0, 5], [5, 5, 5, 5, 0, 5, 0, 0, 5, 5, 5, 5, 0, 0, 5, 5, 0, 0, 0, 5], [5, 0, 0, 5, 0, 0, 0, 5, 5, 0, 5, 5, 5, 0, 0, 0, 5, 0, 5, 0], [0, 0, 5, 0, 0, 0, 5, 5, 0, 0, 0, 5, 0, 5, 5, 0, 5, 0, 5, 0], [0, 0, 5, 5, 5, 0, 5, 0, 0, 0, 5, 0, 0, 5, 5, 0, 5, 5, 5, 0], [5, 0, 0, 5, 5, 0, 5, 0, 5, 0, 5, 5, 0, 0, 5, 5, 5, 5, 0, 0], [5, 5, 5, 5, 0, 0, 5, 0, 5, 0, 5, 5, 5, 0, 0, 0, 0, 5, 0, 5], [5, 0, 0, 0, 0, 5, 0, 0, 5, 0, 5, 5, 5, 0, 0, 0, 0, 5, 5, 5], [5, 0, 5, 5, 0, 0, 0, 0, 0, 0, 5, 5, 0, 5, 5, 0, 0, 5, 5, 5], [0, 5, 5, 5, 5, 0, 5, 5, 0, 5, 5, 0, 5, 5, 0, 0, 5, 5, 0, 0], [0, 0, 5, 5, 5, 0, 5, 5, 0, 5, 0, 5, 0, 5, 0, 5, 5, 5, 5, 0], [5, 0, 5, 5, 5, 0, 0, 0, 5, 5, 0, 0, 5, 0, 5, 5, 5, 5, 0, 5], [0, 0, 5, 0, 0, 0, 5, 5, 0, 5, 0, 0, 5, 5, 0, 0, 5, 0, 0, 5], [0, 0, 9, 0, 0, 0, 0, 9, 9, 0, 9, 0, 0, 0, 9, 9, 0, 9, 9, 9], [9, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 9, 0, 0, 9, 0, 0, 9, 0, 0], [0, 9, 9, 0, 9, 9, 9, 9, 9, 0, 9, 0, 9, 9, 9, 9, 9, 9, 9, 0], [9, 0, 9, 0, 0, 0, 9, 9, 0, 0, 9, 0, 0, 9, 0, 9, 0, 9, 9, 9], [0, 9, 0, 0, 0, 0, 9, 9, 0, 9, 9, 9, 0, 9, 9, 0, 9, 0, 9, 9], [9, 9, 9, 9, 0, 0, 9, 0, 0, 0, 0, 0, 9, 0, 0, 9, 9, 0, 9, 0], [9, 9, 9, 9, 0, 0, 0, 9, 9, 0, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0], [9, 9, 9, 0, 9, 0, 9, 0, 9, 0, 9, 9, 9, 9, 0, 9, 0, 9, 9, 0], [0, 9, 0, 9, 0, 9, 9, 9, 0, 9, 0, 0, 0, 0, 9, 9, 9, 0, 0, 9], [9, 0, 9, 0, 9, 9, 9, 0, 0, 0, 0, 9, 0, 0, 9, 9, 0, 0, 0, 0], [0, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 0], [0, 9, 0, 9, 0, 0, 9, 9, 9, 0, 9, 0, 0, 9, 0, 0, 9, 0, 9, 9], [0, 9, 0, 9, 9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 0, 9, 0, 9, 0, 0], [9, 9, 0, 0, 9, 0, 9, 0, 9, 9, 9, 9, 0, 0, 0, 0, 0, 0, 9, 0], [0, 9, 9, 9, 0, 9, 0, 9, 0, 9, 0, 0, 9, 0, 0, 0, 9, 0, 0, 9], [9, 9, 0, 9, 9, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0, 0, 0, 9, 9, 0], [9, 9, 9, 9, 9, 0, 9, 0, 0, 9, 0, 9, 0, 9, 0, 0, 0, 0, 0, 9], [0, 9, 9, 0, 0, 0, 0, 0, 9, 9, 0, 9, 0, 9, 9, 0, 9, 0, 0, 0], [0, 0, 0, 9, 0, 0, 0, 0, 9, 9, 9, 0, 0, 9, 0, 9, 9, 0, 9, 0], [9, 0, 0, 0, 9, 9, 0, 9, 9, 0, 0, 9, 9, 9, 9, 0, 9, 9, 9, 0], [6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 0, 6, 0, 6, 0, 6, 6, 0, 6, 6], [6, 0, 6, 6, 0, 6, 0, 0, 6, 0, 0, 6, 6, 0, 6, 0, 0, 6, 0, 6], [0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 6, 6, 0, 0, 6, 0, 0, 6, 0, 6], [0, 6, 0, 0, 6, 6, 6, 6, 0, 0, 0, 6, 0, 6, 0, 0, 0, 6, 6, 6], [6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 6, 6, 0, 6, 0, 6, 6, 6, 0], [0, 0, 6, 0, 0, 6, 6, 0, 6, 6, 0, 6, 6, 0, 6, 6, 0, 6, 0, 6], [0, 0, 6, 0, 6, 6, 0, 6, 0, 0, 0, 0, 0, 0, 6, 0, 0, 6, 0, 6], [6, 0, 0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6, 0, 0, 6, 6, 0, 0, 6], [0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0, 6], [6, 0, 0, 6, 0, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 6, 6, 0, 0, 0, 6, 0, 6, 0, 0, 6, 6, 0, 6, 0, 6, 6], [6, 0, 0, 6, 0, 6, 0, 6, 6, 0, 0, 6, 6, 0, 6, 6, 0, 0, 0, 6], [0, 6, 0, 6, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6], [0, 6, 6, 0, 0, 0, 6, 6, 0, 6, 0, 0, 0, 0, 0, 6, 0, 0, 6, 6], [0, 0, 6, 0, 0, 0, 0, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6, 0, 6, 0], [6, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6, 0], [0, 6, 0, 0, 6, 6, 0, 6, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 6, 6], [0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6], [0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 0, 6, 6, 0, 6, 6, 6, 0, 6, 0], [6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 6, 6, 6]] -> [[7, 0, 7, 0, 0, 0, 7, 0, 7, 0, 0, 7, 0, 0, 0, 7, 7, 0, 7, 7], [7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 7, 0, 7], [0, 0, 7, 0, 0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7, 0, 0], [0, 0, 0, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 7, 7], [7, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 0, 7, 0, 7, 7, 7, 0], [0, 0, 7, 0, 0, 7, 7, 0, 0, 7, 0, 7, 7, 0, 7, 7, 0, 7, 0, 0], [0, 0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 0, 7], [7, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 0, 0, 7, 0, 0, 0, 7], [0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7], [7, 0, 0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0], [0, 0, 0, 7, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7], [0, 7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 0, 0, 7, 0, 0], [0, 7, 7, 0, 0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7], [0, 0, 7, 0, 0, 0, 0, 7, 7, 7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0], [7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 7, 0, 0, 0, 7, 0], [0, 7, 0, 0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0, 7], [0, 7, 7, 7, 7, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0], [0, 0, 7, 7, 7, 0, 0, 0, 7, 0, 0, 0, 7, 0, 7, 7, 7, 0, 7, 0], [7, 0, 7, 0, 7, 7, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 7]]\nExample input-output arrays:\n[[0, 5, 0, 0, 5, 0, 5, 0, 5, 5, 0, 0, 5, 0, 5, 0, 5, 5, 5, 5], [5, 5, 0, 0, 0, 5, 0, 5, 5, 5, 0, 5, 5, 0, 5, 5, 5, 5, 5, 0], [0, 0, 0, 5, 0, 5, 5, 5, 0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 5, 0], [5, 5, 5, 5, 5, 0, 5, 5, 5, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 5], [0, 5, 0, 0, 5, 5, 0, 5, 5, 5, 0, 0, 5, 0, 5, 0, 5, 0, 5, 5], [0, 0, 5, 5, 0, 0, 0, 0, 5, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 5], [5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 0, 5, 5, 5, 5, 0, 5, 0, 5, 5], [0, 0, 5, 5, 5, 0, 5, 5, 5, 0, 0, 0, 0, 0, 5, 5, 0, 5, 0, 0], [0, 5, 5, 5, 5, 5, 0, 5, 0, 0, 0, 0, 5, 5, 0, 5, 5, 0, 5, 5], [0, 0, 5, 5, 0, 5, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 5, 5, 5, 0], [0, 0, 5, 5, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 5, 0, 0, 5, 0, 5], [5, 5, 5, 5, 0, 5, 5, 0, 0, 5, 0, 5, 5, 5, 5, 0, 0, 5, 0, 5], [5, 5, 0, 5, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 0, 0, 5, 5, 0], [5, 5, 5, 5, 5, 0, 5, 0, 5, 5, 5, 0, 0, 0, 0, 5, 5, 5, 5, 0], [5, 0, 0, 0, 5, 5, 5, 5, 0, 5, 0, 5, 0, 5, 5, 0, 0, 0, 0, 5], [0, 0, 5, 0, 0, 5, 0, 0, 0, 5, 5, 5, 0, 0, 5, 0, 5, 0, 0, 0], [0, 0, 5, 5, 0, 5, 5, 5, 5, 0, 0, 5, 5, 5, 5, 5, 0, 5, 0, 5], [5, 0, 0, 5, 5, 0, 5, 5, 0, 5, 0, 5, 0, 0, 0, 0, 5, 0, 5, 5], [0, 5, 5, 0, 5, 0, 0, 0, 0, 0, 5, 0, 5, 0, 5, 0, 0, 0, 5, 0], [5, 5, 0, 0, 5, 0, 0, 5, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0], [9, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 0, 0, 0, 9], [0, 0, 9, 9, 0, 0, 9, 0, 0, 0, 9, 9, 9, 9, 9, 0, 9, 9, 0, 0], [9, 9, 0, 9, 9, 9, 9, 0, 9, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 9], [0, 0, 0, 9, 9, 0, 0, 9, 9, 0, 9, 9, 9, 0, 9, 9, 9, 0, 9, 9], [0, 9, 9, 9, 9, 9, 9, 0, 0, 9, 0, 9, 0, 0, 9, 0, 9, 9, 9, 0], [9, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 9, 9, 0, 9], [9, 0, 0, 0, 0, 0, 9, 0, 0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9], [0, 0, 9, 0, 0, 9, 0, 9, 9, 9, 0, 9, 9, 9, 0, 9, 0, 9, 9, 9], [0, 0, 0, 9, 9, 9, 0, 9, 9, 9, 9, 0, 0, 9, 9, 9, 9, 0, 0, 0], [9, 0, 0, 0, 9, 9, 0, 0, 9, 9, 9, 0, 0, 0, 0, 9, 0, 0, 0, 9], [9, 0, 0, 9, 9, 9, 0, 9, 9, 9, 9, 9, 0, 0, 9, 0, 9, 0, 0, 0], [9, 9, 0, 9, 9, 0, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0, 0, 0, 9, 0], [9, 9, 9, 9, 9, 0, 9, 9, 9, 0, 0, 0, 0, 0, 9, 9, 9, 9, 9, 9], [9, 9, 9, 0, 0, 0, 9, 9, 9, 0, 0, 9, 9, 0, 9, 0, 0, 9, 0, 9], [0, 9, 9, 0, 9, 9, 9, 0, 0, 9, 9, 0, 9, 9, 9, 9, 0, 9, 9, 9], [9, 0, 9, 0, 9, 9, 9, 0, 9, 0, 9, 9, 0, 0, 9, 9, 0, 9, 9, 0], [0, 9, 0, 9, 0, 0, 9, 9, 9, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 0], [0, 9, 9, 9, 9, 9, 9, 0, 0, 9, 9, 9, 0, 9, 9, 0, 9, 9, 0, 0], [0, 9, 0, 9, 9, 9, 0, 0, 9, 9, 0, 9, 9, 0, 9, 0, 0, 9, 0, 9], [9, 9, 9, 0, 9, 0, 0, 9, 9, 0, 0, 9, 0, 0, 0, 0, 0, 9, 9, 0], [6, 0, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 0, 6, 6], [0, 0, 6, 0, 0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 0], [0, 0, 6, 0, 0, 6, 0, 6, 0, 0, 0, 6, 6, 0, 6, 0, 6, 6, 6, 0], [6, 0, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0], [6, 6, 0, 6, 6, 0, 6, 0, 6, 6, 0, 0, 0, 0, 6, 0, 6, 6, 0, 0], [0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 6, 6, 0, 0, 0, 6, 0, 0, 0, 0], [0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6], [6, 6, 0, 6, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 6, 0, 6, 0], [6, 6, 6, 0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 6], [6, 0, 0, 6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 6, 0, 0, 6, 6], [0, 0, 6, 6, 6, 6, 6, 0, 0, 0, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6], [0, 0, 6, 6, 6, 6, 0, 6, 0, 0, 6, 6, 6, 6, 6, 0, 0, 6, 6, 6], [6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 0, 6, 0, 6, 6], [0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 6, 0], [0, 6, 0, 6, 6, 0, 0, 0, 6, 6, 6, 0, 6, 6, 6, 6, 0, 6, 0, 0], [6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 6, 0, 6, 0, 0, 6, 0, 0, 0, 6], [0, 0, 0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 6, 0, 0], [0, 0, 6, 0, 0, 0, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 0, 6, 6, 0], [0, 0, 6, 0, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 0, 6, 0, 6], [6, 0, 0, 0, 6, 0, 0, 6, 6, 0, 6, 6, 6, 6, 0, 6, 6, 0, 6, 6]] -> [[7, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 0, 7, 7, 7, 0, 7, 0, 7, 7], [0, 0, 7, 0, 0, 7, 7, 0, 0, 7, 7, 0, 7, 0, 7, 7, 0, 0, 7, 0], [0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 7, 7, 0, 7, 0, 7, 7, 7, 0], [7, 0, 7, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0], [0, 7, 0, 7, 7, 0, 7, 0, 7, 7, 0, 0, 0, 0, 7, 0, 7, 7, 0, 0], [0, 0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0], [0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 7, 0, 7, 7, 7, 7, 7, 7], [0, 0, 0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 0, 0, 7, 0, 0, 0, 7, 0], [0, 7, 7, 0, 0, 7, 0, 7, 7, 0, 7, 0, 7, 7, 7, 7, 0, 0, 7, 7], [7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 7, 7], [0, 0, 7, 7, 7, 7, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0, 7], [0, 0, 7, 7, 7, 7, 0, 7, 0, 0, 7, 7, 7, 7, 7, 0, 0, 7, 7, 7], [7, 7, 7, 7, 0, 0, 7, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7], [0, 7, 7, 7, 7, 0, 7, 0, 7, 7, 0, 7, 7, 0, 0, 7, 7, 0, 7, 0], [0, 7, 0, 0, 7, 0, 0, 0, 0, 7, 7, 0, 7, 7, 7, 7, 0, 7, 0, 0], [7, 0, 7, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 0], [0, 0, 7, 0, 0, 0, 7, 0, 0, 7, 7, 7, 0, 0, 7, 0, 0, 7, 7, 0], [0, 0, 7, 0, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 0, 7, 0, 7], [7, 0, 0, 0, 7, 0, 0, 7, 7, 0, 7, 7, 7, 7, 0, 7, 7, 0, 7, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 5, 0, 5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 5, 5, 0, 0], [5, 5, 0, 0, 5, 5, 0, 5, 5, 5, 0, 5, 5, 0, 0, 0, 0, 0, 5, 0], [0, 5, 5, 5, 5, 0, 5, 5, 0, 5, 5, 0, 5, 5, 5, 5, 0, 0, 0, 0], [5, 0, 0, 5, 5, 0, 5, 5, 5, 5, 0, 0, 0, 0, 5, 5, 5, 5, 0, 0], [5, 5, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0, 5, 5, 0, 0, 5, 0, 0, 5], [5, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 5, 5, 5, 5, 0, 0, 0, 0], [0, 0, 5, 0, 5, 0, 0, 0, 0, 0, 5, 0, 5, 5, 0, 5, 5, 0, 5, 5], [5, 0, 0, 5, 5, 5, 5, 0, 5, 0, 0, 5, 5, 0, 5, 5, 5, 5, 0, 5], [0, 0, 0, 0, 5, 0, 5, 0, 0, 5, 0, 0, 5, 0, 5, 0, 0, 5, 5, 5], [5, 0, 0, 0, 5, 0, 0, 0, 5, 0, 5, 0, 5, 5, 0, 0, 5, 0, 5, 0], [5, 5, 5, 5, 5, 0, 0, 0, 5, 5, 0, 5, 5, 0, 0, 0, 0, 5, 5, 0], [0, 5, 5, 0, 5, 0, 0, 0, 0, 5, 0, 0, 5, 5, 0, 0, 0, 0, 5, 5], [5, 0, 5, 0, 5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 5, 5, 0, 5, 5, 0], [0, 0, 5, 5, 0, 0, 0, 5, 0, 5, 0, 5, 0, 5, 5, 0, 0, 0, 5, 5], [0, 5, 0, 0, 5, 5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 5, 0, 5], [5, 0, 5, 5, 5, 0, 0, 5, 0, 0, 0, 5, 5, 0, 0, 5, 5, 5, 0, 5], [5, 5, 0, 5, 5, 0, 5, 5, 5, 5, 5, 0, 0, 5, 0, 0, 0, 0, 5, 0], [0, 5, 0, 0, 5, 0, 5, 0, 0, 0, 5, 0, 5, 5, 5, 0, 0, 0, 5, 5], [5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 5, 0, 5, 0], [5, 5, 5, 5, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 5, 5, 0], [9, 9, 0, 0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 9, 9, 0, 9, 0, 0, 9], [0, 0, 9, 9, 9, 9, 9, 9, 0, 0, 0, 9, 0, 9, 0, 0, 9, 9, 0, 0], [9, 9, 0, 0, 9, 0, 0, 9, 0, 0, 0, 0, 0, 0, 9, 0, 0, 9, 9, 9], [9, 0, 0, 0, 9, 0, 9, 9, 0, 9, 0, 9, 9, 0, 9, 9, 9, 0, 9, 0], [9, 0, 9, 9, 0, 9, 0, 9, 9, 9, 9, 9, 0, 9, 9, 9, 0, 0, 9, 0], [0, 9, 0, 0, 0, 0, 0, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0, 9, 0, 0], [0, 9, 0, 9, 0, 9, 9, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 0, 0], [0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 9, 9, 0, 0, 0, 9, 9], [9, 0, 0, 9, 0, 0, 9, 9, 9, 0, 0, 9, 9, 0, 0, 0, 0, 9, 0, 9], [0, 0, 0, 9, 9, 0, 9, 9, 0, 9, 0, 9, 9, 0, 0, 0, 0, 0, 9, 0], [0, 0, 0, 9, 9, 9, 9, 0, 9, 0, 0, 9, 9, 9, 9, 9, 0, 0, 0, 9], [9, 9, 0, 0, 9, 9, 0, 9, 9, 0, 9, 0, 9, 9, 9, 0, 0, 0, 0, 9], [0, 9, 0, 9, 9, 0, 0, 9, 0, 9, 0, 9, 0, 0, 0, 0, 0, 0, 9, 9], [9, 9, 9, 9, 0, 0, 0, 9, 9, 0, 9, 9, 9, 0, 9, 9, 9, 0, 9, 9], [9, 9, 0, 0, 9, 9, 9, 9, 9, 0, 0, 0, 9, 9, 0, 0, 0, 0, 9, 0], [0, 9, 0, 9, 0, 9, 9, 0, 0, 9, 9, 9, 0, 9, 9, 0, 0, 9, 0, 0], [0, 0, 9, 0, 0, 9, 0, 0, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 0, 9], [9, 0, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 0, 9, 0], [9, 9, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0, 0, 0, 0, 0, 9, 0, 9, 9], [9, 9, 9, 0, 0, 0, 9, 0, 0, 9, 0, 9, 0, 0, 9, 9, 0, 9, 0, 9], [6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 0, 6, 0, 0, 6, 6, 0, 0, 0], [6, 6, 6, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 6, 0, 6, 6], [6, 6, 0, 6, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 6, 0, 0, 0, 6], [6, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 0], [6, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 6, 0], [6, 6, 6, 0, 0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6, 6], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 6, 6, 6, 0, 0], [6, 6, 0, 0, 0, 6, 6, 0, 0, 6, 0, 6, 0, 0, 0, 0, 6, 0, 6, 6], [0, 0, 0, 0, 6, 6, 6, 6, 6, 0, 6, 0, 6, 6, 6, 0, 0, 6, 6, 0], [0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 6, 0, 6, 0, 6, 0, 6, 0], [6, 0, 0, 6, 6, 0, 0, 0, 0, 6, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0], [6, 0, 0, 0, 0, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6, 6, 0], [0, 0, 0, 6, 6, 6, 6, 6, 0, 6, 0, 0, 0, 6, 6, 0, 6, 0, 0, 0], [0, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 0, 6, 0, 6, 0, 0], [0, 0, 6, 0, 0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 6, 0, 6, 0, 6, 0, 6], [0, 0, 6, 0, 0, 6, 6, 0, 6, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 6], [6, 6, 6, 6, 6, 0, 6, 0, 0, 6, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6], [6, 6, 0, 6, 0, 0, 0, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6, 0, 0, 0], [0, 6, 6, 0, 0, 0, 6, 0, 0, 6, 6, 6, 6, 0, 6, 0, 6, 6, 6, 0]] -> [[7, 7, 0, 0, 7, 7, 7, 0, 7, 7, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0], [7, 7, 7, 0, 7, 7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0], [7, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 7], [7, 0, 0, 7, 0, 0, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7, 7, 0, 7, 0], [7, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 7, 7, 7, 7, 0, 0, 7, 0], [7, 7, 0, 0, 0, 0, 0, 7, 0, 0, 7, 7, 0, 0, 7, 0, 0, 0, 0, 0], [0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 7, 7, 0, 0, 0], [7, 7, 0, 0, 0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7], [0, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 7, 7, 0], [0, 0, 0, 7, 7, 0, 7, 7, 7, 0, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0], [7, 0, 0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0], [7, 0, 0, 0, 0, 7, 0, 0, 7, 7, 7, 0, 7, 7, 0, 0, 0, 0, 7, 0], [0, 0, 0, 7, 7, 0, 7, 7, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0], [0, 0, 7, 7, 0, 0, 0, 0, 0, 7, 7, 7, 7, 0, 0, 7, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 7, 7, 7, 0, 7, 7, 0, 0, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7], [0, 0, 7, 0, 0, 7, 7, 0, 7, 0, 7, 0, 7, 7, 0, 7, 7, 0, 0, 7], [7, 7, 0, 0, 7, 0, 7, 0, 0, 7, 0, 7, 7, 0, 7, 7, 0, 0, 7, 7], [7, 7, 0, 7, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0], [0, 7, 7, 0, 0, 0, 7, 0, 0, 7, 0, 7, 0, 0, 7, 0, 7, 7, 7, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 0, 0, 0, 5, 0, 5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 5, 5, 0, 0], [5, 5, 0, 0, 5, 5, 0, 5, 5, 5, 0, 5, 5, 0, 0, 0, 0, 0, 5, 0], [0, 5, 5, 5, 5, 0, 5, 5, 0, 5, 5, 0, 5, 5, 5, 5, 0, 0, 0, 0], [5, 0, 0, 5, 5, 0, 5, 5, 5, 5, 0, 0, 0, 0, 5, 5, 5, 5, 0, 0], [5, 5, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0, 5, 5, 0, 0, 5, 0, 0, 5], [5, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 5, 5, 5, 5, 0, 0, 0, 0], [0, 0, 5, 0, 5, 0, 0, 0, 0, 0, 5, 0, 5, 5, 0, 5, 5, 0, 5, 5], [5, 0, 0, 5, 5, 5, 5, 0, 5, 0, 0, 5, 5, 0, 5, 5, 5, 5, 0, 5], [0, 0, 0, 0, 5, 0, 5, 0, 0, 5, 0, 0, 5, 0, 5, 0, 0, 5, 5, 5], [5, 0, 0, 0, 5, 0, 0, 0, 5, 0, 5, 0, 5, 5, 0, 0, 5, 0, 5, 0], [5, 5, 5, 5, 5, 0, 0, 0, 5, 5, 0, 5, 5, 0, 0, 0, 0, 5, 5, 0], [0, 5, 5, 0, 5, 0, 0, 0, 0, 5, 0, 0, 5, 5, 0, 0, 0, 0, 5, 5], [5, 0, 5, 0, 5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 5, 5, 0, 5, 5, 0], [0, 0, 5, 5, 0, 0, 0, 5, 0, 5, 0, 5, 0, 5, 5, 0, 0, 0, 5, 5], [0, 5, 0, 0, 5, 5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 5, 0, 5], [5, 0, 5, 5, 5, 0, 0, 5, 0, 0, 0, 5, 5, 0, 0, 5, 5, 5, 0, 5], [5, 5, 0, 5, 5, 0, 5, 5, 5, 5, 5, 0, 0, 5, 0, 0, 0, 0, 5, 0], [0, 5, 0, 0, 5, 0, 5, 0, 0, 0, 5, 0, 5, 5, 5, 0, 0, 0, 5, 5], [5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 5, 0, 5, 0], [5, 5, 5, 5, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 5, 5, 0], [8, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 8, 0, 8, 0, 0, 8], [0, 0, 8, 8, 8, 8, 8, 8, 0, 0, 0, 8, 0, 8, 0, 0, 8, 8, 0, 0], [8, 8, 0, 0, 8, 0, 0, 8, 0, 0, 0, 0, 0, 0, 8, 0, 0, 8, 8, 8], [8, 0, 0, 0, 8, 0, 8, 8, 0, 8, 0, 8, 8, 0, 8, 8, 8, 0, 8, 0], [8, 0, 8, 8, 0, 8, 0, 8, 8, 8, 8, 8, 0, 8, 8, 8, 0, 0, 8, 0], [0, 8, 0, 0, 0, 0, 0, 8, 8, 8, 8, 8, 0, 8, 0, 0, 0, 8, 0, 0], [0, 8, 0, 8, 0, 8, 8, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 0, 0], [0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 8, 0, 0, 0, 8, 8], [8, 0, 0, 8, 0, 0, 8, 8, 8, 0, 0, 8, 8, 0, 0, 0, 0, 8, 0, 8], [0, 0, 0, 8, 8, 0, 8, 8, 0, 8, 0, 8, 8, 0, 0, 0, 0, 0, 8, 0], [0, 0, 0, 8, 8, 8, 8, 0, 8, 0, 0, 8, 8, 8, 8, 8, 0, 0, 0, 8], [8, 8, 0, 0, 8, 8, 0, 8, 8, 0, 8, 0, 8, 8, 8, 0, 0, 0, 0, 8], [0, 8, 0, 8, 8, 0, 0, 8, 0, 8, 0, 8, 0, 0, 0, 0, 0, 0, 8, 8], [8, 8, 8, 8, 0, 0, 0, 8, 8, 0, 8, 8, 8, 0, 8, 8, 8, 0, 8, 8], [8, 8, 0, 0, 8, 8, 8, 8, 8, 0, 0, 0, 8, 8, 0, 0, 0, 0, 8, 0], [0, 8, 0, 8, 0, 8, 8, 0, 0, 8, 8, 8, 0, 8, 8, 0, 0, 8, 0, 0], [0, 0, 8, 0, 0, 8, 0, 0, 0, 8, 8, 0, 8, 8, 0, 8, 8, 0, 0, 8], [8, 0, 0, 0, 0, 8, 0, 8, 0, 8, 0, 8, 0, 8, 8, 8, 0, 0, 8, 0], [8, 8, 8, 8, 8, 8, 8, 0, 8, 0, 0, 0, 0, 0, 0, 0, 8, 0, 8, 8], [8, 8, 8, 0, 0, 0, 8, 0, 0, 8, 0, 8, 0, 0, 8, 8, 0, 8, 0, 8], [6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 0, 6, 0, 0, 6, 6, 0, 0, 0], [6, 6, 6, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 6, 0, 6, 6], [6, 6, 0, 6, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 6, 0, 0, 0, 6], [6, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 0], [6, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 6, 0], [6, 6, 6, 0, 0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6, 6], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 6, 6, 6, 0, 0], [6, 6, 0, 0, 0, 6, 6, 0, 0, 6, 0, 6, 0, 0, 0, 0, 6, 0, 6, 6], [0, 0, 0, 0, 6, 6, 6, 6, 6, 0, 6, 0, 6, 6, 6, 0, 0, 6, 6, 0], [0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 6, 0, 6, 0, 6, 0, 6, 0], [6, 0, 0, 6, 6, 0, 0, 0, 0, 6, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0], [6, 0, 0, 0, 0, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6, 6, 0], [0, 0, 0, 6, 6, 6, 6, 6, 0, 6, 0, 0, 0, 6, 6, 0, 6, 0, 0, 0], [0, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 0, 6, 0, 6, 0, 0], [0, 0, 6, 0, 0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 6, 0, 6, 0, 6, 0, 6], [0, 0, 6, 0, 0, 6, 6, 0, 6, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 6], [6, 6, 6, 6, 6, 0, 6, 0, 0, 6, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6], [6, 6, 0, 6, 0, 0, 0, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6, 0, 0, 0], [0, 6, 6, 0, 0, 0, 6, 0, 0, 6, 6, 6, 6, 0, 6, 0, 6, 6, 6, 0]] -> ",
+                "test": {
+                    "input": [
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+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            7,
+                            7,
+                            7,
+                            7,
+                            0,
+                            7,
+                            7,
+                            0,
+                            0,
+                            7,
+                            7,
+                            0,
+                            7,
+                            0,
+                            7,
+                            0,
+                            7,
+                            0,
+                            7
+                        ],
+                        [
+                            0,
+                            0,
+                            7,
+                            0,
+                            0,
+                            7,
+                            7,
+                            0,
+                            7,
+                            0,
+                            7,
+                            0,
+                            7,
+                            7,
+                            0,
+                            7,
+                            7,
+                            0,
+                            0,
+                            7
+                        ],
+                        [
+                            7,
+                            7,
+                            0,
+                            0,
+                            7,
+                            0,
+                            7,
+                            0,
+                            0,
+                            7,
+                            0,
+                            7,
+                            7,
+                            0,
+                            7,
+                            7,
+                            0,
+                            0,
+                            7,
+                            7
+                        ],
+                        [
+                            7,
+                            7,
+                            0,
+                            7,
+                            0,
+                            0,
+                            0,
+                            0,
+                            7,
+                            7,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            7,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            7,
+                            7,
+                            0,
+                            0,
+                            0,
+                            7,
+                            0,
+                            0,
+                            7,
+                            0,
+                            7,
+                            0,
+                            0,
+                            7,
+                            0,
+                            7,
+                            7,
+                            7,
+                            0
+                        ]
+                    ]
+                }
+            },
+            "Replicate 1": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[5, 0, 5, 0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 0, 5, 5, 5, 5, 0, 0], [0, 5, 0, 5, 0, 0, 5, 0, 0, 0, 0, 5, 0, 5, 5, 5, 5, 5, 0, 5], [5, 5, 5, 0, 0, 5, 5, 0, 5, 0, 5, 0, 5, 5, 0, 0, 5, 5, 0, 0], [0, 0, 5, 0, 5, 5, 0, 5, 5, 0, 5, 0, 0, 5, 5, 5, 5, 0, 0, 5], [5, 0, 5, 5, 5, 5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 5, 0, 5, 5, 5], [5, 5, 0, 5, 0, 5, 5, 0, 0, 5, 5, 5, 0, 5, 5, 5, 0, 5, 0, 0], [5, 5, 5, 0, 0, 5, 0, 5, 5, 5, 5, 0, 0, 5, 5, 5, 5, 5, 5, 5], [0, 5, 0, 0, 5, 0, 5, 5, 0, 5, 5, 5, 5, 5, 5, 5, 0, 0, 0, 5], [5, 5, 5, 5, 0, 5, 0, 0, 5, 5, 5, 5, 0, 0, 5, 5, 0, 0, 0, 5], [5, 0, 0, 5, 0, 0, 0, 5, 5, 0, 5, 5, 5, 0, 0, 0, 5, 0, 5, 0], [0, 0, 5, 0, 0, 0, 5, 5, 0, 0, 0, 5, 0, 5, 5, 0, 5, 0, 5, 0], [0, 0, 5, 5, 5, 0, 5, 0, 0, 0, 5, 0, 0, 5, 5, 0, 5, 5, 5, 0], [5, 0, 0, 5, 5, 0, 5, 0, 5, 0, 5, 5, 0, 0, 5, 5, 5, 5, 0, 0], [5, 5, 5, 5, 0, 0, 5, 0, 5, 0, 5, 5, 5, 0, 0, 0, 0, 5, 0, 5], [5, 0, 0, 0, 0, 5, 0, 0, 5, 0, 5, 5, 5, 0, 0, 0, 0, 5, 5, 5], [5, 0, 5, 5, 0, 0, 0, 0, 0, 0, 5, 5, 0, 5, 5, 0, 0, 5, 5, 5], [0, 5, 5, 5, 5, 0, 5, 5, 0, 5, 5, 0, 5, 5, 0, 0, 5, 5, 0, 0], [0, 0, 5, 5, 5, 0, 5, 5, 0, 5, 0, 5, 0, 5, 0, 5, 5, 5, 5, 0], [5, 0, 5, 5, 5, 0, 0, 0, 5, 5, 0, 0, 5, 0, 5, 5, 5, 5, 0, 5], [0, 0, 5, 0, 0, 0, 5, 5, 0, 5, 0, 0, 5, 5, 0, 0, 5, 0, 0, 5], [0, 0, 9, 0, 0, 0, 0, 9, 9, 0, 9, 0, 0, 0, 9, 9, 0, 9, 9, 9], [9, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 9, 0, 0, 9, 0, 0, 9, 0, 0], [0, 9, 9, 0, 9, 9, 9, 9, 9, 0, 9, 0, 9, 9, 9, 9, 9, 9, 9, 0], [9, 0, 9, 0, 0, 0, 9, 9, 0, 0, 9, 0, 0, 9, 0, 9, 0, 9, 9, 9], [0, 9, 0, 0, 0, 0, 9, 9, 0, 9, 9, 9, 0, 9, 9, 0, 9, 0, 9, 9], [9, 9, 9, 9, 0, 0, 9, 0, 0, 0, 0, 0, 9, 0, 0, 9, 9, 0, 9, 0], [9, 9, 9, 9, 0, 0, 0, 9, 9, 0, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0], [9, 9, 9, 0, 9, 0, 9, 0, 9, 0, 9, 9, 9, 9, 0, 9, 0, 9, 9, 0], [0, 9, 0, 9, 0, 9, 9, 9, 0, 9, 0, 0, 0, 0, 9, 9, 9, 0, 0, 9], [9, 0, 9, 0, 9, 9, 9, 0, 0, 0, 0, 9, 0, 0, 9, 9, 0, 0, 0, 0], [0, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 0], [0, 9, 0, 9, 0, 0, 9, 9, 9, 0, 9, 0, 0, 9, 0, 0, 9, 0, 9, 9], [0, 9, 0, 9, 9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 0, 9, 0, 9, 0, 0], [9, 9, 0, 0, 9, 0, 9, 0, 9, 9, 9, 9, 0, 0, 0, 0, 0, 0, 9, 0], [0, 9, 9, 9, 0, 9, 0, 9, 0, 9, 0, 0, 9, 0, 0, 0, 9, 0, 0, 9], [9, 9, 0, 9, 9, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0, 0, 0, 9, 9, 0], [9, 9, 9, 9, 9, 0, 9, 0, 0, 9, 0, 9, 0, 9, 0, 0, 0, 0, 0, 9], [0, 9, 9, 0, 0, 0, 0, 0, 9, 9, 0, 9, 0, 9, 9, 0, 9, 0, 0, 0], [0, 0, 0, 9, 0, 0, 0, 0, 9, 9, 9, 0, 0, 9, 0, 9, 9, 0, 9, 0], [9, 0, 0, 0, 9, 9, 0, 9, 9, 0, 0, 9, 9, 9, 9, 0, 9, 9, 9, 0], [6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 0, 6, 0, 6, 0, 6, 6, 0, 6, 6], [6, 0, 6, 6, 0, 6, 0, 0, 6, 0, 0, 6, 6, 0, 6, 0, 0, 6, 0, 6], [0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 6, 6, 0, 0, 6, 0, 0, 6, 0, 6], [0, 6, 0, 0, 6, 6, 6, 6, 0, 0, 0, 6, 0, 6, 0, 0, 0, 6, 6, 6], [6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 6, 6, 0, 6, 0, 6, 6, 6, 0], [0, 0, 6, 0, 0, 6, 6, 0, 6, 6, 0, 6, 6, 0, 6, 6, 0, 6, 0, 6], [0, 0, 6, 0, 6, 6, 0, 6, 0, 0, 0, 0, 0, 0, 6, 0, 0, 6, 0, 6], [6, 0, 0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6, 0, 0, 6, 6, 0, 0, 6], [0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0, 6], [6, 0, 0, 6, 0, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 6, 6, 0, 0, 0, 6, 0, 6, 0, 0, 6, 6, 0, 6, 0, 6, 6], [6, 0, 0, 6, 0, 6, 0, 6, 6, 0, 0, 6, 6, 0, 6, 6, 0, 0, 0, 6], [0, 6, 0, 6, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6], [0, 6, 6, 0, 0, 0, 6, 6, 0, 6, 0, 0, 0, 0, 0, 6, 0, 0, 6, 6], [0, 0, 6, 0, 0, 0, 0, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6, 0, 6, 0], [6, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6, 0], [0, 6, 0, 0, 6, 6, 0, 6, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 6, 6], [0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6], [0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 0, 6, 6, 0, 6, 6, 6, 0, 6, 0], [6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 6, 6, 6]] -> [[7, 0, 7, 0, 0, 0, 7, 0, 7, 0, 0, 7, 0, 0, 0, 7, 7, 0, 7, 7], [7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 7, 0, 7], [0, 0, 7, 0, 0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7, 0, 0], [0, 0, 0, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 7, 7], [7, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 0, 7, 0, 7, 7, 7, 0], [0, 0, 7, 0, 0, 7, 7, 0, 0, 7, 0, 7, 7, 0, 7, 7, 0, 7, 0, 0], [0, 0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 0, 7], [7, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 0, 0, 7, 0, 0, 0, 7], [0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7], [7, 0, 0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0], [0, 0, 0, 7, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7], [0, 7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 0, 0, 7, 0, 0], [0, 7, 7, 0, 0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7], [0, 0, 7, 0, 0, 0, 0, 7, 7, 7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0], [7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 7, 0, 0, 0, 7, 0], [0, 7, 0, 0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0, 7], [0, 7, 7, 7, 7, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0], [0, 0, 7, 7, 7, 0, 0, 0, 7, 0, 0, 0, 7, 0, 7, 7, 7, 0, 7, 0], [7, 0, 7, 0, 7, 7, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 7]]\nExample input-output arrays:\n[[5, 0, 5, 0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 0, 5, 5, 5, 5, 0, 0], [0, 5, 0, 5, 0, 0, 5, 0, 0, 0, 0, 5, 0, 5, 5, 5, 5, 5, 0, 5], [5, 5, 5, 0, 0, 5, 5, 0, 5, 0, 5, 0, 5, 5, 0, 0, 5, 5, 0, 0], [0, 0, 5, 0, 5, 5, 0, 5, 5, 0, 5, 0, 0, 5, 5, 5, 5, 0, 0, 5], [5, 0, 5, 5, 5, 5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 5, 0, 5, 5, 5], [5, 5, 0, 5, 0, 5, 5, 0, 0, 5, 5, 5, 0, 5, 5, 5, 0, 5, 0, 0], [5, 5, 5, 0, 0, 5, 0, 5, 5, 5, 5, 0, 0, 5, 5, 5, 5, 5, 5, 5], [0, 5, 0, 0, 5, 0, 5, 5, 0, 5, 5, 5, 5, 5, 5, 5, 0, 0, 0, 5], [5, 5, 5, 5, 0, 5, 0, 0, 5, 5, 5, 5, 0, 0, 5, 5, 0, 0, 0, 5], [5, 0, 0, 5, 0, 0, 0, 5, 5, 0, 5, 5, 5, 0, 0, 0, 5, 0, 5, 0], [0, 0, 5, 0, 0, 0, 5, 5, 0, 0, 0, 5, 0, 5, 5, 0, 5, 0, 5, 0], [0, 0, 5, 5, 5, 0, 5, 0, 0, 0, 5, 0, 0, 5, 5, 0, 5, 5, 5, 0], [5, 0, 0, 5, 5, 0, 5, 0, 5, 0, 5, 5, 0, 0, 5, 5, 5, 5, 0, 0], [5, 5, 5, 5, 0, 0, 5, 0, 5, 0, 5, 5, 5, 0, 0, 0, 0, 5, 0, 5], [5, 0, 0, 0, 0, 5, 0, 0, 5, 0, 5, 5, 5, 0, 0, 0, 0, 5, 5, 5], [5, 0, 5, 5, 0, 0, 0, 0, 0, 0, 5, 5, 0, 5, 5, 0, 0, 5, 5, 5], [0, 5, 5, 5, 5, 0, 5, 5, 0, 5, 5, 0, 5, 5, 0, 0, 5, 5, 0, 0], [0, 0, 5, 5, 5, 0, 5, 5, 0, 5, 0, 5, 0, 5, 0, 5, 5, 5, 5, 0], [5, 0, 5, 5, 5, 0, 0, 0, 5, 5, 0, 0, 5, 0, 5, 5, 5, 5, 0, 5], [0, 0, 5, 0, 0, 0, 5, 5, 0, 5, 0, 0, 5, 5, 0, 0, 5, 0, 0, 5], [0, 0, 9, 0, 0, 0, 0, 9, 9, 0, 9, 0, 0, 0, 9, 9, 0, 9, 9, 9], [9, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 9, 0, 0, 9, 0, 0, 9, 0, 0], [0, 9, 9, 0, 9, 9, 9, 9, 9, 0, 9, 0, 9, 9, 9, 9, 9, 9, 9, 0], [9, 0, 9, 0, 0, 0, 9, 9, 0, 0, 9, 0, 0, 9, 0, 9, 0, 9, 9, 9], [0, 9, 0, 0, 0, 0, 9, 9, 0, 9, 9, 9, 0, 9, 9, 0, 9, 0, 9, 9], [9, 9, 9, 9, 0, 0, 9, 0, 0, 0, 0, 0, 9, 0, 0, 9, 9, 0, 9, 0], [9, 9, 9, 9, 0, 0, 0, 9, 9, 0, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0], [9, 9, 9, 0, 9, 0, 9, 0, 9, 0, 9, 9, 9, 9, 0, 9, 0, 9, 9, 0], [0, 9, 0, 9, 0, 9, 9, 9, 0, 9, 0, 0, 0, 0, 9, 9, 9, 0, 0, 9], [9, 0, 9, 0, 9, 9, 9, 0, 0, 0, 0, 9, 0, 0, 9, 9, 0, 0, 0, 0], [0, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 0], [0, 9, 0, 9, 0, 0, 9, 9, 9, 0, 9, 0, 0, 9, 0, 0, 9, 0, 9, 9], [0, 9, 0, 9, 9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 0, 9, 0, 9, 0, 0], [9, 9, 0, 0, 9, 0, 9, 0, 9, 9, 9, 9, 0, 0, 0, 0, 0, 0, 9, 0], [0, 9, 9, 9, 0, 9, 0, 9, 0, 9, 0, 0, 9, 0, 0, 0, 9, 0, 0, 9], [9, 9, 0, 9, 9, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0, 0, 0, 9, 9, 0], [9, 9, 9, 9, 9, 0, 9, 0, 0, 9, 0, 9, 0, 9, 0, 0, 0, 0, 0, 9], [0, 9, 9, 0, 0, 0, 0, 0, 9, 9, 0, 9, 0, 9, 9, 0, 9, 0, 0, 0], [0, 0, 0, 9, 0, 0, 0, 0, 9, 9, 9, 0, 0, 9, 0, 9, 9, 0, 9, 0], [9, 0, 0, 0, 9, 9, 0, 9, 9, 0, 0, 9, 9, 9, 9, 0, 9, 9, 9, 0], [6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 0, 6, 0, 6, 0, 6, 6, 0, 6, 6], [6, 0, 6, 6, 0, 6, 0, 0, 6, 0, 0, 6, 6, 0, 6, 0, 0, 6, 0, 6], [0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 6, 6, 0, 0, 6, 0, 0, 6, 0, 6], [0, 6, 0, 0, 6, 6, 6, 6, 0, 0, 0, 6, 0, 6, 0, 0, 0, 6, 6, 6], [6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 6, 6, 0, 6, 0, 6, 6, 6, 0], [0, 0, 6, 0, 0, 6, 6, 0, 6, 6, 0, 6, 6, 0, 6, 6, 0, 6, 0, 6], [0, 0, 6, 0, 6, 6, 0, 6, 0, 0, 0, 0, 0, 0, 6, 0, 0, 6, 0, 6], [6, 0, 0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6, 0, 0, 6, 6, 0, 0, 6], [0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0, 6], [6, 0, 0, 6, 0, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 6, 6, 0, 0, 0, 6, 0, 6, 0, 0, 6, 6, 0, 6, 0, 6, 6], [6, 0, 0, 6, 0, 6, 0, 6, 6, 0, 0, 6, 6, 0, 6, 6, 0, 0, 0, 6], [0, 6, 0, 6, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6], [0, 6, 6, 0, 0, 0, 6, 6, 0, 6, 0, 0, 0, 0, 0, 6, 0, 0, 6, 6], [0, 0, 6, 0, 0, 0, 0, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6, 0, 6, 0], [6, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6, 0], [0, 6, 0, 0, 6, 6, 0, 6, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 6, 6], [0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6], [0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 0, 6, 6, 0, 6, 6, 6, 0, 6, 0], [6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 6, 6, 6]] -> [[7, 0, 7, 0, 0, 0, 7, 0, 7, 0, 0, 7, 0, 0, 0, 7, 7, 0, 7, 7], [7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 7, 0, 7], [0, 0, 7, 0, 0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7, 0, 0], [0, 0, 0, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 7, 7], [7, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 0, 7, 0, 7, 7, 7, 0], [0, 0, 7, 0, 0, 7, 7, 0, 0, 7, 0, 7, 7, 0, 7, 7, 0, 7, 0, 0], [0, 0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 0, 7], [7, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 0, 0, 7, 0, 0, 0, 7], [0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7], [7, 0, 0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0], [0, 0, 0, 7, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7], [0, 7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 0, 0, 7, 0, 0], [0, 7, 7, 0, 0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7], [0, 0, 7, 0, 0, 0, 0, 7, 7, 7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0], [7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 7, 0, 0, 0, 7, 0], [0, 7, 0, 0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0, 7], [0, 7, 7, 7, 7, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0], [0, 0, 7, 7, 7, 0, 0, 0, 7, 0, 0, 0, 7, 0, 7, 7, 7, 0, 7, 0], [7, 0, 7, 0, 7, 7, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 7]]\nExample input-output arrays:\n[[0, 0, 0, 0, 5, 0, 5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 5, 5, 0, 0], [5, 5, 0, 0, 5, 5, 0, 5, 5, 5, 0, 5, 5, 0, 0, 0, 0, 0, 5, 0], [0, 5, 5, 5, 5, 0, 5, 5, 0, 5, 5, 0, 5, 5, 5, 5, 0, 0, 0, 0], [5, 0, 0, 5, 5, 0, 5, 5, 5, 5, 0, 0, 0, 0, 5, 5, 5, 5, 0, 0], [5, 5, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0, 5, 5, 0, 0, 5, 0, 0, 5], [5, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 5, 5, 5, 5, 0, 0, 0, 0], [0, 0, 5, 0, 5, 0, 0, 0, 0, 0, 5, 0, 5, 5, 0, 5, 5, 0, 5, 5], [5, 0, 0, 5, 5, 5, 5, 0, 5, 0, 0, 5, 5, 0, 5, 5, 5, 5, 0, 5], [0, 0, 0, 0, 5, 0, 5, 0, 0, 5, 0, 0, 5, 0, 5, 0, 0, 5, 5, 5], [5, 0, 0, 0, 5, 0, 0, 0, 5, 0, 5, 0, 5, 5, 0, 0, 5, 0, 5, 0], [5, 5, 5, 5, 5, 0, 0, 0, 5, 5, 0, 5, 5, 0, 0, 0, 0, 5, 5, 0], [0, 5, 5, 0, 5, 0, 0, 0, 0, 5, 0, 0, 5, 5, 0, 0, 0, 0, 5, 5], [5, 0, 5, 0, 5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 5, 5, 0, 5, 5, 0], [0, 0, 5, 5, 0, 0, 0, 5, 0, 5, 0, 5, 0, 5, 5, 0, 0, 0, 5, 5], [0, 5, 0, 0, 5, 5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 5, 0, 5], [5, 0, 5, 5, 5, 0, 0, 5, 0, 0, 0, 5, 5, 0, 0, 5, 5, 5, 0, 5], [5, 5, 0, 5, 5, 0, 5, 5, 5, 5, 5, 0, 0, 5, 0, 0, 0, 0, 5, 0], [0, 5, 0, 0, 5, 0, 5, 0, 0, 0, 5, 0, 5, 5, 5, 0, 0, 0, 5, 5], [5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 5, 0, 5, 0], [5, 5, 5, 5, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 5, 5, 0], [9, 9, 0, 0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 9, 9, 0, 9, 0, 0, 9], [0, 0, 9, 9, 9, 9, 9, 9, 0, 0, 0, 9, 0, 9, 0, 0, 9, 9, 0, 0], [9, 9, 0, 0, 9, 0, 0, 9, 0, 0, 0, 0, 0, 0, 9, 0, 0, 9, 9, 9], [9, 0, 0, 0, 9, 0, 9, 9, 0, 9, 0, 9, 9, 0, 9, 9, 9, 0, 9, 0], [9, 0, 9, 9, 0, 9, 0, 9, 9, 9, 9, 9, 0, 9, 9, 9, 0, 0, 9, 0], [0, 9, 0, 0, 0, 0, 0, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0, 9, 0, 0], [0, 9, 0, 9, 0, 9, 9, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 0, 0], [0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 9, 9, 0, 0, 0, 9, 9], [9, 0, 0, 9, 0, 0, 9, 9, 9, 0, 0, 9, 9, 0, 0, 0, 0, 9, 0, 9], [0, 0, 0, 9, 9, 0, 9, 9, 0, 9, 0, 9, 9, 0, 0, 0, 0, 0, 9, 0], [0, 0, 0, 9, 9, 9, 9, 0, 9, 0, 0, 9, 9, 9, 9, 9, 0, 0, 0, 9], [9, 9, 0, 0, 9, 9, 0, 9, 9, 0, 9, 0, 9, 9, 9, 0, 0, 0, 0, 9], [0, 9, 0, 9, 9, 0, 0, 9, 0, 9, 0, 9, 0, 0, 0, 0, 0, 0, 9, 9], [9, 9, 9, 9, 0, 0, 0, 9, 9, 0, 9, 9, 9, 0, 9, 9, 9, 0, 9, 9], [9, 9, 0, 0, 9, 9, 9, 9, 9, 0, 0, 0, 9, 9, 0, 0, 0, 0, 9, 0], [0, 9, 0, 9, 0, 9, 9, 0, 0, 9, 9, 9, 0, 9, 9, 0, 0, 9, 0, 0], [0, 0, 9, 0, 0, 9, 0, 0, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 0, 9], [9, 0, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 0, 9, 0], [9, 9, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0, 0, 0, 0, 0, 9, 0, 9, 9], [9, 9, 9, 0, 0, 0, 9, 0, 0, 9, 0, 9, 0, 0, 9, 9, 0, 9, 0, 9], [6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 0, 6, 0, 0, 6, 6, 0, 0, 0], [6, 6, 6, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 6, 0, 6, 6], [6, 6, 0, 6, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 6, 0, 0, 0, 6], [6, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 0], [6, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 6, 0], [6, 6, 6, 0, 0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6, 6], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 6, 6, 6, 0, 0], [6, 6, 0, 0, 0, 6, 6, 0, 0, 6, 0, 6, 0, 0, 0, 0, 6, 0, 6, 6], [0, 0, 0, 0, 6, 6, 6, 6, 6, 0, 6, 0, 6, 6, 6, 0, 0, 6, 6, 0], [0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 6, 0, 6, 0, 6, 0, 6, 0], [6, 0, 0, 6, 6, 0, 0, 0, 0, 6, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0], [6, 0, 0, 0, 0, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6, 6, 0], [0, 0, 0, 6, 6, 6, 6, 6, 0, 6, 0, 0, 0, 6, 6, 0, 6, 0, 0, 0], [0, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 0, 6, 0, 6, 0, 0], [0, 0, 6, 0, 0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 6, 0, 6, 0, 6, 0, 6], [0, 0, 6, 0, 0, 6, 6, 0, 6, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 6], [6, 6, 6, 6, 6, 0, 6, 0, 0, 6, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6], [6, 6, 0, 6, 0, 0, 0, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6, 0, 0, 0], [0, 6, 6, 0, 0, 0, 6, 0, 0, 6, 6, 6, 6, 0, 6, 0, 6, 6, 6, 0]] -> [[7, 7, 0, 0, 7, 7, 7, 0, 7, 7, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0], [7, 7, 7, 0, 7, 7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0], [7, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 7], [7, 0, 0, 7, 0, 0, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7, 7, 0, 7, 0], [7, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 7, 7, 7, 7, 0, 0, 7, 0], [7, 7, 0, 0, 0, 0, 0, 7, 0, 0, 7, 7, 0, 0, 7, 0, 0, 0, 0, 0], [0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 7, 7, 0, 0, 0], [7, 7, 0, 0, 0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7], [0, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 7, 7, 0], [0, 0, 0, 7, 7, 0, 7, 7, 7, 0, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0], [7, 0, 0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0], [7, 0, 0, 0, 0, 7, 0, 0, 7, 7, 7, 0, 7, 7, 0, 0, 0, 0, 7, 0], [0, 0, 0, 7, 7, 0, 7, 7, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0], [0, 0, 7, 7, 0, 0, 0, 0, 0, 7, 7, 7, 7, 0, 0, 7, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 7, 7, 7, 0, 7, 7, 0, 0, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7], [0, 0, 7, 0, 0, 7, 7, 0, 7, 0, 7, 0, 7, 7, 0, 7, 7, 0, 0, 7], [7, 7, 0, 0, 7, 0, 7, 0, 0, 7, 0, 7, 7, 0, 7, 7, 0, 0, 7, 7], [7, 7, 0, 7, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0], [0, 7, 7, 0, 0, 0, 7, 0, 0, 7, 0, 7, 0, 0, 7, 0, 7, 7, 7, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 0, 0, 0, 5, 0, 5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 5, 5, 0, 0], [5, 5, 0, 0, 5, 5, 0, 5, 5, 5, 0, 5, 5, 0, 0, 0, 0, 0, 5, 0], [0, 5, 5, 5, 5, 0, 5, 5, 0, 5, 5, 0, 5, 5, 5, 5, 0, 0, 0, 0], [5, 0, 0, 5, 5, 0, 5, 5, 5, 5, 0, 0, 0, 0, 5, 5, 5, 5, 0, 0], [5, 5, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0, 5, 5, 0, 0, 5, 0, 0, 5], [5, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 5, 5, 5, 5, 0, 0, 0, 0], [0, 0, 5, 0, 5, 0, 0, 0, 0, 0, 5, 0, 5, 5, 0, 5, 5, 0, 5, 5], [5, 0, 0, 5, 5, 5, 5, 0, 5, 0, 0, 5, 5, 0, 5, 5, 5, 5, 0, 5], [0, 0, 0, 0, 5, 0, 5, 0, 0, 5, 0, 0, 5, 0, 5, 0, 0, 5, 5, 5], [5, 0, 0, 0, 5, 0, 0, 0, 5, 0, 5, 0, 5, 5, 0, 0, 5, 0, 5, 0], [5, 5, 5, 5, 5, 0, 0, 0, 5, 5, 0, 5, 5, 0, 0, 0, 0, 5, 5, 0], [0, 5, 5, 0, 5, 0, 0, 0, 0, 5, 0, 0, 5, 5, 0, 0, 0, 0, 5, 5], [5, 0, 5, 0, 5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 5, 5, 0, 5, 5, 0], [0, 0, 5, 5, 0, 0, 0, 5, 0, 5, 0, 5, 0, 5, 5, 0, 0, 0, 5, 5], [0, 5, 0, 0, 5, 5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 5, 0, 5], [5, 0, 5, 5, 5, 0, 0, 5, 0, 0, 0, 5, 5, 0, 0, 5, 5, 5, 0, 5], [5, 5, 0, 5, 5, 0, 5, 5, 5, 5, 5, 0, 0, 5, 0, 0, 0, 0, 5, 0], [0, 5, 0, 0, 5, 0, 5, 0, 0, 0, 5, 0, 5, 5, 5, 0, 0, 0, 5, 5], [5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 5, 0, 5, 0], [5, 5, 5, 5, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 5, 5, 0], [4, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 4, 0, 4, 0, 0, 4], [0, 0, 4, 4, 4, 4, 4, 4, 0, 0, 0, 4, 0, 4, 0, 0, 4, 4, 0, 0], [4, 4, 0, 0, 4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 4, 4, 4], [4, 0, 0, 0, 4, 0, 4, 4, 0, 4, 0, 4, 4, 0, 4, 4, 4, 0, 4, 0], [4, 0, 4, 4, 0, 4, 0, 4, 4, 4, 4, 4, 0, 4, 4, 4, 0, 0, 4, 0], [0, 4, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 0, 4, 0, 0, 0, 4, 0, 0], [0, 4, 0, 4, 0, 4, 4, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 0], [0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 0, 0, 0, 4, 4], [4, 0, 0, 4, 0, 0, 4, 4, 4, 0, 0, 4, 4, 0, 0, 0, 0, 4, 0, 4], [0, 0, 0, 4, 4, 0, 4, 4, 0, 4, 0, 4, 4, 0, 0, 0, 0, 0, 4, 0], [0, 0, 0, 4, 4, 4, 4, 0, 4, 0, 0, 4, 4, 4, 4, 4, 0, 0, 0, 4], [4, 4, 0, 0, 4, 4, 0, 4, 4, 0, 4, 0, 4, 4, 4, 0, 0, 0, 0, 4], [0, 4, 0, 4, 4, 0, 0, 4, 0, 4, 0, 4, 0, 0, 0, 0, 0, 0, 4, 4], [4, 4, 4, 4, 0, 0, 0, 4, 4, 0, 4, 4, 4, 0, 4, 4, 4, 0, 4, 4], [4, 4, 0, 0, 4, 4, 4, 4, 4, 0, 0, 0, 4, 4, 0, 0, 0, 0, 4, 0], [0, 4, 0, 4, 0, 4, 4, 0, 0, 4, 4, 4, 0, 4, 4, 0, 0, 4, 0, 0], [0, 0, 4, 0, 0, 4, 0, 0, 0, 4, 4, 0, 4, 4, 0, 4, 4, 0, 0, 4], [4, 0, 0, 0, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 4, 4, 0, 0, 4, 0], [4, 4, 4, 4, 4, 4, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 4, 4], [4, 4, 4, 0, 0, 0, 4, 0, 0, 4, 0, 4, 0, 0, 4, 4, 0, 4, 0, 4], [6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 0, 6, 0, 0, 6, 6, 0, 0, 0], [6, 6, 6, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 6, 0, 6, 6], [6, 6, 0, 6, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 6, 0, 0, 0, 6], [6, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 0], [6, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 6, 0], [6, 6, 6, 0, 0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6, 6], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 6, 6, 6, 0, 0], [6, 6, 0, 0, 0, 6, 6, 0, 0, 6, 0, 6, 0, 0, 0, 0, 6, 0, 6, 6], [0, 0, 0, 0, 6, 6, 6, 6, 6, 0, 6, 0, 6, 6, 6, 0, 0, 6, 6, 0], [0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 6, 0, 6, 0, 6, 0, 6, 0], [6, 0, 0, 6, 6, 0, 0, 0, 0, 6, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0], [6, 0, 0, 0, 0, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6, 6, 0], [0, 0, 0, 6, 6, 6, 6, 6, 0, 6, 0, 0, 0, 6, 6, 0, 6, 0, 0, 0], [0, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 0, 6, 0, 6, 0, 0], [0, 0, 6, 0, 0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 6, 0, 6, 0, 6, 0, 6], [0, 0, 6, 0, 0, 6, 6, 0, 6, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 6], [6, 6, 6, 6, 6, 0, 6, 0, 0, 6, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6], [6, 6, 0, 6, 0, 0, 0, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6, 0, 0, 0], [0, 6, 6, 0, 0, 0, 6, 0, 0, 6, 6, 6, 6, 0, 6, 0, 6, 6, 6, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
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+            },
+            "Replicate 2": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[5, 0, 5, 0, 5, 0, 0, 5, 0, 5, 5, 0, 0, 0, 0, 0, 0, 5, 5, 0], [5, 0, 0, 0, 0, 5, 0, 0, 0, 5, 5, 5, 5, 5, 0, 0, 5, 0, 5, 5], [5, 5, 5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 0, 5, 0, 0, 0], [0, 5, 0, 0, 5, 0, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 0, 0, 5, 5], [5, 5, 5, 5, 0, 0, 5, 5, 0, 0, 5, 0, 5, 5, 0, 5, 5, 0, 0, 5], [5, 0, 5, 5, 5, 0, 5, 5, 5, 5, 0, 5, 5, 0, 0, 0, 5, 5, 0, 5], [5, 0, 0, 5, 0, 0, 0, 0, 5, 0, 5, 5, 0, 0, 5, 5, 0, 5, 0, 5], [5, 5, 0, 0, 0, 5, 0, 5, 0, 5, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0], [0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 5, 5, 5, 5, 5, 5, 0, 5, 5, 5], [0, 0, 0, 0, 0, 5, 0, 0, 5, 0, 5, 0, 5, 0, 5, 0, 0, 0, 5, 0], [5, 5, 0, 0, 0, 0, 0, 5, 0, 0, 5, 0, 0, 0, 5, 5, 5, 0, 0, 5], [5, 0, 5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 5, 5, 0, 5, 0, 5, 5], [5, 0, 5, 5, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 5, 0, 5, 0, 5, 5], [5, 5, 5, 0, 5, 5, 0, 5, 5, 5, 0, 5, 0, 0, 5, 0, 0, 0, 5, 0], [5, 5, 0, 0, 5, 0, 5, 5, 5, 5, 5, 0, 0, 0, 5, 0, 0, 5, 0, 5], [5, 0, 0, 5, 5, 0, 0, 5, 0, 5, 0, 0, 5, 0, 0, 5, 5, 0, 0, 5], [5, 0, 5, 0, 0, 0, 0, 0, 0, 5, 5, 0, 5, 0, 0, 5, 0, 0, 0, 5], [5, 5, 0, 0, 5, 5, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 5, 5, 0], [5, 5, 0, 5, 0, 5, 0, 5, 0, 5, 5, 0, 5, 5, 5, 5, 5, 5, 0, 5], [5, 0, 0, 0, 0, 5, 5, 0, 0, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0, 5], [9, 0, 0, 9, 0, 0, 9, 0, 0, 0, 0, 9, 9, 0, 0, 0, 9, 9, 0, 9], [0, 0, 0, 9, 9, 0, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 9], [0, 0, 0, 0, 9, 0, 9, 9, 0, 9, 9, 0, 0, 0, 9, 0, 0, 9, 9, 9], [9, 0, 0, 9, 0, 0, 9, 0, 0, 0, 0, 9, 9, 0, 0, 9, 9, 9, 9, 9], [0, 9, 0, 9, 9, 0, 9, 0, 9, 9, 9, 0, 0, 0, 9, 9, 9, 0, 9, 9], [9, 9, 0, 9, 0, 0, 0, 0, 0, 9, 9, 0, 0, 9, 0, 0, 9, 9, 9, 9], [0, 0, 0, 0, 9, 9, 9, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 9, 9, 0], [0, 9, 9, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 9, 9, 0, 0, 0, 9, 0], [0, 9, 0, 9, 0, 0, 9, 0, 0, 0, 0, 0, 9, 9, 9, 0, 0, 0, 9, 0], [9, 9, 9, 9, 0, 9, 0, 9, 0, 0, 9, 0, 9, 0, 0, 9, 9, 0, 0, 0], [9, 0, 9, 0, 0, 0, 0, 9, 0, 0, 9, 9, 0, 9, 9, 9, 9, 9, 9, 0], [0, 0, 0, 0, 9, 9, 0, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 0, 9], [0, 9, 9, 0, 0, 0, 9, 9, 0, 9, 9, 9, 0, 0, 0, 0, 9, 9, 9, 0], [9, 9, 9, 0, 0, 9, 9, 9, 0, 0, 0, 9, 9, 9, 9, 0, 0, 9, 9, 9], [9, 9, 9, 0, 0, 0, 0, 9, 9, 9, 9, 0, 0, 9, 0, 9, 9, 9, 9, 0], [0, 9, 0, 0, 0, 9, 9, 0, 9, 0, 0, 0, 0, 0, 0, 9, 9, 0, 0, 9], [9, 0, 9, 9, 0, 0, 9, 0, 9, 9, 0, 0, 9, 0, 0, 0, 9, 9, 0, 0], [0, 9, 0, 0, 9, 9, 9, 9, 0, 0, 9, 9, 9, 0, 0, 9, 0, 0, 9, 9], [0, 0, 0, 9, 0, 9, 9, 9, 0, 0, 9, 9, 0, 9, 9, 0, 9, 9, 9, 9], [9, 0, 9, 9, 9, 9, 0, 9, 0, 0, 0, 9, 9, 9, 0, 0, 9, 0, 0, 9], [0, 6, 6, 6, 6, 6, 6, 0, 6, 0, 6, 6, 6, 0, 0, 6, 6, 0, 0, 0], [6, 6, 0, 6, 0, 6, 0, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 0], [0, 6, 0, 6, 6, 6, 6, 0, 0, 0, 0, 6, 0, 0, 6, 6, 6, 6, 0, 6], [0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 0, 6, 0, 6, 6, 0, 6, 0, 6, 6], [0, 6, 6, 6, 0, 6, 6, 6, 0, 0, 6, 0, 6, 6, 0, 6, 6, 0, 0, 0], [0, 0, 0, 6, 6, 0, 6, 0, 0, 6, 6, 6, 0, 0, 0, 6, 6, 0, 6, 0], [6, 6, 6, 6, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6, 6, 6, 6, 0, 6, 6], [0, 6, 6, 6, 0, 6, 6, 6, 0, 0, 0, 6, 6, 6, 0, 6, 6, 0, 6, 0], [0, 0, 0, 6, 0, 0, 0, 0, 6, 6, 0, 6, 0, 6, 6, 0, 6, 0, 6, 0], [0, 0, 0, 6, 6, 0, 6, 0, 0, 6, 0, 0, 6, 6, 0, 0, 6, 6, 6, 0], [6, 0, 0, 6, 6, 6, 6, 0, 0, 6, 6, 6, 0, 6, 6, 0, 6, 0, 0, 0], [6, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6, 0, 0, 0, 6, 0, 6, 0, 0, 0], [0, 6, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 6, 6, 0, 6, 0, 6, 6, 0], [6, 0, 6, 0, 6, 0, 0, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 6], [6, 0, 0, 0, 0, 0, 0, 6, 0, 0, 6, 6, 6, 6, 6, 0, 6, 6, 6, 6], [6, 0, 0, 0, 0, 6, 6, 0, 0, 6, 0, 0, 6, 0, 6, 6, 6, 0, 6, 0], [6, 6, 0, 0, 6, 0, 0, 6, 0, 6, 0, 0, 0, 6, 0, 0, 0, 6, 0, 6], [0, 6, 6, 6, 0, 6, 0, 6, 6, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 6], [0, 0, 0, 6, 0, 6, 0, 0, 6, 6, 0, 0, 6, 0, 6, 6, 0, 0, 0, 0], [6, 0, 0, 6, 6, 0, 6, 6, 0, 6, 0, 0, 0, 0, 6, 0, 6, 6, 6, 0]] -> [[0, 0, 7, 7, 7, 0, 7, 0, 0, 0, 7, 7, 7, 0, 0, 0, 7, 0, 0, 0], [7, 0, 0, 7, 0, 7, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 0], [0, 7, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 7, 0, 7], [0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 7, 0, 7, 0, 7, 7], [0, 7, 7, 7, 0, 0, 7, 7, 0, 0, 7, 0, 7, 7, 0, 7, 7, 0, 0, 0], [0, 0, 0, 7, 7, 0, 7, 0, 0, 7, 7, 7, 0, 0, 0, 0, 7, 0, 7, 0], [7, 0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 7, 7, 0, 0, 7, 7], [0, 7, 7, 0, 0, 7, 0, 7, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 7, 0], [0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0], [0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0], [7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 7, 0, 7, 0, 0, 0], [7, 0, 0, 0, 0, 7, 7, 0, 7, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0], [0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0], [7, 0, 7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 0, 7, 7, 0, 0, 7, 7, 7], [7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 7, 7, 0, 7, 7, 7, 7], [7, 0, 0, 0, 0, 7, 7, 0, 0, 7, 0, 0, 7, 0, 0, 7, 7, 0, 0, 0], [7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7], [0, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7], [0, 0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7, 0, 7, 7, 0, 0, 0, 0], [7, 0, 0, 7, 7, 0, 7, 7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0]]\nExample input-output arrays:\n[[0, 5, 0, 0, 5, 0, 5, 0, 5, 5, 0, 0, 5, 0, 5, 0, 5, 5, 5, 5], [5, 5, 0, 0, 0, 5, 0, 5, 5, 5, 0, 5, 5, 0, 5, 5, 5, 5, 5, 0], [0, 0, 0, 5, 0, 5, 5, 5, 0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 5, 0], [5, 5, 5, 5, 5, 0, 5, 5, 5, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 5], [0, 5, 0, 0, 5, 5, 0, 5, 5, 5, 0, 0, 5, 0, 5, 0, 5, 0, 5, 5], [0, 0, 5, 5, 0, 0, 0, 0, 5, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 5], [5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 0, 5, 5, 5, 5, 0, 5, 0, 5, 5], [0, 0, 5, 5, 5, 0, 5, 5, 5, 0, 0, 0, 0, 0, 5, 5, 0, 5, 0, 0], [0, 5, 5, 5, 5, 5, 0, 5, 0, 0, 0, 0, 5, 5, 0, 5, 5, 0, 5, 5], [0, 0, 5, 5, 0, 5, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 5, 5, 5, 0], [0, 0, 5, 5, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 5, 0, 0, 5, 0, 5], [5, 5, 5, 5, 0, 5, 5, 0, 0, 5, 0, 5, 5, 5, 5, 0, 0, 5, 0, 5], [5, 5, 0, 5, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 0, 0, 5, 5, 0], [5, 5, 5, 5, 5, 0, 5, 0, 5, 5, 5, 0, 0, 0, 0, 5, 5, 5, 5, 0], [5, 0, 0, 0, 5, 5, 5, 5, 0, 5, 0, 5, 0, 5, 5, 0, 0, 0, 0, 5], [0, 0, 5, 0, 0, 5, 0, 0, 0, 5, 5, 5, 0, 0, 5, 0, 5, 0, 0, 0], [0, 0, 5, 5, 0, 5, 5, 5, 5, 0, 0, 5, 5, 5, 5, 5, 0, 5, 0, 5], [5, 0, 0, 5, 5, 0, 5, 5, 0, 5, 0, 5, 0, 0, 0, 0, 5, 0, 5, 5], [0, 5, 5, 0, 5, 0, 0, 0, 0, 0, 5, 0, 5, 0, 5, 0, 0, 0, 5, 0], [5, 5, 0, 0, 5, 0, 0, 5, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0], [9, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 0, 0, 0, 9], [0, 0, 9, 9, 0, 0, 9, 0, 0, 0, 9, 9, 9, 9, 9, 0, 9, 9, 0, 0], [9, 9, 0, 9, 9, 9, 9, 0, 9, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 9], [0, 0, 0, 9, 9, 0, 0, 9, 9, 0, 9, 9, 9, 0, 9, 9, 9, 0, 9, 9], [0, 9, 9, 9, 9, 9, 9, 0, 0, 9, 0, 9, 0, 0, 9, 0, 9, 9, 9, 0], [9, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 9, 9, 0, 9], [9, 0, 0, 0, 0, 0, 9, 0, 0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9], [0, 0, 9, 0, 0, 9, 0, 9, 9, 9, 0, 9, 9, 9, 0, 9, 0, 9, 9, 9], [0, 0, 0, 9, 9, 9, 0, 9, 9, 9, 9, 0, 0, 9, 9, 9, 9, 0, 0, 0], [9, 0, 0, 0, 9, 9, 0, 0, 9, 9, 9, 0, 0, 0, 0, 9, 0, 0, 0, 9], [9, 0, 0, 9, 9, 9, 0, 9, 9, 9, 9, 9, 0, 0, 9, 0, 9, 0, 0, 0], [9, 9, 0, 9, 9, 0, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0, 0, 0, 9, 0], [9, 9, 9, 9, 9, 0, 9, 9, 9, 0, 0, 0, 0, 0, 9, 9, 9, 9, 9, 9], [9, 9, 9, 0, 0, 0, 9, 9, 9, 0, 0, 9, 9, 0, 9, 0, 0, 9, 0, 9], [0, 9, 9, 0, 9, 9, 9, 0, 0, 9, 9, 0, 9, 9, 9, 9, 0, 9, 9, 9], [9, 0, 9, 0, 9, 9, 9, 0, 9, 0, 9, 9, 0, 0, 9, 9, 0, 9, 9, 0], [0, 9, 0, 9, 0, 0, 9, 9, 9, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 0], [0, 9, 9, 9, 9, 9, 9, 0, 0, 9, 9, 9, 0, 9, 9, 0, 9, 9, 0, 0], [0, 9, 0, 9, 9, 9, 0, 0, 9, 9, 0, 9, 9, 0, 9, 0, 0, 9, 0, 9], [9, 9, 9, 0, 9, 0, 0, 9, 9, 0, 0, 9, 0, 0, 0, 0, 0, 9, 9, 0], [6, 0, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 0, 6, 6], [0, 0, 6, 0, 0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 0], [0, 0, 6, 0, 0, 6, 0, 6, 0, 0, 0, 6, 6, 0, 6, 0, 6, 6, 6, 0], [6, 0, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0], [6, 6, 0, 6, 6, 0, 6, 0, 6, 6, 0, 0, 0, 0, 6, 0, 6, 6, 0, 0], [0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 6, 6, 0, 0, 0, 6, 0, 0, 0, 0], [0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6], [6, 6, 0, 6, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 6, 0, 6, 0], [6, 6, 6, 0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 6], [6, 0, 0, 6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 6, 0, 0, 6, 6], [0, 0, 6, 6, 6, 6, 6, 0, 0, 0, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6], [0, 0, 6, 6, 6, 6, 0, 6, 0, 0, 6, 6, 6, 6, 6, 0, 0, 6, 6, 6], [6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 0, 6, 0, 6, 6], [0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 6, 0], [0, 6, 0, 6, 6, 0, 0, 0, 6, 6, 6, 0, 6, 6, 6, 6, 0, 6, 0, 0], [6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 6, 0, 6, 0, 0, 6, 0, 0, 0, 6], [0, 0, 0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 6, 0, 0], [0, 0, 6, 0, 0, 0, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 0, 6, 6, 0], [0, 0, 6, 0, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 0, 6, 0, 6], [6, 0, 0, 0, 6, 0, 0, 6, 6, 0, 6, 6, 6, 6, 0, 6, 6, 0, 6, 6]] -> [[7, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 0, 7, 7, 7, 0, 7, 0, 7, 7], [0, 0, 7, 0, 0, 7, 7, 0, 0, 7, 7, 0, 7, 0, 7, 7, 0, 0, 7, 0], [0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 7, 7, 0, 7, 0, 7, 7, 7, 0], [7, 0, 7, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0], [0, 7, 0, 7, 7, 0, 7, 0, 7, 7, 0, 0, 0, 0, 7, 0, 7, 7, 0, 0], [0, 0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0], [0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 7, 0, 7, 7, 7, 7, 7, 7], [0, 0, 0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 0, 0, 7, 0, 0, 0, 7, 0], [0, 7, 7, 0, 0, 7, 0, 7, 7, 0, 7, 0, 7, 7, 7, 7, 0, 0, 7, 7], [7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 7, 7], [0, 0, 7, 7, 7, 7, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0, 7], [0, 0, 7, 7, 7, 7, 0, 7, 0, 0, 7, 7, 7, 7, 7, 0, 0, 7, 7, 7], [7, 7, 7, 7, 0, 0, 7, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7], [0, 7, 7, 7, 7, 0, 7, 0, 7, 7, 0, 7, 7, 0, 0, 7, 7, 0, 7, 0], [0, 7, 0, 0, 7, 0, 0, 0, 0, 7, 7, 0, 7, 7, 7, 7, 0, 7, 0, 0], [7, 0, 7, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 0], [0, 0, 7, 0, 0, 0, 7, 0, 0, 7, 7, 7, 0, 0, 7, 0, 0, 7, 7, 0], [0, 0, 7, 0, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 0, 7, 0, 7], [7, 0, 0, 0, 7, 0, 0, 7, 7, 0, 7, 7, 7, 7, 0, 7, 7, 0, 7, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 5, 5, 0, 5, 0, 5, 0, 0, 5, 0, 0, 0, 5, 5], [5, 5, 5, 0, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 5, 0, 0, 5, 5, 0], [0, 0, 5, 0, 0, 0, 0, 5, 0, 5, 5, 5, 0, 0, 0, 5, 0, 5, 0, 0], [5, 0, 0, 5, 5, 5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5], [5, 0, 0, 5, 5, 0, 0, 0, 0, 0, 5, 0, 5, 5, 0, 5, 5, 0, 0, 0], [5, 0, 5, 0, 5, 0, 5, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 0, 5, 5], [5, 0, 5, 5, 0, 5, 0, 0, 5, 5, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0], [0, 0, 5, 5, 5, 0, 0, 0, 5, 0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 0], [5, 5, 0, 5, 0, 0, 0, 5, 0, 5, 0, 5, 5, 0, 0, 5, 5, 5, 5, 5], [0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 5, 0, 5], [5, 5, 0, 0, 5, 5, 0, 5, 0, 5, 5, 5, 5, 0, 0, 0, 0, 5, 0, 5], [0, 0, 0, 5, 5, 0, 5, 0, 5, 0, 5, 5, 5, 5, 0, 5, 0, 0, 0, 5], [0, 0, 0, 0, 5, 5, 0, 0, 5, 5, 5, 0, 0, 0, 5, 0, 0, 0, 0, 5], [5, 5, 0, 5, 5, 0, 5, 0, 0, 5, 0, 0, 5, 0, 5, 0, 0, 0, 5, 5], [5, 5, 0, 0, 0, 5, 5, 0, 0, 5, 5, 5, 5, 0, 5, 5, 5, 0, 0, 0], [0, 0, 5, 0, 5, 0, 0, 0, 5, 0, 0, 5, 5, 5, 0, 5, 5, 5, 0, 0], [5, 0, 0, 5, 5, 0, 5, 0, 5, 0, 5, 5, 5, 0, 5, 0, 5, 5, 0, 5], [5, 0, 5, 5, 0, 0, 5, 0, 5, 0, 5, 5, 0, 0, 0, 0, 5, 5, 5, 0], [5, 0, 5, 0, 5, 5, 0, 5, 0, 0, 0, 5, 0, 5, 0, 5, 5, 0, 0, 5], [5, 5, 0, 5, 0, 5, 5, 0, 0, 0, 5, 0, 0, 5, 5, 5, 0, 5, 0, 0], [0, 0, 0, 9, 0, 0, 0, 0, 0, 9, 9, 9, 9, 9, 0, 9, 0, 9, 0, 0], [9, 9, 9, 0, 9, 0, 0, 0, 0, 0, 9, 9, 0, 9, 0, 9, 0, 0, 9, 0], [9, 0, 0, 0, 0, 0, 9, 9, 9, 9, 9, 0, 0, 9, 0, 9, 0, 9, 9, 0], [0, 9, 0, 9, 9, 0, 9, 9, 0, 0, 9, 9, 0, 0, 0, 0, 9, 9, 0, 9], [9, 0, 0, 9, 0, 9, 9, 0, 0, 0, 0, 9, 9, 0, 9, 0, 9, 0, 9, 9], [9, 0, 9, 9, 9, 0, 0, 0, 9, 9, 9, 0, 9, 9, 0, 9, 9, 9, 0, 9], [0, 9, 0, 0, 0, 9, 9, 0, 9, 0, 0, 0, 0, 9, 0, 0, 0, 0, 9, 9], [0, 0, 0, 0, 0, 9, 9, 0, 0, 9, 0, 0, 9, 9, 0, 9, 9, 0, 9, 9], [9, 0, 9, 0, 0, 9, 9, 0, 9, 0, 9, 0, 9, 0, 0, 0, 9, 0, 0, 9], [9, 9, 9, 0, 0, 0, 9, 9, 0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 0, 0], [0, 0, 0, 9, 0, 9, 0, 9, 9, 0, 9, 0, 9, 9, 0, 0, 9, 9, 9, 9], [0, 0, 0, 0, 9, 0, 9, 9, 0, 9, 9, 9, 9, 9, 0, 9, 9, 9, 0, 0], [0, 0, 0, 0, 0, 0, 9, 9, 0, 9, 0, 0, 0, 0, 0, 9, 0, 9, 0, 9], [9, 9, 9, 0, 9, 9, 0, 0, 9, 9, 0, 9, 0, 0, 9, 9, 9, 0, 9, 9], [9, 0, 0, 9, 0, 9, 9, 9, 0, 0, 0, 9, 9, 0, 0, 0, 9, 0, 9, 9], [0, 9, 9, 0, 0, 0, 9, 0, 0, 9, 9, 9, 0, 0, 0, 0, 9, 0, 9, 0], [9, 9, 0, 0, 9, 0, 0, 0, 0, 0, 9, 0, 9, 0, 0, 0, 0, 9, 9, 0], [9, 0, 9, 9, 0, 9, 0, 9, 9, 0, 0, 9, 9, 0, 9, 9, 0, 0, 0, 9], [9, 9, 0, 9, 9, 9, 0, 0, 9, 0, 0, 0, 9, 9, 9, 0, 9, 0, 0, 9], [0, 9, 9, 0, 9, 0, 9, 9, 0, 9, 0, 9, 9, 0, 0, 0, 0, 9, 9, 9], [0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 6, 6, 0, 0, 6, 6, 6, 6, 6, 0], [0, 6, 0, 6, 6, 6, 0, 0, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 6, 6], [6, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 0, 0, 0, 0, 0, 6, 0, 6, 6], [0, 6, 6, 0, 6, 6, 0, 6, 6, 0, 0, 0, 6, 6, 6, 6, 0, 0, 6, 6], [0, 6, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 0, 0, 6, 6, 0, 6, 0], [0, 6, 0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 6, 6, 0, 0, 6, 0, 0], [6, 6, 6, 0, 6, 0, 6, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0], [0, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 0, 0], [0, 0, 0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 6, 6, 6, 6, 0], [0, 6, 0, 6, 0, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 0, 0, 0, 6, 6], [6, 6, 0, 0, 6, 6, 0, 6, 0, 6, 0, 0, 6, 6, 6, 0, 0, 0, 6, 6], [6, 0, 6, 0, 0, 6, 6, 6, 6, 6, 0, 6, 0, 0, 6, 0, 6, 6, 0, 6], [6, 6, 0, 0, 6, 0, 6, 6, 0, 6, 0, 6, 6, 0, 6, 6, 6, 6, 6, 0], [0, 0, 0, 6, 0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 6, 0, 6, 0, 0, 6], [6, 6, 0, 6, 6, 0, 0, 0, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 0, 0], [6, 0, 6, 0, 6, 6, 0, 0, 0, 6, 0, 6, 6, 6, 6, 0, 0, 6, 6, 6], [6, 0, 6, 0, 6, 0, 6, 0, 6, 0, 6, 6, 6, 0, 6, 6, 0, 6, 6, 0], [6, 0, 6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 6, 6, 0, 6, 0, 6, 6], [0, 0, 0, 6, 0, 6, 6, 6, 6, 0, 0, 0, 0, 6, 0, 0, 6, 6, 0, 6], [0, 0, 6, 0, 0, 6, 6, 6, 0, 6, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0]] -> [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 7, 7, 0, 7, 7, 0], [0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 7, 7, 0], [7, 0, 7, 0, 0, 0, 7, 7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0], [0, 7, 0, 0, 7, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7], [0, 0, 0, 7, 7, 7, 7, 0, 0, 0, 7, 7, 7, 0, 0, 7, 7, 0, 7, 0], [0, 0, 0, 7, 0, 0, 7, 0, 0, 7, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0], [7, 7, 7, 0, 0, 0, 7, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 0, 0, 0], [0, 0, 7, 0, 7, 7, 0, 0, 7, 7, 0, 0, 7, 7, 0, 7, 7, 0, 0, 0], [0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 7, 7, 0, 0, 0, 7, 7, 7, 7, 0], [0, 7, 0, 7, 0, 0, 7, 0, 0, 0, 7, 7, 0, 0, 7, 0, 0, 0, 0, 7], [7, 7, 0, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 7, 0, 0, 0, 0, 7, 7], [0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 0, 7, 0, 0, 0, 0, 7, 7, 0, 7], [0, 0, 0, 0, 7, 0, 7, 7, 0, 7, 0, 0, 0, 0, 7, 7, 0, 7, 0, 0], [0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0, 0, 7, 0, 7, 0, 7, 0, 0, 7], [7, 7, 0, 7, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 7, 7, 0, 0, 0], [0, 0, 7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 0, 7, 7, 0], [7, 0, 0, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7, 0, 7, 0, 0, 7, 7, 0], [7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 7, 0, 7, 0, 7, 7], [0, 0, 0, 7, 0, 7, 0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 7], [0, 0, 7, 0, 0, 7, 7, 7, 0, 7, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 0, 0, 0, 0, 0, 5, 5, 0, 5, 0, 5, 0, 0, 5, 0, 0, 0, 5, 5], [5, 5, 5, 0, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 5, 0, 0, 5, 5, 0], [0, 0, 5, 0, 0, 0, 0, 5, 0, 5, 5, 5, 0, 0, 0, 5, 0, 5, 0, 0], [5, 0, 0, 5, 5, 5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5], [5, 0, 0, 5, 5, 0, 0, 0, 0, 0, 5, 0, 5, 5, 0, 5, 5, 0, 0, 0], [5, 0, 5, 0, 5, 0, 5, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 0, 5, 5], [5, 0, 5, 5, 0, 5, 0, 0, 5, 5, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0], [0, 0, 5, 5, 5, 0, 0, 0, 5, 0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 0], [5, 5, 0, 5, 0, 0, 0, 5, 0, 5, 0, 5, 5, 0, 0, 5, 5, 5, 5, 5], [0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 5, 0, 5], [5, 5, 0, 0, 5, 5, 0, 5, 0, 5, 5, 5, 5, 0, 0, 0, 0, 5, 0, 5], [0, 0, 0, 5, 5, 0, 5, 0, 5, 0, 5, 5, 5, 5, 0, 5, 0, 0, 0, 5], [0, 0, 0, 0, 5, 5, 0, 0, 5, 5, 5, 0, 0, 0, 5, 0, 0, 0, 0, 5], [5, 5, 0, 5, 5, 0, 5, 0, 0, 5, 0, 0, 5, 0, 5, 0, 0, 0, 5, 5], [5, 5, 0, 0, 0, 5, 5, 0, 0, 5, 5, 5, 5, 0, 5, 5, 5, 0, 0, 0], [0, 0, 5, 0, 5, 0, 0, 0, 5, 0, 0, 5, 5, 5, 0, 5, 5, 5, 0, 0], [5, 0, 0, 5, 5, 0, 5, 0, 5, 0, 5, 5, 5, 0, 5, 0, 5, 5, 0, 5], [5, 0, 5, 5, 0, 0, 5, 0, 5, 0, 5, 5, 0, 0, 0, 0, 5, 5, 5, 0], [5, 0, 5, 0, 5, 5, 0, 5, 0, 0, 0, 5, 0, 5, 0, 5, 5, 0, 0, 5], [5, 5, 0, 5, 0, 5, 5, 0, 0, 0, 5, 0, 0, 5, 5, 5, 0, 5, 0, 0], [0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0], [1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0], [1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0], [0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1], [1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1], [1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1], [0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1], [0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1], [1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1], [1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1], [0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1], [1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1], [1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1], [0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0], [1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0], [1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1], [1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1], [0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1], [0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 6, 6, 0, 0, 6, 6, 6, 6, 6, 0], [0, 6, 0, 6, 6, 6, 0, 0, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 6, 6], [6, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 0, 0, 0, 0, 0, 6, 0, 6, 6], [0, 6, 6, 0, 6, 6, 0, 6, 6, 0, 0, 0, 6, 6, 6, 6, 0, 0, 6, 6], [0, 6, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 0, 0, 6, 6, 0, 6, 0], [0, 6, 0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 6, 6, 0, 0, 6, 0, 0], [6, 6, 6, 0, 6, 0, 6, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0], [0, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 0, 0], [0, 0, 0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 6, 6, 6, 6, 0], [0, 6, 0, 6, 0, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 0, 0, 0, 6, 6], [6, 6, 0, 0, 6, 6, 0, 6, 0, 6, 0, 0, 6, 6, 6, 0, 0, 0, 6, 6], [6, 0, 6, 0, 0, 6, 6, 6, 6, 6, 0, 6, 0, 0, 6, 0, 6, 6, 0, 6], [6, 6, 0, 0, 6, 0, 6, 6, 0, 6, 0, 6, 6, 0, 6, 6, 6, 6, 6, 0], [0, 0, 0, 6, 0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 6, 0, 6, 0, 0, 6], [6, 6, 0, 6, 6, 0, 0, 0, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 0, 0], [6, 0, 6, 0, 6, 6, 0, 0, 0, 6, 0, 6, 6, 6, 6, 0, 0, 6, 6, 6], [6, 0, 6, 0, 6, 0, 6, 0, 6, 0, 6, 6, 6, 0, 6, 6, 0, 6, 6, 0], [6, 0, 6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 6, 6, 0, 6, 0, 6, 6], [0, 0, 0, 6, 0, 6, 6, 6, 6, 0, 0, 0, 0, 6, 0, 0, 6, 6, 0, 6], [0, 0, 6, 0, 0, 6, 6, 6, 0, 6, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            5,
+                            5,
+                            0,
+                            5,
+                            0,
+                            5,
+                            0,
+                            0,
+                            5,
+                            0,
+                            0,
+                            0,
+                            5,
+                            5
+                        ],
+                        [
+                            5,
+                            5,
+                            5,
+                            0,
+                            0,
+                            0,
+                            0,
+                            5,
+                            0,
+                            0,
+                            0,
+                            5,
+                            0,
+                            0,
+                            5,
+                            0,
+                            0,
+                            5,
+                            5,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            5,
+                            0,
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+                    "output": [
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+            },
+            "Replicate 3": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[5, 0, 5, 0, 5, 0, 0, 5, 0, 5, 5, 0, 0, 0, 0, 0, 0, 5, 5, 0], [5, 0, 0, 0, 0, 5, 0, 0, 0, 5, 5, 5, 5, 5, 0, 0, 5, 0, 5, 5], [5, 5, 5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 0, 5, 0, 0, 0], [0, 5, 0, 0, 5, 0, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 0, 0, 5, 5], [5, 5, 5, 5, 0, 0, 5, 5, 0, 0, 5, 0, 5, 5, 0, 5, 5, 0, 0, 5], [5, 0, 5, 5, 5, 0, 5, 5, 5, 5, 0, 5, 5, 0, 0, 0, 5, 5, 0, 5], [5, 0, 0, 5, 0, 0, 0, 0, 5, 0, 5, 5, 0, 0, 5, 5, 0, 5, 0, 5], [5, 5, 0, 0, 0, 5, 0, 5, 0, 5, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0], [0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 5, 5, 5, 5, 5, 5, 0, 5, 5, 5], [0, 0, 0, 0, 0, 5, 0, 0, 5, 0, 5, 0, 5, 0, 5, 0, 0, 0, 5, 0], [5, 5, 0, 0, 0, 0, 0, 5, 0, 0, 5, 0, 0, 0, 5, 5, 5, 0, 0, 5], [5, 0, 5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 5, 5, 0, 5, 0, 5, 5], [5, 0, 5, 5, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 5, 0, 5, 0, 5, 5], [5, 5, 5, 0, 5, 5, 0, 5, 5, 5, 0, 5, 0, 0, 5, 0, 0, 0, 5, 0], [5, 5, 0, 0, 5, 0, 5, 5, 5, 5, 5, 0, 0, 0, 5, 0, 0, 5, 0, 5], [5, 0, 0, 5, 5, 0, 0, 5, 0, 5, 0, 0, 5, 0, 0, 5, 5, 0, 0, 5], [5, 0, 5, 0, 0, 0, 0, 0, 0, 5, 5, 0, 5, 0, 0, 5, 0, 0, 0, 5], [5, 5, 0, 0, 5, 5, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 5, 5, 0], [5, 5, 0, 5, 0, 5, 0, 5, 0, 5, 5, 0, 5, 5, 5, 5, 5, 5, 0, 5], [5, 0, 0, 0, 0, 5, 5, 0, 0, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0, 5], [9, 0, 0, 9, 0, 0, 9, 0, 0, 0, 0, 9, 9, 0, 0, 0, 9, 9, 0, 9], [0, 0, 0, 9, 9, 0, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 9], [0, 0, 0, 0, 9, 0, 9, 9, 0, 9, 9, 0, 0, 0, 9, 0, 0, 9, 9, 9], [9, 0, 0, 9, 0, 0, 9, 0, 0, 0, 0, 9, 9, 0, 0, 9, 9, 9, 9, 9], [0, 9, 0, 9, 9, 0, 9, 0, 9, 9, 9, 0, 0, 0, 9, 9, 9, 0, 9, 9], [9, 9, 0, 9, 0, 0, 0, 0, 0, 9, 9, 0, 0, 9, 0, 0, 9, 9, 9, 9], [0, 0, 0, 0, 9, 9, 9, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 9, 9, 0], [0, 9, 9, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 9, 9, 0, 0, 0, 9, 0], [0, 9, 0, 9, 0, 0, 9, 0, 0, 0, 0, 0, 9, 9, 9, 0, 0, 0, 9, 0], [9, 9, 9, 9, 0, 9, 0, 9, 0, 0, 9, 0, 9, 0, 0, 9, 9, 0, 0, 0], [9, 0, 9, 0, 0, 0, 0, 9, 0, 0, 9, 9, 0, 9, 9, 9, 9, 9, 9, 0], [0, 0, 0, 0, 9, 9, 0, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 0, 9], [0, 9, 9, 0, 0, 0, 9, 9, 0, 9, 9, 9, 0, 0, 0, 0, 9, 9, 9, 0], [9, 9, 9, 0, 0, 9, 9, 9, 0, 0, 0, 9, 9, 9, 9, 0, 0, 9, 9, 9], [9, 9, 9, 0, 0, 0, 0, 9, 9, 9, 9, 0, 0, 9, 0, 9, 9, 9, 9, 0], [0, 9, 0, 0, 0, 9, 9, 0, 9, 0, 0, 0, 0, 0, 0, 9, 9, 0, 0, 9], [9, 0, 9, 9, 0, 0, 9, 0, 9, 9, 0, 0, 9, 0, 0, 0, 9, 9, 0, 0], [0, 9, 0, 0, 9, 9, 9, 9, 0, 0, 9, 9, 9, 0, 0, 9, 0, 0, 9, 9], [0, 0, 0, 9, 0, 9, 9, 9, 0, 0, 9, 9, 0, 9, 9, 0, 9, 9, 9, 9], [9, 0, 9, 9, 9, 9, 0, 9, 0, 0, 0, 9, 9, 9, 0, 0, 9, 0, 0, 9], [0, 6, 6, 6, 6, 6, 6, 0, 6, 0, 6, 6, 6, 0, 0, 6, 6, 0, 0, 0], [6, 6, 0, 6, 0, 6, 0, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 0], [0, 6, 0, 6, 6, 6, 6, 0, 0, 0, 0, 6, 0, 0, 6, 6, 6, 6, 0, 6], [0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 0, 6, 0, 6, 6, 0, 6, 0, 6, 6], [0, 6, 6, 6, 0, 6, 6, 6, 0, 0, 6, 0, 6, 6, 0, 6, 6, 0, 0, 0], [0, 0, 0, 6, 6, 0, 6, 0, 0, 6, 6, 6, 0, 0, 0, 6, 6, 0, 6, 0], [6, 6, 6, 6, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6, 6, 6, 6, 0, 6, 6], [0, 6, 6, 6, 0, 6, 6, 6, 0, 0, 0, 6, 6, 6, 0, 6, 6, 0, 6, 0], [0, 0, 0, 6, 0, 0, 0, 0, 6, 6, 0, 6, 0, 6, 6, 0, 6, 0, 6, 0], [0, 0, 0, 6, 6, 0, 6, 0, 0, 6, 0, 0, 6, 6, 0, 0, 6, 6, 6, 0], [6, 0, 0, 6, 6, 6, 6, 0, 0, 6, 6, 6, 0, 6, 6, 0, 6, 0, 0, 0], [6, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6, 0, 0, 0, 6, 0, 6, 0, 0, 0], [0, 6, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 6, 6, 0, 6, 0, 6, 6, 0], [6, 0, 6, 0, 6, 0, 0, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 6], [6, 0, 0, 0, 0, 0, 0, 6, 0, 0, 6, 6, 6, 6, 6, 0, 6, 6, 6, 6], [6, 0, 0, 0, 0, 6, 6, 0, 0, 6, 0, 0, 6, 0, 6, 6, 6, 0, 6, 0], [6, 6, 0, 0, 6, 0, 0, 6, 0, 6, 0, 0, 0, 6, 0, 0, 0, 6, 0, 6], [0, 6, 6, 6, 0, 6, 0, 6, 6, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 6], [0, 0, 0, 6, 0, 6, 0, 0, 6, 6, 0, 0, 6, 0, 6, 6, 0, 0, 0, 0], [6, 0, 0, 6, 6, 0, 6, 6, 0, 6, 0, 0, 0, 0, 6, 0, 6, 6, 6, 0]] -> [[0, 0, 7, 7, 7, 0, 7, 0, 0, 0, 7, 7, 7, 0, 0, 0, 7, 0, 0, 0], [7, 0, 0, 7, 0, 7, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 0], [0, 7, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 7, 0, 7], [0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 7, 0, 7, 0, 7, 7], [0, 7, 7, 7, 0, 0, 7, 7, 0, 0, 7, 0, 7, 7, 0, 7, 7, 0, 0, 0], [0, 0, 0, 7, 7, 0, 7, 0, 0, 7, 7, 7, 0, 0, 0, 0, 7, 0, 7, 0], [7, 0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 7, 7, 0, 0, 7, 7], [0, 7, 7, 0, 0, 7, 0, 7, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 7, 0], [0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0], [0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0], [7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 7, 0, 7, 0, 0, 0], [7, 0, 0, 0, 0, 7, 7, 0, 7, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0], [0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0], [7, 0, 7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 0, 7, 7, 0, 0, 7, 7, 7], [7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 7, 7, 0, 7, 7, 7, 7], [7, 0, 0, 0, 0, 7, 7, 0, 0, 7, 0, 0, 7, 0, 0, 7, 7, 0, 0, 0], [7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7], [0, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7], [0, 0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7, 0, 7, 7, 0, 0, 0, 0], [7, 0, 0, 7, 7, 0, 7, 7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 5, 5, 0, 5, 0, 5, 0, 0, 5, 0, 0, 0, 5, 5], [5, 5, 5, 0, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 5, 0, 0, 5, 5, 0], [0, 0, 5, 0, 0, 0, 0, 5, 0, 5, 5, 5, 0, 0, 0, 5, 0, 5, 0, 0], [5, 0, 0, 5, 5, 5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5], [5, 0, 0, 5, 5, 0, 0, 0, 0, 0, 5, 0, 5, 5, 0, 5, 5, 0, 0, 0], [5, 0, 5, 0, 5, 0, 5, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 0, 5, 5], [5, 0, 5, 5, 0, 5, 0, 0, 5, 5, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0], [0, 0, 5, 5, 5, 0, 0, 0, 5, 0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 0], [5, 5, 0, 5, 0, 0, 0, 5, 0, 5, 0, 5, 5, 0, 0, 5, 5, 5, 5, 5], [0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 5, 0, 5], [5, 5, 0, 0, 5, 5, 0, 5, 0, 5, 5, 5, 5, 0, 0, 0, 0, 5, 0, 5], [0, 0, 0, 5, 5, 0, 5, 0, 5, 0, 5, 5, 5, 5, 0, 5, 0, 0, 0, 5], [0, 0, 0, 0, 5, 5, 0, 0, 5, 5, 5, 0, 0, 0, 5, 0, 0, 0, 0, 5], [5, 5, 0, 5, 5, 0, 5, 0, 0, 5, 0, 0, 5, 0, 5, 0, 0, 0, 5, 5], [5, 5, 0, 0, 0, 5, 5, 0, 0, 5, 5, 5, 5, 0, 5, 5, 5, 0, 0, 0], [0, 0, 5, 0, 5, 0, 0, 0, 5, 0, 0, 5, 5, 5, 0, 5, 5, 5, 0, 0], [5, 0, 0, 5, 5, 0, 5, 0, 5, 0, 5, 5, 5, 0, 5, 0, 5, 5, 0, 5], [5, 0, 5, 5, 0, 0, 5, 0, 5, 0, 5, 5, 0, 0, 0, 0, 5, 5, 5, 0], [5, 0, 5, 0, 5, 5, 0, 5, 0, 0, 0, 5, 0, 5, 0, 5, 5, 0, 0, 5], [5, 5, 0, 5, 0, 5, 5, 0, 0, 0, 5, 0, 0, 5, 5, 5, 0, 5, 0, 0], [0, 0, 0, 9, 0, 0, 0, 0, 0, 9, 9, 9, 9, 9, 0, 9, 0, 9, 0, 0], [9, 9, 9, 0, 9, 0, 0, 0, 0, 0, 9, 9, 0, 9, 0, 9, 0, 0, 9, 0], [9, 0, 0, 0, 0, 0, 9, 9, 9, 9, 9, 0, 0, 9, 0, 9, 0, 9, 9, 0], [0, 9, 0, 9, 9, 0, 9, 9, 0, 0, 9, 9, 0, 0, 0, 0, 9, 9, 0, 9], [9, 0, 0, 9, 0, 9, 9, 0, 0, 0, 0, 9, 9, 0, 9, 0, 9, 0, 9, 9], [9, 0, 9, 9, 9, 0, 0, 0, 9, 9, 9, 0, 9, 9, 0, 9, 9, 9, 0, 9], [0, 9, 0, 0, 0, 9, 9, 0, 9, 0, 0, 0, 0, 9, 0, 0, 0, 0, 9, 9], [0, 0, 0, 0, 0, 9, 9, 0, 0, 9, 0, 0, 9, 9, 0, 9, 9, 0, 9, 9], [9, 0, 9, 0, 0, 9, 9, 0, 9, 0, 9, 0, 9, 0, 0, 0, 9, 0, 0, 9], [9, 9, 9, 0, 0, 0, 9, 9, 0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 0, 0], [0, 0, 0, 9, 0, 9, 0, 9, 9, 0, 9, 0, 9, 9, 0, 0, 9, 9, 9, 9], [0, 0, 0, 0, 9, 0, 9, 9, 0, 9, 9, 9, 9, 9, 0, 9, 9, 9, 0, 0], [0, 0, 0, 0, 0, 0, 9, 9, 0, 9, 0, 0, 0, 0, 0, 9, 0, 9, 0, 9], [9, 9, 9, 0, 9, 9, 0, 0, 9, 9, 0, 9, 0, 0, 9, 9, 9, 0, 9, 9], [9, 0, 0, 9, 0, 9, 9, 9, 0, 0, 0, 9, 9, 0, 0, 0, 9, 0, 9, 9], [0, 9, 9, 0, 0, 0, 9, 0, 0, 9, 9, 9, 0, 0, 0, 0, 9, 0, 9, 0], [9, 9, 0, 0, 9, 0, 0, 0, 0, 0, 9, 0, 9, 0, 0, 0, 0, 9, 9, 0], [9, 0, 9, 9, 0, 9, 0, 9, 9, 0, 0, 9, 9, 0, 9, 9, 0, 0, 0, 9], [9, 9, 0, 9, 9, 9, 0, 0, 9, 0, 0, 0, 9, 9, 9, 0, 9, 0, 0, 9], [0, 9, 9, 0, 9, 0, 9, 9, 0, 9, 0, 9, 9, 0, 0, 0, 0, 9, 9, 9], [0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 6, 6, 0, 0, 6, 6, 6, 6, 6, 0], [0, 6, 0, 6, 6, 6, 0, 0, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 6, 6], [6, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 0, 0, 0, 0, 0, 6, 0, 6, 6], [0, 6, 6, 0, 6, 6, 0, 6, 6, 0, 0, 0, 6, 6, 6, 6, 0, 0, 6, 6], [0, 6, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 0, 0, 6, 6, 0, 6, 0], [0, 6, 0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 6, 6, 0, 0, 6, 0, 0], [6, 6, 6, 0, 6, 0, 6, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0], [0, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 0, 0], [0, 0, 0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 6, 6, 6, 6, 0], [0, 6, 0, 6, 0, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 0, 0, 0, 6, 6], [6, 6, 0, 0, 6, 6, 0, 6, 0, 6, 0, 0, 6, 6, 6, 0, 0, 0, 6, 6], [6, 0, 6, 0, 0, 6, 6, 6, 6, 6, 0, 6, 0, 0, 6, 0, 6, 6, 0, 6], [6, 6, 0, 0, 6, 0, 6, 6, 0, 6, 0, 6, 6, 0, 6, 6, 6, 6, 6, 0], [0, 0, 0, 6, 0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 6, 0, 6, 0, 0, 6], [6, 6, 0, 6, 6, 0, 0, 0, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 0, 0], [6, 0, 6, 0, 6, 6, 0, 0, 0, 6, 0, 6, 6, 6, 6, 0, 0, 6, 6, 6], [6, 0, 6, 0, 6, 0, 6, 0, 6, 0, 6, 6, 6, 0, 6, 6, 0, 6, 6, 0], [6, 0, 6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 6, 6, 0, 6, 0, 6, 6], [0, 0, 0, 6, 0, 6, 6, 6, 6, 0, 0, 0, 0, 6, 0, 0, 6, 6, 0, 6], [0, 0, 6, 0, 0, 6, 6, 6, 0, 6, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0]] -> [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 7, 7, 0, 7, 7, 0], [0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 7, 7, 0], [7, 0, 7, 0, 0, 0, 7, 7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0], [0, 7, 0, 0, 7, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7], [0, 0, 0, 7, 7, 7, 7, 0, 0, 0, 7, 7, 7, 0, 0, 7, 7, 0, 7, 0], [0, 0, 0, 7, 0, 0, 7, 0, 0, 7, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0], [7, 7, 7, 0, 0, 0, 7, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 0, 0, 0], [0, 0, 7, 0, 7, 7, 0, 0, 7, 7, 0, 0, 7, 7, 0, 7, 7, 0, 0, 0], [0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 7, 7, 0, 0, 0, 7, 7, 7, 7, 0], [0, 7, 0, 7, 0, 0, 7, 0, 0, 0, 7, 7, 0, 0, 7, 0, 0, 0, 0, 7], [7, 7, 0, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 7, 0, 0, 0, 0, 7, 7], [0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 0, 7, 0, 0, 0, 0, 7, 7, 0, 7], [0, 0, 0, 0, 7, 0, 7, 7, 0, 7, 0, 0, 0, 0, 7, 7, 0, 7, 0, 0], [0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0, 0, 7, 0, 7, 0, 7, 0, 0, 7], [7, 7, 0, 7, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 7, 7, 0, 0, 0], [0, 0, 7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 0, 7, 7, 0], [7, 0, 0, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7, 0, 7, 0, 0, 7, 7, 0], [7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 7, 0, 7, 0, 7, 7], [0, 0, 0, 7, 0, 7, 0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 7], [0, 0, 7, 0, 0, 7, 7, 7, 0, 7, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 5, 5, 0, 5, 0, 5, 0, 0, 5, 0, 0, 0, 5, 5], [5, 5, 5, 0, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 5, 0, 0, 5, 5, 0], [0, 0, 5, 0, 0, 0, 0, 5, 0, 5, 5, 5, 0, 0, 0, 5, 0, 5, 0, 0], [5, 0, 0, 5, 5, 5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5], [5, 0, 0, 5, 5, 0, 0, 0, 0, 0, 5, 0, 5, 5, 0, 5, 5, 0, 0, 0], [5, 0, 5, 0, 5, 0, 5, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 0, 5, 5], [5, 0, 5, 5, 0, 5, 0, 0, 5, 5, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0], [0, 0, 5, 5, 5, 0, 0, 0, 5, 0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 0], [5, 5, 0, 5, 0, 0, 0, 5, 0, 5, 0, 5, 5, 0, 0, 5, 5, 5, 5, 5], [0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 5, 0, 5], [5, 5, 0, 0, 5, 5, 0, 5, 0, 5, 5, 5, 5, 0, 0, 0, 0, 5, 0, 5], [0, 0, 0, 5, 5, 0, 5, 0, 5, 0, 5, 5, 5, 5, 0, 5, 0, 0, 0, 5], [0, 0, 0, 0, 5, 5, 0, 0, 5, 5, 5, 0, 0, 0, 5, 0, 0, 0, 0, 5], [5, 5, 0, 5, 5, 0, 5, 0, 0, 5, 0, 0, 5, 0, 5, 0, 0, 0, 5, 5], [5, 5, 0, 0, 0, 5, 5, 0, 0, 5, 5, 5, 5, 0, 5, 5, 5, 0, 0, 0], [0, 0, 5, 0, 5, 0, 0, 0, 5, 0, 0, 5, 5, 5, 0, 5, 5, 5, 0, 0], [5, 0, 0, 5, 5, 0, 5, 0, 5, 0, 5, 5, 5, 0, 5, 0, 5, 5, 0, 5], [5, 0, 5, 5, 0, 0, 5, 0, 5, 0, 5, 5, 0, 0, 0, 0, 5, 5, 5, 0], [5, 0, 5, 0, 5, 5, 0, 5, 0, 0, 0, 5, 0, 5, 0, 5, 5, 0, 0, 5], [5, 5, 0, 5, 0, 5, 5, 0, 0, 0, 5, 0, 0, 5, 5, 5, 0, 5, 0, 0], [0, 0, 0, 9, 0, 0, 0, 0, 0, 9, 9, 9, 9, 9, 0, 9, 0, 9, 0, 0], [9, 9, 9, 0, 9, 0, 0, 0, 0, 0, 9, 9, 0, 9, 0, 9, 0, 0, 9, 0], [9, 0, 0, 0, 0, 0, 9, 9, 9, 9, 9, 0, 0, 9, 0, 9, 0, 9, 9, 0], [0, 9, 0, 9, 9, 0, 9, 9, 0, 0, 9, 9, 0, 0, 0, 0, 9, 9, 0, 9], [9, 0, 0, 9, 0, 9, 9, 0, 0, 0, 0, 9, 9, 0, 9, 0, 9, 0, 9, 9], [9, 0, 9, 9, 9, 0, 0, 0, 9, 9, 9, 0, 9, 9, 0, 9, 9, 9, 0, 9], [0, 9, 0, 0, 0, 9, 9, 0, 9, 0, 0, 0, 0, 9, 0, 0, 0, 0, 9, 9], [0, 0, 0, 0, 0, 9, 9, 0, 0, 9, 0, 0, 9, 9, 0, 9, 9, 0, 9, 9], [9, 0, 9, 0, 0, 9, 9, 0, 9, 0, 9, 0, 9, 0, 0, 0, 9, 0, 0, 9], [9, 9, 9, 0, 0, 0, 9, 9, 0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 0, 0], [0, 0, 0, 9, 0, 9, 0, 9, 9, 0, 9, 0, 9, 9, 0, 0, 9, 9, 9, 9], [0, 0, 0, 0, 9, 0, 9, 9, 0, 9, 9, 9, 9, 9, 0, 9, 9, 9, 0, 0], [0, 0, 0, 0, 0, 0, 9, 9, 0, 9, 0, 0, 0, 0, 0, 9, 0, 9, 0, 9], [9, 9, 9, 0, 9, 9, 0, 0, 9, 9, 0, 9, 0, 0, 9, 9, 9, 0, 9, 9], [9, 0, 0, 9, 0, 9, 9, 9, 0, 0, 0, 9, 9, 0, 0, 0, 9, 0, 9, 9], [0, 9, 9, 0, 0, 0, 9, 0, 0, 9, 9, 9, 0, 0, 0, 0, 9, 0, 9, 0], [9, 9, 0, 0, 9, 0, 0, 0, 0, 0, 9, 0, 9, 0, 0, 0, 0, 9, 9, 0], [9, 0, 9, 9, 0, 9, 0, 9, 9, 0, 0, 9, 9, 0, 9, 9, 0, 0, 0, 9], [9, 9, 0, 9, 9, 9, 0, 0, 9, 0, 0, 0, 9, 9, 9, 0, 9, 0, 0, 9], [0, 9, 9, 0, 9, 0, 9, 9, 0, 9, 0, 9, 9, 0, 0, 0, 0, 9, 9, 9], [0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 6, 6, 0, 0, 6, 6, 6, 6, 6, 0], [0, 6, 0, 6, 6, 6, 0, 0, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 6, 6], [6, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 0, 0, 0, 0, 0, 6, 0, 6, 6], [0, 6, 6, 0, 6, 6, 0, 6, 6, 0, 0, 0, 6, 6, 6, 6, 0, 0, 6, 6], [0, 6, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 0, 0, 6, 6, 0, 6, 0], [0, 6, 0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 6, 6, 0, 0, 6, 0, 0], [6, 6, 6, 0, 6, 0, 6, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0], [0, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 0, 0], [0, 0, 0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 6, 6, 6, 6, 0], [0, 6, 0, 6, 0, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 0, 0, 0, 6, 6], [6, 6, 0, 0, 6, 6, 0, 6, 0, 6, 0, 0, 6, 6, 6, 0, 0, 0, 6, 6], [6, 0, 6, 0, 0, 6, 6, 6, 6, 6, 0, 6, 0, 0, 6, 0, 6, 6, 0, 6], [6, 6, 0, 0, 6, 0, 6, 6, 0, 6, 0, 6, 6, 0, 6, 6, 6, 6, 6, 0], [0, 0, 0, 6, 0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 6, 0, 6, 0, 0, 6], [6, 6, 0, 6, 6, 0, 0, 0, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 0, 0], [6, 0, 6, 0, 6, 6, 0, 0, 0, 6, 0, 6, 6, 6, 6, 0, 0, 6, 6, 6], [6, 0, 6, 0, 6, 0, 6, 0, 6, 0, 6, 6, 6, 0, 6, 6, 0, 6, 6, 0], [6, 0, 6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 6, 6, 0, 6, 0, 6, 6], [0, 0, 0, 6, 0, 6, 6, 6, 6, 0, 0, 0, 0, 6, 0, 0, 6, 6, 0, 6], [0, 0, 6, 0, 0, 6, 6, 6, 0, 6, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0]] -> [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 7, 7, 0, 7, 7, 0], [0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 7, 7, 0], [7, 0, 7, 0, 0, 0, 7, 7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0], [0, 7, 0, 0, 7, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7], [0, 0, 0, 7, 7, 7, 7, 0, 0, 0, 7, 7, 7, 0, 0, 7, 7, 0, 7, 0], [0, 0, 0, 7, 0, 0, 7, 0, 0, 7, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0], [7, 7, 7, 0, 0, 0, 7, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 0, 0, 0], [0, 0, 7, 0, 7, 7, 0, 0, 7, 7, 0, 0, 7, 7, 0, 7, 7, 0, 0, 0], [0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 7, 7, 0, 0, 0, 7, 7, 7, 7, 0], [0, 7, 0, 7, 0, 0, 7, 0, 0, 0, 7, 7, 0, 0, 7, 0, 0, 0, 0, 7], [7, 7, 0, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 7, 0, 0, 0, 0, 7, 7], [0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 0, 7, 0, 0, 0, 0, 7, 7, 0, 7], [0, 0, 0, 0, 7, 0, 7, 7, 0, 7, 0, 0, 0, 0, 7, 7, 0, 7, 0, 0], [0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0, 0, 7, 0, 7, 0, 7, 0, 0, 7], [7, 7, 0, 7, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 7, 7, 0, 0, 0], [0, 0, 7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 0, 7, 7, 0], [7, 0, 0, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7, 0, 7, 0, 0, 7, 7, 0], [7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 7, 0, 7, 0, 7, 7], [0, 0, 0, 7, 0, 7, 0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 7], [0, 0, 7, 0, 0, 7, 7, 7, 0, 7, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[5, 5, 0, 5, 5, 0, 5, 5, 0, 5, 5, 5, 0, 0, 0, 5, 5, 0, 5, 5], [0, 0, 0, 0, 0, 5, 5, 0, 5, 0, 5, 5, 0, 5, 5, 0, 5, 0, 5, 5], [0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 5, 5, 5, 0, 0, 0, 5, 5, 0], [5, 0, 5, 5, 5, 0, 5, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 5, 0, 5], [0, 5, 5, 0, 5, 5, 5, 5, 0, 0, 5, 0, 5, 5, 5, 5, 5, 5, 0, 5], [5, 5, 5, 5, 5, 0, 0, 0, 0, 5, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0], [0, 5, 5, 0, 5, 0, 5, 5, 0, 5, 5, 5, 5, 0, 0, 0, 0, 5, 0, 0], [5, 5, 5, 0, 5, 5, 0, 5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 5, 0, 5], [5, 5, 5, 5, 0, 5, 5, 0, 5, 5, 5, 5, 5, 5, 5, 0, 0, 5, 5, 5], [5, 5, 0, 0, 5, 0, 5, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0, 0, 5, 5], [0, 0, 0, 0, 5, 5, 0, 5, 5, 0, 5, 5, 0, 0, 0, 0, 0, 0, 5, 5], [0, 0, 5, 5, 5, 5, 0, 0, 0, 0, 5, 0, 0, 0, 5, 5, 0, 5, 5, 0], [0, 5, 0, 5, 5, 0, 0, 5, 5, 0, 0, 5, 0, 5, 0, 0, 0, 0, 5, 5], [5, 5, 5, 5, 0, 0, 5, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [0, 0, 0, 5, 0, 5, 5, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0, 5, 5], [5, 5, 5, 5, 5, 0, 0, 0, 0, 5, 5, 0, 0, 5, 0, 0, 5, 5, 0, 0], [0, 0, 5, 0, 0, 5, 5, 0, 5, 5, 0, 0, 5, 0, 5, 0, 0, 0, 5, 5], [0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 5, 0, 5, 0, 0, 0], [0, 0, 0, 0, 5, 5, 5, 5, 0, 5, 5, 5, 0, 5, 0, 5, 5, 0, 5, 0], [5, 5, 5, 5, 5, 5, 0, 0, 0, 5, 5, 5, 0, 5, 0, 0, 5, 0, 5, 5], [9, 9, 9, 9, 0, 0, 0, 0, 0, 0, 9, 9, 0, 9, 9, 0, 9, 0, 0, 9], [9, 9, 0, 0, 0, 0, 9, 0, 0, 9, 0, 0, 9, 9, 9, 9, 0, 9, 0, 0], [0, 9, 9, 0, 0, 0, 0, 9, 9, 0, 0, 0, 0, 9, 9, 9, 0, 9, 9, 0], [0, 0, 9, 0, 9, 0, 9, 0, 0, 9, 0, 9, 0, 0, 9, 0, 9, 0, 9, 0], [0, 9, 9, 0, 9, 9, 9, 0, 9, 9, 0, 0, 9, 0, 9, 9, 9, 0, 0, 0], [9, 9, 9, 0, 0, 9, 9, 0, 9, 0, 0, 9, 9, 0, 0, 9, 9, 9, 9, 9], [0, 0, 0, 9, 0, 9, 9, 9, 0, 0, 0, 9, 0, 9, 9, 9, 9, 9, 9, 9], [9, 9, 0, 9, 9, 0, 9, 0, 0, 0, 9, 0, 0, 9, 0, 9, 0, 0, 0, 9], [0, 9, 9, 0, 0, 0, 9, 9, 0, 9, 9, 0, 9, 0, 0, 9, 9, 0, 9, 9], [9, 0, 0, 9, 9, 9, 0, 9, 9, 9, 0, 0, 9, 9, 0, 9, 0, 9, 0, 9], [9, 9, 9, 9, 9, 0, 0, 0, 9, 0, 0, 9, 9, 0, 9, 0, 9, 0, 0, 0], [9, 9, 9, 9, 9, 9, 9, 9, 0, 0, 0, 9, 9, 0, 0, 0, 9, 9, 0, 9], [9, 9, 0, 0, 0, 0, 9, 0, 0, 0, 9, 0, 9, 9, 0, 9, 0, 9, 9, 0], [9, 0, 9, 0, 9, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 9, 9, 9, 0], [9, 9, 0, 9, 9, 0, 0, 9, 0, 0, 9, 9, 0, 0, 0, 9, 9, 9, 0, 0], [0, 9, 0, 0, 9, 9, 0, 0, 9, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 0], [9, 0, 0, 9, 9, 0, 9, 0, 9, 0, 0, 9, 0, 0, 0, 0, 0, 9, 0, 9], [0, 0, 0, 9, 0, 9, 9, 0, 0, 0, 9, 9, 0, 9, 9, 9, 9, 9, 0, 0], [9, 9, 0, 9, 9, 0, 9, 0, 9, 9, 9, 0, 0, 9, 9, 9, 0, 0, 9, 9], [9, 9, 0, 9, 9, 9, 0, 0, 0, 9, 9, 9, 0, 0, 9, 0, 0, 9, 9, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> ",
+                "test": {
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+            "Replicate 4": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs as demonstration. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[5, 0, 5, 0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 0, 5, 5, 5, 5, 0, 0], [0, 5, 0, 5, 0, 0, 5, 0, 0, 0, 0, 5, 0, 5, 5, 5, 5, 5, 0, 5], [5, 5, 5, 0, 0, 5, 5, 0, 5, 0, 5, 0, 5, 5, 0, 0, 5, 5, 0, 0], [0, 0, 5, 0, 5, 5, 0, 5, 5, 0, 5, 0, 0, 5, 5, 5, 5, 0, 0, 5], [5, 0, 5, 5, 5, 5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 5, 0, 5, 5, 5], [5, 5, 0, 5, 0, 5, 5, 0, 0, 5, 5, 5, 0, 5, 5, 5, 0, 5, 0, 0], [5, 5, 5, 0, 0, 5, 0, 5, 5, 5, 5, 0, 0, 5, 5, 5, 5, 5, 5, 5], [0, 5, 0, 0, 5, 0, 5, 5, 0, 5, 5, 5, 5, 5, 5, 5, 0, 0, 0, 5], [5, 5, 5, 5, 0, 5, 0, 0, 5, 5, 5, 5, 0, 0, 5, 5, 0, 0, 0, 5], [5, 0, 0, 5, 0, 0, 0, 5, 5, 0, 5, 5, 5, 0, 0, 0, 5, 0, 5, 0], [0, 0, 5, 0, 0, 0, 5, 5, 0, 0, 0, 5, 0, 5, 5, 0, 5, 0, 5, 0], [0, 0, 5, 5, 5, 0, 5, 0, 0, 0, 5, 0, 0, 5, 5, 0, 5, 5, 5, 0], [5, 0, 0, 5, 5, 0, 5, 0, 5, 0, 5, 5, 0, 0, 5, 5, 5, 5, 0, 0], [5, 5, 5, 5, 0, 0, 5, 0, 5, 0, 5, 5, 5, 0, 0, 0, 0, 5, 0, 5], [5, 0, 0, 0, 0, 5, 0, 0, 5, 0, 5, 5, 5, 0, 0, 0, 0, 5, 5, 5], [5, 0, 5, 5, 0, 0, 0, 0, 0, 0, 5, 5, 0, 5, 5, 0, 0, 5, 5, 5], [0, 5, 5, 5, 5, 0, 5, 5, 0, 5, 5, 0, 5, 5, 0, 0, 5, 5, 0, 0], [0, 0, 5, 5, 5, 0, 5, 5, 0, 5, 0, 5, 0, 5, 0, 5, 5, 5, 5, 0], [5, 0, 5, 5, 5, 0, 0, 0, 5, 5, 0, 0, 5, 0, 5, 5, 5, 5, 0, 5], [0, 0, 5, 0, 0, 0, 5, 5, 0, 5, 0, 0, 5, 5, 0, 0, 5, 0, 0, 5], [0, 0, 9, 0, 0, 0, 0, 9, 9, 0, 9, 0, 0, 0, 9, 9, 0, 9, 9, 9], [9, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 9, 0, 0, 9, 0, 0, 9, 0, 0], [0, 9, 9, 0, 9, 9, 9, 9, 9, 0, 9, 0, 9, 9, 9, 9, 9, 9, 9, 0], [9, 0, 9, 0, 0, 0, 9, 9, 0, 0, 9, 0, 0, 9, 0, 9, 0, 9, 9, 9], [0, 9, 0, 0, 0, 0, 9, 9, 0, 9, 9, 9, 0, 9, 9, 0, 9, 0, 9, 9], [9, 9, 9, 9, 0, 0, 9, 0, 0, 0, 0, 0, 9, 0, 0, 9, 9, 0, 9, 0], [9, 9, 9, 9, 0, 0, 0, 9, 9, 0, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0], [9, 9, 9, 0, 9, 0, 9, 0, 9, 0, 9, 9, 9, 9, 0, 9, 0, 9, 9, 0], [0, 9, 0, 9, 0, 9, 9, 9, 0, 9, 0, 0, 0, 0, 9, 9, 9, 0, 0, 9], [9, 0, 9, 0, 9, 9, 9, 0, 0, 0, 0, 9, 0, 0, 9, 9, 0, 0, 0, 0], [0, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 0], [0, 9, 0, 9, 0, 0, 9, 9, 9, 0, 9, 0, 0, 9, 0, 0, 9, 0, 9, 9], [0, 9, 0, 9, 9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 0, 9, 0, 9, 0, 0], [9, 9, 0, 0, 9, 0, 9, 0, 9, 9, 9, 9, 0, 0, 0, 0, 0, 0, 9, 0], [0, 9, 9, 9, 0, 9, 0, 9, 0, 9, 0, 0, 9, 0, 0, 0, 9, 0, 0, 9], [9, 9, 0, 9, 9, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0, 0, 0, 9, 9, 0], [9, 9, 9, 9, 9, 0, 9, 0, 0, 9, 0, 9, 0, 9, 0, 0, 0, 0, 0, 9], [0, 9, 9, 0, 0, 0, 0, 0, 9, 9, 0, 9, 0, 9, 9, 0, 9, 0, 0, 0], [0, 0, 0, 9, 0, 0, 0, 0, 9, 9, 9, 0, 0, 9, 0, 9, 9, 0, 9, 0], [9, 0, 0, 0, 9, 9, 0, 9, 9, 0, 0, 9, 9, 9, 9, 0, 9, 9, 9, 0], [6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 0, 6, 0, 6, 0, 6, 6, 0, 6, 6], [6, 0, 6, 6, 0, 6, 0, 0, 6, 0, 0, 6, 6, 0, 6, 0, 0, 6, 0, 6], [0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 6, 6, 0, 0, 6, 0, 0, 6, 0, 6], [0, 6, 0, 0, 6, 6, 6, 6, 0, 0, 0, 6, 0, 6, 0, 0, 0, 6, 6, 6], [6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 6, 6, 0, 6, 0, 6, 6, 6, 0], [0, 0, 6, 0, 0, 6, 6, 0, 6, 6, 0, 6, 6, 0, 6, 6, 0, 6, 0, 6], [0, 0, 6, 0, 6, 6, 0, 6, 0, 0, 0, 0, 0, 0, 6, 0, 0, 6, 0, 6], [6, 0, 0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6, 0, 0, 6, 6, 0, 0, 6], [0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0, 6], [6, 0, 0, 6, 0, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 6, 6, 0, 0, 0, 6, 0, 6, 0, 0, 6, 6, 0, 6, 0, 6, 6], [6, 0, 0, 6, 0, 6, 0, 6, 6, 0, 0, 6, 6, 0, 6, 6, 0, 0, 0, 6], [0, 6, 0, 6, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6], [0, 6, 6, 0, 0, 0, 6, 6, 0, 6, 0, 0, 0, 0, 0, 6, 0, 0, 6, 6], [0, 0, 6, 0, 0, 0, 0, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6, 0, 6, 0], [6, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6, 0], [0, 6, 0, 0, 6, 6, 0, 6, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 6, 6], [0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6], [0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 0, 6, 6, 0, 6, 6, 6, 0, 6, 0], [6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 6, 6, 6]] -> [[7, 0, 7, 0, 0, 0, 7, 0, 7, 0, 0, 7, 0, 0, 0, 7, 7, 0, 7, 7], [7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 7, 0, 7], [0, 0, 7, 0, 0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7, 0, 0], [0, 0, 0, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 7, 7], [7, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 0, 7, 0, 7, 7, 7, 0], [0, 0, 7, 0, 0, 7, 7, 0, 0, 7, 0, 7, 7, 0, 7, 7, 0, 7, 0, 0], [0, 0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 0, 7], [7, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 0, 0, 7, 0, 0, 0, 7], [0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7], [7, 0, 0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0], [0, 0, 0, 7, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7], [0, 7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 0, 0, 7, 0, 0], [0, 7, 7, 0, 0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7], [0, 0, 7, 0, 0, 0, 0, 7, 7, 7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0], [7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 7, 0, 0, 0, 7, 0], [0, 7, 0, 0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0, 7], [0, 7, 7, 7, 7, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0], [0, 0, 7, 7, 7, 0, 0, 0, 7, 0, 0, 0, 7, 0, 7, 7, 7, 0, 7, 0], [7, 0, 7, 0, 7, 7, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 7]]\nExample input-output arrays:\n[[5, 0, 5, 0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 0, 5, 5, 5, 5, 0, 0], [0, 5, 0, 5, 0, 0, 5, 0, 0, 0, 0, 5, 0, 5, 5, 5, 5, 5, 0, 5], [5, 5, 5, 0, 0, 5, 5, 0, 5, 0, 5, 0, 5, 5, 0, 0, 5, 5, 0, 0], [0, 0, 5, 0, 5, 5, 0, 5, 5, 0, 5, 0, 0, 5, 5, 5, 5, 0, 0, 5], [5, 0, 5, 5, 5, 5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 5, 0, 5, 5, 5], [5, 5, 0, 5, 0, 5, 5, 0, 0, 5, 5, 5, 0, 5, 5, 5, 0, 5, 0, 0], [5, 5, 5, 0, 0, 5, 0, 5, 5, 5, 5, 0, 0, 5, 5, 5, 5, 5, 5, 5], [0, 5, 0, 0, 5, 0, 5, 5, 0, 5, 5, 5, 5, 5, 5, 5, 0, 0, 0, 5], [5, 5, 5, 5, 0, 5, 0, 0, 5, 5, 5, 5, 0, 0, 5, 5, 0, 0, 0, 5], [5, 0, 0, 5, 0, 0, 0, 5, 5, 0, 5, 5, 5, 0, 0, 0, 5, 0, 5, 0], [0, 0, 5, 0, 0, 0, 5, 5, 0, 0, 0, 5, 0, 5, 5, 0, 5, 0, 5, 0], [0, 0, 5, 5, 5, 0, 5, 0, 0, 0, 5, 0, 0, 5, 5, 0, 5, 5, 5, 0], [5, 0, 0, 5, 5, 0, 5, 0, 5, 0, 5, 5, 0, 0, 5, 5, 5, 5, 0, 0], [5, 5, 5, 5, 0, 0, 5, 0, 5, 0, 5, 5, 5, 0, 0, 0, 0, 5, 0, 5], [5, 0, 0, 0, 0, 5, 0, 0, 5, 0, 5, 5, 5, 0, 0, 0, 0, 5, 5, 5], [5, 0, 5, 5, 0, 0, 0, 0, 0, 0, 5, 5, 0, 5, 5, 0, 0, 5, 5, 5], [0, 5, 5, 5, 5, 0, 5, 5, 0, 5, 5, 0, 5, 5, 0, 0, 5, 5, 0, 0], [0, 0, 5, 5, 5, 0, 5, 5, 0, 5, 0, 5, 0, 5, 0, 5, 5, 5, 5, 0], [5, 0, 5, 5, 5, 0, 0, 0, 5, 5, 0, 0, 5, 0, 5, 5, 5, 5, 0, 5], [0, 0, 5, 0, 0, 0, 5, 5, 0, 5, 0, 0, 5, 5, 0, 0, 5, 0, 0, 5], [0, 0, 9, 0, 0, 0, 0, 9, 9, 0, 9, 0, 0, 0, 9, 9, 0, 9, 9, 9], [9, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 9, 0, 0, 9, 0, 0, 9, 0, 0], [0, 9, 9, 0, 9, 9, 9, 9, 9, 0, 9, 0, 9, 9, 9, 9, 9, 9, 9, 0], [9, 0, 9, 0, 0, 0, 9, 9, 0, 0, 9, 0, 0, 9, 0, 9, 0, 9, 9, 9], [0, 9, 0, 0, 0, 0, 9, 9, 0, 9, 9, 9, 0, 9, 9, 0, 9, 0, 9, 9], [9, 9, 9, 9, 0, 0, 9, 0, 0, 0, 0, 0, 9, 0, 0, 9, 9, 0, 9, 0], [9, 9, 9, 9, 0, 0, 0, 9, 9, 0, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0], [9, 9, 9, 0, 9, 0, 9, 0, 9, 0, 9, 9, 9, 9, 0, 9, 0, 9, 9, 0], [0, 9, 0, 9, 0, 9, 9, 9, 0, 9, 0, 0, 0, 0, 9, 9, 9, 0, 0, 9], [9, 0, 9, 0, 9, 9, 9, 0, 0, 0, 0, 9, 0, 0, 9, 9, 0, 0, 0, 0], [0, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 0], [0, 9, 0, 9, 0, 0, 9, 9, 9, 0, 9, 0, 0, 9, 0, 0, 9, 0, 9, 9], [0, 9, 0, 9, 9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 0, 9, 0, 9, 0, 0], [9, 9, 0, 0, 9, 0, 9, 0, 9, 9, 9, 9, 0, 0, 0, 0, 0, 0, 9, 0], [0, 9, 9, 9, 0, 9, 0, 9, 0, 9, 0, 0, 9, 0, 0, 0, 9, 0, 0, 9], [9, 9, 0, 9, 9, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0, 0, 0, 9, 9, 0], [9, 9, 9, 9, 9, 0, 9, 0, 0, 9, 0, 9, 0, 9, 0, 0, 0, 0, 0, 9], [0, 9, 9, 0, 0, 0, 0, 0, 9, 9, 0, 9, 0, 9, 9, 0, 9, 0, 0, 0], [0, 0, 0, 9, 0, 0, 0, 0, 9, 9, 9, 0, 0, 9, 0, 9, 9, 0, 9, 0], [9, 0, 0, 0, 9, 9, 0, 9, 9, 0, 0, 9, 9, 9, 9, 0, 9, 9, 9, 0], [6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 0, 6, 0, 6, 0, 6, 6, 0, 6, 6], [6, 0, 6, 6, 0, 6, 0, 0, 6, 0, 0, 6, 6, 0, 6, 0, 0, 6, 0, 6], [0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 6, 6, 0, 0, 6, 0, 0, 6, 0, 6], [0, 6, 0, 0, 6, 6, 6, 6, 0, 0, 0, 6, 0, 6, 0, 0, 0, 6, 6, 6], [6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 6, 6, 0, 6, 0, 6, 6, 6, 0], [0, 0, 6, 0, 0, 6, 6, 0, 6, 6, 0, 6, 6, 0, 6, 6, 0, 6, 0, 6], [0, 0, 6, 0, 6, 6, 0, 6, 0, 0, 0, 0, 0, 0, 6, 0, 0, 6, 0, 6], [6, 0, 0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6, 0, 0, 6, 6, 0, 0, 6], [0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0, 6], [6, 0, 0, 6, 0, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 6, 6, 0, 0, 0, 6, 0, 6, 0, 0, 6, 6, 0, 6, 0, 6, 6], [6, 0, 0, 6, 0, 6, 0, 6, 6, 0, 0, 6, 6, 0, 6, 6, 0, 0, 0, 6], [0, 6, 0, 6, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6], [0, 6, 6, 0, 0, 0, 6, 6, 0, 6, 0, 0, 0, 0, 0, 6, 0, 0, 6, 6], [0, 0, 6, 0, 0, 0, 0, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6, 0, 6, 0], [6, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6, 0], [0, 6, 0, 0, 6, 6, 0, 6, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 6, 6], [0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6], [0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 0, 6, 6, 0, 6, 6, 6, 0, 6, 0], [6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 6, 6, 6]] -> [[7, 0, 7, 0, 0, 0, 7, 0, 7, 0, 0, 7, 0, 0, 0, 7, 7, 0, 7, 7], [7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 7, 0, 7], [0, 0, 7, 0, 0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7, 0, 0], [0, 0, 0, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 7, 7], [7, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 0, 7, 0, 7, 7, 7, 0], [0, 0, 7, 0, 0, 7, 7, 0, 0, 7, 0, 7, 7, 0, 7, 7, 0, 7, 0, 0], [0, 0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 0, 7], [7, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 0, 0, 7, 0, 0, 0, 7], [0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7], [7, 0, 0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0], [0, 0, 0, 7, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7], [0, 7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 0, 0, 7, 0, 0], [0, 7, 7, 0, 0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7], [0, 0, 7, 0, 0, 0, 0, 7, 7, 7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0], [7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 7, 0, 0, 0, 7, 0], [0, 7, 0, 0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0, 7], [0, 7, 7, 7, 7, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0], [0, 0, 7, 7, 7, 0, 0, 0, 7, 0, 0, 0, 7, 0, 7, 7, 7, 0, 7, 0], [7, 0, 7, 0, 7, 7, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 7]]\nExample input-output arrays:\n[[0, 0, 0, 0, 5, 0, 5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 5, 5, 0, 0], [5, 5, 0, 0, 5, 5, 0, 5, 5, 5, 0, 5, 5, 0, 0, 0, 0, 0, 5, 0], [0, 5, 5, 5, 5, 0, 5, 5, 0, 5, 5, 0, 5, 5, 5, 5, 0, 0, 0, 0], [5, 0, 0, 5, 5, 0, 5, 5, 5, 5, 0, 0, 0, 0, 5, 5, 5, 5, 0, 0], [5, 5, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0, 5, 5, 0, 0, 5, 0, 0, 5], [5, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 5, 5, 5, 5, 0, 0, 0, 0], [0, 0, 5, 0, 5, 0, 0, 0, 0, 0, 5, 0, 5, 5, 0, 5, 5, 0, 5, 5], [5, 0, 0, 5, 5, 5, 5, 0, 5, 0, 0, 5, 5, 0, 5, 5, 5, 5, 0, 5], [0, 0, 0, 0, 5, 0, 5, 0, 0, 5, 0, 0, 5, 0, 5, 0, 0, 5, 5, 5], [5, 0, 0, 0, 5, 0, 0, 0, 5, 0, 5, 0, 5, 5, 0, 0, 5, 0, 5, 0], [5, 5, 5, 5, 5, 0, 0, 0, 5, 5, 0, 5, 5, 0, 0, 0, 0, 5, 5, 0], [0, 5, 5, 0, 5, 0, 0, 0, 0, 5, 0, 0, 5, 5, 0, 0, 0, 0, 5, 5], [5, 0, 5, 0, 5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 5, 5, 0, 5, 5, 0], [0, 0, 5, 5, 0, 0, 0, 5, 0, 5, 0, 5, 0, 5, 5, 0, 0, 0, 5, 5], [0, 5, 0, 0, 5, 5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 5, 0, 5], [5, 0, 5, 5, 5, 0, 0, 5, 0, 0, 0, 5, 5, 0, 0, 5, 5, 5, 0, 5], [5, 5, 0, 5, 5, 0, 5, 5, 5, 5, 5, 0, 0, 5, 0, 0, 0, 0, 5, 0], [0, 5, 0, 0, 5, 0, 5, 0, 0, 0, 5, 0, 5, 5, 5, 0, 0, 0, 5, 5], [5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 5, 0, 5, 0], [5, 5, 5, 5, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 5, 5, 0], [9, 9, 0, 0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 9, 9, 0, 9, 0, 0, 9], [0, 0, 9, 9, 9, 9, 9, 9, 0, 0, 0, 9, 0, 9, 0, 0, 9, 9, 0, 0], [9, 9, 0, 0, 9, 0, 0, 9, 0, 0, 0, 0, 0, 0, 9, 0, 0, 9, 9, 9], [9, 0, 0, 0, 9, 0, 9, 9, 0, 9, 0, 9, 9, 0, 9, 9, 9, 0, 9, 0], [9, 0, 9, 9, 0, 9, 0, 9, 9, 9, 9, 9, 0, 9, 9, 9, 0, 0, 9, 0], [0, 9, 0, 0, 0, 0, 0, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0, 9, 0, 0], [0, 9, 0, 9, 0, 9, 9, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 0, 0], [0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 9, 9, 0, 0, 0, 9, 9], [9, 0, 0, 9, 0, 0, 9, 9, 9, 0, 0, 9, 9, 0, 0, 0, 0, 9, 0, 9], [0, 0, 0, 9, 9, 0, 9, 9, 0, 9, 0, 9, 9, 0, 0, 0, 0, 0, 9, 0], [0, 0, 0, 9, 9, 9, 9, 0, 9, 0, 0, 9, 9, 9, 9, 9, 0, 0, 0, 9], [9, 9, 0, 0, 9, 9, 0, 9, 9, 0, 9, 0, 9, 9, 9, 0, 0, 0, 0, 9], [0, 9, 0, 9, 9, 0, 0, 9, 0, 9, 0, 9, 0, 0, 0, 0, 0, 0, 9, 9], [9, 9, 9, 9, 0, 0, 0, 9, 9, 0, 9, 9, 9, 0, 9, 9, 9, 0, 9, 9], [9, 9, 0, 0, 9, 9, 9, 9, 9, 0, 0, 0, 9, 9, 0, 0, 0, 0, 9, 0], [0, 9, 0, 9, 0, 9, 9, 0, 0, 9, 9, 9, 0, 9, 9, 0, 0, 9, 0, 0], [0, 0, 9, 0, 0, 9, 0, 0, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 0, 9], [9, 0, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 0, 9, 0], [9, 9, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0, 0, 0, 0, 0, 9, 0, 9, 9], [9, 9, 9, 0, 0, 0, 9, 0, 0, 9, 0, 9, 0, 0, 9, 9, 0, 9, 0, 9], [6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 0, 6, 0, 0, 6, 6, 0, 0, 0], [6, 6, 6, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 6, 0, 6, 6], [6, 6, 0, 6, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 6, 0, 0, 0, 6], [6, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 0], [6, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 6, 0], [6, 6, 6, 0, 0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6, 6], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 6, 6, 6, 0, 0], [6, 6, 0, 0, 0, 6, 6, 0, 0, 6, 0, 6, 0, 0, 0, 0, 6, 0, 6, 6], [0, 0, 0, 0, 6, 6, 6, 6, 6, 0, 6, 0, 6, 6, 6, 0, 0, 6, 6, 0], [0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 6, 0, 6, 0, 6, 0, 6, 0], [6, 0, 0, 6, 6, 0, 0, 0, 0, 6, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0], [6, 0, 0, 0, 0, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6, 6, 0], [0, 0, 0, 6, 6, 6, 6, 6, 0, 6, 0, 0, 0, 6, 6, 0, 6, 0, 0, 0], [0, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 0, 6, 0, 6, 0, 0], [0, 0, 6, 0, 0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 6, 0, 6, 0, 6, 0, 6], [0, 0, 6, 0, 0, 6, 6, 0, 6, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 6], [6, 6, 6, 6, 6, 0, 6, 0, 0, 6, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6], [6, 6, 0, 6, 0, 0, 0, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6, 0, 0, 0], [0, 6, 6, 0, 0, 0, 6, 0, 0, 6, 6, 6, 6, 0, 6, 0, 6, 6, 6, 0]] -> [[7, 7, 0, 0, 7, 7, 7, 0, 7, 7, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0], [7, 7, 7, 0, 7, 7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0], [7, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 7], [7, 0, 0, 7, 0, 0, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7, 7, 0, 7, 0], [7, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 7, 7, 7, 7, 0, 0, 7, 0], [7, 7, 0, 0, 0, 0, 0, 7, 0, 0, 7, 7, 0, 0, 7, 0, 0, 0, 0, 0], [0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 7, 7, 0, 0, 0], [7, 7, 0, 0, 0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7], [0, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 7, 7, 0], [0, 0, 0, 7, 7, 0, 7, 7, 7, 0, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0], [7, 0, 0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0], [7, 0, 0, 0, 0, 7, 0, 0, 7, 7, 7, 0, 7, 7, 0, 0, 0, 0, 7, 0], [0, 0, 0, 7, 7, 0, 7, 7, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0], [0, 0, 7, 7, 0, 0, 0, 0, 0, 7, 7, 7, 7, 0, 0, 7, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 7, 7, 7, 0, 7, 7, 0, 0, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7], [0, 0, 7, 0, 0, 7, 7, 0, 7, 0, 7, 0, 7, 7, 0, 7, 7, 0, 0, 7], [7, 7, 0, 0, 7, 0, 7, 0, 0, 7, 0, 7, 7, 0, 7, 7, 0, 0, 7, 7], [7, 7, 0, 7, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0], [0, 7, 7, 0, 0, 0, 7, 0, 0, 7, 0, 7, 0, 0, 7, 0, 7, 7, 7, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing the causal function for some elements.\n[[0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 5, 5], [0, 5, 5, 5, 0, 0, 5, 0, 5, 0, 0, 5, 0, 0, 0, 0, 0, 0, 5, 5], [0, 0, 0, 5, 5, 5, 5, 0, 5, 5, 0, 0, 0, 5, 0, 0, 5, 5, 0, 0], [5, 0, 5, 0, 5, 0, 5, 5, 5, 0, 0, 0, 5, 0, 0, 5, 0, 5, 5, 0], [0, 0, 5, 0, 0, 5, 0, 5, 5, 0, 5, 5, 5, 0, 5, 0, 5, 5, 5, 5], [0, 5, 0, 0, 0, 5, 0, 5, 5, 5, 5, 0, 0, 5, 0, 0, 5, 5, 0, 5], [0, 5, 0, 0, 5, 0, 0, 5, 0, 5, 0, 5, 0, 5, 0, 0, 0, 5, 0, 5], [5, 5, 0, 5, 5, 0, 5, 5, 0, 5, 5, 0, 5, 5, 0, 5, 0, 0, 5, 5], [5, 5, 0, 5, 0, 5, 5, 5, 0, 0, 5, 5, 5, 0, 0, 5, 5, 0, 0, 0], [0, 0, 0, 5, 5, 5, 0, 5, 5, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 5], [0, 5, 5, 5, 0, 5, 5, 5, 5, 0, 0, 5, 5, 5, 0, 0, 5, 5, 0, 5], [0, 5, 0, 5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 5, 0, 5, 5, 0, 0, 5], [5, 5, 0, 0, 0, 0, 0, 5, 5, 0, 5, 0, 0, 0, 0, 5, 0, 5, 5, 5], [5, 0, 0, 0, 0, 0, 0, 5, 0, 5, 0, 5, 0, 0, 0, 0, 5, 5, 0, 5], [0, 5, 0, 0, 0, 0, 5, 5, 0, 5, 5, 0, 5, 5, 5, 0, 0, 0, 0, 0], [0, 5, 0, 0, 5, 5, 0, 0, 5, 0, 0, 5, 5, 5, 5, 5, 5, 5, 0, 5], [0, 5, 0, 0, 5, 0, 5, 5, 0, 0, 0, 5, 5, 0, 0, 5, 5, 0, 5, 5], [0, 5, 5, 0, 0, 0, 0, 5, 0, 5, 0, 0, 0, 5, 0, 5, 5, 0, 0, 0], [0, 5, 5, 0, 5, 0, 5, 0, 5, 5, 0, 0, 5, 5, 0, 5, 5, 0, 0, 0], [0, 0, 5, 0, 5, 5, 0, 0, 5, 5, 0, 5, 0, 0, 0, 0, 5, 5, 0, 0], [0, 0, 9, 9, 9, 0, 9, 9, 9, 0, 9, 9, 9, 0, 0, 9, 0, 9, 9, 0], [9, 9, 0, 0, 0, 0, 0, 0, 9, 9, 9, 0, 9, 0, 9, 9, 0, 0, 9, 9], [0, 0, 9, 9, 0, 9, 9, 0, 9, 9, 9, 9, 9, 9, 0, 9, 9, 0, 0, 0], [0, 9, 9, 9, 0, 9, 0, 0, 9, 0, 9, 0, 0, 9, 0, 0, 0, 9, 0, 9], [0, 9, 0, 0, 9, 0, 9, 0, 0, 0, 0, 0, 9, 0, 0, 0, 9, 9, 0, 9], [9, 0, 9, 9, 9, 9, 9, 0, 0, 0, 0, 0, 9, 0, 9, 9, 9, 0, 9, 9], [9, 0, 9, 0, 9, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9], [9, 0, 0, 9, 9, 9, 9, 9, 9, 9, 0, 0, 0, 0, 0, 9, 9, 9, 0, 0], [0, 9, 9, 0, 9, 9, 0, 0, 0, 9, 9, 0, 0, 9, 9, 9, 9, 0, 9, 0], [9, 9, 9, 0, 0, 9, 0, 0, 9, 0, 9, 0, 0, 9, 9, 9, 9, 9, 0, 9], [9, 9, 9, 0, 0, 0, 0, 9, 0, 9, 9, 0, 0, 0, 0, 0, 9, 9, 9, 0], [0, 0, 9, 9, 0, 0, 9, 0, 0, 9, 0, 9, 0, 0, 0, 9, 9, 9, 9, 0], [9, 0, 9, 0, 0, 9, 9, 0, 9, 0, 9, 0, 9, 9, 9, 9, 9, 9, 0, 0], [0, 0, 0, 0, 9, 9, 9, 0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 9, 0, 0], [0, 0, 9, 9, 0, 0, 0, 0, 0, 9, 9, 9, 0, 0, 9, 9, 9, 9, 0, 9], [9, 0, 9, 0, 9, 0, 0, 9, 9, 0, 0, 0, 9, 0, 0, 9, 9, 0, 9, 9], [9, 9, 0, 9, 9, 0, 9, 9, 9, 0, 0, 9, 0, 0, 9, 0, 0, 9, 9, 0], [0, 9, 9, 9, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 0, 0, 9, 9, 0, 9], [0, 0, 0, 0, 0, 0, 0, 9, 0, 9, 9, 9, 9, 9, 9, 9, 0, 9, 0, 0], [0, 0, 0, 9, 9, 9, 0, 9, 9, 0, 9, 0, 9, 9, 0, 0, 9, 0, 9, 0], [0, 0, 0, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 0, 0, 0, 0, 6, 6, 0], [0, 0, 6, 0, 0, 0, 0, 0, 6, 0, 0, 6, 0, 0, 6, 6, 0, 0, 6, 0], [0, 0, 0, 0, 0, 6, 6, 6, 0, 6, 0, 0, 6, 6, 0, 6, 6, 6, 0, 0], [0, 6, 0, 6, 6, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 6, 0], [0, 6, 6, 6, 0, 6, 6, 6, 6, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6], [0, 6, 0, 0, 6, 6, 6, 0, 0, 6, 0, 6, 0, 0, 0, 6, 0, 0, 0, 6], [6, 6, 6, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6], [6, 6, 6, 0, 0, 6, 6, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 6, 0, 0], [0, 0, 0, 6, 6, 0, 0, 6, 0, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6], [0, 6, 0, 6, 0, 6, 6, 0, 6, 0, 0, 0, 0, 6, 0, 6, 6, 6, 0, 6], [0, 6, 0, 6, 6, 0, 0, 6, 6, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0], [6, 0, 0, 0, 6, 0, 6, 0, 0, 0, 6, 0, 0, 6, 6, 0, 6, 6, 0, 6], [6, 6, 0, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 0, 0], [0, 6, 0, 0, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 0, 0, 0, 6, 0, 6], [0, 0, 0, 6, 0, 0, 6, 0, 0, 6, 6, 0, 6, 0, 0, 6, 6, 6, 6, 0], [0, 6, 0, 0, 0, 6, 6, 6, 6, 6, 0, 0, 6, 0, 6, 6, 0, 6, 0, 0], [6, 0, 0, 6, 6, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 0, 6, 6], [0, 0, 0, 6, 6, 6, 0, 6, 0, 0, 0, 6, 0, 6, 0, 0, 6, 6, 6, 6], [6, 6, 0, 6, 6, 6, 6, 0, 6, 0, 0, 6, 6, 0, 6, 6, 0, 0, 0, 6], [0, 0, 6, 0, 0, 6, 0, 0, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6]] -> ",
+                "test": {
+                    "input": [
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+        "L3": {
+            "Replicate 0": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 5, 0, 0, 5, 0, 5, 0, 5, 5, 0, 0, 5, 0, 5, 0, 5, 5, 5, 5], [5, 5, 0, 0, 0, 5, 0, 5, 5, 5, 0, 5, 5, 0, 5, 5, 5, 5, 5, 0], [0, 0, 0, 5, 0, 5, 5, 5, 0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 5, 0], [5, 5, 5, 5, 5, 0, 5, 5, 5, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 5], [0, 5, 0, 0, 5, 5, 0, 5, 5, 5, 0, 0, 5, 0, 5, 0, 5, 0, 5, 5], [0, 0, 5, 5, 0, 0, 0, 0, 5, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 5], [5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 0, 5, 5, 5, 5, 0, 5, 0, 5, 5], [0, 0, 5, 5, 5, 0, 5, 5, 5, 0, 0, 0, 0, 0, 5, 5, 0, 5, 0, 0], [0, 5, 5, 5, 5, 5, 0, 5, 0, 0, 0, 0, 5, 5, 0, 5, 5, 0, 5, 5], [0, 0, 5, 5, 0, 5, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 5, 5, 5, 0], [0, 0, 5, 5, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 5, 0, 0, 5, 0, 5], [5, 5, 5, 5, 0, 5, 5, 0, 0, 5, 0, 5, 5, 5, 5, 0, 0, 5, 0, 5], [5, 5, 0, 5, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 0, 0, 5, 5, 0], [5, 5, 5, 5, 5, 0, 5, 0, 5, 5, 5, 0, 0, 0, 0, 5, 5, 5, 5, 0], [5, 0, 0, 0, 5, 5, 5, 5, 0, 5, 0, 5, 0, 5, 5, 0, 0, 0, 0, 5], [0, 0, 5, 0, 0, 5, 0, 0, 0, 5, 5, 5, 0, 0, 5, 0, 5, 0, 0, 0], [0, 0, 5, 5, 0, 5, 5, 5, 5, 0, 0, 5, 5, 5, 5, 5, 0, 5, 0, 5], [5, 0, 0, 5, 5, 0, 5, 5, 0, 5, 0, 5, 0, 0, 0, 0, 5, 0, 5, 5], [0, 5, 5, 0, 5, 0, 0, 0, 0, 0, 5, 0, 5, 0, 5, 0, 0, 0, 5, 0], [5, 5, 0, 0, 5, 0, 0, 5, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0], [9, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 0, 0, 0, 9], [0, 0, 9, 9, 0, 0, 9, 0, 0, 0, 9, 9, 9, 9, 9, 0, 9, 9, 0, 0], [9, 9, 0, 9, 9, 9, 9, 0, 9, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 9], [0, 0, 0, 9, 9, 0, 0, 9, 9, 0, 9, 9, 9, 0, 9, 9, 9, 0, 9, 9], [0, 9, 9, 9, 9, 9, 9, 0, 0, 9, 0, 9, 0, 0, 9, 0, 9, 9, 9, 0], [9, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 9, 9, 0, 9], [9, 0, 0, 0, 0, 0, 9, 0, 0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9], [0, 0, 9, 0, 0, 9, 0, 9, 9, 9, 0, 9, 9, 9, 0, 9, 0, 9, 9, 9], [0, 0, 0, 9, 9, 9, 0, 9, 9, 9, 9, 0, 0, 9, 9, 9, 9, 0, 0, 0], [9, 0, 0, 0, 9, 9, 0, 0, 9, 9, 9, 0, 0, 0, 0, 9, 0, 0, 0, 9], [9, 0, 0, 9, 9, 9, 0, 9, 9, 9, 9, 9, 0, 0, 9, 0, 9, 0, 0, 0], [9, 9, 0, 9, 9, 0, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0, 0, 0, 9, 0], [9, 9, 9, 9, 9, 0, 9, 9, 9, 0, 0, 0, 0, 0, 9, 9, 9, 9, 9, 9], [9, 9, 9, 0, 0, 0, 9, 9, 9, 0, 0, 9, 9, 0, 9, 0, 0, 9, 0, 9], [0, 9, 9, 0, 9, 9, 9, 0, 0, 9, 9, 0, 9, 9, 9, 9, 0, 9, 9, 9], [9, 0, 9, 0, 9, 9, 9, 0, 9, 0, 9, 9, 0, 0, 9, 9, 0, 9, 9, 0], [0, 9, 0, 9, 0, 0, 9, 9, 9, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 0], [0, 9, 9, 9, 9, 9, 9, 0, 0, 9, 9, 9, 0, 9, 9, 0, 9, 9, 0, 0], [0, 9, 0, 9, 9, 9, 0, 0, 9, 9, 0, 9, 9, 0, 9, 0, 0, 9, 0, 9], [9, 9, 9, 0, 9, 0, 0, 9, 9, 0, 0, 9, 0, 0, 0, 0, 0, 9, 9, 0], [6, 0, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 0, 6, 6], [0, 0, 6, 0, 0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 0], [0, 0, 6, 0, 0, 6, 0, 6, 0, 0, 0, 6, 6, 0, 6, 0, 6, 6, 6, 0], [6, 0, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0], [6, 6, 0, 6, 6, 0, 6, 0, 6, 6, 0, 0, 0, 0, 6, 0, 6, 6, 0, 0], [0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 6, 6, 0, 0, 0, 6, 0, 0, 0, 0], [0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6], [6, 6, 0, 6, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 6, 0, 6, 0], [6, 6, 6, 0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 6], [6, 0, 0, 6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 6, 0, 0, 6, 6], [0, 0, 6, 6, 6, 6, 6, 0, 0, 0, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6], [0, 0, 6, 6, 6, 6, 0, 6, 0, 0, 6, 6, 6, 6, 6, 0, 0, 6, 6, 6], [6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 0, 6, 0, 6, 6], [0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 6, 0], [0, 6, 0, 6, 6, 0, 0, 0, 6, 6, 6, 0, 6, 6, 6, 6, 0, 6, 0, 0], [6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 6, 0, 6, 0, 0, 6, 0, 0, 0, 6], [0, 0, 0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 6, 0, 0], [0, 0, 6, 0, 0, 0, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 0, 6, 6, 0], [0, 0, 6, 0, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 0, 6, 0, 6], [6, 0, 0, 0, 6, 0, 0, 6, 6, 0, 6, 6, 6, 6, 0, 6, 6, 0, 6, 6]] -> [[7, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 0, 7, 7, 7, 0, 7, 0, 7, 7], [0, 0, 7, 0, 0, 7, 7, 0, 0, 7, 7, 0, 7, 0, 7, 7, 0, 0, 7, 0], [0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 7, 7, 0, 7, 0, 7, 7, 7, 0], [7, 0, 7, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0], [0, 7, 0, 7, 7, 0, 7, 0, 7, 7, 0, 0, 0, 0, 7, 0, 7, 7, 0, 0], [0, 0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0], [0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 7, 0, 7, 7, 7, 7, 7, 7], [0, 0, 0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 0, 0, 7, 0, 0, 0, 7, 0], [0, 7, 7, 0, 0, 7, 0, 7, 7, 0, 7, 0, 7, 7, 7, 7, 0, 0, 7, 7], [7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 7, 7], [0, 0, 7, 7, 7, 7, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0, 7], [0, 0, 7, 7, 7, 7, 0, 7, 0, 0, 7, 7, 7, 7, 7, 0, 0, 7, 7, 7], [7, 7, 7, 7, 0, 0, 7, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7], [0, 7, 7, 7, 7, 0, 7, 0, 7, 7, 0, 7, 7, 0, 0, 7, 7, 0, 7, 0], [0, 7, 0, 0, 7, 0, 0, 0, 0, 7, 7, 0, 7, 7, 7, 7, 0, 7, 0, 0], [7, 0, 7, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 0], [0, 0, 7, 0, 0, 0, 7, 0, 0, 7, 7, 7, 0, 0, 7, 0, 0, 7, 7, 0], [0, 0, 7, 0, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 0, 7, 0, 7], [7, 0, 0, 0, 7, 0, 0, 7, 7, 0, 7, 7, 7, 7, 0, 7, 7, 0, 7, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [0, 0, 0, 0, 9, 9, 9, 0, 0, 9, 0, 0, 0, 0, 0, 9, 9, 0, 9, 9], [9, 0, 0, 0, 9, 0, 0, 9, 0, 9, 0, 9, 9, 9, 9, 0, 9, 9, 0, 9], [0, 9, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 9, 0, 0, 0, 0, 9, 9, 0], [0, 9, 0, 9, 9, 0, 9, 9, 0, 9, 0, 0, 0, 0, 9, 9, 0, 0, 0, 0], [0, 9, 9, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 9, 9, 9, 0, 9, 9], [9, 0, 9, 9, 0, 9, 0, 0, 9, 0, 9, 9, 9, 9, 0, 0, 0, 0, 9, 0], [9, 9, 9, 0, 9, 9, 0, 9, 9, 9, 0, 9, 9, 9, 0, 0, 9, 9, 9, 9], [0, 9, 0, 0, 0, 0, 9, 9, 0, 0, 9, 9, 9, 9, 0, 9, 9, 0, 0, 9], [0, 9, 9, 9, 0, 9, 0, 0, 9, 0, 9, 0, 9, 9, 0, 9, 0, 0, 0, 0], [0, 9, 9, 9, 0, 0, 0, 9, 9, 0, 0, 0, 9, 9, 0, 0, 9, 0, 0, 0], [9, 0, 0, 9, 9, 0, 9, 9, 9, 0, 9, 0, 0, 9, 9, 0, 0, 0, 0, 9], [0, 9, 0, 0, 0, 0, 0, 9, 9, 0, 9, 9, 0, 0, 9, 0, 0, 9, 0, 9], [9, 0, 0, 0, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 0, 9, 9, 0, 9, 9], [9, 0, 0, 9, 0, 9, 9, 0, 0, 0, 9, 0, 0, 0, 0, 9, 9, 0, 0, 0], [9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 0, 9, 0, 0, 9, 0, 9, 0, 9, 9], [9, 0, 9, 9, 0, 9, 9, 9, 9, 9, 0, 0, 0, 9, 9, 0, 0, 0, 9, 9], [9, 9, 0, 9, 0, 0, 9, 9, 0, 9, 9, 9, 0, 0, 9, 9, 0, 0, 0, 9], [0, 9, 0, 0, 0, 0, 0, 9, 0, 0, 9, 9, 9, 9, 9, 9, 0, 0, 9, 0], [9, 9, 9, 9, 9, 0, 0, 0, 9, 0, 9, 9, 9, 0, 9, 9, 0, 0, 9, 0], [9, 0, 0, 0, 9, 0, 9, 0, 0, 0, 9, 9, 9, 9, 9, 9, 9, 0, 9, 9], [6, 6, 6, 0, 0, 6, 0, 0, 0, 0, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6], [6, 0, 6, 6, 0, 0, 0, 6, 6, 0, 6, 6, 6, 6, 6, 0, 0, 6, 0, 0], [6, 6, 6, 6, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 6, 6, 0, 6, 0, 6], [6, 0, 0, 0, 6, 6, 6, 6, 0, 0, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6], [6, 0, 0, 6, 6, 6, 6, 6, 0, 0, 6, 6, 0, 0, 6, 6, 6, 6, 6, 0], [6, 0, 6, 0, 6, 0, 6, 0, 6, 6, 0, 0, 0, 6, 0, 6, 0, 6, 0, 0], [0, 6, 6, 0, 6, 6, 6, 0, 6, 6, 6, 0, 0, 6, 0, 0, 0, 0, 6, 6], [6, 0, 0, 6, 6, 6, 6, 6, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0, 6, 6], [6, 6, 0, 0, 6, 0, 0, 6, 0, 6, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6], [0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 6, 0, 6, 0, 6, 6, 6, 0, 0, 6], [6, 0, 0, 6, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 6, 0, 6], [0, 0, 6, 0, 0, 0, 0, 0, 0, 6, 0, 6, 6, 0, 0, 6, 0, 6, 0, 0], [6, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 6, 6, 6, 6], [0, 6, 6, 6, 6, 0, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0, 6, 6, 0, 6], [0, 0, 6, 0, 6, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6, 0, 0, 6, 6, 0], [0, 0, 0, 6, 6, 6, 0, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6], [0, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 6, 6, 0, 0, 6, 0, 6, 0, 0], [6, 6, 0, 0, 6, 0, 0, 6, 6, 0, 0, 0, 6, 0, 6, 0, 6, 6, 6, 0], [6, 0, 0, 0, 6, 0, 6, 0, 6, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 6], [6, 6, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 6, 0, 0, 6, 6]] -> [[7, 7, 7, 0, 0, 7, 0, 0, 0, 0, 7, 7, 7, 0, 0, 7, 0, 7, 7, 7], [7, 0, 7, 7, 0, 0, 0, 7, 7, 0, 7, 7, 7, 7, 7, 0, 0, 7, 0, 0], [7, 7, 7, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7], [7, 0, 0, 0, 7, 7, 7, 7, 0, 0, 7, 7, 0, 0, 7, 7, 7, 7, 7, 7], [7, 0, 0, 7, 7, 7, 7, 7, 0, 0, 7, 7, 0, 0, 7, 7, 7, 7, 7, 0], [7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0, 7, 0, 7, 0, 0], [0, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 0, 0, 7, 0, 0, 0, 0, 7, 7], [7, 0, 0, 7, 7, 7, 7, 7, 7, 0, 7, 0, 7, 0, 0, 0, 0, 0, 7, 7], [7, 7, 0, 0, 7, 0, 0, 7, 0, 7, 0, 7, 7, 0, 0, 7, 0, 7, 0, 7], [0, 0, 0, 7, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 0, 0, 7], [7, 0, 0, 7, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7], [0, 0, 7, 0, 0, 0, 0, 0, 0, 7, 0, 7, 7, 0, 0, 7, 0, 7, 0, 0], [7, 0, 0, 0, 7, 0, 0, 0, 7, 7, 0, 0, 0, 7, 7, 0, 7, 7, 7, 7], [0, 7, 7, 7, 7, 0, 0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 7, 7, 0, 7], [0, 0, 7, 0, 7, 7, 0, 7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 7, 7, 0], [0, 0, 0, 7, 7, 7, 0, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 7], [0, 7, 7, 7, 7, 7, 7, 0, 0, 0, 0, 7, 7, 0, 0, 7, 0, 7, 0, 0], [7, 7, 0, 0, 7, 0, 0, 7, 7, 0, 0, 0, 7, 0, 7, 0, 7, 7, 7, 0], [7, 0, 0, 0, 7, 0, 7, 0, 7, 0, 7, 7, 0, 7, 7, 0, 0, 7, 7, 7], [7, 7, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 0, 7, 7]]\nExample input-output arrays:\n[[0, 0, 0, 0, 5, 0, 5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 5, 5, 0, 0], [5, 5, 0, 0, 5, 5, 0, 5, 5, 5, 0, 5, 5, 0, 0, 0, 0, 0, 5, 0], [0, 5, 5, 5, 5, 0, 5, 5, 0, 5, 5, 0, 5, 5, 5, 5, 0, 0, 0, 0], [5, 0, 0, 5, 5, 0, 5, 5, 5, 5, 0, 0, 0, 0, 5, 5, 5, 5, 0, 0], [5, 5, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0, 5, 5, 0, 0, 5, 0, 0, 5], [5, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 5, 5, 5, 5, 0, 0, 0, 0], [0, 0, 5, 0, 5, 0, 0, 0, 0, 0, 5, 0, 5, 5, 0, 5, 5, 0, 5, 5], [5, 0, 0, 5, 5, 5, 5, 0, 5, 0, 0, 5, 5, 0, 5, 5, 5, 5, 0, 5], [0, 0, 0, 0, 5, 0, 5, 0, 0, 5, 0, 0, 5, 0, 5, 0, 0, 5, 5, 5], [5, 0, 0, 0, 5, 0, 0, 0, 5, 0, 5, 0, 5, 5, 0, 0, 5, 0, 5, 0], [5, 5, 5, 5, 5, 0, 0, 0, 5, 5, 0, 5, 5, 0, 0, 0, 0, 5, 5, 0], [0, 5, 5, 0, 5, 0, 0, 0, 0, 5, 0, 0, 5, 5, 0, 0, 0, 0, 5, 5], [5, 0, 5, 0, 5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 5, 5, 0, 5, 5, 0], [0, 0, 5, 5, 0, 0, 0, 5, 0, 5, 0, 5, 0, 5, 5, 0, 0, 0, 5, 5], [0, 5, 0, 0, 5, 5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 5, 0, 5], [5, 0, 5, 5, 5, 0, 0, 5, 0, 0, 0, 5, 5, 0, 0, 5, 5, 5, 0, 5], [5, 5, 0, 5, 5, 0, 5, 5, 5, 5, 5, 0, 0, 5, 0, 0, 0, 0, 5, 0], [0, 5, 0, 0, 5, 0, 5, 0, 0, 0, 5, 0, 5, 5, 5, 0, 0, 0, 5, 5], [5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 5, 0, 5, 0], [5, 5, 5, 5, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 5, 5, 0], [9, 9, 0, 0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 9, 9, 0, 9, 0, 0, 9], [0, 0, 9, 9, 9, 9, 9, 9, 0, 0, 0, 9, 0, 9, 0, 0, 9, 9, 0, 0], [9, 9, 0, 0, 9, 0, 0, 9, 0, 0, 0, 0, 0, 0, 9, 0, 0, 9, 9, 9], [9, 0, 0, 0, 9, 0, 9, 9, 0, 9, 0, 9, 9, 0, 9, 9, 9, 0, 9, 0], [9, 0, 9, 9, 0, 9, 0, 9, 9, 9, 9, 9, 0, 9, 9, 9, 0, 0, 9, 0], [0, 9, 0, 0, 0, 0, 0, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0, 9, 0, 0], [0, 9, 0, 9, 0, 9, 9, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 0, 0], [0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 9, 9, 0, 0, 0, 9, 9], [9, 0, 0, 9, 0, 0, 9, 9, 9, 0, 0, 9, 9, 0, 0, 0, 0, 9, 0, 9], [0, 0, 0, 9, 9, 0, 9, 9, 0, 9, 0, 9, 9, 0, 0, 0, 0, 0, 9, 0], [0, 0, 0, 9, 9, 9, 9, 0, 9, 0, 0, 9, 9, 9, 9, 9, 0, 0, 0, 9], [9, 9, 0, 0, 9, 9, 0, 9, 9, 0, 9, 0, 9, 9, 9, 0, 0, 0, 0, 9], [0, 9, 0, 9, 9, 0, 0, 9, 0, 9, 0, 9, 0, 0, 0, 0, 0, 0, 9, 9], [9, 9, 9, 9, 0, 0, 0, 9, 9, 0, 9, 9, 9, 0, 9, 9, 9, 0, 9, 9], [9, 9, 0, 0, 9, 9, 9, 9, 9, 0, 0, 0, 9, 9, 0, 0, 0, 0, 9, 0], [0, 9, 0, 9, 0, 9, 9, 0, 0, 9, 9, 9, 0, 9, 9, 0, 0, 9, 0, 0], [0, 0, 9, 0, 0, 9, 0, 0, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 0, 9], [9, 0, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 0, 9, 0], [9, 9, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0, 0, 0, 0, 0, 9, 0, 9, 9], [9, 9, 9, 0, 0, 0, 9, 0, 0, 9, 0, 9, 0, 0, 9, 9, 0, 9, 0, 9], [6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 0, 6, 0, 0, 6, 6, 0, 0, 0], [6, 6, 6, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 6, 0, 6, 6], [6, 6, 0, 6, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 6, 0, 0, 0, 6], [6, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 0], [6, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 6, 0], [6, 6, 6, 0, 0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6, 6], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 6, 6, 6, 0, 0], [6, 6, 0, 0, 0, 6, 6, 0, 0, 6, 0, 6, 0, 0, 0, 0, 6, 0, 6, 6], [0, 0, 0, 0, 6, 6, 6, 6, 6, 0, 6, 0, 6, 6, 6, 0, 0, 6, 6, 0], [0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 6, 0, 6, 0, 6, 0, 6, 0], [6, 0, 0, 6, 6, 0, 0, 0, 0, 6, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0], [6, 0, 0, 0, 0, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6, 6, 0], [0, 0, 0, 6, 6, 6, 6, 6, 0, 6, 0, 0, 0, 6, 6, 0, 6, 0, 0, 0], [0, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 0, 6, 0, 6, 0, 0], [0, 0, 6, 0, 0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 6, 0, 6, 0, 6, 0, 6], [0, 0, 6, 0, 0, 6, 6, 0, 6, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 6], [6, 6, 6, 6, 6, 0, 6, 0, 0, 6, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6], [6, 6, 0, 6, 0, 0, 0, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6, 0, 0, 0], [0, 6, 6, 0, 0, 0, 6, 0, 0, 6, 6, 6, 6, 0, 6, 0, 6, 6, 6, 0]] -> [[7, 7, 0, 0, 7, 7, 7, 0, 7, 7, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0], [7, 7, 7, 0, 7, 7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0], [7, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 7], [7, 0, 0, 7, 0, 0, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7, 7, 0, 7, 0], [7, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 7, 7, 7, 7, 0, 0, 7, 0], [7, 7, 0, 0, 0, 0, 0, 7, 0, 0, 7, 7, 0, 0, 7, 0, 0, 0, 0, 0], [0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 7, 7, 0, 0, 0], [7, 7, 0, 0, 0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7], [0, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 7, 7, 0], [0, 0, 0, 7, 7, 0, 7, 7, 7, 0, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0], [7, 0, 0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0], [7, 0, 0, 0, 0, 7, 0, 0, 7, 7, 7, 0, 7, 7, 0, 0, 0, 0, 7, 0], [0, 0, 0, 7, 7, 0, 7, 7, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0], [0, 0, 7, 7, 0, 0, 0, 0, 0, 7, 7, 7, 7, 0, 0, 7, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 7, 7, 7, 0, 7, 7, 0, 0, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7], [0, 0, 7, 0, 0, 7, 7, 0, 7, 0, 7, 0, 7, 7, 0, 7, 7, 0, 0, 7], [7, 7, 0, 0, 7, 0, 7, 0, 0, 7, 0, 7, 7, 0, 7, 7, 0, 0, 7, 7], [7, 7, 0, 7, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0], [0, 7, 7, 0, 0, 0, 7, 0, 0, 7, 0, 7, 0, 0, 7, 0, 7, 7, 7, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing the causal function for some elements.\n[[0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 5, 5], [0, 5, 5, 5, 0, 0, 5, 0, 5, 0, 0, 5, 0, 0, 0, 0, 0, 0, 5, 5], [0, 0, 0, 5, 5, 5, 5, 0, 5, 5, 0, 0, 0, 5, 0, 0, 5, 5, 0, 0], [5, 0, 5, 0, 5, 0, 5, 5, 5, 0, 0, 0, 5, 0, 0, 5, 0, 5, 5, 0], [0, 0, 5, 0, 0, 5, 0, 5, 5, 0, 5, 5, 5, 0, 5, 0, 5, 5, 5, 5], [0, 5, 0, 0, 0, 5, 0, 5, 5, 5, 5, 0, 0, 5, 0, 0, 5, 5, 0, 5], [0, 5, 0, 0, 5, 0, 0, 5, 0, 5, 0, 5, 0, 5, 0, 0, 0, 5, 0, 5], [5, 5, 0, 5, 5, 0, 5, 5, 0, 5, 5, 0, 5, 5, 0, 5, 0, 0, 5, 5], [5, 5, 0, 5, 0, 5, 5, 5, 0, 0, 5, 5, 5, 0, 0, 5, 5, 0, 0, 0], [0, 0, 0, 5, 5, 5, 0, 5, 5, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 5], [0, 5, 5, 5, 0, 5, 5, 5, 5, 0, 0, 5, 5, 5, 0, 0, 5, 5, 0, 5], [0, 5, 0, 5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 5, 0, 5, 5, 0, 0, 5], [5, 5, 0, 0, 0, 0, 0, 5, 5, 0, 5, 0, 0, 0, 0, 5, 0, 5, 5, 5], [5, 0, 0, 0, 0, 0, 0, 5, 0, 5, 0, 5, 0, 0, 0, 0, 5, 5, 0, 5], [0, 5, 0, 0, 0, 0, 5, 5, 0, 5, 5, 0, 5, 5, 5, 0, 0, 0, 0, 0], [0, 5, 0, 0, 5, 5, 0, 0, 5, 0, 0, 5, 5, 5, 5, 5, 5, 5, 0, 5], [0, 5, 0, 0, 5, 0, 5, 5, 0, 0, 0, 5, 5, 0, 0, 5, 5, 0, 5, 5], [0, 5, 5, 0, 0, 0, 0, 5, 0, 5, 0, 0, 0, 5, 0, 5, 5, 0, 0, 0], [0, 5, 5, 0, 5, 0, 5, 0, 5, 5, 0, 0, 5, 5, 0, 5, 5, 0, 0, 0], [0, 0, 5, 0, 5, 5, 0, 0, 5, 5, 0, 5, 0, 0, 0, 0, 5, 5, 0, 0], [0, 0, 9, 9, 9, 0, 9, 9, 9, 0, 9, 9, 9, 0, 0, 9, 0, 9, 9, 0], [9, 9, 0, 0, 0, 0, 0, 0, 9, 9, 9, 0, 9, 0, 9, 9, 0, 0, 9, 9], [0, 0, 9, 9, 0, 9, 9, 0, 9, 9, 9, 9, 9, 9, 0, 9, 9, 0, 0, 0], [0, 9, 9, 9, 0, 9, 0, 0, 9, 0, 9, 0, 0, 9, 0, 0, 0, 9, 0, 9], [0, 9, 0, 0, 9, 0, 9, 0, 0, 0, 0, 0, 9, 0, 0, 0, 9, 9, 0, 9], [9, 0, 9, 9, 9, 9, 9, 0, 0, 0, 0, 0, 9, 0, 9, 9, 9, 0, 9, 9], [9, 0, 9, 0, 9, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9], [9, 0, 0, 9, 9, 9, 9, 9, 9, 9, 0, 0, 0, 0, 0, 9, 9, 9, 0, 0], [0, 9, 9, 0, 9, 9, 0, 0, 0, 9, 9, 0, 0, 9, 9, 9, 9, 0, 9, 0], [9, 9, 9, 0, 0, 9, 0, 0, 9, 0, 9, 0, 0, 9, 9, 9, 9, 9, 0, 9], [9, 9, 9, 0, 0, 0, 0, 9, 0, 9, 9, 0, 0, 0, 0, 0, 9, 9, 9, 0], [0, 0, 9, 9, 0, 0, 9, 0, 0, 9, 0, 9, 0, 0, 0, 9, 9, 9, 9, 0], [9, 0, 9, 0, 0, 9, 9, 0, 9, 0, 9, 0, 9, 9, 9, 9, 9, 9, 0, 0], [0, 0, 0, 0, 9, 9, 9, 0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 9, 0, 0], [0, 0, 9, 9, 0, 0, 0, 0, 0, 9, 9, 9, 0, 0, 9, 9, 9, 9, 0, 9], [9, 0, 9, 0, 9, 0, 0, 9, 9, 0, 0, 0, 9, 0, 0, 9, 9, 0, 9, 9], [9, 9, 0, 9, 9, 0, 9, 9, 9, 0, 0, 9, 0, 0, 9, 0, 0, 9, 9, 0], [0, 9, 9, 9, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 0, 0, 9, 9, 0, 9], [0, 0, 0, 0, 0, 0, 0, 9, 0, 9, 9, 9, 9, 9, 9, 9, 0, 9, 0, 0], [0, 0, 0, 9, 9, 9, 0, 9, 9, 0, 9, 0, 9, 9, 0, 0, 9, 0, 9, 0], [0, 0, 0, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 0, 0, 0, 0, 6, 6, 0], [0, 0, 6, 0, 0, 0, 0, 0, 6, 0, 0, 6, 0, 0, 6, 6, 0, 0, 6, 0], [0, 0, 0, 0, 0, 6, 6, 6, 0, 6, 0, 0, 6, 6, 0, 6, 6, 6, 0, 0], [0, 6, 0, 6, 6, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 6, 0], [0, 6, 6, 6, 0, 6, 6, 6, 6, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6], [0, 6, 0, 0, 6, 6, 6, 0, 0, 6, 0, 6, 0, 0, 0, 6, 0, 0, 0, 6], [6, 6, 6, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6], [6, 6, 6, 0, 0, 6, 6, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 6, 0, 0], [0, 0, 0, 6, 6, 0, 0, 6, 0, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6], [0, 6, 0, 6, 0, 6, 6, 0, 6, 0, 0, 0, 0, 6, 0, 6, 6, 6, 0, 6], [0, 6, 0, 6, 6, 0, 0, 6, 6, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0], [6, 0, 0, 0, 6, 0, 6, 0, 0, 0, 6, 0, 0, 6, 6, 0, 6, 6, 0, 6], [6, 6, 0, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 0, 0], [0, 6, 0, 0, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 0, 0, 0, 6, 0, 6], [0, 0, 0, 6, 0, 0, 6, 0, 0, 6, 6, 0, 6, 0, 0, 6, 6, 6, 6, 0], [0, 6, 0, 0, 0, 6, 6, 6, 6, 6, 0, 0, 6, 0, 6, 6, 0, 6, 0, 0], [6, 0, 0, 6, 6, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 0, 6, 6], [0, 0, 0, 6, 6, 6, 0, 6, 0, 0, 0, 6, 0, 6, 0, 0, 6, 6, 6, 6], [6, 6, 0, 6, 6, 6, 6, 0, 6, 0, 0, 6, 6, 0, 6, 6, 0, 0, 0, 6], [0, 0, 6, 0, 0, 6, 0, 0, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6]] -> ",
+                "test": {
+                    "input": [
+                        [
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+                        [
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+            "Replicate 1": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 5, 0, 0, 5, 0, 5, 0, 5, 5, 0, 0, 5, 0, 5, 0, 5, 5, 5, 5], [5, 5, 0, 0, 0, 5, 0, 5, 5, 5, 0, 5, 5, 0, 5, 5, 5, 5, 5, 0], [0, 0, 0, 5, 0, 5, 5, 5, 0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 5, 0], [5, 5, 5, 5, 5, 0, 5, 5, 5, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 5], [0, 5, 0, 0, 5, 5, 0, 5, 5, 5, 0, 0, 5, 0, 5, 0, 5, 0, 5, 5], [0, 0, 5, 5, 0, 0, 0, 0, 5, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 5], [5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 0, 5, 5, 5, 5, 0, 5, 0, 5, 5], [0, 0, 5, 5, 5, 0, 5, 5, 5, 0, 0, 0, 0, 0, 5, 5, 0, 5, 0, 0], [0, 5, 5, 5, 5, 5, 0, 5, 0, 0, 0, 0, 5, 5, 0, 5, 5, 0, 5, 5], [0, 0, 5, 5, 0, 5, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 5, 5, 5, 0], [0, 0, 5, 5, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 5, 0, 0, 5, 0, 5], [5, 5, 5, 5, 0, 5, 5, 0, 0, 5, 0, 5, 5, 5, 5, 0, 0, 5, 0, 5], [5, 5, 0, 5, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 0, 0, 5, 5, 0], [5, 5, 5, 5, 5, 0, 5, 0, 5, 5, 5, 0, 0, 0, 0, 5, 5, 5, 5, 0], [5, 0, 0, 0, 5, 5, 5, 5, 0, 5, 0, 5, 0, 5, 5, 0, 0, 0, 0, 5], [0, 0, 5, 0, 0, 5, 0, 0, 0, 5, 5, 5, 0, 0, 5, 0, 5, 0, 0, 0], [0, 0, 5, 5, 0, 5, 5, 5, 5, 0, 0, 5, 5, 5, 5, 5, 0, 5, 0, 5], [5, 0, 0, 5, 5, 0, 5, 5, 0, 5, 0, 5, 0, 0, 0, 0, 5, 0, 5, 5], [0, 5, 5, 0, 5, 0, 0, 0, 0, 0, 5, 0, 5, 0, 5, 0, 0, 0, 5, 0], [5, 5, 0, 0, 5, 0, 0, 5, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0], [9, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 0, 0, 0, 9], [0, 0, 9, 9, 0, 0, 9, 0, 0, 0, 9, 9, 9, 9, 9, 0, 9, 9, 0, 0], [9, 9, 0, 9, 9, 9, 9, 0, 9, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 9], [0, 0, 0, 9, 9, 0, 0, 9, 9, 0, 9, 9, 9, 0, 9, 9, 9, 0, 9, 9], [0, 9, 9, 9, 9, 9, 9, 0, 0, 9, 0, 9, 0, 0, 9, 0, 9, 9, 9, 0], [9, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 9, 9, 0, 9], [9, 0, 0, 0, 0, 0, 9, 0, 0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9], [0, 0, 9, 0, 0, 9, 0, 9, 9, 9, 0, 9, 9, 9, 0, 9, 0, 9, 9, 9], [0, 0, 0, 9, 9, 9, 0, 9, 9, 9, 9, 0, 0, 9, 9, 9, 9, 0, 0, 0], [9, 0, 0, 0, 9, 9, 0, 0, 9, 9, 9, 0, 0, 0, 0, 9, 0, 0, 0, 9], [9, 0, 0, 9, 9, 9, 0, 9, 9, 9, 9, 9, 0, 0, 9, 0, 9, 0, 0, 0], [9, 9, 0, 9, 9, 0, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0, 0, 0, 9, 0], [9, 9, 9, 9, 9, 0, 9, 9, 9, 0, 0, 0, 0, 0, 9, 9, 9, 9, 9, 9], [9, 9, 9, 0, 0, 0, 9, 9, 9, 0, 0, 9, 9, 0, 9, 0, 0, 9, 0, 9], [0, 9, 9, 0, 9, 9, 9, 0, 0, 9, 9, 0, 9, 9, 9, 9, 0, 9, 9, 9], [9, 0, 9, 0, 9, 9, 9, 0, 9, 0, 9, 9, 0, 0, 9, 9, 0, 9, 9, 0], [0, 9, 0, 9, 0, 0, 9, 9, 9, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 0], [0, 9, 9, 9, 9, 9, 9, 0, 0, 9, 9, 9, 0, 9, 9, 0, 9, 9, 0, 0], [0, 9, 0, 9, 9, 9, 0, 0, 9, 9, 0, 9, 9, 0, 9, 0, 0, 9, 0, 9], [9, 9, 9, 0, 9, 0, 0, 9, 9, 0, 0, 9, 0, 0, 0, 0, 0, 9, 9, 0], [6, 0, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 0, 6, 6], [0, 0, 6, 0, 0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 0], [0, 0, 6, 0, 0, 6, 0, 6, 0, 0, 0, 6, 6, 0, 6, 0, 6, 6, 6, 0], [6, 0, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0], [6, 6, 0, 6, 6, 0, 6, 0, 6, 6, 0, 0, 0, 0, 6, 0, 6, 6, 0, 0], [0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 6, 6, 0, 0, 0, 6, 0, 0, 0, 0], [0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6], [6, 6, 0, 6, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 6, 0, 6, 0], [6, 6, 6, 0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 6], [6, 0, 0, 6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 6, 0, 0, 6, 6], [0, 0, 6, 6, 6, 6, 6, 0, 0, 0, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6], [0, 0, 6, 6, 6, 6, 0, 6, 0, 0, 6, 6, 6, 6, 6, 0, 0, 6, 6, 6], [6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 0, 6, 0, 6, 6], [0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 6, 0], [0, 6, 0, 6, 6, 0, 0, 0, 6, 6, 6, 0, 6, 6, 6, 6, 0, 6, 0, 0], [6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 6, 0, 6, 0, 0, 6, 0, 0, 0, 6], [0, 0, 0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 6, 0, 0], [0, 0, 6, 0, 0, 0, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 0, 6, 6, 0], [0, 0, 6, 0, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 0, 6, 0, 6], [6, 0, 0, 0, 6, 0, 0, 6, 6, 0, 6, 6, 6, 6, 0, 6, 6, 0, 6, 6]] -> [[7, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 0, 7, 7, 7, 0, 7, 0, 7, 7], [0, 0, 7, 0, 0, 7, 7, 0, 0, 7, 7, 0, 7, 0, 7, 7, 0, 0, 7, 0], [0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 7, 7, 0, 7, 0, 7, 7, 7, 0], [7, 0, 7, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0], [0, 7, 0, 7, 7, 0, 7, 0, 7, 7, 0, 0, 0, 0, 7, 0, 7, 7, 0, 0], [0, 0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0], [0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 7, 0, 7, 7, 7, 7, 7, 7], [0, 0, 0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 0, 0, 7, 0, 0, 0, 7, 0], [0, 7, 7, 0, 0, 7, 0, 7, 7, 0, 7, 0, 7, 7, 7, 7, 0, 0, 7, 7], [7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 7, 7], [0, 0, 7, 7, 7, 7, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0, 7], [0, 0, 7, 7, 7, 7, 0, 7, 0, 0, 7, 7, 7, 7, 7, 0, 0, 7, 7, 7], [7, 7, 7, 7, 0, 0, 7, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7], [0, 7, 7, 7, 7, 0, 7, 0, 7, 7, 0, 7, 7, 0, 0, 7, 7, 0, 7, 0], [0, 7, 0, 0, 7, 0, 0, 0, 0, 7, 7, 0, 7, 7, 7, 7, 0, 7, 0, 0], [7, 0, 7, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 0], [0, 0, 7, 0, 0, 0, 7, 0, 0, 7, 7, 7, 0, 0, 7, 0, 0, 7, 7, 0], [0, 0, 7, 0, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 0, 7, 0, 7], [7, 0, 0, 0, 7, 0, 0, 7, 7, 0, 7, 7, 7, 7, 0, 7, 7, 0, 7, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [9, 0, 0, 9, 9, 9, 9, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9], [0, 9, 0, 9, 9, 9, 9, 0, 9, 0, 9, 9, 9, 9, 0, 9, 0, 0, 0, 9], [9, 9, 0, 0, 9, 0, 0, 9, 0, 9, 9, 0, 9, 0, 0, 9, 0, 0, 9, 0], [0, 9, 0, 9, 0, 0, 9, 0, 9, 0, 9, 9, 9, 9, 0, 9, 0, 9, 0, 0], [9, 0, 9, 9, 9, 9, 0, 0, 9, 9, 9, 9, 0, 0, 0, 0, 0, 0, 9, 0], [9, 9, 9, 9, 0, 0, 0, 9, 0, 9, 9, 9, 9, 9, 9, 0, 0, 9, 0, 9], [9, 9, 0, 9, 0, 9, 0, 9, 0, 0, 9, 0, 9, 9, 0, 9, 0, 9, 9, 9], [0, 9, 0, 0, 0, 9, 9, 9, 0, 0, 9, 0, 9, 0, 0, 0, 0, 0, 0, 0], [0, 9, 0, 9, 9, 0, 9, 9, 9, 9, 0, 9, 9, 9, 9, 9, 0, 9, 9, 9], [9, 9, 0, 0, 0, 9, 0, 0, 0, 9, 9, 0, 0, 9, 0, 0, 0, 0, 9, 9], [9, 9, 0, 0, 9, 0, 0, 9, 9, 0, 0, 0, 9, 9, 0, 0, 9, 9, 0, 0], [9, 0, 9, 9, 0, 0, 9, 9, 0, 0, 9, 0, 0, 9, 0, 9, 9, 0, 9, 9], [9, 9, 0, 9, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 0, 9, 0, 9, 0, 0], [9, 0, 9, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0, 9, 0, 0, 9, 0, 9, 0], [9, 0, 9, 0, 9, 0, 0, 0, 9, 0, 9, 9, 0, 9, 9, 0, 0, 9, 9, 0], [0, 9, 9, 9, 9, 0, 0, 0, 9, 0, 0, 9, 0, 0, 0, 0, 0, 0, 9, 9], [9, 9, 9, 9, 0, 9, 9, 9, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0], [0, 9, 9, 9, 9, 9, 0, 0, 0, 9, 9, 0, 9, 0, 9, 9, 0, 9, 9, 9], [0, 0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 9, 0, 9, 9, 0, 9], [9, 9, 0, 0, 0, 9, 9, 9, 9, 0, 0, 9, 0, 0, 9, 0, 0, 9, 9, 0], [0, 6, 6, 6, 0, 6, 0, 6, 6, 0, 0, 0, 0, 6, 0, 6, 0, 0, 6, 6], [0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0], [6, 0, 6, 0, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 6, 0, 6, 6, 0, 6], [0, 6, 6, 0, 0, 0, 6, 6, 0, 6, 0, 6, 0, 0, 0, 6, 6, 0, 0, 0], [6, 6, 6, 0, 6, 6, 6, 0, 0, 0, 0, 6, 0, 6, 0, 6, 6, 6, 0, 6], [0, 0, 0, 0, 0, 6, 6, 0, 6, 0, 0, 6, 6, 0, 6, 6, 6, 6, 0, 0], [6, 6, 0, 0, 6, 0, 0, 6, 0, 6, 0, 0, 6, 0, 6, 0, 0, 6, 0, 6], [6, 6, 6, 0, 6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 6, 6, 0, 6, 0, 0], [0, 6, 6, 0, 0, 6, 0, 0, 0, 6, 6, 6, 6, 6, 0, 0, 6, 0, 6, 0], [6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 6, 0, 6, 0, 6, 0, 6, 0, 6], [0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 6, 0, 0, 0], [6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 6, 6, 0, 0, 6, 6, 0, 6, 0, 0], [0, 0, 0, 6, 0, 0, 6, 0, 6, 0, 6, 6, 6, 0, 0, 6, 0, 0, 0, 6], [6, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 0, 0, 6, 0, 0], [6, 0, 6, 0, 6, 6, 6, 0, 0, 6, 0, 0, 6, 6, 0, 6, 0, 6, 0, 0], [0, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 6], [6, 6, 6, 6, 6, 6, 6, 0, 0, 6, 0, 0, 0, 0, 6, 6, 6, 0, 6, 0], [6, 6, 0, 0, 0, 6, 6, 6, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6], [0, 6, 0, 6, 6, 6, 0, 6, 0, 0, 6, 6, 6, 6, 6, 0, 6, 0, 6, 6], [0, 0, 6, 0, 0, 6, 0, 6, 6, 6, 0, 0, 6, 0, 0, 6, 6, 6, 6, 0]] -> [[0, 0, 0, 7, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7], [0, 7, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0], [7, 0, 7, 0, 7, 7, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 0, 7, 0, 0], [7, 7, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 7], [0, 7, 0, 0, 0, 7, 7, 7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 0, 0, 7, 0], [7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 7], [0, 0, 0, 0, 7, 0, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0], [7, 0, 0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0], [0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0], [7, 0, 7, 0, 7, 0, 7, 7, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0], [7, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0, 0], [0, 0, 7, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7], [7, 7, 7, 7, 0, 7, 7, 0, 0, 7, 0, 0, 0, 0, 7, 7, 0, 0, 7, 0], [0, 7, 0, 0, 0, 7, 0, 0, 0, 7, 7, 0, 7, 0, 0, 0, 0, 7, 7, 7], [0, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 7], [0, 0, 0, 0, 0, 7, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0]]\nExample input-output arrays:\n[[5, 0, 5, 0, 5, 0, 0, 5, 0, 5, 5, 0, 0, 0, 0, 0, 0, 5, 5, 0], [5, 0, 0, 0, 0, 5, 0, 0, 0, 5, 5, 5, 5, 5, 0, 0, 5, 0, 5, 5], [5, 5, 5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 0, 5, 0, 0, 0], [0, 5, 0, 0, 5, 0, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 0, 0, 5, 5], [5, 5, 5, 5, 0, 0, 5, 5, 0, 0, 5, 0, 5, 5, 0, 5, 5, 0, 0, 5], [5, 0, 5, 5, 5, 0, 5, 5, 5, 5, 0, 5, 5, 0, 0, 0, 5, 5, 0, 5], [5, 0, 0, 5, 0, 0, 0, 0, 5, 0, 5, 5, 0, 0, 5, 5, 0, 5, 0, 5], [5, 5, 0, 0, 0, 5, 0, 5, 0, 5, 0, 5, 5, 5, 0, 0, 0, 0, 0, 0], [0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 5, 5, 5, 5, 5, 5, 0, 5, 5, 5], [0, 0, 0, 0, 0, 5, 0, 0, 5, 0, 5, 0, 5, 0, 5, 0, 0, 0, 5, 0], [5, 5, 0, 0, 0, 0, 0, 5, 0, 0, 5, 0, 0, 0, 5, 5, 5, 0, 0, 5], [5, 0, 5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 5, 5, 0, 5, 0, 5, 5], [5, 0, 5, 5, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 5, 0, 5, 0, 5, 5], [5, 5, 5, 0, 5, 5, 0, 5, 5, 5, 0, 5, 0, 0, 5, 0, 0, 0, 5, 0], [5, 5, 0, 0, 5, 0, 5, 5, 5, 5, 5, 0, 0, 0, 5, 0, 0, 5, 0, 5], [5, 0, 0, 5, 5, 0, 0, 5, 0, 5, 0, 0, 5, 0, 0, 5, 5, 0, 0, 5], [5, 0, 5, 0, 0, 0, 0, 0, 0, 5, 5, 0, 5, 0, 0, 5, 0, 0, 0, 5], [5, 5, 0, 0, 5, 5, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 5, 5, 0], [5, 5, 0, 5, 0, 5, 0, 5, 0, 5, 5, 0, 5, 5, 5, 5, 5, 5, 0, 5], [5, 0, 0, 0, 0, 5, 5, 0, 0, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0, 5], [9, 0, 0, 9, 0, 0, 9, 0, 0, 0, 0, 9, 9, 0, 0, 0, 9, 9, 0, 9], [0, 0, 0, 9, 9, 0, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 9], [0, 0, 0, 0, 9, 0, 9, 9, 0, 9, 9, 0, 0, 0, 9, 0, 0, 9, 9, 9], [9, 0, 0, 9, 0, 0, 9, 0, 0, 0, 0, 9, 9, 0, 0, 9, 9, 9, 9, 9], [0, 9, 0, 9, 9, 0, 9, 0, 9, 9, 9, 0, 0, 0, 9, 9, 9, 0, 9, 9], [9, 9, 0, 9, 0, 0, 0, 0, 0, 9, 9, 0, 0, 9, 0, 0, 9, 9, 9, 9], [0, 0, 0, 0, 9, 9, 9, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 9, 9, 0], [0, 9, 9, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 9, 9, 0, 0, 0, 9, 0], [0, 9, 0, 9, 0, 0, 9, 0, 0, 0, 0, 0, 9, 9, 9, 0, 0, 0, 9, 0], [9, 9, 9, 9, 0, 9, 0, 9, 0, 0, 9, 0, 9, 0, 0, 9, 9, 0, 0, 0], [9, 0, 9, 0, 0, 0, 0, 9, 0, 0, 9, 9, 0, 9, 9, 9, 9, 9, 9, 0], [0, 0, 0, 0, 9, 9, 0, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 0, 9], [0, 9, 9, 0, 0, 0, 9, 9, 0, 9, 9, 9, 0, 0, 0, 0, 9, 9, 9, 0], [9, 9, 9, 0, 0, 9, 9, 9, 0, 0, 0, 9, 9, 9, 9, 0, 0, 9, 9, 9], [9, 9, 9, 0, 0, 0, 0, 9, 9, 9, 9, 0, 0, 9, 0, 9, 9, 9, 9, 0], [0, 9, 0, 0, 0, 9, 9, 0, 9, 0, 0, 0, 0, 0, 0, 9, 9, 0, 0, 9], [9, 0, 9, 9, 0, 0, 9, 0, 9, 9, 0, 0, 9, 0, 0, 0, 9, 9, 0, 0], [0, 9, 0, 0, 9, 9, 9, 9, 0, 0, 9, 9, 9, 0, 0, 9, 0, 0, 9, 9], [0, 0, 0, 9, 0, 9, 9, 9, 0, 0, 9, 9, 0, 9, 9, 0, 9, 9, 9, 9], [9, 0, 9, 9, 9, 9, 0, 9, 0, 0, 0, 9, 9, 9, 0, 0, 9, 0, 0, 9], [0, 6, 6, 6, 6, 6, 6, 0, 6, 0, 6, 6, 6, 0, 0, 6, 6, 0, 0, 0], [6, 6, 0, 6, 0, 6, 0, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 0], [0, 6, 0, 6, 6, 6, 6, 0, 0, 0, 0, 6, 0, 0, 6, 6, 6, 6, 0, 6], [0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 0, 6, 0, 6, 6, 0, 6, 0, 6, 6], [0, 6, 6, 6, 0, 6, 6, 6, 0, 0, 6, 0, 6, 6, 0, 6, 6, 0, 0, 0], [0, 0, 0, 6, 6, 0, 6, 0, 0, 6, 6, 6, 0, 0, 0, 6, 6, 0, 6, 0], [6, 6, 6, 6, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6, 6, 6, 6, 0, 6, 6], [0, 6, 6, 6, 0, 6, 6, 6, 0, 0, 0, 6, 6, 6, 0, 6, 6, 0, 6, 0], [0, 0, 0, 6, 0, 0, 0, 0, 6, 6, 0, 6, 0, 6, 6, 0, 6, 0, 6, 0], [0, 0, 0, 6, 6, 0, 6, 0, 0, 6, 0, 0, 6, 6, 0, 0, 6, 6, 6, 0], [6, 0, 0, 6, 6, 6, 6, 0, 0, 6, 6, 6, 0, 6, 6, 0, 6, 0, 0, 0], [6, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6, 0, 0, 0, 6, 0, 6, 0, 0, 0], [0, 6, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 6, 6, 0, 6, 0, 6, 6, 0], [6, 0, 6, 0, 6, 0, 0, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 6], [6, 0, 0, 0, 0, 0, 0, 6, 0, 0, 6, 6, 6, 6, 6, 0, 6, 6, 6, 6], [6, 0, 0, 0, 0, 6, 6, 0, 0, 6, 0, 0, 6, 0, 6, 6, 6, 0, 6, 0], [6, 6, 0, 0, 6, 0, 0, 6, 0, 6, 0, 0, 0, 6, 0, 0, 0, 6, 0, 6], [0, 6, 6, 6, 0, 6, 0, 6, 6, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 6], [0, 0, 0, 6, 0, 6, 0, 0, 6, 6, 0, 0, 6, 0, 6, 6, 0, 0, 0, 0], [6, 0, 0, 6, 6, 0, 6, 6, 0, 6, 0, 0, 0, 0, 6, 0, 6, 6, 6, 0]] -> [[0, 0, 7, 7, 7, 0, 7, 0, 0, 0, 7, 7, 7, 0, 0, 0, 7, 0, 0, 0], [7, 0, 0, 7, 0, 7, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 0], [0, 7, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 7, 0, 7], [0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 7, 0, 7, 0, 7, 7], [0, 7, 7, 7, 0, 0, 7, 7, 0, 0, 7, 0, 7, 7, 0, 7, 7, 0, 0, 0], [0, 0, 0, 7, 7, 0, 7, 0, 0, 7, 7, 7, 0, 0, 0, 0, 7, 0, 7, 0], [7, 0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 7, 7, 0, 0, 7, 7], [0, 7, 7, 0, 0, 7, 0, 7, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 7, 0], [0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0], [0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0], [7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 7, 0, 7, 0, 0, 0], [7, 0, 0, 0, 0, 7, 7, 0, 7, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0], [0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0], [7, 0, 7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 0, 7, 7, 0, 0, 7, 7, 7], [7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 7, 7, 0, 7, 7, 7, 7], [7, 0, 0, 0, 0, 7, 7, 0, 0, 7, 0, 0, 7, 0, 0, 7, 7, 0, 0, 0], [7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7], [0, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7], [0, 0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7, 0, 7, 7, 0, 0, 0, 0], [7, 0, 0, 7, 7, 0, 7, 7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 5, 0, 5, 5, 0, 0, 5, 0, 5, 0, 5, 5, 5, 0, 5, 0, 5, 5], [0, 5, 5, 5, 0, 5, 5, 5, 0, 0, 5, 5, 0, 5, 0, 5, 5, 5, 5, 0], [5, 5, 5, 0, 0, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5], [0, 5, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 5, 0, 5, 5, 5, 5, 5], [0, 5, 0, 0, 0, 5, 5, 5, 5, 0, 0, 5, 5, 0, 0, 5, 0, 0, 0, 0], [5, 0, 5, 5, 0, 5, 5, 5, 5, 5, 0, 5, 5, 5, 5, 0, 5, 5, 0, 0], [0, 5, 0, 0, 0, 5, 5, 0, 5, 5, 0, 0, 0, 0, 5, 5, 0, 5, 5, 0], [5, 0, 0, 0, 0, 0, 0, 5, 0, 0, 5, 5, 5, 5, 5, 0, 0, 5, 0, 5], [0, 0, 5, 5, 5, 0, 5, 0, 0, 0, 0, 5, 0, 0, 5, 5, 5, 5, 0, 5], [5, 0, 5, 5, 0, 5, 5, 0, 0, 0, 0, 5, 5, 5, 5, 5, 5, 5, 5, 0], [5, 0, 0, 5, 5, 5, 0, 0, 5, 0, 0, 0, 5, 5, 0, 5, 0, 5, 0, 5], [5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 0, 5, 0, 0, 5, 5, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 5, 5, 0, 5, 0, 0, 0, 5, 5, 0, 0, 5, 5, 0], [5, 0, 5, 5, 5, 0, 0, 0, 5, 5, 0, 0, 5, 5, 0, 5, 5, 0, 5, 0], [0, 0, 5, 5, 5, 0, 5, 5, 5, 5, 0, 5, 5, 5, 5, 0, 5, 0, 0, 5], [0, 5, 5, 5, 5, 5, 0, 0, 5, 0, 5, 5, 0, 5, 5, 5, 5, 0, 5, 0], [5, 0, 0, 5, 0, 5, 5, 0, 0, 0, 0, 5, 5, 5, 5, 0, 5, 0, 5, 0], [5, 0, 0, 0, 0, 0, 5, 5, 5, 0, 5, 0, 5, 5, 0, 0, 0, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 5, 0, 0, 0, 0, 5, 5, 5, 0, 5], [5, 0, 5, 0, 5, 5, 5, 0, 5, 5, 5, 0, 5, 5, 0, 0, 0, 0, 0, 5], [0, 9, 0, 0, 0, 0, 0, 9, 9, 9, 0, 9, 9, 9, 0, 0, 9, 9, 0, 9], [0, 0, 0, 0, 0, 9, 9, 9, 0, 0, 0, 9, 0, 9, 0, 0, 0, 0, 0, 0], [0, 0, 0, 9, 0, 0, 0, 9, 9, 9, 9, 9, 0, 0, 9, 0, 9, 9, 0, 9], [9, 9, 0, 9, 9, 0, 0, 0, 0, 9, 0, 0, 9, 0, 9, 0, 0, 0, 9, 0], [0, 0, 9, 0, 0, 9, 0, 9, 9, 0, 0, 0, 9, 0, 9, 0, 9, 9, 9, 0], [9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 9, 0, 0, 9, 9, 9, 9], [9, 0, 9, 9, 9, 9, 9, 9, 9, 9, 0, 9, 9, 0, 9, 9, 0, 0, 9, 0], [9, 0, 9, 0, 0, 0, 9, 0, 0, 0, 9, 0, 9, 0, 0, 9, 0, 9, 0, 9], [0, 0, 9, 0, 9, 0, 0, 9, 9, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 9], [9, 0, 0, 9, 0, 0, 0, 0, 0, 9, 0, 0, 9, 9, 9, 0, 0, 0, 9, 0], [9, 9, 9, 9, 9, 0, 0, 0, 0, 0, 0, 9, 9, 9, 9, 0, 0, 0, 9, 0], [9, 9, 0, 0, 9, 9, 0, 9, 0, 9, 9, 0, 0, 0, 9, 0, 0, 0, 0, 9], [0, 9, 9, 0, 0, 9, 9, 0, 0, 9, 9, 0, 9, 9, 9, 0, 9, 9, 9, 0], [0, 0, 9, 9, 9, 0, 0, 0, 9, 9, 0, 0, 9, 9, 0, 9, 0, 9, 9, 9], [9, 9, 9, 0, 9, 9, 0, 9, 0, 9, 9, 0, 9, 9, 9, 9, 0, 0, 9, 9], [9, 0, 9, 9, 9, 9, 0, 9, 9, 9, 0, 0, 9, 0, 0, 9, 0, 9, 0, 9], [9, 9, 9, 9, 0, 0, 0, 0, 9, 9, 0, 9, 9, 0, 0, 0, 0, 9, 0, 0], [0, 9, 9, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 9, 9], [0, 0, 0, 9, 9, 0, 0, 0, 0, 9, 0, 9, 0, 0, 0, 9, 0, 0, 9, 0], [0, 9, 9, 0, 9, 9, 9, 9, 9, 0, 9, 0, 9, 9, 0, 0, 0, 0, 0, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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+            "Replicate 2": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[0, 5, 0, 0, 5, 0, 5, 0, 5, 5, 0, 0, 5, 0, 5, 0, 5, 5, 5, 5], [5, 5, 0, 0, 0, 5, 0, 5, 5, 5, 0, 5, 5, 0, 5, 5, 5, 5, 5, 0], [0, 0, 0, 5, 0, 5, 5, 5, 0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 5, 0], [5, 5, 5, 5, 5, 0, 5, 5, 5, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 5], [0, 5, 0, 0, 5, 5, 0, 5, 5, 5, 0, 0, 5, 0, 5, 0, 5, 0, 5, 5], [0, 0, 5, 5, 0, 0, 0, 0, 5, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 5], [5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 0, 5, 5, 5, 5, 0, 5, 0, 5, 5], [0, 0, 5, 5, 5, 0, 5, 5, 5, 0, 0, 0, 0, 0, 5, 5, 0, 5, 0, 0], [0, 5, 5, 5, 5, 5, 0, 5, 0, 0, 0, 0, 5, 5, 0, 5, 5, 0, 5, 5], [0, 0, 5, 5, 0, 5, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 5, 5, 5, 0], [0, 0, 5, 5, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 5, 0, 0, 5, 0, 5], [5, 5, 5, 5, 0, 5, 5, 0, 0, 5, 0, 5, 5, 5, 5, 0, 0, 5, 0, 5], [5, 5, 0, 5, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 0, 0, 5, 5, 0], [5, 5, 5, 5, 5, 0, 5, 0, 5, 5, 5, 0, 0, 0, 0, 5, 5, 5, 5, 0], [5, 0, 0, 0, 5, 5, 5, 5, 0, 5, 0, 5, 0, 5, 5, 0, 0, 0, 0, 5], [0, 0, 5, 0, 0, 5, 0, 0, 0, 5, 5, 5, 0, 0, 5, 0, 5, 0, 0, 0], [0, 0, 5, 5, 0, 5, 5, 5, 5, 0, 0, 5, 5, 5, 5, 5, 0, 5, 0, 5], [5, 0, 0, 5, 5, 0, 5, 5, 0, 5, 0, 5, 0, 0, 0, 0, 5, 0, 5, 5], [0, 5, 5, 0, 5, 0, 0, 0, 0, 0, 5, 0, 5, 0, 5, 0, 0, 0, 5, 0], [5, 5, 0, 0, 5, 0, 0, 5, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0], [9, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 0, 0, 0, 9], [0, 0, 9, 9, 0, 0, 9, 0, 0, 0, 9, 9, 9, 9, 9, 0, 9, 9, 0, 0], [9, 9, 0, 9, 9, 9, 9, 0, 9, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 9], [0, 0, 0, 9, 9, 0, 0, 9, 9, 0, 9, 9, 9, 0, 9, 9, 9, 0, 9, 9], [0, 9, 9, 9, 9, 9, 9, 0, 0, 9, 0, 9, 0, 0, 9, 0, 9, 9, 9, 0], [9, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 9, 9, 0, 9], [9, 0, 0, 0, 0, 0, 9, 0, 0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9], [0, 0, 9, 0, 0, 9, 0, 9, 9, 9, 0, 9, 9, 9, 0, 9, 0, 9, 9, 9], [0, 0, 0, 9, 9, 9, 0, 9, 9, 9, 9, 0, 0, 9, 9, 9, 9, 0, 0, 0], [9, 0, 0, 0, 9, 9, 0, 0, 9, 9, 9, 0, 0, 0, 0, 9, 0, 0, 0, 9], [9, 0, 0, 9, 9, 9, 0, 9, 9, 9, 9, 9, 0, 0, 9, 0, 9, 0, 0, 0], [9, 9, 0, 9, 9, 0, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0, 0, 0, 9, 0], [9, 9, 9, 9, 9, 0, 9, 9, 9, 0, 0, 0, 0, 0, 9, 9, 9, 9, 9, 9], [9, 9, 9, 0, 0, 0, 9, 9, 9, 0, 0, 9, 9, 0, 9, 0, 0, 9, 0, 9], [0, 9, 9, 0, 9, 9, 9, 0, 0, 9, 9, 0, 9, 9, 9, 9, 0, 9, 9, 9], [9, 0, 9, 0, 9, 9, 9, 0, 9, 0, 9, 9, 0, 0, 9, 9, 0, 9, 9, 0], [0, 9, 0, 9, 0, 0, 9, 9, 9, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 0], [0, 9, 9, 9, 9, 9, 9, 0, 0, 9, 9, 9, 0, 9, 9, 0, 9, 9, 0, 0], [0, 9, 0, 9, 9, 9, 0, 0, 9, 9, 0, 9, 9, 0, 9, 0, 0, 9, 0, 9], [9, 9, 9, 0, 9, 0, 0, 9, 9, 0, 0, 9, 0, 0, 0, 0, 0, 9, 9, 0], [6, 0, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 0, 6, 6], [0, 0, 6, 0, 0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 0], [0, 0, 6, 0, 0, 6, 0, 6, 0, 0, 0, 6, 6, 0, 6, 0, 6, 6, 6, 0], [6, 0, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0], [6, 6, 0, 6, 6, 0, 6, 0, 6, 6, 0, 0, 0, 0, 6, 0, 6, 6, 0, 0], [0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 6, 6, 0, 0, 0, 6, 0, 0, 0, 0], [0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6], [6, 6, 0, 6, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 6, 0, 6, 0], [6, 6, 6, 0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 6], [6, 0, 0, 6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 6, 0, 0, 6, 6], [0, 0, 6, 6, 6, 6, 6, 0, 0, 0, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6], [0, 0, 6, 6, 6, 6, 0, 6, 0, 0, 6, 6, 6, 6, 6, 0, 0, 6, 6, 6], [6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 0, 6, 0, 6, 6], [0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 6, 0], [0, 6, 0, 6, 6, 0, 0, 0, 6, 6, 6, 0, 6, 6, 6, 6, 0, 6, 0, 0], [6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 6, 0, 6, 0, 0, 6, 0, 0, 0, 6], [0, 0, 0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 6, 0, 0], [0, 0, 6, 0, 0, 0, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 0, 6, 6, 0], [0, 0, 6, 0, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 0, 6, 0, 6], [6, 0, 0, 0, 6, 0, 0, 6, 6, 0, 6, 6, 6, 6, 0, 6, 6, 0, 6, 6]] -> [[7, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 0, 7, 7, 7, 0, 7, 0, 7, 7], [0, 0, 7, 0, 0, 7, 7, 0, 0, 7, 7, 0, 7, 0, 7, 7, 0, 0, 7, 0], [0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 7, 7, 0, 7, 0, 7, 7, 7, 0], [7, 0, 7, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0], [0, 7, 0, 7, 7, 0, 7, 0, 7, 7, 0, 0, 0, 0, 7, 0, 7, 7, 0, 0], [0, 0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0], [0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 7, 0, 7, 7, 7, 7, 7, 7], [0, 0, 0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 0, 0, 7, 0, 0, 0, 7, 0], [0, 7, 7, 0, 0, 7, 0, 7, 7, 0, 7, 0, 7, 7, 7, 7, 0, 0, 7, 7], [7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 7, 7], [0, 0, 7, 7, 7, 7, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0, 7], [0, 0, 7, 7, 7, 7, 0, 7, 0, 0, 7, 7, 7, 7, 7, 0, 0, 7, 7, 7], [7, 7, 7, 7, 0, 0, 7, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7], [0, 7, 7, 7, 7, 0, 7, 0, 7, 7, 0, 7, 7, 0, 0, 7, 7, 0, 7, 0], [0, 7, 0, 0, 7, 0, 0, 0, 0, 7, 7, 0, 7, 7, 7, 7, 0, 7, 0, 0], [7, 0, 7, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 0], [0, 0, 7, 0, 0, 0, 7, 0, 0, 7, 7, 7, 0, 0, 7, 0, 0, 7, 7, 0], [0, 0, 7, 0, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 0, 7, 0, 7], [7, 0, 0, 0, 7, 0, 0, 7, 7, 0, 7, 7, 7, 7, 0, 7, 7, 0, 7, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [0, 0, 0, 0, 9, 9, 9, 0, 0, 9, 0, 0, 0, 0, 0, 9, 9, 0, 9, 9], [9, 0, 0, 0, 9, 0, 0, 9, 0, 9, 0, 9, 9, 9, 9, 0, 9, 9, 0, 9], [0, 9, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 9, 0, 0, 0, 0, 9, 9, 0], [0, 9, 0, 9, 9, 0, 9, 9, 0, 9, 0, 0, 0, 0, 9, 9, 0, 0, 0, 0], [0, 9, 9, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 9, 9, 9, 0, 9, 9], [9, 0, 9, 9, 0, 9, 0, 0, 9, 0, 9, 9, 9, 9, 0, 0, 0, 0, 9, 0], [9, 9, 9, 0, 9, 9, 0, 9, 9, 9, 0, 9, 9, 9, 0, 0, 9, 9, 9, 9], [0, 9, 0, 0, 0, 0, 9, 9, 0, 0, 9, 9, 9, 9, 0, 9, 9, 0, 0, 9], [0, 9, 9, 9, 0, 9, 0, 0, 9, 0, 9, 0, 9, 9, 0, 9, 0, 0, 0, 0], [0, 9, 9, 9, 0, 0, 0, 9, 9, 0, 0, 0, 9, 9, 0, 0, 9, 0, 0, 0], [9, 0, 0, 9, 9, 0, 9, 9, 9, 0, 9, 0, 0, 9, 9, 0, 0, 0, 0, 9], [0, 9, 0, 0, 0, 0, 0, 9, 9, 0, 9, 9, 0, 0, 9, 0, 0, 9, 0, 9], [9, 0, 0, 0, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 0, 9, 9, 0, 9, 9], [9, 0, 0, 9, 0, 9, 9, 0, 0, 0, 9, 0, 0, 0, 0, 9, 9, 0, 0, 0], [9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 0, 9, 0, 0, 9, 0, 9, 0, 9, 9], [9, 0, 9, 9, 0, 9, 9, 9, 9, 9, 0, 0, 0, 9, 9, 0, 0, 0, 9, 9], [9, 9, 0, 9, 0, 0, 9, 9, 0, 9, 9, 9, 0, 0, 9, 9, 0, 0, 0, 9], [0, 9, 0, 0, 0, 0, 0, 9, 0, 0, 9, 9, 9, 9, 9, 9, 0, 0, 9, 0], [9, 9, 9, 9, 9, 0, 0, 0, 9, 0, 9, 9, 9, 0, 9, 9, 0, 0, 9, 0], [9, 0, 0, 0, 9, 0, 9, 0, 0, 0, 9, 9, 9, 9, 9, 9, 9, 0, 9, 9], [6, 6, 6, 0, 0, 6, 0, 0, 0, 0, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6], [6, 0, 6, 6, 0, 0, 0, 6, 6, 0, 6, 6, 6, 6, 6, 0, 0, 6, 0, 0], [6, 6, 6, 6, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 6, 6, 0, 6, 0, 6], [6, 0, 0, 0, 6, 6, 6, 6, 0, 0, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6], [6, 0, 0, 6, 6, 6, 6, 6, 0, 0, 6, 6, 0, 0, 6, 6, 6, 6, 6, 0], [6, 0, 6, 0, 6, 0, 6, 0, 6, 6, 0, 0, 0, 6, 0, 6, 0, 6, 0, 0], [0, 6, 6, 0, 6, 6, 6, 0, 6, 6, 6, 0, 0, 6, 0, 0, 0, 0, 6, 6], [6, 0, 0, 6, 6, 6, 6, 6, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0, 6, 6], [6, 6, 0, 0, 6, 0, 0, 6, 0, 6, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6], [0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 6, 0, 6, 0, 6, 6, 6, 0, 0, 6], [6, 0, 0, 6, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 6, 0, 6], [0, 0, 6, 0, 0, 0, 0, 0, 0, 6, 0, 6, 6, 0, 0, 6, 0, 6, 0, 0], [6, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 6, 6, 6, 6], [0, 6, 6, 6, 6, 0, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0, 6, 6, 0, 6], [0, 0, 6, 0, 6, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6, 0, 0, 6, 6, 0], [0, 0, 0, 6, 6, 6, 0, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6], [0, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 6, 6, 0, 0, 6, 0, 6, 0, 0], [6, 6, 0, 0, 6, 0, 0, 6, 6, 0, 0, 0, 6, 0, 6, 0, 6, 6, 6, 0], [6, 0, 0, 0, 6, 0, 6, 0, 6, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 6], [6, 6, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 6, 0, 0, 6, 6]] -> [[7, 7, 7, 0, 0, 7, 0, 0, 0, 0, 7, 7, 7, 0, 0, 7, 0, 7, 7, 7], [7, 0, 7, 7, 0, 0, 0, 7, 7, 0, 7, 7, 7, 7, 7, 0, 0, 7, 0, 0], [7, 7, 7, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7], [7, 0, 0, 0, 7, 7, 7, 7, 0, 0, 7, 7, 0, 0, 7, 7, 7, 7, 7, 7], [7, 0, 0, 7, 7, 7, 7, 7, 0, 0, 7, 7, 0, 0, 7, 7, 7, 7, 7, 0], [7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 0, 0, 0, 7, 0, 7, 0, 7, 0, 0], [0, 7, 7, 0, 7, 7, 7, 0, 7, 7, 7, 0, 0, 7, 0, 0, 0, 0, 7, 7], [7, 0, 0, 7, 7, 7, 7, 7, 7, 0, 7, 0, 7, 0, 0, 0, 0, 0, 7, 7], [7, 7, 0, 0, 7, 0, 0, 7, 0, 7, 0, 7, 7, 0, 0, 7, 0, 7, 0, 7], [0, 0, 0, 7, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 0, 0, 7], [7, 0, 0, 7, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7], [0, 0, 7, 0, 0, 0, 0, 0, 0, 7, 0, 7, 7, 0, 0, 7, 0, 7, 0, 0], [7, 0, 0, 0, 7, 0, 0, 0, 7, 7, 0, 0, 0, 7, 7, 0, 7, 7, 7, 7], [0, 7, 7, 7, 7, 0, 0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 7, 7, 0, 7], [0, 0, 7, 0, 7, 7, 0, 7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 7, 7, 0], [0, 0, 0, 7, 7, 7, 0, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 7], [0, 7, 7, 7, 7, 7, 7, 0, 0, 0, 0, 7, 7, 0, 0, 7, 0, 7, 0, 0], [7, 7, 0, 0, 7, 0, 0, 7, 7, 0, 0, 0, 7, 0, 7, 0, 7, 7, 7, 0], [7, 0, 0, 0, 7, 0, 7, 0, 7, 0, 7, 7, 0, 7, 7, 0, 0, 7, 7, 7], [7, 7, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 0, 7, 7]]\nExample input-output arrays:\n[[0, 0, 0, 0, 5, 0, 5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 5, 5, 0, 0], [5, 5, 0, 0, 5, 5, 0, 5, 5, 5, 0, 5, 5, 0, 0, 0, 0, 0, 5, 0], [0, 5, 5, 5, 5, 0, 5, 5, 0, 5, 5, 0, 5, 5, 5, 5, 0, 0, 0, 0], [5, 0, 0, 5, 5, 0, 5, 5, 5, 5, 0, 0, 0, 0, 5, 5, 5, 5, 0, 0], [5, 5, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0, 5, 5, 0, 0, 5, 0, 0, 5], [5, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 5, 5, 5, 5, 0, 0, 0, 0], [0, 0, 5, 0, 5, 0, 0, 0, 0, 0, 5, 0, 5, 5, 0, 5, 5, 0, 5, 5], [5, 0, 0, 5, 5, 5, 5, 0, 5, 0, 0, 5, 5, 0, 5, 5, 5, 5, 0, 5], [0, 0, 0, 0, 5, 0, 5, 0, 0, 5, 0, 0, 5, 0, 5, 0, 0, 5, 5, 5], [5, 0, 0, 0, 5, 0, 0, 0, 5, 0, 5, 0, 5, 5, 0, 0, 5, 0, 5, 0], [5, 5, 5, 5, 5, 0, 0, 0, 5, 5, 0, 5, 5, 0, 0, 0, 0, 5, 5, 0], [0, 5, 5, 0, 5, 0, 0, 0, 0, 5, 0, 0, 5, 5, 0, 0, 0, 0, 5, 5], [5, 0, 5, 0, 5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 5, 5, 0, 5, 5, 0], [0, 0, 5, 5, 0, 0, 0, 5, 0, 5, 0, 5, 0, 5, 5, 0, 0, 0, 5, 5], [0, 5, 0, 0, 5, 5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 5, 0, 5], [5, 0, 5, 5, 5, 0, 0, 5, 0, 0, 0, 5, 5, 0, 0, 5, 5, 5, 0, 5], [5, 5, 0, 5, 5, 0, 5, 5, 5, 5, 5, 0, 0, 5, 0, 0, 0, 0, 5, 0], [0, 5, 0, 0, 5, 0, 5, 0, 0, 0, 5, 0, 5, 5, 5, 0, 0, 0, 5, 5], [5, 5, 5, 5, 0, 5, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 5, 0, 5, 0], [5, 5, 5, 5, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 5, 5, 0], [9, 9, 0, 0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 9, 9, 0, 9, 0, 0, 9], [0, 0, 9, 9, 9, 9, 9, 9, 0, 0, 0, 9, 0, 9, 0, 0, 9, 9, 0, 0], [9, 9, 0, 0, 9, 0, 0, 9, 0, 0, 0, 0, 0, 0, 9, 0, 0, 9, 9, 9], [9, 0, 0, 0, 9, 0, 9, 9, 0, 9, 0, 9, 9, 0, 9, 9, 9, 0, 9, 0], [9, 0, 9, 9, 0, 9, 0, 9, 9, 9, 9, 9, 0, 9, 9, 9, 0, 0, 9, 0], [0, 9, 0, 0, 0, 0, 0, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0, 9, 0, 0], [0, 9, 0, 9, 0, 9, 9, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 0, 0], [0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 9, 9, 0, 0, 0, 9, 9], [9, 0, 0, 9, 0, 0, 9, 9, 9, 0, 0, 9, 9, 0, 0, 0, 0, 9, 0, 9], [0, 0, 0, 9, 9, 0, 9, 9, 0, 9, 0, 9, 9, 0, 0, 0, 0, 0, 9, 0], [0, 0, 0, 9, 9, 9, 9, 0, 9, 0, 0, 9, 9, 9, 9, 9, 0, 0, 0, 9], [9, 9, 0, 0, 9, 9, 0, 9, 9, 0, 9, 0, 9, 9, 9, 0, 0, 0, 0, 9], [0, 9, 0, 9, 9, 0, 0, 9, 0, 9, 0, 9, 0, 0, 0, 0, 0, 0, 9, 9], [9, 9, 9, 9, 0, 0, 0, 9, 9, 0, 9, 9, 9, 0, 9, 9, 9, 0, 9, 9], [9, 9, 0, 0, 9, 9, 9, 9, 9, 0, 0, 0, 9, 9, 0, 0, 0, 0, 9, 0], [0, 9, 0, 9, 0, 9, 9, 0, 0, 9, 9, 9, 0, 9, 9, 0, 0, 9, 0, 0], [0, 0, 9, 0, 0, 9, 0, 0, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 0, 9], [9, 0, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 0, 9, 0], [9, 9, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0, 0, 0, 0, 0, 9, 0, 9, 9], [9, 9, 9, 0, 0, 0, 9, 0, 0, 9, 0, 9, 0, 0, 9, 9, 0, 9, 0, 9], [6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 0, 6, 0, 0, 6, 6, 0, 0, 0], [6, 6, 6, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 6, 0, 6, 6], [6, 6, 0, 6, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 6, 0, 0, 0, 6], [6, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 0], [6, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 6, 0], [6, 6, 6, 0, 0, 0, 6, 6, 0, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6, 6], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 6, 6, 6, 0, 0], [6, 6, 0, 0, 0, 6, 6, 0, 0, 6, 0, 6, 0, 0, 0, 0, 6, 0, 6, 6], [0, 0, 0, 0, 6, 6, 6, 6, 6, 0, 6, 0, 6, 6, 6, 0, 0, 6, 6, 0], [0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 6, 0, 6, 0, 6, 0, 6, 0], [6, 0, 0, 6, 6, 0, 0, 0, 0, 6, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0], [6, 0, 0, 0, 0, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6, 6, 0], [0, 0, 0, 6, 6, 6, 6, 6, 0, 6, 0, 0, 0, 6, 6, 0, 6, 0, 0, 0], [0, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 0, 6, 0, 6, 0, 0], [0, 0, 6, 0, 0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 6, 0, 6, 0, 6, 0, 6], [0, 0, 6, 0, 0, 6, 6, 0, 6, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 6], [6, 6, 6, 6, 6, 0, 6, 0, 0, 6, 0, 6, 6, 0, 6, 6, 0, 0, 6, 6], [6, 6, 0, 6, 0, 0, 0, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6, 0, 0, 0], [0, 6, 6, 0, 0, 0, 6, 0, 0, 6, 6, 6, 6, 0, 6, 0, 6, 6, 6, 0]] -> [[7, 7, 0, 0, 7, 7, 7, 0, 7, 7, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0], [7, 7, 7, 0, 7, 7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0], [7, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 7], [7, 0, 0, 7, 0, 0, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7, 7, 0, 7, 0], [7, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 7, 7, 7, 7, 0, 0, 7, 0], [7, 7, 0, 0, 0, 0, 0, 7, 0, 0, 7, 7, 0, 0, 7, 0, 0, 0, 0, 0], [0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 7, 7, 0, 0, 0], [7, 7, 0, 0, 0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7], [0, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 7, 7, 0], [0, 0, 0, 7, 7, 0, 7, 7, 7, 0, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0], [7, 0, 0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0, 0, 0, 0], [7, 0, 0, 0, 0, 7, 0, 0, 7, 7, 7, 0, 7, 7, 0, 0, 0, 0, 7, 0], [0, 0, 0, 7, 7, 0, 7, 7, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0], [0, 0, 7, 7, 0, 0, 0, 0, 0, 7, 7, 7, 7, 0, 0, 7, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 7, 7, 7, 0, 7, 7, 0, 0, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7], [0, 0, 7, 0, 0, 7, 7, 0, 7, 0, 7, 0, 7, 7, 0, 7, 7, 0, 0, 7], [7, 7, 0, 0, 7, 0, 7, 0, 0, 7, 0, 7, 7, 0, 7, 7, 0, 0, 7, 7], [7, 7, 0, 7, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0], [0, 7, 7, 0, 0, 0, 7, 0, 0, 7, 0, 7, 0, 0, 7, 0, 7, 7, 7, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing the causal function for some elements.\n[[0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 5, 5], [0, 5, 5, 5, 0, 0, 5, 0, 5, 0, 0, 5, 0, 0, 0, 0, 0, 0, 5, 5], [0, 0, 0, 5, 5, 5, 5, 0, 5, 5, 0, 0, 0, 5, 0, 0, 5, 5, 0, 0], [5, 0, 5, 0, 5, 0, 5, 5, 5, 0, 0, 0, 5, 0, 0, 5, 0, 5, 5, 0], [0, 0, 5, 0, 0, 5, 0, 5, 5, 0, 5, 5, 5, 0, 5, 0, 5, 5, 5, 5], [0, 5, 0, 0, 0, 5, 0, 5, 5, 5, 5, 0, 0, 5, 0, 0, 5, 5, 0, 5], [0, 5, 0, 0, 5, 0, 0, 5, 0, 5, 0, 5, 0, 5, 0, 0, 0, 5, 0, 5], [5, 5, 0, 5, 5, 0, 5, 5, 0, 5, 5, 0, 5, 5, 0, 5, 0, 0, 5, 5], [5, 5, 0, 5, 0, 5, 5, 5, 0, 0, 5, 5, 5, 0, 0, 5, 5, 0, 0, 0], [0, 0, 0, 5, 5, 5, 0, 5, 5, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 5], [0, 5, 5, 5, 0, 5, 5, 5, 5, 0, 0, 5, 5, 5, 0, 0, 5, 5, 0, 5], [0, 5, 0, 5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 5, 0, 5, 5, 0, 0, 5], [5, 5, 0, 0, 0, 0, 0, 5, 5, 0, 5, 0, 0, 0, 0, 5, 0, 5, 5, 5], [5, 0, 0, 0, 0, 0, 0, 5, 0, 5, 0, 5, 0, 0, 0, 0, 5, 5, 0, 5], [0, 5, 0, 0, 0, 0, 5, 5, 0, 5, 5, 0, 5, 5, 5, 0, 0, 0, 0, 0], [0, 5, 0, 0, 5, 5, 0, 0, 5, 0, 0, 5, 5, 5, 5, 5, 5, 5, 0, 5], [0, 5, 0, 0, 5, 0, 5, 5, 0, 0, 0, 5, 5, 0, 0, 5, 5, 0, 5, 5], [0, 5, 5, 0, 0, 0, 0, 5, 0, 5, 0, 0, 0, 5, 0, 5, 5, 0, 0, 0], [0, 5, 5, 0, 5, 0, 5, 0, 5, 5, 0, 0, 5, 5, 0, 5, 5, 0, 0, 0], [0, 0, 5, 0, 5, 5, 0, 0, 5, 5, 0, 5, 0, 0, 0, 0, 5, 5, 0, 0], [0, 0, 9, 9, 9, 0, 9, 9, 9, 0, 9, 9, 9, 0, 0, 9, 0, 9, 9, 0], [9, 9, 0, 0, 0, 0, 0, 0, 9, 9, 9, 0, 9, 0, 9, 9, 0, 0, 9, 9], [0, 0, 9, 9, 0, 9, 9, 0, 9, 9, 9, 9, 9, 9, 0, 9, 9, 0, 0, 0], [0, 9, 9, 9, 0, 9, 0, 0, 9, 0, 9, 0, 0, 9, 0, 0, 0, 9, 0, 9], [0, 9, 0, 0, 9, 0, 9, 0, 0, 0, 0, 0, 9, 0, 0, 0, 9, 9, 0, 9], [9, 0, 9, 9, 9, 9, 9, 0, 0, 0, 0, 0, 9, 0, 9, 9, 9, 0, 9, 9], [9, 0, 9, 0, 9, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9], [9, 0, 0, 9, 9, 9, 9, 9, 9, 9, 0, 0, 0, 0, 0, 9, 9, 9, 0, 0], [0, 9, 9, 0, 9, 9, 0, 0, 0, 9, 9, 0, 0, 9, 9, 9, 9, 0, 9, 0], [9, 9, 9, 0, 0, 9, 0, 0, 9, 0, 9, 0, 0, 9, 9, 9, 9, 9, 0, 9], [9, 9, 9, 0, 0, 0, 0, 9, 0, 9, 9, 0, 0, 0, 0, 0, 9, 9, 9, 0], [0, 0, 9, 9, 0, 0, 9, 0, 0, 9, 0, 9, 0, 0, 0, 9, 9, 9, 9, 0], [9, 0, 9, 0, 0, 9, 9, 0, 9, 0, 9, 0, 9, 9, 9, 9, 9, 9, 0, 0], [0, 0, 0, 0, 9, 9, 9, 0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 9, 0, 0], [0, 0, 9, 9, 0, 0, 0, 0, 0, 9, 9, 9, 0, 0, 9, 9, 9, 9, 0, 9], [9, 0, 9, 0, 9, 0, 0, 9, 9, 0, 0, 0, 9, 0, 0, 9, 9, 0, 9, 9], [9, 9, 0, 9, 9, 0, 9, 9, 9, 0, 0, 9, 0, 0, 9, 0, 0, 9, 9, 0], [0, 9, 9, 9, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 0, 0, 9, 9, 0, 9], [0, 0, 0, 0, 0, 0, 0, 9, 0, 9, 9, 9, 9, 9, 9, 9, 0, 9, 0, 0], [0, 0, 0, 9, 9, 9, 0, 9, 9, 0, 9, 0, 9, 9, 0, 0, 9, 0, 9, 0], [0, 0, 0, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 0, 0, 0, 0, 6, 6, 0], [0, 0, 6, 0, 0, 0, 0, 0, 6, 0, 0, 6, 0, 0, 6, 6, 0, 0, 6, 0], [0, 0, 0, 0, 0, 6, 6, 6, 0, 6, 0, 0, 6, 6, 0, 6, 6, 6, 0, 0], [0, 6, 0, 6, 6, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 6, 0], [0, 6, 6, 6, 0, 6, 6, 6, 6, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6], [0, 6, 0, 0, 6, 6, 6, 0, 0, 6, 0, 6, 0, 0, 0, 6, 0, 0, 0, 6], [6, 6, 6, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6], [6, 6, 6, 0, 0, 6, 6, 0, 0, 0, 6, 0, 0, 0, 6, 6, 0, 6, 0, 0], [0, 0, 0, 6, 6, 0, 0, 6, 0, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6], [0, 6, 0, 6, 0, 6, 6, 0, 6, 0, 0, 0, 0, 6, 0, 6, 6, 6, 0, 6], [0, 6, 0, 6, 6, 0, 0, 6, 6, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0], [6, 0, 0, 0, 6, 0, 6, 0, 0, 0, 6, 0, 0, 6, 6, 0, 6, 6, 0, 6], [6, 6, 0, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 0, 0], [0, 6, 0, 0, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 0, 0, 0, 6, 0, 6], [0, 0, 0, 6, 0, 0, 6, 0, 0, 6, 6, 0, 6, 0, 0, 6, 6, 6, 6, 0], [0, 6, 0, 0, 0, 6, 6, 6, 6, 6, 0, 0, 6, 0, 6, 6, 0, 6, 0, 0], [6, 0, 0, 6, 6, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 0, 6, 6], [0, 0, 0, 6, 6, 6, 0, 6, 0, 0, 0, 6, 0, 6, 0, 0, 6, 6, 6, 6], [6, 6, 0, 6, 6, 6, 6, 0, 6, 0, 0, 6, 6, 0, 6, 6, 0, 0, 0, 6], [0, 0, 6, 0, 0, 6, 0, 0, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6]] -> ",
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+                            7,
+                            0,
+                            7,
+                            0,
+                            0,
+                            7,
+                            7,
+                            7,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            7,
+                            0,
+                            0,
+                            0,
+                            7,
+                            0,
+                            7,
+                            7,
+                            0,
+                            0,
+                            0,
+                            7,
+                            0,
+                            7,
+                            7,
+                            0,
+                            7,
+                            0,
+                            0
+                        ],
+                        [
+                            7,
+                            0,
+                            0,
+                            7,
+                            7,
+                            0,
+                            7,
+                            7,
+                            7,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            7,
+                            0,
+                            0,
+                            7,
+                            7
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            7,
+                            7,
+                            0,
+                            0,
+                            7,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            7,
+                            0,
+                            0,
+                            7,
+                            7,
+                            0,
+                            7
+                        ],
+                        [
+                            0,
+                            7,
+                            0,
+                            0,
+                            7,
+                            0,
+                            7,
+                            0,
+                            7,
+                            0,
+                            0,
+                            7,
+                            7,
+                            0,
+                            7,
+                            7,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            7,
+                            0,
+                            0,
+                            7,
+                            0,
+                            0,
+                            7,
+                            7,
+                            7,
+                            0,
+                            7,
+                            7,
+                            0,
+                            0,
+                            7,
+                            7,
+                            7,
+                            0
+                        ]
+                    ]
+                }
+            },
+            "Replicate 3": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[5, 0, 5, 0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 0, 5, 5, 5, 5, 0, 0], [0, 5, 0, 5, 0, 0, 5, 0, 0, 0, 0, 5, 0, 5, 5, 5, 5, 5, 0, 5], [5, 5, 5, 0, 0, 5, 5, 0, 5, 0, 5, 0, 5, 5, 0, 0, 5, 5, 0, 0], [0, 0, 5, 0, 5, 5, 0, 5, 5, 0, 5, 0, 0, 5, 5, 5, 5, 0, 0, 5], [5, 0, 5, 5, 5, 5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 5, 0, 5, 5, 5], [5, 5, 0, 5, 0, 5, 5, 0, 0, 5, 5, 5, 0, 5, 5, 5, 0, 5, 0, 0], [5, 5, 5, 0, 0, 5, 0, 5, 5, 5, 5, 0, 0, 5, 5, 5, 5, 5, 5, 5], [0, 5, 0, 0, 5, 0, 5, 5, 0, 5, 5, 5, 5, 5, 5, 5, 0, 0, 0, 5], [5, 5, 5, 5, 0, 5, 0, 0, 5, 5, 5, 5, 0, 0, 5, 5, 0, 0, 0, 5], [5, 0, 0, 5, 0, 0, 0, 5, 5, 0, 5, 5, 5, 0, 0, 0, 5, 0, 5, 0], [0, 0, 5, 0, 0, 0, 5, 5, 0, 0, 0, 5, 0, 5, 5, 0, 5, 0, 5, 0], [0, 0, 5, 5, 5, 0, 5, 0, 0, 0, 5, 0, 0, 5, 5, 0, 5, 5, 5, 0], [5, 0, 0, 5, 5, 0, 5, 0, 5, 0, 5, 5, 0, 0, 5, 5, 5, 5, 0, 0], [5, 5, 5, 5, 0, 0, 5, 0, 5, 0, 5, 5, 5, 0, 0, 0, 0, 5, 0, 5], [5, 0, 0, 0, 0, 5, 0, 0, 5, 0, 5, 5, 5, 0, 0, 0, 0, 5, 5, 5], [5, 0, 5, 5, 0, 0, 0, 0, 0, 0, 5, 5, 0, 5, 5, 0, 0, 5, 5, 5], [0, 5, 5, 5, 5, 0, 5, 5, 0, 5, 5, 0, 5, 5, 0, 0, 5, 5, 0, 0], [0, 0, 5, 5, 5, 0, 5, 5, 0, 5, 0, 5, 0, 5, 0, 5, 5, 5, 5, 0], [5, 0, 5, 5, 5, 0, 0, 0, 5, 5, 0, 0, 5, 0, 5, 5, 5, 5, 0, 5], [0, 0, 5, 0, 0, 0, 5, 5, 0, 5, 0, 0, 5, 5, 0, 0, 5, 0, 0, 5], [0, 0, 9, 0, 0, 0, 0, 9, 9, 0, 9, 0, 0, 0, 9, 9, 0, 9, 9, 9], [9, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 9, 0, 0, 9, 0, 0, 9, 0, 0], [0, 9, 9, 0, 9, 9, 9, 9, 9, 0, 9, 0, 9, 9, 9, 9, 9, 9, 9, 0], [9, 0, 9, 0, 0, 0, 9, 9, 0, 0, 9, 0, 0, 9, 0, 9, 0, 9, 9, 9], [0, 9, 0, 0, 0, 0, 9, 9, 0, 9, 9, 9, 0, 9, 9, 0, 9, 0, 9, 9], [9, 9, 9, 9, 0, 0, 9, 0, 0, 0, 0, 0, 9, 0, 0, 9, 9, 0, 9, 0], [9, 9, 9, 9, 0, 0, 0, 9, 9, 0, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0], [9, 9, 9, 0, 9, 0, 9, 0, 9, 0, 9, 9, 9, 9, 0, 9, 0, 9, 9, 0], [0, 9, 0, 9, 0, 9, 9, 9, 0, 9, 0, 0, 0, 0, 9, 9, 9, 0, 0, 9], [9, 0, 9, 0, 9, 9, 9, 0, 0, 0, 0, 9, 0, 0, 9, 9, 0, 0, 0, 0], [0, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 0], [0, 9, 0, 9, 0, 0, 9, 9, 9, 0, 9, 0, 0, 9, 0, 0, 9, 0, 9, 9], [0, 9, 0, 9, 9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 0, 9, 0, 9, 0, 0], [9, 9, 0, 0, 9, 0, 9, 0, 9, 9, 9, 9, 0, 0, 0, 0, 0, 0, 9, 0], [0, 9, 9, 9, 0, 9, 0, 9, 0, 9, 0, 0, 9, 0, 0, 0, 9, 0, 0, 9], [9, 9, 0, 9, 9, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0, 0, 0, 9, 9, 0], [9, 9, 9, 9, 9, 0, 9, 0, 0, 9, 0, 9, 0, 9, 0, 0, 0, 0, 0, 9], [0, 9, 9, 0, 0, 0, 0, 0, 9, 9, 0, 9, 0, 9, 9, 0, 9, 0, 0, 0], [0, 0, 0, 9, 0, 0, 0, 0, 9, 9, 9, 0, 0, 9, 0, 9, 9, 0, 9, 0], [9, 0, 0, 0, 9, 9, 0, 9, 9, 0, 0, 9, 9, 9, 9, 0, 9, 9, 9, 0], [6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 0, 6, 0, 6, 0, 6, 6, 0, 6, 6], [6, 0, 6, 6, 0, 6, 0, 0, 6, 0, 0, 6, 6, 0, 6, 0, 0, 6, 0, 6], [0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 6, 6, 0, 0, 6, 0, 0, 6, 0, 6], [0, 6, 0, 0, 6, 6, 6, 6, 0, 0, 0, 6, 0, 6, 0, 0, 0, 6, 6, 6], [6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 6, 6, 0, 6, 0, 6, 6, 6, 0], [0, 0, 6, 0, 0, 6, 6, 0, 6, 6, 0, 6, 6, 0, 6, 6, 0, 6, 0, 6], [0, 0, 6, 0, 6, 6, 0, 6, 0, 0, 0, 0, 0, 0, 6, 0, 0, 6, 0, 6], [6, 0, 0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6, 0, 0, 6, 6, 0, 0, 6], [0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0, 6], [6, 0, 0, 6, 0, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 6, 6, 0, 0, 0, 6, 0, 6, 0, 0, 6, 6, 0, 6, 0, 6, 6], [6, 0, 0, 6, 0, 6, 0, 6, 6, 0, 0, 6, 6, 0, 6, 6, 0, 0, 0, 6], [0, 6, 0, 6, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6], [0, 6, 6, 0, 0, 0, 6, 6, 0, 6, 0, 0, 0, 0, 0, 6, 0, 0, 6, 6], [0, 0, 6, 0, 0, 0, 0, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6, 0, 6, 0], [6, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6, 0], [0, 6, 0, 0, 6, 6, 0, 6, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 6, 6], [0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6], [0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 0, 6, 6, 0, 6, 6, 6, 0, 6, 0], [6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 6, 6, 6]] -> [[7, 0, 7, 0, 0, 0, 7, 0, 7, 0, 0, 7, 0, 0, 0, 7, 7, 0, 7, 7], [7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 7, 0, 7], [0, 0, 7, 0, 0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7, 0, 0], [0, 0, 0, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 7, 7], [7, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 0, 7, 0, 7, 7, 7, 0], [0, 0, 7, 0, 0, 7, 7, 0, 0, 7, 0, 7, 7, 0, 7, 7, 0, 7, 0, 0], [0, 0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 0, 7], [7, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 0, 0, 7, 0, 0, 0, 7], [0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7], [7, 0, 0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0], [0, 0, 0, 7, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7], [0, 7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 0, 0, 7, 0, 0], [0, 7, 7, 0, 0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7], [0, 0, 7, 0, 0, 0, 0, 7, 7, 7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0], [7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 7, 0, 0, 0, 7, 0], [0, 7, 0, 0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0, 7], [0, 7, 7, 7, 7, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0], [0, 0, 7, 7, 7, 0, 0, 0, 7, 0, 0, 0, 7, 0, 7, 7, 7, 0, 7, 0], [7, 0, 7, 0, 7, 7, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 7]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [0, 0, 0, 9, 9, 0, 9, 9, 0, 0, 0, 9, 9, 9, 9, 0, 9, 9, 0, 9], [0, 0, 0, 9, 9, 9, 0, 9, 9, 0, 0, 9, 0, 0, 9, 9, 0, 0, 9, 9], [9, 9, 9, 9, 0, 0, 0, 9, 0, 0, 9, 9, 0, 0, 9, 9, 9, 0, 9, 0], [9, 9, 0, 0, 9, 9, 9, 9, 0, 0, 0, 9, 9, 9, 0, 9, 0, 9, 0, 0], [0, 0, 9, 9, 9, 9, 0, 0, 0, 0, 0, 0, 9, 0, 0, 9, 0, 0, 0, 0], [0, 0, 9, 0, 0, 9, 0, 9, 0, 0, 9, 0, 9, 0, 0, 9, 0, 0, 0, 0], [0, 9, 0, 9, 9, 9, 9, 0, 0, 0, 0, 9, 9, 9, 0, 9, 0, 9, 0, 0], [0, 9, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 9, 0, 0, 0, 9, 9], [9, 9, 9, 9, 0, 9, 0, 9, 0, 0, 9, 0, 0, 0, 9, 9, 9, 0, 9, 9], [9, 9, 9, 9, 9, 9, 0, 9, 9, 0, 0, 0, 9, 9, 9, 9, 0, 0, 9, 0], [0, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 0, 9, 9, 0, 0, 0], [0, 0, 9, 0, 0, 0, 9, 0, 9, 0, 0, 9, 0, 0, 9, 9, 0, 9, 0, 0], [9, 0, 9, 9, 0, 0, 9, 9, 0, 9, 9, 9, 9, 9, 0, 9, 9, 9, 9, 9], [0, 0, 0, 9, 0, 0, 9, 0, 0, 9, 0, 9, 0, 9, 0, 0, 9, 0, 9, 9], [9, 0, 0, 9, 9, 0, 0, 9, 0, 0, 0, 0, 0, 9, 9, 9, 0, 0, 9, 9], [9, 0, 0, 9, 9, 0, 9, 9, 9, 9, 0, 0, 9, 9, 0, 9, 0, 9, 0, 9], [9, 9, 0, 0, 9, 9, 9, 0, 9, 9, 9, 9, 9, 0, 0, 0, 9, 9, 9, 9], [9, 0, 0, 0, 9, 0, 0, 0, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9], [0, 9, 9, 0, 0, 9, 9, 0, 9, 0, 9, 0, 9, 9, 0, 0, 9, 0, 0, 9], [9, 0, 0, 0, 9, 0, 9, 0, 9, 9, 0, 0, 9, 0, 9, 9, 9, 9, 0, 9], [0, 0, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 6, 0, 6, 0], [0, 6, 0, 0, 6, 0, 0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 6, 6, 6], [6, 6, 0, 6, 6, 6, 0, 0, 0, 0, 6, 0, 0, 0, 0, 6, 0, 0, 0, 6], [6, 6, 6, 6, 0, 0, 6, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 6, 0, 6], [6, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 6, 0, 6, 6, 0, 6, 0, 6, 0], [6, 6, 6, 6, 0, 6, 6, 0, 6, 6, 0, 6, 0, 0, 0, 6, 0, 0, 6, 6], [6, 0, 6, 6, 0, 6, 6, 0, 0, 6, 0, 0, 0, 6, 6, 6, 6, 6, 0, 6], [0, 0, 6, 6, 0, 6, 0, 0, 6, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 0], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 0, 0, 6, 0, 0, 0, 6, 6], [0, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 6, 6, 6, 0, 6], [6, 6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 6, 0, 0, 0, 0, 6, 0], [0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 0, 0, 0, 0, 6, 0, 0], [6, 0, 6, 6, 0, 0, 0, 0, 6, 0, 0, 6, 6, 6, 0, 0, 6, 0, 0, 0], [0, 0, 6, 0, 6, 6, 0, 0, 6, 0, 0, 0, 0, 6, 6, 6, 0, 6, 0, 6], [0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 6, 0, 0, 6, 6, 0], [6, 0, 6, 6, 0, 6, 0, 6, 6, 6, 6, 0, 6, 6, 0, 0, 0, 0, 0, 6], [6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 6, 0, 0, 0, 6, 0, 0, 0, 0], [6, 0, 0, 0, 6, 6, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6, 0, 6, 0, 6], [6, 0, 6, 6, 6, 6, 6, 0, 0, 0, 6, 6, 0, 6, 6, 6, 0, 6, 0, 6], [6, 6, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 7, 0, 7, 0], [0, 7, 0, 0, 7, 0, 0, 7, 0, 7, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7], [7, 7, 0, 7, 7, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 7], [7, 7, 7, 7, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0, 7], [7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 7, 7, 0, 7, 7, 0, 7, 0, 7, 0], [7, 7, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7, 7], [7, 0, 7, 7, 0, 7, 7, 0, 0, 7, 0, 0, 0, 7, 7, 7, 7, 7, 0, 7], [0, 0, 7, 7, 0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 7, 7, 0, 7, 7, 0], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 7, 0, 0, 0, 7, 7], [0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 7, 7, 0, 7], [7, 7, 7, 7, 7, 0, 7, 7, 7, 0, 7, 7, 0, 7, 0, 0, 0, 0, 7, 0], [0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0, 0], [7, 0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 7, 7, 7, 0, 0, 7, 0, 0, 0], [0, 0, 7, 0, 7, 7, 0, 0, 7, 0, 0, 0, 0, 7, 7, 7, 0, 7, 0, 7], [0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 7, 0, 0, 7, 7, 0], [7, 0, 7, 7, 0, 7, 0, 7, 7, 7, 7, 0, 7, 7, 0, 0, 0, 0, 0, 7], [7, 7, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0], [7, 0, 0, 0, 7, 7, 0, 0, 7, 0, 0, 0, 0, 7, 0, 7, 0, 7, 0, 7], [7, 0, 7, 7, 7, 7, 7, 0, 0, 0, 7, 7, 0, 7, 7, 7, 0, 7, 0, 7], [7, 7, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 5, 5, 0, 5, 0, 5, 0, 0, 5, 0, 0, 0, 5, 5], [5, 5, 5, 0, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 5, 0, 0, 5, 5, 0], [0, 0, 5, 0, 0, 0, 0, 5, 0, 5, 5, 5, 0, 0, 0, 5, 0, 5, 0, 0], [5, 0, 0, 5, 5, 5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5], [5, 0, 0, 5, 5, 0, 0, 0, 0, 0, 5, 0, 5, 5, 0, 5, 5, 0, 0, 0], [5, 0, 5, 0, 5, 0, 5, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 0, 5, 5], [5, 0, 5, 5, 0, 5, 0, 0, 5, 5, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0], [0, 0, 5, 5, 5, 0, 0, 0, 5, 0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 0], [5, 5, 0, 5, 0, 0, 0, 5, 0, 5, 0, 5, 5, 0, 0, 5, 5, 5, 5, 5], [0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 5, 0, 5], [5, 5, 0, 0, 5, 5, 0, 5, 0, 5, 5, 5, 5, 0, 0, 0, 0, 5, 0, 5], [0, 0, 0, 5, 5, 0, 5, 0, 5, 0, 5, 5, 5, 5, 0, 5, 0, 0, 0, 5], [0, 0, 0, 0, 5, 5, 0, 0, 5, 5, 5, 0, 0, 0, 5, 0, 0, 0, 0, 5], [5, 5, 0, 5, 5, 0, 5, 0, 0, 5, 0, 0, 5, 0, 5, 0, 0, 0, 5, 5], [5, 5, 0, 0, 0, 5, 5, 0, 0, 5, 5, 5, 5, 0, 5, 5, 5, 0, 0, 0], [0, 0, 5, 0, 5, 0, 0, 0, 5, 0, 0, 5, 5, 5, 0, 5, 5, 5, 0, 0], [5, 0, 0, 5, 5, 0, 5, 0, 5, 0, 5, 5, 5, 0, 5, 0, 5, 5, 0, 5], [5, 0, 5, 5, 0, 0, 5, 0, 5, 0, 5, 5, 0, 0, 0, 0, 5, 5, 5, 0], [5, 0, 5, 0, 5, 5, 0, 5, 0, 0, 0, 5, 0, 5, 0, 5, 5, 0, 0, 5], [5, 5, 0, 5, 0, 5, 5, 0, 0, 0, 5, 0, 0, 5, 5, 5, 0, 5, 0, 0], [0, 0, 0, 9, 0, 0, 0, 0, 0, 9, 9, 9, 9, 9, 0, 9, 0, 9, 0, 0], [9, 9, 9, 0, 9, 0, 0, 0, 0, 0, 9, 9, 0, 9, 0, 9, 0, 0, 9, 0], [9, 0, 0, 0, 0, 0, 9, 9, 9, 9, 9, 0, 0, 9, 0, 9, 0, 9, 9, 0], [0, 9, 0, 9, 9, 0, 9, 9, 0, 0, 9, 9, 0, 0, 0, 0, 9, 9, 0, 9], [9, 0, 0, 9, 0, 9, 9, 0, 0, 0, 0, 9, 9, 0, 9, 0, 9, 0, 9, 9], [9, 0, 9, 9, 9, 0, 0, 0, 9, 9, 9, 0, 9, 9, 0, 9, 9, 9, 0, 9], [0, 9, 0, 0, 0, 9, 9, 0, 9, 0, 0, 0, 0, 9, 0, 0, 0, 0, 9, 9], [0, 0, 0, 0, 0, 9, 9, 0, 0, 9, 0, 0, 9, 9, 0, 9, 9, 0, 9, 9], [9, 0, 9, 0, 0, 9, 9, 0, 9, 0, 9, 0, 9, 0, 0, 0, 9, 0, 0, 9], [9, 9, 9, 0, 0, 0, 9, 9, 0, 0, 9, 0, 0, 0, 9, 0, 0, 0, 0, 0], [0, 0, 0, 9, 0, 9, 0, 9, 9, 0, 9, 0, 9, 9, 0, 0, 9, 9, 9, 9], [0, 0, 0, 0, 9, 0, 9, 9, 0, 9, 9, 9, 9, 9, 0, 9, 9, 9, 0, 0], [0, 0, 0, 0, 0, 0, 9, 9, 0, 9, 0, 0, 0, 0, 0, 9, 0, 9, 0, 9], [9, 9, 9, 0, 9, 9, 0, 0, 9, 9, 0, 9, 0, 0, 9, 9, 9, 0, 9, 9], [9, 0, 0, 9, 0, 9, 9, 9, 0, 0, 0, 9, 9, 0, 0, 0, 9, 0, 9, 9], [0, 9, 9, 0, 0, 0, 9, 0, 0, 9, 9, 9, 0, 0, 0, 0, 9, 0, 9, 0], [9, 9, 0, 0, 9, 0, 0, 0, 0, 0, 9, 0, 9, 0, 0, 0, 0, 9, 9, 0], [9, 0, 9, 9, 0, 9, 0, 9, 9, 0, 0, 9, 9, 0, 9, 9, 0, 0, 0, 9], [9, 9, 0, 9, 9, 9, 0, 0, 9, 0, 0, 0, 9, 9, 9, 0, 9, 0, 0, 9], [0, 9, 9, 0, 9, 0, 9, 9, 0, 9, 0, 9, 9, 0, 0, 0, 0, 9, 9, 9], [0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 6, 6, 0, 0, 6, 6, 6, 6, 6, 0], [0, 6, 0, 6, 6, 6, 0, 0, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 6, 6], [6, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 0, 0, 0, 0, 0, 6, 0, 6, 6], [0, 6, 6, 0, 6, 6, 0, 6, 6, 0, 0, 0, 6, 6, 6, 6, 0, 0, 6, 6], [0, 6, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 0, 0, 6, 6, 0, 6, 0], [0, 6, 0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 6, 6, 0, 0, 6, 0, 0], [6, 6, 6, 0, 6, 0, 6, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0], [0, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 0, 0], [0, 0, 0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 6, 6, 6, 6, 0], [0, 6, 0, 6, 0, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 0, 0, 0, 6, 6], [6, 6, 0, 0, 6, 6, 0, 6, 0, 6, 0, 0, 6, 6, 6, 0, 0, 0, 6, 6], [6, 0, 6, 0, 0, 6, 6, 6, 6, 6, 0, 6, 0, 0, 6, 0, 6, 6, 0, 6], [6, 6, 0, 0, 6, 0, 6, 6, 0, 6, 0, 6, 6, 0, 6, 6, 6, 6, 6, 0], [0, 0, 0, 6, 0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 6, 0, 6, 0, 0, 6], [6, 6, 0, 6, 6, 0, 0, 0, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 0, 0], [6, 0, 6, 0, 6, 6, 0, 0, 0, 6, 0, 6, 6, 6, 6, 0, 0, 6, 6, 6], [6, 0, 6, 0, 6, 0, 6, 0, 6, 0, 6, 6, 6, 0, 6, 6, 0, 6, 6, 0], [6, 0, 6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 6, 6, 0, 6, 0, 6, 6], [0, 0, 0, 6, 0, 6, 6, 6, 6, 0, 0, 0, 0, 6, 0, 0, 6, 6, 0, 6], [0, 0, 6, 0, 0, 6, 6, 6, 0, 6, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0]] -> [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 7, 7, 0, 7, 7, 0], [0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 7, 7, 0], [7, 0, 7, 0, 0, 0, 7, 7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0], [0, 7, 0, 0, 7, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7], [0, 0, 0, 7, 7, 7, 7, 0, 0, 0, 7, 7, 7, 0, 0, 7, 7, 0, 7, 0], [0, 0, 0, 7, 0, 0, 7, 0, 0, 7, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0], [7, 7, 7, 0, 0, 0, 7, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 0, 0, 0], [0, 0, 7, 0, 7, 7, 0, 0, 7, 7, 0, 0, 7, 7, 0, 7, 7, 0, 0, 0], [0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 7, 7, 0, 0, 0, 7, 7, 7, 7, 0], [0, 7, 0, 7, 0, 0, 7, 0, 0, 0, 7, 7, 0, 0, 7, 0, 0, 0, 0, 7], [7, 7, 0, 0, 7, 7, 0, 7, 0, 7, 0, 0, 7, 7, 0, 0, 0, 0, 7, 7], [0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 0, 7, 0, 0, 0, 0, 7, 7, 0, 7], [0, 0, 0, 0, 7, 0, 7, 7, 0, 7, 0, 0, 0, 0, 7, 7, 0, 7, 0, 0], [0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0, 0, 7, 0, 7, 0, 7, 0, 0, 7], [7, 7, 0, 7, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 7, 7, 0, 0, 0], [0, 0, 7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 0, 7, 7, 0], [7, 0, 0, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7, 0, 7, 0, 0, 7, 7, 0], [7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 7, 0, 7, 0, 7, 7], [0, 0, 0, 7, 0, 7, 0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 7], [0, 0, 7, 0, 0, 7, 7, 7, 0, 7, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 0, 0, 0, 0, 0, 5, 5, 0, 5, 0, 5, 0, 0, 5, 0, 0, 0, 5, 5], [5, 5, 5, 0, 0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 5, 0, 0, 5, 5, 0], [0, 0, 5, 0, 0, 0, 0, 5, 0, 5, 5, 5, 0, 0, 0, 5, 0, 5, 0, 0], [5, 0, 0, 5, 5, 5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5], [5, 0, 0, 5, 5, 0, 0, 0, 0, 0, 5, 0, 5, 5, 0, 5, 5, 0, 0, 0], [5, 0, 5, 0, 5, 0, 5, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 0, 5, 5], [5, 0, 5, 5, 0, 5, 0, 0, 5, 5, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0], [0, 0, 5, 5, 5, 0, 0, 0, 5, 0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 0], [5, 5, 0, 5, 0, 0, 0, 5, 0, 5, 0, 5, 5, 0, 0, 5, 5, 5, 5, 5], [0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 5, 0, 5], [5, 5, 0, 0, 5, 5, 0, 5, 0, 5, 5, 5, 5, 0, 0, 0, 0, 5, 0, 5], [0, 0, 0, 5, 5, 0, 5, 0, 5, 0, 5, 5, 5, 5, 0, 5, 0, 0, 0, 5], [0, 0, 0, 0, 5, 5, 0, 0, 5, 5, 5, 0, 0, 0, 5, 0, 0, 0, 0, 5], [5, 5, 0, 5, 5, 0, 5, 0, 0, 5, 0, 0, 5, 0, 5, 0, 0, 0, 5, 5], [5, 5, 0, 0, 0, 5, 5, 0, 0, 5, 5, 5, 5, 0, 5, 5, 5, 0, 0, 0], [0, 0, 5, 0, 5, 0, 0, 0, 5, 0, 0, 5, 5, 5, 0, 5, 5, 5, 0, 0], [5, 0, 0, 5, 5, 0, 5, 0, 5, 0, 5, 5, 5, 0, 5, 0, 5, 5, 0, 5], [5, 0, 5, 5, 0, 0, 5, 0, 5, 0, 5, 5, 0, 0, 0, 0, 5, 5, 5, 0], [5, 0, 5, 0, 5, 5, 0, 5, 0, 0, 0, 5, 0, 5, 0, 5, 5, 0, 0, 5], [5, 5, 0, 5, 0, 5, 5, 0, 0, 0, 5, 0, 0, 5, 5, 5, 0, 5, 0, 0], [0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0], [1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0], [1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0], [0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1], [1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1], [1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1], [0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1], [0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1], [1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1], [1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1], [0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1], [1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1], [1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1], [0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0], [1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0], [1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1], [1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1], [0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1], [0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 6, 6, 0, 0, 6, 6, 6, 6, 6, 0], [0, 6, 0, 6, 6, 6, 0, 0, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 6, 6], [6, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 0, 0, 0, 0, 0, 6, 0, 6, 6], [0, 6, 6, 0, 6, 6, 0, 6, 6, 0, 0, 0, 6, 6, 6, 6, 0, 0, 6, 6], [0, 6, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 0, 0, 6, 6, 0, 6, 0], [0, 6, 0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 6, 6, 0, 0, 6, 0, 0], [6, 6, 6, 0, 6, 0, 6, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0], [0, 0, 6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 0, 0], [0, 0, 0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 6, 6, 6, 6, 0], [0, 6, 0, 6, 0, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 0, 0, 0, 6, 6], [6, 6, 0, 0, 6, 6, 0, 6, 0, 6, 0, 0, 6, 6, 6, 0, 0, 0, 6, 6], [6, 0, 6, 0, 0, 6, 6, 6, 6, 6, 0, 6, 0, 0, 6, 0, 6, 6, 0, 6], [6, 6, 0, 0, 6, 0, 6, 6, 0, 6, 0, 6, 6, 0, 6, 6, 6, 6, 6, 0], [0, 0, 0, 6, 0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 6, 0, 6, 0, 0, 6], [6, 6, 0, 6, 6, 0, 0, 0, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 0, 0], [6, 0, 6, 0, 6, 6, 0, 0, 0, 6, 0, 6, 6, 6, 6, 0, 0, 6, 6, 6], [6, 0, 6, 0, 6, 0, 6, 0, 6, 0, 6, 6, 6, 0, 6, 6, 0, 6, 6, 0], [6, 0, 6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 6, 6, 0, 6, 0, 6, 6], [0, 0, 0, 6, 0, 6, 6, 6, 6, 0, 0, 0, 0, 6, 0, 0, 6, 6, 0, 6], [0, 0, 6, 0, 0, 6, 6, 6, 0, 6, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0]] -> ",
+                "test": {
+                    "input": [
+                        [
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+            "Replicate 4": {
+                "prompt": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. You will then be asked to predict the output for a counterfactual example. Both the inputs and outputs are 2D grids of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. Grids are provided as Python arrays. You must output only a single Python array, and do not explain your reasoning.\nExample input-output arrays:\n[[5, 0, 5, 0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 0, 5, 5, 5, 5, 0, 0], [0, 5, 0, 5, 0, 0, 5, 0, 0, 0, 0, 5, 0, 5, 5, 5, 5, 5, 0, 5], [5, 5, 5, 0, 0, 5, 5, 0, 5, 0, 5, 0, 5, 5, 0, 0, 5, 5, 0, 0], [0, 0, 5, 0, 5, 5, 0, 5, 5, 0, 5, 0, 0, 5, 5, 5, 5, 0, 0, 5], [5, 0, 5, 5, 5, 5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 5, 0, 5, 5, 5], [5, 5, 0, 5, 0, 5, 5, 0, 0, 5, 5, 5, 0, 5, 5, 5, 0, 5, 0, 0], [5, 5, 5, 0, 0, 5, 0, 5, 5, 5, 5, 0, 0, 5, 5, 5, 5, 5, 5, 5], [0, 5, 0, 0, 5, 0, 5, 5, 0, 5, 5, 5, 5, 5, 5, 5, 0, 0, 0, 5], [5, 5, 5, 5, 0, 5, 0, 0, 5, 5, 5, 5, 0, 0, 5, 5, 0, 0, 0, 5], [5, 0, 0, 5, 0, 0, 0, 5, 5, 0, 5, 5, 5, 0, 0, 0, 5, 0, 5, 0], [0, 0, 5, 0, 0, 0, 5, 5, 0, 0, 0, 5, 0, 5, 5, 0, 5, 0, 5, 0], [0, 0, 5, 5, 5, 0, 5, 0, 0, 0, 5, 0, 0, 5, 5, 0, 5, 5, 5, 0], [5, 0, 0, 5, 5, 0, 5, 0, 5, 0, 5, 5, 0, 0, 5, 5, 5, 5, 0, 0], [5, 5, 5, 5, 0, 0, 5, 0, 5, 0, 5, 5, 5, 0, 0, 0, 0, 5, 0, 5], [5, 0, 0, 0, 0, 5, 0, 0, 5, 0, 5, 5, 5, 0, 0, 0, 0, 5, 5, 5], [5, 0, 5, 5, 0, 0, 0, 0, 0, 0, 5, 5, 0, 5, 5, 0, 0, 5, 5, 5], [0, 5, 5, 5, 5, 0, 5, 5, 0, 5, 5, 0, 5, 5, 0, 0, 5, 5, 0, 0], [0, 0, 5, 5, 5, 0, 5, 5, 0, 5, 0, 5, 0, 5, 0, 5, 5, 5, 5, 0], [5, 0, 5, 5, 5, 0, 0, 0, 5, 5, 0, 0, 5, 0, 5, 5, 5, 5, 0, 5], [0, 0, 5, 0, 0, 0, 5, 5, 0, 5, 0, 0, 5, 5, 0, 0, 5, 0, 0, 5], [0, 0, 9, 0, 0, 0, 0, 9, 9, 0, 9, 0, 0, 0, 9, 9, 0, 9, 9, 9], [9, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 9, 0, 0, 9, 0, 0, 9, 0, 0], [0, 9, 9, 0, 9, 9, 9, 9, 9, 0, 9, 0, 9, 9, 9, 9, 9, 9, 9, 0], [9, 0, 9, 0, 0, 0, 9, 9, 0, 0, 9, 0, 0, 9, 0, 9, 0, 9, 9, 9], [0, 9, 0, 0, 0, 0, 9, 9, 0, 9, 9, 9, 0, 9, 9, 0, 9, 0, 9, 9], [9, 9, 9, 9, 0, 0, 9, 0, 0, 0, 0, 0, 9, 0, 0, 9, 9, 0, 9, 0], [9, 9, 9, 9, 0, 0, 0, 9, 9, 0, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0], [9, 9, 9, 0, 9, 0, 9, 0, 9, 0, 9, 9, 9, 9, 0, 9, 0, 9, 9, 0], [0, 9, 0, 9, 0, 9, 9, 9, 0, 9, 0, 0, 0, 0, 9, 9, 9, 0, 0, 9], [9, 0, 9, 0, 9, 9, 9, 0, 0, 0, 0, 9, 0, 0, 9, 9, 0, 0, 0, 0], [0, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 0], [0, 9, 0, 9, 0, 0, 9, 9, 9, 0, 9, 0, 0, 9, 0, 0, 9, 0, 9, 9], [0, 9, 0, 9, 9, 0, 9, 0, 9, 0, 9, 9, 9, 0, 0, 9, 0, 9, 0, 0], [9, 9, 0, 0, 9, 0, 9, 0, 9, 9, 9, 9, 0, 0, 0, 0, 0, 0, 9, 0], [0, 9, 9, 9, 0, 9, 0, 9, 0, 9, 0, 0, 9, 0, 0, 0, 9, 0, 0, 9], [9, 9, 0, 9, 9, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0, 0, 0, 9, 9, 0], [9, 9, 9, 9, 9, 0, 9, 0, 0, 9, 0, 9, 0, 9, 0, 0, 0, 0, 0, 9], [0, 9, 9, 0, 0, 0, 0, 0, 9, 9, 0, 9, 0, 9, 9, 0, 9, 0, 0, 0], [0, 0, 0, 9, 0, 0, 0, 0, 9, 9, 9, 0, 0, 9, 0, 9, 9, 0, 9, 0], [9, 0, 0, 0, 9, 9, 0, 9, 9, 0, 0, 9, 9, 9, 9, 0, 9, 9, 9, 0], [6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 0, 6, 0, 6, 0, 6, 6, 0, 6, 6], [6, 0, 6, 6, 0, 6, 0, 0, 6, 0, 0, 6, 6, 0, 6, 0, 0, 6, 0, 6], [0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 6, 6, 0, 0, 6, 0, 0, 6, 0, 6], [0, 6, 0, 0, 6, 6, 6, 6, 0, 0, 0, 6, 0, 6, 0, 0, 0, 6, 6, 6], [6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 6, 6, 0, 6, 0, 6, 6, 6, 0], [0, 0, 6, 0, 0, 6, 6, 0, 6, 6, 0, 6, 6, 0, 6, 6, 0, 6, 0, 6], [0, 0, 6, 0, 6, 6, 0, 6, 0, 0, 0, 0, 0, 0, 6, 0, 0, 6, 0, 6], [6, 0, 0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6, 0, 0, 6, 6, 0, 0, 6], [0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0, 6], [6, 0, 0, 6, 0, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 6, 6, 0, 0, 0, 6, 0, 6, 0, 0, 6, 6, 0, 6, 0, 6, 6], [6, 0, 0, 6, 0, 6, 0, 6, 6, 0, 0, 6, 6, 0, 6, 6, 0, 0, 0, 6], [0, 6, 0, 6, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6], [0, 6, 6, 0, 0, 0, 6, 6, 0, 6, 0, 0, 0, 0, 0, 6, 0, 0, 6, 6], [0, 0, 6, 0, 0, 0, 0, 6, 6, 6, 0, 0, 6, 0, 6, 6, 6, 0, 6, 0], [6, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6, 0], [0, 6, 0, 0, 6, 6, 0, 6, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 6, 6], [0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6], [0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 0, 6, 6, 0, 6, 6, 6, 0, 6, 0], [6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 6, 6, 6]] -> [[7, 0, 7, 0, 0, 0, 7, 0, 7, 0, 0, 7, 0, 0, 0, 7, 7, 0, 7, 7], [7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 7, 0, 7], [0, 0, 7, 0, 0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7, 0, 0], [0, 0, 0, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 7, 7], [7, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 0, 7, 0, 7, 7, 7, 0], [0, 0, 7, 0, 0, 7, 7, 0, 0, 7, 0, 7, 7, 0, 7, 7, 0, 7, 0, 0], [0, 0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 0, 7], [7, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 0, 0, 7, 0, 0, 0, 7], [0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7], [7, 0, 0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0], [0, 0, 0, 7, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7], [0, 7, 0, 7, 0, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 0, 0, 7, 0, 0], [0, 7, 7, 0, 0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7], [0, 0, 7, 0, 0, 0, 0, 7, 7, 7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0], [7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 7, 0, 0, 0, 7, 0], [0, 7, 0, 0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0, 7], [0, 7, 7, 7, 7, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0], [0, 0, 7, 7, 7, 0, 0, 0, 7, 0, 0, 0, 7, 0, 7, 7, 7, 0, 7, 0], [7, 0, 7, 0, 7, 7, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 7, 7]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [0, 0, 0, 9, 9, 0, 9, 9, 0, 0, 0, 9, 9, 9, 9, 0, 9, 9, 0, 9], [0, 0, 0, 9, 9, 9, 0, 9, 9, 0, 0, 9, 0, 0, 9, 9, 0, 0, 9, 9], [9, 9, 9, 9, 0, 0, 0, 9, 0, 0, 9, 9, 0, 0, 9, 9, 9, 0, 9, 0], [9, 9, 0, 0, 9, 9, 9, 9, 0, 0, 0, 9, 9, 9, 0, 9, 0, 9, 0, 0], [0, 0, 9, 9, 9, 9, 0, 0, 0, 0, 0, 0, 9, 0, 0, 9, 0, 0, 0, 0], [0, 0, 9, 0, 0, 9, 0, 9, 0, 0, 9, 0, 9, 0, 0, 9, 0, 0, 0, 0], [0, 9, 0, 9, 9, 9, 9, 0, 0, 0, 0, 9, 9, 9, 0, 9, 0, 9, 0, 0], [0, 9, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 9, 0, 0, 0, 9, 9], [9, 9, 9, 9, 0, 9, 0, 9, 0, 0, 9, 0, 0, 0, 9, 9, 9, 0, 9, 9], [9, 9, 9, 9, 9, 9, 0, 9, 9, 0, 0, 0, 9, 9, 9, 9, 0, 0, 9, 0], [0, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 0, 9, 9, 0, 0, 0], [0, 0, 9, 0, 0, 0, 9, 0, 9, 0, 0, 9, 0, 0, 9, 9, 0, 9, 0, 0], [9, 0, 9, 9, 0, 0, 9, 9, 0, 9, 9, 9, 9, 9, 0, 9, 9, 9, 9, 9], [0, 0, 0, 9, 0, 0, 9, 0, 0, 9, 0, 9, 0, 9, 0, 0, 9, 0, 9, 9], [9, 0, 0, 9, 9, 0, 0, 9, 0, 0, 0, 0, 0, 9, 9, 9, 0, 0, 9, 9], [9, 0, 0, 9, 9, 0, 9, 9, 9, 9, 0, 0, 9, 9, 0, 9, 0, 9, 0, 9], [9, 9, 0, 0, 9, 9, 9, 0, 9, 9, 9, 9, 9, 0, 0, 0, 9, 9, 9, 9], [9, 0, 0, 0, 9, 0, 0, 0, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9], [0, 9, 9, 0, 0, 9, 9, 0, 9, 0, 9, 0, 9, 9, 0, 0, 9, 0, 0, 9], [9, 0, 0, 0, 9, 0, 9, 0, 9, 9, 0, 0, 9, 0, 9, 9, 9, 9, 0, 9], [0, 0, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 6, 0, 6, 0], [0, 6, 0, 0, 6, 0, 0, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 6, 6, 6], [6, 6, 0, 6, 6, 6, 0, 0, 0, 0, 6, 0, 0, 0, 0, 6, 0, 0, 0, 6], [6, 6, 6, 6, 0, 0, 6, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 6, 0, 6], [6, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 6, 0, 6, 6, 0, 6, 0, 6, 0], [6, 6, 6, 6, 0, 6, 6, 0, 6, 6, 0, 6, 0, 0, 0, 6, 0, 0, 6, 6], [6, 0, 6, 6, 0, 6, 6, 0, 0, 6, 0, 0, 0, 6, 6, 6, 6, 6, 0, 6], [0, 0, 6, 6, 0, 6, 0, 0, 6, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 0], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 0, 0, 6, 0, 0, 0, 6, 6], [0, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 6, 6, 6, 0, 6], [6, 6, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 6, 0, 0, 0, 0, 6, 0], [0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 0, 0, 0, 0, 6, 0, 0], [6, 0, 6, 6, 0, 0, 0, 0, 6, 0, 0, 6, 6, 6, 0, 0, 6, 0, 0, 0], [0, 0, 6, 0, 6, 6, 0, 0, 6, 0, 0, 0, 0, 6, 6, 6, 0, 6, 0, 6], [0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 6, 0, 0, 6, 6, 0], [6, 0, 6, 6, 0, 6, 0, 6, 6, 6, 6, 0, 6, 6, 0, 0, 0, 0, 0, 6], [6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 6, 0, 0, 0, 6, 0, 0, 0, 0], [6, 0, 0, 0, 6, 6, 0, 0, 6, 0, 0, 0, 0, 6, 0, 6, 0, 6, 0, 6], [6, 0, 6, 6, 6, 6, 6, 0, 0, 0, 6, 6, 0, 6, 6, 6, 0, 6, 0, 6], [6, 6, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 7, 0, 7, 0], [0, 7, 0, 0, 7, 0, 0, 7, 0, 7, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7], [7, 7, 0, 7, 7, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 7], [7, 7, 7, 7, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0, 7], [7, 0, 7, 7, 7, 0, 7, 0, 7, 7, 7, 7, 0, 7, 7, 0, 7, 0, 7, 0], [7, 7, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 0, 0, 0, 7, 0, 0, 7, 7], [7, 0, 7, 7, 0, 7, 7, 0, 0, 7, 0, 0, 0, 7, 7, 7, 7, 7, 0, 7], [0, 0, 7, 7, 0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 7, 7, 0, 7, 7, 0], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 7, 0, 0, 0, 7, 7], [0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 7, 7, 0, 7], [7, 7, 7, 7, 7, 0, 7, 7, 7, 0, 7, 7, 0, 7, 0, 0, 0, 0, 7, 0], [0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0, 0], [7, 0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 7, 7, 7, 0, 0, 7, 0, 0, 0], [0, 0, 7, 0, 7, 7, 0, 0, 7, 0, 0, 0, 0, 7, 7, 7, 0, 7, 0, 7], [0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 7, 0, 0, 7, 7, 0], [7, 0, 7, 7, 0, 7, 0, 7, 7, 7, 7, 0, 7, 7, 0, 0, 0, 0, 0, 7], [7, 7, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0], [7, 0, 0, 0, 7, 7, 0, 0, 7, 0, 0, 0, 0, 7, 0, 7, 0, 7, 0, 7], [7, 0, 7, 7, 7, 7, 7, 0, 0, 0, 7, 7, 0, 7, 7, 7, 0, 7, 0, 7], [7, 7, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 5, 0, 0, 5, 0, 5, 0, 5, 5, 0, 0, 5, 0, 5, 0, 5, 5, 5, 5], [5, 5, 0, 0, 0, 5, 0, 5, 5, 5, 0, 5, 5, 0, 5, 5, 5, 5, 5, 0], [0, 0, 0, 5, 0, 5, 5, 5, 0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 5, 0], [5, 5, 5, 5, 5, 0, 5, 5, 5, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 5], [0, 5, 0, 0, 5, 5, 0, 5, 5, 5, 0, 0, 5, 0, 5, 0, 5, 0, 5, 5], [0, 0, 5, 5, 0, 0, 0, 0, 5, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 5], [5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 0, 5, 5, 5, 5, 0, 5, 0, 5, 5], [0, 0, 5, 5, 5, 0, 5, 5, 5, 0, 0, 0, 0, 0, 5, 5, 0, 5, 0, 0], [0, 5, 5, 5, 5, 5, 0, 5, 0, 0, 0, 0, 5, 5, 0, 5, 5, 0, 5, 5], [0, 0, 5, 5, 0, 5, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 5, 5, 5, 0], [0, 0, 5, 5, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 5, 0, 0, 5, 0, 5], [5, 5, 5, 5, 0, 5, 5, 0, 0, 5, 0, 5, 5, 5, 5, 0, 0, 5, 0, 5], [5, 5, 0, 5, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 0, 0, 5, 5, 0], [5, 5, 5, 5, 5, 0, 5, 0, 5, 5, 5, 0, 0, 0, 0, 5, 5, 5, 5, 0], [5, 0, 0, 0, 5, 5, 5, 5, 0, 5, 0, 5, 0, 5, 5, 0, 0, 0, 0, 5], [0, 0, 5, 0, 0, 5, 0, 0, 0, 5, 5, 5, 0, 0, 5, 0, 5, 0, 0, 0], [0, 0, 5, 5, 0, 5, 5, 5, 5, 0, 0, 5, 5, 5, 5, 5, 0, 5, 0, 5], [5, 0, 0, 5, 5, 0, 5, 5, 0, 5, 0, 5, 0, 0, 0, 0, 5, 0, 5, 5], [0, 5, 5, 0, 5, 0, 0, 0, 0, 0, 5, 0, 5, 0, 5, 0, 0, 0, 5, 0], [5, 5, 0, 0, 5, 0, 0, 5, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0], [9, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 0, 0, 0, 9], [0, 0, 9, 9, 0, 0, 9, 0, 0, 0, 9, 9, 9, 9, 9, 0, 9, 9, 0, 0], [9, 9, 0, 9, 9, 9, 9, 0, 9, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 9], [0, 0, 0, 9, 9, 0, 0, 9, 9, 0, 9, 9, 9, 0, 9, 9, 9, 0, 9, 9], [0, 9, 9, 9, 9, 9, 9, 0, 0, 9, 0, 9, 0, 0, 9, 0, 9, 9, 9, 0], [9, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 9, 9, 0, 9], [9, 0, 0, 0, 0, 0, 9, 0, 0, 9, 0, 0, 0, 9, 0, 9, 0, 9, 0, 9], [0, 0, 9, 0, 0, 9, 0, 9, 9, 9, 0, 9, 9, 9, 0, 9, 0, 9, 9, 9], [0, 0, 0, 9, 9, 9, 0, 9, 9, 9, 9, 0, 0, 9, 9, 9, 9, 0, 0, 0], [9, 0, 0, 0, 9, 9, 0, 0, 9, 9, 9, 0, 0, 0, 0, 9, 0, 0, 0, 9], [9, 0, 0, 9, 9, 9, 0, 9, 9, 9, 9, 9, 0, 0, 9, 0, 9, 0, 0, 0], [9, 9, 0, 9, 9, 0, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0, 0, 0, 9, 0], [9, 9, 9, 9, 9, 0, 9, 9, 9, 0, 0, 0, 0, 0, 9, 9, 9, 9, 9, 9], [9, 9, 9, 0, 0, 0, 9, 9, 9, 0, 0, 9, 9, 0, 9, 0, 0, 9, 0, 9], [0, 9, 9, 0, 9, 9, 9, 0, 0, 9, 9, 0, 9, 9, 9, 9, 0, 9, 9, 9], [9, 0, 9, 0, 9, 9, 9, 0, 9, 0, 9, 9, 0, 0, 9, 9, 0, 9, 9, 0], [0, 9, 0, 9, 0, 0, 9, 9, 9, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 0], [0, 9, 9, 9, 9, 9, 9, 0, 0, 9, 9, 9, 0, 9, 9, 0, 9, 9, 0, 0], [0, 9, 0, 9, 9, 9, 0, 0, 9, 9, 0, 9, 9, 0, 9, 0, 0, 9, 0, 9], [9, 9, 9, 0, 9, 0, 0, 9, 9, 0, 0, 9, 0, 0, 0, 0, 0, 9, 9, 0], [6, 0, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 0, 6, 6], [0, 0, 6, 0, 0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 0], [0, 0, 6, 0, 0, 6, 0, 6, 0, 0, 0, 6, 6, 0, 6, 0, 6, 6, 6, 0], [6, 0, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0], [6, 6, 0, 6, 6, 0, 6, 0, 6, 6, 0, 0, 0, 0, 6, 0, 6, 6, 0, 0], [0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 6, 6, 0, 0, 0, 6, 0, 0, 0, 0], [0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6], [6, 6, 0, 6, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 6, 0, 6, 0], [6, 6, 6, 0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 6], [6, 0, 0, 6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 6, 0, 0, 6, 6], [0, 0, 6, 6, 6, 6, 6, 0, 0, 0, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6], [0, 0, 6, 6, 6, 6, 0, 6, 0, 0, 6, 6, 6, 6, 6, 0, 0, 6, 6, 6], [6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 0, 6, 0, 6, 6], [0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 6, 0], [0, 6, 0, 6, 6, 0, 0, 0, 6, 6, 6, 0, 6, 6, 6, 6, 0, 6, 0, 0], [6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 6, 0, 6, 0, 0, 6, 0, 0, 0, 6], [0, 0, 0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 6, 0, 0], [0, 0, 6, 0, 0, 0, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 0, 6, 6, 0], [0, 0, 6, 0, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 0, 6, 0, 6], [6, 0, 0, 0, 6, 0, 0, 6, 6, 0, 6, 6, 6, 6, 0, 6, 6, 0, 6, 6]] -> [[7, 0, 7, 0, 0, 0, 0, 0, 7, 7, 0, 0, 7, 7, 7, 0, 7, 0, 7, 7], [0, 0, 7, 0, 0, 7, 7, 0, 0, 7, 7, 0, 7, 0, 7, 7, 0, 0, 7, 0], [0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0, 7, 7, 0, 7, 0, 7, 7, 7, 0], [7, 0, 7, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7, 0, 0, 0], [0, 7, 0, 7, 7, 0, 7, 0, 7, 7, 0, 0, 0, 0, 7, 0, 7, 7, 0, 0], [0, 0, 7, 7, 0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0], [0, 0, 0, 7, 0, 7, 0, 0, 0, 0, 0, 0, 7, 0, 7, 7, 7, 7, 7, 7], [0, 0, 0, 7, 0, 7, 0, 0, 7, 0, 0, 7, 0, 0, 7, 0, 0, 0, 7, 0], [0, 7, 7, 0, 0, 7, 0, 7, 7, 0, 7, 0, 7, 7, 7, 7, 0, 0, 7, 7], [7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 7, 0, 0, 7, 7], [0, 0, 7, 7, 7, 7, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0, 7], [0, 0, 7, 7, 7, 7, 0, 7, 0, 0, 7, 7, 7, 7, 7, 0, 0, 7, 7, 7], [7, 7, 7, 7, 0, 0, 7, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7], [0, 7, 7, 7, 7, 0, 7, 0, 7, 7, 0, 7, 7, 0, 0, 7, 7, 0, 7, 0], [0, 7, 0, 0, 7, 0, 0, 0, 0, 7, 7, 0, 7, 7, 7, 7, 0, 7, 0, 0], [7, 0, 7, 0, 0, 0, 7, 0, 7, 7, 7, 0, 0, 0, 0, 7, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 7, 0, 0], [0, 0, 7, 0, 0, 0, 7, 0, 0, 7, 7, 7, 0, 0, 7, 0, 0, 7, 7, 0], [0, 0, 7, 0, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0, 7, 0, 0, 7, 0, 7], [7, 0, 0, 0, 7, 0, 0, 7, 7, 0, 7, 7, 7, 7, 0, 7, 7, 0, 7, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 5, 0, 0, 5, 0, 5, 0, 5, 5, 0, 0, 5, 0, 5, 0, 5, 5, 5, 5], [5, 5, 0, 0, 0, 5, 0, 5, 5, 5, 0, 5, 5, 0, 5, 5, 5, 5, 5, 0], [0, 0, 0, 5, 0, 5, 5, 5, 0, 0, 0, 5, 5, 0, 0, 0, 5, 5, 5, 0], [5, 5, 5, 5, 5, 0, 5, 5, 5, 0, 5, 0, 5, 0, 0, 5, 0, 5, 0, 5], [0, 5, 0, 0, 5, 5, 0, 5, 5, 5, 0, 0, 5, 0, 5, 0, 5, 0, 5, 5], [0, 0, 5, 5, 0, 0, 0, 0, 5, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 5], [5, 0, 5, 5, 5, 5, 5, 0, 5, 0, 0, 5, 5, 5, 5, 0, 5, 0, 5, 5], [0, 0, 5, 5, 5, 0, 5, 5, 5, 0, 0, 0, 0, 0, 5, 5, 0, 5, 0, 0], [0, 5, 5, 5, 5, 5, 0, 5, 0, 0, 0, 0, 5, 5, 0, 5, 5, 0, 5, 5], [0, 0, 5, 5, 0, 5, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 5, 5, 5, 0], [0, 0, 5, 5, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 5, 0, 0, 5, 0, 5], [5, 5, 5, 5, 0, 5, 5, 0, 0, 5, 0, 5, 5, 5, 5, 0, 0, 5, 0, 5], [5, 5, 0, 5, 0, 0, 0, 0, 5, 5, 5, 0, 5, 5, 5, 0, 0, 5, 5, 0], [5, 5, 5, 5, 5, 0, 5, 0, 5, 5, 5, 0, 0, 0, 0, 5, 5, 5, 5, 0], [5, 0, 0, 0, 5, 5, 5, 5, 0, 5, 0, 5, 0, 5, 5, 0, 0, 0, 0, 5], [0, 0, 5, 0, 0, 5, 0, 0, 0, 5, 5, 5, 0, 0, 5, 0, 5, 0, 0, 0], [0, 0, 5, 5, 0, 5, 5, 5, 5, 0, 0, 5, 5, 5, 5, 5, 0, 5, 0, 5], [5, 0, 0, 5, 5, 0, 5, 5, 0, 5, 0, 5, 0, 0, 0, 0, 5, 0, 5, 5], [0, 5, 5, 0, 5, 0, 0, 0, 0, 0, 5, 0, 5, 0, 5, 0, 0, 0, 5, 0], [5, 5, 0, 0, 5, 0, 0, 5, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0], [4, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 4], [0, 0, 4, 4, 0, 0, 4, 0, 0, 0, 4, 4, 4, 4, 4, 0, 4, 4, 0, 0], [4, 4, 0, 4, 4, 4, 4, 0, 4, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 4], [0, 0, 0, 4, 4, 0, 0, 4, 4, 0, 4, 4, 4, 0, 4, 4, 4, 0, 4, 4], [0, 4, 4, 4, 4, 4, 4, 0, 0, 4, 0, 4, 0, 0, 4, 0, 4, 4, 4, 0], [4, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 0, 4], [4, 0, 0, 0, 0, 0, 4, 0, 0, 4, 0, 0, 0, 4, 0, 4, 0, 4, 0, 4], [0, 0, 4, 0, 0, 4, 0, 4, 4, 4, 0, 4, 4, 4, 0, 4, 0, 4, 4, 4], [0, 0, 0, 4, 4, 4, 0, 4, 4, 4, 4, 0, 0, 4, 4, 4, 4, 0, 0, 0], [4, 0, 0, 0, 4, 4, 0, 0, 4, 4, 4, 0, 0, 0, 0, 4, 0, 0, 0, 4], [4, 0, 0, 4, 4, 4, 0, 4, 4, 4, 4, 4, 0, 0, 4, 0, 4, 0, 0, 0], [4, 4, 0, 4, 4, 0, 4, 4, 4, 4, 4, 0, 4, 0, 0, 0, 0, 0, 4, 0], [4, 4, 4, 4, 4, 0, 4, 4, 4, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4], [4, 4, 4, 0, 0, 0, 4, 4, 4, 0, 0, 4, 4, 0, 4, 0, 0, 4, 0, 4], [0, 4, 4, 0, 4, 4, 4, 0, 0, 4, 4, 0, 4, 4, 4, 4, 0, 4, 4, 4], [4, 0, 4, 0, 4, 4, 4, 0, 4, 0, 4, 4, 0, 0, 4, 4, 0, 4, 4, 0], [0, 4, 0, 4, 0, 0, 4, 4, 4, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 0], [0, 4, 4, 4, 4, 4, 4, 0, 0, 4, 4, 4, 0, 4, 4, 0, 4, 4, 0, 0], [0, 4, 0, 4, 4, 4, 0, 0, 4, 4, 0, 4, 4, 0, 4, 0, 0, 4, 0, 4], [4, 4, 4, 0, 4, 0, 0, 4, 4, 0, 0, 4, 0, 0, 0, 0, 0, 4, 4, 0], [6, 0, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 0, 6, 6], [0, 0, 6, 0, 0, 6, 6, 0, 0, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 0], [0, 0, 6, 0, 0, 6, 0, 6, 0, 0, 0, 6, 6, 0, 6, 0, 6, 6, 6, 0], [6, 0, 6, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0], [6, 6, 0, 6, 6, 0, 6, 0, 6, 6, 0, 0, 0, 0, 6, 0, 6, 6, 0, 0], [0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 6, 6, 0, 0, 0, 6, 0, 0, 0, 0], [0, 6, 0, 6, 0, 6, 0, 6, 0, 0, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6], [6, 6, 0, 6, 0, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 0, 6, 0, 6, 0], [6, 6, 6, 0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 6], [6, 0, 0, 6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 6, 0, 0, 6, 6], [0, 0, 6, 6, 6, 6, 6, 0, 0, 0, 0, 6, 6, 0, 0, 6, 0, 6, 0, 6], [0, 0, 6, 6, 6, 6, 0, 6, 0, 0, 6, 6, 6, 6, 6, 0, 0, 6, 6, 6], [6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 0, 6, 0, 6, 6], [0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 0, 6, 6, 6, 0, 6, 6, 0, 6, 0], [0, 6, 0, 6, 6, 0, 0, 0, 6, 6, 6, 0, 6, 6, 6, 6, 0, 6, 0, 0], [6, 0, 6, 6, 0, 0, 6, 6, 6, 6, 6, 0, 6, 0, 0, 6, 0, 0, 0, 6], [0, 0, 0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 6, 0, 6, 0, 6, 0, 0], [0, 0, 6, 0, 0, 0, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0, 0, 6, 6, 0], [0, 0, 6, 0, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 0, 6, 0, 6], [6, 0, 0, 0, 6, 0, 0, 6, 6, 0, 6, 6, 6, 6, 0, 6, 6, 0, 6, 6]] -> ",
+                "test": {
+                    "input": [
+                        [
+                            0,
+                            5,
+                            0,
+                            0,
+                            5,
+                            0,
+                            5,
+                            0,
+                            5,
+                            5,
+                            0,
+                            0,
+                            5,
+                            0,
+                            5,
+                            0,
+                            5,
+                            5,
+                            5,
+                            5
+                        ],
+                        [
+                            5,
+                            5,
+                            0,
+                            0,
+                            0,
+                            5,
+                            0,
+                            5,
+                            5,
+                            5,
+                            0,
+                            5,
+                            5,
+                            0,
+                            5,
+                            5,
+                            5,
+                            5,
+                            5,
+                            0
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+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            0,
+                            6,
+                            0,
+                            6,
+                            6,
+                            6,
+                            6,
+                            0,
+                            0,
+                            6,
+                            0,
+                            0,
+                            6,
+                            6,
+                            0
+                        ],
+                        [
+                            0,
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+                            6,
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+                            6,
+                            6,
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+                            6,
+                            6,
+                            6,
+                            6,
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+                            0,
+                            6
+                        ],
+                        [
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+                            0,
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+                            6,
+                            0,
+                            6,
+                            6,
+                            0,
+                            6,
+                            6
+                        ]
+                    ],
+                    "output": [
+                        [
+                            7,
+                            0,
+                            7,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            7,
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+                            7,
+                            7,
+                            7,
+                            0,
+                            7,
+                            0,
+                            7,
+                            7
+                        ],
+                        [
+                            0,
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+                            7,
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+                            7,
+                            7,
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+                            0,
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+                            7,
+                            0,
+                            7,
+                            0,
+                            7,
+                            7,
+                            0,
+                            0,
+                            7,
+                            0
+                        ],
+                        [
+                            0,
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+                            0,
+                            0,
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+                            7,
+                            0,
+                            7,
+                            0,
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+                            7,
+                            7,
+                            0,
+                            7,
+                            0,
+                            7,
+                            7,
+                            7,
+                            0
+                        ],
+                        [
+                            7,
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+                            7,
+                            0,
+                            7,
+                            0,
+                            7,
+                            0,
+                            0,
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+                            0,
+                            0,
+                            7,
+                            0,
+                            7,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
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+                            7,
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+                            0,
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+                        ],
+                        [
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+                            0,
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+                            0,
+                            0,
+                            0,
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+                        ],
+                        [
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+                            7,
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+                            7,
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+                        ],
+                        [
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+                            0,
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+                        [
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+                        [
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+                        [
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+                        [
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+                            7,
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+                            7,
+                            7
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+                        [
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+                        [
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+                        [
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+                        ],
+                        [
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+                        ],
+                        [
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+                        [
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+                            0,
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+                            0,
+                            0,
+                            7,
+                            7,
+                            0
+                        ],
+                        [
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+                            0,
+                            7,
+                            7,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            7,
+                            7,
+                            0,
+                            7,
+                            0,
+                            0,
+                            7,
+                            0,
+                            7
+                        ],
+                        [
+                            7,
+                            0,
+                            0,
+                            0,
+                            7,
+                            0,
+                            0,
+                            7,
+                            7,
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+                            7,
+                            7,
+                            7,
+                            0,
+                            7,
+                            7,
+                            0,
+                            7,
+                            0
+                        ]
+                    ]
+                }
+            }
+        }
+    }
+}
\ No newline at end of file
diff --git a/prompts/program_synthesis/program_synthesis_nexamples4_prompts.json b/prompts/program_synthesis/program_synthesis_nexamples4_prompts.json
new file mode 100644
index 0000000000000000000000000000000000000000..c51050416e2aed89469014c93c749f93bb946c62
--- /dev/null
+++ b/prompts/program_synthesis/program_synthesis_nexamples4_prompts.json
@@ -0,0 +1,66 @@
+{
+    "SCMm5ob": {
+        "L1": {
+            "Replicate 0": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 8, 0, 0, 0, 0, 7, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 8, 0, 0, 0, 0, 0, 0, 0, 2], [7, 7, 0, 7, 0, 0, 0, 2, 0, 0], [8, 0, 0, 0, 0, 0, 8, 0, 0, 0], [0, 8, 0, 0, 3, 0, 0, 0, 0, 3], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 3, 7, 0, 0, 0, 0, 8], [0, 0, 0, 3, 0, 0, 0, 2, 0, 0], [2, 0, 2, 7, 3, 8, 0, 0, 0, 0]] -> [[0, 8, 2, 0], [7, 8, 2, 0], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3]]\nExample input-output arrays:\n[[0, 0, 0, 7, 0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 8, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 0, 0], [0, 0, 2, 0, 0, 0, 0, 7, 3, 0], [0, 3, 7, 0, 0, 0, 2, 2, 0, 2], [7, 0, 0, 8, 2, 0, 0, 8, 8, 0], [7, 0, 0, 7, 7, 0, 0, 7, 0, 8], [0, 0, 0, 0, 0, 0, 0, 8, 0, 0], [0, 0, 2, 0, 7, 0, 0, 8, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 2]] -> [[7, 0, 2, 0], [7, 0, 2, 0], [7, 8, 2, 0], [7, 8, 2, 0], [7, 8, 2, 0], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 7, 0], [0, 0, 2, 0, 0, 0, 0, 0, 3, 0], [0, 0, 3, 0, 8, 0, 7, 0, 0, 0], [8, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 0, 3, 0, 0, 7, 0, 0, 0], [2, 0, 0, 0, 2, 7, 3, 0, 0, 0], [0, 0, 0, 2, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 7, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]] -> [[0, 0, 2, 0], [7, 0, 2, 3], [7, 0, 2, 3], [7, 0, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3]]\nExample input-output arrays:\n[[0, 0, 0, 7, 0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 8, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 0, 0], [0, 0, 2, 0, 0, 0, 0, 7, 3, 0], [0, 3, 7, 0, 0, 0, 2, 2, 0, 2], [7, 0, 0, 8, 2, 0, 0, 8, 8, 0], [7, 0, 0, 7, 7, 0, 0, 7, 0, 8], [0, 0, 0, 0, 0, 0, 0, 8, 0, 0], [0, 0, 2, 0, 7, 0, 0, 8, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 2]] -> [[7, 0, 2, 0], [7, 0, 2, 0], [7, 8, 2, 0], [7, 8, 2, 0], [7, 8, 2, 0], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3]]\n",
+            "Replicate 1": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 0, 7, 0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 8, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 0, 0], [0, 0, 2, 0, 0, 0, 0, 7, 3, 0], [0, 3, 7, 0, 0, 0, 2, 2, 0, 2], [7, 0, 0, 8, 2, 0, 0, 8, 8, 0], [7, 0, 0, 7, 7, 0, 0, 7, 0, 8], [0, 0, 0, 0, 0, 0, 0, 8, 0, 0], [0, 0, 2, 0, 7, 0, 0, 8, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 2]] -> [[7, 0, 2, 0], [7, 0, 2, 0], [7, 8, 2, 0], [7, 8, 2, 0], [7, 8, 2, 0], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3]]\nExample input-output arrays:\n[[0, 0, 0, 7, 0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 8, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 0, 0], [0, 0, 2, 0, 0, 0, 0, 7, 3, 0], [0, 3, 7, 0, 0, 0, 2, 2, 0, 2], [7, 0, 0, 8, 2, 0, 0, 8, 8, 0], [7, 0, 0, 7, 7, 0, 0, 7, 0, 8], [0, 0, 0, 0, 0, 0, 0, 8, 0, 0], [0, 0, 2, 0, 7, 0, 0, 8, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 2]] -> [[7, 0, 2, 0], [7, 0, 2, 0], [7, 8, 2, 0], [7, 8, 2, 0], [7, 8, 2, 0], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3]]\nExample input-output arrays:\n[[0, 0, 3, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 0, 7, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 3, 0, 0, 0, 0], [0, 0, 3, 0, 0, 8, 0, 0, 0, 2], [3, 0, 0, 0, 0, 0, 3, 3, 0, 0], [0, 0, 0, 0, 0, 3, 2, 0, 0, 0], [0, 0, 8, 0, 2, 8, 3, 3, 0, 0], [7, 0, 0, 8, 0, 2, 2, 0, 0, 0], [0, 0, 8, 0, 3, 7, 7, 7, 0, 0]] -> [[0, 0, 0, 3], [0, 0, 0, 3], [0, 0, 0, 3], [0, 0, 0, 3], [0, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3]]\nExample input-output arrays:\n[[0, 8, 0, 0, 0, 0, 7, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 8, 0, 0, 0, 0, 0, 0, 0, 2], [7, 7, 0, 7, 0, 0, 0, 2, 0, 0], [8, 0, 0, 0, 0, 0, 8, 0, 0, 0], [0, 8, 0, 0, 3, 0, 0, 0, 0, 3], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 3, 7, 0, 0, 0, 0, 8], [0, 0, 0, 3, 0, 0, 0, 2, 0, 0], [2, 0, 2, 7, 3, 8, 0, 0, 0, 0]] -> [[0, 8, 2, 0], [7, 8, 2, 0], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3]]\n",
+            "Replicate 2": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 3, 8, 7], [0, 0, 2, 0, 0, 0, 0, 0, 8, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 3], [2, 0, 0, 0, 0, 0, 0, 0, 8, 0], [0, 0, 3, 0, 0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 8, 8, 0], [0, 0, 0, 0, 0, 0, 8, 8, 0, 0], [7, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 7, 0], [0, 0, 3, 2, 0, 0, 0, 0, 7, 0]] -> [[0, 8, 0, 0], [0, 8, 0, 3], [0, 8, 0, 3], [7, 8, 0, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 7, 0], [0, 0, 2, 0, 0, 0, 0, 0, 3, 0], [0, 0, 3, 0, 8, 0, 7, 0, 0, 0], [8, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 0, 3, 0, 0, 7, 0, 0, 0], [2, 0, 0, 0, 2, 7, 3, 0, 0, 0], [0, 0, 0, 2, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 7, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]] -> [[0, 0, 2, 0], [7, 0, 2, 3], [7, 0, 2, 3], [7, 0, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3]]\nExample input-output arrays:\n[[0, 0, 0, 7, 0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 8, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 0, 0], [0, 0, 2, 0, 0, 0, 0, 7, 3, 0], [0, 3, 7, 0, 0, 0, 2, 2, 0, 2], [7, 0, 0, 8, 2, 0, 0, 8, 8, 0], [7, 0, 0, 7, 7, 0, 0, 7, 0, 8], [0, 0, 0, 0, 0, 0, 0, 8, 0, 0], [0, 0, 2, 0, 7, 0, 0, 8, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 2]] -> [[7, 0, 2, 0], [7, 0, 2, 0], [7, 8, 2, 0], [7, 8, 2, 0], [7, 8, 2, 0], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3]]\nExample input-output arrays:\n[[8, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 0, 0, 3, 0], [7, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 3, 0, 0, 0], [7, 0, 0, 0, 3, 0, 7, 0, 0, 0], [0, 0, 0, 0, 2, 0, 7, 0, 0, 0], [7, 0, 0, 0, 8, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 8, 8], [0, 7, 3, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[7, 0, 0, 0], [7, 0, 0, 0], [7, 0, 0, 0], [7, 8, 0, 0], [7, 8, 0, 3], [7, 8, 0, 3], [7, 8, 2, 3], [7, 8, 2, 3]]\n",
+            "Replicate 3": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 0, 7, 0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 8, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 0, 0], [0, 0, 2, 0, 0, 0, 0, 7, 3, 0], [0, 3, 7, 0, 0, 0, 2, 2, 0, 2], [7, 0, 0, 8, 2, 0, 0, 8, 8, 0], [7, 0, 0, 7, 7, 0, 0, 7, 0, 8], [0, 0, 0, 0, 0, 0, 0, 8, 0, 0], [0, 0, 2, 0, 7, 0, 0, 8, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 2]] -> [[7, 0, 2, 0], [7, 0, 2, 0], [7, 8, 2, 0], [7, 8, 2, 0], [7, 8, 2, 0], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 7, 0], [0, 0, 2, 0, 0, 0, 0, 0, 3, 0], [0, 0, 3, 0, 8, 0, 7, 0, 0, 0], [8, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 0, 3, 0, 0, 7, 0, 0, 0], [2, 0, 0, 0, 2, 7, 3, 0, 0, 0], [0, 0, 0, 2, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 7, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]] -> [[0, 0, 2, 0], [7, 0, 2, 3], [7, 0, 2, 3], [7, 0, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 8, 2, 0, 0], [0, 0, 0, 0, 0, 0, 7, 7, 0, 0], [0, 0, 0, 2, 8, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0, 2, 0], [7, 8, 0, 0, 7, 0, 0, 0, 0, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2], [0, 0, 0, 0, 0, 0, 0, 2, 0, 0], [0, 0, 0, 7, 0, 0, 0, 0, 0, 0], [0, 2, 8, 0, 2, 0, 0, 3, 8, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 7]] -> [[0, 0, 2, 0], [0, 0, 2, 0], [0, 0, 2, 0], [7, 0, 2, 0], [7, 8, 2, 0], [7, 8, 2, 0], [7, 8, 2, 0], [7, 8, 2, 3], [7, 8, 2, 3]]\nExample input-output arrays:\n[[0, 0, 0, 7, 0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 8, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 0, 0], [0, 0, 2, 0, 0, 0, 0, 7, 3, 0], [0, 3, 7, 0, 0, 0, 2, 2, 0, 2], [7, 0, 0, 8, 2, 0, 0, 8, 8, 0], [7, 0, 0, 7, 7, 0, 0, 7, 0, 8], [0, 0, 0, 0, 0, 0, 0, 8, 0, 0], [0, 0, 2, 0, 7, 0, 0, 8, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 2]] -> [[7, 0, 2, 0], [7, 0, 2, 0], [7, 8, 2, 0], [7, 8, 2, 0], [7, 8, 2, 0], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3]]\n",
+            "Replicate 4": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 3, 8, 7], [0, 0, 2, 0, 0, 0, 0, 0, 8, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 3], [2, 0, 0, 0, 0, 0, 0, 0, 8, 0], [0, 0, 3, 0, 0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 8, 8, 0], [0, 0, 0, 0, 0, 0, 8, 8, 0, 0], [7, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 7, 0], [0, 0, 3, 2, 0, 0, 0, 0, 7, 0]] -> [[0, 8, 0, 0], [0, 8, 0, 3], [0, 8, 0, 3], [7, 8, 0, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 3, 8, 7], [0, 0, 2, 0, 0, 0, 0, 0, 8, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 3], [2, 0, 0, 0, 0, 0, 0, 0, 8, 0], [0, 0, 3, 0, 0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 8, 8, 0], [0, 0, 0, 0, 0, 0, 8, 8, 0, 0], [7, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 7, 0], [0, 0, 3, 2, 0, 0, 0, 0, 7, 0]] -> [[0, 8, 0, 0], [0, 8, 0, 3], [0, 8, 0, 3], [7, 8, 0, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3]]\nExample input-output arrays:\n[[0, 8, 0, 0, 0, 0, 7, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 8, 0, 0, 0, 0, 0, 0, 0, 2], [7, 7, 0, 7, 0, 0, 0, 2, 0, 0], [8, 0, 0, 0, 0, 0, 8, 0, 0, 0], [0, 8, 0, 0, 3, 0, 0, 0, 0, 3], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 3, 7, 0, 0, 0, 0, 8], [0, 0, 0, 3, 0, 0, 0, 2, 0, 0], [2, 0, 2, 7, 3, 8, 0, 0, 0, 0]] -> [[0, 8, 2, 0], [7, 8, 2, 0], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3]]\nExample input-output arrays:\n[[0, 0, 3, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 0, 7, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 3, 0, 0, 0, 0], [0, 0, 3, 0, 0, 8, 0, 0, 0, 2], [3, 0, 0, 0, 0, 0, 3, 3, 0, 0], [0, 0, 0, 0, 0, 3, 2, 0, 0, 0], [0, 0, 8, 0, 2, 8, 3, 3, 0, 0], [7, 0, 0, 8, 0, 2, 2, 0, 0, 0], [0, 0, 8, 0, 3, 7, 7, 7, 0, 0]] -> [[0, 0, 0, 3], [0, 0, 0, 3], [0, 0, 0, 3], [0, 0, 0, 3], [0, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3]]\n"
+        },
+        "L3": {
+            "Replicate 0": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 0, 7, 0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 8, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 0, 0], [0, 0, 2, 0, 0, 0, 0, 7, 3, 0], [0, 3, 7, 0, 0, 0, 2, 2, 0, 2], [7, 0, 0, 8, 2, 0, 0, 8, 8, 0], [7, 0, 0, 7, 7, 0, 0, 7, 0, 8], [0, 0, 0, 0, 0, 0, 0, 8, 0, 0], [0, 0, 2, 0, 7, 0, 0, 8, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 2]] -> [[7, 0, 2, 0], [7, 0, 2, 0], [7, 8, 2, 0], [7, 8, 2, 0], [7, 8, 2, 0], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3]]\nCounterfactual: Now imagine that we intervened on the previous input by rotating or flipping it.\n[[0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 3, 0, 3, 0, 7], [0, 0, 0, 0, 0, 3, 2, 3, 2, 7], [0, 0, 0, 3, 8, 0, 3, 8, 2, 7], [0, 0, 0, 0, 0, 0, 0, 2, 0, 3], [0, 8, 0, 0, 0, 0, 0, 0, 8, 0], [3, 0, 0, 0, 3, 0, 0, 8, 0, 8], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 3, 0, 0, 7, 0]] -> [[0, 0, 0, 3], [0, 0, 0, 3], [0, 0, 0, 3], [0, 0, 0, 3], [0, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 7, 0], [0, 0, 2, 0, 0, 0, 0, 0, 3, 0], [0, 0, 3, 0, 8, 0, 7, 0, 0, 0], [8, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 0, 3, 0, 0, 7, 0, 0, 0], [2, 0, 0, 0, 2, 7, 3, 0, 0, 0], [0, 0, 0, 2, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 7, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]] -> [[0, 0, 2, 0], [7, 0, 2, 3], [7, 0, 2, 3], [7, 0, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 3, 0, 7, 0, 0, 0, 3], [0, 0, 0, 2, 2, 0, 7, 0, 3, 0], [0, 2, 7, 0, 0, 0, 0, 2, 0, 0], [0, 0, 3, 0, 0, 0, 0, 3, 0, 3], [0, 7, 0, 0, 2, 0, 7, 7, 7, 0], [7, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 3, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 7, 2, 0, 0, 0, 0, 0, 0]] -> [[7, 0, 0, 0], [7, 0, 0, 0], [7, 0, 0, 0], [7, 0, 0, 3], [7, 0, 2, 3], [7, 0, 2, 3], [7, 0, 2, 3], [7, 0, 2, 3], [7, 0, 2, 3], [7, 0, 2, 3]]\n",
+            "Replicate 1": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 3, 8, 7], [0, 0, 2, 0, 0, 0, 0, 0, 8, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 3], [2, 0, 0, 0, 0, 0, 0, 0, 8, 0], [0, 0, 3, 0, 0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 8, 8, 0], [0, 0, 0, 0, 0, 0, 8, 8, 0, 0], [7, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 7, 0], [0, 0, 3, 2, 0, 0, 0, 0, 7, 0]] -> [[0, 8, 0, 0], [0, 8, 0, 3], [0, 8, 0, 3], [7, 8, 0, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[9, 9, 3, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 8, 9, 9, 9, 7, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [2, 9, 9, 9, 9, 3, 9, 9, 9, 9], [9, 9, 3, 9, 9, 8, 9, 9, 9, 2], [3, 9, 9, 9, 9, 9, 3, 3, 9, 9], [9, 9, 9, 9, 9, 3, 2, 9, 9, 9], [9, 9, 8, 9, 2, 8, 3, 3, 9, 9], [7, 9, 9, 8, 9, 2, 2, 9, 9, 9], [9, 9, 8, 9, 3, 7, 7, 7, 9, 9]] -> [[9, 9, 9, 3], [9, 9, 9, 3], [9, 9, 9, 3], [9, 9, 9, 3], [9, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 7, 0], [0, 0, 2, 0, 0, 0, 0, 0, 3, 0], [0, 0, 3, 0, 8, 0, 7, 0, 0, 0], [8, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 0, 3, 0, 0, 7, 0, 0, 0], [2, 0, 0, 0, 2, 7, 3, 0, 0, 0], [0, 0, 0, 2, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 7, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]] -> [[0, 0, 2, 0], [7, 0, 2, 3], [7, 0, 2, 3], [7, 0, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 3, 0, 7, 0, 0, 0, 3], [0, 0, 0, 0, 0, 0, 7, 0, 3, 0], [0, 0, 7, 0, 0, 8, 0, 0, 0, 0], [0, 0, 3, 0, 0, 0, 8, 3, 0, 3], [0, 7, 0, 0, 0, 0, 7, 7, 7, 0], [7, 0, 0, 0, 0, 0, 0, 8, 0, 0], [0, 8, 0, 3, 0, 0, 0, 0, 0, 0], [0, 0, 8, 0, 0, 0, 0, 7, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 7, 0, 0, 0, 0, 0, 0, 0]] -> [[7, 0, 0, 0], [7, 0, 0, 0], [7, 0, 0, 0], [7, 0, 0, 3], [7, 0, 0, 3], [7, 8, 0, 3], [7, 8, 0, 3], [7, 8, 0, 3], [7, 8, 0, 3], [7, 8, 0, 3]]\n",
+            "Replicate 2": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 3, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 0, 7, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 3, 0, 0, 0, 0], [0, 0, 3, 0, 0, 8, 0, 0, 0, 2], [3, 0, 0, 0, 0, 0, 3, 3, 0, 0], [0, 0, 0, 0, 0, 3, 2, 0, 0, 0], [0, 0, 8, 0, 2, 8, 3, 3, 0, 0], [7, 0, 0, 8, 0, 2, 2, 0, 0, 0], [0, 0, 8, 0, 3, 7, 7, 7, 0, 0]] -> [[0, 0, 0, 3], [0, 0, 0, 3], [0, 0, 0, 3], [0, 0, 0, 3], [0, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3]]\nCounterfactual: Now imagine that we intervened on the previous input by rotating or flipping it.\n[[0, 0, 8, 0, 3, 7, 7, 7, 0, 0], [7, 0, 0, 8, 0, 2, 2, 0, 0, 0], [0, 0, 8, 0, 2, 8, 3, 3, 0, 0], [0, 0, 0, 0, 0, 3, 2, 0, 0, 0], [3, 0, 0, 0, 0, 0, 3, 3, 0, 0], [0, 0, 3, 0, 0, 8, 0, 0, 0, 2], [2, 0, 0, 0, 0, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 0, 7, 0, 0], [0, 0, 3, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 3], [0, 0, 0, 3], [0, 0, 0, 3], [0, 0, 0, 3], [0, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3]]\nExample input-output arrays:\n[[0, 0, 0, 7, 0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 8, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 0, 0], [0, 0, 2, 0, 0, 0, 0, 7, 3, 0], [0, 3, 7, 0, 0, 0, 2, 2, 0, 2], [7, 0, 0, 8, 2, 0, 0, 8, 8, 0], [7, 0, 0, 7, 7, 0, 0, 7, 0, 8], [0, 0, 0, 0, 0, 0, 0, 8, 0, 0], [0, 0, 2, 0, 7, 0, 0, 8, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 2]] -> [[7, 0, 2, 0], [7, 0, 2, 0], [7, 8, 2, 0], [7, 8, 2, 0], [7, 8, 2, 0], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[9, 9, 9, 3, 9, 7, 9, 9, 9, 3], [9, 9, 9, 2, 2, 9, 7, 9, 3, 9], [9, 2, 7, 9, 9, 8, 9, 2, 9, 9], [9, 9, 3, 9, 9, 9, 8, 3, 9, 3], [9, 7, 9, 9, 2, 9, 7, 7, 7, 9], [7, 9, 9, 9, 9, 9, 9, 8, 9, 9], [9, 8, 9, 3, 9, 9, 9, 9, 9, 9], [9, 9, 8, 9, 9, 9, 9, 7, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 7, 2, 9, 9, 9, 9, 9, 9]] -> [[7, 9, 9, 9], [7, 9, 9, 9], [7, 9, 9, 9], [7, 9, 9, 3], [7, 9, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3]]\n",
+            "Replicate 3": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[8, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 0, 0, 3, 0], [7, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 3, 0, 0, 0], [7, 0, 0, 0, 3, 0, 7, 0, 0, 0], [0, 0, 0, 0, 2, 0, 7, 0, 0, 0], [7, 0, 0, 0, 8, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 8, 8], [0, 7, 3, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[7, 0, 0, 0], [7, 0, 0, 0], [7, 0, 0, 0], [7, 8, 0, 0], [7, 8, 0, 3], [7, 8, 0, 3], [7, 8, 2, 3], [7, 8, 2, 3]]\nCounterfactual: Now imagine that we intervened on the previous input by rotating or flipping it.\n[[0, 0, 8, 0, 3, 7, 7, 7, 0, 0], [7, 0, 0, 8, 0, 2, 2, 0, 0, 0], [0, 0, 8, 0, 2, 8, 3, 3, 0, 0], [0, 0, 0, 0, 0, 3, 2, 0, 0, 0], [3, 0, 0, 0, 0, 0, 3, 3, 0, 0], [0, 0, 3, 0, 0, 8, 0, 0, 0, 2], [2, 0, 0, 0, 0, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 0, 7, 0, 0], [0, 0, 3, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 3], [0, 0, 0, 3], [0, 0, 0, 3], [0, 0, 0, 3], [0, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 3, 8, 7], [0, 0, 2, 0, 0, 0, 0, 0, 8, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 3], [2, 0, 0, 0, 0, 0, 0, 0, 8, 0], [0, 0, 3, 0, 0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 8, 8, 0], [0, 0, 0, 0, 0, 0, 8, 8, 0, 0], [7, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 7, 0], [0, 0, 3, 2, 0, 0, 0, 0, 7, 0]] -> [[0, 8, 0, 0], [0, 8, 0, 3], [0, 8, 0, 3], [7, 8, 0, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3]]\nCounterfactual: Now imagine that we intervened on the previous input by rotating or flipping it.\n[[0, 0, 7, 2, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 0, 0, 0, 0, 7, 0, 0], [0, 8, 0, 3, 0, 0, 0, 0, 0, 0], [7, 0, 0, 0, 0, 0, 0, 8, 0, 0], [0, 7, 0, 0, 2, 0, 7, 7, 7, 0], [0, 0, 3, 0, 0, 0, 8, 3, 0, 3], [0, 2, 7, 0, 0, 8, 0, 2, 0, 0], [0, 0, 0, 2, 2, 0, 7, 0, 3, 0], [0, 0, 0, 3, 0, 7, 0, 0, 0, 3]] -> [[7, 0, 0, 0], [7, 0, 0, 0], [7, 0, 0, 0], [7, 0, 0, 3], [7, 0, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3]]\n",
+            "Replicate 4": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[8, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 0, 0, 3, 0], [7, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 3, 0, 0, 0], [7, 0, 0, 0, 3, 0, 7, 0, 0, 0], [0, 0, 0, 0, 2, 0, 7, 0, 0, 0], [7, 0, 0, 0, 8, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 8, 8], [0, 7, 3, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[7, 0, 0, 0], [7, 0, 0, 0], [7, 0, 0, 0], [7, 8, 0, 0], [7, 8, 0, 3], [7, 8, 0, 3], [7, 8, 2, 3], [7, 8, 2, 3]]\nCounterfactual: Now imagine that we intervened on the previous input by rotating or flipping it.\n[[0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 3, 0, 3, 0, 7], [0, 0, 0, 0, 0, 3, 2, 3, 2, 7], [0, 0, 0, 3, 8, 0, 3, 8, 2, 7], [0, 0, 0, 0, 0, 0, 0, 2, 0, 3], [0, 8, 0, 0, 0, 0, 0, 0, 8, 0], [3, 0, 0, 0, 3, 0, 0, 8, 0, 8], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 3, 0, 0, 7, 0]] -> [[0, 0, 0, 3], [0, 0, 0, 3], [0, 0, 0, 3], [0, 0, 0, 3], [0, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 7, 0], [0, 0, 2, 0, 0, 0, 0, 0, 3, 0], [0, 0, 3, 0, 8, 0, 7, 0, 0, 0], [8, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 0, 3, 0, 0, 7, 0, 0, 0], [2, 0, 0, 0, 2, 7, 3, 0, 0, 0], [0, 0, 0, 2, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 7, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2]] -> [[0, 0, 2, 0], [7, 0, 2, 3], [7, 0, 2, 3], [7, 0, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 3, 0, 0, 0, 0, 0, 3], [0, 0, 0, 2, 2, 0, 0, 0, 3, 0], [0, 2, 0, 0, 0, 8, 0, 2, 0, 0], [0, 0, 3, 0, 0, 0, 8, 3, 0, 3], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 8, 0, 0], [0, 8, 0, 3, 0, 0, 0, 0, 0, 0], [0, 0, 8, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 3], [0, 0, 2, 3], [0, 8, 2, 3], [0, 8, 2, 3], [0, 8, 2, 3], [0, 8, 2, 3], [0, 8, 2, 3]]\n"
+        }
+    },
+    "SCMev5t": {
+        "L1": {
+            "Replicate 0": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 2, 0], [0, 0, 0, 6, 6, 6, 0, 2, 2, 0], [0, 0, 0, 6, 6, 6, 0, 0, 0, 0], [0, 0, 0, 6, 6, 6, 0, 6, 6, 0], [0, 0, 0, 0, 0, 0, 0, 6, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 6, 6, 0, 0, 0, 0], [0, 0, 0, 6, 6, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[2, 0, 0], [6, 6, 6]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 6, 0, 0, 0, 0, 0, 0], [0, 6, 6, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 6, 6, 6, 0, 0, 0], [0, 0, 0, 0, 6, 6, 6, 0, 0, 0], [0, 0, 0, 0, 6, 6, 6, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[6, 6, 6]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 2, 2, 0, 0], [0, 0, 0, 0, 0, 2, 2, 2, 0, 0], [0, 6, 6, 0, 0, 2, 2, 2, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 0, 0, 2, 2, 2, 0, 0], [0, 0, 0, 0, 0, 2, 2, 2, 0, 0], [0, 4, 4, 0, 0, 2, 2, 2, 0, 0], [0, 4, 4, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[4, 0], [6, 0], [2, 2]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 2, 2, 0, 2, 2, 0], [0, 0, 0, 0, 2, 2, 0, 2, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 6, 6, 6, 0, 0], [0, 0, 0, 0, 0, 6, 6, 6, 0, 0], [0, 4, 4, 4, 0, 6, 6, 6, 0, 0], [0, 4, 4, 4, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[4, 0], [6, 0], [2, 2]]\n",
+            "Replicate 1": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 2, 2, 2, 0, 0, 0], [0, 2, 2, 0, 2, 2, 2, 0, 0, 0], [0, 0, 0, 0, 2, 2, 2, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 6, 0], [0, 6, 6, 6, 0, 0, 0, 6, 6, 0], [0, 6, 6, 6, 0, 0, 0, 6, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[2, 2, 0], [6, 6, 6]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 2, 2, 2, 0, 0, 0], [0, 2, 2, 0, 2, 2, 2, 0, 0, 0], [0, 0, 0, 0, 2, 2, 2, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 6, 0], [0, 6, 6, 6, 0, 0, 0, 6, 6, 0], [0, 6, 6, 6, 0, 0, 0, 6, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[2, 2, 0], [6, 6, 6]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 6, 6, 6, 0, 0], [0, 0, 0, 0, 0, 6, 6, 6, 0, 0], [0, 2, 2, 2, 0, 6, 6, 6, 0, 0], [0, 2, 2, 2, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 2, 0, 2, 2, 0, 0, 0], [0, 0, 2, 2, 0, 2, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[6, 0, 0], [2, 2, 2]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 2, 2, 2, 0, 0, 0], [0, 2, 2, 0, 2, 2, 2, 0, 0, 0], [0, 0, 0, 0, 2, 2, 2, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 6, 0], [0, 6, 6, 6, 0, 0, 0, 6, 6, 0], [0, 6, 6, 6, 0, 0, 0, 6, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[2, 2, 0], [6, 6, 6]]\n",
+            "Replicate 2": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 2, 2, 0, 0], [0, 0, 0, 0, 0, 2, 2, 2, 0, 0], [0, 6, 6, 0, 0, 2, 2, 2, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 0, 0, 2, 2, 2, 0, 0], [0, 0, 0, 0, 0, 2, 2, 2, 0, 0], [0, 4, 4, 0, 0, 2, 2, 2, 0, 0], [0, 4, 4, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[4, 0], [6, 0], [2, 2]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 2, 2, 2, 0, 0, 0], [0, 2, 2, 0, 2, 2, 2, 0, 0, 0], [0, 0, 0, 0, 2, 2, 2, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 6, 0], [0, 6, 6, 6, 0, 0, 0, 6, 6, 0], [0, 6, 6, 6, 0, 0, 0, 6, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[2, 2, 0], [6, 6, 6]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 2, 0], [0, 0, 0, 6, 6, 6, 0, 2, 2, 0], [0, 0, 0, 6, 6, 6, 0, 0, 0, 0], [0, 0, 0, 6, 6, 6, 0, 6, 6, 0], [0, 0, 0, 0, 0, 0, 0, 6, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 6, 6, 0, 0, 0, 0], [0, 0, 0, 6, 6, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[2, 0, 0], [6, 6, 6]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 4, 4, 0, 0, 0, 0, 0, 0, 0], [0, 4, 4, 0, 0, 0, 0, 6, 6, 0], [0, 4, 4, 0, 6, 6, 0, 6, 6, 0], [0, 0, 0, 0, 6, 6, 0, 6, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 2, 2, 0, 0, 4, 4, 4, 0], [0, 2, 2, 2, 0, 0, 4, 4, 4, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[2, 0], [4, 4], [6, 6]]\n",
+            "Replicate 3": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 2, 2, 0, 0], [0, 0, 0, 0, 0, 2, 2, 2, 0, 0], [0, 6, 6, 0, 0, 2, 2, 2, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 0, 0, 2, 2, 2, 0, 0], [0, 0, 0, 0, 0, 2, 2, 2, 0, 0], [0, 4, 4, 0, 0, 2, 2, 2, 0, 0], [0, 4, 4, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[4, 0], [6, 0], [2, 2]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 2, 2, 0, 2, 2, 0], [0, 0, 0, 0, 2, 2, 0, 2, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 6, 6, 6, 0, 0], [0, 0, 0, 0, 0, 6, 6, 6, 0, 0], [0, 4, 4, 4, 0, 6, 6, 6, 0, 0], [0, 4, 4, 4, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[4, 0], [6, 0], [2, 2]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 6, 6, 0, 2, 2, 2, 0], [0, 0, 6, 6, 6, 0, 2, 2, 2, 0], [0, 0, 6, 6, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2, 2, 0, 0], [0, 0, 0, 0, 0, 0, 2, 2, 0, 0], [0, 0, 6, 6, 0, 0, 2, 2, 0, 0], [0, 0, 6, 6, 0, 0, 0, 0, 0, 0], [0, 0, 6, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[2, 2], [6, 6]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 6, 6, 6, 0, 0], [0, 0, 0, 0, 0, 6, 6, 6, 0, 0], [0, 2, 2, 2, 0, 6, 6, 6, 0, 0], [0, 2, 2, 2, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 2, 0, 2, 2, 0, 0, 0], [0, 0, 2, 2, 0, 2, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[6, 0, 0], [2, 2, 2]]\n",
+            "Replicate 4": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 2, 0], [0, 0, 0, 6, 6, 6, 0, 2, 2, 0], [0, 0, 0, 6, 6, 6, 0, 0, 0, 0], [0, 0, 0, 6, 6, 6, 0, 6, 6, 0], [0, 0, 0, 0, 0, 0, 0, 6, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 6, 6, 0, 0, 0, 0], [0, 0, 0, 6, 6, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[2, 0, 0], [6, 6, 6]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 6, 0, 0, 0, 0, 0, 0], [0, 6, 6, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 6, 6, 6, 0, 0, 0], [0, 0, 0, 0, 6, 6, 6, 0, 0, 0], [0, 0, 0, 0, 6, 6, 6, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[6, 6, 6]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 6, 6, 0, 2, 2, 2, 0], [0, 0, 6, 6, 6, 0, 2, 2, 2, 0], [0, 0, 6, 6, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2, 2, 0, 0], [0, 0, 0, 0, 0, 0, 2, 2, 0, 0], [0, 0, 6, 6, 0, 0, 2, 2, 0, 0], [0, 0, 6, 6, 0, 0, 0, 0, 0, 0], [0, 0, 6, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[2, 2], [6, 6]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 2, 2, 2, 0, 0, 0], [0, 2, 2, 0, 2, 2, 2, 0, 0, 0], [0, 0, 0, 0, 2, 2, 2, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 6, 0], [0, 6, 6, 6, 0, 0, 0, 6, 6, 0], [0, 6, 6, 6, 0, 0, 0, 6, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[2, 2, 0], [6, 6, 6]]\n"
+        },
+        "L3": {
+            "Replicate 0": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 4, 4, 0, 0, 0, 0, 0, 0, 0], [0, 4, 4, 0, 0, 0, 0, 6, 6, 0], [0, 4, 4, 0, 6, 6, 0, 6, 6, 0], [0, 0, 0, 0, 6, 6, 0, 6, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 2, 2, 0, 0, 4, 4, 4, 0], [0, 2, 2, 2, 0, 0, 4, 4, 4, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[2, 0], [4, 4], [6, 6]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 2, 0], [0, 0, 0, 6, 6, 6, 0, 2, 2, 0], [0, 0, 0, 6, 6, 6, 0, 0, 0, 0], [0, 0, 0, 6, 6, 6, 0, 6, 6, 0], [0, 0, 0, 0, 0, 0, 0, 6, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 6, 6, 0, 0, 0, 0], [0, 0, 0, 6, 6, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[2, 0, 0], [6, 6, 6]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 6, 0, 0, 0, 0, 0, 0], [0, 6, 6, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 6, 6, 6, 0, 0, 0], [0, 0, 0, 0, 6, 6, 6, 0, 0, 0], [0, 0, 0, 0, 6, 6, 6, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[6, 6, 6]]\nCounterfactual: Now imagine that we intervened on the previous input by rotating or flipping it.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 6, 6, 6, 0, 0, 0], [0, 0, 0, 0, 6, 6, 6, 0, 0, 0], [0, 0, 0, 0, 6, 6, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 6, 0, 0, 0, 0, 0, 0], [0, 6, 6, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[6, 6, 6]]\n",
+            "Replicate 1": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 4, 4, 0, 0, 0, 0, 0, 0, 0], [0, 4, 4, 0, 0, 0, 0, 6, 6, 0], [0, 4, 4, 0, 6, 6, 0, 6, 6, 0], [0, 0, 0, 0, 6, 6, 0, 6, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 2, 2, 0, 0, 4, 4, 4, 0], [0, 2, 2, 2, 0, 0, 4, 4, 4, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[2, 0], [4, 4], [6, 6]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 2, 0], [0, 0, 0, 0, 0, 0, 0, 2, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[2, 0, 0], [0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 2, 2, 2, 0, 0, 0], [0, 2, 2, 0, 2, 2, 2, 0, 0, 0], [0, 0, 0, 0, 2, 2, 2, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 6, 0], [0, 6, 6, 6, 0, 0, 0, 6, 6, 0], [0, 6, 6, 6, 0, 0, 0, 6, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[2, 2, 0], [6, 6, 6]]\nCounterfactual: Now imagine that we intervened on the previous input by rotating or flipping it.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 6, 6, 6, 0, 0, 0], [0, 0, 0, 0, 6, 6, 6, 0, 0, 0], [0, 0, 0, 0, 6, 6, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 6, 0, 0, 0, 0, 0, 0], [0, 6, 6, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[6, 6, 6]]\n",
+            "Replicate 2": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 4, 4, 0, 0, 0, 0, 0, 0, 0], [0, 4, 4, 0, 0, 0, 0, 6, 6, 0], [0, 4, 4, 0, 6, 6, 0, 6, 6, 0], [0, 0, 0, 0, 6, 6, 0, 6, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 2, 2, 0, 0, 4, 4, 4, 0], [0, 2, 2, 2, 0, 0, 4, 4, 4, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[2, 0], [4, 4], [6, 6]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 2, 0], [0, 0, 0, 0, 0, 0, 0, 2, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[2, 0, 0], [0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 2, 2, 0, 0], [0, 0, 0, 0, 0, 2, 2, 2, 0, 0], [0, 6, 6, 0, 0, 2, 2, 2, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 0, 0, 2, 2, 2, 0, 0], [0, 0, 0, 0, 0, 2, 2, 2, 0, 0], [0, 4, 4, 0, 0, 2, 2, 2, 0, 0], [0, 4, 4, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[4, 0], [6, 0], [2, 2]]\nCounterfactual: Now imagine that we intervened on the previous input by rotating or flipping it.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 6, 6, 6, 0, 0, 0], [0, 0, 0, 0, 6, 6, 6, 0, 0, 0], [0, 0, 0, 0, 6, 6, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 6, 0, 0, 0, 0, 0, 0], [0, 6, 6, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[6, 6, 6]]\n",
+            "Replicate 3": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 2, 0], [0, 0, 0, 6, 6, 6, 0, 2, 2, 0], [0, 0, 0, 6, 6, 6, 0, 0, 0, 0], [0, 0, 0, 6, 6, 6, 0, 6, 6, 0], [0, 0, 0, 0, 0, 0, 0, 6, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 6, 6, 0, 0, 0, 0], [0, 0, 0, 6, 6, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[2, 0, 0], [6, 6, 6]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 6, 6, 0, 0, 0, 0], [0, 0, 0, 6, 6, 6, 0, 0, 0, 0], [0, 0, 0, 6, 6, 6, 0, 6, 6, 0], [0, 0, 0, 0, 0, 0, 0, 6, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 6, 6, 0, 0, 0, 0], [0, 0, 0, 6, 6, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0], [6, 6, 6]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 4, 4, 0, 0, 0, 0, 0, 0, 0], [0, 4, 4, 0, 0, 0, 0, 6, 6, 0], [0, 4, 4, 0, 6, 6, 0, 6, 6, 0], [0, 0, 0, 0, 6, 6, 0, 6, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 2, 2, 0, 0, 4, 4, 4, 0], [0, 2, 2, 2, 0, 0, 4, 4, 4, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[2, 0], [4, 4], [6, 6]]\nCounterfactual: Now imagine that we intervened on the previous input by rotating or flipping it.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 6, 6, 6, 0, 0, 0], [0, 0, 0, 0, 6, 6, 6, 0, 0, 0], [0, 0, 0, 0, 6, 6, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 6, 0, 0, 0, 0, 0, 0], [0, 6, 6, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[6, 6, 6]]\n",
+            "Replicate 4": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 2, 2, 2, 0, 0, 0], [0, 2, 2, 0, 2, 2, 2, 0, 0, 0], [0, 0, 0, 0, 2, 2, 2, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 6, 0], [0, 6, 6, 6, 0, 0, 0, 6, 6, 0], [0, 6, 6, 6, 0, 0, 0, 6, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[2, 2, 0], [6, 6, 6]]\nCounterfactual: Now imagine that we intervened on the previous input by rotating or flipping it.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 6, 6, 6, 0, 0, 0], [0, 0, 0, 0, 6, 6, 6, 0, 0, 0], [0, 6, 6, 0, 6, 6, 6, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 6, 6, 6, 0, 0, 0], [0, 0, 0, 0, 6, 6, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[2, 0, 0], [6, 6, 6]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 6, 6, 0, 2, 2, 2, 0], [0, 0, 6, 6, 6, 0, 2, 2, 2, 0], [0, 0, 6, 6, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2, 2, 0, 0], [0, 0, 0, 0, 0, 0, 2, 2, 0, 0], [0, 0, 6, 6, 0, 0, 2, 2, 0, 0], [0, 0, 6, 6, 0, 0, 0, 0, 0, 0], [0, 0, 6, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[2, 2], [6, 6]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 6, 0, 0, 0, 0, 0, 0], [0, 6, 6, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 6, 6, 6, 0, 0, 0], [0, 0, 0, 0, 6, 6, 6, 0, 0, 0], [0, 0, 0, 0, 6, 6, 6, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[6, 6, 6]]\n"
+        }
+    },
+    "SCMfwpq": {
+        "L1": {
+            "Replicate 0": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[7, 0, 0, 0, 0, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0], [0, 0, 6, 6, 0, 0, 0, 0], [0, 0, 6, 0, 0, 6, 0, 0], [7, 6, 6, 0, 0, 0, 0, 0], [6, 0, 6, 0, 6, 0, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0]] -> [[7, 7, 7, 7, 7, 7, 4, 7], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0], [0, 0, 6, 6, 0, 0, 0, 0], [0, 0, 6, 0, 0, 6, 0, 0], [7, 4, 4, 7, 7, 7, 7, 7], [6, 0, 6, 0, 6, 0, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[7, 0, 0, 0, 0, 0, 0, 6], [6, 0, 0, 6, 0, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0], [0, 0, 6, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 0, 0, 6, 6, 6, 0, 0], [6, 0, 0, 6, 0, 0, 0, 0], [6, 0, 6, 0, 0, 0, 0, 0]] -> [[7, 7, 7, 7, 7, 7, 7, 4], [6, 0, 0, 6, 0, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0], [0, 0, 6, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 7, 7, 4, 4, 4, 7, 7], [6, 0, 0, 6, 0, 0, 0, 0], [6, 0, 6, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[7, 0, 6, 0, 0, 6, 0, 0], [6, 0, 0, 0, 6, 0, 6, 6], [0, 0, 0, 0, 0, 0, 0, 6], [0, 0, 0, 6, 0, 0, 0, 0], [7, 6, 0, 6, 6, 0, 0, 0], [0, 6, 6, 0, 0, 0, 6, 0], [6, 0, 0, 6, 0, 6, 0, 6], [0, 0, 0, 0, 6, 6, 0, 6]] -> [[7, 7, 4, 7, 7, 4, 7, 7], [6, 0, 0, 0, 6, 0, 6, 6], [0, 0, 0, 0, 0, 0, 0, 6], [0, 0, 0, 6, 0, 0, 0, 0], [7, 4, 7, 4, 4, 7, 7, 7], [0, 6, 6, 0, 0, 0, 6, 0], [6, 0, 0, 6, 0, 6, 0, 6], [0, 0, 0, 0, 6, 6, 0, 6]]\nExample input-output arrays:\n[[7, 0, 0, 0, 0, 6, 6, 0], [0, 0, 0, 0, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 6, 0, 6, 0, 0, 0, 0], [0, 6, 0, 6, 0, 0, 0, 6], [0, 0, 6, 0, 6, 0, 0, 6], [7, 0, 0, 6, 6, 6, 6, 0], [0, 0, 0, 6, 0, 6, 0, 0]] -> [[7, 7, 7, 7, 7, 4, 4, 7], [0, 0, 0, 0, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 4, 7, 4, 7, 7, 7, 7], [0, 6, 0, 6, 0, 0, 0, 6], [0, 0, 6, 0, 6, 0, 0, 6], [7, 7, 7, 4, 4, 4, 4, 7], [0, 0, 0, 6, 0, 6, 0, 0]]\n",
+            "Replicate 1": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[7, 0, 6, 0, 0, 6, 0, 0], [6, 0, 0, 0, 6, 0, 6, 6], [0, 0, 0, 0, 0, 0, 0, 6], [0, 0, 0, 6, 0, 0, 0, 0], [7, 6, 0, 6, 6, 0, 0, 0], [0, 6, 6, 0, 0, 0, 6, 0], [6, 0, 0, 6, 0, 6, 0, 6], [0, 0, 0, 0, 6, 6, 0, 6]] -> [[7, 7, 4, 7, 7, 4, 7, 7], [6, 0, 0, 0, 6, 0, 6, 6], [0, 0, 0, 0, 0, 0, 0, 6], [0, 0, 0, 6, 0, 0, 0, 0], [7, 4, 7, 4, 4, 7, 7, 7], [0, 6, 6, 0, 0, 0, 6, 0], [6, 0, 0, 6, 0, 6, 0, 6], [0, 0, 0, 0, 6, 6, 0, 6]]\nExample input-output arrays:\n[[7, 0, 0, 0, 0, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0], [0, 0, 6, 6, 0, 0, 0, 0], [0, 0, 6, 0, 0, 6, 0, 0], [7, 6, 6, 0, 0, 0, 0, 0], [6, 0, 6, 0, 6, 0, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0]] -> [[7, 7, 7, 7, 7, 7, 4, 7], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0], [0, 0, 6, 6, 0, 0, 0, 0], [0, 0, 6, 0, 0, 6, 0, 0], [7, 4, 4, 7, 7, 7, 7, 7], [6, 0, 6, 0, 6, 0, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[7, 0, 0, 0, 0, 0, 0, 6], [6, 0, 0, 6, 0, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0], [0, 0, 6, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 0, 0, 6, 6, 6, 0, 0], [6, 0, 0, 6, 0, 0, 0, 0], [6, 0, 6, 0, 0, 0, 0, 0]] -> [[7, 7, 7, 7, 7, 7, 7, 4], [6, 0, 0, 6, 0, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0], [0, 0, 6, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 7, 7, 4, 4, 4, 7, 7], [6, 0, 0, 6, 0, 0, 0, 0], [6, 0, 6, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[7, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 6, 0, 0, 6, 0], [0, 6, 6, 6, 0, 0, 6, 6], [7, 6, 0, 0, 0, 0, 0, 0], [0, 6, 0, 6, 0, 6, 0, 6], [0, 0, 0, 0, 0, 6, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0]] -> [[7, 7, 7, 4, 7, 7, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 6, 0, 0, 6, 0], [0, 6, 6, 6, 0, 0, 6, 6], [7, 4, 7, 7, 7, 7, 7, 7], [0, 6, 0, 6, 0, 6, 0, 6], [0, 0, 0, 0, 0, 6, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0]]\n",
+            "Replicate 2": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[7, 0, 0, 0, 0, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0], [0, 0, 6, 6, 0, 0, 0, 0], [0, 0, 6, 0, 0, 6, 0, 0], [7, 6, 6, 0, 0, 0, 0, 0], [6, 0, 6, 0, 6, 0, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0]] -> [[7, 7, 7, 7, 7, 7, 4, 7], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0], [0, 0, 6, 6, 0, 0, 0, 0], [0, 0, 6, 0, 0, 6, 0, 0], [7, 4, 4, 7, 7, 7, 7, 7], [6, 0, 6, 0, 6, 0, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[7, 0, 0, 0, 0, 0, 0, 6], [0, 0, 6, 0, 6, 0, 6, 0], [0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 6], [0, 6, 6, 0, 6, 0, 0, 6], [7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0]] -> [[7, 7, 7, 7, 7, 7, 7, 4], [0, 0, 6, 0, 6, 0, 6, 0], [0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 6], [0, 6, 6, 0, 6, 0, 0, 6], [7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0]]\nExample input-output arrays:\n[[7, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 6, 6, 0, 0, 0], [0, 0, 6, 0, 0, 0, 0, 6], [7, 0, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 6, 0, 0, 0], [7, 0, 0, 0, 6, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 0]] -> [[7, 7, 7, 7, 7, 7, 7, 7], [6, 0, 0, 6, 6, 0, 0, 0], [0, 0, 6, 0, 0, 0, 0, 6], [7, 7, 7, 7, 7, 7, 7, 7], [0, 6, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 6, 0, 0, 0], [7, 7, 7, 7, 4, 7, 7, 7], [0, 6, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[7, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 6, 0, 0, 6, 0], [0, 6, 6, 6, 0, 0, 6, 6], [7, 6, 0, 0, 0, 0, 0, 0], [0, 6, 0, 6, 0, 6, 0, 6], [0, 0, 0, 0, 0, 6, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0]] -> [[7, 7, 7, 4, 7, 7, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 6, 0, 0, 6, 0], [0, 6, 6, 6, 0, 0, 6, 6], [7, 4, 7, 7, 7, 7, 7, 7], [0, 6, 0, 6, 0, 6, 0, 6], [0, 0, 0, 0, 0, 6, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0]]\n",
+            "Replicate 3": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[7, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 6, 0, 0, 6, 0], [0, 6, 6, 6, 0, 0, 6, 6], [7, 6, 0, 0, 0, 0, 0, 0], [0, 6, 0, 6, 0, 6, 0, 6], [0, 0, 0, 0, 0, 6, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0]] -> [[7, 7, 7, 4, 7, 7, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 6, 0, 0, 6, 0], [0, 6, 6, 6, 0, 0, 6, 6], [7, 4, 7, 7, 7, 7, 7, 7], [0, 6, 0, 6, 0, 6, 0, 6], [0, 0, 0, 0, 0, 6, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[7, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 6, 0, 0, 6, 0], [0, 6, 6, 6, 0, 0, 6, 6], [7, 6, 0, 0, 0, 0, 0, 0], [0, 6, 0, 6, 0, 6, 0, 6], [0, 0, 0, 0, 0, 6, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0]] -> [[7, 7, 7, 4, 7, 7, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 6, 0, 0, 6, 0], [0, 6, 6, 6, 0, 0, 6, 6], [7, 4, 7, 7, 7, 7, 7, 7], [0, 6, 0, 6, 0, 6, 0, 6], [0, 0, 0, 0, 0, 6, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[7, 0, 0, 0, 0, 0, 0, 6], [6, 0, 0, 6, 0, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0], [0, 0, 6, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 0, 0, 6, 6, 6, 0, 0], [6, 0, 0, 6, 0, 0, 0, 0], [6, 0, 6, 0, 0, 0, 0, 0]] -> [[7, 7, 7, 7, 7, 7, 7, 4], [6, 0, 0, 6, 0, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0], [0, 0, 6, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 7, 7, 4, 4, 4, 7, 7], [6, 0, 0, 6, 0, 0, 0, 0], [6, 0, 6, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[7, 0, 0, 0, 0, 0, 0, 6], [0, 0, 6, 0, 6, 0, 6, 0], [0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 6], [0, 6, 6, 0, 6, 0, 0, 6], [7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0]] -> [[7, 7, 7, 7, 7, 7, 7, 4], [0, 0, 6, 0, 6, 0, 6, 0], [0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 6], [0, 6, 6, 0, 6, 0, 0, 6], [7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0]]\n",
+            "Replicate 4": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[7, 0, 0, 0, 0, 0, 0, 6], [6, 0, 0, 6, 0, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0], [0, 0, 6, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 0, 0, 6, 6, 6, 0, 0], [6, 0, 0, 6, 0, 0, 0, 0], [6, 0, 6, 0, 0, 0, 0, 0]] -> [[7, 7, 7, 7, 7, 7, 7, 4], [6, 0, 0, 6, 0, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0], [0, 0, 6, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 7, 7, 4, 4, 4, 7, 7], [6, 0, 0, 6, 0, 0, 0, 0], [6, 0, 6, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[7, 0, 0, 0, 0, 6, 6, 0], [0, 0, 0, 0, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 6, 0, 6, 0, 0, 0, 0], [0, 6, 0, 6, 0, 0, 0, 6], [0, 0, 6, 0, 6, 0, 0, 6], [7, 0, 0, 6, 6, 6, 6, 0], [0, 0, 0, 6, 0, 6, 0, 0]] -> [[7, 7, 7, 7, 7, 4, 4, 7], [0, 0, 0, 0, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 4, 7, 4, 7, 7, 7, 7], [0, 6, 0, 6, 0, 0, 0, 6], [0, 0, 6, 0, 6, 0, 0, 6], [7, 7, 7, 4, 4, 4, 4, 7], [0, 0, 0, 6, 0, 6, 0, 0]]\nExample input-output arrays:\n[[7, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 6, 0, 0, 6, 0], [0, 6, 6, 6, 0, 0, 6, 6], [7, 6, 0, 0, 0, 0, 0, 0], [0, 6, 0, 6, 0, 6, 0, 6], [0, 0, 0, 0, 0, 6, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0]] -> [[7, 7, 7, 4, 7, 7, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 6, 0, 0, 6, 0], [0, 6, 6, 6, 0, 0, 6, 6], [7, 4, 7, 7, 7, 7, 7, 7], [0, 6, 0, 6, 0, 6, 0, 6], [0, 0, 0, 0, 0, 6, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 0, 0, 0, 0, 6], [0, 6, 0, 0, 0, 0, 0, 6], [6, 0, 6, 0, 0, 0, 0, 0], [7, 0, 6, 0, 6, 0, 6, 0], [0, 6, 0, 6, 0, 0, 0, 0], [0, 0, 6, 0, 6, 0, 6, 6], [0, 0, 6, 0, 0, 0, 0, 0]] -> [[7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 6, 0, 0, 0, 0, 6], [0, 6, 0, 0, 0, 0, 0, 6], [6, 0, 6, 0, 0, 0, 0, 0], [7, 7, 4, 7, 4, 7, 4, 7], [0, 6, 0, 6, 0, 0, 0, 0], [0, 0, 6, 0, 6, 0, 6, 6], [0, 0, 6, 0, 0, 0, 0, 0]]\n"
+        },
+        "L3": {
+            "Replicate 0": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 0, 0, 0, 0, 6], [0, 6, 0, 0, 0, 0, 0, 6], [6, 0, 6, 0, 0, 0, 0, 0], [7, 0, 6, 0, 6, 0, 6, 0], [0, 6, 0, 6, 0, 0, 0, 0], [0, 0, 6, 0, 6, 0, 6, 6], [0, 0, 6, 0, 0, 0, 0, 0]] -> [[7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 6, 0, 0, 0, 0, 6], [0, 6, 0, 0, 0, 0, 0, 6], [6, 0, 6, 0, 0, 0, 0, 0], [7, 7, 4, 7, 4, 7, 4, 7], [0, 6, 0, 6, 0, 0, 0, 0], [0, 0, 6, 0, 6, 0, 6, 6], [0, 0, 6, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[7, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 6, 6, 0, 0, 0], [0, 0, 6, 0, 0, 0, 0, 6], [7, 0, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 6, 0, 0, 0], [7, 0, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 0]] -> [[7, 7, 7, 7, 7, 7, 7, 7], [6, 0, 0, 6, 6, 0, 0, 0], [0, 0, 6, 0, 0, 0, 0, 6], [7, 7, 7, 7, 7, 7, 7, 7], [0, 6, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 6, 0, 0, 0], [7, 7, 7, 7, 7, 7, 7, 7], [0, 6, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[7, 0, 0, 0, 0, 6, 6, 0], [0, 0, 0, 0, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 6, 0, 6, 0, 0, 0, 0], [0, 6, 0, 6, 0, 0, 0, 6], [0, 0, 6, 0, 6, 0, 0, 6], [7, 0, 0, 6, 6, 6, 6, 0], [0, 0, 0, 6, 0, 6, 0, 0]] -> [[7, 7, 7, 7, 7, 4, 4, 7], [0, 0, 0, 0, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 4, 7, 4, 7, 7, 7, 7], [0, 6, 0, 6, 0, 0, 0, 6], [0, 0, 6, 0, 6, 0, 0, 6], [7, 7, 7, 4, 4, 4, 4, 7], [0, 0, 0, 6, 0, 6, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[7, 0, 0, 0, 0, 0, 0, 6], [0, 0, 6, 0, 6, 0, 6, 0], [0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 6], [6, 6, 6, 6, 6, 6, 6, 6], [7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0]] -> [[7, 7, 7, 7, 7, 7, 7, 4], [0, 0, 6, 0, 6, 0, 6, 0], [0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 6], [6, 6, 6, 6, 6, 6, 6, 6], [7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0]]\n",
+            "Replicate 1": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[7, 0, 0, 0, 0, 0, 0, 6], [0, 0, 6, 0, 6, 0, 6, 0], [0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 6], [0, 6, 6, 0, 6, 0, 0, 6], [7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0]] -> [[7, 7, 7, 7, 7, 7, 7, 4], [0, 0, 6, 0, 6, 0, 6, 0], [0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 6], [0, 6, 6, 0, 6, 0, 0, 6], [7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[7, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 2, 2, 0, 0, 0], [0, 0, 2, 0, 0, 0, 0, 2], [7, 0, 0, 0, 0, 0, 0, 0], [0, 2, 0, 0, 0, 2, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0], [7, 0, 0, 0, 2, 0, 0, 0], [0, 2, 0, 0, 0, 0, 0, 0]] -> [[7, 7, 7, 7, 7, 7, 7, 7], [2, 0, 0, 2, 2, 0, 0, 0], [0, 0, 2, 0, 0, 0, 0, 2], [7, 7, 7, 7, 7, 7, 7, 7], [0, 2, 0, 0, 0, 2, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0], [7, 7, 7, 7, 4, 7, 7, 7], [0, 2, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[7, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 6, 6, 0, 0, 0], [0, 0, 6, 0, 0, 0, 0, 6], [7, 0, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 6, 0, 0, 0], [7, 0, 0, 0, 6, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 0]] -> [[7, 7, 7, 7, 7, 7, 7, 7], [6, 0, 0, 6, 6, 0, 0, 0], [0, 0, 6, 0, 0, 0, 0, 6], [7, 7, 7, 7, 7, 7, 7, 7], [0, 6, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 6, 0, 0, 0], [7, 7, 7, 7, 4, 7, 7, 7], [0, 6, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 0, 6, 0, 6, 0], [0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 6], [0, 6, 6, 0, 6, 0, 0, 6], [7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0]] -> [[7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 6, 0, 6, 0, 6, 0], [0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 6], [0, 6, 6, 0, 6, 0, 0, 6], [7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0]]\n",
+            "Replicate 2": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[7, 0, 0, 0, 0, 0, 0, 6], [0, 0, 6, 0, 6, 0, 6, 0], [0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 6], [0, 6, 6, 0, 6, 0, 0, 6], [7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0]] -> [[7, 7, 7, 7, 7, 7, 7, 4], [0, 0, 6, 0, 6, 0, 6, 0], [0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 6], [0, 6, 6, 0, 6, 0, 0, 6], [7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[7, 6, 6, 6, 6, 6, 6, 6], [6, 0, 0, 6, 6, 0, 0, 0], [0, 0, 6, 0, 0, 0, 0, 6], [7, 6, 6, 6, 6, 6, 6, 6], [0, 6, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 6, 0, 0, 0], [7, 6, 6, 6, 6, 6, 6, 6], [0, 6, 0, 0, 0, 0, 0, 0]] -> [[7, 4, 4, 4, 4, 4, 4, 4], [6, 0, 0, 6, 6, 0, 0, 0], [0, 0, 6, 0, 0, 0, 0, 6], [7, 4, 4, 4, 4, 4, 4, 4], [0, 6, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 6, 0, 0, 0], [7, 4, 4, 4, 4, 4, 4, 4], [0, 6, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[7, 0, 0, 0, 0, 6, 6, 0], [0, 0, 0, 0, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 6, 0, 6, 0, 0, 0, 0], [0, 6, 0, 6, 0, 0, 0, 6], [0, 0, 6, 0, 6, 0, 0, 6], [7, 0, 0, 6, 6, 6, 6, 0], [0, 0, 0, 6, 0, 6, 0, 0]] -> [[7, 7, 7, 7, 7, 4, 4, 7], [0, 0, 0, 0, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 4, 7, 4, 7, 7, 7, 7], [0, 6, 0, 6, 0, 0, 0, 6], [0, 0, 6, 0, 6, 0, 0, 6], [7, 7, 7, 4, 4, 4, 4, 7], [0, 0, 0, 6, 0, 6, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[7, 0, 0, 0, 0, 0, 0, 2], [0, 0, 2, 0, 2, 0, 2, 0], [0, 2, 0, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 2], [0, 2, 2, 0, 2, 0, 0, 2], [7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0]] -> [[7, 7, 7, 7, 7, 7, 7, 4], [0, 0, 2, 0, 2, 0, 2, 0], [0, 2, 0, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 2], [0, 2, 2, 0, 2, 0, 0, 2], [7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0]]\n",
+            "Replicate 3": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[7, 0, 6, 0, 0, 6, 0, 0], [6, 0, 0, 0, 6, 0, 6, 6], [0, 0, 0, 0, 0, 0, 0, 6], [0, 0, 0, 6, 0, 0, 0, 0], [7, 6, 0, 6, 6, 0, 0, 0], [0, 6, 6, 0, 0, 0, 6, 0], [6, 0, 0, 6, 0, 6, 0, 6], [0, 0, 0, 0, 6, 6, 0, 6]] -> [[7, 7, 4, 7, 7, 4, 7, 7], [6, 0, 0, 0, 6, 0, 6, 6], [0, 0, 0, 0, 0, 0, 0, 6], [0, 0, 0, 6, 0, 0, 0, 0], [7, 4, 7, 4, 4, 7, 7, 7], [0, 6, 6, 0, 0, 0, 6, 0], [6, 0, 0, 6, 0, 6, 0, 6], [0, 0, 0, 0, 6, 6, 0, 6]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[7, 0, 0, 0, 0, 0, 0, 0], [8, 0, 0, 8, 8, 0, 0, 0], [0, 0, 8, 0, 0, 0, 0, 8], [7, 0, 0, 0, 0, 0, 0, 0], [0, 8, 0, 0, 0, 8, 0, 0], [0, 0, 0, 0, 8, 0, 0, 0], [7, 0, 0, 0, 8, 0, 0, 0], [0, 8, 0, 0, 0, 0, 0, 0]] -> [[7, 7, 7, 7, 7, 7, 7, 7], [8, 0, 0, 8, 8, 0, 0, 0], [0, 0, 8, 0, 0, 0, 0, 8], [7, 7, 7, 7, 7, 7, 7, 7], [0, 8, 0, 0, 0, 8, 0, 0], [0, 0, 0, 0, 8, 0, 0, 0], [7, 7, 7, 7, 4, 7, 7, 7], [0, 8, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[7, 0, 0, 0, 0, 6, 6, 0], [0, 0, 0, 0, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 6, 0, 6, 0, 0, 0, 0], [0, 6, 0, 6, 0, 0, 0, 6], [0, 0, 6, 0, 6, 0, 0, 6], [7, 0, 0, 6, 6, 6, 6, 0], [0, 0, 0, 6, 0, 6, 0, 0]] -> [[7, 7, 7, 7, 7, 4, 4, 7], [0, 0, 0, 0, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 4, 7, 4, 7, 7, 7, 7], [0, 6, 0, 6, 0, 0, 0, 6], [0, 0, 6, 0, 6, 0, 0, 6], [7, 7, 7, 4, 4, 4, 4, 7], [0, 0, 0, 6, 0, 6, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[7, 0, 0, 0, 0, 0, 0, 6], [0, 0, 6, 0, 6, 0, 6, 0], [0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 6], [6, 6, 6, 6, 6, 6, 6, 6], [7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0]] -> [[7, 7, 7, 7, 7, 7, 7, 4], [0, 0, 6, 0, 6, 0, 6, 0], [0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 6], [6, 6, 6, 6, 6, 6, 6, 6], [7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0]]\n",
+            "Replicate 4": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[7, 0, 6, 0, 0, 6, 0, 0], [6, 0, 0, 0, 6, 0, 6, 6], [0, 0, 0, 0, 0, 0, 0, 6], [0, 0, 0, 6, 0, 0, 0, 0], [7, 6, 0, 6, 6, 0, 0, 0], [0, 6, 6, 0, 0, 0, 6, 0], [6, 0, 0, 6, 0, 6, 0, 6], [0, 0, 0, 0, 6, 6, 0, 6]] -> [[7, 7, 4, 7, 7, 4, 7, 7], [6, 0, 0, 0, 6, 0, 6, 6], [0, 0, 0, 0, 0, 0, 0, 6], [0, 0, 0, 6, 0, 0, 0, 0], [7, 4, 7, 4, 4, 7, 7, 7], [0, 6, 6, 0, 0, 0, 6, 0], [6, 0, 0, 6, 0, 6, 0, 6], [0, 0, 0, 0, 6, 6, 0, 6]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[7, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 6, 6, 0, 0, 0], [0, 0, 6, 0, 0, 0, 0, 6], [7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 6, 0, 0, 0], [7, 0, 0, 0, 6, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 0]] -> [[7, 7, 7, 7, 7, 7, 7, 7], [6, 0, 0, 6, 6, 0, 0, 0], [0, 0, 6, 0, 0, 0, 0, 6], [7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 6, 0, 0, 0], [7, 7, 7, 7, 4, 7, 7, 7], [0, 6, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[7, 0, 0, 0, 0, 0, 0, 6], [6, 0, 0, 6, 0, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0], [0, 0, 6, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 0, 0, 6, 6, 6, 0, 0], [6, 0, 0, 6, 0, 0, 0, 0], [6, 0, 6, 0, 0, 0, 0, 0]] -> [[7, 7, 7, 7, 7, 7, 7, 4], [6, 0, 0, 6, 0, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0], [0, 0, 6, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 7, 7, 4, 4, 4, 7, 7], [6, 0, 0, 6, 0, 0, 0, 0], [6, 0, 6, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[7, 0, 0, 0, 0, 0, 0, 8], [0, 0, 8, 0, 8, 0, 8, 0], [0, 8, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 0, 8], [0, 8, 8, 0, 8, 0, 0, 8], [7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 0, 0]] -> [[7, 7, 7, 7, 7, 7, 7, 4], [0, 0, 8, 0, 8, 0, 8, 0], [0, 8, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 0, 8], [0, 8, 8, 0, 8, 0, 0, 8], [7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 0, 0]]\n"
+        }
+    },
+    "SCMz750": {
+        "L1": {
+            "Replicate 0": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[2, 0, 8, 0, 0, 0, 6, 0, 0, 0], [2, 0, 8, 0, 0, 0, 6, 0, 0, 0], [2, 8, 8, 0, 0, 0, 6, 0, 0, 0], [2, 0, 0, 0, 0, 0, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0, 0, 0], [6, 6, 6, 6, 6, 6, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 8, 0, 0], [0, 0, 0, 0, 0, 0, 5, 0, 7, 0], [0, 9, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [9, 0, 5, 0, 0, 0, 0, 0, 7, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[9, 9, 5, 0, 2, 0, 5, 8, 7, 2], [9, 9, 5, 8, 2, 8, 5, 8, 7, 2], [9, 9, 5, 7, 2, 7, 7, 7, 7, 2], [9, 9, 5, 0, 2, 0, 0, 0, 7, 2], [9, 2, 5, 2, 2, 0, 0, 0, 7, 2], [9, 0, 5, 0, 0, 0, 0, 0, 7, 2], [7, 7, 7, 7, 7, 7, 7, 7, 7, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[2, 0, 8, 0, 0, 0, 6, 0, 0, 0], [2, 0, 8, 0, 0, 0, 6, 0, 0, 0], [2, 8, 8, 0, 0, 0, 6, 0, 0, 0], [2, 0, 0, 0, 0, 0, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0, 0, 0], [6, 6, 6, 6, 6, 6, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 0, 0], [8, 8, 8, 8, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 0, 0], [1, 1, 1, 1, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\n",
+            "Replicate 1": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 8, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 5, 3], [0, 0, 5, 0, 0, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 5, 0, 5, 8, 0, 4, 5, 3], [0, 0, 5, 0, 5, 8, 0, 4, 5, 3], [0, 0, 5, 0, 5, 8, 0, 4, 5, 3], [8, 8, 5, 8, 8, 8, 0, 4, 5, 3], [3, 3, 5, 3, 3, 3, 3, 4, 3, 3], [3, 3, 3, 3, 3, 3, 3, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 0, 0], [4, 4, 4, 4, 4, 4, 4, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 7, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 9, 0, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 6, 0, 0, 0, 0]] -> [[0, 0, 0, 7, 0, 6, 0, 0, 6, 0], [0, 0, 0, 7, 0, 6, 0, 0, 6, 0], [7, 7, 7, 7, 0, 6, 0, 0, 6, 0], [0, 0, 0, 0, 0, 6, 0, 0, 6, 0], [6, 6, 6, 6, 6, 6, 6, 6, 6, 0], [0, 0, 0, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 6, 0, 0, 0, 0], [6, 6, 6, 6, 6, 6, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [7, 7, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 8, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[2, 0, 0, 0, 0, 8, 0, 0, 0, 0], [2, 0, 0, 0, 0, 8, 0, 0, 0, 0], [2, 0, 0, 0, 0, 8, 0, 0, 0, 0], [2, 8, 8, 8, 8, 8, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\n",
+            "Replicate 2": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 0, 0, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 3, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[3, 3, 3, 3, 3, 2, 0, 6, 0, 0], [6, 6, 6, 6, 3, 2, 0, 6, 0, 0], [0, 0, 0, 0, 3, 2, 0, 6, 0, 0], [0, 0, 0, 0, 3, 2, 0, 6, 0, 0], [0, 0, 0, 0, 3, 2, 0, 6, 0, 0], [6, 6, 6, 6, 3, 2, 6, 6, 0, 0], [2, 2, 2, 2, 2, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [7, 7, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [7, 7, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 3, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[3, 3, 3, 3, 3, 2, 0, 6, 0, 0], [6, 6, 6, 6, 3, 2, 0, 6, 0, 0], [0, 0, 0, 0, 3, 2, 0, 6, 0, 0], [0, 0, 0, 0, 3, 2, 0, 6, 0, 0], [0, 0, 0, 0, 3, 2, 0, 6, 0, 0], [6, 6, 6, 6, 3, 2, 6, 6, 0, 0], [2, 2, 2, 2, 2, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\n",
+            "Replicate 3": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [7, 7, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 3, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[3, 3, 3, 3, 3, 2, 0, 6, 0, 0], [6, 6, 6, 6, 3, 2, 0, 6, 0, 0], [0, 0, 0, 0, 3, 2, 0, 6, 0, 0], [0, 0, 0, 0, 3, 2, 0, 6, 0, 0], [0, 0, 0, 0, 3, 2, 0, 6, 0, 0], [6, 6, 6, 6, 3, 2, 6, 6, 0, 0], [2, 2, 2, 2, 2, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 8, 0, 0], [0, 0, 0, 0, 0, 0, 5, 0, 7, 0], [0, 9, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [9, 0, 5, 0, 0, 0, 0, 0, 7, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[9, 9, 5, 0, 2, 0, 5, 8, 7, 2], [9, 9, 5, 8, 2, 8, 5, 8, 7, 2], [9, 9, 5, 7, 2, 7, 7, 7, 7, 2], [9, 9, 5, 0, 2, 0, 0, 0, 7, 2], [9, 2, 5, 2, 2, 0, 0, 0, 7, 2], [9, 0, 5, 0, 0, 0, 0, 0, 7, 2], [7, 7, 7, 7, 7, 7, 7, 7, 7, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 3, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[3, 3, 3, 3, 3, 2, 0, 6, 0, 0], [6, 6, 6, 6, 3, 2, 0, 6, 0, 0], [0, 0, 0, 0, 3, 2, 0, 6, 0, 0], [0, 0, 0, 0, 3, 2, 0, 6, 0, 0], [0, 0, 0, 0, 3, 2, 0, 6, 0, 0], [6, 6, 6, 6, 3, 2, 6, 6, 0, 0], [2, 2, 2, 2, 2, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\n",
+            "Replicate 4": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 0, 0, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 3, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[3, 3, 3, 3, 3, 2, 0, 6, 0, 0], [6, 6, 6, 6, 3, 2, 0, 6, 0, 0], [0, 0, 0, 0, 3, 2, 0, 6, 0, 0], [0, 0, 0, 0, 3, 2, 0, 6, 0, 0], [0, 0, 0, 0, 3, 2, 0, 6, 0, 0], [6, 6, 6, 6, 3, 2, 6, 6, 0, 0], [2, 2, 2, 2, 2, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [7, 7, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 7, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 9, 0, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 6, 0, 0, 0, 0]] -> [[0, 0, 0, 7, 0, 6, 0, 0, 6, 0], [0, 0, 0, 7, 0, 6, 0, 0, 6, 0], [7, 7, 7, 7, 0, 6, 0, 0, 6, 0], [0, 0, 0, 0, 0, 6, 0, 0, 6, 0], [6, 6, 6, 6, 6, 6, 6, 6, 6, 0], [0, 0, 0, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 6, 0, 0, 0, 0], [6, 6, 6, 6, 6, 6, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 8, 0, 0], [0, 0, 0, 0, 0, 0, 5, 0, 7, 0], [0, 9, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [9, 0, 5, 0, 0, 0, 0, 0, 7, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[9, 9, 5, 0, 2, 0, 5, 8, 7, 2], [9, 9, 5, 8, 2, 8, 5, 8, 7, 2], [9, 9, 5, 7, 2, 7, 7, 7, 7, 2], [9, 9, 5, 0, 2, 0, 0, 0, 7, 2], [9, 2, 5, 2, 2, 0, 0, 0, 7, 2], [9, 0, 5, 0, 0, 0, 0, 0, 7, 2], [7, 7, 7, 7, 7, 7, 7, 7, 7, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\n"
+        },
+        "L3": {
+            "Replicate 0": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [7, 7, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 0, 8, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 0, 0, 0, 0, 0], [8, 8, 8, 8, 8, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 7, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 9, 0, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 6, 0, 0, 0, 0]] -> [[0, 0, 0, 7, 0, 6, 0, 0, 6, 0], [0, 0, 0, 7, 0, 6, 0, 0, 6, 0], [7, 7, 7, 7, 0, 6, 0, 0, 6, 0], [0, 0, 0, 0, 0, 6, 0, 0, 6, 0], [6, 6, 6, 6, 6, 6, 6, 6, 6, 0], [0, 0, 0, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 6, 0, 0, 0, 0], [6, 6, 6, 6, 6, 6, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 8, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 5, 2], [0, 0, 5, 0, 0, 0, 0, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 5, 0, 5, 8, 0, 4, 5, 2], [0, 0, 5, 0, 5, 8, 0, 4, 5, 2], [0, 0, 5, 0, 5, 8, 0, 4, 5, 2], [8, 8, 5, 8, 8, 8, 0, 4, 5, 2], [2, 2, 5, 2, 2, 2, 2, 4, 2, 2], [2, 2, 2, 2, 2, 2, 2, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 0, 0], [4, 4, 4, 4, 4, 4, 4, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\n",
+            "Replicate 1": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 8, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[2, 0, 0, 0, 0, 8, 0, 0, 0, 0], [2, 0, 0, 0, 0, 8, 0, 0, 0, 0], [2, 0, 0, 0, 0, 8, 0, 0, 0, 0], [2, 8, 8, 8, 8, 8, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 7, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 0, 7, 0, 0, 0, 0, 0], [0, 0, 0, 0, 7, 0, 0, 0, 0, 0], [0, 0, 0, 0, 7, 0, 0, 0, 0, 0], [0, 0, 0, 0, 7, 0, 0, 0, 0, 0], [0, 0, 0, 0, 7, 0, 0, 0, 0, 0], [8, 8, 8, 8, 7, 0, 0, 0, 0, 0], [0, 0, 0, 0, 7, 0, 0, 0, 0, 0], [7, 7, 7, 7, 7, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 0, 0], [8, 8, 8, 8, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 0, 0], [1, 1, 1, 1, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 8, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 5, 3], [0, 0, 5, 0, 0, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 5, 0, 5, 8, 0, 3, 5, 3], [0, 0, 5, 0, 5, 8, 0, 3, 5, 3], [0, 0, 5, 0, 5, 8, 0, 3, 5, 3], [8, 8, 5, 8, 8, 8, 0, 3, 5, 3], [3, 3, 5, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\n",
+            "Replicate 2": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 0, 0, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 3, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[3, 3, 3, 3, 3, 2, 0, 6, 0, 0], [6, 6, 6, 6, 3, 2, 0, 6, 0, 0], [0, 0, 0, 0, 3, 2, 0, 6, 0, 0], [0, 0, 0, 0, 3, 2, 0, 6, 0, 0], [0, 0, 0, 0, 3, 2, 0, 6, 0, 0], [6, 6, 6, 6, 3, 2, 6, 6, 0, 0], [2, 2, 2, 2, 2, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 0, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0, 0], [8, 8, 8, 8, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0, 0], [3, 3, 3, 3, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[2, 0, 8, 0, 0, 0, 6, 0, 0, 0], [2, 0, 8, 0, 0, 0, 6, 0, 0, 0], [2, 8, 8, 0, 0, 0, 6, 0, 0, 0], [2, 0, 0, 0, 0, 0, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0, 0, 0], [6, 6, 6, 6, 6, 6, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 8, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 3], [0, 0, 0, 0, 0, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 0, 0, 8, 0, 4, 0, 3], [0, 0, 0, 0, 0, 8, 0, 4, 0, 3], [0, 0, 0, 0, 0, 8, 0, 4, 0, 3], [8, 8, 8, 8, 8, 8, 0, 4, 0, 3], [3, 3, 3, 3, 3, 3, 3, 4, 3, 3], [3, 3, 3, 3, 3, 3, 3, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 0, 0], [4, 4, 4, 4, 4, 4, 4, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\n",
+            "Replicate 3": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[2, 0, 8, 0, 0, 0, 6, 0, 0, 0], [2, 0, 8, 0, 0, 0, 6, 0, 0, 0], [2, 8, 8, 0, 0, 0, 6, 0, 0, 0], [2, 0, 0, 0, 0, 0, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0, 0, 0], [6, 6, 6, 6, 6, 6, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 0, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0, 0], [8, 8, 8, 8, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0, 0], [3, 3, 3, 3, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[2, 0, 8, 0, 0, 0, 6, 0, 0, 0], [2, 0, 8, 0, 0, 0, 6, 0, 0, 0], [2, 8, 8, 0, 0, 0, 6, 0, 0, 0], [2, 0, 0, 0, 0, 0, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0, 0, 0], [6, 6, 6, 6, 6, 6, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 8, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 5, 2], [0, 0, 5, 0, 0, 0, 0, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 5, 0, 5, 8, 0, 4, 5, 2], [0, 0, 5, 0, 5, 8, 0, 4, 5, 2], [0, 0, 5, 0, 5, 8, 0, 4, 5, 2], [8, 8, 5, 8, 8, 8, 0, 4, 5, 2], [2, 2, 5, 2, 2, 2, 2, 4, 2, 2], [2, 2, 2, 2, 2, 2, 2, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 0, 0], [4, 4, 4, 4, 4, 4, 4, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\n",
+            "Replicate 4": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[2, 0, 8, 0, 0, 0, 6, 0, 0, 0], [2, 0, 8, 0, 0, 0, 6, 0, 0, 0], [2, 8, 8, 0, 0, 0, 6, 0, 0, 0], [2, 0, 0, 0, 0, 0, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0, 0, 0], [6, 6, 6, 6, 6, 6, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 0, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0, 0], [8, 8, 8, 8, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0, 0], [3, 3, 3, 3, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 8, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 5, 3], [0, 0, 5, 0, 0, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 5, 0, 5, 8, 0, 4, 5, 3], [0, 0, 5, 0, 5, 8, 0, 4, 5, 3], [0, 0, 5, 0, 5, 8, 0, 4, 5, 3], [8, 8, 5, 8, 8, 8, 0, 4, 5, 3], [3, 3, 5, 3, 3, 3, 3, 4, 3, 3], [3, 3, 3, 3, 3, 3, 3, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 0, 0], [4, 4, 4, 4, 4, 4, 4, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 8, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 5, 1], [0, 0, 5, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 5, 0, 5, 8, 0, 4, 5, 1], [0, 0, 5, 0, 5, 8, 0, 4, 5, 1], [0, 0, 5, 0, 5, 8, 0, 4, 5, 1], [8, 8, 5, 8, 8, 8, 0, 4, 5, 1], [1, 1, 5, 1, 1, 1, 1, 4, 1, 1], [1, 1, 1, 1, 1, 1, 1, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 0, 0], [4, 4, 4, 4, 4, 4, 4, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\n"
+        }
+    }
+}
\ No newline at end of file
diff --git a/prompts/program_synthesis/program_synthesis_nexamples6_prompts.json b/prompts/program_synthesis/program_synthesis_nexamples6_prompts.json
new file mode 100644
index 0000000000000000000000000000000000000000..a715cc24dd9877b6e907f4f001257131f4ff5277
--- /dev/null
+++ b/prompts/program_synthesis/program_synthesis_nexamples6_prompts.json
@@ -0,0 +1,66 @@
+{
+    "SCMm5ob": {
+        "L1": {
+            "Replicate 0": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 3, 3, 5], [0, 0, 7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 9, 0, 0, 3, 0, 0, 0], [0, 0, 0, 7, 9, 5, 0, 0, 0, 0], [0, 0, 0, 3, 0, 0, 3, 5, 0, 0], [0, 0, 0, 0, 7, 0, 0, 0, 7, 0], [0, 0, 0, 0, 0, 0, 0, 0, 5, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[3, 7, 0, 0], [3, 7, 0, 5], [3, 7, 9, 5], [3, 7, 9, 5], [3, 7, 9, 5]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 0, 0, 3, 0, 0, 7, 0], [0, 0, 0, 3, 0, 0, 7, 9, 0, 0], [0, 0, 0, 9, 5, 0, 0, 0, 0, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 5, 0, 0, 0], [0, 0, 7, 0, 0, 0, 0, 0, 0, 0], [0, 7, 3, 0, 5, 7, 0, 0, 0, 0], [0, 0, 9, 0, 0, 0, 0, 0, 0, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5]] -> [[0, 0, 0, 5], [0, 7, 0, 5], [3, 7, 0, 5], [3, 7, 9, 5], [3, 7, 9, 5], [3, 7, 9, 5]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 5, 0, 0], [0, 3, 0, 0, 0, 3, 0, 0, 0, 0], [7, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5, 0, 0, 0, 3, 0, 7, 0, 0, 7], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 7, 9, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 7, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 5, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0, 0]] -> [[3, 7, 0, 0], [3, 7, 0, 0], [3, 7, 0, 5], [3, 7, 0, 5], [3, 7, 9, 5]]\nExample input-output arrays:\n[[0, 0, 9, 9, 0, 0, 0, 0, 3, 0], [5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 9, 0, 0, 0, 0, 0, 7, 0], [0, 0, 0, 0, 0, 0, 5, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 9, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 5, 0, 0, 0, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 3], [0, 0, 0, 0, 0, 0, 0, 0, 7, 0]] -> [[0, 0, 9, 0], [3, 0, 9, 5], [3, 7, 9, 5], [3, 7, 9, 5]]\nExample input-output arrays:\n[[0, 0, 0, 7, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 0], [0, 0, 3, 0, 0, 0, 5, 9, 0, 0], [0, 9, 7, 9, 0, 0, 0, 0, 0, 0], [0, 0, 0, 7, 0, 0, 0, 0, 9, 0], [0, 0, 0, 9, 5, 9, 0, 0, 0, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 0, 0, 0, 0, 0, 3], [0, 0, 0, 0, 3, 0, 0, 7, 7, 3]] -> [[3, 0, 0, 0], [3, 0, 0, 0], [3, 0, 9, 0], [3, 7, 9, 0], [3, 7, 9, 0], [3, 7, 9, 0], [3, 7, 9, 5], [3, 7, 9, 5]]\nExample input-output arrays:\n[[0, 0, 0, 7, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 0], [0, 0, 3, 0, 0, 0, 5, 9, 0, 0], [0, 9, 7, 9, 0, 0, 0, 0, 0, 0], [0, 0, 0, 7, 0, 0, 0, 0, 9, 0], [0, 0, 0, 9, 5, 9, 0, 0, 0, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 0, 0, 0, 0, 0, 3], [0, 0, 0, 0, 3, 0, 0, 7, 7, 3]] -> [[3, 0, 0, 0], [3, 0, 0, 0], [3, 0, 9, 0], [3, 7, 9, 0], [3, 7, 9, 0], [3, 7, 9, 0], [3, 7, 9, 5], [3, 7, 9, 5]]\n",
+            "Replicate 1": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 9, 9, 0, 0, 0, 0, 3, 0], [5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 9, 0, 0, 0, 0, 0, 7, 0], [0, 0, 0, 0, 0, 0, 5, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 9, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 5, 0, 0, 0, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 3], [0, 0, 0, 0, 0, 0, 0, 0, 7, 0]] -> [[0, 0, 9, 0], [3, 0, 9, 5], [3, 7, 9, 5], [3, 7, 9, 5]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 5, 0, 0], [0, 3, 0, 0, 0, 3, 0, 0, 0, 0], [7, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5, 0, 0, 0, 3, 0, 7, 0, 0, 7], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 7, 9, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 7, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 5, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0, 0]] -> [[3, 7, 0, 0], [3, 7, 0, 0], [3, 7, 0, 5], [3, 7, 0, 5], [3, 7, 9, 5]]\nExample input-output arrays:\n[[0, 0, 9, 9, 0, 0, 0, 0, 3, 0], [5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 9, 0, 0, 0, 0, 0, 7, 0], [0, 0, 0, 0, 0, 0, 5, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 9, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 5, 0, 0, 0, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 3], [0, 0, 0, 0, 0, 0, 0, 0, 7, 0]] -> [[0, 0, 9, 0], [3, 0, 9, 5], [3, 7, 9, 5], [3, 7, 9, 5]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 5], [0, 0, 0, 0, 0, 0, 0, 7, 0, 0], [0, 0, 0, 0, 0, 5, 9, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 0, 0, 0, 0, 0, 0], [0, 5, 0, 0, 0, 0, 0, 9, 0, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 9], [0, 0, 0, 0, 0, 5, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 0, 5], [0, 0, 3, 0, 0, 0, 3, 0, 0, 0]] -> [[0, 0, 0, 5], [3, 0, 0, 5], [3, 0, 0, 5], [3, 0, 9, 5], [3, 0, 9, 5], [3, 7, 9, 5]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 3, 3, 5], [0, 0, 7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 9, 0, 0, 3, 0, 0, 0], [0, 0, 0, 7, 9, 5, 0, 0, 0, 0], [0, 0, 0, 3, 0, 0, 3, 5, 0, 0], [0, 0, 0, 0, 7, 0, 0, 0, 7, 0], [0, 0, 0, 0, 0, 0, 0, 0, 5, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[3, 7, 0, 0], [3, 7, 0, 5], [3, 7, 9, 5], [3, 7, 9, 5], [3, 7, 9, 5]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 3, 3, 5], [0, 0, 7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 9, 0, 0, 3, 0, 0, 0], [0, 0, 0, 7, 9, 5, 0, 0, 0, 0], [0, 0, 0, 3, 0, 0, 3, 5, 0, 0], [0, 0, 0, 0, 7, 0, 0, 0, 7, 0], [0, 0, 0, 0, 0, 0, 0, 0, 5, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[3, 7, 0, 0], [3, 7, 0, 5], [3, 7, 9, 5], [3, 7, 9, 5], [3, 7, 9, 5]]\n",
+            "Replicate 2": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 3, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 0, 0, 0, 0, 0, 7, 0], [0, 7, 9, 0, 0, 3, 0, 0, 0, 0], [0, 0, 0, 0, 7, 0, 9, 9, 9, 0], [0, 0, 0, 0, 0, 5, 9, 0, 0, 0], [0, 0, 0, 0, 7, 5, 0, 0, 0, 7], [0, 0, 9, 0, 3, 0, 7, 7, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 0, 0], [7, 0, 0, 0, 0, 0, 0, 0, 0, 5], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0]] -> [[0, 7, 0, 0], [0, 7, 0, 0], [0, 7, 9, 5], [0, 7, 9, 5], [0, 7, 9, 5], [3, 7, 9, 5], [3, 7, 9, 5], [3, 7, 9, 5]]\nExample input-output arrays:\n[[5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [9, 0, 0, 3, 0, 0, 0, 0, 0, 9], [3, 0, 0, 0, 0, 0, 7, 5, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [7, 0, 0, 0, 9, 0, 0, 0, 0, 0], [0, 9, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 9, 0, 0, 0, 0, 0, 0], [9, 0, 0, 9, 0, 0, 0, 0, 0, 0], [0, 9, 0, 0, 0, 7, 0, 0, 9, 0], [7, 0, 0, 7, 9, 0, 0, 0, 0, 0]] -> [[0, 0, 9, 0], [0, 0, 9, 0], [0, 0, 9, 0], [0, 0, 9, 0], [0, 0, 9, 0], [0, 7, 9, 0], [0, 7, 9, 0], [3, 7, 9, 0], [3, 7, 9, 5], [3, 7, 9, 5]]\nExample input-output arrays:\n[[3, 0, 0, 0, 3, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 0, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 3, 0, 5, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 0, 0, 0], [5, 0, 0, 7, 0, 0, 0, 7, 0, 0], [7, 0, 0, 0, 0, 9, 7, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 0, 7, 0, 0, 0]] -> [[3, 7, 0, 5], [3, 7, 0, 5], [3, 7, 0, 5], [3, 7, 9, 5], [3, 7, 9, 5]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 0, 0, 3, 0, 0, 7, 0], [0, 0, 0, 3, 0, 0, 7, 9, 0, 0], [0, 0, 0, 9, 5, 0, 0, 0, 0, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 5, 0, 0, 0], [0, 0, 7, 0, 0, 0, 0, 0, 0, 0], [0, 7, 3, 0, 5, 7, 0, 0, 0, 0], [0, 0, 9, 0, 0, 0, 0, 0, 0, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5]] -> [[0, 0, 0, 5], [0, 7, 0, 5], [3, 7, 0, 5], [3, 7, 9, 5], [3, 7, 9, 5], [3, 7, 9, 5]]\nExample input-output arrays:\n[[3, 0, 0, 0, 3, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 0, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 3, 0, 5, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 0, 0, 0], [5, 0, 0, 7, 0, 0, 0, 7, 0, 0], [7, 0, 0, 0, 0, 9, 7, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 0, 7, 0, 0, 0]] -> [[3, 7, 0, 5], [3, 7, 0, 5], [3, 7, 0, 5], [3, 7, 9, 5], [3, 7, 9, 5]]\nExample input-output arrays:\n[[0, 0, 9, 9, 0, 0, 0, 0, 3, 0], [5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 9, 0, 0, 0, 0, 0, 7, 0], [0, 0, 0, 0, 0, 0, 5, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 9, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 5, 0, 0, 0, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 3], [0, 0, 0, 0, 0, 0, 0, 0, 7, 0]] -> [[0, 0, 9, 0], [3, 0, 9, 5], [3, 7, 9, 5], [3, 7, 9, 5]]\n",
+            "Replicate 3": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[5, 0, 0, 9, 0, 0, 0, 7, 0, 0], [5, 0, 5, 0, 0, 0, 3, 0, 7, 0], [0, 0, 9, 0, 5, 0, 0, 9, 0, 5], [0, 7, 0, 7, 0, 0, 0, 0, 5, 0], [0, 0, 9, 0, 3, 0, 0, 0, 9, 7], [7, 0, 9, 0, 0, 0, 0, 7, 5, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 0], [0, 0, 0, 5, 0, 0, 0, 3, 3, 3], [0, 3, 0, 0, 0, 0, 0, 0, 5, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 5], [0, 0, 0, 5], [3, 7, 0, 5], [3, 7, 9, 5], [3, 7, 9, 5], [3, 7, 9, 5], [3, 7, 9, 5], [3, 7, 9, 5], [3, 7, 9, 5]]\nExample input-output arrays:\n[[5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [9, 0, 0, 3, 0, 0, 0, 0, 0, 9], [3, 0, 0, 0, 0, 0, 7, 5, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [7, 0, 0, 0, 9, 0, 0, 0, 0, 0], [0, 9, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 9, 0, 0, 0, 0, 0, 0], [9, 0, 0, 9, 0, 0, 0, 0, 0, 0], [0, 9, 0, 0, 0, 7, 0, 0, 9, 0], [7, 0, 0, 7, 9, 0, 0, 0, 0, 0]] -> [[0, 0, 9, 0], [0, 0, 9, 0], [0, 0, 9, 0], [0, 0, 9, 0], [0, 0, 9, 0], [0, 7, 9, 0], [0, 7, 9, 0], [3, 7, 9, 0], [3, 7, 9, 5], [3, 7, 9, 5]]\nExample input-output arrays:\n[[3, 0, 0, 0, 3, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 0, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 3, 0, 5, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 0, 0, 0], [5, 0, 0, 7, 0, 0, 0, 7, 0, 0], [7, 0, 0, 0, 0, 9, 7, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 0, 7, 0, 0, 0]] -> [[3, 7, 0, 5], [3, 7, 0, 5], [3, 7, 0, 5], [3, 7, 9, 5], [3, 7, 9, 5]]\nExample input-output arrays:\n[[3, 0, 0, 0, 3, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 0, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 3, 0, 5, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 0, 0, 0], [5, 0, 0, 7, 0, 0, 0, 7, 0, 0], [7, 0, 0, 0, 0, 9, 7, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 0, 7, 0, 0, 0]] -> [[3, 7, 0, 5], [3, 7, 0, 5], [3, 7, 0, 5], [3, 7, 9, 5], [3, 7, 9, 5]]\nExample input-output arrays:\n[[5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 9, 0, 0, 0, 9, 3, 0, 0], [0, 0, 0, 5, 3, 0, 0, 0, 0, 0], [9, 0, 0, 9, 0, 0, 3, 0, 0, 0], [0, 0, 0, 7, 0, 0, 0, 0, 9, 0], [0, 0, 0, 0, 0, 7, 5, 5, 0, 0], [0, 0, 3, 0, 3, 5, 5, 0, 7, 0], [3, 5, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 7, 0, 3, 0, 7], [7, 7, 9, 0, 0, 0, 0, 9, 5, 0]] -> [[0, 0, 0, 5], [3, 7, 9, 5], [3, 7, 9, 5], [3, 7, 9, 5], [3, 7, 9, 5], [3, 7, 9, 5], [3, 7, 9, 5], [3, 7, 9, 5]]\nExample input-output arrays:\n[[0, 3, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 0, 0, 0, 0, 0, 7, 0], [0, 7, 9, 0, 0, 3, 0, 0, 0, 0], [0, 0, 0, 0, 7, 0, 9, 9, 9, 0], [0, 0, 0, 0, 0, 5, 9, 0, 0, 0], [0, 0, 0, 0, 7, 5, 0, 0, 0, 7], [0, 0, 9, 0, 3, 0, 7, 7, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 0, 0], [7, 0, 0, 0, 0, 0, 0, 0, 0, 5], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0]] -> [[0, 7, 0, 0], [0, 7, 0, 0], [0, 7, 9, 5], [0, 7, 9, 5], [0, 7, 9, 5], [3, 7, 9, 5], [3, 7, 9, 5], [3, 7, 9, 5]]\n",
+            "Replicate 4": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 5, 0, 0], [0, 3, 0, 0, 0, 3, 0, 0, 0, 0], [7, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5, 0, 0, 0, 3, 0, 7, 0, 0, 7], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 7, 9, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 7, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 5, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0, 0]] -> [[3, 7, 0, 0], [3, 7, 0, 0], [3, 7, 0, 5], [3, 7, 0, 5], [3, 7, 9, 5]]\nExample input-output arrays:\n[[5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [9, 0, 0, 3, 0, 0, 0, 0, 0, 9], [3, 0, 0, 0, 0, 0, 7, 5, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [7, 0, 0, 0, 9, 0, 0, 0, 0, 0], [0, 9, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 9, 0, 0, 0, 0, 0, 0], [9, 0, 0, 9, 0, 0, 0, 0, 0, 0], [0, 9, 0, 0, 0, 7, 0, 0, 9, 0], [7, 0, 0, 7, 9, 0, 0, 0, 0, 0]] -> [[0, 0, 9, 0], [0, 0, 9, 0], [0, 0, 9, 0], [0, 0, 9, 0], [0, 0, 9, 0], [0, 7, 9, 0], [0, 7, 9, 0], [3, 7, 9, 0], [3, 7, 9, 5], [3, 7, 9, 5]]\nExample input-output arrays:\n[[0, 3, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 0, 0, 0, 0, 0, 7, 0], [0, 7, 9, 0, 0, 3, 0, 0, 0, 0], [0, 0, 0, 0, 7, 0, 9, 9, 9, 0], [0, 0, 0, 0, 0, 5, 9, 0, 0, 0], [0, 0, 0, 0, 7, 5, 0, 0, 0, 7], [0, 0, 9, 0, 3, 0, 7, 7, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 0, 0], [7, 0, 0, 0, 0, 0, 0, 0, 0, 5], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0]] -> [[0, 7, 0, 0], [0, 7, 0, 0], [0, 7, 9, 5], [0, 7, 9, 5], [0, 7, 9, 5], [3, 7, 9, 5], [3, 7, 9, 5], [3, 7, 9, 5]]\nExample input-output arrays:\n[[0, 0, 9, 9, 0, 0, 0, 0, 3, 0], [5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 9, 0, 0, 0, 0, 0, 7, 0], [0, 0, 0, 0, 0, 0, 5, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 9, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 5, 0, 0, 0, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 3], [0, 0, 0, 0, 0, 0, 0, 0, 7, 0]] -> [[0, 0, 9, 0], [3, 0, 9, 5], [3, 7, 9, 5], [3, 7, 9, 5]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 5], [0, 0, 0, 0, 0, 0, 0, 7, 0, 0], [0, 0, 0, 0, 0, 5, 9, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 0, 0, 0, 0, 0, 0], [0, 5, 0, 0, 0, 0, 0, 9, 0, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 9], [0, 0, 0, 0, 0, 5, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 0, 5], [0, 0, 3, 0, 0, 0, 3, 0, 0, 0]] -> [[0, 0, 0, 5], [3, 0, 0, 5], [3, 0, 0, 5], [3, 0, 9, 5], [3, 0, 9, 5], [3, 7, 9, 5]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 5, 0, 0], [0, 3, 0, 0, 0, 3, 0, 0, 0, 0], [7, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5, 0, 0, 0, 3, 0, 7, 0, 0, 7], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 7, 9, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 7, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 5, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0, 0]] -> [[3, 7, 0, 0], [3, 7, 0, 0], [3, 7, 0, 5], [3, 7, 0, 5], [3, 7, 9, 5]]\n"
+        },
+        "L3": {
+            "Replicate 0": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 5, 0, 0], [0, 3, 0, 0, 0, 3, 0, 0, 0, 0], [7, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5, 0, 0, 0, 3, 0, 7, 0, 0, 7], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 7, 9, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 7, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 5, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0, 0]] -> [[3, 7, 0, 0], [3, 7, 0, 0], [3, 7, 0, 5], [3, 7, 0, 5], [3, 7, 9, 5]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[3, 0, 0, 0, 3, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 3, 0, 5, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 0, 0, 0], [5, 0, 0, 7, 0, 0, 0, 7, 0, 0], [7, 0, 0, 0, 0, 0, 7, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 0, 7, 0, 0, 0]] -> [[3, 7, 0, 5], [3, 7, 0, 5], [3, 7, 0, 5], [3, 7, 0, 5], [3, 7, 0, 5]]\nExample input-output arrays:\n[[0, 3, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 0, 0, 0, 0, 0, 7, 0], [0, 7, 9, 0, 0, 3, 0, 0, 0, 0], [0, 0, 0, 0, 7, 0, 9, 9, 9, 0], [0, 0, 0, 0, 0, 5, 9, 0, 0, 0], [0, 0, 0, 0, 7, 5, 0, 0, 0, 7], [0, 0, 9, 0, 3, 0, 7, 7, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 0, 0], [7, 0, 0, 0, 0, 0, 0, 0, 0, 5], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0]] -> [[0, 7, 0, 0], [0, 7, 0, 0], [0, 7, 9, 5], [0, 7, 9, 5], [0, 7, 9, 5], [3, 7, 9, 5], [3, 7, 9, 5], [3, 7, 9, 5]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 5, 4, 4, 3, 4, 4, 7, 4], [4, 4, 4, 3, 4, 4, 7, 9, 4, 4], [4, 4, 4, 9, 5, 4, 4, 4, 4, 3], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 5, 4, 4, 4], [4, 4, 7, 4, 4, 4, 4, 4, 4, 4], [4, 7, 3, 4, 5, 7, 4, 4, 4, 4], [4, 4, 9, 4, 4, 4, 4, 4, 4, 5], [4, 4, 4, 4, 4, 4, 4, 4, 4, 5]] -> [[4, 4, 4, 5], [4, 7, 4, 5], [3, 7, 4, 5], [3, 7, 9, 5], [3, 7, 9, 5], [3, 7, 9, 5]]\nExample input-output arrays:\n[[0, 0, 5, 3, 0, 0, 0, 0, 0, 0], [5, 0, 9, 0, 0, 0, 0, 0, 3, 0], [3, 0, 0, 0, 0, 0, 0, 0, 7, 5], [0, 9, 0, 0, 7, 0, 0, 5, 0, 0], [5, 0, 0, 0, 3, 0, 0, 3, 0, 0], [9, 0, 0, 9, 0, 0, 0, 9, 0, 0], [9, 0, 0, 0, 0, 3, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 7, 7], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 5, 0, 0, 0, 0, 0, 3]] -> [[3, 0, 0, 0], [3, 0, 0, 5], [3, 0, 9, 5], [3, 0, 9, 5], [3, 7, 9, 5], [3, 7, 9, 5], [3, 7, 9, 5], [3, 7, 9, 5]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 7, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 0], [0, 0, 3, 0, 0, 0, 0, 9, 0, 0], [0, 9, 7, 9, 0, 0, 0, 0, 0, 0], [0, 0, 0, 7, 0, 0, 0, 0, 9, 0], [0, 0, 0, 9, 0, 9, 0, 0, 0, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 0, 0, 0, 0, 0, 3], [0, 0, 0, 0, 3, 0, 0, 7, 7, 3]] -> [[3, 0, 0, 0], [3, 0, 0, 0], [3, 0, 9, 0], [3, 7, 9, 0], [3, 7, 9, 0], [3, 7, 9, 0], [3, 7, 9, 0], [3, 7, 9, 0]]\n",
+            "Replicate 1": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 9, 9, 0, 0, 0, 0, 3, 0], [5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 9, 0, 0, 0, 0, 0, 7, 0], [0, 0, 0, 0, 0, 0, 5, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 9, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 5, 0, 0, 0, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 3], [0, 0, 0, 0, 0, 0, 0, 0, 7, 0]] -> [[0, 0, 9, 0], [3, 0, 9, 5], [3, 7, 9, 5], [3, 7, 9, 5]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 0, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5, 0, 0, 7, 0, 0, 0, 7, 0, 0], [7, 0, 0, 0, 0, 9, 7, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 0, 7, 0, 0, 0]] -> [[0, 7, 0, 5], [0, 7, 0, 5], [0, 7, 0, 5], [0, 7, 9, 5], [0, 7, 9, 5]]\nExample input-output arrays:\n[[0, 0, 0, 7, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 0], [0, 0, 3, 0, 0, 0, 5, 9, 0, 0], [0, 9, 7, 9, 0, 0, 0, 0, 0, 0], [0, 0, 0, 7, 0, 0, 0, 0, 9, 0], [0, 0, 0, 9, 5, 9, 0, 0, 0, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 0, 0, 0, 0, 0, 3], [0, 0, 0, 0, 3, 0, 0, 7, 7, 3]] -> [[3, 0, 0, 0], [3, 0, 0, 0], [3, 0, 9, 0], [3, 7, 9, 0], [3, 7, 9, 0], [3, 7, 9, 0], [3, 7, 9, 5], [3, 7, 9, 5]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 3, 0, 0, 7, 0], [0, 0, 0, 3, 0, 0, 7, 9, 0, 0], [0, 0, 0, 9, 0, 0, 0, 0, 0, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 7, 0, 0, 0, 0, 0, 0, 0], [0, 7, 3, 0, 0, 7, 0, 0, 0, 0], [0, 0, 9, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 0], [0, 7, 0, 0], [3, 7, 0, 0], [3, 7, 9, 0], [3, 7, 9, 0], [3, 7, 9, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 5], [0, 0, 0, 0, 0, 0, 0, 7, 0, 0], [0, 0, 0, 0, 0, 5, 9, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 0, 0, 0, 0, 0, 0], [0, 5, 0, 0, 0, 0, 0, 9, 0, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 9], [0, 0, 0, 0, 0, 5, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 0, 5], [0, 0, 3, 0, 0, 0, 3, 0, 0, 0]] -> [[0, 0, 0, 5], [3, 0, 0, 5], [3, 0, 0, 5], [3, 0, 9, 5], [3, 0, 9, 5], [3, 7, 9, 5]]\nCounterfactual: Now imagine that we intervened on the previous input by rotating or flipping it.\n[[0, 0, 0, 0, 3, 0, 0, 7, 7, 3], [0, 0, 3, 0, 0, 0, 0, 0, 0, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 9, 5, 9, 0, 0, 0, 3], [0, 0, 0, 7, 0, 0, 0, 0, 9, 0], [0, 9, 7, 9, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 0, 0, 5, 9, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0, 0], [0, 0, 0, 7, 0, 0, 0, 0, 0, 0]] -> [[3, 0, 0, 0], [3, 0, 0, 0], [3, 0, 9, 0], [3, 7, 9, 0], [3, 7, 9, 0], [3, 7, 9, 0], [3, 7, 9, 5], [3, 7, 9, 5]]\n",
+            "Replicate 2": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 5, 3, 0, 0, 0, 0, 0, 0], [5, 0, 9, 0, 0, 0, 0, 0, 3, 0], [3, 0, 0, 0, 0, 0, 0, 0, 7, 5], [0, 9, 0, 0, 7, 0, 0, 5, 0, 0], [5, 0, 0, 0, 3, 0, 0, 3, 0, 0], [9, 0, 0, 9, 0, 0, 0, 9, 0, 0], [9, 0, 0, 0, 0, 3, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 7, 7], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 5, 0, 0, 0, 0, 0, 3]] -> [[3, 0, 0, 0], [3, 0, 0, 5], [3, 0, 9, 5], [3, 0, 9, 5], [3, 7, 9, 5], [3, 7, 9, 5], [3, 7, 9, 5], [3, 7, 9, 5]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[3, 0, 0, 0, 3, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 3, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 0, 0, 0], [0, 0, 0, 7, 0, 0, 0, 7, 0, 0], [7, 0, 0, 0, 0, 9, 7, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 7, 0, 0, 0]] -> [[3, 7, 0, 0], [3, 7, 0, 0], [3, 7, 0, 0], [3, 7, 9, 0], [3, 7, 9, 0]]\nExample input-output arrays:\n[[0, 0, 9, 9, 0, 0, 0, 0, 3, 0], [5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 9, 0, 0, 0, 0, 0, 7, 0], [0, 0, 0, 0, 0, 0, 5, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 9, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 5, 0, 0, 0, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 3], [0, 0, 0, 0, 0, 0, 0, 0, 7, 0]] -> [[0, 0, 9, 0], [3, 0, 9, 5], [3, 7, 9, 5], [3, 7, 9, 5]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 3, 0, 0, 7, 0], [0, 0, 0, 3, 0, 0, 7, 9, 0, 0], [0, 0, 0, 9, 0, 0, 0, 0, 0, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 7, 0, 0, 0, 0, 0, 0, 0], [0, 7, 3, 0, 0, 7, 0, 0, 0, 0], [0, 0, 9, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 0], [0, 7, 0, 0], [3, 7, 0, 0], [3, 7, 9, 0], [3, 7, 9, 0], [3, 7, 9, 0]]\nExample input-output arrays:\n[[0, 0, 5, 3, 0, 0, 0, 0, 0, 0], [5, 0, 9, 0, 0, 0, 0, 0, 3, 0], [3, 0, 0, 0, 0, 0, 0, 0, 7, 5], [0, 9, 0, 0, 7, 0, 0, 5, 0, 0], [5, 0, 0, 0, 3, 0, 0, 3, 0, 0], [9, 0, 0, 9, 0, 0, 0, 9, 0, 0], [9, 0, 0, 0, 0, 3, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 7, 7], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 5, 0, 0, 0, 0, 0, 3]] -> [[3, 0, 0, 0], [3, 0, 0, 5], [3, 0, 9, 5], [3, 0, 9, 5], [3, 7, 9, 5], [3, 7, 9, 5], [3, 7, 9, 5], [3, 7, 9, 5]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[6, 6, 6, 7, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 3, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 3, 6], [6, 6, 3, 6, 6, 6, 5, 9, 6, 6], [6, 9, 7, 9, 6, 6, 6, 6, 6, 6], [6, 6, 6, 7, 6, 6, 6, 6, 9, 6], [6, 6, 6, 9, 5, 9, 6, 6, 6, 3], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 3, 6, 6, 6, 6, 6, 6, 3], [6, 6, 6, 6, 3, 6, 6, 7, 7, 3]] -> [[3, 6, 6, 6], [3, 6, 6, 6], [3, 6, 9, 6], [3, 7, 9, 6], [3, 7, 9, 6], [3, 7, 9, 6], [3, 7, 9, 5], [3, 7, 9, 5]]\n",
+            "Replicate 3": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [9, 0, 0, 3, 0, 0, 0, 0, 0, 9], [3, 0, 0, 0, 0, 0, 7, 5, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [7, 0, 0, 0, 9, 0, 0, 0, 0, 0], [0, 9, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 9, 0, 0, 0, 0, 0, 0], [9, 0, 0, 9, 0, 0, 0, 0, 0, 0], [0, 9, 0, 0, 0, 7, 0, 0, 9, 0], [7, 0, 0, 7, 9, 0, 0, 0, 0, 0]] -> [[0, 0, 9, 0], [0, 0, 9, 0], [0, 0, 9, 0], [0, 0, 9, 0], [0, 0, 9, 0], [0, 7, 9, 0], [0, 7, 9, 0], [3, 7, 9, 0], [3, 7, 9, 5], [3, 7, 9, 5]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[3, 0, 0, 0, 3, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 3, 0, 5, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 0, 0, 0], [5, 0, 0, 7, 0, 0, 0, 7, 0, 0], [7, 0, 0, 0, 0, 0, 7, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 0, 7, 0, 0, 0]] -> [[3, 7, 0, 5], [3, 7, 0, 5], [3, 7, 0, 5], [3, 7, 0, 5], [3, 7, 0, 5]]\nExample input-output arrays:\n[[3, 0, 0, 0, 3, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 0, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 3, 0, 5, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 0, 0, 0], [5, 0, 0, 7, 0, 0, 0, 7, 0, 0], [7, 0, 0, 0, 0, 9, 7, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 0, 7, 0, 0, 0]] -> [[3, 7, 0, 5], [3, 7, 0, 5], [3, 7, 0, 5], [3, 7, 9, 5], [3, 7, 9, 5]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 0, 0, 3, 0, 0, 7, 0], [0, 0, 0, 3, 0, 0, 7, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 0, 0, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 5, 0, 0, 0], [0, 0, 7, 0, 0, 0, 0, 0, 0, 0], [0, 7, 3, 0, 5, 7, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5]] -> [[0, 0, 0, 5], [0, 7, 0, 5], [3, 7, 0, 5], [3, 7, 0, 5], [3, 7, 0, 5], [3, 7, 0, 5]]\nExample input-output arrays:\n[[3, 0, 0, 0, 3, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 0, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 3, 0, 5, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 0, 0, 0], [5, 0, 0, 7, 0, 0, 0, 7, 0, 0], [7, 0, 0, 0, 0, 9, 7, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 0, 7, 0, 0, 0]] -> [[3, 7, 0, 5], [3, 7, 0, 5], [3, 7, 0, 5], [3, 7, 9, 5], [3, 7, 9, 5]]\nCounterfactual: Now imagine that we intervened on the previous input by rotating or flipping it.\n[[0, 0, 0, 0, 3, 0, 0, 7, 7, 3], [0, 0, 3, 0, 0, 0, 0, 0, 0, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 9, 5, 9, 0, 0, 0, 3], [0, 0, 0, 7, 0, 0, 0, 0, 9, 0], [0, 9, 7, 9, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 0, 0, 5, 9, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0, 0], [0, 0, 0, 7, 0, 0, 0, 0, 0, 0]] -> [[3, 0, 0, 0], [3, 0, 0, 0], [3, 0, 9, 0], [3, 7, 9, 0], [3, 7, 9, 0], [3, 7, 9, 0], [3, 7, 9, 5], [3, 7, 9, 5]]\n",
+            "Replicate 4": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[3, 0, 0, 0, 3, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 0, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 3, 0, 5, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 0, 0, 0], [5, 0, 0, 7, 0, 0, 0, 7, 0, 0], [7, 0, 0, 0, 0, 9, 7, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 0, 7, 0, 0, 0]] -> [[3, 7, 0, 5], [3, 7, 0, 5], [3, 7, 0, 5], [3, 7, 9, 5], [3, 7, 9, 5]]\nCounterfactual: Now imagine that we intervened on the previous input by rotating or flipping it.\n[[5, 0, 0, 0, 0, 0, 7, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [7, 0, 0, 0, 0, 9, 7, 5, 0, 0], [5, 0, 0, 7, 0, 0, 0, 7, 0, 0], [0, 0, 0, 0, 0, 0, 3, 0, 0, 0], [0, 0, 0, 3, 0, 5, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 0, 9], [3, 0, 0, 0, 3, 0, 0, 3, 0, 0]] -> [[3, 7, 0, 5], [3, 7, 0, 5], [3, 7, 0, 5], [3, 7, 9, 5], [3, 7, 9, 5]]\nExample input-output arrays:\n[[5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [9, 0, 0, 3, 0, 0, 0, 0, 0, 9], [3, 0, 0, 0, 0, 0, 7, 5, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [7, 0, 0, 0, 9, 0, 0, 0, 0, 0], [0, 9, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 9, 0, 0, 0, 0, 0, 0], [9, 0, 0, 9, 0, 0, 0, 0, 0, 0], [0, 9, 0, 0, 0, 7, 0, 0, 9, 0], [7, 0, 0, 7, 9, 0, 0, 0, 0, 0]] -> [[0, 0, 9, 0], [0, 0, 9, 0], [0, 0, 9, 0], [0, 0, 9, 0], [0, 0, 9, 0], [0, 7, 9, 0], [0, 7, 9, 0], [3, 7, 9, 0], [3, 7, 9, 5], [3, 7, 9, 5]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 5, 4, 4, 3, 4, 4, 7, 4], [4, 4, 4, 3, 4, 4, 7, 9, 4, 4], [4, 4, 4, 9, 5, 4, 4, 4, 4, 3], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 5, 4, 4, 4], [4, 4, 7, 4, 4, 4, 4, 4, 4, 4], [4, 7, 3, 4, 5, 7, 4, 4, 4, 4], [4, 4, 9, 4, 4, 4, 4, 4, 4, 5], [4, 4, 4, 4, 4, 4, 4, 4, 4, 5]] -> [[4, 4, 4, 5], [4, 7, 4, 5], [3, 7, 4, 5], [3, 7, 9, 5], [3, 7, 9, 5], [3, 7, 9, 5]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 3, 3, 5], [0, 0, 7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 9, 0, 0, 3, 0, 0, 0], [0, 0, 0, 7, 9, 5, 0, 0, 0, 0], [0, 0, 0, 3, 0, 0, 3, 5, 0, 0], [0, 0, 0, 0, 7, 0, 0, 0, 7, 0], [0, 0, 0, 0, 0, 0, 0, 0, 5, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[3, 7, 0, 0], [3, 7, 0, 5], [3, 7, 9, 5], [3, 7, 9, 5], [3, 7, 9, 5]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[8, 8, 8, 7, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 3, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 3, 8], [8, 8, 3, 8, 8, 8, 5, 9, 8, 8], [8, 9, 7, 9, 8, 8, 8, 8, 8, 8], [8, 8, 8, 7, 8, 8, 8, 8, 9, 8], [8, 8, 8, 9, 5, 9, 8, 8, 8, 3], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 3, 8, 8, 8, 8, 8, 8, 3], [8, 8, 8, 8, 3, 8, 8, 7, 7, 3]] -> [[3, 8, 8, 8], [3, 8, 8, 8], [3, 8, 9, 8], [3, 7, 9, 8], [3, 7, 9, 8], [3, 7, 9, 8], [3, 7, 9, 5], [3, 7, 9, 5]]\n"
+        }
+    },
+    "SCMev5t": {
+        "L1": {
+            "Replicate 0": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 1, 0, 9, 9, 0, 0, 0], [0, 0, 1, 1, 0, 9, 9, 0, 0, 0], [0, 0, 1, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 1, 1, 0], [0, 0, 0, 0, 0, 0, 1, 1, 1, 0], [0, 0, 0, 0, 0, 0, 1, 1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[9, 0], [1, 1]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 1, 1, 0, 0, 0, 0, 0, 0], [0, 1, 1, 1, 0, 9, 9, 9, 0, 0], [0, 0, 0, 0, 0, 9, 9, 9, 0, 0], [0, 0, 9, 9, 0, 9, 9, 9, 0, 0], [0, 0, 9, 9, 0, 0, 0, 0, 0, 0], [0, 0, 9, 9, 0, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[1, 1], [9, 9]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2, 2, 0, 0], [0, 0, 0, 0, 0, 0, 2, 2, 0, 0], [0, 0, 0, 9, 9, 0, 0, 0, 0, 0], [0, 0, 0, 9, 9, 0, 9, 9, 0, 0], [0, 0, 0, 9, 9, 0, 9, 9, 0, 0], [0, 0, 0, 0, 0, 0, 9, 9, 0, 0], [0, 9, 9, 9, 0, 0, 0, 0, 0, 0], [0, 9, 9, 9, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[2, 0, 0], [9, 9, 9]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 2, 2, 0, 0, 1, 1, 0], [0, 0, 0, 2, 2, 0, 0, 1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 9, 9, 9, 0, 0, 0], [0, 0, 0, 0, 9, 9, 9, 0, 0, 0], [0, 0, 0, 0, 9, 9, 9, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[1], [2], [9]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 1, 1, 0, 0, 0, 0, 0, 0], [0, 1, 1, 1, 0, 0, 0, 0, 0, 0], [0, 1, 1, 1, 0, 9, 9, 9, 0, 0], [0, 0, 0, 0, 0, 9, 9, 9, 0, 0], [0, 0, 0, 0, 0, 9, 9, 9, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 9, 9, 0, 0, 0, 0, 0, 0, 0], [0, 9, 9, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[1, 0], [9, 9]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, 1, 0, 0, 0], [0, 9, 9, 9, 0, 1, 1, 0, 0, 0], [0, 9, 9, 9, 0, 0, 0, 0, 0, 0], [0, 9, 9, 9, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 1, 1, 0], [0, 0, 0, 0, 0, 0, 1, 1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[2, 0], [9, 0], [1, 1]]\n",
+            "Replicate 1": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 9, 9, 0, 0, 0, 1, 1, 1, 0], [0, 9, 9, 0, 0, 0, 1, 1, 1, 0], [0, 9, 9, 0, 0, 0, 1, 1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[9, 0], [1, 1]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 9, 9, 0, 0, 0, 1, 1, 1, 0], [0, 9, 9, 0, 0, 0, 1, 1, 1, 0], [0, 9, 9, 0, 0, 0, 1, 1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[9, 0], [1, 1]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 9, 9, 0, 0, 0, 1, 1, 1, 0], [0, 9, 9, 0, 0, 0, 1, 1, 1, 0], [0, 9, 9, 0, 0, 0, 1, 1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[9, 0], [1, 1]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, 1, 0, 0, 0], [0, 9, 9, 9, 0, 1, 1, 0, 0, 0], [0, 9, 9, 9, 0, 0, 0, 0, 0, 0], [0, 9, 9, 9, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 1, 1, 0], [0, 0, 0, 0, 0, 0, 1, 1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[2, 0], [9, 0], [1, 1]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 9, 9, 0], [0, 1, 1, 0, 0, 0, 0, 9, 9, 0], [0, 1, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 1, 0], [0, 0, 0, 0, 1, 1, 0, 1, 1, 0], [0, 0, 0, 0, 1, 1, 0, 1, 1, 0], [0, 0, 0, 0, 1, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[9, 0, 0], [1, 1, 1]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 1, 0, 9, 9, 0, 0, 0], [0, 0, 1, 1, 0, 9, 9, 0, 0, 0], [0, 0, 1, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 1, 1, 0], [0, 0, 0, 0, 0, 0, 1, 1, 1, 0], [0, 0, 0, 0, 0, 0, 1, 1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[9, 0], [1, 1]]\n",
+            "Replicate 2": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 1, 1, 0, 0, 0, 0, 0, 0], [0, 1, 1, 1, 0, 9, 9, 9, 0, 0], [0, 0, 0, 0, 0, 9, 9, 9, 0, 0], [0, 0, 9, 9, 0, 9, 9, 9, 0, 0], [0, 0, 9, 9, 0, 0, 0, 0, 0, 0], [0, 0, 9, 9, 0, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[1, 1], [9, 9]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, 1, 0, 0, 0], [0, 9, 9, 9, 0, 1, 1, 0, 0, 0], [0, 9, 9, 9, 0, 0, 0, 0, 0, 0], [0, 9, 9, 9, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 1, 1, 0], [0, 0, 0, 0, 0, 0, 1, 1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[2, 0], [9, 0], [1, 1]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 1, 1, 0, 0, 0, 0, 0, 0], [0, 1, 1, 1, 0, 9, 9, 9, 0, 0], [0, 0, 0, 0, 0, 9, 9, 9, 0, 0], [0, 0, 9, 9, 0, 9, 9, 9, 0, 0], [0, 0, 9, 9, 0, 0, 0, 0, 0, 0], [0, 0, 9, 9, 0, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[1, 1], [9, 9]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2, 2, 0, 0], [0, 0, 0, 0, 0, 0, 2, 2, 0, 0], [0, 0, 0, 9, 9, 0, 0, 0, 0, 0], [0, 0, 0, 9, 9, 0, 9, 9, 0, 0], [0, 0, 0, 9, 9, 0, 9, 9, 0, 0], [0, 0, 0, 0, 0, 0, 9, 9, 0, 0], [0, 9, 9, 9, 0, 0, 0, 0, 0, 0], [0, 9, 9, 9, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[2, 0, 0], [9, 9, 9]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 9, 9, 9, 0, 0, 0], [0, 0, 0, 0, 9, 9, 9, 0, 0, 0], [0, 0, 0, 0, 9, 9, 9, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 1, 1, 0, 2, 2, 2, 0, 0], [0, 1, 1, 1, 0, 2, 2, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[1], [2], [9]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2, 2, 0, 0], [0, 0, 0, 0, 0, 0, 2, 2, 0, 0], [0, 0, 0, 9, 9, 0, 0, 0, 0, 0], [0, 0, 0, 9, 9, 0, 9, 9, 0, 0], [0, 0, 0, 9, 9, 0, 9, 9, 0, 0], [0, 0, 0, 0, 0, 0, 9, 9, 0, 0], [0, 9, 9, 9, 0, 0, 0, 0, 0, 0], [0, 9, 9, 9, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[2, 0, 0], [9, 9, 9]]\n",
+            "Replicate 3": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 1, 0, 9, 9, 0, 0, 0], [0, 0, 1, 1, 0, 9, 9, 0, 0, 0], [0, 0, 1, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 1, 1, 0], [0, 0, 0, 0, 0, 0, 1, 1, 1, 0], [0, 0, 0, 0, 0, 0, 1, 1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[9, 0], [1, 1]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 9, 9, 0], [0, 1, 1, 0, 0, 0, 0, 9, 9, 0], [0, 1, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 1, 0], [0, 0, 0, 0, 1, 1, 0, 1, 1, 0], [0, 0, 0, 0, 1, 1, 0, 1, 1, 0], [0, 0, 0, 0, 1, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[9, 0, 0], [1, 1, 1]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 9, 9, 9, 0, 0, 0], [0, 0, 0, 0, 9, 9, 9, 0, 0, 0], [0, 0, 0, 0, 9, 9, 9, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 1, 1, 0, 2, 2, 2, 0, 0], [0, 1, 1, 1, 0, 2, 2, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[1], [2], [9]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 1, 0, 0, 0, 0, 0, 0], [0, 0, 1, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, 1, 0, 0, 0], [0, 9, 9, 9, 0, 1, 1, 0, 0, 0], [0, 9, 9, 9, 0, 1, 1, 0, 0, 0], [0, 9, 9, 9, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 2, 0, 0, 0], [0, 0, 0, 0, 0, 2, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[2, 0], [9, 0], [1, 1]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 1, 1, 0, 0, 0, 0, 0, 0], [0, 1, 1, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 9, 9, 9, 0, 0], [0, 0, 9, 9, 0, 9, 9, 9, 0, 0], [0, 0, 9, 9, 0, 0, 0, 0, 0, 0], [0, 0, 9, 9, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[1, 0], [9, 9]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 9, 9, 9, 0, 0, 0], [0, 0, 0, 0, 9, 9, 9, 0, 0, 0], [0, 0, 0, 0, 9, 9, 9, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 1, 1, 0, 2, 2, 2, 0, 0], [0, 1, 1, 1, 0, 2, 2, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[1], [2], [9]]\n",
+            "Replicate 4": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, 1, 0, 0, 0], [0, 9, 9, 9, 0, 1, 1, 0, 0, 0], [0, 9, 9, 9, 0, 0, 0, 0, 0, 0], [0, 9, 9, 9, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 1, 1, 0], [0, 0, 0, 0, 0, 0, 1, 1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[2, 0], [9, 0], [1, 1]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, 1, 0, 0, 0], [0, 9, 9, 9, 0, 1, 1, 0, 0, 0], [0, 9, 9, 9, 0, 0, 0, 0, 0, 0], [0, 9, 9, 9, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 1, 1, 0], [0, 0, 0, 0, 0, 0, 1, 1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[2, 0], [9, 0], [1, 1]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, 1, 0, 0, 0], [0, 9, 9, 9, 0, 1, 1, 0, 0, 0], [0, 9, 9, 9, 0, 0, 0, 0, 0, 0], [0, 9, 9, 9, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 1, 1, 0], [0, 0, 0, 0, 0, 0, 1, 1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[2, 0], [9, 0], [1, 1]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2, 2, 0, 0], [0, 0, 0, 0, 0, 0, 2, 2, 0, 0], [0, 0, 0, 9, 9, 0, 0, 0, 0, 0], [0, 0, 0, 9, 9, 0, 9, 9, 0, 0], [0, 0, 0, 9, 9, 0, 9, 9, 0, 0], [0, 0, 0, 0, 0, 0, 9, 9, 0, 0], [0, 9, 9, 9, 0, 0, 0, 0, 0, 0], [0, 9, 9, 9, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[2, 0, 0], [9, 9, 9]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 1, 1, 0, 0, 0, 0, 0], [0, 0, 1, 1, 1, 0, 0, 0, 0, 0], [0, 0, 1, 1, 1, 0, 1, 1, 1, 0], [0, 0, 0, 0, 0, 0, 1, 1, 1, 0], [0, 9, 9, 9, 0, 0, 1, 1, 1, 0], [0, 9, 9, 9, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[9, 0], [1, 1]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 1, 1, 0, 0, 0, 0, 0], [0, 0, 1, 1, 1, 0, 0, 0, 0, 0], [0, 0, 1, 1, 1, 0, 1, 1, 1, 0], [0, 0, 0, 0, 0, 0, 1, 1, 1, 0], [0, 9, 9, 9, 0, 0, 1, 1, 1, 0], [0, 9, 9, 9, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[9, 0], [1, 1]]\n"
+        },
+        "L3": {
+            "Replicate 0": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 1, 1, 0, 0, 0, 0, 0, 0], [0, 1, 1, 1, 0, 0, 0, 0, 0, 0], [0, 1, 1, 1, 0, 9, 9, 9, 0, 0], [0, 0, 0, 0, 0, 9, 9, 9, 0, 0], [0, 0, 0, 0, 0, 9, 9, 9, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 9, 9, 0, 0, 0, 0, 0, 0, 0], [0, 9, 9, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[1, 0], [9, 9]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 1, 0, 0, 0, 0, 0, 0], [0, 0, 1, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 2, 0, 0, 0], [0, 0, 0, 0, 0, 2, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[2, 0], [0, 0], [1, 1]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 1, 1, 0, 0, 0, 0, 0, 0], [0, 1, 1, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 9, 9, 9, 0, 0], [0, 0, 9, 9, 0, 9, 9, 9, 0, 0], [0, 0, 9, 9, 0, 0, 0, 0, 0, 0], [0, 0, 9, 9, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[1, 0], [9, 9]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 1, 0], [0, 0, 0, 0, 1, 1, 0, 1, 1, 0], [0, 0, 0, 0, 1, 1, 0, 1, 1, 0], [0, 0, 0, 0, 1, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0], [1, 1, 1]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 9, 9, 0], [0, 1, 1, 0, 0, 0, 0, 9, 9, 0], [0, 1, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 1, 0], [0, 0, 0, 0, 1, 1, 0, 1, 1, 0], [0, 0, 0, 0, 1, 1, 0, 1, 1, 0], [0, 0, 0, 0, 1, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[9, 0, 0], [1, 1, 1]]\nCounterfactual: Now imagine that we intervened on the previous input by rotating or flipping it.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 2, 0], [0, 0, 0, 9, 9, 9, 0, 2, 2, 0], [0, 0, 0, 9, 9, 9, 0, 2, 2, 0], [0, 0, 0, 9, 9, 9, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[1], [2], [9]]\n",
+            "Replicate 1": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 1, 1, 0, 0, 0, 0, 0, 0], [0, 1, 1, 1, 0, 9, 9, 9, 0, 0], [0, 0, 0, 0, 0, 9, 9, 9, 0, 0], [0, 0, 9, 9, 0, 9, 9, 9, 0, 0], [0, 0, 9, 9, 0, 0, 0, 0, 0, 0], [0, 0, 9, 9, 0, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[1, 1], [9, 9]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 1, 0, 0, 0, 0, 0, 0], [0, 0, 1, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 2, 0, 0, 0], [0, 0, 0, 0, 0, 2, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[2, 0], [0, 0], [1, 1]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 9, 9, 0, 0, 0, 1, 1, 1, 0], [0, 9, 9, 0, 0, 0, 1, 1, 1, 0], [0, 9, 9, 0, 0, 0, 1, 1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[9, 0], [1, 1]]\nCounterfactual: Now imagine that we intervened on the previous input by rotating or flipping it.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 9, 9, 0, 0, 0, 0, 0, 0, 0], [0, 9, 9, 0, 0, 0, 0, 1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 1, 0, 1, 1, 0, 0, 0, 0], [0, 1, 1, 0, 1, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[9, 0, 0], [1, 1, 1]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2, 2, 0, 0], [0, 0, 0, 0, 0, 0, 2, 2, 0, 0], [0, 0, 0, 9, 9, 0, 0, 0, 0, 0], [0, 0, 0, 9, 9, 0, 9, 9, 0, 0], [0, 0, 0, 9, 9, 0, 9, 9, 0, 0], [0, 0, 0, 0, 0, 0, 9, 9, 0, 0], [0, 9, 9, 9, 0, 0, 0, 0, 0, 0], [0, 9, 9, 9, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[2, 0, 0], [9, 9, 9]]\nCounterfactual: Now imagine that we intervened on the previous input by rotating or flipping it.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 1, 1, 0, 2, 2, 2, 0, 0], [0, 1, 1, 1, 0, 2, 2, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 9, 9, 9, 0, 0, 0], [0, 0, 0, 0, 9, 9, 9, 0, 0, 0], [0, 0, 0, 0, 9, 9, 9, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[1], [2], [9]]\n",
+            "Replicate 2": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 1, 1, 0, 0, 0, 0, 0, 0], [0, 1, 1, 1, 0, 9, 9, 9, 0, 0], [0, 0, 0, 0, 0, 9, 9, 9, 0, 0], [0, 0, 9, 9, 0, 9, 9, 9, 0, 0], [0, 0, 9, 9, 0, 0, 0, 0, 0, 0], [0, 0, 9, 9, 0, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[1, 1], [9, 9]]\nCounterfactual: Now imagine that we intervened on the previous input by rotating or flipping it.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 1, 1, 0, 0], [0, 0, 0, 1, 1, 0, 0, 0, 0, 0], [0, 0, 0, 1, 1, 0, 9, 9, 9, 0], [0, 0, 0, 1, 1, 0, 9, 9, 9, 0], [0, 0, 0, 0, 0, 0, 9, 9, 9, 0], [0, 0, 0, 2, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[2, 0], [9, 0], [1, 1]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2, 2, 0, 0], [0, 0, 0, 0, 0, 0, 2, 2, 0, 0], [0, 0, 0, 9, 9, 0, 0, 0, 0, 0], [0, 0, 0, 9, 9, 0, 9, 9, 0, 0], [0, 0, 0, 9, 9, 0, 9, 9, 0, 0], [0, 0, 0, 0, 0, 0, 9, 9, 0, 0], [0, 9, 9, 9, 0, 0, 0, 0, 0, 0], [0, 9, 9, 9, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[2, 0, 0], [9, 9, 9]]\nCounterfactual: Now imagine that we intervened on the previous input by rotating or flipping it.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 1, 0, 1, 1, 0], [0, 0, 0, 0, 1, 1, 0, 1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 1, 0, 0, 0, 0, 9, 9, 0], [0, 0, 0, 0, 0, 0, 0, 9, 9, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[9, 0, 0], [1, 1, 1]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 1, 0, 9, 9, 0, 0, 0], [0, 0, 1, 1, 0, 9, 9, 0, 0, 0], [0, 0, 1, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 1, 1, 0], [0, 0, 0, 0, 0, 0, 1, 1, 1, 0], [0, 0, 0, 0, 0, 0, 1, 1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[9, 0], [1, 1]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 9, 9, 9, 0, 0, 0], [0, 0, 0, 0, 9, 9, 9, 0, 0, 0], [0, 0, 0, 0, 9, 9, 9, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 1, 1, 0, 2, 2, 2, 0, 0], [0, 1, 1, 1, 0, 2, 2, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[1], [2], [9]]\n",
+            "Replicate 3": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 9, 9, 0], [0, 1, 1, 0, 0, 0, 0, 9, 9, 0], [0, 1, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 1, 0], [0, 0, 0, 0, 1, 1, 0, 1, 1, 0], [0, 0, 0, 0, 1, 1, 0, 1, 1, 0], [0, 0, 0, 0, 1, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[9, 0, 0], [1, 1, 1]]\nCounterfactual: Now imagine that we intervened on the previous input by rotating or flipping it.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 1, 1, 0, 0], [0, 0, 0, 1, 1, 0, 0, 0, 0, 0], [0, 0, 0, 1, 1, 0, 9, 9, 9, 0], [0, 0, 0, 1, 1, 0, 9, 9, 9, 0], [0, 0, 0, 0, 0, 0, 9, 9, 9, 0], [0, 0, 0, 2, 2, 0, 0, 0, 0, 0], [0, 0, 0, 2, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[2, 0], [9, 0], [1, 1]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2, 2, 0, 0], [0, 0, 0, 0, 0, 0, 2, 2, 0, 0], [0, 0, 0, 9, 9, 0, 0, 0, 0, 0], [0, 0, 0, 9, 9, 0, 9, 9, 0, 0], [0, 0, 0, 9, 9, 0, 9, 9, 0, 0], [0, 0, 0, 0, 0, 0, 9, 9, 0, 0], [0, 9, 9, 9, 0, 0, 0, 0, 0, 0], [0, 9, 9, 9, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[2, 0, 0], [9, 9, 9]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 9, 9, 0], [0, 0, 0, 0, 0, 0, 0, 9, 9, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[9, 0, 0], [0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 1, 0, 0, 0, 0], [0, 0, 0, 0, 1, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 9, 9, 0, 0, 0, 1, 1, 1, 0], [0, 9, 9, 0, 0, 0, 1, 1, 1, 0], [0, 9, 9, 0, 0, 0, 1, 1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[9, 0], [1, 1]]\nCounterfactual: Now imagine that we intervened on the previous input by rotating or flipping it.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 2, 0], [0, 0, 0, 9, 9, 9, 0, 2, 2, 0], [0, 0, 0, 9, 9, 9, 0, 2, 2, 0], [0, 0, 0, 9, 9, 9, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[1], [2], [9]]\n",
+            "Replicate 4": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 1, 1, 0, 0, 0, 0, 0, 0], [0, 1, 1, 1, 0, 9, 9, 9, 0, 0], [0, 0, 0, 0, 0, 9, 9, 9, 0, 0], [0, 0, 9, 9, 0, 9, 9, 9, 0, 0], [0, 0, 9, 9, 0, 0, 0, 0, 0, 0], [0, 0, 9, 9, 0, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[1, 1], [9, 9]]\nCounterfactual: Now imagine that we intervened on the previous input by rotating or flipping it.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 2, 0, 0, 0], [0, 0, 0, 0, 0, 2, 2, 0, 0, 0], [0, 9, 9, 9, 0, 0, 0, 0, 0, 0], [0, 9, 9, 9, 0, 1, 1, 0, 0, 0], [0, 9, 9, 9, 0, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 1, 1, 0, 0, 0], [0, 0, 1, 1, 0, 0, 0, 0, 0, 0], [0, 0, 1, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[2, 0], [9, 0], [1, 1]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 1, 1, 0, 0, 0, 0, 0], [0, 0, 1, 1, 1, 0, 0, 0, 0, 0], [0, 0, 1, 1, 1, 0, 1, 1, 1, 0], [0, 0, 0, 0, 0, 0, 1, 1, 1, 0], [0, 9, 9, 9, 0, 0, 1, 1, 1, 0], [0, 9, 9, 9, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[9, 0], [1, 1]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 9, 9, 0], [0, 1, 1, 0, 0, 0, 0, 9, 9, 0], [0, 1, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 1, 1, 0], [0, 0, 0, 0, 1, 1, 0, 1, 1, 0], [0, 0, 0, 0, 1, 1, 0, 1, 1, 0], [0, 0, 0, 0, 1, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[9, 0, 0], [1, 1, 1]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 1, 1, 0, 0, 0, 0, 0], [0, 0, 1, 1, 1, 0, 0, 0, 0, 0], [0, 0, 1, 1, 1, 0, 1, 1, 1, 0], [0, 0, 0, 0, 0, 0, 1, 1, 1, 0], [0, 9, 9, 9, 0, 0, 1, 1, 1, 0], [0, 9, 9, 9, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[9, 0], [1, 1]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 9, 9, 9, 0, 0, 0], [0, 0, 0, 0, 9, 9, 9, 0, 0, 0], [0, 0, 0, 0, 9, 9, 9, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 2, 2, 0, 0], [0, 0, 0, 0, 0, 2, 2, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0], [2], [9]]\n"
+        }
+    },
+    "SCMfwpq": {
+        "L1": {
+            "Replicate 0": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[7, 0, 0, 0, 6, 0, 0, 0], [0, 0, 6, 0, 0, 0, 0, 0], [0, 0, 6, 0, 0, 6, 0, 0], [7, 6, 0, 0, 6, 6, 0, 0], [6, 0, 0, 6, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 0, 6, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 6, 6]] -> [[7, 7, 7, 7, 4, 7, 7, 7], [0, 0, 6, 0, 0, 0, 0, 0], [0, 0, 6, 0, 0, 6, 0, 0], [7, 4, 7, 7, 4, 4, 7, 7], [6, 0, 0, 6, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 7, 4, 7, 7, 4, 7, 7], [0, 0, 0, 0, 0, 0, 6, 6]]\nExample input-output arrays:\n[[7, 0, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 6, 0], [6, 6, 0, 0, 0, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 0, 6, 0, 6, 0, 6, 0], [6, 6, 0, 6, 0, 6, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0]] -> [[7, 7, 7, 7, 7, 7, 7, 7], [0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 6, 0], [6, 6, 0, 0, 0, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 7, 4, 7, 4, 7, 4, 7], [6, 6, 0, 6, 0, 6, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[7, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 6], [6, 0, 6, 0, 0, 6, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0], [7, 0, 6, 0, 0, 0, 0, 0], [6, 6, 0, 6, 0, 0, 0, 0], [0, 0, 0, 6, 0, 6, 6, 0], [0, 6, 0, 0, 6, 0, 6, 0]] -> [[7, 7, 7, 7, 7, 7, 7, 7], [6, 0, 0, 0, 0, 0, 0, 6], [6, 0, 6, 0, 0, 6, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0], [7, 7, 4, 7, 7, 7, 7, 7], [6, 6, 0, 6, 0, 0, 0, 0], [0, 0, 0, 6, 0, 6, 6, 0], [0, 6, 0, 0, 6, 0, 6, 0]]\nExample input-output arrays:\n[[7, 0, 0, 0, 6, 0, 6, 0], [0, 0, 6, 6, 0, 0, 0, 0], [0, 6, 0, 0, 0, 0, 6, 6], [7, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 0, 6, 0, 0, 0], [7, 0, 6, 6, 0, 6, 6, 6], [0, 0, 0, 6, 6, 0, 0, 0]] -> [[7, 7, 7, 7, 4, 7, 4, 7], [0, 0, 6, 6, 0, 0, 0, 0], [0, 6, 0, 0, 0, 0, 6, 6], [7, 7, 7, 7, 7, 4, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 0, 6, 0, 0, 0], [7, 7, 4, 4, 7, 4, 4, 4], [0, 0, 0, 6, 6, 0, 0, 0]]\nExample input-output arrays:\n[[7, 0, 0, 6, 0, 6, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 6, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0], [7, 6, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 6, 6, 6, 0]] -> [[7, 7, 7, 4, 7, 4, 7, 7], [6, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 6, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0], [7, 4, 7, 7, 7, 7, 7, 7], [6, 0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 6, 6, 6, 0]]\nExample input-output arrays:\n[[7, 0, 0, 0, 0, 0, 6, 0], [0, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 6, 0, 0, 0], [7, 0, 0, 0, 6, 0, 0, 6], [0, 0, 6, 0, 0, 0, 0, 0], [0, 6, 0, 6, 0, 0, 6, 0], [7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 6, 0, 0, 0, 0]] -> [[7, 7, 7, 7, 7, 7, 4, 7], [0, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 6, 0, 0, 0], [7, 7, 7, 7, 4, 7, 7, 4], [0, 0, 6, 0, 0, 0, 0, 0], [0, 6, 0, 6, 0, 0, 6, 0], [7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 6, 6, 0, 0, 0, 0]]\n",
+            "Replicate 1": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[7, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 6], [6, 0, 6, 0, 0, 6, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0], [7, 0, 6, 0, 0, 0, 0, 0], [6, 6, 0, 6, 0, 0, 0, 0], [0, 0, 0, 6, 0, 6, 6, 0], [0, 6, 0, 0, 6, 0, 6, 0]] -> [[7, 7, 7, 7, 7, 7, 7, 7], [6, 0, 0, 0, 0, 0, 0, 6], [6, 0, 6, 0, 0, 6, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0], [7, 7, 4, 7, 7, 7, 7, 7], [6, 6, 0, 6, 0, 0, 0, 0], [0, 0, 0, 6, 0, 6, 6, 0], [0, 6, 0, 0, 6, 0, 6, 0]]\nExample input-output arrays:\n[[7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 6, 0, 6, 0, 0], [7, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 6, 0, 0, 6, 6], [0, 6, 0, 0, 0, 0, 0, 6], [7, 0, 0, 0, 6, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0]] -> [[7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 6, 0, 6, 0, 0], [7, 7, 7, 7, 7, 7, 7, 7], [6, 0, 0, 6, 0, 0, 6, 6], [0, 6, 0, 0, 0, 0, 0, 6], [7, 7, 7, 7, 4, 7, 7, 7], [0, 0, 0, 6, 0, 0, 0, 0]]\nExample input-output arrays:\n[[7, 0, 0, 6, 0, 6, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 6, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0], [7, 6, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 6, 6, 6, 0]] -> [[7, 7, 7, 4, 7, 4, 7, 7], [6, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 6, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0], [7, 4, 7, 7, 7, 7, 7, 7], [6, 0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 6, 6, 6, 0]]\nExample input-output arrays:\n[[7, 0, 0, 0, 6, 6, 6, 0], [6, 0, 0, 0, 0, 0, 0, 6], [0, 0, 0, 0, 6, 6, 0, 0], [7, 0, 0, 0, 0, 0, 6, 0], [0, 0, 0, 0, 0, 6, 0, 0], [6, 0, 6, 0, 0, 0, 6, 0], [7, 0, 0, 0, 0, 6, 6, 0], [0, 0, 6, 6, 0, 6, 0, 0]] -> [[7, 7, 7, 7, 4, 4, 4, 7], [6, 0, 0, 0, 0, 0, 0, 6], [0, 0, 0, 0, 6, 6, 0, 0], [7, 7, 7, 7, 7, 7, 4, 7], [0, 0, 0, 0, 0, 6, 0, 0], [6, 0, 6, 0, 0, 0, 6, 0], [7, 7, 7, 7, 7, 4, 4, 7], [0, 0, 6, 6, 0, 6, 0, 0]]\nExample input-output arrays:\n[[7, 0, 0, 0, 0, 6, 6, 0], [6, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 6, 0, 0, 6], [0, 0, 6, 6, 0, 0, 0, 0], [7, 0, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 6, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0]] -> [[7, 7, 7, 7, 7, 4, 4, 7], [6, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 6, 0, 0, 6], [0, 0, 6, 6, 0, 0, 0, 0], [7, 7, 4, 7, 7, 7, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 6, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[7, 0, 0, 0, 0, 6, 6, 0], [6, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 6, 0, 0, 6], [0, 0, 6, 6, 0, 0, 0, 0], [7, 0, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 6, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0]] -> [[7, 7, 7, 7, 7, 4, 4, 7], [6, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 6, 0, 0, 6], [0, 0, 6, 6, 0, 0, 0, 0], [7, 7, 4, 7, 7, 7, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 6, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0]]\n",
+            "Replicate 2": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 6, 0, 6, 0, 0], [7, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 6, 0, 0, 6, 6], [0, 6, 0, 0, 0, 0, 0, 6], [7, 0, 0, 0, 6, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0]] -> [[7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 6, 0, 6, 0, 0], [7, 7, 7, 7, 7, 7, 7, 7], [6, 0, 0, 6, 0, 0, 6, 6], [0, 6, 0, 0, 0, 0, 0, 6], [7, 7, 7, 7, 4, 7, 7, 7], [0, 0, 0, 6, 0, 0, 0, 0]]\nExample input-output arrays:\n[[7, 0, 0, 0, 0, 0, 6, 0], [0, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 6, 0, 0, 0], [7, 0, 0, 0, 6, 0, 0, 6], [0, 0, 6, 0, 0, 0, 0, 0], [0, 6, 0, 6, 0, 0, 6, 0], [7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 6, 0, 0, 0, 0]] -> [[7, 7, 7, 7, 7, 7, 4, 7], [0, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 6, 0, 0, 0], [7, 7, 7, 7, 4, 7, 7, 4], [0, 0, 6, 0, 0, 0, 0, 0], [0, 6, 0, 6, 0, 0, 6, 0], [7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 6, 6, 0, 0, 0, 0]]\nExample input-output arrays:\n[[7, 0, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0], [6, 0, 6, 0, 0, 0, 0, 0], [7, 6, 0, 6, 6, 0, 6, 0], [0, 6, 0, 0, 6, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 6]] -> [[7, 7, 7, 7, 7, 7, 7, 7], [0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0], [6, 0, 6, 0, 0, 0, 0, 0], [7, 4, 7, 4, 4, 7, 4, 7], [0, 6, 0, 0, 6, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 6]]\nExample input-output arrays:\n[[7, 0, 0, 0, 6, 0, 6, 0], [0, 0, 6, 6, 0, 0, 0, 0], [0, 6, 0, 0, 0, 0, 6, 6], [7, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 0, 6, 0, 0, 0], [7, 0, 6, 6, 0, 6, 6, 6], [0, 0, 0, 6, 6, 0, 0, 0]] -> [[7, 7, 7, 7, 4, 7, 4, 7], [0, 0, 6, 6, 0, 0, 0, 0], [0, 6, 0, 0, 0, 0, 6, 6], [7, 7, 7, 7, 7, 4, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 0, 6, 0, 0, 0], [7, 7, 4, 4, 7, 4, 4, 4], [0, 0, 0, 6, 6, 0, 0, 0]]\nExample input-output arrays:\n[[7, 0, 0, 0, 0, 0, 0, 6], [6, 0, 0, 0, 0, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 6], [7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 6, 6, 0, 0], [0, 0, 0, 6, 0, 0, 6, 0], [7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 6, 0, 6]] -> [[7, 7, 7, 7, 7, 7, 7, 4], [6, 0, 0, 0, 0, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 6], [7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 0, 6, 6, 6, 0, 0], [0, 0, 0, 6, 0, 0, 6, 0], [7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 0, 6, 0, 6, 0, 6]]\nExample input-output arrays:\n[[7, 0, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0], [6, 0, 6, 0, 0, 0, 0, 0], [7, 6, 0, 6, 6, 0, 6, 0], [0, 6, 0, 0, 6, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 6]] -> [[7, 7, 7, 7, 7, 7, 7, 7], [0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0], [6, 0, 6, 0, 0, 0, 0, 0], [7, 4, 7, 4, 4, 7, 4, 7], [0, 6, 0, 0, 6, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 6]]\n",
+            "Replicate 3": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[7, 0, 0, 0, 0, 0, 6, 0], [0, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 6, 0, 0, 0], [7, 0, 0, 0, 6, 0, 0, 6], [0, 0, 6, 0, 0, 0, 0, 0], [0, 6, 0, 6, 0, 0, 6, 0], [7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 6, 0, 0, 0, 0]] -> [[7, 7, 7, 7, 7, 7, 4, 7], [0, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 6, 0, 0, 0], [7, 7, 7, 7, 4, 7, 7, 4], [0, 0, 6, 0, 0, 0, 0, 0], [0, 6, 0, 6, 0, 0, 6, 0], [7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 6, 6, 0, 0, 0, 0]]\nExample input-output arrays:\n[[7, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 6], [6, 0, 6, 0, 0, 6, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0], [7, 0, 6, 0, 0, 0, 0, 0], [6, 6, 0, 6, 0, 0, 0, 0], [0, 0, 0, 6, 0, 6, 6, 0], [0, 6, 0, 0, 6, 0, 6, 0]] -> [[7, 7, 7, 7, 7, 7, 7, 7], [6, 0, 0, 0, 0, 0, 0, 6], [6, 0, 6, 0, 0, 6, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0], [7, 7, 4, 7, 7, 7, 7, 7], [6, 6, 0, 6, 0, 0, 0, 0], [0, 0, 0, 6, 0, 6, 6, 0], [0, 6, 0, 0, 6, 0, 6, 0]]\nExample input-output arrays:\n[[7, 0, 0, 0, 0, 0, 6, 0], [0, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 6, 0, 0, 0], [7, 0, 0, 0, 6, 0, 0, 6], [0, 0, 6, 0, 0, 0, 0, 0], [0, 6, 0, 6, 0, 0, 6, 0], [7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 6, 0, 0, 0, 0]] -> [[7, 7, 7, 7, 7, 7, 4, 7], [0, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 6, 0, 0, 0], [7, 7, 7, 7, 4, 7, 7, 4], [0, 0, 6, 0, 0, 0, 0, 0], [0, 6, 0, 6, 0, 0, 6, 0], [7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 6, 6, 0, 0, 0, 0]]\nExample input-output arrays:\n[[7, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 6], [6, 0, 6, 0, 0, 6, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0], [7, 0, 6, 0, 0, 0, 0, 0], [6, 6, 0, 6, 0, 0, 0, 0], [0, 0, 0, 6, 0, 6, 6, 0], [0, 6, 0, 0, 6, 0, 6, 0]] -> [[7, 7, 7, 7, 7, 7, 7, 7], [6, 0, 0, 0, 0, 0, 0, 6], [6, 0, 6, 0, 0, 6, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0], [7, 7, 4, 7, 7, 7, 7, 7], [6, 6, 0, 6, 0, 0, 0, 0], [0, 0, 0, 6, 0, 6, 6, 0], [0, 6, 0, 0, 6, 0, 6, 0]]\nExample input-output arrays:\n[[7, 0, 0, 6, 0, 6, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 6, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0], [7, 6, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 6, 6, 6, 0]] -> [[7, 7, 7, 4, 7, 4, 7, 7], [6, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 6, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0], [7, 4, 7, 7, 7, 7, 7, 7], [6, 0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 6, 6, 6, 0]]\nExample input-output arrays:\n[[7, 0, 0, 0, 6, 6, 6, 0], [6, 0, 0, 0, 0, 0, 0, 6], [0, 0, 0, 0, 6, 6, 0, 0], [7, 0, 0, 0, 0, 0, 6, 0], [0, 0, 0, 0, 0, 6, 0, 0], [6, 0, 6, 0, 0, 0, 6, 0], [7, 0, 0, 0, 0, 6, 6, 0], [0, 0, 6, 6, 0, 6, 0, 0]] -> [[7, 7, 7, 7, 4, 4, 4, 7], [6, 0, 0, 0, 0, 0, 0, 6], [0, 0, 0, 0, 6, 6, 0, 0], [7, 7, 7, 7, 7, 7, 4, 7], [0, 0, 0, 0, 0, 6, 0, 0], [6, 0, 6, 0, 0, 0, 6, 0], [7, 7, 7, 7, 7, 4, 4, 7], [0, 0, 6, 6, 0, 6, 0, 0]]\n",
+            "Replicate 4": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[7, 0, 0, 0, 6, 0, 0, 0], [0, 0, 6, 0, 0, 0, 0, 0], [0, 0, 6, 0, 0, 6, 0, 0], [7, 6, 0, 0, 6, 6, 0, 0], [6, 0, 0, 6, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 0, 6, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 6, 6]] -> [[7, 7, 7, 7, 4, 7, 7, 7], [0, 0, 6, 0, 0, 0, 0, 0], [0, 0, 6, 0, 0, 6, 0, 0], [7, 4, 7, 7, 4, 4, 7, 7], [6, 0, 0, 6, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 7, 4, 7, 7, 4, 7, 7], [0, 0, 0, 0, 0, 0, 6, 6]]\nExample input-output arrays:\n[[7, 0, 0, 0, 6, 6, 6, 0], [6, 0, 0, 0, 0, 0, 0, 6], [0, 0, 0, 0, 6, 6, 0, 0], [7, 0, 0, 0, 0, 0, 6, 0], [0, 0, 0, 0, 0, 6, 0, 0], [6, 0, 6, 0, 0, 0, 6, 0], [7, 0, 0, 0, 0, 6, 6, 0], [0, 0, 6, 6, 0, 6, 0, 0]] -> [[7, 7, 7, 7, 4, 4, 4, 7], [6, 0, 0, 0, 0, 0, 0, 6], [0, 0, 0, 0, 6, 6, 0, 0], [7, 7, 7, 7, 7, 7, 4, 7], [0, 0, 0, 0, 0, 6, 0, 0], [6, 0, 6, 0, 0, 0, 6, 0], [7, 7, 7, 7, 7, 4, 4, 7], [0, 0, 6, 6, 0, 6, 0, 0]]\nExample input-output arrays:\n[[7, 0, 0, 0, 0, 6, 6, 0], [6, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 6, 0, 0, 6], [0, 0, 6, 6, 0, 0, 0, 0], [7, 0, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 6, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0]] -> [[7, 7, 7, 7, 7, 4, 4, 7], [6, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 6, 0, 0, 6], [0, 0, 6, 6, 0, 0, 0, 0], [7, 7, 4, 7, 7, 7, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 6, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[7, 0, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 6, 0], [6, 6, 0, 0, 0, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 0, 6, 0, 6, 0, 6, 0], [6, 6, 0, 6, 0, 6, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0]] -> [[7, 7, 7, 7, 7, 7, 7, 7], [0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 6, 0], [6, 6, 0, 0, 0, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 7, 4, 7, 4, 7, 4, 7], [6, 6, 0, 6, 0, 6, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[7, 0, 0, 6, 0, 6, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 6, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0], [7, 6, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 6, 6, 6, 0]] -> [[7, 7, 7, 4, 7, 4, 7, 7], [6, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 6, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0], [7, 4, 7, 7, 7, 7, 7, 7], [6, 0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 6, 6, 6, 0]]\nExample input-output arrays:\n[[7, 0, 0, 0, 6, 0, 6, 0], [0, 0, 6, 6, 0, 0, 0, 0], [0, 6, 0, 0, 0, 0, 6, 6], [7, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 0, 6, 0, 0, 0], [7, 0, 6, 6, 0, 6, 6, 6], [0, 0, 0, 6, 6, 0, 0, 0]] -> [[7, 7, 7, 7, 4, 7, 4, 7], [0, 0, 6, 6, 0, 0, 0, 0], [0, 6, 0, 0, 0, 0, 6, 6], [7, 7, 7, 7, 7, 4, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 0, 6, 0, 0, 0], [7, 7, 4, 4, 7, 4, 4, 4], [0, 0, 0, 6, 6, 0, 0, 0]]\n"
+        },
+        "L3": {
+            "Replicate 0": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[7, 0, 0, 0, 0, 0, 0, 6], [6, 0, 0, 0, 0, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 6], [7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 6, 6, 0, 0], [0, 0, 0, 6, 0, 0, 6, 0], [7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 6, 0, 6]] -> [[7, 7, 7, 7, 7, 7, 7, 4], [6, 0, 0, 0, 0, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 6], [7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 0, 6, 6, 6, 0, 0], [0, 0, 0, 6, 0, 0, 6, 0], [7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 0, 6, 0, 6, 0, 6]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[7, 0, 0, 6, 0, 6, 0, 0], [6, 6, 6, 6, 6, 6, 6, 6], [0, 0, 0, 6, 0, 6, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0], [7, 6, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 6, 6, 6, 0]] -> [[7, 7, 7, 4, 7, 4, 7, 7], [6, 6, 6, 6, 6, 6, 6, 6], [0, 0, 0, 6, 0, 6, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0], [7, 4, 7, 7, 7, 7, 7, 7], [6, 0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 6, 6, 6, 0]]\nExample input-output arrays:\n[[7, 0, 0, 0, 0, 0, 6, 0], [0, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 6, 0, 0, 0], [7, 0, 0, 0, 6, 0, 0, 6], [0, 0, 6, 0, 0, 0, 0, 0], [0, 6, 0, 6, 0, 0, 6, 0], [7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 6, 0, 0, 0, 0]] -> [[7, 7, 7, 7, 7, 7, 4, 7], [0, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 6, 0, 0, 0], [7, 7, 7, 7, 4, 7, 7, 4], [0, 0, 6, 0, 0, 0, 0, 0], [0, 6, 0, 6, 0, 0, 6, 0], [7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 6, 6, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[7, 0, 0, 0, 0, 0, 0, 0], [0, 8, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 0, 0], [8, 0, 8, 0, 0, 0, 0, 0], [7, 8, 0, 8, 8, 0, 8, 0], [0, 8, 0, 0, 8, 0, 8, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 8, 8]] -> [[7, 7, 7, 7, 7, 7, 7, 7], [0, 8, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 0, 0], [8, 0, 8, 0, 0, 0, 0, 0], [7, 4, 7, 4, 4, 7, 4, 7], [0, 8, 0, 0, 8, 0, 8, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 8, 8]]\nExample input-output arrays:\n[[7, 0, 0, 0, 0, 6, 6, 6], [0, 6, 0, 6, 0, 0, 0, 0], [0, 0, 6, 0, 0, 0, 6, 0], [6, 0, 6, 6, 6, 0, 0, 6], [7, 6, 0, 0, 0, 0, 6, 0], [6, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 6, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0]] -> [[7, 7, 7, 7, 7, 4, 4, 4], [0, 6, 0, 6, 0, 0, 0, 0], [0, 0, 6, 0, 0, 0, 6, 0], [6, 0, 6, 6, 6, 0, 0, 6], [7, 4, 7, 7, 7, 7, 4, 7], [6, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 6, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[7, 0, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 6, 0], [6, 6, 6, 6, 6, 6, 6, 6], [0, 0, 0, 0, 0, 0, 0, 0], [7, 0, 6, 0, 6, 0, 6, 0], [6, 6, 0, 6, 0, 6, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0]] -> [[7, 7, 7, 7, 7, 7, 7, 7], [0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 6, 0], [6, 6, 6, 6, 6, 6, 6, 6], [0, 0, 0, 0, 0, 0, 0, 0], [7, 7, 4, 7, 4, 7, 4, 7], [6, 6, 0, 6, 0, 6, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0]]\n",
+            "Replicate 1": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[7, 0, 0, 0, 0, 6, 6, 0], [6, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 6, 0, 0, 6], [0, 0, 6, 6, 0, 0, 0, 0], [7, 0, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 6, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0]] -> [[7, 7, 7, 7, 7, 4, 4, 7], [6, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 6, 0, 0, 6], [0, 0, 6, 6, 0, 0, 0, 0], [7, 7, 4, 7, 7, 7, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 6, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[7, 0, 0, 3, 0, 3, 0, 0], [3, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 3, 0, 3, 0, 3], [0, 0, 0, 0, 0, 0, 0, 0], [7, 3, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 3, 3, 3, 0]] -> [[7, 7, 7, 4, 7, 4, 7, 7], [3, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 3, 0, 3, 0, 3], [0, 0, 0, 0, 0, 0, 0, 0], [7, 4, 7, 7, 7, 7, 7, 7], [3, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 3, 3, 3, 0]]\nExample input-output arrays:\n[[7, 0, 0, 0, 0, 6, 6, 6], [0, 6, 0, 6, 0, 0, 0, 0], [0, 0, 6, 0, 0, 0, 6, 0], [6, 0, 6, 6, 6, 0, 0, 6], [7, 6, 0, 0, 0, 0, 6, 0], [6, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 6, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0]] -> [[7, 7, 7, 7, 7, 4, 4, 4], [0, 6, 0, 6, 0, 0, 0, 0], [0, 0, 6, 0, 0, 0, 6, 0], [6, 0, 6, 6, 6, 0, 0, 6], [7, 4, 7, 7, 7, 7, 4, 7], [6, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 6, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[7, 0, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0], [6, 0, 6, 0, 0, 0, 0, 0], [7, 0, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 6, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 6]] -> [[7, 7, 7, 7, 7, 7, 7, 7], [0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0], [6, 0, 6, 0, 0, 0, 0, 0], [7, 7, 7, 7, 7, 7, 7, 7], [0, 6, 0, 0, 6, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 6]]\nExample input-output arrays:\n[[7, 0, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0], [6, 0, 6, 0, 0, 0, 0, 0], [7, 6, 0, 6, 6, 0, 6, 0], [0, 6, 0, 0, 6, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 6]] -> [[7, 7, 7, 7, 7, 7, 7, 7], [0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0], [6, 0, 6, 0, 0, 0, 0, 0], [7, 4, 7, 4, 4, 7, 4, 7], [0, 6, 0, 0, 6, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 6]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[7, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0, 1, 0], [1, 1, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 0, 1, 0, 1, 0, 1, 0], [1, 1, 0, 1, 0, 1, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0]] -> [[7, 7, 7, 7, 7, 7, 7, 7], [0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0, 1, 0], [1, 1, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 7, 4, 7, 4, 7, 4, 7], [1, 1, 0, 1, 0, 1, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0]]\n",
+            "Replicate 2": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[7, 0, 0, 0, 0, 6, 6, 6], [0, 6, 0, 6, 0, 0, 0, 0], [0, 0, 6, 0, 0, 0, 6, 0], [6, 0, 6, 6, 6, 0, 0, 6], [7, 6, 0, 0, 0, 0, 6, 0], [6, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 6, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0]] -> [[7, 7, 7, 7, 7, 4, 4, 4], [0, 6, 0, 6, 0, 0, 0, 0], [0, 0, 6, 0, 0, 0, 6, 0], [6, 0, 6, 6, 6, 0, 0, 6], [7, 4, 7, 7, 7, 7, 4, 7], [6, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 6, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[7, 0, 0, 3, 0, 3, 0, 0], [3, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 3, 0, 3, 0, 3], [0, 0, 0, 0, 0, 0, 0, 0], [7, 3, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 3, 3, 3, 0]] -> [[7, 7, 7, 4, 7, 4, 7, 7], [3, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 3, 0, 3, 0, 3], [0, 0, 0, 0, 0, 0, 0, 0], [7, 4, 7, 7, 7, 7, 7, 7], [3, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 3, 3, 3, 0]]\nExample input-output arrays:\n[[7, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 6], [6, 0, 6, 0, 0, 6, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0], [7, 0, 6, 0, 0, 0, 0, 0], [6, 6, 0, 6, 0, 0, 0, 0], [0, 0, 0, 6, 0, 6, 6, 0], [0, 6, 0, 0, 6, 0, 6, 0]] -> [[7, 7, 7, 7, 7, 7, 7, 7], [6, 0, 0, 0, 0, 0, 0, 6], [6, 0, 6, 0, 0, 6, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0], [7, 7, 4, 7, 7, 7, 7, 7], [6, 6, 0, 6, 0, 0, 0, 0], [0, 0, 0, 6, 0, 6, 6, 0], [0, 6, 0, 0, 6, 0, 6, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[7, 0, 0, 0, 0, 0, 0, 0], [0, 8, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 0, 0], [8, 0, 8, 0, 0, 0, 0, 0], [7, 8, 0, 8, 8, 0, 8, 0], [0, 8, 0, 0, 8, 0, 8, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 8, 8]] -> [[7, 7, 7, 7, 7, 7, 7, 7], [0, 8, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 0, 0], [8, 0, 8, 0, 0, 0, 0, 0], [7, 4, 7, 4, 4, 7, 4, 7], [0, 8, 0, 0, 8, 0, 8, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 8, 8]]\nExample input-output arrays:\n[[7, 0, 0, 0, 6, 0, 0, 0], [0, 0, 6, 0, 0, 0, 0, 0], [0, 0, 6, 0, 0, 6, 0, 0], [7, 6, 0, 0, 6, 6, 0, 0], [6, 0, 0, 6, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 0, 6, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 6, 6]] -> [[7, 7, 7, 7, 4, 7, 7, 7], [0, 0, 6, 0, 0, 0, 0, 0], [0, 0, 6, 0, 0, 6, 0, 0], [7, 4, 7, 7, 4, 4, 7, 7], [6, 0, 0, 6, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 7, 4, 7, 7, 4, 7, 7], [0, 0, 0, 0, 0, 0, 6, 6]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[7, 0, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 0, 6, 0, 6, 0, 6, 0], [6, 6, 0, 6, 0, 6, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0]] -> [[7, 7, 7, 7, 7, 7, 7, 7], [0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 7, 4, 7, 4, 7, 4, 7], [6, 6, 0, 6, 0, 6, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0]]\n",
+            "Replicate 3": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[7, 0, 0, 0, 0, 0, 6, 0], [0, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 6, 0, 0, 0], [7, 0, 0, 0, 6, 0, 0, 6], [0, 0, 6, 0, 0, 0, 0, 0], [0, 6, 0, 6, 0, 0, 6, 0], [7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 6, 0, 0, 0, 0]] -> [[7, 7, 7, 7, 7, 7, 4, 7], [0, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 6, 0, 0, 0], [7, 7, 7, 7, 4, 7, 7, 4], [0, 0, 6, 0, 0, 0, 0, 0], [0, 6, 0, 6, 0, 0, 6, 0], [7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 6, 6, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[7, 0, 0, 8, 0, 8, 0, 0], [8, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 8, 0, 8], [0, 0, 0, 0, 0, 0, 0, 0], [7, 8, 0, 0, 0, 0, 0, 0], [8, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 8, 8, 0]] -> [[7, 7, 7, 4, 7, 4, 7, 7], [8, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 8, 0, 8], [0, 0, 0, 0, 0, 0, 0, 0], [7, 4, 7, 7, 7, 7, 7, 7], [8, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 8, 8, 0]]\nExample input-output arrays:\n[[7, 0, 0, 0, 0, 6, 6, 0], [6, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 6, 0, 0, 6], [0, 0, 6, 6, 0, 0, 0, 0], [7, 0, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 6, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0]] -> [[7, 7, 7, 7, 7, 4, 4, 7], [6, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 6, 0, 0, 6], [0, 0, 6, 6, 0, 0, 0, 0], [7, 7, 4, 7, 7, 7, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 6, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[7, 6, 6, 6, 6, 6, 6, 6], [0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0], [6, 0, 6, 0, 0, 0, 0, 0], [7, 6, 6, 6, 6, 6, 6, 6], [0, 6, 0, 0, 6, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 6]] -> [[7, 4, 4, 4, 4, 4, 4, 4], [0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0], [6, 0, 6, 0, 0, 0, 0, 0], [7, 4, 4, 4, 4, 4, 4, 4], [0, 6, 0, 0, 6, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 6]]\nExample input-output arrays:\n[[7, 0, 0, 0, 6, 6, 6, 0], [6, 0, 0, 0, 0, 0, 0, 6], [0, 0, 0, 0, 6, 6, 0, 0], [7, 0, 0, 0, 0, 0, 6, 0], [0, 0, 0, 0, 0, 6, 0, 0], [6, 0, 6, 0, 0, 0, 6, 0], [7, 0, 0, 0, 0, 6, 6, 0], [0, 0, 6, 6, 0, 6, 0, 0]] -> [[7, 7, 7, 7, 4, 4, 4, 7], [6, 0, 0, 0, 0, 0, 0, 6], [0, 0, 0, 0, 6, 6, 0, 0], [7, 7, 7, 7, 7, 7, 4, 7], [0, 0, 0, 0, 0, 6, 0, 0], [6, 0, 6, 0, 0, 0, 6, 0], [7, 7, 7, 7, 7, 4, 4, 7], [0, 0, 6, 6, 0, 6, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[7, 0, 0, 0, 0, 0, 0, 0], [0, 5, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 0, 0, 5, 0], [5, 5, 0, 0, 0, 0, 5, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 0, 5, 0, 5, 0, 5, 0], [5, 5, 0, 5, 0, 5, 0, 0], [5, 0, 0, 0, 0, 0, 0, 0]] -> [[7, 7, 7, 7, 7, 7, 7, 7], [0, 5, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 0, 0, 5, 0], [5, 5, 0, 0, 0, 0, 5, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 7, 4, 7, 4, 7, 4, 7], [5, 5, 0, 5, 0, 5, 0, 0], [5, 0, 0, 0, 0, 0, 0, 0]]\n",
+            "Replicate 4": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[7, 0, 0, 0, 6, 0, 6, 0], [0, 0, 6, 6, 0, 0, 0, 0], [0, 6, 0, 0, 0, 0, 6, 6], [7, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 0, 6, 0, 0, 0], [7, 0, 6, 6, 0, 6, 6, 6], [0, 0, 0, 6, 6, 0, 0, 0]] -> [[7, 7, 7, 7, 4, 7, 4, 7], [0, 0, 6, 6, 0, 0, 0, 0], [0, 6, 0, 0, 0, 0, 6, 6], [7, 7, 7, 7, 7, 4, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 0, 6, 0, 0, 0], [7, 7, 4, 4, 7, 4, 4, 4], [0, 0, 0, 6, 6, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[7, 0, 0, 3, 0, 3, 0, 0], [3, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 3, 0, 3, 0, 3], [0, 0, 0, 0, 0, 0, 0, 0], [7, 3, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 3, 3, 3, 0]] -> [[7, 7, 7, 4, 7, 4, 7, 7], [3, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 3, 0, 3, 0, 3], [0, 0, 0, 0, 0, 0, 0, 0], [7, 4, 7, 7, 7, 7, 7, 7], [3, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 3, 3, 3, 0]]\nExample input-output arrays:\n[[7, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 6], [6, 0, 6, 0, 0, 6, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0], [7, 0, 6, 0, 0, 0, 0, 0], [6, 6, 0, 6, 0, 0, 0, 0], [0, 0, 0, 6, 0, 6, 6, 0], [0, 6, 0, 0, 6, 0, 6, 0]] -> [[7, 7, 7, 7, 7, 7, 7, 7], [6, 0, 0, 0, 0, 0, 0, 6], [6, 0, 6, 0, 0, 6, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0], [7, 7, 4, 7, 7, 7, 7, 7], [6, 6, 0, 6, 0, 0, 0, 0], [0, 0, 0, 6, 0, 6, 6, 0], [0, 6, 0, 0, 6, 0, 6, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[7, 6, 6, 6, 6, 6, 6, 6], [0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0], [6, 0, 6, 0, 0, 0, 0, 0], [7, 6, 6, 6, 6, 6, 6, 6], [0, 6, 0, 0, 6, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 6]] -> [[7, 4, 4, 4, 4, 4, 4, 4], [0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0], [6, 0, 6, 0, 0, 0, 0, 0], [7, 4, 4, 4, 4, 4, 4, 4], [0, 6, 0, 0, 6, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 6]]\nExample input-output arrays:\n[[7, 0, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 6, 0], [6, 6, 0, 0, 0, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 0, 6, 0, 6, 0, 6, 0], [6, 6, 0, 6, 0, 6, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0]] -> [[7, 7, 7, 7, 7, 7, 7, 7], [0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 6, 0], [6, 6, 0, 0, 0, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 7, 4, 7, 4, 7, 4, 7], [6, 6, 0, 6, 0, 6, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[7, 0, 0, 0, 0, 0, 0, 0], [0, 2, 0, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 2, 0], [2, 2, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 0, 2, 0, 2, 0, 2, 0], [2, 2, 0, 2, 0, 2, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0]] -> [[7, 7, 7, 7, 7, 7, 7, 7], [0, 2, 0, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 2, 0], [2, 2, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 7, 4, 7, 4, 7, 4, 7], [2, 2, 0, 2, 0, 2, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0]]\n"
+        }
+    },
+    "SCMz750": {
+        "L1": {
+            "Replicate 0": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 9, 0, 0, 9, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0]] -> [[0, 0, 7, 0, 9, 0, 0, 9, 2, 0], [0, 0, 7, 0, 9, 0, 0, 9, 2, 0], [0, 0, 7, 0, 9, 0, 0, 9, 2, 0], [0, 0, 7, 0, 9, 0, 0, 9, 2, 0], [0, 0, 7, 0, 9, 0, 0, 9, 2, 0], [7, 7, 7, 0, 9, 0, 0, 9, 2, 0], [0, 0, 0, 0, 9, 0, 0, 9, 2, 0], [0, 0, 0, 0, 9, 0, 0, 9, 2, 0], [9, 9, 9, 9, 9, 9, 9, 9, 2, 0], [2, 2, 2, 2, 2, 2, 2, 2, 2, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 9, 0, 0, 9, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0]] -> [[0, 0, 7, 0, 9, 0, 0, 9, 2, 0], [0, 0, 7, 0, 9, 0, 0, 9, 2, 0], [0, 0, 7, 0, 9, 0, 0, 9, 2, 0], [0, 0, 7, 0, 9, 0, 0, 9, 2, 0], [0, 0, 7, 0, 9, 0, 0, 9, 2, 0], [7, 7, 7, 0, 9, 0, 0, 9, 2, 0], [0, 0, 0, 0, 9, 0, 0, 9, 2, 0], [0, 0, 0, 0, 9, 0, 0, 9, 2, 0], [9, 9, 9, 9, 9, 9, 9, 9, 2, 0], [2, 2, 2, 2, 2, 2, 2, 2, 2, 0]]\nExample input-output arrays:\n[[0, 2, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 7, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0]] -> [[2, 8, 3, 0, 0, 2, 0, 0, 7, 0], [3, 8, 3, 0, 0, 2, 0, 0, 7, 0], [0, 8, 0, 0, 0, 2, 0, 0, 7, 0], [0, 8, 0, 0, 0, 2, 0, 0, 7, 0], [0, 8, 0, 0, 0, 2, 0, 0, 7, 0], [0, 8, 0, 0, 0, 2, 0, 0, 7, 0], [0, 8, 0, 0, 0, 2, 0, 0, 7, 0], [2, 2, 2, 2, 2, 2, 0, 0, 7, 0], [7, 7, 7, 7, 7, 2, 7, 7, 7, 0], [2, 2, 2, 2, 2, 2, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 3, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 8, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[3, 3, 2, 0, 8, 0, 0, 0, 0, 0], [3, 3, 0, 0, 8, 0, 0, 0, 0, 0], [3, 3, 0, 0, 8, 0, 0, 0, 0, 0], [3, 3, 0, 0, 8, 0, 0, 0, 0, 0], [3, 3, 0, 0, 8, 0, 0, 0, 0, 0], [3, 3, 0, 0, 8, 0, 0, 0, 0, 0], [3, 0, 0, 0, 8, 0, 0, 0, 0, 0], [8, 8, 8, 8, 8, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 3, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 8, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[3, 3, 2, 0, 8, 0, 0, 0, 0, 0], [3, 3, 0, 0, 8, 0, 0, 0, 0, 0], [3, 3, 0, 0, 8, 0, 0, 0, 0, 0], [3, 3, 0, 0, 8, 0, 0, 0, 0, 0], [3, 3, 0, 0, 8, 0, 0, 0, 0, 0], [3, 3, 0, 0, 8, 0, 0, 0, 0, 0], [3, 0, 0, 0, 8, 0, 0, 0, 0, 0], [8, 8, 8, 8, 8, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 2, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 7, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0]] -> [[2, 8, 3, 0, 0, 2, 0, 0, 7, 0], [3, 8, 3, 0, 0, 2, 0, 0, 7, 0], [0, 8, 0, 0, 0, 2, 0, 0, 7, 0], [0, 8, 0, 0, 0, 2, 0, 0, 7, 0], [0, 8, 0, 0, 0, 2, 0, 0, 7, 0], [0, 8, 0, 0, 0, 2, 0, 0, 7, 0], [0, 8, 0, 0, 0, 2, 0, 0, 7, 0], [2, 2, 2, 2, 2, 2, 0, 0, 7, 0], [7, 7, 7, 7, 7, 2, 7, 7, 7, 0], [2, 2, 2, 2, 2, 2, 0, 0, 0, 0]]\n",
+            "Replicate 1": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 9, 0, 0, 9, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0]] -> [[0, 0, 7, 0, 9, 0, 0, 9, 2, 0], [0, 0, 7, 0, 9, 0, 0, 9, 2, 0], [0, 0, 7, 0, 9, 0, 0, 9, 2, 0], [0, 0, 7, 0, 9, 0, 0, 9, 2, 0], [0, 0, 7, 0, 9, 0, 0, 9, 2, 0], [7, 7, 7, 0, 9, 0, 0, 9, 2, 0], [0, 0, 0, 0, 9, 0, 0, 9, 2, 0], [0, 0, 0, 0, 9, 0, 0, 9, 2, 0], [9, 9, 9, 9, 9, 9, 9, 9, 2, 0], [2, 2, 2, 2, 2, 2, 2, 2, 2, 0]]\nExample input-output arrays:\n[[0, 2, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 5, 0, 0, 0, 0, 0]] -> [[2, 2, 0, 5, 5, 0, 0, 0, 0, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [0, 0, 0, 5, 5, 0, 0, 0, 0, 0], [0, 0, 0, 5, 5, 0, 0, 0, 0, 0], [0, 0, 0, 5, 5, 0, 0, 0, 0, 0], [1, 1, 1, 5, 5, 0, 0, 0, 0, 0], [1, 1, 1, 5, 5, 0, 0, 0, 0, 0], [0, 0, 0, 5, 5, 0, 0, 0, 0, 0], [0, 0, 0, 5, 5, 0, 0, 0, 0, 0], [5, 5, 5, 5, 5, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 2, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 7, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0]] -> [[2, 8, 3, 0, 0, 2, 0, 0, 7, 0], [3, 8, 3, 0, 0, 2, 0, 0, 7, 0], [0, 8, 0, 0, 0, 2, 0, 0, 7, 0], [0, 8, 0, 0, 0, 2, 0, 0, 7, 0], [0, 8, 0, 0, 0, 2, 0, 0, 7, 0], [0, 8, 0, 0, 0, 2, 0, 0, 7, 0], [0, 8, 0, 0, 0, 2, 0, 0, 7, 0], [2, 2, 2, 2, 2, 2, 0, 0, 7, 0], [7, 7, 7, 7, 7, 2, 7, 7, 7, 0], [2, 2, 2, 2, 2, 2, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 8, 0, 5, 0, 0, 6, 0], [8, 8, 8, 8, 0, 5, 0, 0, 6, 0], [0, 0, 0, 0, 0, 5, 0, 0, 6, 0], [5, 5, 5, 5, 5, 5, 0, 0, 6, 0], [6, 6, 6, 6, 6, 6, 6, 6, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 2, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 7, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0]] -> [[2, 8, 3, 0, 0, 2, 0, 0, 7, 0], [3, 8, 3, 0, 0, 2, 0, 0, 7, 0], [0, 8, 0, 0, 0, 2, 0, 0, 7, 0], [0, 8, 0, 0, 0, 2, 0, 0, 7, 0], [0, 8, 0, 0, 0, 2, 0, 0, 7, 0], [0, 8, 0, 0, 0, 2, 0, 0, 7, 0], [0, 8, 0, 0, 0, 2, 0, 0, 7, 0], [2, 2, 2, 2, 2, 2, 0, 0, 7, 0], [7, 7, 7, 7, 7, 2, 7, 7, 7, 0], [2, 2, 2, 2, 2, 2, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 7, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 9, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[1, 1, 0, 7, 0, 2, 0, 4, 0, 0], [7, 7, 7, 7, 0, 2, 0, 4, 0, 0], [0, 0, 0, 0, 0, 2, 0, 4, 0, 0], [0, 0, 0, 0, 0, 2, 0, 4, 0, 0], [0, 0, 0, 0, 0, 2, 0, 4, 0, 0], [9, 9, 9, 9, 9, 9, 9, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 0, 0], [4, 4, 4, 4, 4, 4, 4, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\n",
+            "Replicate 2": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 8, 0, 5, 0, 0, 6, 0], [8, 8, 8, 8, 0, 5, 0, 0, 6, 0], [0, 0, 0, 0, 0, 5, 0, 0, 6, 0], [5, 5, 5, 5, 5, 5, 0, 0, 6, 0], [6, 6, 6, 6, 6, 6, 6, 6, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 0, 0, 0, 0, 0, 0, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 3, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 8, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[3, 3, 2, 0, 8, 0, 0, 0, 0, 0], [3, 3, 0, 0, 8, 0, 0, 0, 0, 0], [3, 3, 0, 0, 8, 0, 0, 0, 0, 0], [3, 3, 0, 0, 8, 0, 0, 0, 0, 0], [3, 3, 0, 0, 8, 0, 0, 0, 0, 0], [3, 3, 0, 0, 8, 0, 0, 0, 0, 0], [3, 0, 0, 0, 8, 0, 0, 0, 0, 0], [8, 8, 8, 8, 8, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 7, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 9, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[1, 1, 0, 7, 0, 2, 0, 4, 0, 0], [7, 7, 7, 7, 0, 2, 0, 4, 0, 0], [0, 0, 0, 0, 0, 2, 0, 4, 0, 0], [0, 0, 0, 0, 0, 2, 0, 4, 0, 0], [0, 0, 0, 0, 0, 2, 0, 4, 0, 0], [9, 9, 9, 9, 9, 9, 9, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 0, 0], [4, 4, 4, 4, 4, 4, 4, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 7, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 9, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[1, 1, 0, 7, 0, 2, 0, 4, 0, 0], [7, 7, 7, 7, 0, 2, 0, 4, 0, 0], [0, 0, 0, 0, 0, 2, 0, 4, 0, 0], [0, 0, 0, 0, 0, 2, 0, 4, 0, 0], [0, 0, 0, 0, 0, 2, 0, 4, 0, 0], [9, 9, 9, 9, 9, 9, 9, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 0, 0], [4, 4, 4, 4, 4, 4, 4, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 2, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 5, 0, 0, 0, 0, 0]] -> [[2, 2, 0, 5, 5, 0, 0, 0, 0, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [0, 0, 0, 5, 5, 0, 0, 0, 0, 0], [0, 0, 0, 5, 5, 0, 0, 0, 0, 0], [0, 0, 0, 5, 5, 0, 0, 0, 0, 0], [1, 1, 1, 5, 5, 0, 0, 0, 0, 0], [1, 1, 1, 5, 5, 0, 0, 0, 0, 0], [0, 0, 0, 5, 5, 0, 0, 0, 0, 0], [0, 0, 0, 5, 5, 0, 0, 0, 0, 0], [5, 5, 5, 5, 5, 0, 0, 0, 0, 0]]\n",
+            "Replicate 3": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 0, 0, 0, 0, 0, 0, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 8, 0, 5, 0, 0, 6, 0], [8, 8, 8, 8, 0, 5, 0, 0, 6, 0], [0, 0, 0, 0, 0, 5, 0, 0, 6, 0], [5, 5, 5, 5, 5, 5, 0, 0, 6, 0], [6, 6, 6, 6, 6, 6, 6, 6, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 9, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 8, 0]] -> [[3, 9, 0, 0, 0, 0, 0, 0, 8, 0], [3, 9, 0, 0, 0, 0, 0, 0, 8, 0], [3, 9, 0, 0, 0, 0, 0, 0, 8, 0], [3, 0, 0, 0, 0, 0, 0, 0, 8, 0], [3, 0, 0, 0, 0, 0, 0, 0, 8, 0], [3, 0, 0, 0, 0, 0, 0, 0, 8, 0], [3, 0, 0, 0, 0, 0, 0, 0, 8, 0], [3, 0, 0, 0, 0, 0, 0, 0, 8, 0], [0, 0, 0, 0, 0, 0, 0, 0, 8, 0], [8, 8, 8, 8, 8, 8, 8, 8, 8, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 0, 0, 0, 0, 0, 0, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 2, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 5, 0, 0, 0, 0, 0]] -> [[2, 2, 0, 5, 5, 0, 0, 0, 0, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [0, 0, 0, 5, 5, 0, 0, 0, 0, 0], [0, 0, 0, 5, 5, 0, 0, 0, 0, 0], [0, 0, 0, 5, 5, 0, 0, 0, 0, 0], [1, 1, 1, 5, 5, 0, 0, 0, 0, 0], [1, 1, 1, 5, 5, 0, 0, 0, 0, 0], [0, 0, 0, 5, 5, 0, 0, 0, 0, 0], [0, 0, 0, 5, 5, 0, 0, 0, 0, 0], [5, 5, 5, 5, 5, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 8, 0, 5, 0, 0, 6, 0], [8, 8, 8, 8, 0, 5, 0, 0, 6, 0], [0, 0, 0, 0, 0, 5, 0, 0, 6, 0], [5, 5, 5, 5, 5, 5, 0, 0, 6, 0], [6, 6, 6, 6, 6, 6, 6, 6, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\n",
+            "Replicate 4": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 0], [0, 0, 0, 0, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [8, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[8, 0, 0, 0, 6, 0, 0, 0, 3, 0], [8, 0, 0, 0, 6, 0, 0, 0, 3, 0], [8, 1, 1, 1, 6, 1, 1, 1, 3, 0], [8, 0, 0, 0, 6, 0, 0, 0, 3, 0], [8, 3, 3, 3, 6, 3, 3, 3, 3, 0], [8, 6, 6, 6, 6, 0, 0, 0, 0, 0], [8, 0, 0, 0, 0, 0, 0, 0, 0, 0], [8, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 8, 0, 5, 0, 0, 6, 0], [8, 8, 8, 8, 0, 5, 0, 0, 6, 0], [0, 0, 0, 0, 0, 5, 0, 0, 6, 0], [5, 5, 5, 5, 5, 5, 0, 0, 6, 0], [6, 6, 6, 6, 6, 6, 6, 6, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 0, 0, 0, 0, 0, 0, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 8, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 0, 0, 0, 0, 8, 0, 0], [0, 0, 0, 0, 0, 0, 0, 8, 0, 0], [0, 0, 0, 0, 0, 0, 0, 8, 0, 0], [0, 0, 0, 0, 0, 0, 0, 8, 0, 0], [8, 8, 8, 8, 8, 8, 8, 8, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 2, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 5, 0, 0, 0, 0, 0]] -> [[2, 2, 0, 5, 5, 0, 0, 0, 0, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [0, 0, 0, 5, 5, 0, 0, 0, 0, 0], [0, 0, 0, 5, 5, 0, 0, 0, 0, 0], [0, 0, 0, 5, 5, 0, 0, 0, 0, 0], [1, 1, 1, 5, 5, 0, 0, 0, 0, 0], [1, 1, 1, 5, 5, 0, 0, 0, 0, 0], [0, 0, 0, 5, 5, 0, 0, 0, 0, 0], [0, 0, 0, 5, 5, 0, 0, 0, 0, 0], [5, 5, 5, 5, 5, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 4, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 0, 0, 0, 0, 0, 8], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 5, 5, 4, 0, 0, 0, 8], [5, 5, 5, 5, 5, 4, 0, 0, 0, 8], [4, 4, 4, 5, 4, 4, 0, 0, 0, 8], [0, 0, 0, 5, 0, 0, 0, 0, 0, 8], [0, 0, 0, 5, 0, 0, 0, 0, 0, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\n"
+        },
+        "L3": {
+            "Replicate 0": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 8, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 0, 0, 0, 0, 8, 0, 0], [0, 0, 0, 0, 0, 0, 0, 8, 0, 0], [0, 0, 0, 0, 0, 0, 0, 8, 0, 0], [0, 0, 0, 0, 0, 0, 0, 8, 0, 0], [8, 8, 8, 8, 8, 8, 8, 8, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 0, 0, 6, 0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 0, 0], [0, 0, 0, 7, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[2, 2, 2, 7, 2, 2, 2, 2, 0, 9], [0, 0, 0, 7, 0, 0, 0, 2, 0, 9], [5, 5, 5, 7, 0, 0, 0, 2, 0, 9], [9, 9, 9, 7, 9, 9, 9, 2, 9, 9], [0, 0, 0, 7, 0, 0, 0, 2, 0, 0], [0, 0, 0, 7, 0, 0, 0, 2, 0, 0], [2, 2, 2, 7, 2, 2, 2, 2, 0, 0], [7, 7, 7, 7, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 9, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 8, 0]] -> [[3, 9, 0, 0, 0, 0, 0, 0, 8, 0], [3, 9, 0, 0, 0, 0, 0, 0, 8, 0], [3, 9, 0, 0, 0, 0, 0, 0, 8, 0], [3, 0, 0, 0, 0, 0, 0, 0, 8, 0], [3, 0, 0, 0, 0, 0, 0, 0, 8, 0], [3, 0, 0, 0, 0, 0, 0, 0, 8, 0], [3, 0, 0, 0, 0, 0, 0, 0, 8, 0], [3, 0, 0, 0, 0, 0, 0, 0, 8, 0], [0, 0, 0, 0, 0, 0, 0, 0, 8, 0], [8, 8, 8, 8, 8, 8, 8, 8, 8, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 5, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 5, 5, 0, 0, 0, 0, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [0, 0, 0, 5, 5, 0, 0, 0, 0, 0], [0, 0, 0, 5, 5, 0, 0, 0, 0, 0], [0, 0, 0, 5, 5, 0, 0, 0, 0, 0], [1, 1, 1, 5, 5, 0, 0, 0, 0, 0], [1, 1, 1, 5, 5, 0, 0, 0, 0, 0], [0, 0, 0, 5, 5, 0, 0, 0, 0, 0], [0, 0, 0, 5, 5, 0, 0, 0, 0, 0], [5, 5, 5, 5, 5, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 7, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 9, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[1, 1, 0, 7, 0, 2, 0, 4, 0, 0], [7, 7, 7, 7, 0, 2, 0, 4, 0, 0], [0, 0, 0, 0, 0, 2, 0, 4, 0, 0], [0, 0, 0, 0, 0, 2, 0, 4, 0, 0], [0, 0, 0, 0, 0, 2, 0, 4, 0, 0], [9, 9, 9, 9, 9, 9, 9, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 0, 0], [4, 4, 4, 4, 4, 4, 4, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 9, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[3, 9, 0, 0, 0, 0, 0, 0, 0, 0], [3, 9, 0, 0, 0, 0, 0, 0, 0, 0], [3, 9, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\n",
+            "Replicate 1": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 9, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 8, 0]] -> [[3, 9, 0, 0, 0, 0, 0, 0, 8, 0], [3, 9, 0, 0, 0, 0, 0, 0, 8, 0], [3, 9, 0, 0, 0, 0, 0, 0, 8, 0], [3, 0, 0, 0, 0, 0, 0, 0, 8, 0], [3, 0, 0, 0, 0, 0, 0, 0, 8, 0], [3, 0, 0, 0, 0, 0, 0, 0, 8, 0], [3, 0, 0, 0, 0, 0, 0, 0, 8, 0], [3, 0, 0, 0, 0, 0, 0, 0, 8, 0], [0, 0, 0, 0, 0, 0, 0, 0, 8, 0], [8, 8, 8, 8, 8, 8, 8, 8, 8, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 0, 0, 6, 0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 0, 0], [0, 0, 0, 7, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[2, 2, 2, 7, 2, 2, 2, 2, 0, 9], [0, 0, 0, 7, 0, 0, 0, 2, 0, 9], [5, 5, 5, 7, 0, 0, 0, 2, 0, 9], [9, 9, 9, 7, 9, 9, 9, 2, 9, 9], [0, 0, 0, 7, 0, 0, 0, 2, 0, 0], [0, 0, 0, 7, 0, 0, 0, 2, 0, 0], [2, 2, 2, 7, 2, 2, 2, 2, 0, 0], [7, 7, 7, 7, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 0, 0, 0, 0, 0, 0, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 2, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 8, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 5, 0, 0, 0, 0, 0]] -> [[2, 2, 0, 5, 5, 0, 0, 0, 0, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [0, 0, 0, 5, 5, 0, 0, 0, 0, 0], [0, 0, 0, 5, 5, 0, 0, 0, 0, 0], [0, 0, 0, 5, 5, 0, 0, 0, 0, 0], [8, 8, 8, 5, 5, 0, 0, 0, 0, 0], [8, 8, 8, 5, 5, 0, 0, 0, 0, 0], [0, 0, 0, 5, 5, 0, 0, 0, 0, 0], [0, 0, 0, 5, 5, 0, 0, 0, 0, 0], [5, 5, 5, 5, 5, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 8, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 0, 0, 0, 0, 8, 0, 0], [0, 0, 0, 0, 0, 0, 0, 8, 0, 0], [0, 0, 0, 0, 0, 0, 0, 8, 0, 0], [0, 0, 0, 0, 0, 0, 0, 8, 0, 0], [8, 8, 8, 8, 8, 8, 8, 8, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 9, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 8, 0]] -> [[2, 9, 0, 0, 0, 0, 0, 0, 8, 0], [2, 9, 0, 0, 0, 0, 0, 0, 8, 0], [2, 9, 0, 0, 0, 0, 0, 0, 8, 0], [2, 0, 0, 0, 0, 0, 0, 0, 8, 0], [2, 0, 0, 0, 0, 0, 0, 0, 8, 0], [2, 0, 0, 0, 0, 0, 0, 0, 8, 0], [2, 0, 0, 0, 0, 0, 0, 0, 8, 0], [2, 0, 0, 0, 0, 0, 0, 0, 8, 0], [0, 0, 0, 0, 0, 0, 0, 0, 8, 0], [8, 8, 8, 8, 8, 8, 8, 8, 8, 0]]\n",
+            "Replicate 2": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 0, 0, 0, 0, 0, 0, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 7, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[6, 6, 6, 7, 0, 0, 0, 0, 0, 9], [0, 0, 0, 7, 0, 0, 0, 0, 0, 9], [5, 5, 5, 7, 0, 0, 0, 0, 0, 9], [9, 9, 9, 7, 9, 9, 9, 9, 9, 9], [0, 0, 0, 7, 0, 0, 0, 0, 0, 0], [0, 0, 0, 7, 0, 0, 0, 0, 0, 0], [0, 0, 0, 7, 0, 0, 0, 0, 0, 0], [7, 7, 7, 7, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 2, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 5, 0, 0, 0, 0, 0]] -> [[2, 2, 0, 5, 5, 0, 0, 0, 0, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [0, 0, 0, 5, 5, 0, 0, 0, 0, 0], [0, 0, 0, 5, 5, 0, 0, 0, 0, 0], [0, 0, 0, 5, 5, 0, 0, 0, 0, 0], [1, 1, 1, 5, 5, 0, 0, 0, 0, 0], [1, 1, 1, 5, 5, 0, 0, 0, 0, 0], [0, 0, 0, 5, 5, 0, 0, 0, 0, 0], [0, 0, 0, 5, 5, 0, 0, 0, 0, 0], [5, 5, 5, 5, 5, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 5, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 5, 5, 0, 0, 0, 0, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [0, 0, 0, 5, 5, 0, 0, 0, 0, 0], [0, 0, 0, 5, 5, 0, 0, 0, 0, 0], [0, 0, 0, 5, 5, 0, 0, 0, 0, 0], [1, 1, 1, 5, 5, 0, 0, 0, 0, 0], [1, 1, 1, 5, 5, 0, 0, 0, 0, 0], [0, 0, 0, 5, 5, 0, 0, 0, 0, 0], [0, 0, 0, 5, 5, 0, 0, 0, 0, 0], [5, 5, 5, 5, 5, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 8, 0, 5, 0, 0, 6, 0], [8, 8, 8, 8, 0, 5, 0, 0, 6, 0], [0, 0, 0, 0, 0, 5, 0, 0, 6, 0], [5, 5, 5, 5, 5, 5, 0, 0, 6, 0], [6, 6, 6, 6, 6, 6, 6, 6, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 9, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 8, 0]] -> [[0, 9, 0, 0, 0, 0, 0, 0, 8, 0], [0, 9, 0, 0, 0, 0, 0, 0, 8, 0], [9, 9, 0, 0, 0, 0, 0, 0, 8, 0], [0, 0, 0, 0, 0, 0, 0, 0, 8, 0], [0, 0, 0, 0, 0, 0, 0, 0, 8, 0], [0, 0, 0, 0, 0, 0, 0, 0, 8, 0], [0, 0, 0, 0, 0, 0, 0, 0, 8, 0], [0, 0, 0, 0, 0, 0, 0, 0, 8, 0], [0, 0, 0, 0, 0, 0, 0, 0, 8, 0], [8, 8, 8, 8, 8, 8, 8, 8, 8, 0]]\n",
+            "Replicate 3": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 3, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 8, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[3, 3, 2, 0, 8, 0, 0, 0, 0, 0], [3, 3, 0, 0, 8, 0, 0, 0, 0, 0], [3, 3, 0, 0, 8, 0, 0, 0, 0, 0], [3, 3, 0, 0, 8, 0, 0, 0, 0, 0], [3, 3, 0, 0, 8, 0, 0, 0, 0, 0], [3, 3, 0, 0, 8, 0, 0, 0, 0, 0], [3, 0, 0, 0, 8, 0, 0, 0, 0, 0], [8, 8, 8, 8, 8, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 0, 0, 6, 0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 0, 0], [0, 0, 0, 7, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[2, 2, 2, 7, 2, 2, 2, 2, 0, 9], [0, 0, 0, 7, 0, 0, 0, 2, 0, 9], [5, 5, 5, 7, 0, 0, 0, 2, 0, 9], [9, 9, 9, 7, 9, 9, 9, 2, 9, 9], [0, 0, 0, 7, 0, 0, 0, 2, 0, 0], [0, 0, 0, 7, 0, 0, 0, 2, 0, 0], [2, 2, 2, 7, 2, 2, 2, 2, 0, 0], [7, 7, 7, 7, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 8, 0, 5, 0, 0, 6, 0], [8, 8, 8, 8, 0, 5, 0, 0, 6, 0], [0, 0, 0, 0, 0, 5, 0, 0, 6, 0], [5, 5, 5, 5, 5, 5, 0, 0, 6, 0], [6, 6, 6, 6, 6, 6, 6, 6, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 2, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[2, 2, 0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 0, 0], [1, 1, 1, 1, 1, 0, 0, 0, 0, 0], [1, 1, 1, 1, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 2, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 7, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0]] -> [[2, 8, 3, 0, 0, 2, 0, 0, 7, 0], [3, 8, 3, 0, 0, 2, 0, 0, 7, 0], [0, 8, 0, 0, 0, 2, 0, 0, 7, 0], [0, 8, 0, 0, 0, 2, 0, 0, 7, 0], [0, 8, 0, 0, 0, 2, 0, 0, 7, 0], [0, 8, 0, 0, 0, 2, 0, 0, 7, 0], [0, 8, 0, 0, 0, 2, 0, 0, 7, 0], [2, 2, 2, 2, 2, 2, 0, 0, 7, 0], [7, 7, 7, 7, 7, 2, 7, 7, 7, 0], [2, 2, 2, 2, 2, 2, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 9, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[3, 9, 0, 0, 0, 0, 0, 0, 0, 0], [3, 9, 0, 0, 0, 0, 0, 0, 0, 0], [3, 9, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\n",
+            "Replicate 4": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 9, 0, 0, 9, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0]] -> [[0, 0, 7, 0, 9, 0, 0, 9, 2, 0], [0, 0, 7, 0, 9, 0, 0, 9, 2, 0], [0, 0, 7, 0, 9, 0, 0, 9, 2, 0], [0, 0, 7, 0, 9, 0, 0, 9, 2, 0], [0, 0, 7, 0, 9, 0, 0, 9, 2, 0], [7, 7, 7, 0, 9, 0, 0, 9, 2, 0], [0, 0, 0, 0, 9, 0, 0, 9, 2, 0], [0, 0, 0, 0, 9, 0, 0, 9, 2, 0], [9, 9, 9, 9, 9, 9, 9, 9, 2, 0], [2, 2, 2, 2, 2, 2, 2, 2, 2, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 6, 0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 0, 0], [0, 0, 0, 7, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[3, 3, 3, 7, 3, 3, 3, 3, 0, 0], [0, 0, 0, 7, 0, 0, 0, 3, 0, 0], [5, 5, 5, 7, 0, 0, 0, 3, 0, 0], [0, 0, 0, 7, 0, 0, 0, 3, 0, 0], [0, 0, 0, 7, 0, 0, 0, 3, 0, 0], [0, 0, 0, 7, 0, 0, 0, 3, 0, 0], [3, 3, 3, 7, 3, 3, 3, 3, 0, 0], [7, 7, 7, 7, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 8, 0, 5, 0, 0, 6, 0], [8, 8, 8, 8, 0, 5, 0, 0, 6, 0], [0, 0, 0, 0, 0, 5, 0, 0, 6, 0], [5, 5, 5, 5, 5, 5, 0, 0, 6, 0], [6, 6, 6, 6, 6, 6, 6, 6, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 5, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 5, 5, 0, 0, 0, 0, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [0, 0, 0, 5, 5, 0, 0, 0, 0, 0], [0, 0, 0, 5, 5, 0, 0, 0, 0, 0], [0, 0, 0, 5, 5, 0, 0, 0, 0, 0], [1, 1, 1, 5, 5, 0, 0, 0, 0, 0], [1, 1, 1, 5, 5, 0, 0, 0, 0, 0], [0, 0, 0, 5, 5, 0, 0, 0, 0, 0], [0, 0, 0, 5, 5, 0, 0, 0, 0, 0], [5, 5, 5, 5, 5, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 9, 0, 0, 9, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0]] -> [[0, 0, 7, 0, 9, 0, 0, 9, 2, 0], [0, 0, 7, 0, 9, 0, 0, 9, 2, 0], [0, 0, 7, 0, 9, 0, 0, 9, 2, 0], [0, 0, 7, 0, 9, 0, 0, 9, 2, 0], [0, 0, 7, 0, 9, 0, 0, 9, 2, 0], [7, 7, 7, 0, 9, 0, 0, 9, 2, 0], [0, 0, 0, 0, 9, 0, 0, 9, 2, 0], [0, 0, 0, 0, 9, 0, 0, 9, 2, 0], [9, 9, 9, 9, 9, 9, 9, 9, 2, 0], [2, 2, 2, 2, 2, 2, 2, 2, 2, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 9, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 8, 0]] -> [[5, 9, 0, 0, 0, 0, 0, 0, 8, 0], [5, 9, 0, 0, 0, 0, 0, 0, 8, 0], [5, 9, 0, 0, 0, 0, 0, 0, 8, 0], [5, 0, 0, 0, 0, 0, 0, 0, 8, 0], [5, 0, 0, 0, 0, 0, 0, 0, 8, 0], [5, 0, 0, 0, 0, 0, 0, 0, 8, 0], [5, 0, 0, 0, 0, 0, 0, 0, 8, 0], [5, 0, 0, 0, 0, 0, 0, 0, 8, 0], [0, 0, 0, 0, 0, 0, 0, 0, 8, 0], [8, 8, 8, 8, 8, 8, 8, 8, 8, 0]]\n"
+        }
+    }
+}
\ No newline at end of file
diff --git a/prompts/program_synthesis/program_synthesis_nexamples8_prompts.json b/prompts/program_synthesis/program_synthesis_nexamples8_prompts.json
new file mode 100644
index 0000000000000000000000000000000000000000..8b8c57089374f150064880db9cbe966392e76770
--- /dev/null
+++ b/prompts/program_synthesis/program_synthesis_nexamples8_prompts.json
@@ -0,0 +1,66 @@
+{
+    "SCMm5ob": {
+        "L1": {
+            "Replicate 0": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 9, 0, 4, 0, 3], [0, 4, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 4, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 9, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 3], [0, 9, 0, 0, 0, 4, 0, 0, 0, 2], [0, 0, 0, 0, 0, 9, 0, 2, 4, 0], [3, 0, 3, 0, 3, 0, 0, 0, 3, 0], [0, 0, 4, 3, 0, 0, 3, 0, 4, 0], [9, 3, 0, 0, 0, 0, 2, 0, 0, 0]] -> [[0, 0, 0, 3], [0, 0, 0, 3], [4, 0, 0, 3], [4, 0, 0, 3], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [9, 0, 0, 2, 0, 0, 9, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2, 0, 9, 0], [9, 4, 0, 0, 9, 3, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 2, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 9, 4, 0, 9, 0, 0, 0, 2, 9], [0, 4, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 3, 0, 9, 0, 9, 0, 9, 4], [0, 0, 9, 0, 4, 0, 0, 0, 3, 0]] -> [[0, 0, 9, 0], [0, 0, 9, 0], [0, 0, 9, 0], [0, 0, 9, 0], [0, 0, 9, 0], [0, 0, 9, 0], [0, 2, 9, 0], [4, 2, 9, 0], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 3, 0, 0, 0, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 9, 0, 0, 3, 0, 0, 0, 0, 0], [0, 9, 3, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 0, 0], [3, 0, 0, 0, 0, 3, 0, 9, 0, 0], [0, 0, 4, 0, 0, 9, 0, 0, 9, 4], [0, 3, 0, 0, 0, 0, 0, 0, 0, 0], [9, 0, 4, 3, 2, 9, 0, 0, 0, 0], [4, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 3], [0, 0, 9, 3], [0, 0, 9, 3], [4, 0, 9, 3], [4, 0, 9, 3], [4, 0, 9, 3], [4, 0, 9, 3], [4, 2, 9, 3]]\nExample input-output arrays:\n[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 9, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 9, 2, 2, 2, 0, 0, 0, 0, 9], [0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 4, 3, 0, 0, 0, 0, 0, 3, 0], [0, 0, 0, 2, 3, 0, 0, 0, 0, 0], [0, 0, 4, 9, 2, 0, 0, 0, 4, 4], [0, 0, 0, 0, 4, 0, 0, 0, 0, 0], [0, 0, 4, 0, 0, 0, 0, 9, 3, 9]] -> [[0, 2, 0, 0], [0, 2, 0, 0], [4, 2, 9, 0], [4, 2, 9, 0], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3]]\nExample input-output arrays:\n[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 9, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 9, 2, 2, 2, 0, 0, 0, 0, 9], [0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 4, 3, 0, 0, 0, 0, 0, 3, 0], [0, 0, 0, 2, 3, 0, 0, 0, 0, 0], [0, 0, 4, 9, 2, 0, 0, 0, 4, 4], [0, 0, 0, 0, 4, 0, 0, 0, 0, 0], [0, 0, 4, 0, 0, 0, 0, 9, 3, 9]] -> [[0, 2, 0, 0], [0, 2, 0, 0], [4, 2, 9, 0], [4, 2, 9, 0], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3]]\nExample input-output arrays:\n[[0, 9, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 3, 0, 9, 2, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 4, 2, 0, 0, 0, 0, 9, 0, 0], [0, 0, 0, 4, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2, 0, 0, 0], [0, 0, 0, 2, 4, 0, 0, 3, 0, 0], [3, 2, 0, 4, 0, 3, 0, 2, 0, 0], [0, 3, 0, 0, 4, 0, 9, 9, 4, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 2, 0, 0], [4, 2, 0, 0], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3]]\nExample input-output arrays:\n[[0, 9, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 3, 0, 9, 2, 0], [0, 0, 0, 0, 0, 2, 0, 0, 0, 0], [0, 4, 2, 0, 0, 0, 0, 9, 0, 0], [0, 0, 0, 4, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2, 0, 0, 0], [0, 0, 0, 2, 4, 0, 0, 3, 0, 0], [3, 2, 0, 4, 0, 3, 0, 2, 0, 0], [0, 3, 0, 0, 4, 0, 9, 9, 4, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 2, 0, 0], [4, 2, 0, 0], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 3, 0, 0, 0, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 9, 0, 0, 3, 0, 0, 0, 0, 0], [0, 9, 3, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 0, 0], [3, 0, 0, 0, 0, 3, 0, 9, 0, 0], [0, 0, 4, 0, 0, 9, 0, 0, 9, 4], [0, 3, 0, 0, 0, 0, 0, 0, 0, 0], [9, 0, 4, 3, 2, 9, 0, 0, 0, 0], [4, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 3], [0, 0, 9, 3], [0, 0, 9, 3], [4, 0, 9, 3], [4, 0, 9, 3], [4, 0, 9, 3], [4, 0, 9, 3], [4, 2, 9, 3]]\n",
+            "Replicate 1": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 2, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 4, 0, 0, 0, 0, 0], [4, 3, 9, 0, 0, 0, 0, 3, 0, 3], [0, 4, 0, 0, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 0, 0], [0, 0, 0, 0, 0, 0, 9, 0, 0, 0], [0, 0, 0, 9, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 9], [3, 0, 0, 0, 0, 0, 0, 2, 0, 4]] -> [[0, 0, 0, 3], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3]]\nExample input-output arrays:\n[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 9, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 9, 2, 2, 2, 0, 0, 0, 0, 9], [0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 4, 3, 0, 0, 0, 0, 0, 3, 0], [0, 0, 0, 2, 3, 0, 0, 0, 0, 0], [0, 0, 4, 9, 2, 0, 0, 0, 4, 4], [0, 0, 0, 0, 4, 0, 0, 0, 0, 0], [0, 0, 4, 0, 0, 0, 0, 9, 3, 9]] -> [[0, 2, 0, 0], [0, 2, 0, 0], [4, 2, 9, 0], [4, 2, 9, 0], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 0, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 0, 0], [0, 3, 0, 0, 0, 3, 0, 0, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 4, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 9], [0, 0, 0, 4, 0, 0, 3, 0, 4, 0]] -> [[0, 0, 0, 3], [4, 2, 0, 3], [4, 2, 0, 3], [4, 2, 0, 3], [4, 2, 9, 3]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 4, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 4, 0, 0, 0, 9], [0, 0, 0, 2, 4, 0, 0, 0, 0, 0], [0, 0, 3, 4, 0, 0, 0, 0, 0, 0], [0, 0, 0, 4, 0, 4, 2, 4, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2, 9, 0, 0], [4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 3, 0, 0, 0]] -> [[4, 0, 0, 0], [4, 0, 0, 0], [4, 0, 0, 0], [4, 0, 0, 0], [4, 2, 0, 0], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3]]\nExample input-output arrays:\n[[3, 0, 0, 0, 3, 0, 0, 4, 0, 0], [0, 3, 0, 9, 0, 0, 0, 0, 0, 3], [0, 3, 4, 0, 0, 9, 0, 0, 0, 9], [3, 9, 0, 0, 0, 0, 0, 9, 0, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 4, 0, 0, 0, 0, 0, 3, 0, 0], [0, 0, 9, 0, 0, 0, 9, 0, 4, 2], [0, 0, 0, 0, 0, 0, 0, 0, 2, 4], [2, 0, 0, 0, 0, 0, 0, 2, 0, 3], [4, 0, 0, 0, 0, 0, 0, 2, 0, 0]] -> [[0, 0, 0, 3], [0, 0, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 9, 0, 4, 0, 3], [0, 4, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 4, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 9, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 3], [0, 9, 0, 0, 0, 4, 0, 0, 0, 2], [0, 0, 0, 0, 0, 9, 0, 2, 4, 0], [3, 0, 3, 0, 3, 0, 0, 0, 3, 0], [0, 0, 4, 3, 0, 0, 3, 0, 4, 0], [9, 3, 0, 0, 0, 0, 2, 0, 0, 0]] -> [[0, 0, 0, 3], [0, 0, 0, 3], [4, 0, 0, 3], [4, 0, 0, 3], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3]]\nExample input-output arrays:\n[[0, 2, 0, 0, 0, 9, 0, 9, 4, 0], [0, 0, 0, 2, 0, 4, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 4, 0, 0, 0], [4, 0, 0, 0, 0, 9, 0, 9, 0, 0], [4, 9, 4, 0, 0, 2, 0, 0, 0, 9], [0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 3, 0, 0, 9, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 4, 3, 0, 0, 0, 0, 2, 0]] -> [[4, 0, 9, 0], [4, 2, 9, 0], [4, 2, 9, 0], [4, 2, 9, 0], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 9, 0, 4, 0, 3], [0, 4, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 4, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 9, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 3], [0, 9, 0, 0, 0, 4, 0, 0, 0, 2], [0, 0, 0, 0, 0, 9, 0, 2, 4, 0], [3, 0, 3, 0, 3, 0, 0, 0, 3, 0], [0, 0, 4, 3, 0, 0, 3, 0, 4, 0], [9, 3, 0, 0, 0, 0, 2, 0, 0, 0]] -> [[0, 0, 0, 3], [0, 0, 0, 3], [4, 0, 0, 3], [4, 0, 0, 3], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3]]\n",
+            "Replicate 2": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [9, 0, 0, 2, 0, 0, 9, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2, 0, 9, 0], [9, 4, 0, 0, 9, 3, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 2, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 9, 4, 0, 9, 0, 0, 0, 2, 9], [0, 4, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 3, 0, 9, 0, 9, 0, 9, 4], [0, 0, 9, 0, 4, 0, 0, 0, 3, 0]] -> [[0, 0, 9, 0], [0, 0, 9, 0], [0, 0, 9, 0], [0, 0, 9, 0], [0, 0, 9, 0], [0, 0, 9, 0], [0, 2, 9, 0], [4, 2, 9, 0], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3]]\nExample input-output arrays:\n[[0, 0, 3, 0, 0, 0, 0, 0, 0, 0], [0, 0, 4, 0, 0, 0, 0, 0, 4, 0], [0, 3, 2, 0, 0, 0, 9, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0, 9, 0], [0, 3, 0, 0, 0, 0, 0, 4, 0, 0], [9, 2, 0, 0, 3, 0, 0, 0, 0, 3], [0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 3, 0, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 3], [0, 2, 0, 3], [0, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 9, 0, 4, 0, 3], [0, 4, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 4, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 9, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 3], [0, 9, 0, 0, 0, 4, 0, 0, 0, 2], [0, 0, 0, 0, 0, 9, 0, 2, 4, 0], [3, 0, 3, 0, 3, 0, 0, 0, 3, 0], [0, 0, 4, 3, 0, 0, 3, 0, 4, 0], [9, 3, 0, 0, 0, 0, 2, 0, 0, 0]] -> [[0, 0, 0, 3], [0, 0, 0, 3], [4, 0, 0, 3], [4, 0, 0, 3], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3]]\nExample input-output arrays:\n[[4, 3, 0, 0, 0, 9, 9, 9, 0, 0], [0, 0, 0, 3, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2, 0, 9, 0], [0, 3, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 2, 0, 0, 0, 0, 9, 0], [0, 0, 0, 0, 0, 0, 9, 2, 0, 0], [0, 2, 0, 0, 0, 0, 0, 3, 2, 4], [4, 0, 0, 0, 0, 0, 0, 9, 0, 0], [0, 0, 3, 0, 0, 0, 0, 2, 0, 0], [0, 0, 0, 9, 0, 0, 3, 0, 0, 2]] -> [[0, 2, 9, 0], [0, 2, 9, 3], [0, 2, 9, 3], [0, 2, 9, 3], [0, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3]]\nExample input-output arrays:\n[[3, 0, 0, 0, 3, 0, 0, 4, 0, 0], [0, 3, 0, 9, 0, 0, 0, 0, 0, 3], [0, 3, 4, 0, 0, 9, 0, 0, 0, 9], [3, 9, 0, 0, 0, 0, 0, 9, 0, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 4, 0, 0, 0, 0, 0, 3, 0, 0], [0, 0, 9, 0, 0, 0, 9, 0, 4, 2], [0, 0, 0, 0, 0, 0, 0, 0, 2, 4], [2, 0, 0, 0, 0, 0, 0, 2, 0, 3], [4, 0, 0, 0, 0, 0, 0, 2, 0, 0]] -> [[0, 0, 0, 3], [0, 0, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3]]\nExample input-output arrays:\n[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 9, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 9, 2, 2, 2, 0, 0, 0, 0, 9], [0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 4, 3, 0, 0, 0, 0, 0, 3, 0], [0, 0, 0, 2, 3, 0, 0, 0, 0, 0], [0, 0, 4, 9, 2, 0, 0, 0, 4, 4], [0, 0, 0, 0, 4, 0, 0, 0, 0, 0], [0, 0, 4, 0, 0, 0, 0, 9, 3, 9]] -> [[0, 2, 0, 0], [0, 2, 0, 0], [4, 2, 9, 0], [4, 2, 9, 0], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3]]\nExample input-output arrays:\n[[0, 3, 0, 0, 9, 0, 0, 9, 0, 0], [9, 0, 0, 0, 0, 0, 0, 3, 0, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4], [0, 3, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 9, 0, 0, 3, 0, 0, 0, 4], [0, 4, 0, 0, 0, 0, 0, 0, 0, 4], [9, 0, 0, 0, 0, 0, 4, 0, 0, 0], [0, 0, 0, 0, 0, 4, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 3]] -> [[0, 0, 0, 3], [4, 0, 0, 3], [4, 0, 9, 3], [4, 0, 9, 3], [4, 0, 9, 3], [4, 0, 9, 3], [4, 2, 9, 3]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 0, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 0, 0], [0, 3, 0, 0, 0, 3, 0, 0, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 4, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 9], [0, 0, 0, 4, 0, 0, 3, 0, 4, 0]] -> [[0, 0, 0, 3], [4, 2, 0, 3], [4, 2, 0, 3], [4, 2, 0, 3], [4, 2, 9, 3]]\n",
+            "Replicate 3": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 4, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 4, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 4, 0, 0, 0, 9, 0, 0, 4, 0], [0, 0, 0, 0, 0, 3, 0, 0, 3, 0], [0, 0, 0, 0, 0, 0, 4, 2, 0, 0], [0, 2, 0, 0, 0, 0, 3, 0, 0, 0], [0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 3, 0, 0, 0, 0, 0, 4, 0, 0], [0, 0, 0, 0, 0, 9, 4, 0, 0, 0]] -> [[4, 0, 0, 0], [4, 0, 0, 0], [4, 0, 0, 0], [4, 2, 0, 3], [4, 2, 0, 3], [4, 2, 9, 3], [4, 2, 9, 3]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [9, 0, 0, 2, 0, 0, 9, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2, 0, 9, 0], [9, 4, 0, 0, 9, 3, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 2, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 9, 4, 0, 9, 0, 0, 0, 2, 9], [0, 4, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 3, 0, 9, 0, 9, 0, 9, 4], [0, 0, 9, 0, 4, 0, 0, 0, 3, 0]] -> [[0, 0, 9, 0], [0, 0, 9, 0], [0, 0, 9, 0], [0, 0, 9, 0], [0, 0, 9, 0], [0, 0, 9, 0], [0, 2, 9, 0], [4, 2, 9, 0], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3]]\nExample input-output arrays:\n[[0, 2, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 4, 0, 0, 0, 0, 0], [4, 3, 9, 0, 0, 0, 0, 3, 0, 3], [0, 4, 0, 0, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 0, 0], [0, 0, 0, 0, 0, 0, 9, 0, 0, 0], [0, 0, 0, 9, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 9], [3, 0, 0, 0, 0, 0, 0, 2, 0, 4]] -> [[0, 0, 0, 3], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 4, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 4, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 4, 0, 0, 0, 9, 0, 0, 4, 0], [0, 0, 0, 0, 0, 3, 0, 0, 3, 0], [0, 0, 0, 0, 0, 0, 4, 2, 0, 0], [0, 2, 0, 0, 0, 0, 3, 0, 0, 0], [0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 3, 0, 0, 0, 0, 0, 4, 0, 0], [0, 0, 0, 0, 0, 9, 4, 0, 0, 0]] -> [[4, 0, 0, 0], [4, 0, 0, 0], [4, 0, 0, 0], [4, 2, 0, 3], [4, 2, 0, 3], [4, 2, 9, 3], [4, 2, 9, 3]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 9, 0, 4, 0, 3], [0, 4, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 4, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 9, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 3], [0, 9, 0, 0, 0, 4, 0, 0, 0, 2], [0, 0, 0, 0, 0, 9, 0, 2, 4, 0], [3, 0, 3, 0, 3, 0, 0, 0, 3, 0], [0, 0, 4, 3, 0, 0, 3, 0, 4, 0], [9, 3, 0, 0, 0, 0, 2, 0, 0, 0]] -> [[0, 0, 0, 3], [0, 0, 0, 3], [4, 0, 0, 3], [4, 0, 0, 3], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 0, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 0, 0], [0, 3, 0, 0, 0, 3, 0, 0, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 4, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 9], [0, 0, 0, 4, 0, 0, 3, 0, 4, 0]] -> [[0, 0, 0, 3], [4, 2, 0, 3], [4, 2, 0, 3], [4, 2, 0, 3], [4, 2, 9, 3]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 3, 0, 0, 0, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 9, 0, 0, 3, 0, 0, 0, 0, 0], [0, 9, 3, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 0, 0], [3, 0, 0, 0, 0, 3, 0, 9, 0, 0], [0, 0, 4, 0, 0, 9, 0, 0, 9, 4], [0, 3, 0, 0, 0, 0, 0, 0, 0, 0], [9, 0, 4, 3, 2, 9, 0, 0, 0, 0], [4, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 3], [0, 0, 9, 3], [0, 0, 9, 3], [4, 0, 9, 3], [4, 0, 9, 3], [4, 0, 9, 3], [4, 0, 9, 3], [4, 2, 9, 3]]\nExample input-output arrays:\n[[0, 3, 0, 0, 9, 0, 0, 9, 0, 0], [9, 0, 0, 0, 0, 0, 0, 3, 0, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4], [0, 3, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 9, 0, 0, 3, 0, 0, 0, 4], [0, 4, 0, 0, 0, 0, 0, 0, 0, 4], [9, 0, 0, 0, 0, 0, 4, 0, 0, 0], [0, 0, 0, 0, 0, 4, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 3]] -> [[0, 0, 0, 3], [4, 0, 0, 3], [4, 0, 9, 3], [4, 0, 9, 3], [4, 0, 9, 3], [4, 0, 9, 3], [4, 2, 9, 3]]\n",
+            "Replicate 4": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 2, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 4, 0, 0, 0, 0, 0], [4, 3, 9, 0, 0, 0, 0, 3, 0, 3], [0, 4, 0, 0, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 0, 0], [0, 0, 0, 0, 0, 0, 9, 0, 0, 0], [0, 0, 0, 9, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 9], [3, 0, 0, 0, 0, 0, 0, 2, 0, 4]] -> [[0, 0, 0, 3], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3]]\nExample input-output arrays:\n[[3, 0, 0, 0, 3, 0, 0, 4, 0, 0], [0, 3, 0, 9, 0, 0, 0, 0, 0, 3], [0, 3, 4, 0, 0, 9, 0, 0, 0, 9], [3, 9, 0, 0, 0, 0, 0, 9, 0, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 4, 0, 0, 0, 0, 0, 3, 0, 0], [0, 0, 9, 0, 0, 0, 9, 0, 4, 2], [0, 0, 0, 0, 0, 0, 0, 0, 2, 4], [2, 0, 0, 0, 0, 0, 0, 2, 0, 3], [4, 0, 0, 0, 0, 0, 0, 2, 0, 0]] -> [[0, 0, 0, 3], [0, 0, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3]]\nExample input-output arrays:\n[[2, 0, 0, 4, 0, 0, 0, 3, 0, 0], [9, 0, 0, 0, 0, 0, 0, 0, 9, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 9, 0, 0, 9, 0], [0, 3, 4, 0, 0, 4, 0, 3, 0, 0], [0, 0, 0, 2, 0, 0, 3, 0, 0, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 9, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 2, 9, 0], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3]]\nExample input-output arrays:\n[[0, 2, 0, 0, 0, 9, 0, 9, 4, 0], [0, 0, 0, 2, 0, 4, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 4, 0, 0, 0], [4, 0, 0, 0, 0, 9, 0, 9, 0, 0], [4, 9, 4, 0, 0, 2, 0, 0, 0, 9], [0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 3, 0, 0, 9, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 4, 3, 0, 0, 0, 0, 2, 0]] -> [[4, 0, 9, 0], [4, 2, 9, 0], [4, 2, 9, 0], [4, 2, 9, 0], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [9, 0, 0, 2, 0, 0, 9, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2, 0, 9, 0], [9, 4, 0, 0, 9, 3, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 2, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 9, 4, 0, 9, 0, 0, 0, 2, 9], [0, 4, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 3, 0, 9, 0, 9, 0, 9, 4], [0, 0, 9, 0, 4, 0, 0, 0, 3, 0]] -> [[0, 0, 9, 0], [0, 0, 9, 0], [0, 0, 9, 0], [0, 0, 9, 0], [0, 0, 9, 0], [0, 0, 9, 0], [0, 2, 9, 0], [4, 2, 9, 0], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [9, 0, 0, 2, 0, 0, 9, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2, 0, 9, 0], [9, 4, 0, 0, 9, 3, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 2, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 9, 4, 0, 9, 0, 0, 0, 2, 9], [0, 4, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 3, 0, 9, 0, 9, 0, 9, 4], [0, 0, 9, 0, 4, 0, 0, 0, 3, 0]] -> [[0, 0, 9, 0], [0, 0, 9, 0], [0, 0, 9, 0], [0, 0, 9, 0], [0, 0, 9, 0], [0, 0, 9, 0], [0, 2, 9, 0], [4, 2, 9, 0], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 0, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 0, 0], [0, 3, 0, 0, 0, 3, 0, 0, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 4, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 9], [0, 0, 0, 4, 0, 0, 3, 0, 4, 0]] -> [[0, 0, 0, 3], [4, 2, 0, 3], [4, 2, 0, 3], [4, 2, 0, 3], [4, 2, 9, 3]]\nExample input-output arrays:\n[[0, 2, 0, 0, 0, 9, 0, 9, 4, 0], [0, 0, 0, 2, 0, 4, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 4, 0, 0, 0], [4, 0, 0, 0, 0, 9, 0, 9, 0, 0], [4, 9, 4, 0, 0, 2, 0, 0, 0, 9], [0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 3, 0, 0, 9, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 4, 3, 0, 0, 0, 0, 2, 0]] -> [[4, 0, 9, 0], [4, 2, 9, 0], [4, 2, 9, 0], [4, 2, 9, 0], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3]]\n"
+        },
+        "L3": {
+            "Replicate 0": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[4, 3, 0, 0, 0, 9, 9, 9, 0, 0], [0, 0, 0, 3, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2, 0, 9, 0], [0, 3, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 2, 0, 0, 0, 0, 9, 0], [0, 0, 0, 0, 0, 0, 9, 2, 0, 0], [0, 2, 0, 0, 0, 0, 0, 3, 2, 4], [4, 0, 0, 0, 0, 0, 0, 9, 0, 0], [0, 0, 3, 0, 0, 0, 0, 2, 0, 0], [0, 0, 0, 9, 0, 0, 3, 0, 0, 2]] -> [[0, 2, 9, 0], [0, 2, 9, 3], [0, 2, 9, 3], [0, 2, 9, 3], [0, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3]]\nCounterfactual: Now imagine that we intervened on the previous input by rotating or flipping it.\n[[0, 0, 9, 0, 4, 0, 0, 0, 3, 0], [0, 0, 3, 0, 9, 0, 9, 0, 9, 4], [0, 4, 0, 0, 0, 2, 0, 0, 0, 0], [0, 9, 4, 0, 9, 0, 0, 0, 2, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 2, 3, 0, 0], [9, 4, 0, 0, 9, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2, 0, 9, 0], [9, 0, 0, 2, 0, 0, 9, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 9, 0], [0, 0, 9, 0], [0, 0, 9, 0], [0, 0, 9, 0], [0, 0, 9, 0], [0, 0, 9, 0], [0, 2, 9, 0], [4, 2, 9, 0], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3]]\nExample input-output arrays:\n[[0, 2, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 4, 0, 0, 0, 0, 0], [4, 3, 9, 0, 0, 0, 0, 3, 0, 3], [0, 4, 0, 0, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 0, 0], [0, 0, 0, 0, 0, 0, 9, 0, 0, 0], [0, 0, 0, 9, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 9], [3, 0, 0, 0, 0, 0, 0, 2, 0, 4]] -> [[0, 0, 0, 3], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3]]\nCounterfactual: Now imagine that we intervened on the previous input by rotating or flipping it.\n[[0, 0, 0, 2, 0, 0, 0, 0, 0, 3], [0, 0, 0, 0, 0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 4, 0, 0, 0, 0], [9, 0, 0, 0, 0, 0, 4, 0, 0, 0], [0, 4, 0, 0, 0, 0, 0, 0, 0, 4], [0, 0, 9, 0, 0, 3, 0, 0, 0, 4], [0, 3, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4], [9, 0, 0, 0, 0, 0, 0, 3, 0, 3], [0, 3, 0, 0, 9, 0, 0, 9, 0, 0]] -> [[0, 0, 0, 3], [4, 0, 0, 3], [4, 0, 9, 3], [4, 0, 9, 3], [4, 0, 9, 3], [4, 0, 9, 3], [4, 2, 9, 3]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 4, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 4, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 4, 0, 0, 0, 9, 0, 0, 4, 0], [0, 0, 0, 0, 0, 3, 0, 0, 3, 0], [0, 0, 0, 0, 0, 0, 4, 2, 0, 0], [0, 2, 0, 0, 0, 0, 3, 0, 0, 0], [0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 3, 0, 0, 0, 0, 0, 4, 0, 0], [0, 0, 0, 0, 0, 9, 4, 0, 0, 0]] -> [[4, 0, 0, 0], [4, 0, 0, 0], [4, 0, 0, 0], [4, 2, 0, 3], [4, 2, 0, 3], [4, 2, 9, 3], [4, 2, 9, 3]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[7, 7, 7, 7, 7, 7, 4, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 4, 7], [7, 7, 7, 2, 7, 7, 7, 7, 7, 7], [7, 4, 7, 7, 7, 9, 7, 7, 4, 7], [7, 7, 7, 7, 7, 3, 7, 7, 3, 7], [7, 7, 7, 7, 7, 7, 4, 2, 7, 7], [7, 2, 7, 7, 7, 7, 3, 7, 7, 7], [7, 7, 2, 7, 7, 7, 7, 7, 7, 7], [7, 3, 7, 7, 7, 7, 7, 4, 7, 7], [7, 7, 7, 7, 7, 9, 4, 7, 7, 7]] -> [[4, 7, 7, 7], [4, 7, 7, 7], [4, 7, 7, 7], [4, 2, 7, 3], [4, 2, 7, 3], [4, 2, 9, 3], [4, 2, 9, 3]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 3, 0, 0], [4, 0, 0, 0, 0, 9, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 0, 0], [0, 0, 0, 0, 2, 0, 4, 0, 0, 0], [0, 3, 0, 0, 4, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 2, 4, 2, 0, 0, 0], [0, 2, 0, 9, 3, 0, 9, 0, 3, 0], [0, 0, 0, 0, 0, 0, 0, 4, 0, 0], [0, 3, 4, 0, 4, 9, 4, 0, 0, 0]] -> [[4, 0, 0, 0], [4, 0, 0, 0], [4, 0, 0, 0], [4, 0, 0, 3], [4, 2, 0, 3], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3]]\nCounterfactual: Now imagine that we intervened on the previous input by rotating or flipping it.\n[[0, 4, 9, 0, 9, 0, 0, 0, 2, 0], [0, 0, 0, 0, 4, 0, 2, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 0, 0, 4, 0, 0, 0, 0, 0, 0], [0, 0, 9, 0, 9, 0, 0, 0, 0, 4], [9, 0, 0, 0, 2, 0, 0, 4, 9, 4], [0, 0, 0, 0, 0, 0, 0, 2, 0, 0], [0, 0, 9, 0, 0, 3, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 0, 0, 0, 0, 3, 4, 0, 0]] -> [[4, 0, 9, 0], [4, 2, 9, 0], [4, 2, 9, 0], [4, 2, 9, 0], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3]]\n",
+            "Replicate 1": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 9, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 9, 2, 2, 2, 0, 0, 0, 0, 9], [0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 4, 3, 0, 0, 0, 0, 0, 3, 0], [0, 0, 0, 2, 3, 0, 0, 0, 0, 0], [0, 0, 4, 9, 2, 0, 0, 0, 4, 4], [0, 0, 0, 0, 4, 0, 0, 0, 0, 0], [0, 0, 4, 0, 0, 0, 0, 9, 3, 9]] -> [[0, 2, 0, 0], [0, 2, 0, 0], [4, 2, 9, 0], [4, 2, 9, 0], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [9, 5, 5, 2, 5, 5, 9, 5, 5, 5], [5, 5, 5, 5, 5, 5, 2, 5, 9, 5], [9, 4, 5, 5, 9, 3, 5, 5, 5, 5], [5, 5, 5, 2, 5, 5, 2, 3, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 9, 4, 5, 9, 5, 5, 5, 2, 9], [5, 4, 5, 5, 5, 2, 5, 5, 5, 5], [5, 5, 3, 5, 9, 5, 9, 5, 9, 4], [5, 5, 9, 5, 4, 5, 5, 5, 3, 5]] -> [[5, 5, 9, 5], [5, 5, 9, 5], [5, 5, 9, 5], [5, 5, 9, 5], [5, 5, 9, 5], [5, 5, 9, 5], [5, 2, 9, 5], [4, 2, 9, 5], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 3, 0, 0, 0, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 9, 0, 0, 3, 0, 0, 0, 0, 0], [0, 9, 3, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 0, 0], [3, 0, 0, 0, 0, 3, 0, 9, 0, 0], [0, 0, 4, 0, 0, 9, 0, 0, 9, 4], [0, 3, 0, 0, 0, 0, 0, 0, 0, 0], [9, 0, 4, 3, 2, 9, 0, 0, 0, 0], [4, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 3], [0, 0, 9, 3], [0, 0, 9, 3], [4, 0, 9, 3], [4, 0, 9, 3], [4, 0, 9, 3], [4, 0, 9, 3], [4, 2, 9, 3]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 3, 0, 0, 9, 0, 0, 9, 0, 0], [9, 0, 0, 0, 0, 0, 0, 3, 0, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4], [0, 3, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 9, 0, 0, 3, 0, 0, 0, 4], [0, 4, 0, 0, 0, 0, 0, 0, 0, 4], [9, 0, 0, 0, 0, 0, 4, 0, 0, 0], [0, 0, 0, 0, 0, 4, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 3]] -> [[0, 0, 0, 3], [4, 0, 0, 3], [4, 0, 9, 3], [4, 0, 9, 3], [4, 0, 9, 3], [4, 0, 9, 3], [4, 0, 9, 3]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 9, 0, 4, 0, 3], [0, 4, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 4, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 9, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 3], [0, 9, 0, 0, 0, 4, 0, 0, 0, 2], [0, 0, 0, 0, 0, 9, 0, 2, 4, 0], [3, 0, 3, 0, 3, 0, 0, 0, 3, 0], [0, 0, 4, 3, 0, 0, 3, 0, 4, 0], [9, 3, 0, 0, 0, 0, 2, 0, 0, 0]] -> [[0, 0, 0, 3], [0, 0, 0, 3], [4, 0, 0, 3], [4, 0, 0, 3], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 9, 0, 0, 0, 0], [0, 0, 0, 0, 0, 3, 0, 0, 3, 0], [0, 0, 0, 0, 0, 0, 0, 2, 0, 0], [0, 2, 0, 0, 0, 0, 3, 0, 0, 0], [0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 3, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 9, 0, 0, 0, 0]] -> [[0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 2, 0, 3], [0, 2, 0, 3], [0, 2, 9, 3], [0, 2, 9, 3]]\nExample input-output arrays:\n[[0, 2, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 4, 0, 0, 0, 0, 0], [4, 3, 9, 0, 0, 0, 0, 3, 0, 3], [0, 4, 0, 0, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 0, 0], [0, 0, 0, 0, 0, 0, 9, 0, 0, 0], [0, 0, 0, 9, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 9], [3, 0, 0, 0, 0, 0, 0, 2, 0, 4]] -> [[0, 0, 0, 3], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3]]\nCounterfactual: Now imagine that we intervened on the previous input by rotating or flipping it.\n[[0, 0, 4, 3, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 3, 0, 0, 9, 0, 0], [0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [4, 9, 4, 0, 0, 2, 0, 0, 0, 9], [4, 0, 0, 0, 0, 9, 0, 9, 0, 0], [0, 0, 0, 0, 0, 0, 4, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2, 0, 0, 0], [0, 0, 0, 2, 0, 4, 0, 0, 0, 0], [0, 2, 0, 0, 0, 9, 0, 9, 4, 0]] -> [[4, 0, 9, 0], [4, 2, 9, 0], [4, 2, 9, 0], [4, 2, 9, 0], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3]]\n",
+            "Replicate 2": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[2, 0, 0, 4, 0, 0, 0, 3, 0, 0], [9, 0, 0, 0, 0, 0, 0, 0, 9, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 9, 0, 0, 9, 0], [0, 3, 4, 0, 0, 4, 0, 3, 0, 0], [0, 0, 0, 2, 0, 0, 3, 0, 0, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 9, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 2, 9, 0], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3]]\nCounterfactual: Now imagine that we intervened on the previous input by rotating or flipping it.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 9, 0, 0, 2, 0, 0, 9], [0, 9, 0, 2, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 3, 9, 0, 0, 4, 9], [0, 0, 3, 2, 0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [9, 2, 0, 0, 0, 9, 0, 4, 9, 0], [0, 0, 0, 0, 2, 0, 0, 0, 4, 0], [4, 9, 0, 9, 0, 9, 0, 3, 0, 0], [0, 3, 0, 0, 0, 4, 0, 9, 0, 0]] -> [[0, 0, 9, 0], [0, 0, 9, 0], [0, 0, 9, 0], [0, 0, 9, 0], [0, 0, 9, 0], [0, 0, 9, 0], [0, 2, 9, 0], [4, 2, 9, 0], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3]]\nExample input-output arrays:\n[[4, 3, 0, 0, 0, 9, 9, 9, 0, 0], [0, 0, 0, 3, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2, 0, 9, 0], [0, 3, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 2, 0, 0, 0, 0, 9, 0], [0, 0, 0, 0, 0, 0, 9, 2, 0, 0], [0, 2, 0, 0, 0, 0, 0, 3, 2, 4], [4, 0, 0, 0, 0, 0, 0, 9, 0, 0], [0, 0, 3, 0, 0, 0, 0, 2, 0, 0], [0, 0, 0, 9, 0, 0, 3, 0, 0, 2]] -> [[0, 2, 9, 0], [0, 2, 9, 3], [0, 2, 9, 3], [0, 2, 9, 3], [0, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3]]\nCounterfactual: Now imagine that we intervened on the previous input by rotating or flipping it.\n[[0, 0, 9, 0, 0, 9, 0, 0, 3, 0], [3, 0, 3, 0, 0, 0, 0, 0, 0, 9], [4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 0], [4, 0, 0, 0, 3, 0, 0, 9, 0, 0], [4, 0, 0, 0, 0, 0, 0, 0, 4, 0], [0, 0, 0, 4, 0, 0, 0, 0, 0, 9], [0, 0, 0, 0, 4, 0, 0, 0, 0, 0], [0, 0, 0, 3, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 2, 0, 0, 0]] -> [[0, 0, 0, 3], [4, 0, 0, 3], [4, 0, 9, 3], [4, 0, 9, 3], [4, 0, 9, 3], [4, 0, 9, 3], [4, 2, 9, 3]]\nExample input-output arrays:\n[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 9, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 9, 2, 2, 2, 0, 0, 0, 0, 9], [0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 4, 3, 0, 0, 0, 0, 0, 3, 0], [0, 0, 0, 2, 3, 0, 0, 0, 0, 0], [0, 0, 4, 9, 2, 0, 0, 0, 4, 4], [0, 0, 0, 0, 4, 0, 0, 0, 0, 0], [0, 0, 4, 0, 0, 0, 0, 9, 3, 9]] -> [[0, 2, 0, 0], [0, 2, 0, 0], [4, 2, 9, 0], [4, 2, 9, 0], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 9, 0, 0, 0, 0], [0, 0, 0, 0, 0, 3, 0, 0, 3, 0], [0, 0, 0, 0, 0, 0, 0, 2, 0, 0], [0, 2, 0, 0, 0, 0, 3, 0, 0, 0], [0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 3, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 9, 0, 0, 0, 0]] -> [[0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 2, 0, 3], [0, 2, 0, 3], [0, 2, 9, 3], [0, 2, 9, 3]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 3, 0, 0], [4, 0, 0, 0, 0, 9, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 0, 0], [0, 0, 0, 0, 2, 0, 4, 0, 0, 0], [0, 3, 0, 0, 4, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 2, 4, 2, 0, 0, 0], [0, 2, 0, 9, 3, 0, 9, 0, 3, 0], [0, 0, 0, 0, 0, 0, 0, 4, 0, 0], [0, 3, 4, 0, 4, 9, 4, 0, 0, 0]] -> [[4, 0, 0, 0], [4, 0, 0, 0], [4, 0, 0, 0], [4, 0, 0, 3], [4, 2, 0, 3], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[8, 2, 8, 8, 8, 9, 8, 9, 4, 8], [8, 8, 8, 2, 8, 4, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 2, 8, 8, 8], [8, 8, 8, 8, 8, 8, 4, 8, 8, 8], [4, 8, 8, 8, 8, 9, 8, 9, 8, 8], [4, 9, 4, 8, 8, 2, 8, 8, 8, 9], [8, 8, 2, 8, 8, 8, 8, 8, 8, 8], [8, 8, 3, 8, 3, 8, 8, 9, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 4, 3, 8, 8, 8, 8, 2, 8]] -> [[4, 8, 9, 8], [4, 2, 9, 8], [4, 2, 9, 8], [4, 2, 9, 8], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3]]\n",
+            "Replicate 3": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 2, 0, 0, 0, 9, 0, 9, 4, 0], [0, 0, 0, 2, 0, 4, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 4, 0, 0, 0], [4, 0, 0, 0, 0, 9, 0, 9, 0, 0], [4, 9, 4, 0, 0, 2, 0, 0, 0, 9], [0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 3, 0, 0, 9, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 4, 3, 0, 0, 0, 0, 2, 0]] -> [[4, 0, 9, 0], [4, 2, 9, 0], [4, 2, 9, 0], [4, 2, 9, 0], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [9, 0, 0, 2, 0, 0, 9, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2, 0, 9, 0], [9, 4, 0, 0, 9, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 9, 4, 0, 9, 0, 0, 0, 2, 9], [0, 4, 0, 0, 0, 2, 0, 0, 0, 0], [0, 0, 0, 0, 9, 0, 9, 0, 9, 4], [0, 0, 9, 0, 4, 0, 0, 0, 0, 0]] -> [[0, 0, 9, 0], [0, 0, 9, 0], [0, 0, 9, 0], [0, 0, 9, 0], [0, 0, 9, 0], [0, 0, 9, 0], [0, 2, 9, 0], [4, 2, 9, 0], [4, 2, 9, 0], [4, 2, 9, 0], [4, 2, 9, 0], [4, 2, 9, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 0, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 0, 0], [0, 3, 0, 0, 0, 3, 0, 0, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 4, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 9], [0, 0, 0, 4, 0, 0, 3, 0, 4, 0]] -> [[0, 0, 0, 3], [4, 2, 0, 3], [4, 2, 0, 3], [4, 2, 0, 3], [4, 2, 9, 3]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[7, 3, 7, 7, 9, 7, 7, 9, 7, 7], [9, 7, 7, 7, 7, 7, 7, 3, 7, 3], [7, 7, 7, 7, 7, 7, 7, 7, 7, 4], [7, 3, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 9, 7, 7, 3, 7, 7, 7, 4], [7, 4, 7, 7, 7, 7, 7, 7, 7, 4], [9, 7, 7, 7, 7, 7, 4, 7, 7, 7], [7, 7, 7, 7, 7, 4, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 3, 7, 7, 7], [7, 7, 7, 2, 7, 7, 7, 7, 7, 3]] -> [[7, 7, 7, 3], [4, 7, 7, 3], [4, 7, 9, 3], [4, 7, 9, 3], [4, 7, 9, 3], [4, 7, 9, 3], [4, 2, 9, 3]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 0, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 0, 0], [0, 3, 0, 0, 0, 3, 0, 0, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 4, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 9], [0, 0, 0, 4, 0, 0, 3, 0, 4, 0]] -> [[0, 0, 0, 3], [4, 2, 0, 3], [4, 2, 0, 3], [4, 2, 0, 3], [4, 2, 9, 3]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[8, 8, 8, 8, 8, 8, 4, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 4, 8], [8, 8, 8, 2, 8, 8, 8, 8, 8, 8], [8, 4, 8, 8, 8, 9, 8, 8, 4, 8], [8, 8, 8, 8, 8, 3, 8, 8, 3, 8], [8, 8, 8, 8, 8, 8, 4, 2, 8, 8], [8, 2, 8, 8, 8, 8, 3, 8, 8, 8], [8, 8, 2, 8, 8, 8, 8, 8, 8, 8], [8, 3, 8, 8, 8, 8, 8, 4, 8, 8], [8, 8, 8, 8, 8, 9, 4, 8, 8, 8]] -> [[4, 8, 8, 8], [4, 8, 8, 8], [4, 8, 8, 8], [4, 2, 8, 3], [4, 2, 8, 3], [4, 2, 9, 3], [4, 2, 9, 3]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 4, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 4, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 4, 0, 0, 0, 9, 0, 0, 4, 0], [0, 0, 0, 0, 0, 3, 0, 0, 3, 0], [0, 0, 0, 0, 0, 0, 4, 2, 0, 0], [0, 2, 0, 0, 0, 0, 3, 0, 0, 0], [0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 3, 0, 0, 0, 0, 0, 4, 0, 0], [0, 0, 0, 0, 0, 9, 4, 0, 0, 0]] -> [[4, 0, 0, 0], [4, 0, 0, 0], [4, 0, 0, 0], [4, 2, 0, 3], [4, 2, 0, 3], [4, 2, 9, 3], [4, 2, 9, 3]]\nCounterfactual: Now imagine that we intervened on the previous input by rotating or flipping it.\n[[0, 4, 9, 0, 9, 0, 0, 0, 2, 0], [0, 0, 0, 0, 4, 0, 2, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 0, 0, 4, 0, 0, 0, 0, 0, 0], [0, 0, 9, 0, 9, 0, 0, 0, 0, 4], [9, 0, 0, 0, 2, 0, 0, 4, 9, 4], [0, 0, 0, 0, 0, 0, 0, 2, 0, 0], [0, 0, 9, 0, 0, 3, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 0, 0, 0, 0, 3, 4, 0, 0]] -> [[4, 0, 9, 0], [4, 2, 9, 0], [4, 2, 9, 0], [4, 2, 9, 0], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3]]\n",
+            "Replicate 4": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[3, 0, 0, 0, 3, 0, 0, 4, 0, 0], [0, 3, 0, 9, 0, 0, 0, 0, 0, 3], [0, 3, 4, 0, 0, 9, 0, 0, 0, 9], [3, 9, 0, 0, 0, 0, 0, 9, 0, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 4, 0, 0, 0, 0, 0, 3, 0, 0], [0, 0, 9, 0, 0, 0, 9, 0, 4, 2], [0, 0, 0, 0, 0, 0, 0, 0, 2, 4], [2, 0, 0, 0, 0, 0, 0, 2, 0, 3], [4, 0, 0, 0, 0, 0, 0, 2, 0, 0]] -> [[0, 0, 0, 3], [0, 0, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3]]\nCounterfactual: Now imagine that we intervened on the previous input by rotating or flipping it.\n[[0, 0, 0, 0, 0, 0, 9, 0, 4, 0], [0, 0, 9, 0, 0, 0, 2, 0, 9, 3], [0, 0, 0, 0, 3, 0, 0, 0, 0, 0], [0, 9, 2, 0, 2, 0, 0, 0, 9, 0], [0, 0, 0, 3, 0, 0, 0, 2, 0, 0], [0, 0, 0, 9, 0, 0, 9, 0, 9, 4], [0, 2, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 4, 0, 3, 9], [0, 0, 0, 4, 0, 0, 9, 4, 0, 0], [0, 9, 0, 9, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 9, 0], [0, 0, 9, 0], [0, 0, 9, 0], [0, 0, 9, 0], [0, 0, 9, 0], [0, 0, 9, 0], [0, 2, 9, 0], [4, 2, 9, 0], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3], [4, 2, 9, 3]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 3, 0, 0, 0, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 9, 0, 0, 3, 0, 0, 0, 0, 0], [0, 9, 3, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 0, 0], [3, 0, 0, 0, 0, 3, 0, 9, 0, 0], [0, 0, 4, 0, 0, 9, 0, 0, 9, 4], [0, 3, 0, 0, 0, 0, 0, 0, 0, 0], [9, 0, 4, 3, 2, 9, 0, 0, 0, 0], [4, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 3], [0, 0, 9, 3], [0, 0, 9, 3], [4, 0, 9, 3], [4, 0, 9, 3], [4, 0, 9, 3], [4, 0, 9, 3], [4, 2, 9, 3]]\nCounterfactual: Now imagine that we intervened on the previous input by rotating or flipping it.\n[[0, 0, 9, 0, 0, 9, 0, 0, 3, 0], [3, 0, 3, 0, 0, 0, 0, 0, 0, 9], [4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 3, 0], [4, 0, 0, 0, 3, 0, 0, 9, 0, 0], [4, 0, 0, 0, 0, 0, 0, 0, 4, 0], [0, 0, 0, 4, 0, 0, 0, 0, 0, 9], [0, 0, 0, 0, 4, 0, 0, 0, 0, 0], [0, 0, 0, 3, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 2, 0, 0, 0]] -> [[0, 0, 0, 3], [4, 0, 0, 3], [4, 0, 9, 3], [4, 0, 9, 3], [4, 0, 9, 3], [4, 0, 9, 3], [4, 2, 9, 3]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 3, 0, 0, 0, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 9, 0, 0, 3, 0, 0, 0, 0, 0], [0, 9, 3, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 0, 0], [3, 0, 0, 0, 0, 3, 0, 9, 0, 0], [0, 0, 4, 0, 0, 9, 0, 0, 9, 4], [0, 3, 0, 0, 0, 0, 0, 0, 0, 0], [9, 0, 4, 3, 2, 9, 0, 0, 0, 0], [4, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 3], [0, 0, 9, 3], [0, 0, 9, 3], [4, 0, 9, 3], [4, 0, 9, 3], [4, 0, 9, 3], [4, 0, 9, 3], [4, 2, 9, 3]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 9, 0, 0, 0, 0], [0, 0, 0, 0, 0, 3, 0, 0, 3, 0], [0, 0, 0, 0, 0, 0, 0, 2, 0, 0], [0, 2, 0, 0, 0, 0, 3, 0, 0, 0], [0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 3, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 9, 0, 0, 0, 0]] -> [[0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 2, 0, 3], [0, 2, 0, 3], [0, 2, 9, 3], [0, 2, 9, 3]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 0, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 0, 0], [0, 3, 0, 0, 0, 3, 0, 0, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 4, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 9], [0, 0, 0, 4, 0, 0, 3, 0, 4, 0]] -> [[0, 0, 0, 3], [4, 2, 0, 3], [4, 2, 0, 3], [4, 2, 0, 3], [4, 2, 9, 3]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 9, 0, 9, 4, 0], [0, 0, 0, 0, 0, 4, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 4, 0, 0, 0], [4, 0, 0, 0, 0, 9, 0, 9, 0, 0], [4, 9, 4, 0, 0, 0, 0, 0, 0, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 3, 0, 0, 9, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 4, 3, 0, 0, 0, 0, 0, 0]] -> [[4, 0, 9, 0], [4, 0, 9, 0], [4, 0, 9, 0], [4, 0, 9, 0], [4, 0, 9, 3], [4, 0, 9, 3], [4, 0, 9, 3]]\n"
+        }
+    },
+    "SCMev5t": {
+        "L1": {
+            "Replicate 0": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 9, 9, 9, 0, 9, 9, 0], [0, 0, 0, 9, 9, 9, 0, 9, 9, 0], [0, 0, 0, 9, 9, 9, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 9, 9, 0], [0, 0, 0, 0, 8, 8, 0, 9, 9, 0], [0, 0, 0, 0, 8, 8, 0, 9, 9, 0], [0, 0, 0, 0, 8, 8, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[8, 0, 0], [9, 9, 9]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 8, 0, 0, 8, 8, 0], [0, 0, 0, 8, 8, 0, 0, 8, 8, 0], [0, 0, 0, 0, 0, 0, 0, 8, 8, 0], [0, 0, 8, 8, 8, 0, 0, 0, 0, 0], [0, 0, 8, 8, 8, 0, 0, 9, 9, 0], [0, 0, 8, 8, 8, 0, 0, 9, 9, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[9, 0, 0], [8, 8, 8]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 9, 9, 9, 0, 0, 0, 0, 0], [0, 0, 9, 9, 9, 0, 0, 0, 0, 0], [0, 0, 9, 9, 9, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 9, 9, 0], [0, 0, 0, 0, 0, 0, 0, 9, 9, 0], [0, 0, 0, 0, 0, 0, 0, 9, 9, 0], [0, 0, 0, 8, 8, 8, 0, 0, 0, 0], [0, 0, 0, 8, 8, 8, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[8, 0], [9, 9]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 8, 0, 0, 0, 0, 0, 0, 0], [0, 8, 8, 0, 0, 9, 9, 9, 0, 0], [0, 8, 8, 0, 0, 9, 9, 9, 0, 0], [0, 0, 0, 0, 0, 9, 9, 9, 0, 0], [0, 8, 8, 8, 0, 0, 0, 0, 0, 0], [0, 8, 8, 8, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 5, 5, 5, 0], [0, 0, 0, 0, 0, 0, 5, 5, 5, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[5, 0], [9, 0], [8, 8]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 8, 8, 0, 0, 0, 0, 0], [0, 0, 8, 8, 8, 0, 0, 0, 0, 0], [0, 0, 8, 8, 8, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 9, 9, 0], [0, 0, 0, 8, 8, 8, 0, 9, 9, 0], [0, 0, 0, 8, 8, 8, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[9, 0], [8, 8]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 9, 9, 0, 0], [0, 0, 8, 8, 0, 0, 9, 9, 0, 0], [0, 0, 8, 8, 0, 0, 9, 9, 0, 0], [0, 0, 8, 8, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 9, 9, 0, 0, 9, 9, 0, 0], [0, 0, 9, 9, 0, 0, 9, 9, 0, 0], [0, 0, 0, 0, 0, 0, 9, 9, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[8, 0, 0], [9, 9, 9]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 9, 9, 0, 8, 8, 8, 0, 0], [0, 0, 9, 9, 0, 8, 8, 8, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 9, 9, 9, 0, 0, 0, 0, 0], [0, 0, 9, 9, 9, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 5, 5, 0, 0], [0, 0, 0, 0, 0, 0, 5, 5, 0, 0], [0, 0, 0, 0, 0, 0, 5, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[5, 0], [8, 0], [9, 9]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 8, 0, 8, 8, 8, 0, 0], [0, 0, 8, 8, 0, 8, 8, 8, 0, 0], [0, 0, 0, 0, 0, 8, 8, 8, 0, 0], [0, 0, 9, 9, 0, 0, 0, 0, 0, 0], [0, 0, 9, 9, 0, 0, 0, 0, 0, 0], [0, 0, 9, 9, 0, 0, 9, 9, 9, 0], [0, 0, 0, 0, 0, 0, 9, 9, 9, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[8, 8], [9, 9]]\n",
+            "Replicate 1": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 8, 0, 0, 8, 8, 0], [0, 0, 0, 8, 8, 0, 0, 8, 8, 0], [0, 0, 0, 0, 0, 0, 0, 8, 8, 0], [0, 0, 8, 8, 8, 0, 0, 0, 0, 0], [0, 0, 8, 8, 8, 0, 0, 9, 9, 0], [0, 0, 8, 8, 8, 0, 0, 9, 9, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[9, 0, 0], [8, 8, 8]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 9, 9, 9, 0, 9, 9, 0], [0, 0, 0, 9, 9, 9, 0, 9, 9, 0], [0, 0, 0, 9, 9, 9, 0, 9, 9, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 9, 9, 9, 0, 8, 8, 8, 0, 0], [0, 9, 9, 9, 0, 8, 8, 8, 0, 0], [0, 0, 0, 0, 0, 8, 8, 8, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[8, 0, 0], [9, 9, 9]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 8, 8, 0, 0, 0, 0, 0], [0, 0, 8, 8, 8, 0, 0, 0, 0, 0], [0, 0, 8, 8, 8, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 9, 9, 0], [0, 0, 0, 8, 8, 8, 0, 9, 9, 0], [0, 0, 0, 8, 8, 8, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[9, 0], [8, 8]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 8, 8, 0, 0, 0, 0, 0, 0], [0, 8, 8, 8, 0, 8, 8, 8, 0, 0], [0, 8, 8, 8, 0, 8, 8, 8, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 5, 5, 0, 9, 9, 9, 0, 0, 0], [0, 5, 5, 0, 9, 9, 9, 0, 0, 0], [0, 5, 5, 0, 9, 9, 9, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[5, 0], [9, 0], [8, 8]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 8, 8, 0, 0, 9, 9, 9, 0], [0, 8, 8, 8, 0, 0, 9, 9, 9, 0], [0, 0, 0, 0, 0, 0, 9, 9, 9, 0], [0, 0, 9, 9, 9, 0, 0, 0, 0, 0], [0, 0, 9, 9, 9, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 8, 8, 8, 0], [0, 0, 0, 5, 5, 0, 8, 8, 8, 0], [0, 0, 0, 5, 5, 0, 8, 8, 8, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[5, 0], [8, 8], [9, 9]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 9, 9, 9, 0, 9, 9, 0], [0, 0, 0, 9, 9, 9, 0, 9, 9, 0], [0, 0, 0, 9, 9, 9, 0, 9, 9, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 9, 9, 9, 0, 8, 8, 8, 0, 0], [0, 9, 9, 9, 0, 8, 8, 8, 0, 0], [0, 0, 0, 0, 0, 8, 8, 8, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[8, 0, 0], [9, 9, 9]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 8, 0, 0, 0, 0, 0, 0, 0], [0, 8, 8, 0, 0, 9, 9, 9, 0, 0], [0, 8, 8, 0, 0, 9, 9, 9, 0, 0], [0, 0, 0, 0, 0, 9, 9, 9, 0, 0], [0, 8, 8, 8, 0, 0, 0, 0, 0, 0], [0, 8, 8, 8, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 5, 5, 5, 0], [0, 0, 0, 0, 0, 0, 5, 5, 5, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[5, 0], [9, 0], [8, 8]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 8, 0, 0, 0, 9, 9, 0], [0, 0, 8, 8, 0, 0, 0, 9, 9, 0], [0, 0, 0, 0, 0, 0, 0, 9, 9, 0], [0, 0, 0, 9, 9, 9, 0, 0, 0, 0], [0, 0, 0, 9, 9, 9, 0, 0, 0, 0], [0, 0, 0, 9, 9, 9, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[8, 0], [9, 9]]\n",
+            "Replicate 2": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 8, 8, 0, 0], [0, 0, 0, 0, 0, 0, 8, 8, 0, 0], [0, 9, 9, 0, 0, 0, 8, 8, 0, 0], [0, 9, 9, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 9, 9, 0, 0], [0, 0, 0, 9, 9, 0, 9, 9, 0, 0], [0, 0, 0, 9, 9, 0, 9, 9, 0, 0], [0, 0, 0, 9, 9, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[8, 0, 0], [9, 9, 9]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 9, 9, 0, 8, 8, 8, 0, 0], [0, 0, 9, 9, 0, 8, 8, 8, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 9, 9, 9, 0, 0, 0, 0, 0], [0, 0, 9, 9, 9, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 5, 5, 0, 0], [0, 0, 0, 0, 0, 0, 5, 5, 0, 0], [0, 0, 0, 0, 0, 0, 5, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[5, 0], [8, 0], [9, 9]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 9, 9, 9, 0, 0, 0, 0, 0], [0, 0, 9, 9, 9, 0, 0, 0, 0, 0], [0, 0, 9, 9, 9, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 9, 9, 0], [0, 0, 0, 0, 0, 0, 0, 9, 9, 0], [0, 0, 0, 0, 0, 0, 0, 9, 9, 0], [0, 0, 0, 8, 8, 8, 0, 0, 0, 0], [0, 0, 0, 8, 8, 8, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[8, 0], [9, 9]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 8, 8, 0, 0, 0, 0, 0, 0], [0, 8, 8, 8, 0, 8, 8, 8, 0, 0], [0, 8, 8, 8, 0, 8, 8, 8, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 5, 5, 0, 9, 9, 9, 0, 0, 0], [0, 5, 5, 0, 9, 9, 9, 0, 0, 0], [0, 5, 5, 0, 9, 9, 9, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[5, 0], [9, 0], [8, 8]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 8, 0, 0, 8, 8, 0], [0, 0, 0, 8, 8, 0, 0, 8, 8, 0], [0, 0, 0, 0, 0, 0, 0, 8, 8, 0], [0, 0, 8, 8, 8, 0, 0, 0, 0, 0], [0, 0, 8, 8, 8, 0, 0, 9, 9, 0], [0, 0, 8, 8, 8, 0, 0, 9, 9, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[9, 0, 0], [8, 8, 8]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 8, 8, 0, 0, 0, 0, 0], [0, 0, 8, 8, 8, 0, 0, 0, 0, 0], [0, 0, 8, 8, 8, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 9, 9, 0], [0, 0, 0, 8, 8, 8, 0, 9, 9, 0], [0, 0, 0, 8, 8, 8, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[9, 0], [8, 8]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 8, 8, 0, 0, 0, 0, 0], [0, 0, 8, 8, 8, 0, 0, 0, 0, 0], [0, 0, 8, 8, 8, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 9, 9, 0], [0, 0, 0, 8, 8, 8, 0, 9, 9, 0], [0, 0, 0, 8, 8, 8, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[9, 0], [8, 8]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 9, 9, 9, 0, 9, 9, 0], [0, 0, 0, 9, 9, 9, 0, 9, 9, 0], [0, 0, 0, 9, 9, 9, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 9, 9, 0], [0, 0, 0, 0, 8, 8, 0, 9, 9, 0], [0, 0, 0, 0, 8, 8, 0, 9, 9, 0], [0, 0, 0, 0, 8, 8, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[8, 0, 0], [9, 9, 9]]\n",
+            "Replicate 3": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 8, 8, 0, 0], [0, 0, 0, 0, 0, 0, 8, 8, 0, 0], [0, 9, 9, 0, 0, 0, 8, 8, 0, 0], [0, 9, 9, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 9, 9, 0, 0], [0, 0, 0, 9, 9, 0, 9, 9, 0, 0], [0, 0, 0, 9, 9, 0, 9, 9, 0, 0], [0, 0, 0, 9, 9, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[8, 0, 0], [9, 9, 9]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 9, 9, 0, 0], [0, 0, 8, 8, 0, 0, 9, 9, 0, 0], [0, 0, 8, 8, 0, 0, 9, 9, 0, 0], [0, 0, 8, 8, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 9, 9, 0, 0, 9, 9, 0, 0], [0, 0, 9, 9, 0, 0, 9, 9, 0, 0], [0, 0, 0, 0, 0, 0, 9, 9, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[8, 0, 0], [9, 9, 9]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 9, 9, 0, 0], [0, 0, 8, 8, 0, 0, 9, 9, 0, 0], [0, 0, 8, 8, 0, 0, 9, 9, 0, 0], [0, 0, 8, 8, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 9, 9, 0, 0, 9, 9, 0, 0], [0, 0, 9, 9, 0, 0, 9, 9, 0, 0], [0, 0, 0, 0, 0, 0, 9, 9, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[8, 0, 0], [9, 9, 9]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 8, 0, 9, 9, 9, 0, 0, 0], [0, 8, 8, 0, 9, 9, 9, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 8, 0, 0, 0, 0, 0, 0, 0], [0, 8, 8, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 9, 9, 9, 0, 0, 0], [0, 9, 9, 0, 9, 9, 9, 0, 0, 0], [0, 9, 9, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[8, 8, 0], [9, 9, 9]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 8, 0, 8, 8, 8, 0, 0], [0, 0, 8, 8, 0, 8, 8, 8, 0, 0], [0, 0, 0, 0, 0, 8, 8, 8, 0, 0], [0, 0, 9, 9, 0, 0, 0, 0, 0, 0], [0, 0, 9, 9, 0, 0, 0, 0, 0, 0], [0, 0, 9, 9, 0, 0, 9, 9, 9, 0], [0, 0, 0, 0, 0, 0, 9, 9, 9, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[8, 8], [9, 9]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 8, 0, 0, 0, 9, 9, 0], [0, 0, 8, 8, 0, 0, 0, 9, 9, 0], [0, 0, 0, 0, 0, 0, 0, 9, 9, 0], [0, 0, 0, 9, 9, 9, 0, 0, 0, 0], [0, 0, 0, 9, 9, 9, 0, 0, 0, 0], [0, 0, 0, 9, 9, 9, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[8, 0], [9, 9]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 8, 0, 0, 0, 0, 0, 0, 0], [0, 8, 8, 0, 0, 9, 9, 9, 0, 0], [0, 8, 8, 0, 0, 9, 9, 9, 0, 0], [0, 0, 0, 0, 0, 9, 9, 9, 0, 0], [0, 8, 8, 8, 0, 0, 0, 0, 0, 0], [0, 8, 8, 8, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 5, 5, 5, 0], [0, 0, 0, 0, 0, 0, 5, 5, 5, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[5, 0], [9, 0], [8, 8]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 8, 8, 0], [0, 0, 0, 0, 0, 0, 0, 8, 8, 0], [0, 0, 9, 9, 9, 0, 0, 0, 0, 0], [0, 0, 9, 9, 9, 0, 0, 9, 9, 0], [0, 0, 0, 0, 0, 0, 0, 9, 9, 0], [0, 0, 9, 9, 0, 0, 0, 9, 9, 0], [0, 0, 9, 9, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[8, 0, 0], [9, 9, 9]]\n",
+            "Replicate 4": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 9, 9, 0, 0], [0, 0, 8, 8, 0, 0, 9, 9, 0, 0], [0, 0, 8, 8, 0, 0, 9, 9, 0, 0], [0, 0, 8, 8, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 9, 9, 0, 0, 9, 9, 0, 0], [0, 0, 9, 9, 0, 0, 9, 9, 0, 0], [0, 0, 0, 0, 0, 0, 9, 9, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[8, 0, 0], [9, 9, 9]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 9, 9, 9, 0, 9, 9, 0], [0, 0, 0, 9, 9, 9, 0, 9, 9, 0], [0, 0, 0, 9, 9, 9, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 9, 9, 0], [0, 0, 0, 0, 8, 8, 0, 9, 9, 0], [0, 0, 0, 0, 8, 8, 0, 9, 9, 0], [0, 0, 0, 0, 8, 8, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[8, 0, 0], [9, 9, 9]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 8, 0, 0, 0, 0, 0, 0, 0], [0, 8, 8, 0, 9, 9, 9, 0, 0, 0], [0, 0, 0, 0, 9, 9, 9, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 5, 5, 0, 8, 8, 0, 8, 8, 0], [0, 5, 5, 0, 8, 8, 0, 8, 8, 0], [0, 5, 5, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[5, 0, 0], [9, 0, 0], [8, 8, 8]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 8, 8, 0, 0, 9, 9, 9, 0], [0, 8, 8, 8, 0, 0, 9, 9, 9, 0], [0, 0, 0, 0, 0, 0, 9, 9, 9, 0], [0, 0, 9, 9, 9, 0, 0, 0, 0, 0], [0, 0, 9, 9, 9, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 8, 8, 8, 0], [0, 0, 0, 5, 5, 0, 8, 8, 8, 0], [0, 0, 0, 5, 5, 0, 8, 8, 8, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[5, 0], [8, 8], [9, 9]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 8, 8, 0, 0], [0, 0, 0, 0, 0, 0, 8, 8, 0, 0], [0, 9, 9, 0, 0, 0, 8, 8, 0, 0], [0, 9, 9, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 9, 9, 0, 0], [0, 0, 0, 9, 9, 0, 9, 9, 0, 0], [0, 0, 0, 9, 9, 0, 9, 9, 0, 0], [0, 0, 0, 9, 9, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[8, 0, 0], [9, 9, 9]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 8, 8, 0, 0, 0, 0, 0], [0, 0, 8, 8, 8, 0, 0, 0, 0, 0], [0, 0, 8, 8, 8, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 9, 9, 0], [0, 0, 0, 8, 8, 8, 0, 9, 9, 0], [0, 0, 0, 8, 8, 8, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[9, 0], [8, 8]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 8, 8, 0, 0, 0, 0, 0, 0], [0, 8, 8, 8, 0, 8, 8, 8, 0, 0], [0, 8, 8, 8, 0, 8, 8, 8, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 5, 5, 0, 9, 9, 9, 0, 0, 0], [0, 5, 5, 0, 9, 9, 9, 0, 0, 0], [0, 5, 5, 0, 9, 9, 9, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[5, 0], [9, 0], [8, 8]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 8, 8, 0, 0, 0, 0, 0, 0], [0, 8, 8, 8, 0, 8, 8, 8, 0, 0], [0, 8, 8, 8, 0, 8, 8, 8, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 5, 5, 0, 9, 9, 9, 0, 0, 0], [0, 5, 5, 0, 9, 9, 9, 0, 0, 0], [0, 5, 5, 0, 9, 9, 9, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[5, 0], [9, 0], [8, 8]]\n"
+        },
+        "L3": {
+            "Replicate 0": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 9, 9, 9, 0, 0, 0, 0, 0], [0, 0, 9, 9, 9, 0, 0, 0, 0, 0], [0, 0, 9, 9, 9, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 9, 9, 0], [0, 0, 0, 0, 0, 0, 0, 9, 9, 0], [0, 0, 0, 0, 0, 0, 0, 9, 9, 0], [0, 0, 0, 8, 8, 8, 0, 0, 0, 0], [0, 0, 0, 8, 8, 8, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[8, 0], [9, 9]]\nCounterfactual: Now imagine that we intervened on the previous input by rotating or flipping it.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 8, 8, 0], [0, 0, 9, 9, 9, 0, 0, 8, 8, 0], [0, 0, 9, 9, 9, 0, 0, 8, 8, 0], [0, 0, 9, 9, 9, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 8, 8, 8, 0], [0, 0, 0, 0, 0, 0, 8, 8, 8, 0], [0, 5, 5, 5, 0, 0, 0, 0, 0, 0], [0, 5, 5, 5, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[5, 0], [9, 0], [8, 8]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 8, 8, 0], [0, 0, 0, 0, 0, 0, 0, 8, 8, 0], [0, 0, 9, 9, 9, 0, 0, 0, 0, 0], [0, 0, 9, 9, 9, 0, 0, 9, 9, 0], [0, 0, 0, 0, 0, 0, 0, 9, 9, 0], [0, 0, 9, 9, 0, 0, 0, 9, 9, 0], [0, 0, 9, 9, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[8, 0, 0], [9, 9, 9]]\nCounterfactual: Now imagine that we intervened on the previous input by rotating or flipping it.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 8, 0, 0, 0, 5, 5, 5, 0], [0, 8, 8, 0, 0, 0, 5, 5, 5, 0], [0, 8, 8, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 9, 9, 0, 0, 0, 0], [0, 9, 9, 0, 9, 9, 0, 0, 0, 0], [0, 9, 9, 0, 9, 9, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[5, 0], [8, 0], [9, 9]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 8, 8, 0, 0, 0, 0, 0, 0], [0, 8, 8, 8, 0, 8, 8, 8, 0, 0], [0, 8, 8, 8, 0, 8, 8, 8, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 5, 5, 0, 9, 9, 9, 0, 0, 0], [0, 5, 5, 0, 9, 9, 9, 0, 0, 0], [0, 5, 5, 0, 9, 9, 9, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[5, 0], [9, 0], [8, 8]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 8, 8, 0, 0, 9, 9, 9, 0], [0, 8, 8, 8, 0, 0, 9, 9, 9, 0], [0, 0, 0, 0, 0, 0, 9, 9, 9, 0], [0, 0, 9, 9, 9, 0, 0, 0, 0, 0], [0, 0, 9, 9, 9, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 8, 8, 8, 0], [0, 0, 0, 5, 5, 0, 8, 8, 8, 0], [0, 0, 0, 5, 5, 0, 8, 8, 8, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[5, 0], [8, 8], [9, 9]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 9, 9, 0, 8, 8, 8, 0, 0], [0, 0, 9, 9, 0, 8, 8, 8, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 9, 9, 9, 0, 0, 0, 0, 0], [0, 0, 9, 9, 9, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 5, 5, 0, 0], [0, 0, 0, 0, 0, 0, 5, 5, 0, 0], [0, 0, 0, 0, 0, 0, 5, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[5, 0], [8, 0], [9, 9]]\nCounterfactual: Now imagine that we intervened on the previous input by rotating or flipping it.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 8, 8, 0, 0, 0, 0], [0, 0, 0, 8, 8, 8, 0, 9, 9, 0], [0, 0, 0, 0, 0, 0, 0, 9, 9, 0], [0, 0, 8, 8, 8, 0, 0, 0, 0, 0], [0, 0, 8, 8, 8, 0, 0, 0, 0, 0], [0, 0, 8, 8, 8, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[9, 0], [8, 8]]\n",
+            "Replicate 1": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 8, 0, 9, 9, 9, 0, 0, 0], [0, 8, 8, 0, 9, 9, 9, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 8, 0, 0, 0, 0, 0, 0, 0], [0, 8, 8, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 9, 9, 9, 0, 0, 0], [0, 9, 9, 0, 9, 9, 9, 0, 0, 0], [0, 9, 9, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[8, 8, 0], [9, 9, 9]]\nCounterfactual: Now imagine that we intervened on the previous input by rotating or flipping it.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 8, 8, 0], [0, 0, 9, 9, 9, 0, 0, 8, 8, 0], [0, 0, 9, 9, 9, 0, 0, 8, 8, 0], [0, 0, 9, 9, 9, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 8, 8, 8, 0], [0, 0, 0, 0, 0, 0, 8, 8, 8, 0], [0, 5, 5, 5, 0, 0, 0, 0, 0, 0], [0, 5, 5, 5, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[5, 0], [9, 0], [8, 8]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 9, 9, 9, 0, 9, 9, 0], [0, 0, 0, 9, 9, 9, 0, 9, 9, 0], [0, 0, 0, 9, 9, 9, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 9, 9, 0], [0, 0, 0, 0, 8, 8, 0, 9, 9, 0], [0, 0, 0, 0, 8, 8, 0, 9, 9, 0], [0, 0, 0, 0, 8, 8, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[8, 0, 0], [9, 9, 9]]\nCounterfactual: Now imagine that we intervened on the previous input by rotating or flipping it.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 5, 5, 0, 0], [0, 0, 0, 0, 0, 0, 5, 5, 0, 0], [0, 0, 0, 0, 0, 0, 5, 5, 0, 0], [0, 0, 9, 9, 9, 0, 0, 0, 0, 0], [0, 0, 9, 9, 9, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 9, 9, 0, 8, 8, 8, 0, 0], [0, 0, 9, 9, 0, 8, 8, 8, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[5, 0], [8, 0], [9, 9]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 9, 9, 9, 0, 0, 0, 0, 0], [0, 0, 9, 9, 9, 0, 0, 0, 0, 0], [0, 0, 9, 9, 9, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 9, 9, 0], [0, 0, 0, 0, 0, 0, 0, 9, 9, 0], [0, 0, 0, 0, 0, 0, 0, 9, 9, 0], [0, 0, 0, 8, 8, 8, 0, 0, 0, 0], [0, 0, 0, 8, 8, 8, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[8, 0], [9, 9]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 8, 8, 0, 0, 9, 9, 9, 0], [0, 8, 8, 8, 0, 0, 9, 9, 9, 0], [0, 0, 0, 0, 0, 0, 9, 9, 9, 0], [0, 0, 9, 9, 9, 0, 0, 0, 0, 0], [0, 0, 9, 9, 9, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 8, 8, 8, 0], [0, 0, 0, 0, 0, 0, 8, 8, 8, 0], [0, 0, 0, 0, 0, 0, 8, 8, 8, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0], [8, 8], [9, 9]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 8, 0, 8, 8, 8, 0, 0], [0, 0, 8, 8, 0, 8, 8, 8, 0, 0], [0, 0, 0, 0, 0, 8, 8, 8, 0, 0], [0, 0, 9, 9, 0, 0, 0, 0, 0, 0], [0, 0, 9, 9, 0, 0, 0, 0, 0, 0], [0, 0, 9, 9, 0, 0, 9, 9, 9, 0], [0, 0, 0, 0, 0, 0, 9, 9, 9, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[8, 8], [9, 9]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 8, 8, 0, 0, 0, 0, 0], [0, 0, 8, 8, 8, 0, 0, 0, 0, 0], [0, 0, 8, 8, 8, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 8, 8, 0, 0, 0, 0], [0, 0, 0, 8, 8, 8, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0], [8, 8]]\n",
+            "Replicate 2": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 8, 8, 0, 0, 0, 0, 0, 0], [0, 8, 8, 8, 0, 8, 8, 8, 0, 0], [0, 8, 8, 8, 0, 8, 8, 8, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 5, 5, 0, 9, 9, 9, 0, 0, 0], [0, 5, 5, 0, 9, 9, 9, 0, 0, 0], [0, 5, 5, 0, 9, 9, 9, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[5, 0], [9, 0], [8, 8]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 8, 0, 0, 0, 0, 0, 0, 0], [0, 8, 8, 0, 0, 9, 9, 9, 0, 0], [0, 8, 8, 0, 0, 9, 9, 9, 0, 0], [0, 0, 0, 0, 0, 9, 9, 9, 0, 0], [0, 8, 8, 8, 0, 0, 0, 0, 0, 0], [0, 8, 8, 8, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0], [9, 0], [8, 8]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 8, 8, 0], [0, 0, 0, 0, 0, 0, 0, 8, 8, 0], [0, 0, 9, 9, 9, 0, 0, 0, 0, 0], [0, 0, 9, 9, 9, 0, 0, 9, 9, 0], [0, 0, 0, 0, 0, 0, 0, 9, 9, 0], [0, 0, 9, 9, 0, 0, 0, 9, 9, 0], [0, 0, 9, 9, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[8, 0, 0], [9, 9, 9]]\nCounterfactual: Now imagine that we intervened on the previous input by rotating or flipping it.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 8, 8, 0, 9, 9, 0, 0], [0, 0, 8, 8, 8, 0, 9, 9, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 9, 9, 9, 0, 0], [0, 0, 0, 0, 0, 9, 9, 9, 0, 0], [0, 0, 5, 5, 0, 0, 0, 0, 0, 0], [0, 0, 5, 5, 0, 0, 0, 0, 0, 0], [0, 0, 5, 5, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[5, 0], [8, 0], [9, 9]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 8, 8, 0, 0, 0, 0, 0, 0], [0, 8, 8, 8, 0, 8, 8, 8, 0, 0], [0, 8, 8, 8, 0, 8, 8, 8, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 5, 5, 0, 9, 9, 9, 0, 0, 0], [0, 5, 5, 0, 9, 9, 9, 0, 0, 0], [0, 5, 5, 0, 9, 9, 9, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[5, 0], [9, 0], [8, 8]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 9, 9, 9, 0], [0, 0, 0, 0, 0, 0, 9, 9, 9, 0], [0, 0, 0, 0, 0, 0, 9, 9, 9, 0], [0, 0, 9, 9, 9, 0, 0, 0, 0, 0], [0, 0, 9, 9, 9, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 5, 0, 0, 0, 0, 0], [0, 0, 0, 5, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[5, 0], [0, 0], [9, 9]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 8, 0, 9, 9, 9, 0, 0, 0], [0, 8, 8, 0, 9, 9, 9, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 8, 0, 0, 0, 0, 0, 0, 0], [0, 8, 8, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 9, 9, 9, 0, 0, 0], [0, 9, 9, 0, 9, 9, 9, 0, 0, 0], [0, 9, 9, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[8, 8, 0], [9, 9, 9]]\nCounterfactual: Now imagine that we intervened on the previous input by rotating or flipping it.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 9, 9, 0, 0, 0, 0], [0, 0, 0, 0, 9, 9, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 8, 8, 0, 0, 0], [0, 8, 8, 8, 0, 8, 8, 0, 0, 0], [0, 8, 8, 8, 0, 8, 8, 0, 0, 0], [0, 8, 8, 8, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[9, 0], [8, 8]]\n",
+            "Replicate 3": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 8, 8, 0, 0, 0, 0, 0], [0, 0, 8, 8, 8, 0, 0, 0, 0, 0], [0, 0, 8, 8, 8, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 9, 9, 0], [0, 0, 0, 8, 8, 8, 0, 9, 9, 0], [0, 0, 0, 8, 8, 8, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[9, 0], [8, 8]]\nCounterfactual: Now imagine that we intervened on the previous input by rotating or flipping it.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 8, 8, 0], [0, 0, 9, 9, 9, 0, 0, 8, 8, 0], [0, 0, 9, 9, 9, 0, 0, 8, 8, 0], [0, 0, 9, 9, 9, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 8, 8, 8, 0], [0, 0, 0, 0, 0, 0, 8, 8, 8, 0], [0, 5, 5, 5, 0, 0, 0, 0, 0, 0], [0, 5, 5, 5, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[5, 0], [9, 0], [8, 8]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 9, 9, 9, 0, 9, 9, 0], [0, 0, 0, 9, 9, 9, 0, 9, 9, 0], [0, 0, 0, 9, 9, 9, 0, 9, 9, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 9, 9, 9, 0, 8, 8, 8, 0, 0], [0, 9, 9, 9, 0, 8, 8, 8, 0, 0], [0, 0, 0, 0, 0, 8, 8, 8, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[8, 0, 0], [9, 9, 9]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 9, 9, 0, 0, 0, 0, 0, 0], [0, 0, 9, 9, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 9, 9, 9, 0, 0, 0, 0, 0], [0, 0, 9, 9, 9, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 5, 5, 0, 0], [0, 0, 0, 0, 0, 0, 5, 5, 0, 0], [0, 0, 0, 0, 0, 0, 5, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[5, 0], [0, 0], [9, 9]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 8, 0, 8, 8, 8, 0, 0], [0, 0, 8, 8, 0, 8, 8, 8, 0, 0], [0, 0, 0, 0, 0, 8, 8, 8, 0, 0], [0, 0, 9, 9, 0, 0, 0, 0, 0, 0], [0, 0, 9, 9, 0, 0, 0, 0, 0, 0], [0, 0, 9, 9, 0, 0, 9, 9, 9, 0], [0, 0, 0, 0, 0, 0, 9, 9, 9, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[8, 8], [9, 9]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 8, 8, 0, 0, 9, 9, 9, 0], [0, 8, 8, 8, 0, 0, 9, 9, 9, 0], [0, 0, 0, 0, 0, 0, 9, 9, 9, 0], [0, 0, 9, 9, 9, 0, 0, 0, 0, 0], [0, 0, 9, 9, 9, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 8, 8, 8, 0], [0, 0, 0, 0, 0, 0, 8, 8, 8, 0], [0, 0, 0, 0, 0, 0, 8, 8, 8, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0], [8, 8], [9, 9]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 8, 0, 0, 8, 8, 0], [0, 0, 0, 8, 8, 0, 0, 8, 8, 0], [0, 0, 0, 0, 0, 0, 0, 8, 8, 0], [0, 0, 8, 8, 8, 0, 0, 0, 0, 0], [0, 0, 8, 8, 8, 0, 0, 9, 9, 0], [0, 0, 8, 8, 8, 0, 0, 9, 9, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[9, 0, 0], [8, 8, 8]]\nCounterfactual: Now imagine that we intervened on the previous input by rotating or flipping it.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 9, 9, 0, 0, 0, 0], [0, 0, 0, 0, 9, 9, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 8, 8, 0, 0, 0], [0, 8, 8, 8, 0, 8, 8, 0, 0, 0], [0, 8, 8, 8, 0, 8, 8, 0, 0, 0], [0, 8, 8, 8, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[9, 0], [8, 8]]\n",
+            "Replicate 4": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 8, 0, 8, 8, 8, 0, 0], [0, 0, 8, 8, 0, 8, 8, 8, 0, 0], [0, 0, 0, 0, 0, 8, 8, 8, 0, 0], [0, 0, 9, 9, 0, 0, 0, 0, 0, 0], [0, 0, 9, 9, 0, 0, 0, 0, 0, 0], [0, 0, 9, 9, 0, 0, 9, 9, 9, 0], [0, 0, 0, 0, 0, 0, 9, 9, 9, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[8, 8], [9, 9]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 8, 0, 0, 0, 0, 0, 0, 0], [0, 8, 8, 0, 0, 9, 9, 9, 0, 0], [0, 8, 8, 0, 0, 9, 9, 9, 0, 0], [0, 0, 0, 0, 0, 9, 9, 9, 0, 0], [0, 8, 8, 8, 0, 0, 0, 0, 0, 0], [0, 8, 8, 8, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 5, 5, 5, 0], [0, 0, 0, 0, 0, 0, 5, 5, 5, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[5, 0], [9, 0], [8, 8]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 8, 0, 8, 8, 8, 0, 0], [0, 0, 8, 8, 0, 8, 8, 8, 0, 0], [0, 0, 0, 0, 0, 8, 8, 8, 0, 0], [0, 0, 9, 9, 0, 0, 0, 0, 0, 0], [0, 0, 9, 9, 0, 0, 0, 0, 0, 0], [0, 0, 9, 9, 0, 0, 9, 9, 9, 0], [0, 0, 0, 0, 0, 0, 9, 9, 9, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[8, 8], [9, 9]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 9, 9, 0, 0, 0, 0, 0, 0], [0, 0, 9, 9, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 9, 9, 9, 0, 0, 0, 0, 0], [0, 0, 9, 9, 9, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 5, 5, 0, 0], [0, 0, 0, 0, 0, 0, 5, 5, 0, 0], [0, 0, 0, 0, 0, 0, 5, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[5, 0], [0, 0], [9, 9]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 9, 9, 0, 8, 8, 8, 0, 0], [0, 0, 9, 9, 0, 8, 8, 8, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 9, 9, 9, 0, 0, 0, 0, 0], [0, 0, 9, 9, 9, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 5, 5, 0, 0], [0, 0, 0, 0, 0, 0, 5, 5, 0, 0], [0, 0, 0, 0, 0, 0, 5, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[5, 0], [8, 0], [9, 9]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 8, 8, 0, 0, 0, 0, 0, 0], [0, 8, 8, 8, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 8, 8, 8, 0], [0, 0, 0, 5, 5, 0, 8, 8, 8, 0], [0, 0, 0, 5, 5, 0, 8, 8, 8, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[5, 0], [8, 8], [0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 8, 0, 0, 0, 9, 9, 0], [0, 0, 8, 8, 0, 0, 0, 9, 9, 0], [0, 0, 0, 0, 0, 0, 0, 9, 9, 0], [0, 0, 0, 9, 9, 9, 0, 0, 0, 0], [0, 0, 0, 9, 9, 9, 0, 0, 0, 0], [0, 0, 0, 9, 9, 9, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[8, 0], [9, 9]]\nCounterfactual: Now imagine that we intervened on the previous input by rotating or flipping it.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 9, 9, 0, 0, 0, 0], [0, 0, 0, 0, 9, 9, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 8, 8, 0, 0, 0], [0, 8, 8, 8, 0, 8, 8, 0, 0, 0], [0, 8, 8, 8, 0, 8, 8, 0, 0, 0], [0, 8, 8, 8, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[9, 0], [8, 8]]\n"
+        }
+    },
+    "SCMfwpq": {
+        "L1": {
+            "Replicate 0": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[7, 6, 6, 0, 0, 0, 6, 6], [0, 0, 6, 0, 0, 6, 6, 0], [0, 0, 6, 0, 0, 6, 0, 0], [7, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 6, 0, 0, 0, 6], [0, 0, 0, 0, 6, 0, 0, 0], [7, 0, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0]] -> [[7, 4, 4, 7, 7, 7, 4, 4], [0, 0, 6, 0, 0, 6, 6, 0], [0, 0, 6, 0, 0, 6, 0, 0], [7, 7, 7, 7, 7, 4, 7, 7], [0, 0, 0, 6, 0, 0, 0, 6], [0, 0, 0, 0, 6, 0, 0, 0], [7, 7, 4, 7, 7, 7, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[7, 0, 0, 0, 0, 0, 6, 0], [6, 0, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 6], [7, 0, 0, 6, 6, 0, 0, 6], [6, 0, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0]] -> [[7, 7, 7, 7, 7, 7, 4, 7], [6, 0, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 6], [7, 7, 7, 4, 4, 7, 7, 4], [6, 0, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0]]\nExample input-output arrays:\n[[7, 0, 0, 0, 0, 0, 0, 6], [6, 6, 0, 0, 0, 0, 0, 6], [0, 0, 0, 0, 6, 0, 0, 0], [0, 6, 6, 6, 0, 0, 0, 6], [7, 0, 0, 6, 0, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 6, 0, 0, 0], [0, 0, 0, 0, 0, 6, 0, 0]] -> [[7, 7, 7, 7, 7, 7, 7, 4], [6, 6, 0, 0, 0, 0, 0, 6], [0, 0, 0, 0, 6, 0, 0, 0], [0, 6, 6, 6, 0, 0, 0, 6], [7, 7, 7, 4, 7, 7, 7, 7], [0, 6, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 6, 0, 0, 0], [0, 0, 0, 0, 0, 6, 0, 0]]\nExample input-output arrays:\n[[7, 0, 0, 0, 0, 0, 0, 6], [6, 6, 0, 0, 0, 0, 0, 6], [0, 0, 0, 0, 6, 0, 0, 0], [0, 6, 6, 6, 0, 0, 0, 6], [7, 0, 0, 6, 0, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 6, 0, 0, 0], [0, 0, 0, 0, 0, 6, 0, 0]] -> [[7, 7, 7, 7, 7, 7, 7, 4], [6, 6, 0, 0, 0, 0, 0, 6], [0, 0, 0, 0, 6, 0, 0, 0], [0, 6, 6, 6, 0, 0, 0, 6], [7, 7, 7, 4, 7, 7, 7, 7], [0, 6, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 6, 0, 0, 0], [0, 0, 0, 0, 0, 6, 0, 0]]\nExample input-output arrays:\n[[7, 6, 6, 0, 0, 0, 6, 6], [0, 0, 6, 0, 0, 6, 6, 0], [0, 0, 6, 0, 0, 6, 0, 0], [7, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 6, 0, 0, 0, 6], [0, 0, 0, 0, 6, 0, 0, 0], [7, 0, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0]] -> [[7, 4, 4, 7, 7, 7, 4, 4], [0, 0, 6, 0, 0, 6, 6, 0], [0, 0, 6, 0, 0, 6, 0, 0], [7, 7, 7, 7, 7, 4, 7, 7], [0, 0, 0, 6, 0, 0, 0, 6], [0, 0, 0, 0, 6, 0, 0, 0], [7, 7, 4, 7, 7, 7, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[7, 6, 6, 0, 0, 0, 6, 6], [0, 0, 6, 0, 0, 6, 6, 0], [0, 0, 6, 0, 0, 6, 0, 0], [7, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 6, 0, 0, 0, 6], [0, 0, 0, 0, 6, 0, 0, 0], [7, 0, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0]] -> [[7, 4, 4, 7, 7, 7, 4, 4], [0, 0, 6, 0, 0, 6, 6, 0], [0, 0, 6, 0, 0, 6, 0, 0], [7, 7, 7, 7, 7, 4, 7, 7], [0, 0, 0, 6, 0, 0, 0, 6], [0, 0, 0, 0, 6, 0, 0, 0], [7, 7, 4, 7, 7, 7, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[7, 6, 0, 6, 0, 6, 6, 0], [0, 0, 0, 0, 0, 6, 6, 0], [0, 0, 6, 6, 0, 0, 0, 6], [0, 0, 0, 6, 0, 0, 0, 6], [0, 0, 6, 0, 0, 0, 6, 0], [7, 0, 0, 0, 0, 0, 6, 0], [0, 6, 0, 0, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0]] -> [[7, 4, 7, 4, 7, 4, 4, 7], [0, 0, 0, 0, 0, 6, 6, 0], [0, 0, 6, 6, 0, 0, 0, 6], [0, 0, 0, 6, 0, 0, 0, 6], [0, 0, 6, 0, 0, 0, 6, 0], [7, 7, 7, 7, 7, 7, 4, 7], [0, 6, 0, 0, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[7, 6, 0, 0, 0, 6, 6, 0], [0, 6, 0, 0, 0, 0, 0, 0], [0, 6, 6, 0, 6, 0, 0, 6], [6, 6, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0], [7, 6, 0, 6, 6, 0, 0, 0], [0, 0, 0, 6, 6, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0]] -> [[7, 4, 7, 7, 7, 4, 4, 7], [0, 6, 0, 0, 0, 0, 0, 0], [0, 6, 6, 0, 6, 0, 0, 6], [6, 6, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0], [7, 4, 7, 4, 4, 7, 7, 7], [0, 0, 0, 6, 6, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0]]\n",
+            "Replicate 1": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[7, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 6, 0, 6], [7, 0, 6, 0, 6, 0, 6, 0], [6, 0, 0, 0, 0, 6, 6, 0], [6, 6, 6, 0, 0, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0]] -> [[7, 7, 7, 4, 7, 7, 7, 7], [0, 0, 0, 6, 0, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 6, 0, 6], [7, 7, 4, 7, 4, 7, 4, 7], [6, 0, 0, 0, 0, 6, 6, 0], [6, 6, 6, 0, 0, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[7, 6, 6, 0, 0, 0, 6, 6], [0, 0, 6, 0, 0, 6, 6, 0], [0, 0, 6, 0, 0, 6, 0, 0], [7, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 6, 0, 0, 0, 6], [0, 0, 0, 0, 6, 0, 0, 0], [7, 0, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0]] -> [[7, 4, 4, 7, 7, 7, 4, 4], [0, 0, 6, 0, 0, 6, 6, 0], [0, 0, 6, 0, 0, 6, 0, 0], [7, 7, 7, 7, 7, 4, 7, 7], [0, 0, 0, 6, 0, 0, 0, 6], [0, 0, 0, 0, 6, 0, 0, 0], [7, 7, 4, 7, 7, 7, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[7, 0, 0, 0, 0, 0, 6, 0], [6, 0, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 6], [7, 0, 0, 6, 6, 0, 0, 6], [6, 0, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0]] -> [[7, 7, 7, 7, 7, 7, 4, 7], [6, 0, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 6], [7, 7, 7, 4, 4, 7, 7, 4], [6, 0, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0]]\nExample input-output arrays:\n[[7, 6, 0, 6, 0, 6, 6, 0], [0, 0, 0, 0, 0, 6, 6, 0], [0, 0, 6, 6, 0, 0, 0, 6], [0, 0, 0, 6, 0, 0, 0, 6], [0, 0, 6, 0, 0, 0, 6, 0], [7, 0, 0, 0, 0, 0, 6, 0], [0, 6, 0, 0, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0]] -> [[7, 4, 7, 4, 7, 4, 4, 7], [0, 0, 0, 0, 0, 6, 6, 0], [0, 0, 6, 6, 0, 0, 0, 6], [0, 0, 0, 6, 0, 0, 0, 6], [0, 0, 6, 0, 0, 0, 6, 0], [7, 7, 7, 7, 7, 7, 4, 7], [0, 6, 0, 0, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[7, 0, 0, 0, 6, 0, 0, 0], [0, 0, 6, 0, 0, 0, 6, 0], [0, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 6, 0, 0, 6, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0], [6, 6, 0, 0, 0, 0, 0, 6]] -> [[7, 7, 7, 7, 4, 7, 7, 7], [0, 0, 6, 0, 0, 0, 6, 0], [0, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 4, 7, 7, 4, 7, 7, 7], [0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0], [6, 6, 0, 0, 0, 0, 0, 6]]\nExample input-output arrays:\n[[7, 6, 0, 0, 0, 6, 6, 0], [0, 6, 0, 0, 0, 0, 0, 0], [0, 6, 6, 0, 6, 0, 0, 6], [6, 6, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0], [7, 6, 0, 6, 6, 0, 0, 0], [0, 0, 0, 6, 6, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0]] -> [[7, 4, 7, 7, 7, 4, 4, 7], [0, 6, 0, 0, 0, 0, 0, 0], [0, 6, 6, 0, 6, 0, 0, 6], [6, 6, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0], [7, 4, 7, 4, 4, 7, 7, 7], [0, 0, 0, 6, 6, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0]]\nExample input-output arrays:\n[[7, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 6, 0, 6], [7, 0, 6, 0, 6, 0, 6, 0], [6, 0, 0, 0, 0, 6, 6, 0], [6, 6, 6, 0, 0, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0]] -> [[7, 7, 7, 4, 7, 7, 7, 7], [0, 0, 0, 6, 0, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 6, 0, 6], [7, 7, 4, 7, 4, 7, 4, 7], [6, 0, 0, 0, 0, 6, 6, 0], [6, 6, 6, 0, 0, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[7, 0, 0, 0, 0, 0, 0, 6], [6, 6, 0, 0, 0, 0, 0, 6], [0, 0, 0, 0, 6, 0, 0, 0], [0, 6, 6, 6, 0, 0, 0, 6], [7, 0, 0, 6, 0, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 6, 0, 0, 0], [0, 0, 0, 0, 0, 6, 0, 0]] -> [[7, 7, 7, 7, 7, 7, 7, 4], [6, 6, 0, 0, 0, 0, 0, 6], [0, 0, 0, 0, 6, 0, 0, 0], [0, 6, 6, 6, 0, 0, 0, 6], [7, 7, 7, 4, 7, 7, 7, 7], [0, 6, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 6, 0, 0, 0], [0, 0, 0, 0, 0, 6, 0, 0]]\n",
+            "Replicate 2": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[7, 6, 6, 0, 0, 0, 6, 6], [0, 0, 6, 0, 0, 6, 6, 0], [0, 0, 6, 0, 0, 6, 0, 0], [7, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 6, 0, 0, 0, 6], [0, 0, 0, 0, 6, 0, 0, 0], [7, 0, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0]] -> [[7, 4, 4, 7, 7, 7, 4, 4], [0, 0, 6, 0, 0, 6, 6, 0], [0, 0, 6, 0, 0, 6, 0, 0], [7, 7, 7, 7, 7, 4, 7, 7], [0, 0, 0, 6, 0, 0, 0, 6], [0, 0, 0, 0, 6, 0, 0, 0], [7, 7, 4, 7, 7, 7, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[7, 6, 0, 0, 0, 6, 6, 0], [0, 6, 0, 0, 0, 0, 0, 0], [0, 6, 6, 0, 6, 0, 0, 6], [6, 6, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0], [7, 6, 0, 6, 6, 0, 0, 0], [0, 0, 0, 6, 6, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0]] -> [[7, 4, 7, 7, 7, 4, 4, 7], [0, 6, 0, 0, 0, 0, 0, 0], [0, 6, 6, 0, 6, 0, 0, 6], [6, 6, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0], [7, 4, 7, 4, 4, 7, 7, 7], [0, 0, 0, 6, 6, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0]]\nExample input-output arrays:\n[[7, 0, 0, 6, 6, 0, 0, 0], [6, 0, 6, 6, 0, 6, 0, 0], [0, 0, 0, 0, 6, 0, 0, 0], [6, 0, 0, 0, 0, 0, 6, 0], [7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 0, 0, 6, 0, 0], [0, 0, 6, 0, 0, 0, 0, 6], [6, 0, 0, 0, 0, 6, 6, 0]] -> [[7, 7, 7, 4, 4, 7, 7, 7], [6, 0, 6, 6, 0, 6, 0, 0], [0, 0, 0, 0, 6, 0, 0, 0], [6, 0, 0, 0, 0, 0, 6, 0], [7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 6, 0, 0, 6, 0, 0], [0, 0, 6, 0, 0, 0, 0, 6], [6, 0, 0, 0, 0, 6, 6, 0]]\nExample input-output arrays:\n[[7, 0, 0, 0, 6, 0, 0, 0], [6, 0, 0, 6, 0, 0, 0, 0], [6, 0, 0, 0, 6, 0, 6, 0], [7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 6, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 0], [7, 6, 6, 6, 0, 0, 0, 0], [0, 0, 6, 0, 0, 6, 0, 0]] -> [[7, 7, 7, 7, 4, 7, 7, 7], [6, 0, 0, 6, 0, 0, 0, 0], [6, 0, 0, 0, 6, 0, 6, 0], [7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 0, 0, 6, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 0], [7, 4, 4, 4, 7, 7, 7, 7], [0, 0, 6, 0, 0, 6, 0, 0]]\nExample input-output arrays:\n[[7, 6, 0, 6, 0, 6, 6, 0], [0, 0, 0, 0, 0, 6, 6, 0], [0, 0, 6, 6, 0, 0, 0, 6], [0, 0, 0, 6, 0, 0, 0, 6], [0, 0, 6, 0, 0, 0, 6, 0], [7, 0, 0, 0, 0, 0, 6, 0], [0, 6, 0, 0, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0]] -> [[7, 4, 7, 4, 7, 4, 4, 7], [0, 0, 0, 0, 0, 6, 6, 0], [0, 0, 6, 6, 0, 0, 0, 6], [0, 0, 0, 6, 0, 0, 0, 6], [0, 0, 6, 0, 0, 0, 6, 0], [7, 7, 7, 7, 7, 7, 4, 7], [0, 6, 0, 0, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[7, 0, 0, 6, 0, 0, 0, 0], [0, 0, 6, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 0, 6, 0, 0, 6, 6, 6], [0, 6, 0, 6, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 6, 0, 0, 0, 0]] -> [[7, 7, 7, 4, 7, 7, 7, 7], [0, 0, 6, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 7, 4, 7, 7, 4, 4, 4], [0, 6, 0, 6, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 6, 0, 0, 0, 0]]\nExample input-output arrays:\n[[7, 0, 0, 0, 0, 0, 0, 6], [6, 6, 0, 0, 0, 0, 0, 6], [0, 0, 0, 0, 6, 0, 0, 0], [0, 6, 6, 6, 0, 0, 0, 6], [7, 0, 0, 6, 0, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 6, 0, 0, 0], [0, 0, 0, 0, 0, 6, 0, 0]] -> [[7, 7, 7, 7, 7, 7, 7, 4], [6, 6, 0, 0, 0, 0, 0, 6], [0, 0, 0, 0, 6, 0, 0, 0], [0, 6, 6, 6, 0, 0, 0, 6], [7, 7, 7, 4, 7, 7, 7, 7], [0, 6, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 6, 0, 0, 0], [0, 0, 0, 0, 0, 6, 0, 0]]\nExample input-output arrays:\n[[7, 0, 0, 6, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 6], [7, 0, 6, 0, 0, 0, 0, 6], [6, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 6, 0, 6], [7, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0]] -> [[7, 7, 7, 4, 4, 7, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 6], [7, 7, 4, 7, 7, 7, 7, 4], [6, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 6, 0, 6], [7, 7, 7, 7, 7, 7, 7, 7], [6, 0, 0, 0, 0, 0, 0, 0]]\n",
+            "Replicate 3": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[7, 0, 0, 0, 0, 0, 6, 6], [0, 0, 0, 6, 0, 6, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0], [7, 0, 6, 6, 0, 0, 6, 0], [0, 6, 0, 0, 0, 6, 0, 6], [0, 6, 0, 0, 6, 0, 0, 0], [7, 6, 0, 0, 0, 0, 6, 0], [6, 0, 0, 0, 0, 0, 0, 6]] -> [[7, 7, 7, 7, 7, 7, 4, 4], [0, 0, 0, 6, 0, 6, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0], [7, 7, 4, 4, 7, 7, 4, 7], [0, 6, 0, 0, 0, 6, 0, 6], [0, 6, 0, 0, 6, 0, 0, 0], [7, 4, 7, 7, 7, 7, 4, 7], [6, 0, 0, 0, 0, 0, 0, 6]]\nExample input-output arrays:\n[[7, 0, 0, 0, 6, 0, 0, 0], [6, 0, 0, 6, 0, 0, 0, 0], [6, 0, 0, 0, 6, 0, 6, 0], [7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 6, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 0], [7, 6, 6, 6, 0, 0, 0, 0], [0, 0, 6, 0, 0, 6, 0, 0]] -> [[7, 7, 7, 7, 4, 7, 7, 7], [6, 0, 0, 6, 0, 0, 0, 0], [6, 0, 0, 0, 6, 0, 6, 0], [7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 0, 0, 6, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 0], [7, 4, 4, 4, 7, 7, 7, 7], [0, 0, 6, 0, 0, 6, 0, 0]]\nExample input-output arrays:\n[[7, 0, 0, 0, 0, 0, 6, 6], [0, 0, 0, 0, 0, 6, 0, 0], [6, 6, 0, 6, 0, 0, 6, 0], [0, 6, 0, 6, 0, 0, 0, 0], [0, 0, 6, 0, 0, 6, 6, 0], [7, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 6, 6, 0, 6]] -> [[7, 7, 7, 7, 7, 7, 4, 4], [0, 0, 0, 0, 0, 6, 0, 0], [6, 6, 0, 6, 0, 0, 6, 0], [0, 6, 0, 6, 0, 0, 0, 0], [0, 0, 6, 0, 0, 6, 6, 0], [7, 7, 7, 4, 7, 7, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 6, 6, 0, 6]]\nExample input-output arrays:\n[[7, 0, 0, 0, 0, 0, 6, 0], [6, 0, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 6], [7, 0, 0, 6, 6, 0, 0, 6], [6, 0, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0]] -> [[7, 7, 7, 7, 7, 7, 4, 7], [6, 0, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 6], [7, 7, 7, 4, 4, 7, 7, 4], [6, 0, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0]]\nExample input-output arrays:\n[[7, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 6, 0, 6], [7, 0, 6, 0, 6, 0, 6, 0], [6, 0, 0, 0, 0, 6, 6, 0], [6, 6, 6, 0, 0, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0]] -> [[7, 7, 7, 4, 7, 7, 7, 7], [0, 0, 0, 6, 0, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 6, 0, 6], [7, 7, 4, 7, 4, 7, 4, 7], [6, 0, 0, 0, 0, 6, 6, 0], [6, 6, 6, 0, 0, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[7, 0, 0, 6, 0, 0, 0, 0], [0, 0, 6, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 0, 6, 0, 0, 6, 6, 6], [0, 6, 0, 6, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 6, 0, 0, 0, 0]] -> [[7, 7, 7, 4, 7, 7, 7, 7], [0, 0, 6, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 7, 4, 7, 7, 4, 4, 4], [0, 6, 0, 6, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 6, 0, 0, 0, 0]]\nExample input-output arrays:\n[[7, 0, 0, 0, 0, 0, 6, 6], [0, 0, 0, 6, 0, 6, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0], [7, 0, 6, 6, 0, 0, 6, 0], [0, 6, 0, 0, 0, 6, 0, 6], [0, 6, 0, 0, 6, 0, 0, 0], [7, 6, 0, 0, 0, 0, 6, 0], [6, 0, 0, 0, 0, 0, 0, 6]] -> [[7, 7, 7, 7, 7, 7, 4, 4], [0, 0, 0, 6, 0, 6, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0], [7, 7, 4, 4, 7, 7, 4, 7], [0, 6, 0, 0, 0, 6, 0, 6], [0, 6, 0, 0, 6, 0, 0, 0], [7, 4, 7, 7, 7, 7, 4, 7], [6, 0, 0, 0, 0, 0, 0, 6]]\nExample input-output arrays:\n[[7, 0, 0, 0, 0, 0, 6, 6], [0, 0, 0, 6, 0, 6, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0], [7, 0, 6, 6, 0, 0, 6, 0], [0, 6, 0, 0, 0, 6, 0, 6], [0, 6, 0, 0, 6, 0, 0, 0], [7, 6, 0, 0, 0, 0, 6, 0], [6, 0, 0, 0, 0, 0, 0, 6]] -> [[7, 7, 7, 7, 7, 7, 4, 4], [0, 0, 0, 6, 0, 6, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0], [7, 7, 4, 4, 7, 7, 4, 7], [0, 6, 0, 0, 0, 6, 0, 6], [0, 6, 0, 0, 6, 0, 0, 0], [7, 4, 7, 7, 7, 7, 4, 7], [6, 0, 0, 0, 0, 0, 0, 6]]\n",
+            "Replicate 4": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[7, 6, 0, 0, 0, 6, 6, 0], [0, 6, 0, 0, 0, 0, 0, 0], [0, 6, 6, 0, 6, 0, 0, 6], [6, 6, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0], [7, 6, 0, 6, 6, 0, 0, 0], [0, 0, 0, 6, 6, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0]] -> [[7, 4, 7, 7, 7, 4, 4, 7], [0, 6, 0, 0, 0, 0, 0, 0], [0, 6, 6, 0, 6, 0, 0, 6], [6, 6, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0], [7, 4, 7, 4, 4, 7, 7, 7], [0, 0, 0, 6, 6, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0]]\nExample input-output arrays:\n[[7, 0, 0, 0, 6, 0, 0, 0], [0, 0, 6, 0, 0, 0, 6, 0], [0, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 6, 0, 0, 6, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0], [6, 6, 0, 0, 0, 0, 0, 6]] -> [[7, 7, 7, 7, 4, 7, 7, 7], [0, 0, 6, 0, 0, 0, 6, 0], [0, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 4, 7, 7, 4, 7, 7, 7], [0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0], [6, 6, 0, 0, 0, 0, 0, 6]]\nExample input-output arrays:\n[[7, 6, 6, 0, 0, 0, 6, 6], [0, 0, 6, 0, 0, 6, 6, 0], [0, 0, 6, 0, 0, 6, 0, 0], [7, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 6, 0, 0, 0, 6], [0, 0, 0, 0, 6, 0, 0, 0], [7, 0, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0]] -> [[7, 4, 4, 7, 7, 7, 4, 4], [0, 0, 6, 0, 0, 6, 6, 0], [0, 0, 6, 0, 0, 6, 0, 0], [7, 7, 7, 7, 7, 4, 7, 7], [0, 0, 0, 6, 0, 0, 0, 6], [0, 0, 0, 0, 6, 0, 0, 0], [7, 7, 4, 7, 7, 7, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[7, 0, 0, 6, 0, 0, 0, 0], [0, 0, 6, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 0, 6, 0, 0, 6, 6, 6], [0, 6, 0, 6, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 6, 0, 0, 0, 0]] -> [[7, 7, 7, 4, 7, 7, 7, 7], [0, 0, 6, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 7, 4, 7, 7, 4, 4, 4], [0, 6, 0, 6, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 6, 0, 0, 0, 0]]\nExample input-output arrays:\n[[7, 0, 0, 0, 6, 0, 6, 6], [0, 0, 0, 0, 6, 0, 0, 0], [0, 0, 0, 6, 6, 6, 0, 6], [7, 0, 0, 0, 0, 0, 6, 0], [0, 0, 0, 6, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0], [7, 0, 0, 0, 6, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0]] -> [[7, 7, 7, 7, 4, 7, 4, 4], [0, 0, 0, 0, 6, 0, 0, 0], [0, 0, 0, 6, 6, 6, 0, 6], [7, 7, 7, 7, 7, 7, 4, 7], [0, 0, 0, 6, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0], [7, 7, 7, 7, 4, 4, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[7, 0, 0, 0, 6, 0, 6, 6], [0, 0, 0, 0, 6, 0, 0, 0], [0, 0, 0, 6, 6, 6, 0, 6], [7, 0, 0, 0, 0, 0, 6, 0], [0, 0, 0, 6, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0], [7, 0, 0, 0, 6, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0]] -> [[7, 7, 7, 7, 4, 7, 4, 4], [0, 0, 0, 0, 6, 0, 0, 0], [0, 0, 0, 6, 6, 6, 0, 6], [7, 7, 7, 7, 7, 7, 4, 7], [0, 0, 0, 6, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0], [7, 7, 7, 7, 4, 4, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[7, 0, 0, 6, 0, 0, 0, 0], [0, 0, 6, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 0, 6, 0, 0, 6, 6, 6], [0, 6, 0, 6, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 6, 0, 0, 0, 0]] -> [[7, 7, 7, 4, 7, 7, 7, 7], [0, 0, 6, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 7, 4, 7, 7, 4, 4, 4], [0, 6, 0, 6, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 6, 0, 0, 0, 0]]\nExample input-output arrays:\n[[7, 0, 0, 0, 0, 0, 6, 6], [0, 0, 0, 6, 0, 6, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0], [7, 0, 6, 6, 0, 0, 6, 0], [0, 6, 0, 0, 0, 6, 0, 6], [0, 6, 0, 0, 6, 0, 0, 0], [7, 6, 0, 0, 0, 0, 6, 0], [6, 0, 0, 0, 0, 0, 0, 6]] -> [[7, 7, 7, 7, 7, 7, 4, 4], [0, 0, 0, 6, 0, 6, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0], [7, 7, 4, 4, 7, 7, 4, 7], [0, 6, 0, 0, 0, 6, 0, 6], [0, 6, 0, 0, 6, 0, 0, 0], [7, 4, 7, 7, 7, 7, 4, 7], [6, 0, 0, 0, 0, 0, 0, 6]]\n"
+        },
+        "L3": {
+            "Replicate 0": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[7, 0, 0, 6, 0, 0, 0, 0], [0, 0, 6, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 0, 6, 0, 0, 6, 6, 6], [0, 6, 0, 6, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 6, 0, 0, 0, 0]] -> [[7, 7, 7, 4, 7, 7, 7, 7], [0, 0, 6, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 7, 4, 7, 7, 4, 4, 4], [0, 6, 0, 6, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 6, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[7, 0, 0, 0, 6, 0, 6, 6], [0, 0, 0, 0, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 0, 0, 0, 0, 0, 6, 0], [0, 0, 0, 6, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0], [7, 0, 0, 0, 6, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0]] -> [[7, 7, 7, 7, 4, 7, 4, 4], [0, 0, 0, 0, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 7, 7, 7, 7, 7, 4, 7], [0, 0, 0, 6, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0], [7, 7, 7, 7, 4, 4, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[7, 0, 0, 6, 6, 0, 0, 0], [6, 0, 6, 6, 0, 6, 0, 0], [0, 0, 0, 0, 6, 0, 0, 0], [6, 0, 0, 0, 0, 0, 6, 0], [7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 0, 0, 6, 0, 0], [0, 0, 6, 0, 0, 0, 0, 6], [6, 0, 0, 0, 0, 6, 6, 0]] -> [[7, 7, 7, 4, 4, 7, 7, 7], [6, 0, 6, 6, 0, 6, 0, 0], [0, 0, 0, 0, 6, 0, 0, 0], [6, 0, 0, 0, 0, 0, 6, 0], [7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 6, 0, 0, 6, 0, 0], [0, 0, 6, 0, 0, 0, 0, 6], [6, 0, 0, 0, 0, 6, 6, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[7, 0, 0, 3, 3, 0, 0, 0], [3, 0, 3, 3, 0, 3, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0], [3, 0, 0, 0, 0, 0, 3, 0], [7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 0, 3, 0, 0], [0, 0, 3, 0, 0, 0, 0, 3], [3, 0, 0, 0, 0, 3, 3, 0]] -> [[7, 7, 7, 4, 4, 7, 7, 7], [3, 0, 3, 3, 0, 3, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0], [3, 0, 0, 0, 0, 0, 3, 0], [7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 3, 0, 0, 3, 0, 0], [0, 0, 3, 0, 0, 0, 0, 3], [3, 0, 0, 0, 0, 3, 3, 0]]\nExample input-output arrays:\n[[7, 0, 0, 0, 6, 0, 0, 0], [6, 0, 0, 6, 0, 0, 0, 0], [6, 0, 0, 0, 6, 0, 6, 0], [7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 6, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 0], [7, 6, 6, 6, 0, 0, 0, 0], [0, 0, 6, 0, 0, 6, 0, 0]] -> [[7, 7, 7, 7, 4, 7, 7, 7], [6, 0, 0, 6, 0, 0, 0, 0], [6, 0, 0, 0, 6, 0, 6, 0], [7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 0, 0, 6, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 0], [7, 4, 4, 4, 7, 7, 7, 7], [0, 0, 6, 0, 0, 6, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[7, 0, 0, 0, 0, 0, 6, 6], [0, 0, 0, 0, 0, 0, 0, 0], [6, 6, 0, 6, 0, 0, 6, 0], [0, 6, 0, 6, 0, 0, 0, 0], [0, 0, 6, 0, 0, 6, 6, 0], [7, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 6, 6, 0, 6]] -> [[7, 7, 7, 7, 7, 7, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0], [6, 6, 0, 6, 0, 0, 6, 0], [0, 6, 0, 6, 0, 0, 0, 0], [0, 0, 6, 0, 0, 6, 6, 0], [7, 7, 7, 4, 7, 7, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 6, 6, 0, 6]]\nExample input-output arrays:\n[[7, 6, 6, 0, 0, 0, 6, 6], [0, 0, 6, 0, 0, 6, 6, 0], [0, 0, 6, 0, 0, 6, 0, 0], [7, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 6, 0, 0, 0, 6], [0, 0, 0, 0, 6, 0, 0, 0], [7, 0, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0]] -> [[7, 4, 4, 7, 7, 7, 4, 4], [0, 0, 6, 0, 0, 6, 6, 0], [0, 0, 6, 0, 0, 6, 0, 0], [7, 7, 7, 7, 7, 4, 7, 7], [0, 0, 0, 6, 0, 0, 0, 6], [0, 0, 0, 0, 6, 0, 0, 0], [7, 7, 4, 7, 7, 7, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[7, 6, 6, 6, 6, 6, 6, 6], [0, 0, 6, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 6, 6, 6, 6, 6, 6, 6], [0, 6, 0, 6, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 6, 0, 0, 0, 0]] -> [[7, 4, 4, 4, 4, 4, 4, 4], [0, 0, 6, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 4, 4, 4, 4, 4, 4, 4], [0, 6, 0, 6, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 6, 0, 0, 0, 0]]\n",
+            "Replicate 1": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[7, 0, 0, 0, 6, 0, 6, 6], [0, 0, 0, 0, 6, 0, 0, 0], [0, 0, 0, 6, 6, 6, 0, 6], [7, 0, 0, 0, 0, 0, 6, 0], [0, 0, 0, 6, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0], [7, 0, 0, 0, 6, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0]] -> [[7, 7, 7, 7, 4, 7, 4, 4], [0, 0, 0, 0, 6, 0, 0, 0], [0, 0, 0, 6, 6, 6, 0, 6], [7, 7, 7, 7, 7, 7, 4, 7], [0, 0, 0, 6, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0], [7, 7, 7, 7, 4, 4, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[7, 0, 0, 0, 6, 0, 6, 6], [0, 0, 0, 0, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 0, 0, 0, 0, 0, 6, 0], [0, 0, 0, 6, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0], [7, 0, 0, 0, 6, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0]] -> [[7, 7, 7, 7, 4, 7, 4, 4], [0, 0, 0, 0, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 7, 7, 7, 7, 7, 4, 7], [0, 0, 0, 6, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0], [7, 7, 7, 7, 4, 4, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[7, 0, 0, 0, 0, 0, 0, 6], [6, 6, 0, 0, 0, 0, 0, 6], [0, 0, 0, 0, 6, 0, 0, 0], [0, 6, 6, 6, 0, 0, 0, 6], [7, 0, 0, 6, 0, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 6, 0, 0, 0], [0, 0, 0, 0, 0, 6, 0, 0]] -> [[7, 7, 7, 7, 7, 7, 7, 4], [6, 6, 0, 0, 0, 0, 0, 6], [0, 0, 0, 0, 6, 0, 0, 0], [0, 6, 6, 6, 0, 0, 0, 6], [7, 7, 7, 4, 7, 7, 7, 7], [0, 6, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 6, 0, 0, 0], [0, 0, 0, 0, 0, 6, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[7, 6, 6, 6, 6, 6, 6, 6], [6, 0, 6, 6, 0, 6, 0, 0], [0, 0, 0, 0, 6, 0, 0, 0], [6, 0, 0, 0, 0, 0, 6, 0], [7, 6, 6, 6, 6, 6, 6, 6], [0, 0, 6, 0, 0, 6, 0, 0], [0, 0, 6, 0, 0, 0, 0, 6], [6, 0, 0, 0, 0, 6, 6, 0]] -> [[7, 4, 4, 4, 4, 4, 4, 4], [6, 0, 6, 6, 0, 6, 0, 0], [0, 0, 0, 0, 6, 0, 0, 0], [6, 0, 0, 0, 0, 0, 6, 0], [7, 4, 4, 4, 4, 4, 4, 4], [0, 0, 6, 0, 0, 6, 0, 0], [0, 0, 6, 0, 0, 0, 0, 6], [6, 0, 0, 0, 0, 6, 6, 0]]\nExample input-output arrays:\n[[7, 0, 0, 0, 6, 0, 0, 0], [6, 0, 0, 6, 0, 0, 0, 0], [6, 0, 0, 0, 6, 0, 6, 0], [7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 6, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 0], [7, 6, 6, 6, 0, 0, 0, 0], [0, 0, 6, 0, 0, 6, 0, 0]] -> [[7, 7, 7, 7, 4, 7, 7, 7], [6, 0, 0, 6, 0, 0, 0, 0], [6, 0, 0, 0, 6, 0, 6, 0], [7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 0, 0, 6, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 0], [7, 4, 4, 4, 7, 7, 7, 7], [0, 0, 6, 0, 0, 6, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[7, 0, 0, 0, 0, 0, 6, 6], [0, 0, 0, 0, 0, 0, 0, 0], [6, 6, 0, 6, 0, 0, 6, 0], [0, 6, 0, 6, 0, 0, 0, 0], [0, 0, 6, 0, 0, 6, 6, 0], [7, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 6, 6, 0, 6]] -> [[7, 7, 7, 7, 7, 7, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0], [6, 6, 0, 6, 0, 0, 6, 0], [0, 6, 0, 6, 0, 0, 0, 0], [0, 0, 6, 0, 0, 6, 6, 0], [7, 7, 7, 4, 7, 7, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 6, 6, 0, 6]]\nExample input-output arrays:\n[[7, 0, 0, 0, 0, 0, 6, 6], [0, 0, 0, 6, 0, 6, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0], [7, 0, 6, 6, 0, 0, 6, 0], [0, 6, 0, 0, 0, 6, 0, 6], [0, 6, 0, 0, 6, 0, 0, 0], [7, 6, 0, 0, 0, 0, 6, 0], [6, 0, 0, 0, 0, 0, 0, 6]] -> [[7, 7, 7, 7, 7, 7, 4, 4], [0, 0, 0, 6, 0, 6, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0], [7, 7, 4, 4, 7, 7, 4, 7], [0, 6, 0, 0, 0, 6, 0, 6], [0, 6, 0, 0, 6, 0, 0, 0], [7, 4, 7, 7, 7, 7, 4, 7], [6, 0, 0, 0, 0, 0, 0, 6]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[7, 0, 0, 6, 0, 0, 0, 0], [0, 0, 6, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 0, 6, 0, 0, 6, 6, 6], [0, 6, 0, 6, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 6, 0, 0, 0, 0]] -> [[7, 7, 7, 4, 7, 7, 7, 7], [0, 0, 6, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 7, 4, 7, 7, 4, 4, 4], [0, 6, 0, 6, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 6, 0, 0, 0, 0]]\n",
+            "Replicate 2": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[7, 0, 0, 0, 6, 0, 0, 0], [6, 0, 0, 6, 0, 0, 0, 0], [6, 0, 0, 0, 6, 0, 6, 0], [7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 6, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 0], [7, 6, 6, 6, 0, 0, 0, 0], [0, 0, 6, 0, 0, 6, 0, 0]] -> [[7, 7, 7, 7, 4, 7, 7, 7], [6, 0, 0, 6, 0, 0, 0, 0], [6, 0, 0, 0, 6, 0, 6, 0], [7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 0, 0, 6, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 0], [7, 4, 4, 4, 7, 7, 7, 7], [0, 0, 6, 0, 0, 6, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[7, 0, 0, 0, 6, 0, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6], [0, 0, 0, 6, 6, 6, 0, 6], [7, 0, 0, 0, 0, 0, 6, 0], [0, 0, 0, 6, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0], [7, 0, 0, 0, 6, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0]] -> [[7, 7, 7, 7, 4, 7, 4, 4], [6, 6, 6, 6, 6, 6, 6, 6], [0, 0, 0, 6, 6, 6, 0, 6], [7, 7, 7, 7, 7, 7, 4, 7], [0, 0, 0, 6, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0], [7, 7, 7, 7, 4, 4, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[7, 0, 0, 0, 0, 0, 6, 6], [0, 0, 0, 0, 0, 6, 0, 0], [6, 6, 0, 6, 0, 0, 6, 0], [0, 6, 0, 6, 0, 0, 0, 0], [0, 0, 6, 0, 0, 6, 6, 0], [7, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 6, 6, 0, 6]] -> [[7, 7, 7, 7, 7, 7, 4, 4], [0, 0, 0, 0, 0, 6, 0, 0], [6, 6, 0, 6, 0, 0, 6, 0], [0, 6, 0, 6, 0, 0, 0, 0], [0, 0, 6, 0, 0, 6, 6, 0], [7, 7, 7, 4, 7, 7, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 6, 6, 0, 6]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[7, 0, 0, 5, 5, 0, 0, 0], [5, 0, 5, 5, 0, 5, 0, 0], [0, 0, 0, 0, 5, 0, 0, 0], [5, 0, 0, 0, 0, 0, 5, 0], [7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 0, 0, 5, 0, 0], [0, 0, 5, 0, 0, 0, 0, 5], [5, 0, 0, 0, 0, 5, 5, 0]] -> [[7, 7, 7, 4, 4, 7, 7, 7], [5, 0, 5, 5, 0, 5, 0, 0], [0, 0, 0, 0, 5, 0, 0, 0], [5, 0, 0, 0, 0, 0, 5, 0], [7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 5, 0, 0, 5, 0, 0], [0, 0, 5, 0, 0, 0, 0, 5], [5, 0, 0, 0, 0, 5, 5, 0]]\nExample input-output arrays:\n[[7, 6, 0, 6, 0, 6, 6, 0], [0, 0, 0, 0, 0, 6, 6, 0], [0, 0, 6, 6, 0, 0, 0, 6], [0, 0, 0, 6, 0, 0, 0, 6], [0, 0, 6, 0, 0, 0, 6, 0], [7, 0, 0, 0, 0, 0, 6, 0], [0, 6, 0, 0, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0]] -> [[7, 4, 7, 4, 7, 4, 4, 7], [0, 0, 0, 0, 0, 6, 6, 0], [0, 0, 6, 6, 0, 0, 0, 6], [0, 0, 0, 6, 0, 0, 0, 6], [0, 0, 6, 0, 0, 0, 6, 0], [7, 7, 7, 7, 7, 7, 4, 7], [0, 6, 0, 0, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[7, 0, 0, 0, 0, 0, 3, 3], [0, 0, 0, 0, 0, 3, 0, 0], [3, 3, 0, 3, 0, 0, 3, 0], [0, 3, 0, 3, 0, 0, 0, 0], [0, 0, 3, 0, 0, 3, 3, 0], [7, 0, 0, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 3, 3, 0, 3]] -> [[7, 7, 7, 7, 7, 7, 4, 4], [0, 0, 0, 0, 0, 3, 0, 0], [3, 3, 0, 3, 0, 0, 3, 0], [0, 3, 0, 3, 0, 0, 0, 0], [0, 0, 3, 0, 0, 3, 3, 0], [7, 7, 7, 4, 7, 7, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 3, 3, 0, 3]]\nExample input-output arrays:\n[[7, 0, 0, 0, 6, 0, 0, 0], [0, 0, 6, 0, 0, 0, 6, 0], [0, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 6, 0, 0, 6, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0], [6, 6, 0, 0, 0, 0, 0, 6]] -> [[7, 7, 7, 7, 4, 7, 7, 7], [0, 0, 6, 0, 0, 0, 6, 0], [0, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 4, 7, 7, 4, 7, 7, 7], [0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0], [6, 6, 0, 0, 0, 0, 0, 6]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[7, 6, 6, 6, 6, 6, 6, 6], [0, 0, 6, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 6, 6, 6, 6, 6, 6, 6], [0, 6, 0, 6, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 6, 0, 0, 0, 0]] -> [[7, 4, 4, 4, 4, 4, 4, 4], [0, 0, 6, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 4, 4, 4, 4, 4, 4, 4], [0, 6, 0, 6, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 6, 0, 0, 0, 0]]\n",
+            "Replicate 3": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[7, 0, 0, 0, 0, 0, 0, 6], [6, 6, 0, 0, 0, 0, 0, 6], [0, 0, 0, 0, 6, 0, 0, 0], [0, 6, 6, 6, 0, 0, 0, 6], [7, 0, 0, 6, 0, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 6, 0, 0, 0], [0, 0, 0, 0, 0, 6, 0, 0]] -> [[7, 7, 7, 7, 7, 7, 7, 4], [6, 6, 0, 0, 0, 0, 0, 6], [0, 0, 0, 0, 6, 0, 0, 0], [0, 6, 6, 6, 0, 0, 0, 6], [7, 7, 7, 4, 7, 7, 7, 7], [0, 6, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 6, 0, 0, 0], [0, 0, 0, 0, 0, 6, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[7, 0, 0, 0, 6, 0, 6, 6], [0, 0, 0, 0, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 0, 0, 0, 0, 0, 6, 0], [0, 0, 0, 6, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0], [7, 0, 0, 0, 6, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0]] -> [[7, 7, 7, 7, 4, 7, 4, 4], [0, 0, 0, 0, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 7, 7, 7, 7, 7, 4, 7], [0, 0, 0, 6, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0], [7, 7, 7, 7, 4, 4, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[7, 6, 0, 0, 0, 6, 6, 0], [0, 6, 0, 0, 0, 0, 0, 0], [0, 6, 6, 0, 6, 0, 0, 6], [6, 6, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0], [7, 6, 0, 6, 6, 0, 0, 0], [0, 0, 0, 6, 6, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0]] -> [[7, 4, 7, 7, 7, 4, 4, 7], [0, 6, 0, 0, 0, 0, 0, 0], [0, 6, 6, 0, 6, 0, 0, 6], [6, 6, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0], [7, 4, 7, 4, 4, 7, 7, 7], [0, 0, 0, 6, 6, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[7, 6, 6, 6, 6, 6, 6, 6], [6, 0, 6, 6, 0, 6, 0, 0], [0, 0, 0, 0, 6, 0, 0, 0], [6, 0, 0, 0, 0, 0, 6, 0], [7, 6, 6, 6, 6, 6, 6, 6], [0, 0, 6, 0, 0, 6, 0, 0], [0, 0, 6, 0, 0, 0, 0, 6], [6, 0, 0, 0, 0, 6, 6, 0]] -> [[7, 4, 4, 4, 4, 4, 4, 4], [6, 0, 6, 6, 0, 6, 0, 0], [0, 0, 0, 0, 6, 0, 0, 0], [6, 0, 0, 0, 0, 0, 6, 0], [7, 4, 4, 4, 4, 4, 4, 4], [0, 0, 6, 0, 0, 6, 0, 0], [0, 0, 6, 0, 0, 0, 0, 6], [6, 0, 0, 0, 0, 6, 6, 0]]\nExample input-output arrays:\n[[7, 0, 0, 0, 0, 0, 6, 6], [0, 0, 0, 0, 0, 6, 0, 0], [6, 6, 0, 6, 0, 0, 6, 0], [0, 6, 0, 6, 0, 0, 0, 0], [0, 0, 6, 0, 0, 6, 6, 0], [7, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 6, 6, 0, 6]] -> [[7, 7, 7, 7, 7, 7, 4, 4], [0, 0, 0, 0, 0, 6, 0, 0], [6, 6, 0, 6, 0, 0, 6, 0], [0, 6, 0, 6, 0, 0, 0, 0], [0, 0, 6, 0, 0, 6, 6, 0], [7, 7, 7, 4, 7, 7, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 6, 6, 0, 6]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[7, 0, 0, 0, 0, 0, 9, 9], [0, 0, 0, 0, 0, 9, 0, 0], [9, 9, 0, 9, 0, 0, 9, 0], [0, 9, 0, 9, 0, 0, 0, 0], [0, 0, 9, 0, 0, 9, 9, 0], [7, 0, 0, 9, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 9, 9, 0, 9]] -> [[7, 7, 7, 7, 7, 7, 4, 4], [0, 0, 0, 0, 0, 9, 0, 0], [9, 9, 0, 9, 0, 0, 9, 0], [0, 9, 0, 9, 0, 0, 0, 0], [0, 0, 9, 0, 0, 9, 9, 0], [7, 7, 7, 4, 7, 7, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 9, 9, 0, 9]]\nExample input-output arrays:\n[[7, 0, 0, 0, 6, 0, 6, 6], [0, 0, 0, 0, 6, 0, 0, 0], [0, 0, 0, 6, 6, 6, 0, 6], [7, 0, 0, 0, 0, 0, 6, 0], [0, 0, 0, 6, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0], [7, 0, 0, 0, 6, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0]] -> [[7, 7, 7, 7, 4, 7, 4, 4], [0, 0, 0, 0, 6, 0, 0, 0], [0, 0, 0, 6, 6, 6, 0, 6], [7, 7, 7, 7, 7, 7, 4, 7], [0, 0, 0, 6, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0], [7, 7, 7, 7, 4, 4, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 0, 0, 0, 0, 0, 0, 0], [0, 6, 0, 6, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 6, 0, 0, 0, 0]] -> [[7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 6, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 7, 7, 7, 7, 7, 7, 7], [0, 6, 0, 6, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 6, 0, 0, 0, 0]]\n",
+            "Replicate 4": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[7, 6, 0, 6, 0, 6, 6, 0], [0, 0, 0, 0, 0, 6, 6, 0], [0, 0, 6, 6, 0, 0, 0, 6], [0, 0, 0, 6, 0, 0, 0, 6], [0, 0, 6, 0, 0, 0, 6, 0], [7, 0, 0, 0, 0, 0, 6, 0], [0, 6, 0, 0, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0]] -> [[7, 4, 7, 4, 7, 4, 4, 7], [0, 0, 0, 0, 0, 6, 6, 0], [0, 0, 6, 6, 0, 0, 0, 6], [0, 0, 0, 6, 0, 0, 0, 6], [0, 0, 6, 0, 0, 0, 6, 0], [7, 7, 7, 7, 7, 7, 4, 7], [0, 6, 0, 0, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[7, 0, 0, 0, 9, 0, 9, 9], [0, 0, 0, 0, 9, 0, 0, 0], [0, 0, 0, 9, 9, 9, 0, 9], [7, 0, 0, 0, 0, 0, 9, 0], [0, 0, 0, 9, 0, 0, 0, 0], [9, 0, 0, 0, 0, 0, 0, 0], [7, 0, 0, 0, 9, 9, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0]] -> [[7, 7, 7, 7, 4, 7, 4, 4], [0, 0, 0, 0, 9, 0, 0, 0], [0, 0, 0, 9, 9, 9, 0, 9], [7, 7, 7, 7, 7, 7, 4, 7], [0, 0, 0, 9, 0, 0, 0, 0], [9, 0, 0, 0, 0, 0, 0, 0], [7, 7, 7, 7, 4, 4, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[7, 0, 0, 6, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 6], [7, 0, 6, 0, 0, 0, 0, 6], [6, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 6, 0, 6], [7, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0]] -> [[7, 7, 7, 4, 4, 7, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 6], [7, 7, 4, 7, 7, 7, 7, 4], [6, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 6, 0, 6], [7, 7, 7, 7, 7, 7, 7, 7], [6, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[7, 0, 0, 3, 3, 0, 0, 0], [3, 0, 3, 3, 0, 3, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0], [3, 0, 0, 0, 0, 0, 3, 0], [7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 0, 3, 0, 0], [0, 0, 3, 0, 0, 0, 0, 3], [3, 0, 0, 0, 0, 3, 3, 0]] -> [[7, 7, 7, 4, 4, 7, 7, 7], [3, 0, 3, 3, 0, 3, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0], [3, 0, 0, 0, 0, 0, 3, 0], [7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 3, 0, 0, 3, 0, 0], [0, 0, 3, 0, 0, 0, 0, 3], [3, 0, 0, 0, 0, 3, 3, 0]]\nExample input-output arrays:\n[[7, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 6, 0, 6], [7, 0, 6, 0, 6, 0, 6, 0], [6, 0, 0, 0, 0, 6, 6, 0], [6, 6, 6, 0, 0, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0]] -> [[7, 7, 7, 4, 7, 7, 7, 7], [0, 0, 0, 6, 0, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 6, 0, 6], [7, 7, 4, 7, 4, 7, 4, 7], [6, 0, 0, 0, 0, 6, 6, 0], [6, 6, 6, 0, 0, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[7, 0, 0, 0, 0, 0, 3, 3], [0, 0, 0, 0, 0, 3, 0, 0], [3, 3, 0, 3, 0, 0, 3, 0], [0, 3, 0, 3, 0, 0, 0, 0], [0, 0, 3, 0, 0, 3, 3, 0], [7, 0, 0, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 3, 3, 0, 3]] -> [[7, 7, 7, 7, 7, 7, 4, 4], [0, 0, 0, 0, 0, 3, 0, 0], [3, 3, 0, 3, 0, 0, 3, 0], [0, 3, 0, 3, 0, 0, 0, 0], [0, 0, 3, 0, 0, 3, 3, 0], [7, 7, 7, 4, 7, 7, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 3, 3, 0, 3]]\nExample input-output arrays:\n[[7, 0, 0, 6, 6, 0, 0, 0], [6, 0, 6, 6, 0, 6, 0, 0], [0, 0, 0, 0, 6, 0, 0, 0], [6, 0, 0, 0, 0, 0, 6, 0], [7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 0, 0, 6, 0, 0], [0, 0, 6, 0, 0, 0, 0, 6], [6, 0, 0, 0, 0, 6, 6, 0]] -> [[7, 7, 7, 4, 4, 7, 7, 7], [6, 0, 6, 6, 0, 6, 0, 0], [0, 0, 0, 0, 6, 0, 0, 0], [6, 0, 0, 0, 0, 0, 6, 0], [7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 6, 0, 0, 6, 0, 0], [0, 0, 6, 0, 0, 0, 0, 6], [6, 0, 0, 0, 0, 6, 6, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[7, 6, 6, 6, 6, 6, 6, 6], [0, 0, 6, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 6, 6, 6, 6, 6, 6, 6], [0, 6, 0, 6, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 6, 0, 0, 0, 0]] -> [[7, 4, 4, 4, 4, 4, 4, 4], [0, 0, 6, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 4, 4, 4, 4, 4, 4, 4], [0, 6, 0, 6, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 6, 0, 0, 0, 0]]\n"
+        }
+    },
+    "SCMz750": {
+        "L1": {
+            "Replicate 0": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 8, 0, 7, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 0, 0, 0, 0, 0, 7, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 3, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 1, 0, 0]] -> [[1, 1, 1, 3, 5, 7, 0, 1, 7, 0], [8, 8, 1, 3, 5, 7, 0, 1, 7, 0], [1, 1, 1, 3, 5, 7, 1, 1, 7, 0], [7, 7, 1, 3, 5, 7, 0, 1, 7, 0], [0, 0, 1, 3, 5, 0, 0, 1, 7, 0], [7, 7, 1, 3, 5, 7, 7, 1, 7, 0], [0, 0, 1, 3, 5, 0, 0, 1, 0, 0], [3, 3, 1, 3, 5, 0, 0, 1, 0, 0], [5, 5, 1, 5, 5, 0, 0, 1, 0, 0], [1, 1, 1, 1, 1, 1, 1, 1, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 4, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[4, 4, 4, 4, 0, 0, 3, 7, 0, 0], [0, 0, 0, 0, 0, 0, 3, 7, 0, 0], [0, 0, 0, 0, 0, 0, 3, 7, 0, 0], [3, 3, 3, 3, 3, 3, 3, 7, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 0, 0], [7, 7, 7, 7, 7, 7, 7, 7, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 7, 0, 0, 0, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 5, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 0, 0, 0, 0, 0, 0, 0, 6]] -> [[2, 8, 2, 0, 7, 0, 0, 0, 5, 6], [3, 8, 3, 3, 3, 3, 3, 3, 5, 6], [0, 8, 0, 0, 0, 0, 0, 0, 5, 6], [0, 8, 0, 0, 0, 0, 0, 0, 5, 6], [0, 8, 0, 0, 0, 0, 0, 0, 5, 6], [5, 8, 5, 5, 5, 5, 5, 5, 5, 6], [0, 8, 0, 0, 0, 0, 0, 0, 0, 6], [8, 8, 0, 0, 0, 0, 0, 0, 0, 6], [0, 8, 0, 0, 0, 0, 0, 0, 0, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 0, 0]] -> [[0, 2, 0, 0, 0, 0, 0, 7, 0, 0], [0, 2, 0, 0, 0, 0, 0, 7, 0, 0], [0, 2, 0, 0, 0, 0, 0, 7, 0, 0], [7, 2, 7, 7, 7, 7, 7, 7, 0, 0], [0, 2, 0, 0, 0, 0, 0, 7, 0, 0], [0, 2, 0, 0, 0, 0, 0, 7, 0, 0], [2, 2, 0, 0, 0, 0, 0, 7, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 0, 0], [7, 7, 7, 7, 7, 7, 7, 7, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 9, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 0, 0], [0, 5, 0, 0, 0, 0, 0, 7, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 5, 0, 9, 5, 0, 0, 7, 6, 0], [5, 5, 5, 9, 5, 0, 0, 7, 6, 0], [0, 5, 0, 9, 0, 0, 0, 7, 6, 0], [0, 5, 0, 9, 0, 0, 0, 7, 6, 0], [9, 5, 9, 9, 0, 0, 0, 7, 6, 0], [5, 5, 5, 5, 5, 5, 5, 7, 6, 0], [7, 7, 7, 7, 7, 7, 7, 7, 6, 0], [6, 6, 6, 6, 6, 6, 6, 6, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 5, 0, 0, 0, 0, 3, 0, 0, 0], [5, 8, 0, 0, 0, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 0, 0, 7, 0]] -> [[3, 8, 0, 0, 0, 3, 3, 0, 7, 2], [3, 8, 2, 2, 2, 3, 3, 2, 7, 2], [3, 8, 0, 0, 0, 3, 3, 0, 7, 0], [3, 8, 0, 0, 0, 3, 3, 0, 7, 0], [3, 8, 3, 3, 3, 3, 3, 0, 7, 0], [3, 3, 3, 3, 3, 3, 3, 0, 7, 0], [3, 3, 3, 3, 3, 3, 3, 0, 7, 0], [3, 0, 0, 0, 0, 0, 0, 0, 7, 0], [3, 0, 0, 0, 0, 0, 0, 0, 7, 0], [7, 7, 7, 7, 7, 7, 7, 7, 7, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 0, 0]] -> [[0, 2, 0, 0, 0, 0, 0, 7, 0, 0], [0, 2, 0, 0, 0, 0, 0, 7, 0, 0], [0, 2, 0, 0, 0, 0, 0, 7, 0, 0], [7, 2, 7, 7, 7, 7, 7, 7, 0, 0], [0, 2, 0, 0, 0, 0, 0, 7, 0, 0], [0, 2, 0, 0, 0, 0, 0, 7, 0, 0], [2, 2, 0, 0, 0, 0, 0, 7, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 0, 0], [7, 7, 7, 7, 7, 7, 7, 7, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 9, 0, 0]] -> [[6, 6, 6, 6, 0, 0, 0, 9, 0, 1], [0, 0, 0, 0, 0, 0, 0, 9, 0, 1], [0, 0, 0, 0, 0, 0, 0, 9, 0, 1], [0, 0, 0, 0, 0, 0, 0, 9, 0, 1], [0, 0, 0, 0, 0, 0, 0, 9, 0, 1], [0, 0, 0, 0, 0, 0, 0, 9, 0, 1], [0, 0, 0, 0, 0, 0, 0, 9, 0, 1], [0, 0, 0, 0, 0, 0, 0, 9, 0, 1], [1, 1, 1, 1, 1, 1, 1, 9, 1, 1], [9, 9, 9, 9, 9, 9, 9, 9, 0, 0]]\n",
+            "Replicate 1": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 0, 0]] -> [[0, 0, 0, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 0, 0], [5, 5, 5, 5, 5, 5, 5, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 0, 0], [4, 4, 4, 4, 4, 4, 4, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 0, 0], [6, 6, 6, 6, 6, 6, 6, 6, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 0, 0]] -> [[0, 2, 0, 0, 0, 0, 0, 7, 0, 0], [0, 2, 0, 0, 0, 0, 0, 7, 0, 0], [0, 2, 0, 0, 0, 0, 0, 7, 0, 0], [7, 2, 7, 7, 7, 7, 7, 7, 0, 0], [0, 2, 0, 0, 0, 0, 0, 7, 0, 0], [0, 2, 0, 0, 0, 0, 0, 7, 0, 0], [2, 2, 0, 0, 0, 0, 0, 7, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 0, 0], [7, 7, 7, 7, 7, 7, 7, 7, 0, 0]]\nExample input-output arrays:\n[[0, 4, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 9, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4]] -> [[4, 4, 0, 0, 9, 0, 0, 0, 0, 4], [0, 0, 0, 0, 9, 0, 0, 0, 0, 4], [0, 0, 0, 0, 9, 0, 0, 0, 0, 4], [0, 0, 0, 0, 9, 0, 0, 0, 0, 4], [9, 9, 9, 9, 9, 0, 0, 0, 0, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 7, 0, 0, 0, 0], [0, 0, 7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 4, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 3, 4, 0, 7, 0, 0, 0, 0], [7, 7, 3, 4, 7, 7, 0, 0, 0, 0], [7, 7, 3, 4, 0, 0, 0, 0, 0, 0], [4, 4, 3, 4, 0, 0, 0, 0, 0, 0], [3, 3, 3, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 0, 0]] -> [[0, 2, 0, 0, 0, 0, 0, 7, 0, 0], [0, 2, 0, 0, 0, 0, 0, 7, 0, 0], [0, 2, 0, 0, 0, 0, 0, 7, 0, 0], [7, 2, 7, 7, 7, 7, 7, 7, 0, 0], [0, 2, 0, 0, 0, 0, 0, 7, 0, 0], [0, 2, 0, 0, 0, 0, 0, 7, 0, 0], [2, 2, 0, 0, 0, 0, 0, 7, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 0, 0], [7, 7, 7, 7, 7, 7, 7, 7, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 7, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 5, 0, 9, 0, 0, 0, 0, 0, 0]] -> [[2, 5, 0, 9, 1, 0, 7, 0, 0, 0], [2, 5, 0, 9, 1, 0, 7, 0, 0, 0], [2, 5, 0, 9, 1, 0, 7, 0, 0, 0], [2, 5, 1, 9, 1, 0, 7, 0, 0, 0], [2, 5, 0, 9, 0, 0, 7, 0, 0, 0], [0, 5, 0, 9, 0, 0, 7, 0, 0, 0], [0, 5, 0, 9, 0, 0, 7, 0, 0, 0], [7, 5, 7, 9, 7, 7, 7, 0, 0, 0], [0, 5, 0, 9, 0, 0, 0, 0, 0, 0], [9, 9, 9, 9, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 7, 0, 0, 0, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 5, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 0, 0, 0, 0, 0, 0, 0, 6]] -> [[2, 8, 2, 0, 7, 0, 0, 0, 5, 6], [3, 8, 3, 3, 3, 3, 3, 3, 5, 6], [0, 8, 0, 0, 0, 0, 0, 0, 5, 6], [0, 8, 0, 0, 0, 0, 0, 0, 5, 6], [0, 8, 0, 0, 0, 0, 0, 0, 5, 6], [5, 8, 5, 5, 5, 5, 5, 5, 5, 6], [0, 8, 0, 0, 0, 0, 0, 0, 0, 6], [8, 8, 0, 0, 0, 0, 0, 0, 0, 6], [0, 8, 0, 0, 0, 0, 0, 0, 0, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 0, 0]] -> [[0, 2, 0, 0, 0, 0, 0, 7, 0, 0], [0, 2, 0, 0, 0, 0, 0, 7, 0, 0], [0, 2, 0, 0, 0, 0, 0, 7, 0, 0], [7, 2, 7, 7, 7, 7, 7, 7, 0, 0], [0, 2, 0, 0, 0, 0, 0, 7, 0, 0], [0, 2, 0, 0, 0, 0, 0, 7, 0, 0], [2, 2, 0, 0, 0, 0, 0, 7, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 0, 0], [7, 7, 7, 7, 7, 7, 7, 7, 0, 0]]\n",
+            "Replicate 2": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0, 0, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 6, 5, 0, 0, 0, 0, 5], [0, 0, 0, 6, 5, 0, 0, 0, 0, 5], [0, 0, 0, 6, 5, 0, 0, 0, 0, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [5, 5, 5, 5, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 5, 0, 0, 0, 0, 3, 0, 0, 0], [5, 8, 0, 0, 0, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 0, 0, 7, 0]] -> [[3, 8, 0, 0, 0, 3, 3, 0, 7, 2], [3, 8, 2, 2, 2, 3, 3, 2, 7, 2], [3, 8, 0, 0, 0, 3, 3, 0, 7, 0], [3, 8, 0, 0, 0, 3, 3, 0, 7, 0], [3, 8, 3, 3, 3, 3, 3, 0, 7, 0], [3, 3, 3, 3, 3, 3, 3, 0, 7, 0], [3, 3, 3, 3, 3, 3, 3, 0, 7, 0], [3, 0, 0, 0, 0, 0, 0, 0, 7, 0], [3, 0, 0, 0, 0, 0, 0, 0, 7, 0], [7, 7, 7, 7, 7, 7, 7, 7, 7, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0, 0, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 6, 5, 0, 0, 0, 0, 5], [0, 0, 0, 6, 5, 0, 0, 0, 0, 5], [0, 0, 0, 6, 5, 0, 0, 0, 0, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [5, 5, 5, 5, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0, 0, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 6, 5, 0, 0, 0, 0, 5], [0, 0, 0, 6, 5, 0, 0, 0, 0, 5], [0, 0, 0, 6, 5, 0, 0, 0, 0, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [5, 5, 5, 5, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0, 0, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 6, 5, 0, 0, 0, 0, 5], [0, 0, 0, 6, 5, 0, 0, 0, 0, 5], [0, 0, 0, 6, 5, 0, 0, 0, 0, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [5, 5, 5, 5, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 4, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 9, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4]] -> [[4, 4, 0, 0, 9, 0, 0, 0, 0, 4], [0, 0, 0, 0, 9, 0, 0, 0, 0, 4], [0, 0, 0, 0, 9, 0, 0, 0, 0, 4], [0, 0, 0, 0, 9, 0, 0, 0, 0, 4], [9, 9, 9, 9, 9, 0, 0, 0, 0, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 7, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 9, 0, 8, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[1, 7, 0, 0, 0, 7, 9, 0, 8, 0], [1, 7, 0, 0, 0, 7, 9, 0, 8, 0], [1, 7, 0, 0, 0, 7, 9, 0, 8, 0], [1, 7, 0, 0, 0, 7, 9, 0, 8, 0], [7, 7, 7, 7, 7, 7, 9, 0, 8, 0], [8, 8, 8, 8, 8, 8, 8, 8, 8, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [8, 1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\n",
+            "Replicate 3": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 9, 0, 0]] -> [[6, 6, 6, 6, 0, 0, 0, 9, 0, 1], [0, 0, 0, 0, 0, 0, 0, 9, 0, 1], [0, 0, 0, 0, 0, 0, 0, 9, 0, 1], [0, 0, 0, 0, 0, 0, 0, 9, 0, 1], [0, 0, 0, 0, 0, 0, 0, 9, 0, 1], [0, 0, 0, 0, 0, 0, 0, 9, 0, 1], [0, 0, 0, 0, 0, 0, 0, 9, 0, 1], [0, 0, 0, 0, 0, 0, 0, 9, 0, 1], [1, 1, 1, 1, 1, 1, 1, 9, 1, 1], [9, 9, 9, 9, 9, 9, 9, 9, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [8, 1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 0, 0, 1, 0, 0, 0, 5], [0, 0, 0, 0, 0, 1, 0, 0, 0, 5], [0, 0, 0, 0, 0, 1, 0, 0, 0, 5], [0, 0, 0, 0, 0, 1, 0, 0, 0, 5], [0, 0, 0, 0, 0, 1, 0, 0, 0, 5], [1, 1, 1, 1, 1, 1, 0, 0, 0, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 4, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 9, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4]] -> [[4, 4, 0, 0, 9, 0, 0, 0, 0, 4], [0, 0, 0, 0, 9, 0, 0, 0, 0, 4], [0, 0, 0, 0, 9, 0, 0, 0, 0, 4], [0, 0, 0, 0, 9, 0, 0, 0, 0, 4], [9, 9, 9, 9, 9, 0, 0, 0, 0, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 0, 0, 1, 0, 0, 0, 5], [0, 0, 0, 0, 0, 1, 0, 0, 0, 5], [0, 0, 0, 0, 0, 1, 0, 0, 0, 5], [0, 0, 0, 0, 0, 1, 0, 0, 0, 5], [0, 0, 0, 0, 0, 1, 0, 0, 0, 5], [1, 1, 1, 1, 1, 1, 0, 0, 0, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 7, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 9, 0, 8, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[1, 7, 0, 0, 0, 7, 9, 0, 8, 0], [1, 7, 0, 0, 0, 7, 9, 0, 8, 0], [1, 7, 0, 0, 0, 7, 9, 0, 8, 0], [1, 7, 0, 0, 0, 7, 9, 0, 8, 0], [7, 7, 7, 7, 7, 7, 9, 0, 8, 0], [8, 8, 8, 8, 8, 8, 8, 8, 8, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 8, 0, 7, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 0, 0, 0, 0, 0, 7, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 3, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 1, 0, 0]] -> [[1, 1, 1, 3, 5, 7, 0, 1, 7, 0], [8, 8, 1, 3, 5, 7, 0, 1, 7, 0], [1, 1, 1, 3, 5, 7, 1, 1, 7, 0], [7, 7, 1, 3, 5, 7, 0, 1, 7, 0], [0, 0, 1, 3, 5, 0, 0, 1, 7, 0], [7, 7, 1, 3, 5, 7, 7, 1, 7, 0], [0, 0, 1, 3, 5, 0, 0, 1, 0, 0], [3, 3, 1, 3, 5, 0, 0, 1, 0, 0], [5, 5, 1, 5, 5, 0, 0, 1, 0, 0], [1, 1, 1, 1, 1, 1, 1, 1, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 7, 0, 0, 0, 0], [0, 0, 7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 4, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 3, 4, 0, 7, 0, 0, 0, 0], [7, 7, 3, 4, 7, 7, 0, 0, 0, 0], [7, 7, 3, 4, 0, 0, 0, 0, 0, 0], [4, 4, 3, 4, 0, 0, 0, 0, 0, 0], [3, 3, 3, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\n",
+            "Replicate 4": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 0, 0]] -> [[0, 0, 0, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 0, 0], [5, 5, 5, 5, 5, 5, 5, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 0, 0], [4, 4, 4, 4, 4, 4, 4, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 0, 0], [6, 6, 6, 6, 6, 6, 6, 6, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 1, 0], [0, 0, 0, 8, 0, 7, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 0, 0, 0, 0, 0, 7, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 3, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 1, 0, 0]] -> [[1, 1, 1, 3, 5, 7, 0, 1, 7, 0], [8, 8, 1, 3, 5, 7, 0, 1, 7, 0], [1, 1, 1, 3, 5, 7, 1, 1, 7, 0], [7, 7, 1, 3, 5, 7, 0, 1, 7, 0], [0, 0, 1, 3, 5, 0, 0, 1, 7, 0], [7, 7, 1, 3, 5, 7, 7, 1, 7, 0], [0, 0, 1, 3, 5, 0, 0, 1, 0, 0], [3, 3, 1, 3, 5, 0, 0, 1, 0, 0], [5, 5, 1, 5, 5, 0, 0, 1, 0, 0], [1, 1, 1, 1, 1, 1, 1, 1, 0, 0]]\nExample input-output arrays:\n[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 7, 0, 0, 0, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 5, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 0, 0, 0, 0, 0, 0, 0, 6]] -> [[2, 8, 2, 0, 7, 0, 0, 0, 5, 6], [3, 8, 3, 3, 3, 3, 3, 3, 5, 6], [0, 8, 0, 0, 0, 0, 0, 0, 5, 6], [0, 8, 0, 0, 0, 0, 0, 0, 5, 6], [0, 8, 0, 0, 0, 0, 0, 0, 5, 6], [5, 8, 5, 5, 5, 5, 5, 5, 5, 6], [0, 8, 0, 0, 0, 0, 0, 0, 0, 6], [8, 8, 0, 0, 0, 0, 0, 0, 0, 6], [0, 8, 0, 0, 0, 0, 0, 0, 0, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 0, 0]] -> [[0, 2, 0, 0, 0, 0, 0, 7, 0, 0], [0, 2, 0, 0, 0, 0, 0, 7, 0, 0], [0, 2, 0, 0, 0, 0, 0, 7, 0, 0], [7, 2, 7, 7, 7, 7, 7, 7, 0, 0], [0, 2, 0, 0, 0, 0, 0, 7, 0, 0], [0, 2, 0, 0, 0, 0, 0, 7, 0, 0], [2, 2, 0, 0, 0, 0, 0, 7, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 0, 0], [7, 7, 7, 7, 7, 7, 7, 7, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 4, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[4, 4, 4, 4, 0, 0, 3, 7, 0, 0], [0, 0, 0, 0, 0, 0, 3, 7, 0, 0], [0, 0, 0, 0, 0, 0, 3, 7, 0, 0], [3, 3, 3, 3, 3, 3, 3, 7, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 0, 0], [7, 7, 7, 7, 7, 7, 7, 7, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 7, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 9, 0, 8, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[1, 7, 0, 0, 0, 7, 9, 0, 8, 0], [1, 7, 0, 0, 0, 7, 9, 0, 8, 0], [1, 7, 0, 0, 0, 7, 9, 0, 8, 0], [1, 7, 0, 0, 0, 7, 9, 0, 8, 0], [7, 7, 7, 7, 7, 7, 9, 0, 8, 0], [8, 8, 8, 8, 8, 8, 8, 8, 8, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 4, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 9, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4]] -> [[4, 4, 0, 0, 9, 0, 0, 0, 0, 4], [0, 0, 0, 0, 9, 0, 0, 0, 0, 4], [0, 0, 0, 0, 9, 0, 0, 0, 0, 4], [0, 0, 0, 0, 9, 0, 0, 0, 0, 4], [9, 9, 9, 9, 9, 0, 0, 0, 0, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0, 0, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 6, 5, 0, 0, 0, 0, 5], [0, 0, 0, 6, 5, 0, 0, 0, 0, 5], [0, 0, 0, 6, 5, 0, 0, 0, 0, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 5, 0, 0, 0, 0, 0], [5, 5, 5, 5, 5, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\n"
+        },
+        "L3": {
+            "Replicate 0": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 7, 0, 0, 0, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 5, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 0, 0, 0, 0, 0, 0, 0, 6]] -> [[2, 8, 2, 0, 7, 0, 0, 0, 5, 6], [3, 8, 3, 3, 3, 3, 3, 3, 5, 6], [0, 8, 0, 0, 0, 0, 0, 0, 5, 6], [0, 8, 0, 0, 0, 0, 0, 0, 5, 6], [0, 8, 0, 0, 0, 0, 0, 0, 5, 6], [5, 8, 5, 5, 5, 5, 5, 5, 5, 6], [0, 8, 0, 0, 0, 0, 0, 0, 0, 6], [8, 8, 0, 0, 0, 0, 0, 0, 0, 6], [0, 8, 0, 0, 0, 0, 0, 0, 0, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 7, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 9, 0, 8, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 7, 0, 0, 0, 7, 9, 0, 8, 0], [0, 7, 0, 0, 0, 7, 9, 0, 8, 0], [0, 7, 0, 0, 0, 7, 9, 0, 8, 0], [0, 7, 0, 0, 0, 7, 9, 0, 8, 0], [7, 7, 7, 7, 7, 7, 9, 0, 8, 0], [8, 8, 8, 8, 8, 8, 8, 8, 8, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 7, 0, 0, 0, 0], [0, 0, 7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 4, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 3, 4, 0, 7, 0, 0, 0, 0], [7, 7, 3, 4, 7, 7, 0, 0, 0, 0], [7, 7, 3, 4, 0, 0, 0, 0, 0, 0], [4, 4, 3, 4, 0, 0, 0, 0, 0, 0], [3, 3, 3, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 6, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 0, 0, 0], [8, 6, 0, 0, 0, 0, 0, 0, 0, 0], [6, 6, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 9, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 9, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 6, 9, 0, 9, 0, 0, 0, 0], [0, 0, 6, 9, 0, 9, 0, 0, 0, 0], [9, 9, 6, 9, 0, 9, 0, 0, 0, 0], [0, 0, 6, 0, 0, 9, 0, 0, 0, 0], [3, 3, 6, 0, 0, 9, 0, 0, 0, 0], [9, 9, 6, 9, 9, 9, 0, 0, 0, 0], [0, 0, 6, 0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 0, 0, 0, 0, 0, 0, 0], [6, 6, 6, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 9, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 0, 0]] -> [[0, 0, 0, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 0, 0], [5, 5, 5, 5, 5, 5, 5, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 0, 0], [9, 9, 9, 9, 9, 9, 9, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 0, 0], [6, 6, 6, 6, 6, 6, 6, 6, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 9, 0, 0]] -> [[6, 6, 6, 6, 0, 0, 0, 9, 0, 1], [0, 0, 0, 0, 0, 0, 0, 9, 0, 1], [0, 0, 0, 0, 0, 0, 0, 9, 0, 1], [0, 0, 0, 0, 0, 0, 0, 9, 0, 1], [0, 0, 0, 0, 0, 0, 0, 9, 0, 1], [0, 0, 0, 0, 0, 0, 0, 9, 0, 1], [0, 0, 0, 0, 0, 0, 0, 9, 0, 1], [0, 0, 0, 0, 0, 0, 0, 9, 0, 1], [1, 1, 1, 1, 1, 1, 1, 9, 1, 1], [9, 9, 9, 9, 9, 9, 9, 9, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 7, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 5, 0, 9, 0, 0, 0, 0, 0, 0]] -> [[2, 5, 0, 9, 8, 0, 7, 0, 0, 0], [2, 5, 0, 9, 8, 0, 7, 0, 0, 0], [2, 5, 0, 9, 8, 0, 7, 0, 0, 0], [2, 5, 8, 9, 8, 0, 7, 0, 0, 0], [2, 5, 0, 9, 0, 0, 7, 0, 0, 0], [0, 5, 0, 9, 0, 0, 7, 0, 0, 0], [0, 5, 0, 9, 0, 0, 7, 0, 0, 0], [7, 5, 7, 9, 7, 7, 7, 0, 0, 0], [0, 5, 0, 9, 0, 0, 0, 0, 0, 0], [9, 9, 9, 9, 0, 0, 0, 0, 0, 0]]\n",
+            "Replicate 1": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 9, 0, 0]] -> [[6, 6, 6, 6, 0, 0, 0, 9, 0, 1], [0, 0, 0, 0, 0, 0, 0, 9, 0, 1], [0, 0, 0, 0, 0, 0, 0, 9, 0, 1], [0, 0, 0, 0, 0, 0, 0, 9, 0, 1], [0, 0, 0, 0, 0, 0, 0, 9, 0, 1], [0, 0, 0, 0, 0, 0, 0, 9, 0, 1], [0, 0, 0, 0, 0, 0, 0, 9, 0, 1], [0, 0, 0, 0, 0, 0, 0, 9, 0, 1], [1, 1, 1, 1, 1, 1, 1, 9, 1, 1], [9, 9, 9, 9, 9, 9, 9, 9, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 7, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 9, 0, 8, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[2, 7, 0, 0, 0, 7, 9, 0, 8, 0], [2, 7, 0, 0, 0, 7, 9, 0, 8, 0], [2, 7, 0, 0, 0, 7, 9, 0, 8, 0], [2, 7, 0, 0, 0, 7, 9, 0, 8, 0], [7, 7, 7, 7, 7, 7, 9, 0, 8, 0], [8, 8, 8, 8, 8, 8, 8, 8, 8, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 7, 0, 0, 0, 0], [0, 0, 7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 4, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 3, 4, 0, 7, 0, 0, 0, 0], [7, 7, 3, 4, 7, 7, 0, 0, 0, 0], [7, 7, 3, 4, 0, 0, 0, 0, 0, 0], [4, 4, 3, 4, 0, 0, 0, 0, 0, 0], [3, 3, 3, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 0, 0, 0, 0, 0, 0, 0, 0], [0, 3, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 3, 0, 0, 0, 0, 0, 0, 0, 0], [0, 3, 0, 0, 0, 0, 0, 0, 0, 0], [8, 3, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 0, 0, 1, 0, 0, 0, 5], [0, 0, 0, 0, 0, 1, 0, 0, 0, 5], [0, 0, 0, 0, 0, 1, 0, 0, 0, 5], [0, 0, 0, 0, 0, 1, 0, 0, 0, 5], [0, 0, 0, 0, 0, 1, 0, 0, 0, 5], [1, 1, 1, 1, 1, 1, 0, 0, 0, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 0, 0]] -> [[0, 0, 0, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 0, 0], [5, 5, 5, 5, 5, 5, 5, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 0, 0], [7, 7, 7, 7, 7, 7, 7, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 0, 0], [6, 6, 6, 6, 6, 6, 6, 6, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [8, 1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 7, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 5, 0, 9, 0, 0, 0, 0, 0, 0]] -> [[2, 5, 0, 9, 8, 0, 7, 0, 0, 0], [2, 5, 0, 9, 8, 0, 7, 0, 0, 0], [2, 5, 0, 9, 8, 0, 7, 0, 0, 0], [2, 5, 8, 9, 8, 0, 7, 0, 0, 0], [2, 5, 0, 9, 0, 0, 7, 0, 0, 0], [0, 5, 0, 9, 0, 0, 7, 0, 0, 0], [0, 5, 0, 9, 0, 0, 7, 0, 0, 0], [7, 5, 7, 9, 7, 7, 7, 0, 0, 0], [0, 5, 0, 9, 0, 0, 0, 0, 0, 0], [9, 9, 9, 9, 0, 0, 0, 0, 0, 0]]\n",
+            "Replicate 2": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 7, 0, 0, 0, 0], [0, 0, 7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 4, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 3, 4, 0, 7, 0, 0, 0, 0], [7, 7, 3, 4, 7, 7, 0, 0, 0, 0], [7, 7, 3, 4, 0, 0, 0, 0, 0, 0], [4, 4, 3, 4, 0, 0, 0, 0, 0, 0], [3, 3, 3, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 7, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 9, 0, 8, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[6, 7, 0, 0, 0, 7, 9, 0, 8, 0], [6, 7, 0, 0, 0, 7, 9, 0, 8, 0], [6, 7, 0, 0, 0, 7, 9, 0, 8, 0], [6, 7, 0, 0, 0, 7, 9, 0, 8, 0], [7, 7, 7, 7, 7, 7, 9, 0, 8, 0], [8, 8, 8, 8, 8, 8, 8, 8, 8, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 9, 0, 0]] -> [[6, 6, 6, 6, 0, 0, 0, 9, 0, 1], [0, 0, 0, 0, 0, 0, 0, 9, 0, 1], [0, 0, 0, 0, 0, 0, 0, 9, 0, 1], [0, 0, 0, 0, 0, 0, 0, 9, 0, 1], [0, 0, 0, 0, 0, 0, 0, 9, 0, 1], [0, 0, 0, 0, 0, 0, 0, 9, 0, 1], [0, 0, 0, 0, 0, 0, 0, 9, 0, 1], [0, 0, 0, 0, 0, 0, 0, 9, 0, 1], [1, 1, 1, 1, 1, 1, 1, 9, 1, 1], [9, 9, 9, 9, 9, 9, 9, 9, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 8, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 0, 0, 0, 0, 0, 0, 0, 0], [8, 8, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 7, 0, 0, 0, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 5, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 0, 0, 0, 0, 0, 0, 0, 6]] -> [[2, 8, 2, 0, 7, 0, 0, 0, 5, 6], [3, 8, 3, 3, 3, 3, 3, 3, 5, 6], [0, 8, 0, 0, 0, 0, 0, 0, 5, 6], [0, 8, 0, 0, 0, 0, 0, 0, 5, 6], [0, 8, 0, 0, 0, 0, 0, 0, 5, 6], [5, 8, 5, 5, 5, 5, 5, 5, 5, 6], [0, 8, 0, 0, 0, 0, 0, 0, 0, 6], [8, 8, 0, 0, 0, 0, 0, 0, 0, 6], [0, 8, 0, 0, 0, 0, 0, 0, 0, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 0, 0]] -> [[0, 0, 0, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 0, 0], [5, 5, 5, 5, 5, 5, 5, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 0, 0], [6, 6, 6, 6, 6, 6, 6, 6, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 0, 0]] -> [[0, 0, 0, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 0, 0], [5, 5, 5, 5, 5, 5, 5, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 0, 0], [4, 4, 4, 4, 4, 4, 4, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 0, 0], [6, 6, 6, 6, 6, 6, 6, 6, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 7, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 5, 0, 9, 0, 0, 0, 0, 0, 0]] -> [[0, 5, 0, 9, 1, 0, 7, 0, 0, 0], [0, 5, 0, 9, 1, 0, 7, 0, 0, 0], [0, 5, 0, 9, 1, 0, 7, 0, 0, 0], [1, 5, 1, 9, 1, 0, 7, 0, 0, 0], [0, 5, 0, 9, 0, 0, 7, 0, 0, 0], [0, 5, 0, 9, 0, 0, 7, 0, 0, 0], [0, 5, 0, 9, 0, 0, 7, 0, 0, 0], [7, 5, 7, 9, 7, 7, 7, 0, 0, 0], [0, 5, 0, 9, 0, 0, 0, 0, 0, 0], [9, 9, 9, 9, 0, 0, 0, 0, 0, 0]]\n",
+            "Replicate 3": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 4, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 9, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4]] -> [[4, 4, 0, 0, 9, 0, 0, 0, 0, 4], [0, 0, 0, 0, 9, 0, 0, 0, 0, 4], [0, 0, 0, 0, 9, 0, 0, 0, 0, 4], [0, 0, 0, 0, 9, 0, 0, 0, 0, 4], [9, 9, 9, 9, 9, 0, 0, 0, 0, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 7, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 9, 0, 8, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[6, 7, 0, 0, 0, 7, 9, 0, 8, 0], [6, 7, 0, 0, 0, 7, 9, 0, 8, 0], [6, 7, 0, 0, 0, 7, 9, 0, 8, 0], [6, 7, 0, 0, 0, 7, 9, 0, 8, 0], [7, 7, 7, 7, 7, 7, 9, 0, 8, 0], [8, 8, 8, 8, 8, 8, 8, 8, 8, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 7, 0, 0, 0, 0], [0, 0, 7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 4, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 3, 4, 0, 7, 0, 0, 0, 0], [7, 7, 3, 4, 7, 7, 0, 0, 0, 0], [7, 7, 3, 4, 0, 0, 0, 0, 0, 0], [4, 4, 3, 4, 0, 0, 0, 0, 0, 0], [3, 3, 3, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 5, 0, 0, 0, 0, 3, 0, 0, 0], [5, 8, 0, 0, 0, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 0, 0, 7, 0]] -> [[3, 8, 0, 0, 0, 3, 3, 0, 7, 2], [3, 8, 2, 2, 2, 3, 3, 2, 7, 2], [3, 8, 0, 0, 0, 3, 3, 0, 7, 0], [3, 8, 0, 0, 0, 3, 3, 0, 7, 0], [3, 8, 3, 3, 3, 3, 3, 0, 7, 0], [3, 3, 3, 3, 3, 3, 3, 0, 7, 0], [3, 3, 3, 3, 3, 3, 3, 0, 7, 0], [3, 0, 0, 0, 0, 0, 0, 0, 7, 0], [3, 0, 0, 0, 0, 0, 0, 0, 7, 0], [7, 7, 7, 7, 7, 7, 7, 7, 7, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 0, 0]] -> [[0, 0, 0, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 0, 0], [5, 5, 5, 5, 5, 5, 5, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 0, 0], [7, 7, 7, 7, 7, 7, 7, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 0, 0], [6, 6, 6, 6, 6, 6, 6, 6, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 7, 0, 0, 0, 0], [0, 0, 7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 4, 0, 0, 0, 0, 0, 0], [0, 0, 3, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 3, 4, 0, 7, 0, 0, 0, 0], [7, 7, 3, 4, 7, 7, 0, 0, 0, 0], [7, 7, 3, 4, 0, 0, 0, 0, 0, 0], [4, 4, 3, 4, 0, 0, 0, 0, 0, 0], [3, 3, 3, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 7, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 9, 0, 0, 0, 0, 0, 0]] -> [[2, 0, 0, 9, 1, 0, 7, 0, 0, 0], [2, 0, 0, 9, 1, 0, 7, 0, 0, 0], [2, 0, 0, 9, 1, 0, 7, 0, 0, 0], [2, 1, 1, 9, 1, 0, 7, 0, 0, 0], [2, 0, 0, 9, 0, 0, 7, 0, 0, 0], [0, 0, 0, 9, 0, 0, 7, 0, 0, 0], [0, 0, 0, 9, 0, 0, 7, 0, 0, 0], [7, 7, 7, 9, 7, 7, 7, 0, 0, 0], [0, 0, 0, 9, 0, 0, 0, 0, 0, 0], [9, 9, 9, 9, 0, 0, 0, 0, 0, 0]]\n",
+            "Replicate 4": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 0, 0]] -> [[0, 2, 0, 0, 0, 0, 0, 7, 0, 0], [0, 2, 0, 0, 0, 0, 0, 7, 0, 0], [0, 2, 0, 0, 0, 0, 0, 7, 0, 0], [7, 2, 7, 7, 7, 7, 7, 7, 0, 0], [0, 2, 0, 0, 0, 0, 0, 7, 0, 0], [0, 2, 0, 0, 0, 0, 0, 7, 0, 0], [2, 2, 0, 0, 0, 0, 0, 7, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 0, 0], [7, 7, 7, 7, 7, 7, 7, 7, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 7, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 9, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[1, 7, 0, 0, 0, 7, 9, 0, 0, 0], [1, 7, 0, 0, 0, 7, 9, 0, 0, 0], [1, 7, 0, 0, 0, 7, 9, 0, 0, 0], [1, 7, 0, 0, 0, 7, 9, 0, 0, 0], [7, 7, 7, 7, 7, 7, 9, 0, 0, 0], [9, 9, 9, 9, 9, 9, 9, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 5, 0, 0, 0, 0, 3, 0, 0, 0], [5, 8, 0, 0, 0, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 0, 0, 7, 0]] -> [[3, 8, 0, 0, 0, 3, 3, 0, 7, 2], [3, 8, 2, 2, 2, 3, 3, 2, 7, 2], [3, 8, 0, 0, 0, 3, 3, 0, 7, 0], [3, 8, 0, 0, 0, 3, 3, 0, 7, 0], [3, 8, 3, 3, 3, 3, 3, 0, 7, 0], [3, 3, 3, 3, 3, 3, 3, 0, 7, 0], [3, 3, 3, 3, 3, 3, 3, 0, 7, 0], [3, 0, 0, 0, 0, 0, 0, 0, 7, 0], [3, 0, 0, 0, 0, 0, 0, 0, 7, 0], [7, 7, 7, 7, 7, 7, 7, 7, 7, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 0, 0, 0, 0, 0, 0, 0, 0], [0, 9, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 9, 0, 0, 0, 0, 0, 0, 0, 0], [0, 9, 0, 0, 0, 0, 0, 0, 0, 0], [8, 9, 0, 0, 0, 0, 0, 0, 0, 0], [9, 9, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 5, 0, 0, 0, 0, 3, 0, 0, 0], [5, 8, 0, 0, 0, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 0, 0, 7, 0]] -> [[3, 8, 0, 0, 0, 3, 3, 0, 7, 2], [3, 8, 2, 2, 2, 3, 3, 2, 7, 2], [3, 8, 0, 0, 0, 3, 3, 0, 7, 0], [3, 8, 0, 0, 0, 3, 3, 0, 7, 0], [3, 8, 3, 3, 3, 3, 3, 0, 7, 0], [3, 3, 3, 3, 3, 3, 3, 0, 7, 0], [3, 3, 3, 3, 3, 3, 3, 0, 7, 0], [3, 0, 0, 0, 0, 0, 0, 0, 7, 0], [3, 0, 0, 0, 0, 0, 0, 0, 7, 0], [7, 7, 7, 7, 7, 7, 7, 7, 7, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 0, 0]] -> [[0, 0, 0, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 0, 0], [5, 5, 5, 5, 5, 5, 5, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 0, 0], [6, 6, 6, 6, 6, 6, 6, 6, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [8, 1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 7, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 5, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[2, 5, 0, 0, 1, 0, 7, 0, 0, 0], [2, 5, 0, 0, 1, 0, 7, 0, 0, 0], [2, 5, 0, 0, 1, 0, 7, 0, 0, 0], [2, 5, 1, 1, 1, 0, 7, 0, 0, 0], [2, 5, 0, 0, 0, 0, 7, 0, 0, 0], [0, 5, 0, 0, 0, 0, 7, 0, 0, 0], [0, 5, 0, 0, 0, 0, 7, 0, 0, 0], [7, 5, 7, 7, 7, 7, 7, 0, 0, 0], [0, 5, 0, 0, 0, 0, 0, 0, 0, 0], [5, 5, 0, 0, 0, 0, 0, 0, 0, 0]]\n"
+        }
+    }
+}
\ No newline at end of file
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diff --git a/static_evaluation_set/v0_09-01-25/.ipynb_checkpoints/consolidate_dicts-checkpoint.ipynb b/static_evaluation_set/v0_09-01-25/.ipynb_checkpoints/consolidate_dicts-checkpoint.ipynb
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+++ b/static_evaluation_set/v0_09-01-25/.ipynb_checkpoints/consolidate_dicts-checkpoint.ipynb
@@ -0,0 +1,1634 @@
+{
+ "cells": [
+  {
+   "cell_type": "code",
+   "execution_count": 1,
+   "id": "fa9c1378-c372-4979-81aa-51b3189073d9",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "python version     : 3.12.2\n",
+      "numpy version      : 1.26.4\n",
+      "pandas version     : 2.2.3\n",
+      "matplotlib version : 3.10.0\n",
+      "seaborn version    : 0.13.2\n"
+     ]
+    }
+   ],
+   "source": [
+    "import pandas as pd\n",
+    "import numpy as np\n",
+    "import matplotlib\n",
+    "import matplotlib.pyplot as plt\n",
+    "from matplotlib import colors\n",
+    "import seaborn as sns\n",
+    "import json\n",
+    "import platform\n",
+    "import ast\n",
+    "from itertools import permutations,product\n",
+    "from ast import literal_eval\n",
+    "import os\n",
+    "from os import listdir\n",
+    "from os.path import isfile, join\n",
+    "\n",
+    "# Custom modules.\n",
+    "os.chdir(\"../../../causal_arc\")\n",
+    "from carc_utils import UtilsARC\n",
+    "from carc_augment import AugmentARC\n",
+    "from carc import CausalARC\n",
+    "from carc_tasks_logical import TaskLogical\n",
+    "\n",
+    "# View versioning.\n",
+    "print(\"python version     :\", platform.python_version())\n",
+    "print(\"numpy version      :\", np.__version__)\n",
+    "print(\"pandas version     :\", pd.__version__)\n",
+    "print(\"matplotlib version :\", matplotlib.__version__)\n",
+    "print(\"seaborn version    :\", sns.__version__)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 2,
+   "id": "235289fb-6c90-47c8-a08f-0dffb7325337",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "os.chdir(\"../data/static_evaluation_set/v0_09-01-25/\")"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 3,
+   "id": "9643e5b3-6c04-43b5-a9da-72504b70b89b",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "['causal_arc_logical_or.json', 'causal_arc_logical_compose.json', 'causal_arc_logical_alternate.json', 'causal_arc_logical_25x25.json', 'causal_arc_logical_xor.json', 'causal_arc_logical_solutions.json', 'causal_arc_logical_and.json']\n"
+     ]
+    }
+   ],
+   "source": [
+    "# Load JSON files.\n",
+    "counting_file = \"counting/causal_arc_counting.json\"\n",
+    "with open(counting_file) as json_file:\n",
+    "    counting_dict = json.load(json_file)\n",
+    "\n",
+    "extension_file = \"extension/causal_arc_extension.json\"\n",
+    "with open(extension_file) as json_file:\n",
+    "    extension_dict = json.load(json_file)\n",
+    "\n",
+    "ordering_file = \"ordering/causal_arc_ordering.json\"\n",
+    "with open(ordering_file) as json_file:\n",
+    "    ordering_dict = json.load(json_file)\n",
+    "\n",
+    "# Logical tasks.\n",
+    "path = \"logical/\"\n",
+    "logical_files = [f for f in listdir(path) if isfile(join(path, f))]\n",
+    "print(logical_files)\n",
+    "logical_dicts = []\n",
+    "for f in logical_files:\n",
+    "    if \"solutions\" not in f:\n",
+    "        with open(path+f) as json_file:\n",
+    "            logical_dicts.append(json.load(json_file))"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 4,
+   "id": "a8378519-f675-4954-9338-68a2156bd04c",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "dict_keys(['SCMm5ob_10x10', 'SCMm5ob_15x15', 'SCMm5ob_20x20', 'SCMev5t_10x10', 'SCMev5t_15x15', 'SCMev5t_20x20', 'SCMfuy3', 'SCMhlh2', 'SCM43rz', 'SCM95ls'])"
+      ]
+     },
+     "execution_count": 4,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "counting_dict.keys()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 5,
+   "id": "42b4b59b-3fa6-4657-99aa-5c01baa833ba",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "#logical_dicts[0]"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "fc29f390-7ec8-4d11-b984-8687599b6f0d",
+   "metadata": {},
+   "source": [
+    "# Counting"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 6,
+   "id": "b9453aec-e917-4bae-af91-28faa5c8d935",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "def SCMm5ob(colors: list):\n",
+      "            p = [0.8]+[0.05]*4\n",
+      "            x = np.random.choice(colors, size = size, replace = True, p = p)\n",
+      "            \n",
+      "            counts = np.unique(x, return_counts = True)\n",
+      "            y = np.zeros((np.max(counts[1][1:]), 4)).astype(int)\n",
+      "            counts = dict(zip(counts[0], counts[1]))\n",
+      "            for color,count in counts.items():\n",
+      "                if color > 0:\n",
+      "                    y[-count:,colors.index(color)-1] = color\n",
+      "            return x,y\n",
+      "        \n",
+      "\n",
+      "def SCMm5ob(colors: list):\n",
+      "            p = [0.8]+[0.05]*4\n",
+      "            x = np.random.choice(colors, size = size, replace = True, p = p)\n",
+      "            \n",
+      "            counts = np.unique(x, return_counts = True)\n",
+      "            y = np.zeros((np.max(counts[1][1:]), 4)).astype(int)\n",
+      "            counts = dict(zip(counts[0], counts[1]))\n",
+      "            for color,count in counts.items():\n",
+      "                if color > 0:\n",
+      "                    y[-count:,colors.index(color)-1] = color\n",
+      "            return x,y\n",
+      "        \n",
+      "\n",
+      "def SCMm5ob(colors: list):\n",
+      "            p = [0.8]+[0.05]*4\n",
+      "            x = np.random.choice(colors, size = size, replace = True, p = p)\n",
+      "            \n",
+      "            counts = np.unique(x, return_counts = True)\n",
+      "            y = np.zeros((np.max(counts[1][1:]), 4)).astype(int)\n",
+      "            counts = dict(zip(counts[0], counts[1]))\n",
+      "            for color,count in counts.items():\n",
+      "                if color > 0:\n",
+      "                    y[-count:,colors.index(color)-1] = color\n",
+      "            return x,y\n",
+      "        \n",
+      "\n",
+      "def SCMev5t(colors: list, size: tuple = (10,10)):\n",
+      "            n_per_color = np.random.choice([1,2,3], size = len(colors))\n",
+      "            true_n_per_color = [x for x in n_per_color]\n",
+      "            x = np.zeros(size).astype(int)\n",
+      "            for i in range(len(colors)):\n",
+      "                for n in range(n_per_color[i]):\n",
+      "                    try:\n",
+      "                        random_size = np.random.choice([2,3], size = 2)\n",
+      "                        sprite = np.ones(random_size).astype(int)*colors[i]\n",
+      "                        x = self.a.add_sprite(x, sprite = sprite)\n",
+      "                    except:\n",
+      "                        if true_n_per_color[i] == 0:\n",
+      "                            pass\n",
+      "                        else: \n",
+      "                            true_n_per_color[i] -= 1\n",
+      "\n",
+      "            sorted_vals = sorted(zip(true_n_per_color,colors))\n",
+      "            sorted_vals = [x for x in sorted_vals if x[0] > 0]\n",
+      "            y = np.zeros((len(sorted_vals), max(true_n_per_color))).astype(int)\n",
+      "            for i in range(len(sorted_vals)):\n",
+      "                y[i,:sorted_vals[i][0]] = sorted_vals[i][1]\n",
+      "            return x,y\n",
+      "        \n",
+      "\n",
+      "def SCMev5t(colors: list, size: tuple = (10,10)):\n",
+      "            n_per_color = np.random.choice([1,2,3], size = len(colors))\n",
+      "            true_n_per_color = [x for x in n_per_color]\n",
+      "            x = np.zeros(size).astype(int)\n",
+      "            for i in range(len(colors)):\n",
+      "                for n in range(n_per_color[i]):\n",
+      "                    try:\n",
+      "                        random_size = np.random.choice([2,3], size = 2)\n",
+      "                        sprite = np.ones(random_size).astype(int)*colors[i]\n",
+      "                        x = self.a.add_sprite(x, sprite = sprite)\n",
+      "                    except:\n",
+      "                        if true_n_per_color[i] == 0:\n",
+      "                            pass\n",
+      "                        else: \n",
+      "                            true_n_per_color[i] -= 1\n",
+      "\n",
+      "            sorted_vals = sorted(zip(true_n_per_color,colors))\n",
+      "            sorted_vals = [x for x in sorted_vals if x[0] > 0]\n",
+      "            y = np.zeros((len(sorted_vals), max(true_n_per_color))).astype(int)\n",
+      "            for i in range(len(sorted_vals)):\n",
+      "                y[i,:sorted_vals[i][0]] = sorted_vals[i][1]\n",
+      "            return x,y\n",
+      "        \n",
+      "\n",
+      "def SCMev5t(colors: list, size: tuple = (10,10)):\n",
+      "            n_per_color = np.random.choice([1,2,3], size = len(colors))\n",
+      "            true_n_per_color = [x for x in n_per_color]\n",
+      "            x = np.zeros(size).astype(int)\n",
+      "            for i in range(len(colors)):\n",
+      "                for n in range(n_per_color[i]):\n",
+      "                    try:\n",
+      "                        random_size = np.random.choice([2,3], size = 2)\n",
+      "                        sprite = np.ones(random_size).astype(int)*colors[i]\n",
+      "                        x = self.a.add_sprite(x, sprite = sprite)\n",
+      "                    except:\n",
+      "                        if true_n_per_color[i] == 0:\n",
+      "                            pass\n",
+      "                        else: \n",
+      "                            true_n_per_color[i] -= 1\n",
+      "\n",
+      "            sorted_vals = sorted(zip(true_n_per_color,colors))\n",
+      "            sorted_vals = [x for x in sorted_vals if x[0] > 0]\n",
+      "            y = np.zeros((len(sorted_vals), max(true_n_per_color))).astype(int)\n",
+      "            for i in range(len(sorted_vals)):\n",
+      "                y[i,:sorted_vals[i][0]] = sorted_vals[i][1]\n",
+      "            return x,y\n",
+      "        \n",
+      "\n",
+      "def SCMfuy3():\n",
+      "            size = (3,3)\n",
+      "            half = total_colors//2\n",
+      "            colors = np.random.choice(list(range(1,10)), replace = False, size = half).tolist()\n",
+      "            not_in = [x for x in list(range(1,10)) if x not in colors]\n",
+      "            most_freq_color = np.random.choice(not_in, replace = False, size = 1)[0]\n",
+      "            most_freq = [most_freq_color for i in range(half)]\n",
+      "            colors = colors + most_freq\n",
+      "            random.shuffle(colors)\n",
+      "            u_list = [np.random.binomial(n = 1, p = 0.85, size = size) for i in range(len(colors))]\n",
+      "            x = [u_list[i]*colors[i] for i in range(len(colors))]\n",
+      "            x = [np.pad(z, pad_width = 1) for z in x]\n",
+      "            x = np.concatenate(x, axis = 1)\n",
+      "            y = [np.pad(np.ones((1,1)),pad_width=1)*colors[i] if colors[i] != most_freq_color else np.ones(size)*most_freq_color for i in range(len(colors))]\n",
+      "            y = np.concatenate(y, axis = 0)\n",
+      "            return x,y\n",
+      "        \n",
+      "\n",
+      "def SCMhlh2():\n",
+      "            size = np.random.choice(range(3,10), size = 2)\n",
+      "            colors = np.random.choice(range(2,10), size = 2, replace = False)\n",
+      "            _u = np.random.binomial(n = 1, p = 0.8, size = size)\n",
+      "            x = _u.copy()\n",
+      "            count = x[0,0]+x[-1,0]+x[0,-1]+x[-1,-1]\n",
+      "            x[0,0] = x[0,0]*colors[0]\n",
+      "            x[-1,0] = x[-1,0]*colors[0]\n",
+      "            x[0,-1] = x[0,-1]*colors[0]\n",
+      "            x[-1,-1] = x[-1,-1]*colors[0]\n",
+      "            x[x.shape[0]//2,x.shape[1]//2] = colors[1]\n",
+      "            y = np.ones((1,count)).astype(int)*colors[1]\n",
+      "            return x,y\n",
+      "        \n",
+      "\n",
+      "def SCM43rz():\n",
+      "            colors = np.random.choice([1,2,3,4], size = 2, replace = False)\n",
+      "            u1 = np.random.binomial(n = 1, size = (5,5), p = 0.5)\n",
+      "            u2 = np.random.binomial(n = 1, size = (5,5), p = 0.5)\n",
+      "            x = u1*colors[0] + u2*colors[1]\n",
+      "            x = np.pad(x, pad_width = 2)\n",
+      "            counts = np.unique(x, return_counts = True)\n",
+      "            # Getting sorted indices.\n",
+      "            idx = np.argsort(counts[1]) \n",
+      "            # Sorting both lists.\n",
+      "            colors = [counts[0][i] for i in idx] \n",
+      "            counts = [counts[1][i] for i in idx] \n",
+      "            least_freq = [colors[i] for i in range(len(colors)) if counts[i] == min(counts)]\n",
+      "            y = np.array(least_freq).reshape(-1,1)\n",
+      "            return x,y\n",
+      "        \n",
+      "\n",
+      "def SCM95ls():\n",
+      "            sprites = []\n",
+      "            n = np.random.choice([2,3,4], size = 1)[0]\n",
+      "            colors = np.random.choice([1,2,3,4,6,7,8,9], size = n, replace = False)\n",
+      "            for i in range(n):\n",
+      "                sprite = np.random.binomial(n = 1, size = (3,3), p = 0.8)*colors[i]\n",
+      "                sprite = np.pad(sprite, pad_width = 1)\n",
+      "                sprites.append(sprite)\n",
+      "            x = np.concatenate(sprites, axis = 1)\n",
+      "            y = np.concatenate([np.repeat(s,n,axis=1) for s in sprites], axis = 1)\n",
+      "            return x,y\n",
+      "        \n",
+      "\n"
+     ]
+    }
+   ],
+   "source": [
+    "for task,task_dict in counting_dict.items():\n",
+    "    scm_name = task.split(\"_\")[0]\n",
+    "    scm = task_dict[\"scm\"].replace(\"get_xy\", scm_name)\n",
+    "    scm = scm.replace(\"\\n    def\", \"def\")\n",
+    "    scm = scm.replace(\"(colors):\", \"(colors: list):\")\n",
+    "    task_dict[\"scm\"] = scm\n",
+    "    print(scm)\n",
+    "    print()"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "14540505-61f9-4898-bbcb-80364c8726f7",
+   "metadata": {},
+   "source": [
+    "# Extension"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 7,
+   "id": "d3a4cd94-cff9-4a1c-b796-14130c900de2",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "def SCMfwpq(colors: list = [6,7,4], size: tuple = (8,8)):\n",
+      "            _u = np.random.binomial(n = 1, p = 0.25, size = size)\n",
+      "            x = colors[0]*_u\n",
+      "            for i in range(x.shape[0]):\n",
+      "                if i % modulo == 0:\n",
+      "                    x[i,0] = colors[1]\n",
+      "            y = x.copy()\n",
+      "            for i in range(y.shape[0]):\n",
+      "                for j in range(y.shape[1]):\n",
+      "                    if (i % modulo == 0) and (x[i,j] == 0):\n",
+      "                        y[i,j] = colors[1]\n",
+      "                    elif (i % modulo == 0) and (x[i,j] == colors[0]):\n",
+      "                        y[i,j] = colors[2]\n",
+      "                    else:\n",
+      "                        y[i,j] = x[i,j]\n",
+      "            return x,y\n",
+      "        \n",
+      "\n",
+      "def SCMig1o(colors: list = [6,7,4], size: tuple = (10,10), modulo: int = 5):\n",
+      "            _u = np.random.binomial(n = 1, p = 0.25, size = size)\n",
+      "            x = colors[0]*_u\n",
+      "            for i in range(x.shape[1]):\n",
+      "                if i % modulo == 0:\n",
+      "                    x[0,i] = colors[1]\n",
+      "            y = x.copy()\n",
+      "            for i in range(y.shape[0]):\n",
+      "                for j in range(y.shape[1]):\n",
+      "                    if (j % modulo == 0) and (x[i,j] == 0):\n",
+      "                        y[i,j] = colors[1]\n",
+      "                    elif (j % modulo == 0) and (x[i,j] == colors[0]):\n",
+      "                        y[i,j] = colors[2]\n",
+      "                    else:\n",
+      "                        y[i,j] = x[i,j]\n",
+      "            return x,y\n",
+      "        \n",
+      "\n",
+      "def SCMz750(size: tuple = (10,10)):\n",
+      "            x = np.random.choice(range(10), p = [0.955]+[0.005]*9, size = size)\n",
+      "            y = x.copy()\n",
+      "            for i in range(y.shape[0]):\n",
+      "                for j in range(y.shape[1]):\n",
+      "                    if x[i,j] != 0:\n",
+      "                        y[i,:j] = x[i,j] \n",
+      "                        y[:i,j] = x[i,j]\n",
+      "                    else:\n",
+      "                        y[i,j] = x[i,j] \n",
+      "            return x,y\n",
+      "        \n",
+      "\n",
+      "def SCMz750(size: tuple = (10,10)):\n",
+      "            x = np.random.choice(range(10), p = [0.955]+[0.005]*9, size = size)\n",
+      "            y = x.copy()\n",
+      "            for i in range(y.shape[0]):\n",
+      "                for j in range(y.shape[1]):\n",
+      "                    if x[i,j] != 0:\n",
+      "                        y[i,:j] = x[i,j] \n",
+      "                        y[:i,j] = x[i,j]\n",
+      "                    else:\n",
+      "                        y[i,j] = x[i,j] \n",
+      "            return x,y\n",
+      "        \n",
+      "\n",
+      "def SCMz750(size: tuple = (10,10)):\n",
+      "            x = np.random.choice(range(10), p = [0.955]+[0.005]*9, size = size)\n",
+      "            y = x.copy()\n",
+      "            for i in range(y.shape[0]):\n",
+      "                for j in range(y.shape[1]):\n",
+      "                    if x[i,j] != 0:\n",
+      "                        y[i,:j] = x[i,j] \n",
+      "                        y[:i,j] = x[i,j]\n",
+      "                    else:\n",
+      "                        y[i,j] = x[i,j] \n",
+      "            return x,y\n",
+      "        \n",
+      "\n",
+      "def SCM6cjq(size: tuple = (10,10)):\n",
+      "            u1 = np.random.binomial(n = 1, p = 0.2, size = size)\n",
+      "            u2 = np.random.binomial(n = 1, p = 0.1, size = size)\n",
+      "            x = 6*u1 + u2\n",
+      "            y = x.copy()\n",
+      "            orange = np.argwhere(y==7)\n",
+      "            for idx in orange:\n",
+      "                y[idx[0]+1:,idx[1]] = 4\n",
+      "                y[idx[0],idx[1]] = 3\n",
+      "            return x,y\n",
+      "        \n",
+      "\n",
+      "def SCMesea(size: tuple = (10,10), x: np.array = None):\n",
+      "            if x is None:\n",
+      "                _u = np.random.binomial(n = 1, p = 0.1, size = size)*5\n",
+      "                x = np.random.choice(range(10), p = [0.91]+[0.01]*9, size = size)\n",
+      "                x = x+_u\n",
+      "            y = x.copy()\n",
+      "            for i in range(y.shape[0]):\n",
+      "                for j in reversed(range(y.shape[1])):\n",
+      "                    if y[i,j] not in [0,5]:\n",
+      "                        y[i,j:] = x[i,j]\n",
+      "                    else:\n",
+      "                        y[i,j] = x[i,j] \n",
+      "            return x,y\n",
+      "        \n",
+      "\n",
+      "def SCMesea(size: tuple = (10,10), x: np.array = None):\n",
+      "            if x is None:\n",
+      "                _u = np.random.binomial(n = 1, p = 0.1, size = size)*5\n",
+      "                x = np.random.choice(range(10), p = [0.91]+[0.01]*9, size = size)\n",
+      "                x = x+_u\n",
+      "            y = x.copy()\n",
+      "            for i in range(y.shape[0]):\n",
+      "                for j in reversed(range(y.shape[1])):\n",
+      "                    if y[i,j] not in [0,5]:\n",
+      "                        y[i,j:] = x[i,j]\n",
+      "                    else:\n",
+      "                        y[i,j] = x[i,j] \n",
+      "            return x,y\n",
+      "        \n",
+      "\n",
+      "def SCMwoev(size: tuple = (10,10), x: np.array = None):\n",
+      "            if x is None:\n",
+      "                _u = np.random.binomial(n = 1, p = 0.05, size = size)*5\n",
+      "                x = np.random.choice(range(10), p = [0.955]+[0.005]*9, size = size)\n",
+      "                x = x+_u\n",
+      "            y = x.copy()\n",
+      "            for i in range(y.shape[0]):\n",
+      "                not_black = np.argwhere(y[i,:]>0)\n",
+      "                for idx_list in not_black:\n",
+      "                    for idx in idx_list:\n",
+      "                        if x[i,idx] != 5:\n",
+      "                            y[i,idx:] = x[i,idx]\n",
+      "            return x,y\n",
+      "        \n",
+      "\n",
+      "def SCMwoev(size: tuple = (10,10), x: np.array = None):\n",
+      "            if x is None:\n",
+      "                _u = np.random.binomial(n = 1, p = 0.05, size = size)*5\n",
+      "                x = np.random.choice(range(10), p = [0.955]+[0.005]*9, size = size)\n",
+      "                x = x+_u\n",
+      "            y = x.copy()\n",
+      "            for i in range(y.shape[0]):\n",
+      "                not_black = np.argwhere(y[i,:]>0)\n",
+      "                for idx_list in not_black:\n",
+      "                    for idx in idx_list:\n",
+      "                        if x[i,idx] != 5:\n",
+      "                            y[i,idx:] = x[i,idx]\n",
+      "            return x,y\n",
+      "        \n",
+      "\n"
+     ]
+    }
+   ],
+   "source": [
+    "for task,task_dict in extension_dict.items():\n",
+    "    scm_name = task.split(\"!\")[0]\n",
+    "    scm = task_dict[\"scm\"].replace(\"get_xy\", scm_name)\n",
+    "    scm = scm.replace(\"\\n        def\", \"def\")\n",
+    "    scm = scm.replace(\"(colors):\", \"(colors: list):\")\n",
+    "    task_dict[\"scm\"] = scm\n",
+    "    print(scm)\n",
+    "    print()"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "02b2d14a-7a44-474c-81c6-6b79eb890677",
+   "metadata": {},
+   "source": [
+    "# Ordering"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 8,
+   "id": "3e13266e-8f99-4ee9-b528-f7e186195565",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "def SCMv4bg(size: tuple = (10,9)):\n",
+      "            _u = np.random.binomial(n = 1, p = 0.6, size = size)\n",
+      "            x = 9*_u\n",
+      "            y = x.copy()\n",
+      "            for j in range(y.shape[1]):\n",
+      "                y[:,j][y[:,j] == 0] = j\n",
+      "            return x,y\n",
+      "        \n",
+      "\n",
+      "def SCMv4bg(size: tuple = (10,9)):\n",
+      "            _u = np.random.binomial(n = 1, p = 0.6, size = size)\n",
+      "            x = 9*_u\n",
+      "            y = x.copy()\n",
+      "            for j in range(y.shape[1]):\n",
+      "                y[:,j][y[:,j] == 0] = j\n",
+      "            return x,y\n",
+      "        \n",
+      "\n",
+      "def SCMye7g(n: int = 10):\n",
+      "            size = (n-2,n)\n",
+      "            colors = list(range(1,10))\n",
+      "            order = np.random.choice(colors, \n",
+      "                                     size = 3, #np.random.randint(low = 3, high = 7),\n",
+      "                                     replace = False)\n",
+      "            final_row = list(order)+[0]*(n-len(order))\n",
+      "            \n",
+      "            x = np.zeros(size).astype(int)\n",
+      "            for i in range(0,size[0],2):\n",
+      "                j = np.random.randint(low = 0, high = size[1])\n",
+      "                x[i,j] = np.random.choice(order, size = 1)[0]\n",
+      "            x = np.concatenate((x,np.zeros((1,n)))).astype(int)\n",
+      "            x = np.concatenate((x,np.array(final_row).reshape(1,-1)), axis = 0)\n",
+      "            \n",
+      "            y = x.copy()\n",
+      "            for i in range(y.shape[0]):\n",
+      "                for j in range(y.shape[1]):\n",
+      "                    if y[i,j] == 0:\n",
+      "                        continue\n",
+      "                    elif y[i,j] == order[0]:\n",
+      "                        try:\n",
+      "                            y[i,j+1] = order[1]\n",
+      "                            y[i,j+2] = order[2]\n",
+      "                        except:\n",
+      "                            pass\n",
+      "                    elif y[i,j] == order[1]:\n",
+      "                        try:\n",
+      "                            y[i,j+1] = order[2]\n",
+      "                            y[i,j-1] = order[0]\n",
+      "                        except:\n",
+      "                            pass\n",
+      "                    elif y[i,j] == order[2]:\n",
+      "                        try:\n",
+      "                            y[i,j-1] = order[1]\n",
+      "                            y[i,j-2] = order[0]\n",
+      "                        except:\n",
+      "                            pass\n",
+      "            return x,y\n",
+      "        \n",
+      "\n",
+      "def SCMye7g(n: int = 10):\n",
+      "            size = (n-2,n)\n",
+      "            colors = list(range(1,10))\n",
+      "            order = np.random.choice(colors, \n",
+      "                                     size = 3, #np.random.randint(low = 3, high = 7),\n",
+      "                                     replace = False)\n",
+      "            final_row = list(order)+[0]*(n-len(order))\n",
+      "            \n",
+      "            x = np.zeros(size).astype(int)\n",
+      "            for i in range(0,size[0],2):\n",
+      "                j = np.random.randint(low = 0, high = size[1])\n",
+      "                x[i,j] = np.random.choice(order, size = 1)[0]\n",
+      "            x = np.concatenate((x,np.zeros((1,n)))).astype(int)\n",
+      "            x = np.concatenate((x,np.array(final_row).reshape(1,-1)), axis = 0)\n",
+      "            \n",
+      "            y = x.copy()\n",
+      "            for i in range(y.shape[0]):\n",
+      "                for j in range(y.shape[1]):\n",
+      "                    if y[i,j] == 0:\n",
+      "                        continue\n",
+      "                    elif y[i,j] == order[0]:\n",
+      "                        try:\n",
+      "                            y[i,j+1] = order[1]\n",
+      "                            y[i,j+2] = order[2]\n",
+      "                        except:\n",
+      "                            pass\n",
+      "                    elif y[i,j] == order[1]:\n",
+      "                        try:\n",
+      "                            y[i,j+1] = order[2]\n",
+      "                            y[i,j-1] = order[0]\n",
+      "                        except:\n",
+      "                            pass\n",
+      "                    elif y[i,j] == order[2]:\n",
+      "                        try:\n",
+      "                            y[i,j-1] = order[1]\n",
+      "                            y[i,j-2] = order[0]\n",
+      "                        except:\n",
+      "                            pass\n",
+      "            return x,y\n",
+      "        \n",
+      "\n",
+      "def SCMye7g(n: int = 10):\n",
+      "            size = (n-2,n)\n",
+      "            colors = list(range(1,10))\n",
+      "            order = np.random.choice(colors, \n",
+      "                                     size = 3, #np.random.randint(low = 3, high = 7),\n",
+      "                                     replace = False)\n",
+      "            final_row = list(order)+[0]*(n-len(order))\n",
+      "            \n",
+      "            x = np.zeros(size).astype(int)\n",
+      "            for i in range(0,size[0],2):\n",
+      "                j = np.random.randint(low = 0, high = size[1])\n",
+      "                x[i,j] = np.random.choice(order, size = 1)[0]\n",
+      "            x = np.concatenate((x,np.zeros((1,n)))).astype(int)\n",
+      "            x = np.concatenate((x,np.array(final_row).reshape(1,-1)), axis = 0)\n",
+      "            \n",
+      "            y = x.copy()\n",
+      "            for i in range(y.shape[0]):\n",
+      "                for j in range(y.shape[1]):\n",
+      "                    if y[i,j] == 0:\n",
+      "                        continue\n",
+      "                    elif y[i,j] == order[0]:\n",
+      "                        try:\n",
+      "                            y[i,j+1] = order[1]\n",
+      "                            y[i,j+2] = order[2]\n",
+      "                        except:\n",
+      "                            pass\n",
+      "                    elif y[i,j] == order[1]:\n",
+      "                        try:\n",
+      "                            y[i,j+1] = order[2]\n",
+      "                            y[i,j-1] = order[0]\n",
+      "                        except:\n",
+      "                            pass\n",
+      "                    elif y[i,j] == order[2]:\n",
+      "                        try:\n",
+      "                            y[i,j-1] = order[1]\n",
+      "                            y[i,j-2] = order[0]\n",
+      "                        except:\n",
+      "                            pass\n",
+      "            return x,y\n",
+      "        \n",
+      "\n",
+      "def SCMswcs(n: int = 4):\n",
+      "            input_grids = []\n",
+      "            output_grids = []\n",
+      "            for i in range(n):\n",
+      "                _u = np.random.choice(list(range(1,10)), size = (2,2), replace = False)\n",
+      "                x = np.pad(_u, pad_width = 1)\n",
+      "                y = x.copy()\n",
+      "                y[0,0] = x[1,1]\n",
+      "                y[3,0] = x[2,1]\n",
+      "                y[0,3] = x[1,2]\n",
+      "                y[3,3] = x[2,2]\n",
+      "                input_grids.append(x)\n",
+      "                output_grids.append(y)\n",
+      "            x = np.concatenate(input_grids, axis = 1)\n",
+      "            y = np.concatenate(output_grids, axis = 1)\n",
+      "            return x,y\n",
+      "        \n",
+      "\n",
+      "def SCMtzlq(n: int = 8, size: tuple = (20,20)):\n",
+      "            sprites = []\n",
+      "            order_row = np.zeros((2,size[1])).astype(int)\n",
+      "            order = np.random.choice(range(1,10), size = n, replace = False)\n",
+      "            order_row[1,:n] = order\n",
+      "            \n",
+      "            x = np.zeros((size[0]-2,size[1])).astype(int)\n",
+      "            for i in range(n):\n",
+      "                sprite = np.random.binomial(n = 1, size = (3,3), p = 0.8)*order[i]\n",
+      "                sprites.append(sprite)\n",
+      "                x = self.a.add_sprite(input_grid = x, sprite = sprite)\n",
+      "            x = np.concatenate((x,order_row))\n",
+      "            y = np.concatenate(sprites, axis = 1)\n",
+      "            return x,y\n",
+      "        \n",
+      "\n",
+      "def SCMtzlq(n: int = 8, size: tuple = (20,20)):\n",
+      "            sprites = []\n",
+      "            order_row = np.zeros((2,size[1])).astype(int)\n",
+      "            order = np.random.choice(range(1,10), size = n, replace = False)\n",
+      "            order_row[1,:n] = order\n",
+      "            \n",
+      "            x = np.zeros((size[0]-2,size[1])).astype(int)\n",
+      "            for i in range(n):\n",
+      "                sprite = np.random.binomial(n = 1, size = (3,3), p = 0.8)*order[i]\n",
+      "                sprites.append(sprite)\n",
+      "                x = self.a.add_sprite(input_grid = x, sprite = sprite)\n",
+      "            x = np.concatenate((x,order_row))\n",
+      "            y = np.concatenate(sprites, axis = 1)\n",
+      "            return x,y\n",
+      "        \n",
+      "\n",
+      "def SCMtzlq(n: int = 8, size: tuple = (20,20)):\n",
+      "            sprites = []\n",
+      "            order_row = np.zeros((2,size[1])).astype(int)\n",
+      "            order = np.random.choice(range(1,10), size = n, replace = False)\n",
+      "            order_row[1,:n] = order\n",
+      "            \n",
+      "            x = np.zeros((size[0]-2,size[1])).astype(int)\n",
+      "            for i in range(n):\n",
+      "                sprite = np.random.binomial(n = 1, size = (3,3), p = 0.8)*order[i]\n",
+      "                sprites.append(sprite)\n",
+      "                x = self.a.add_sprite(input_grid = x, sprite = sprite)\n",
+      "            x = np.concatenate((x,order_row))\n",
+      "            y = np.concatenate(sprites, axis = 1)\n",
+      "            return x,y\n",
+      "        \n",
+      "\n",
+      "def SCMffb8():\n",
+      "            sprite_sizes = [1,2,3,4]\n",
+      "            order = np.random.choice([1,2,3,4,6,7,8,9], size = 4, replace = False)\n",
+      "            order_rows = np.zeros((4,size[1])).astype(int)\n",
+      "            order_rows[-1,0] = order[0]\n",
+      "            order_rows[-2:,1] = order[1]\n",
+      "            order_rows[-3:,2] = order[2]\n",
+      "            order_rows[-4:,3] = order[3]\n",
+      "            x = np.zeros((size[0]-4,size[1])).astype(int)\n",
+      "            sprites = []\n",
+      "            for i in range(len(sprite_sizes)):\n",
+      "                if sprite_sizes[i] == 1:\n",
+      "                    sprite = np.array([[order[i]]])\n",
+      "                elif sprite_sizes[i] == 2:\n",
+      "                    sprite = np.ones((2,2)).astype(int)*order[i]\n",
+      "                else:\n",
+      "                    sprite = np.random.binomial(n = 1, size = (sprite_sizes[i],sprite_sizes[i]), p = 0.8)*order[i]\n",
+      "                sprites.append(sprite)\n",
+      "                x = self.a.add_sprite(input_grid = x, sprite = sprite)\n",
+      "            y = x.copy()\n",
+      "            for color in order:\n",
+      "                x[x==color] = 5\n",
+      "            x = np.concatenate((x,order_rows))\n",
+      "            return x,y\n",
+      "        \n",
+      "\n"
+     ]
+    }
+   ],
+   "source": [
+    "for task,task_dict in ordering_dict.items():\n",
+    "    scm_name = task.split(\"!\")[0]\n",
+    "    scm = task_dict[\"scm\"].replace(\"get_xy\", scm_name)\n",
+    "    scm = scm.replace(\"\\n        def\", \"def\")\n",
+    "    scm = scm.replace(\"(colors):\", \"(colors: list):\")\n",
+    "    task_dict[\"scm\"] = scm\n",
+    "    print(scm)\n",
+    "    print()"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "105df615-908d-4051-9979-118ee3e88305",
+   "metadata": {},
+   "source": [
+    "# Logical"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 9,
+   "id": "a38acd71-7174-4813-aec7-57c5889ce219",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "SCMdky5!or10x10\n",
+      "def get_xy(upper_color,lower_color,output_color,size):\n",
+      "\tupper = np.random.choice([0,upper_color], size = size)\n",
+      "\tlower = np.random.choice([0,lower_color], size = size)\n",
+      "\tx = np.concatenate((upper,lower), axis = 0).astype(int)\n",
+      "\ty = np.logical_or(upper,lower).astype(int)\n",
+      "\ty *= output_color\n",
+      "\treturn x,y\n",
+      "SCMdky5!or15x15\n",
+      "def get_xy(upper_color,lower_color,output_color,size):\n",
+      "\tupper = np.random.choice([0,upper_color], size = size)\n",
+      "\tlower = np.random.choice([0,lower_color], size = size)\n",
+      "\tx = np.concatenate((upper,lower), axis = 0).astype(int)\n",
+      "\ty = np.logical_or(upper,lower).astype(int)\n",
+      "\ty *= output_color\n",
+      "\treturn x,y\n",
+      "SCMdky5!or20x20\n",
+      "def get_xy(upper_color,lower_color,output_color,size):\n",
+      "\tupper = np.random.choice([0,upper_color], size = size)\n",
+      "\tlower = np.random.choice([0,lower_color], size = size)\n",
+      "\tx = np.concatenate((upper,lower), axis = 0).astype(int)\n",
+      "\ty = np.logical_or(upper,lower).astype(int)\n",
+      "\ty *= output_color\n",
+      "\treturn x,y\n",
+      "SCMtcbq!xor!or!4x4\n",
+      "\n",
+      "        def get_xy(upper: np.array = None, middle: np.array = None, lower: np.array = None):\n",
+      "            # Used when there is no intervention.\n",
+      "            if upper is None:\n",
+      "                upper = np.random.choice([0,upper_color], size = size)\n",
+      "            if middle is None:\n",
+      "                middle = np.random.choice([0,middle_color], size = size)\n",
+      "            if lower is None:\n",
+      "                lower = np.random.choice([0,lower_color], size = size)\n",
+      "            # Get x.\n",
+      "            x = np.concatenate((upper,middle,lower), axis = 0).astype(int)\n",
+      "            # Get y.\n",
+      "            y = fun_0(upper,middle).astype(int)\n",
+      "            y = fun_1(y,lower).astype(int)\n",
+      "            y *= output_color\n",
+      "            return x,y,(upper,middle,lower)\n",
+      "        \n",
+      "SCMtcbq!xor!or!8x8\n",
+      "\n",
+      "        def get_xy(upper: np.array = None, middle: np.array = None, lower: np.array = None):\n",
+      "            # Used when there is no intervention.\n",
+      "            if upper is None:\n",
+      "                upper = np.random.choice([0,upper_color], size = size)\n",
+      "            if middle is None:\n",
+      "                middle = np.random.choice([0,middle_color], size = size)\n",
+      "            if lower is None:\n",
+      "                lower = np.random.choice([0,lower_color], size = size)\n",
+      "            # Get x.\n",
+      "            x = np.concatenate((upper,middle,lower), axis = 0).astype(int)\n",
+      "            # Get y.\n",
+      "            y = fun_0(upper,middle).astype(int)\n",
+      "            y = fun_1(y,lower).astype(int)\n",
+      "            y *= output_color\n",
+      "            return x,y,(upper,middle,lower)\n",
+      "        \n",
+      "SCMtcbq!or!and!4x4\n",
+      "\n",
+      "        def get_xy(upper: np.array = None, middle: np.array = None, lower: np.array = None):\n",
+      "            # Used when there is no intervention.\n",
+      "            if upper is None:\n",
+      "                upper = np.random.choice([0,upper_color], size = size)\n",
+      "            if middle is None:\n",
+      "                middle = np.random.choice([0,middle_color], size = size)\n",
+      "            if lower is None:\n",
+      "                lower = np.random.choice([0,lower_color], size = size)\n",
+      "            # Get x.\n",
+      "            x = np.concatenate((upper,middle,lower), axis = 0).astype(int)\n",
+      "            # Get y.\n",
+      "            y = fun_0(upper,middle).astype(int)\n",
+      "            y = fun_1(y,lower).astype(int)\n",
+      "            y *= output_color\n",
+      "            return x,y,(upper,middle,lower)\n",
+      "        \n",
+      "SCMtcbq!or!and!8x8\n",
+      "\n",
+      "        def get_xy(upper: np.array = None, middle: np.array = None, lower: np.array = None):\n",
+      "            # Used when there is no intervention.\n",
+      "            if upper is None:\n",
+      "                upper = np.random.choice([0,upper_color], size = size)\n",
+      "            if middle is None:\n",
+      "                middle = np.random.choice([0,middle_color], size = size)\n",
+      "            if lower is None:\n",
+      "                lower = np.random.choice([0,lower_color], size = size)\n",
+      "            # Get x.\n",
+      "            x = np.concatenate((upper,middle,lower), axis = 0).astype(int)\n",
+      "            # Get y.\n",
+      "            y = fun_0(upper,middle).astype(int)\n",
+      "            y = fun_1(y,lower).astype(int)\n",
+      "            y *= output_color\n",
+      "            return x,y,(upper,middle,lower)\n",
+      "        \n",
+      "SCMu3am!and!xor!axis0!4x4\n",
+      "\n",
+      "        def get_xy(upper: np.array = None, lower: np.array = None):\n",
+      "            # Used when there is no intervention.\n",
+      "            if upper is None:\n",
+      "                upper = np.random.choice([0,upper_color], size = size)\n",
+      "            if lower is None:\n",
+      "                lower = np.random.choice([0,lower_color], size = size)\n",
+      "\n",
+      "            # Get x and y.\n",
+      "            x = np.concatenate((upper,lower), axis = 0).astype(int)\n",
+      "            y = np.zeros(size).astype(int)\n",
+      "            for i in range(y.shape[0]):\n",
+      "                for j in range(y.shape[1]):\n",
+      "                    if alternate_axis:\n",
+      "                        if j % 2 == 0:\n",
+      "                            y[i,j] = fun_0(upper[i,j],lower[i,j]).astype(int)\n",
+      "                        else:\n",
+      "                            y[i,j] = fun_1(upper[i,j],lower[i,j]).astype(int)\n",
+      "                    else:\n",
+      "                        if i % 2 == 0:\n",
+      "                            y[i,j] = fun_0(upper[i,j],lower[i,j]).astype(int)\n",
+      "                        else:\n",
+      "                            y[i,j] = fun_1(upper[i,j],lower[i,j]).astype(int)\n",
+      "            y *= output_color\n",
+      "            return x,y,(upper,lower)\n",
+      "        \n",
+      "SCMu3am!and!xor!axis0!8x8\n",
+      "\n",
+      "        def get_xy(upper: np.array = None, lower: np.array = None):\n",
+      "            # Used when there is no intervention.\n",
+      "            if upper is None:\n",
+      "                upper = np.random.choice([0,upper_color], size = size)\n",
+      "            if lower is None:\n",
+      "                lower = np.random.choice([0,lower_color], size = size)\n",
+      "\n",
+      "            # Get x and y.\n",
+      "            x = np.concatenate((upper,lower), axis = 0).astype(int)\n",
+      "            y = np.zeros(size).astype(int)\n",
+      "            for i in range(y.shape[0]):\n",
+      "                for j in range(y.shape[1]):\n",
+      "                    if alternate_axis:\n",
+      "                        if j % 2 == 0:\n",
+      "                            y[i,j] = fun_0(upper[i,j],lower[i,j]).astype(int)\n",
+      "                        else:\n",
+      "                            y[i,j] = fun_1(upper[i,j],lower[i,j]).astype(int)\n",
+      "                    else:\n",
+      "                        if i % 2 == 0:\n",
+      "                            y[i,j] = fun_0(upper[i,j],lower[i,j]).astype(int)\n",
+      "                        else:\n",
+      "                            y[i,j] = fun_1(upper[i,j],lower[i,j]).astype(int)\n",
+      "            y *= output_color\n",
+      "            return x,y,(upper,lower)\n",
+      "        \n",
+      "SCMu3am!xor!or!axis1!4x4\n",
+      "\n",
+      "        def get_xy(upper: np.array = None, lower: np.array = None):\n",
+      "            # Used when there is no intervention.\n",
+      "            if upper is None:\n",
+      "                upper = np.random.choice([0,upper_color], size = size)\n",
+      "            if lower is None:\n",
+      "                lower = np.random.choice([0,lower_color], size = size)\n",
+      "\n",
+      "            # Get x and y.\n",
+      "            x = np.concatenate((upper,lower), axis = 0).astype(int)\n",
+      "            y = np.zeros(size).astype(int)\n",
+      "            for i in range(y.shape[0]):\n",
+      "                for j in range(y.shape[1]):\n",
+      "                    if alternate_axis:\n",
+      "                        if j % 2 == 0:\n",
+      "                            y[i,j] = fun_0(upper[i,j],lower[i,j]).astype(int)\n",
+      "                        else:\n",
+      "                            y[i,j] = fun_1(upper[i,j],lower[i,j]).astype(int)\n",
+      "                    else:\n",
+      "                        if i % 2 == 0:\n",
+      "                            y[i,j] = fun_0(upper[i,j],lower[i,j]).astype(int)\n",
+      "                        else:\n",
+      "                            y[i,j] = fun_1(upper[i,j],lower[i,j]).astype(int)\n",
+      "            y *= output_color\n",
+      "            return x,y,(upper,lower)\n",
+      "        \n",
+      "SCMu3am!xor!or!axis1!8x8\n",
+      "\n",
+      "        def get_xy(upper: np.array = None, lower: np.array = None):\n",
+      "            # Used when there is no intervention.\n",
+      "            if upper is None:\n",
+      "                upper = np.random.choice([0,upper_color], size = size)\n",
+      "            if lower is None:\n",
+      "                lower = np.random.choice([0,lower_color], size = size)\n",
+      "\n",
+      "            # Get x and y.\n",
+      "            x = np.concatenate((upper,lower), axis = 0).astype(int)\n",
+      "            y = np.zeros(size).astype(int)\n",
+      "            for i in range(y.shape[0]):\n",
+      "                for j in range(y.shape[1]):\n",
+      "                    if alternate_axis:\n",
+      "                        if j % 2 == 0:\n",
+      "                            y[i,j] = fun_0(upper[i,j],lower[i,j]).astype(int)\n",
+      "                        else:\n",
+      "                            y[i,j] = fun_1(upper[i,j],lower[i,j]).astype(int)\n",
+      "                    else:\n",
+      "                        if i % 2 == 0:\n",
+      "                            y[i,j] = fun_0(upper[i,j],lower[i,j]).astype(int)\n",
+      "                        else:\n",
+      "                            y[i,j] = fun_1(upper[i,j],lower[i,j]).astype(int)\n",
+      "            y *= output_color\n",
+      "            return x,y,(upper,lower)\n",
+      "        \n",
+      "SCMdky5!and25x25\n",
+      "def get_xy(upper_color,lower_color,output_color,size):\n",
+      "\tupper = np.random.choice([0,upper_color], size = size)\n",
+      "\tlower = np.random.choice([0,lower_color], size = size)\n",
+      "\tx = np.concatenate((upper,lower), axis = 0).astype(int)\n",
+      "\ty = np.logical_and(upper,lower).astype(int)\n",
+      "\ty *= output_color\n",
+      "\treturn x,y\n",
+      "SCMdky5!or25x25\n",
+      "def get_xy(upper_color,lower_color,output_color,size):\n",
+      "\tupper = np.random.choice([0,upper_color], size = size)\n",
+      "\tlower = np.random.choice([0,lower_color], size = size)\n",
+      "\tx = np.concatenate((upper,lower), axis = 0).astype(int)\n",
+      "\ty = np.logical_or(upper,lower).astype(int)\n",
+      "\ty *= output_color\n",
+      "\treturn x,y\n",
+      "SCMdky5!xor25x25\n",
+      "def get_xy(upper_color,lower_color,output_color,size):\n",
+      "\tupper = np.random.choice([0,upper_color], size = size)\n",
+      "\tlower = np.random.choice([0,lower_color], size = size)\n",
+      "\tx = np.concatenate((upper,lower), axis = 0).astype(int)\n",
+      "\ty = np.logical_xor(upper,lower).astype(int)\n",
+      "\ty *= output_color\n",
+      "\treturn x,y\n",
+      "SCMdky5!xor10x10\n",
+      "def get_xy(upper_color,lower_color,output_color,size):\n",
+      "\tupper = np.random.choice([0,upper_color], size = size)\n",
+      "\tlower = np.random.choice([0,lower_color], size = size)\n",
+      "\tx = np.concatenate((upper,lower), axis = 0).astype(int)\n",
+      "\ty = np.logical_xor(upper,lower).astype(int)\n",
+      "\ty *= output_color\n",
+      "\treturn x,y\n",
+      "SCMdky5!xor15x15\n",
+      "def get_xy(upper_color,lower_color,output_color,size):\n",
+      "\tupper = np.random.choice([0,upper_color], size = size)\n",
+      "\tlower = np.random.choice([0,lower_color], size = size)\n",
+      "\tx = np.concatenate((upper,lower), axis = 0).astype(int)\n",
+      "\ty = np.logical_xor(upper,lower).astype(int)\n",
+      "\ty *= output_color\n",
+      "\treturn x,y\n",
+      "SCMdky5!xor20x20\n",
+      "def get_xy(upper_color,lower_color,output_color,size):\n",
+      "\tupper = np.random.choice([0,upper_color], size = size)\n",
+      "\tlower = np.random.choice([0,lower_color], size = size)\n",
+      "\tx = np.concatenate((upper,lower), axis = 0).astype(int)\n",
+      "\ty = np.logical_xor(upper,lower).astype(int)\n",
+      "\ty *= output_color\n",
+      "\treturn x,y\n",
+      "SCMdky5!and10x10\n",
+      "def get_xy(upper_color,lower_color,output_color,size):\n",
+      "\tupper = np.random.choice([0,upper_color], size = size)\n",
+      "\tlower = np.random.choice([0,lower_color], size = size)\n",
+      "\tx = np.concatenate((upper,lower), axis = 0).astype(int)\n",
+      "\ty = np.logical_and(upper,lower).astype(int)\n",
+      "\ty *= output_color\n",
+      "\treturn x,y\n",
+      "SCMdky5!and15x15\n",
+      "def get_xy(upper_color,lower_color,output_color,size):\n",
+      "\tupper = np.random.choice([0,upper_color], size = size)\n",
+      "\tlower = np.random.choice([0,lower_color], size = size)\n",
+      "\tx = np.concatenate((upper,lower), axis = 0).astype(int)\n",
+      "\ty = np.logical_and(upper,lower).astype(int)\n",
+      "\ty *= output_color\n",
+      "\treturn x,y\n",
+      "SCMdky5!and20x20\n",
+      "def get_xy(upper_color,lower_color,output_color,size):\n",
+      "\tupper = np.random.choice([0,upper_color], size = size)\n",
+      "\tlower = np.random.choice([0,lower_color], size = size)\n",
+      "\tx = np.concatenate((upper,lower), axis = 0).astype(int)\n",
+      "\ty = np.logical_and(upper,lower).astype(int)\n",
+      "\ty *= output_color\n",
+      "\treturn x,y\n"
+     ]
+    }
+   ],
+   "source": [
+    "# Consolidate.\n",
+    "all_logical_dict = dict()\n",
+    "\n",
+    "# Rename tasks.\n",
+    "for d in logical_dicts:\n",
+    "    for task,task_dict in d.items():\n",
+    "        if \"SCMdky5\" in task:\n",
+    "            task_name = task.replace(\"SCMdky5\", \"SCMdky5!\")\n",
+    "        else:\n",
+    "            task_name = task\n",
+    "        all_logical_dict[task_name] = task_dict\n",
+    "        print(task_name)\n",
+    "        print(task_dict[\"scm\"])"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 10,
+   "id": "ad661853-a0aa-4733-8a63-ddef98179cf1",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "SCMdky5\n",
+      "def SCMdky5(upper_color,lower_color,output_color,size):\n",
+      "\tupper = np.random.choice([0,upper_color], size = size)\n",
+      "\tlower = np.random.choice([0,lower_color], size = size)\n",
+      "\tx = np.concatenate((upper,lower), axis = 0).astype(int)\n",
+      "\ty = np.logical_or(upper,lower).astype(int)\n",
+      "\ty *= output_color\n",
+      "\treturn x,y\n",
+      "\n",
+      "SCMdky5\n",
+      "def SCMdky5(upper_color,lower_color,output_color,size):\n",
+      "\tupper = np.random.choice([0,upper_color], size = size)\n",
+      "\tlower = np.random.choice([0,lower_color], size = size)\n",
+      "\tx = np.concatenate((upper,lower), axis = 0).astype(int)\n",
+      "\ty = np.logical_or(upper,lower).astype(int)\n",
+      "\ty *= output_color\n",
+      "\treturn x,y\n",
+      "\n",
+      "SCMdky5\n",
+      "def SCMdky5(upper_color,lower_color,output_color,size):\n",
+      "\tupper = np.random.choice([0,upper_color], size = size)\n",
+      "\tlower = np.random.choice([0,lower_color], size = size)\n",
+      "\tx = np.concatenate((upper,lower), axis = 0).astype(int)\n",
+      "\ty = np.logical_or(upper,lower).astype(int)\n",
+      "\ty *= output_color\n",
+      "\treturn x,y\n",
+      "\n",
+      "SCMtcbq\n",
+      "def SCMtcbq(upper: np.array = None, middle: np.array = None, lower: np.array = None):\n",
+      "            # Used when there is no intervention.\n",
+      "            if upper is None:\n",
+      "                upper = np.random.choice([0,upper_color], size = size)\n",
+      "            if middle is None:\n",
+      "                middle = np.random.choice([0,middle_color], size = size)\n",
+      "            if lower is None:\n",
+      "                lower = np.random.choice([0,lower_color], size = size)\n",
+      "            # Get x.\n",
+      "            x = np.concatenate((upper,middle,lower), axis = 0).astype(int)\n",
+      "            # Get y.\n",
+      "            y = fun_0(upper,middle).astype(int)\n",
+      "            y = fun_1(y,lower).astype(int)\n",
+      "            y *= output_color\n",
+      "            return x,y,(upper,middle,lower)\n",
+      "        \n",
+      "\n",
+      "SCMtcbq\n",
+      "def SCMtcbq(upper: np.array = None, middle: np.array = None, lower: np.array = None):\n",
+      "            # Used when there is no intervention.\n",
+      "            if upper is None:\n",
+      "                upper = np.random.choice([0,upper_color], size = size)\n",
+      "            if middle is None:\n",
+      "                middle = np.random.choice([0,middle_color], size = size)\n",
+      "            if lower is None:\n",
+      "                lower = np.random.choice([0,lower_color], size = size)\n",
+      "            # Get x.\n",
+      "            x = np.concatenate((upper,middle,lower), axis = 0).astype(int)\n",
+      "            # Get y.\n",
+      "            y = fun_0(upper,middle).astype(int)\n",
+      "            y = fun_1(y,lower).astype(int)\n",
+      "            y *= output_color\n",
+      "            return x,y,(upper,middle,lower)\n",
+      "        \n",
+      "\n",
+      "SCMtcbq\n",
+      "def SCMtcbq(upper: np.array = None, middle: np.array = None, lower: np.array = None):\n",
+      "            # Used when there is no intervention.\n",
+      "            if upper is None:\n",
+      "                upper = np.random.choice([0,upper_color], size = size)\n",
+      "            if middle is None:\n",
+      "                middle = np.random.choice([0,middle_color], size = size)\n",
+      "            if lower is None:\n",
+      "                lower = np.random.choice([0,lower_color], size = size)\n",
+      "            # Get x.\n",
+      "            x = np.concatenate((upper,middle,lower), axis = 0).astype(int)\n",
+      "            # Get y.\n",
+      "            y = fun_0(upper,middle).astype(int)\n",
+      "            y = fun_1(y,lower).astype(int)\n",
+      "            y *= output_color\n",
+      "            return x,y,(upper,middle,lower)\n",
+      "        \n",
+      "\n",
+      "SCMtcbq\n",
+      "def SCMtcbq(upper: np.array = None, middle: np.array = None, lower: np.array = None):\n",
+      "            # Used when there is no intervention.\n",
+      "            if upper is None:\n",
+      "                upper = np.random.choice([0,upper_color], size = size)\n",
+      "            if middle is None:\n",
+      "                middle = np.random.choice([0,middle_color], size = size)\n",
+      "            if lower is None:\n",
+      "                lower = np.random.choice([0,lower_color], size = size)\n",
+      "            # Get x.\n",
+      "            x = np.concatenate((upper,middle,lower), axis = 0).astype(int)\n",
+      "            # Get y.\n",
+      "            y = fun_0(upper,middle).astype(int)\n",
+      "            y = fun_1(y,lower).astype(int)\n",
+      "            y *= output_color\n",
+      "            return x,y,(upper,middle,lower)\n",
+      "        \n",
+      "\n",
+      "SCMu3am\n",
+      "def SCMu3am(upper: np.array = None, lower: np.array = None):\n",
+      "            # Used when there is no intervention.\n",
+      "            if upper is None:\n",
+      "                upper = np.random.choice([0,upper_color], size = size)\n",
+      "            if lower is None:\n",
+      "                lower = np.random.choice([0,lower_color], size = size)\n",
+      "\n",
+      "            # Get x and y.\n",
+      "            x = np.concatenate((upper,lower), axis = 0).astype(int)\n",
+      "            y = np.zeros(size).astype(int)\n",
+      "            for i in range(y.shape[0]):\n",
+      "                for j in range(y.shape[1]):\n",
+      "                    if alternate_axis:\n",
+      "                        if j % 2 == 0:\n",
+      "                            y[i,j] = fun_0(upper[i,j],lower[i,j]).astype(int)\n",
+      "                        else:\n",
+      "                            y[i,j] = fun_1(upper[i,j],lower[i,j]).astype(int)\n",
+      "                    else:\n",
+      "                        if i % 2 == 0:\n",
+      "                            y[i,j] = fun_0(upper[i,j],lower[i,j]).astype(int)\n",
+      "                        else:\n",
+      "                            y[i,j] = fun_1(upper[i,j],lower[i,j]).astype(int)\n",
+      "            y *= output_color\n",
+      "            return x,y,(upper,lower)\n",
+      "        \n",
+      "\n",
+      "SCMu3am\n",
+      "def SCMu3am(upper: np.array = None, lower: np.array = None):\n",
+      "            # Used when there is no intervention.\n",
+      "            if upper is None:\n",
+      "                upper = np.random.choice([0,upper_color], size = size)\n",
+      "            if lower is None:\n",
+      "                lower = np.random.choice([0,lower_color], size = size)\n",
+      "\n",
+      "            # Get x and y.\n",
+      "            x = np.concatenate((upper,lower), axis = 0).astype(int)\n",
+      "            y = np.zeros(size).astype(int)\n",
+      "            for i in range(y.shape[0]):\n",
+      "                for j in range(y.shape[1]):\n",
+      "                    if alternate_axis:\n",
+      "                        if j % 2 == 0:\n",
+      "                            y[i,j] = fun_0(upper[i,j],lower[i,j]).astype(int)\n",
+      "                        else:\n",
+      "                            y[i,j] = fun_1(upper[i,j],lower[i,j]).astype(int)\n",
+      "                    else:\n",
+      "                        if i % 2 == 0:\n",
+      "                            y[i,j] = fun_0(upper[i,j],lower[i,j]).astype(int)\n",
+      "                        else:\n",
+      "                            y[i,j] = fun_1(upper[i,j],lower[i,j]).astype(int)\n",
+      "            y *= output_color\n",
+      "            return x,y,(upper,lower)\n",
+      "        \n",
+      "\n",
+      "SCMu3am\n",
+      "def SCMu3am(upper: np.array = None, lower: np.array = None):\n",
+      "            # Used when there is no intervention.\n",
+      "            if upper is None:\n",
+      "                upper = np.random.choice([0,upper_color], size = size)\n",
+      "            if lower is None:\n",
+      "                lower = np.random.choice([0,lower_color], size = size)\n",
+      "\n",
+      "            # Get x and y.\n",
+      "            x = np.concatenate((upper,lower), axis = 0).astype(int)\n",
+      "            y = np.zeros(size).astype(int)\n",
+      "            for i in range(y.shape[0]):\n",
+      "                for j in range(y.shape[1]):\n",
+      "                    if alternate_axis:\n",
+      "                        if j % 2 == 0:\n",
+      "                            y[i,j] = fun_0(upper[i,j],lower[i,j]).astype(int)\n",
+      "                        else:\n",
+      "                            y[i,j] = fun_1(upper[i,j],lower[i,j]).astype(int)\n",
+      "                    else:\n",
+      "                        if i % 2 == 0:\n",
+      "                            y[i,j] = fun_0(upper[i,j],lower[i,j]).astype(int)\n",
+      "                        else:\n",
+      "                            y[i,j] = fun_1(upper[i,j],lower[i,j]).astype(int)\n",
+      "            y *= output_color\n",
+      "            return x,y,(upper,lower)\n",
+      "        \n",
+      "\n",
+      "SCMu3am\n",
+      "def SCMu3am(upper: np.array = None, lower: np.array = None):\n",
+      "            # Used when there is no intervention.\n",
+      "            if upper is None:\n",
+      "                upper = np.random.choice([0,upper_color], size = size)\n",
+      "            if lower is None:\n",
+      "                lower = np.random.choice([0,lower_color], size = size)\n",
+      "\n",
+      "            # Get x and y.\n",
+      "            x = np.concatenate((upper,lower), axis = 0).astype(int)\n",
+      "            y = np.zeros(size).astype(int)\n",
+      "            for i in range(y.shape[0]):\n",
+      "                for j in range(y.shape[1]):\n",
+      "                    if alternate_axis:\n",
+      "                        if j % 2 == 0:\n",
+      "                            y[i,j] = fun_0(upper[i,j],lower[i,j]).astype(int)\n",
+      "                        else:\n",
+      "                            y[i,j] = fun_1(upper[i,j],lower[i,j]).astype(int)\n",
+      "                    else:\n",
+      "                        if i % 2 == 0:\n",
+      "                            y[i,j] = fun_0(upper[i,j],lower[i,j]).astype(int)\n",
+      "                        else:\n",
+      "                            y[i,j] = fun_1(upper[i,j],lower[i,j]).astype(int)\n",
+      "            y *= output_color\n",
+      "            return x,y,(upper,lower)\n",
+      "        \n",
+      "\n",
+      "SCMdky5\n",
+      "def SCMdky5(upper_color,lower_color,output_color,size):\n",
+      "\tupper = np.random.choice([0,upper_color], size = size)\n",
+      "\tlower = np.random.choice([0,lower_color], size = size)\n",
+      "\tx = np.concatenate((upper,lower), axis = 0).astype(int)\n",
+      "\ty = np.logical_and(upper,lower).astype(int)\n",
+      "\ty *= output_color\n",
+      "\treturn x,y\n",
+      "\n",
+      "SCMdky5\n",
+      "def SCMdky5(upper_color,lower_color,output_color,size):\n",
+      "\tupper = np.random.choice([0,upper_color], size = size)\n",
+      "\tlower = np.random.choice([0,lower_color], size = size)\n",
+      "\tx = np.concatenate((upper,lower), axis = 0).astype(int)\n",
+      "\ty = np.logical_or(upper,lower).astype(int)\n",
+      "\ty *= output_color\n",
+      "\treturn x,y\n",
+      "\n",
+      "SCMdky5\n",
+      "def SCMdky5(upper_color,lower_color,output_color,size):\n",
+      "\tupper = np.random.choice([0,upper_color], size = size)\n",
+      "\tlower = np.random.choice([0,lower_color], size = size)\n",
+      "\tx = np.concatenate((upper,lower), axis = 0).astype(int)\n",
+      "\ty = np.logical_xor(upper,lower).astype(int)\n",
+      "\ty *= output_color\n",
+      "\treturn x,y\n",
+      "\n",
+      "SCMdky5\n",
+      "def SCMdky5(upper_color,lower_color,output_color,size):\n",
+      "\tupper = np.random.choice([0,upper_color], size = size)\n",
+      "\tlower = np.random.choice([0,lower_color], size = size)\n",
+      "\tx = np.concatenate((upper,lower), axis = 0).astype(int)\n",
+      "\ty = np.logical_xor(upper,lower).astype(int)\n",
+      "\ty *= output_color\n",
+      "\treturn x,y\n",
+      "\n",
+      "SCMdky5\n",
+      "def SCMdky5(upper_color,lower_color,output_color,size):\n",
+      "\tupper = np.random.choice([0,upper_color], size = size)\n",
+      "\tlower = np.random.choice([0,lower_color], size = size)\n",
+      "\tx = np.concatenate((upper,lower), axis = 0).astype(int)\n",
+      "\ty = np.logical_xor(upper,lower).astype(int)\n",
+      "\ty *= output_color\n",
+      "\treturn x,y\n",
+      "\n",
+      "SCMdky5\n",
+      "def SCMdky5(upper_color,lower_color,output_color,size):\n",
+      "\tupper = np.random.choice([0,upper_color], size = size)\n",
+      "\tlower = np.random.choice([0,lower_color], size = size)\n",
+      "\tx = np.concatenate((upper,lower), axis = 0).astype(int)\n",
+      "\ty = np.logical_xor(upper,lower).astype(int)\n",
+      "\ty *= output_color\n",
+      "\treturn x,y\n",
+      "\n",
+      "SCMdky5\n",
+      "def SCMdky5(upper_color,lower_color,output_color,size):\n",
+      "\tupper = np.random.choice([0,upper_color], size = size)\n",
+      "\tlower = np.random.choice([0,lower_color], size = size)\n",
+      "\tx = np.concatenate((upper,lower), axis = 0).astype(int)\n",
+      "\ty = np.logical_and(upper,lower).astype(int)\n",
+      "\ty *= output_color\n",
+      "\treturn x,y\n",
+      "\n",
+      "SCMdky5\n",
+      "def SCMdky5(upper_color,lower_color,output_color,size):\n",
+      "\tupper = np.random.choice([0,upper_color], size = size)\n",
+      "\tlower = np.random.choice([0,lower_color], size = size)\n",
+      "\tx = np.concatenate((upper,lower), axis = 0).astype(int)\n",
+      "\ty = np.logical_and(upper,lower).astype(int)\n",
+      "\ty *= output_color\n",
+      "\treturn x,y\n",
+      "\n",
+      "SCMdky5\n",
+      "def SCMdky5(upper_color,lower_color,output_color,size):\n",
+      "\tupper = np.random.choice([0,upper_color], size = size)\n",
+      "\tlower = np.random.choice([0,lower_color], size = size)\n",
+      "\tx = np.concatenate((upper,lower), axis = 0).astype(int)\n",
+      "\ty = np.logical_and(upper,lower).astype(int)\n",
+      "\ty *= output_color\n",
+      "\treturn x,y\n",
+      "\n"
+     ]
+    }
+   ],
+   "source": [
+    "# Update SCMs.\n",
+    "for task,task_dict in all_logical_dict.items():\n",
+    "    scm_name = task.split(\"!\")[0]\n",
+    "    print(scm_name)\n",
+    "    scm = task_dict[\"scm\"].replace(\"get_xy\", scm_name)\n",
+    "    scm = scm.replace(\"\\n        def\", \"def\")\n",
+    "    scm = scm.replace(\"(colors):\", \"(colors: list):\")\n",
+    "    task_dict[\"scm\"] = scm\n",
+    "    print(scm)\n",
+    "    print()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 11,
+   "id": "952db1ff-2129-467c-a51a-c4b701d5f45f",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "20"
+      ]
+     },
+     "execution_count": 11,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "len(all_logical_dict.keys())"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 12,
+   "id": "f8cd20d7-fc19-4937-93fc-9b1f0ab40fc7",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "dict_keys(['SCMdky5!or10x10', 'SCMdky5!or15x15', 'SCMdky5!or20x20', 'SCMtcbq!xor!or!4x4', 'SCMtcbq!xor!or!8x8', 'SCMtcbq!or!and!4x4', 'SCMtcbq!or!and!8x8', 'SCMu3am!and!xor!axis0!4x4', 'SCMu3am!and!xor!axis0!8x8', 'SCMu3am!xor!or!axis1!4x4', 'SCMu3am!xor!or!axis1!8x8', 'SCMdky5!and25x25', 'SCMdky5!or25x25', 'SCMdky5!xor25x25', 'SCMdky5!xor10x10', 'SCMdky5!xor15x15', 'SCMdky5!xor20x20', 'SCMdky5!and10x10', 'SCMdky5!and15x15', 'SCMdky5!and20x20'])"
+      ]
+     },
+     "execution_count": 12,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "all_logical_dict.keys()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 13,
+   "id": "7cdad951-5e03-4958-aa2b-e59943381f38",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "dict_keys(['scm', 'latex', 'test', 'parent_to_children_dict', 'directed_adjacency_matrix', 'train'])"
+      ]
+     },
+     "execution_count": 13,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "all_logical_dict[\"SCMdky5!or10x10\"].keys()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 14,
+   "id": "42dcc008-b868-4546-bff8-a53e86ebc4fe",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "dict_keys(['input', 'output'])"
+      ]
+     },
+     "execution_count": 14,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "all_logical_dict[\"SCMdky5!or10x10\"][\"test\"][0].keys()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 15,
+   "id": "124bc679-9326-42e3-946f-f063699905a0",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "/Users/jmaasch/Desktop/cornell/causal_arc/data/static_evaluation_set/v0_09-01-25\n"
+     ]
+    }
+   ],
+   "source": [
+    "!pwd"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "85eb7f27-0001-4e5d-8576-a88157674401",
+   "metadata": {},
+   "source": [
+    "# Export"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 18,
+   "id": "a992a9fe-70c9-4649-918c-dbf7fce67f4b",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# Export tasks.\n",
+    "with open(\"processed/causal_arc_logical.json\", \"w\") as f:\n",
+    "    json.dump(all_logical_dict, f, indent = 4) # indent for readability.\n",
+    "\n",
+    "# Export solutions file.\n",
+    "logical_solutions = dict()\n",
+    "for task,d in all_logical_dict.items():\n",
+    "    test_output = d[\"test\"][0].get(\"output\")\n",
+    "    logical_solutions[task] = [test_output]\n",
+    "with open('processed/causal_arc_logical_solutions.json', 'w') as f:\n",
+    "    json.dump(logical_solutions, f, indent = 4) # indent for readability."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 22,
+   "id": "d64367b8-660d-4b77-9f7c-176a02d3c6ae",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "20"
+      ]
+     },
+     "execution_count": 22,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "len(logical_solutions.keys())"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 19,
+   "id": "d220fcbc-7cd9-4b58-86df-9b06f065af92",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# Export tasks.\n",
+    "with open(\"processed/causal_arc_counting.json\", \"w\") as f:\n",
+    "    json.dump(counting_dict, f, indent = 4) # indent for readability."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 20,
+   "id": "44a40f70-bc74-4d13-9dd5-bb07682f3f00",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# Export tasks.\n",
+    "with open(\"processed/causal_arc_extension.json\", \"w\") as f:\n",
+    "    json.dump(extension_dict, f, indent = 4) # indent for readability."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 21,
+   "id": "fe2f7af0-62bc-4fc3-9beb-7cda0e11adf7",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# Export tasks.\n",
+    "with open(\"processed/causal_arc_ordering.json\", \"w\") as f:\n",
+    "    json.dump(ordering_dict, f, indent = 4) # indent for readability."
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "aa60c0b1-5c10-4371-a944-31cd4407b86a",
+   "metadata": {},
+   "source": [
+    "# End of document"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "5eb51244-151f-4ee0-a3db-cd4cc05c87c0",
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "hf",
+   "language": "python",
+   "name": "hf"
+  },
+  "language_info": {
+   "codemirror_mode": {
+    "name": "ipython",
+    "version": 3
+   },
+   "file_extension": ".py",
+   "mimetype": "text/x-python",
+   "name": "python",
+   "nbconvert_exporter": "python",
+   "pygments_lexer": "ipython3",
+   "version": "3.12.2"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 5
+}
diff --git a/static_evaluation_set/v0_09-01-25/counting/causal_arc_counting.json b/static_evaluation_set/v0_09-01-25/counting/causal_arc_counting.json
new file mode 100644
index 0000000000000000000000000000000000000000..514166a6cab075a40e69adcf33dd0279945096ab
--- /dev/null
+++ b/static_evaluation_set/v0_09-01-25/counting/causal_arc_counting.json
@@ -0,0 +1,139723 @@
+{
+    "SCMm5ob_10x10": {
+        "scm": "def SCMm5ob(colors: list):\n            p = [0.8]+[0.05]*4\n            x = np.random.choice(colors, size = size, replace = True, p = p)\n            \n            counts = np.unique(x, return_counts = True)\n            y = np.zeros((np.max(counts[1][1:]), 4)).astype(int)\n            counts = dict(zip(counts[0], counts[1]))\n            for color,count in counts.items():\n                if color > 0:\n                    y[-count:,colors.index(color)-1] = color\n            return x,y\n        ",
+        "test": [
+            {
+                "input": [
+                    [
+                        0,
+                        0,
+                        4,
+                        0,
+                        0,
+                        7,
+                        0,
+                        2,
+                        0,
+                        1
+                    ],
+                    [
+                        0,
+                        1,
+                        0,
+                        0,
+                        4,
+                        2,
+                        0,
+                        0,
+                        0,
+                        0
+                    ],
+                    [
+                        4,
+                        0,
+                        1,
+                        0,
+                        0,
+                        0,
+                        4,
+                        0,
+                        0,
+                        2
+                    ],
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+                        0,
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+                        0,
+                        0,
+                        2,
+                        0,
+                        0
+                    ],
+                    [
+                        1,
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+                        0,
+                        0,
+                        0,
+                        0,
+                        2,
+                        0,
+                        0
+                    ],
+                    [
+                        0,
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+                        0,
+                        0,
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+                        0,
+                        0,
+                        0,
+                        0
+                    ],
+                    [
+                        0,
+                        0,
+                        0,
+                        0,
+                        0,
+                        2,
+                        0,
+                        0,
+                        4,
+                        0
+                    ],
+                    [
+                        0,
+                        0,
+                        0,
+                        0,
+                        0,
+                        0,
+                        0,
+                        0,
+                        0,
+                        1
+                    ],
+                    [
+                        0,
+                        0,
+                        0,
+                        0,
+                        0,
+                        0,
+                        0,
+                        0,
+                        0,
+                        0
+                    ],
+                    [
+                        1,
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+                        0,
+                        0,
+                        0,
+                        0,
+                        2,
+                        0,
+                        0,
+                        0
+                    ]
+                ],
+                "output": [
+                    [
+                        2,
+                        0,
+                        0,
+                        0
+                    ],
+                    [
+                        2,
+                        0,
+                        0,
+                        1
+                    ],
+                    [
+                        2,
+                        0,
+                        0,
+                        1
+                    ],
+                    [
+                        2,
+                        0,
+                        4,
+                        1
+                    ],
+                    [
+                        2,
+                        0,
+                        4,
+                        1
+                    ],
+                    [
+                        2,
+                        0,
+                        4,
+                        1
+                    ],
+                    [
+                        2,
+                        7,
+                        4,
+                        1
+                    ],
+                    [
+                        2,
+                        7,
+                        4,
+                        1
+                    ]
+                ]
+            }
+        ],
+        "train": [
+            {
+                "input": [
+                    [
+                        2,
+                        0,
+                        7,
+                        0,
+                        4,
+                        0,
+                        0,
+                        2,
+                        0,
+                        0
+                    ],
+                    [
+                        0,
+                        0,
+                        4,
+                        0,
+                        0,
+                        0,
+                        2,
+                        0,
+                        0,
+                        0
+                    ],
+                    [
+                        0,
+                        0,
+                        0,
+                        1,
+                        0,
+                        0,
+                        0,
+                        1,
+                        1,
+                        0
+                    ],
+                    [
+                        0,
+                        0,
+                        0,
+                        0,
+                        0,
+                        0,
+                        0,
+                        0,
+                        0,
+                        0
+                    ],
+                    [
+                        1,
+                        0,
+                        0,
+                        0,
+                        0,
+                        0,
+                        0,
+                        0,
+                        0,
+                        0
+                    ],
+                    [
+                        2,
+                        0,
+                        0,
+                        0,
+                        0,
+                        0,
+                        0,
+                        0,
+                        0,
+                        0
+                    ],
+                    [
+                        0,
+                        0,
+                        0,
+                        0,
+                        0,
+                        0,
+                        0,
+                        0,
+                        0,
+                        7
+                    ],
+                    [
+                        0,
+                        0,
+                        0,
+                        1,
+                        0,
+                        0,
+                        0,
+                        0,
+                        4,
+                        0
+                    ],
+                    [
+                        0,
+                        0,
+                        0,
+                        0,
+                        0,
+                        7,
+                        7,
+                        0,
+                        0,
+                        1
+                    ],
+                    [
+                        0,
+                        4,
+                        0,
+                        4,
+                        0,
+                        0,
+                        0,
+                        0,
+                        0,
+                        0
+                    ]
+                ],
+                "output": [
+                    [
+                        0,
+                        0,
+                        0,
+                        1
+                    ],
+                    [
+                        0,
+                        0,
+                        4,
+                        1
+                    ],
+                    [
+                        2,
+                        7,
+                        4,
+                        1
+                    ],
+                    [
+                        2,
+                        7,
+                        4,
+                        1
+                    ],
+                    [
+                        2,
+                        7,
+                        4,
+                        1
+                    ],
+                    [
+                        2,
+                        7,
+                        4,
+                        1
+                    ]
+                ],
+                "cf_types": [
+                    "do_hard (color 2 = 0)",
+                    "do_hard (color 7 = 0)",
+                    "do_hard (color 4 = 0)",
+                    "do_hard (color 1 = 0)",
+                    "do_soft (color 0 = 6)",
+                    "do_soft (color 2 = 3)",
+                    "do_soft (color 7 = 5)",
+                    "do_soft (color 4 = 8)",
+                    "do_soft (geometric transform = flipud)",
+                    "do_soft (geometric transform = fliplr)",
+                    "do_soft (geometric transform = rot90)"
+                ],
+                "cf_inputs": [
+                    [
+                        [
+                            0,
+                            0,
+                            7,
+                            0,
+                            4,
+                            0,
+                            0,
+                            0,
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+                        ],
+                        [
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+                            0,
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+                        ],
+                        [
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+                            7,
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+                        ],
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+                            4,
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+                        ]
+                    ],
+                    [
+                        [
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+                        ],
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+                        ],
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+                        ],
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+                        [
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+                    [
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+                        [
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+                    ],
+                    [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                        [
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+                            1
+                        ]
+                    ],
+                    [
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+                            7,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            7,
+                            0,
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+                        ],
+                        [
+                            0,
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+                            0,
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+                        ],
+                        [
+                            0,
+                            7,
+                            0,
+                            1
+                        ],
+                        [
+                            0,
+                            7,
+                            4,
+                            1
+                        ],
+                        [
+                            0,
+                            7,
+                            4,
+                            1
+                        ],
+                        [
+                            0,
+                            7,
+                            4,
+                            1
+                        ],
+                        [
+                            0,
+                            7,
+                            4,
+                            1
+                        ],
+                        [
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+                            7,
+                            4,
+                            1
+                        ],
+                        [
+                            2,
+                            7,
+                            4,
+                            1
+                        ]
+                    ]
+                ]
+            }
+        ]
+    },
+    "SCMm5ob_15x15": {
+        "scm": "def SCMm5ob(colors: list):\n            p = [0.8]+[0.05]*4\n            x = np.random.choice(colors, size = size, replace = True, p = p)\n            \n            counts = np.unique(x, return_counts = True)\n            y = np.zeros((np.max(counts[1][1:]), 4)).astype(int)\n            counts = dict(zip(counts[0], counts[1]))\n            for color,count in counts.items():\n                if color > 0:\n                    y[-count:,colors.index(color)-1] = color\n            return x,y\n        ",
+        "test": [
+            {
+                "input": [
+                    [
+                        2,
+                        0,
+                        0,
+                        0,
+                        0,
+                        7,
+                        2,
+                        0,
+                        0,
+                        0,
+                        0,
+                        0,
+                        0,
+                        0,
+                        0
+                    ],
+                    [
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+                        0,
+                        0,
+                        2,
+                        0,
+                        0,
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+                        7,
+                        0,
+                        7,
+                        0,
+                        0
+                    ],
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+                        0,
+                        0,
+                        0,
+                        0,
+                        0,
+                        0,
+                        0,
+                        0,
+                        0,
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+                        0,
+                        0,
+                        0
+                    ],
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+                        1,
+                        0,
+                        0,
+                        0,
+                        0,
+                        0,
+                        0,
+                        0,
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+                        0,
+                        0
+                    ],
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+                        0,
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+                        0,
+                        0,
+                        0,
+                        0,
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+                        0
+                    ],
+                    [
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+                        0,
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+                        0,
+                        0,
+                        0,
+                        0,
+                        0,
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+                    ],
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+                        1,
+                        0,
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+                        0,
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+                        0,
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+                    ],
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+                        0,
+                        0,
+                        0,
+                        0,
+                        0,
+                        0,
+                        0,
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+                        0,
+                        1,
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+                    ],
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+                        0,
+                        0,
+                        0,
+                        0,
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+                        2,
+                        0,
+                        0,
+                        2,
+                        0
+                    ],
+                    [
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+                        0,
+                        0,
+                        0,
+                        1,
+                        0,
+                        0,
+                        0,
+                        9,
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+                        0,
+                        0,
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+                    ],
+                    [
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+                        0,
+                        0,
+                        0,
+                        0,
+                        7,
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+                        0,
+                        0,
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+                    ],
+                    [
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+                        0,
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+                        0,
+                        0,
+                        1,
+                        0,
+                        0,
+                        0,
+                        0,
+                        0,
+                        0
+                    ]
+                ],
+                "output": [
+                    [
+                        0,
+                        2,
+                        0,
+                        0
+                    ],
+                    [
+                        0,
+                        2,
+                        0,
+                        0
+                    ],
+                    [
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+                    ],
+                    [
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+                    [
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+                    [
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+                    [
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+                    ],
+                    [
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+                    ],
+                    [
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+                    ],
+                    [
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+                    [
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+                    [
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+                    [
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+                        1
+                    ],
+                    [
+                        7,
+                        2,
+                        9,
+                        1
+                    ]
+                ]
+            }
+        ],
+        "train": [
+            {
+                "input": [
+                    [
+                        2,
+                        0,
+                        0,
+                        1,
+                        0,
+                        0,
+                        0,
+                        0,
+                        0,
+                        0,
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+                    ],
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+                    ],
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+                        0,
+                        0,
+                        0,
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+                        0,
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+                    ],
+                    [
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+                        0,
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+                    [
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+                    [
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+                        0,
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+                    ],
+                    [
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+                        0,
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+                        0,
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+                    ],
+                    [
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+                    ],
+                    [
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+                        0,
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+                    ],
+                    [
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+                        0,
+                        0,
+                        7,
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+                    ],
+                    [
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+                        0,
+                        0,
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+                        0,
+                        0,
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+                        0,
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+                    ],
+                    [
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+                        0,
+                        0,
+                        0,
+                        0,
+                        0,
+                        0,
+                        0,
+                        9,
+                        0
+                    ],
+                    [
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+                        0,
+                        0,
+                        0,
+                        2,
+                        0,
+                        0,
+                        0,
+                        0,
+                        0,
+                        1,
+                        0,
+                        0
+                    ]
+                ],
+                "output": [
+                    [
+                        0,
+                        0,
+                        9,
+                        0
+                    ],
+                    [
+                        0,
+                        0,
+                        9,
+                        0
+                    ],
+                    [
+                        0,
+                        0,
+                        9,
+                        0
+                    ],
+                    [
+                        7,
+                        0,
+                        9,
+                        0
+                    ],
+                    [
+                        7,
+                        0,
+                        9,
+                        0
+                    ],
+                    [
+                        7,
+                        0,
+                        9,
+                        0
+                    ],
+                    [
+                        7,
+                        0,
+                        9,
+                        0
+                    ],
+                    [
+                        7,
+                        0,
+                        9,
+                        1
+                    ],
+                    [
+                        7,
+                        0,
+                        9,
+                        1
+                    ],
+                    [
+                        7,
+                        2,
+                        9,
+                        1
+                    ],
+                    [
+                        7,
+                        2,
+                        9,
+                        1
+                    ],
+                    [
+                        7,
+                        2,
+                        9,
+                        1
+                    ],
+                    [
+                        7,
+                        2,
+                        9,
+                        1
+                    ],
+                    [
+                        7,
+                        2,
+                        9,
+                        1
+                    ],
+                    [
+                        7,
+                        2,
+                        9,
+                        1
+                    ],
+                    [
+                        7,
+                        2,
+                        9,
+                        1
+                    ],
+                    [
+                        7,
+                        2,
+                        9,
+                        1
+                    ],
+                    [
+                        7,
+                        2,
+                        9,
+                        1
+                    ]
+                ],
+                "cf_types": [
+                    "do_hard (color 7 = 0)",
+                    "do_hard (color 2 = 0)",
+                    "do_hard (color 9 = 0)",
+                    "do_hard (color 1 = 0)",
+                    "do_soft (color 0 = 8)",
+                    "do_soft (color 7 = 5)",
+                    "do_soft (color 2 = 6)",
+                    "do_soft (color 9 = 4)",
+                    "do_soft (geometric transform = flipud)",
+                    "do_soft (geometric transform = fliplr)",
+                    "do_soft (geometric transform = rot90)"
+                ],
+                "cf_inputs": [
+                    [
+                        [
+                            2,
+                            0,
+                            0,
+                            1,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0
+                        ],
+                        [
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
+                            2,
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+                    "do_soft (color 2 = 8)",
+                    "do_soft (color 9 = 3)",
+                    "do_soft (geometric transform = flipud)",
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+                    "do_soft (geometric transform = rot90)"
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+                    [
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+                        ],
+                        [
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+                            0,
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+                        ],
+                        [
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+                        ],
+                        [
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+                            1
+                        ],
+                        [
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+                        ],
+                        [
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+                        ],
+                        [
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+                            2,
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+                            1
+                        ],
+                        [
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+                            2,
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+                            1
+                        ],
+                        [
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+                            2,
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+                        ],
+                        [
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+                        ],
+                        [
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+                            1
+                        ],
+                        [
+                            7,
+                            2,
+                            9,
+                            1
+                        ]
+                    ]
+                ]
+            }
+        ]
+    },
+    "SCMm5ob_20x20": {
+        "scm": "def SCMm5ob(colors: list):\n            p = [0.8]+[0.05]*4\n            x = np.random.choice(colors, size = size, replace = True, p = p)\n            \n            counts = np.unique(x, return_counts = True)\n            y = np.zeros((np.max(counts[1][1:]), 4)).astype(int)\n            counts = dict(zip(counts[0], counts[1]))\n            for color,count in counts.items():\n                if color > 0:\n                    y[-count:,colors.index(color)-1] = color\n            return x,y\n        ",
+        "test": [
+            {
+                "input": [
+                    [
+                        0,
+                        2,
+                        0,
+                        0,
+                        0,
+                        0,
+                        0,
+                        1,
+                        0,
+                        0,
+                        0,
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+                        0,
+                        0,
+                        0,
+                        0,
+                        0,
+                        1,
+                        0,
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+                    ],
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+                        0,
+                        0,
+                        0,
+                        0,
+                        0,
+                        0,
+                        0,
+                        0,
+                        3
+                    ],
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+                    [
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+                        1,
+                        0,
+                        0,
+                        0,
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+                        0,
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+                        0,
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+                    ],
+                    [
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+                        0,
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+                    [
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+                    ],
+                    [
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+                    ],
+                    [
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+                    [
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+                    [
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+                    ],
+                    [
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+                        0,
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+                        0,
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+                    [
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+                    [
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+                    ],
+                    [
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+                    ],
+                    [
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+                        0,
+                        0,
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+                        0,
+                        0,
+                        3,
+                        0,
+                        0,
+                        0,
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+                        2,
+                        0,
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+                    [
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+                        0,
+                        0,
+                        0,
+                        2,
+                        0,
+                        0,
+                        1,
+                        0
+                    ]
+                ],
+                "output": [
+                    [
+                        1,
+                        0,
+                        2,
+                        0
+                    ],
+                    [
+                        1,
+                        0,
+                        2,
+                        0
+                    ],
+                    [
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+                        2,
+                        0
+                    ],
+                    [
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+                        2,
+                        0
+                    ],
+                    [
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+                        2,
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+                    ],
+                    [
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+                        2,
+                        0
+                    ],
+                    [
+                        1,
+                        3,
+                        2,
+                        0
+                    ],
+                    [
+                        1,
+                        3,
+                        2,
+                        0
+                    ],
+                    [
+                        1,
+                        3,
+                        2,
+                        0
+                    ],
+                    [
+                        1,
+                        3,
+                        2,
+                        0
+                    ],
+                    [
+                        1,
+                        3,
+                        2,
+                        0
+                    ],
+                    [
+                        1,
+                        3,
+                        2,
+                        9
+                    ],
+                    [
+                        1,
+                        3,
+                        2,
+                        9
+                    ],
+                    [
+                        1,
+                        3,
+                        2,
+                        9
+                    ],
+                    [
+                        1,
+                        3,
+                        2,
+                        9
+                    ],
+                    [
+                        1,
+                        3,
+                        2,
+                        9
+                    ],
+                    [
+                        1,
+                        3,
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+                        [
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+                            2,
+                            9
+                        ]
+                    ]
+                ]
+            }
+        ]
+    },
+    "SCMev5t_10x10": {
+        "scm": "def SCMev5t(colors: list, size: tuple = (10,10)):\n            n_per_color = np.random.choice([1,2,3], size = len(colors))\n            true_n_per_color = [x for x in n_per_color]\n            x = np.zeros(size).astype(int)\n            for i in range(len(colors)):\n                for n in range(n_per_color[i]):\n                    try:\n                        random_size = np.random.choice([2,3], size = 2)\n                        sprite = np.ones(random_size).astype(int)*colors[i]\n                        x = self.a.add_sprite(x, sprite = sprite)\n                    except:\n                        if true_n_per_color[i] == 0:\n                            pass\n                        else: \n                            true_n_per_color[i] -= 1\n\n            sorted_vals = sorted(zip(true_n_per_color,colors))\n            sorted_vals = [x for x in sorted_vals if x[0] > 0]\n            y = np.zeros((len(sorted_vals), max(true_n_per_color))).astype(int)\n            for i in range(len(sorted_vals)):\n                y[i,:sorted_vals[i][0]] = sorted_vals[i][1]\n            return x,y\n        ",
+        "test": [
+            {
+                "input": [
+                    [
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+                        0,
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+                    [
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+                    ],
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+                        0,
+                        0,
+                        0,
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+                    ]
+                ],
+                "output": [
+                    [
+                        4,
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+                    ],
+                    [
+                        5,
+                        0
+                    ],
+                    [
+                        1,
+                        1
+                    ]
+                ]
+            }
+        ],
+        "train": [
+            {
+                "input": [
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+                        0,
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+                    ],
+                    [
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+                        0,
+                        0,
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+                    ],
+                    [
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+                    ],
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+                ],
+                "output": [
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+                    ],
+                    [
+                        4,
+                        0
+                    ],
+                    [
+                        5,
+                        5
+                    ]
+                ],
+                "cf_types": [
+                    "do_hard (color 0 = 0)",
+                    "do_hard (color 1 = 0)",
+                    "do_hard (color 4 = 0)",
+                    "do_hard (color 5 = 0)",
+                    "do_soft (color 1 = 6)",
+                    "do_soft (color 4 = 9)",
+                    "do_soft (color 5 = 8)",
+                    "do_soft (geometric transform = flipud)",
+                    "do_soft (geometric transform = fliplr)",
+                    "do_soft (geometric transform = rot90)"
+                ],
+                "cf_inputs": [
+                    [
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+                            0,
+                            0,
+                            0,
+                            0,
+                            0,
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+                        ]
+                    ]
+                ],
+                "cf_outputs": [
+                    [
+                        [
+                            1,
+                            0
+                        ],
+                        [
+                            4,
+                            4
+                        ]
+                    ],
+                    [
+                        [
+                            4,
+                            4
+                        ]
+                    ],
+                    [
+                        [
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+                        ]
+                    ],
+                    [
+                        [
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+                        ],
+                        [
+                            4,
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+                        ]
+                    ],
+                    [
+                        [
+                            1,
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+                        ],
+                        [
+                            5,
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+                        ]
+                    ],
+                    [
+                        [
+                            1,
+                            0
+                        ],
+                        [
+                            4,
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+                        ]
+                    ],
+                    [
+                        [
+                            1,
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+                        ],
+                        [
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+                        ]
+                    ],
+                    [
+                        [
+                            1,
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+                        ],
+                        [
+                            4,
+                            4
+                        ]
+                    ]
+                ]
+            }
+        ]
+    },
+    "SCMev5t_15x15": {
+        "scm": "def SCMev5t(colors: list, size: tuple = (10,10)):\n            n_per_color = np.random.choice([1,2,3], size = len(colors))\n            true_n_per_color = [x for x in n_per_color]\n            x = np.zeros(size).astype(int)\n            for i in range(len(colors)):\n                for n in range(n_per_color[i]):\n                    try:\n                        random_size = np.random.choice([2,3], size = 2)\n                        sprite = np.ones(random_size).astype(int)*colors[i]\n                        x = self.a.add_sprite(x, sprite = sprite)\n                    except:\n                        if true_n_per_color[i] == 0:\n                            pass\n                        else: \n                            true_n_per_color[i] -= 1\n\n            sorted_vals = sorted(zip(true_n_per_color,colors))\n            sorted_vals = [x for x in sorted_vals if x[0] > 0]\n            y = np.zeros((len(sorted_vals), max(true_n_per_color))).astype(int)\n            for i in range(len(sorted_vals)):\n                y[i,:sorted_vals[i][0]] = sorted_vals[i][1]\n            return x,y\n        ",
+        "test": [
+            {
+                "input": [
+                    [
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+                "output": [
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+                    [
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+                    ],
+                    [
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+                ]
+            }
+        ],
+        "train": [
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+                "input": [
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+                ],
+                "output": [
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+                    ],
+                    [
+                        7,
+                        0
+                    ],
+                    [
+                        5,
+                        5
+                    ]
+                ],
+                "cf_types": [
+                    "do_hard (color 0 = 0)",
+                    "do_hard (color 2 = 0)",
+                    "do_hard (color 5 = 0)",
+                    "do_hard (color 7 = 0)",
+                    "do_soft (color 2 = 9)",
+                    "do_soft (color 5 = 3)",
+                    "do_soft (color 7 = 1)",
+                    "do_soft (geometric transform = flipud)",
+                    "do_soft (geometric transform = fliplr)",
+                    "do_soft (geometric transform = rot90)"
+                ],
+                "cf_inputs": [
+                    [
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+                "cf_outputs": [
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+                    ]
+                ]
+            }
+        ]
+    },
+    "SCMev5t_20x20": {
+        "scm": "def SCMev5t(colors: list, size: tuple = (10,10)):\n            n_per_color = np.random.choice([1,2,3], size = len(colors))\n            true_n_per_color = [x for x in n_per_color]\n            x = np.zeros(size).astype(int)\n            for i in range(len(colors)):\n                for n in range(n_per_color[i]):\n                    try:\n                        random_size = np.random.choice([2,3], size = 2)\n                        sprite = np.ones(random_size).astype(int)*colors[i]\n                        x = self.a.add_sprite(x, sprite = sprite)\n                    except:\n                        if true_n_per_color[i] == 0:\n                            pass\n                        else: \n                            true_n_per_color[i] -= 1\n\n            sorted_vals = sorted(zip(true_n_per_color,colors))\n            sorted_vals = [x for x in sorted_vals if x[0] > 0]\n            y = np.zeros((len(sorted_vals), max(true_n_per_color))).astype(int)\n            for i in range(len(sorted_vals)):\n                y[i,:sorted_vals[i][0]] = sorted_vals[i][1]\n            return x,y\n        ",
+        "test": [
+            {
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+            }
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+    },
+    "SCMfuy3": {
+        "scm": "def SCMfuy3():\n            size = (3,3)\n            half = total_colors//2\n            colors = np.random.choice(list(range(1,10)), replace = False, size = half).tolist()\n            not_in = [x for x in list(range(1,10)) if x not in colors]\n            most_freq_color = np.random.choice(not_in, replace = False, size = 1)[0]\n            most_freq = [most_freq_color for i in range(half)]\n            colors = colors + most_freq\n            random.shuffle(colors)\n            u_list = [np.random.binomial(n = 1, p = 0.85, size = size) for i in range(len(colors))]\n            x = [u_list[i]*colors[i] for i in range(len(colors))]\n            x = [np.pad(z, pad_width = 1) for z in x]\n            x = np.concatenate(x, axis = 1)\n            y = [np.pad(np.ones((1,1)),pad_width=1)*colors[i] if colors[i] != most_freq_color else np.ones(size)*most_freq_color for i in range(len(colors))]\n            y = np.concatenate(y, axis = 0)\n            return x,y\n        ",
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+            }
+        ]
+    },
+    "SCMhlh2": {
+        "scm": "def SCMhlh2():\n            size = np.random.choice(range(3,10), size = 2)\n            colors = np.random.choice(range(2,10), size = 2, replace = False)\n            _u = np.random.binomial(n = 1, p = 0.8, size = size)\n            x = _u.copy()\n            count = x[0,0]+x[-1,0]+x[0,-1]+x[-1,-1]\n            x[0,0] = x[0,0]*colors[0]\n            x[-1,0] = x[-1,0]*colors[0]\n            x[0,-1] = x[0,-1]*colors[0]\n            x[-1,-1] = x[-1,-1]*colors[0]\n            x[x.shape[0]//2,x.shape[1]//2] = colors[1]\n            y = np.ones((1,count)).astype(int)*colors[1]\n            return x,y\n        ",
+        "test": [
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+                    ],
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+                    [
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+                ],
+                "output": [
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+                ]
+            }
+        ],
+        "train": [
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+                ],
+                "cf_types": [
+                    "do_soft (color 1 = 4)",
+                    "do_soft (color 8 = 6)",
+                    "do_soft (geometric transform = flipud)",
+                    "do_soft (geometric transform = fliplr)",
+                    "do_soft (geometric transform = rot90)"
+                ],
+                "cf_inputs": [
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+                "cf_outputs": [
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+    },
+    "SCM43rz": {
+        "scm": "def SCM43rz():\n            colors = np.random.choice([1,2,3,4], size = 2, replace = False)\n            u1 = np.random.binomial(n = 1, size = (5,5), p = 0.5)\n            u2 = np.random.binomial(n = 1, size = (5,5), p = 0.5)\n            x = u1*colors[0] + u2*colors[1]\n            x = np.pad(x, pad_width = 2)\n            counts = np.unique(x, return_counts = True)\n            # Getting sorted indices.\n            idx = np.argsort(counts[1]) \n            # Sorting both lists.\n            colors = [counts[0][i] for i in idx] \n            counts = [counts[1][i] for i in idx] \n            least_freq = [colors[i] for i in range(len(colors)) if counts[i] == min(counts)]\n            y = np.array(least_freq).reshape(-1,1)\n            return x,y\n        ",
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+                    "do_soft (geometric transform = flipud)",
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diff --git a/static_evaluation_set/v0_09-01-25/counting/causal_arc_counting_solutions.json b/static_evaluation_set/v0_09-01-25/counting/causal_arc_counting_solutions.json
new file mode 100644
index 0000000000000000000000000000000000000000..394051ee022817d3ee889f510e0024790b99c955
--- /dev/null
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diff --git a/static_evaluation_set/v0_09-01-25/extension/causal_arc_extension.json b/static_evaluation_set/v0_09-01-25/extension/causal_arc_extension.json
new file mode 100644
index 0000000000000000000000000000000000000000..d1baec35461bef860ef0b26199f389edb6d9fb1f
--- /dev/null
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diff --git a/static_evaluation_set/v0_09-01-25/extension/causal_arc_extension_solutions.json b/static_evaluation_set/v0_09-01-25/extension/causal_arc_extension_solutions.json
new file mode 100644
index 0000000000000000000000000000000000000000..9c3681ac7f76174126759eb33ae3376e13f11c9d
--- /dev/null
+++ b/static_evaluation_set/v0_09-01-25/extension/causal_arc_extension_solutions.json
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9, 9, 9, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 0, 0, 5, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 9, 9, 9, 9, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0]]], "SCMwoev!25x25": [[[5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3], [0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 7, 3, 3, 3, 3, 3, 3, 3, 3, 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\ No newline at end of file
diff --git a/static_evaluation_set/v0_09-01-25/logical/.DS_Store b/static_evaluation_set/v0_09-01-25/logical/.DS_Store
new file mode 100644
index 0000000000000000000000000000000000000000..5008ddfcf53c02e82d7eee2e57c38e5672ef89f6
Binary files /dev/null and b/static_evaluation_set/v0_09-01-25/logical/.DS_Store differ
diff --git a/static_evaluation_set/v0_09-01-25/logical/.ipynb_checkpoints/causal_arc_logical_or-checkpoint.json b/static_evaluation_set/v0_09-01-25/logical/.ipynb_checkpoints/causal_arc_logical_or-checkpoint.json
new file mode 100644
index 0000000000000000000000000000000000000000..e5391de0d525ad8369bdbcdc5596d1631a2325ab
--- /dev/null
+++ b/static_evaluation_set/v0_09-01-25/logical/.ipynb_checkpoints/causal_arc_logical_or-checkpoint.json
@@ -0,0 +1 @@
+{"SCMdky5or10x10": {"scm": "def get_xy(upper_color,lower_color,output_color,size):\n\tupper = np.random.choice([0,upper_color], size = size)\n\tlower = np.random.choice([0,lower_color], size = size)\n\tx = np.concatenate((upper,lower), axis = 0).astype(int)\n\ty = np.logical_or(upper,lower).astype(int)\n\ty *= output_color\n\treturn x,y", "latex": "\\begin{align}\n            \\mathbf{u}[i,j] &\\sim \\mathrm{Ber}(0.5) & \\text{for} \\; i \\in [0,5], j \\in [0,4] \\\\\n            \\mathbf{x}[i,j] &= \\begin{cases} 9 \\cdot \\mathbf{u}[i,j] \\quad \\text{if} \\; i < 3 \\\\ 4 \\cdot \\mathbf{u}[i,j] \\quad \\text{else} \\end{cases} & \\text{for} \\; i \\in [0,5], j \\in [0,4] \\\\\n            \\mathbf{y}[i,j] &= {6 \\cdot \\mathrm{xor} \\left( \\mathbf{x}[i,j], \\; \\mathbf{x}[i+3,j] \\right) & \\text{for} \\; i \\in [0,2], j \\in [0,4].\n        \\end{align}", "test": [{"input": [[0, 5, 5, 5, 5, 0, 5, 5, 0, 0], [0, 0, 5, 5, 5, 0, 5, 5, 5, 0], [0, 0, 5, 0, 0, 5, 5, 0, 0, 0], [5, 5, 0, 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3, 3, 0, 3, 0], [0, 0, 0, 3, 0, 0, 3, 0, 3, 0, 3, 3, 0, 3, 0], [3, 3, 3, 0, 3, 3, 0, 0, 0, 0, 3, 0, 3, 3, 3], [3, 0, 0, 3, 3, 3, 3, 0, 0, 0, 3, 3, 0, 0, 3], [3, 3, 3, 0, 0, 0, 3, 3, 3, 0, 0, 3, 3, 3, 3], [3, 0, 0, 0, 0, 3, 0, 3, 3, 3, 0, 3, 0, 0, 0], [3, 3, 0, 0, 3, 3, 0, 3, 3, 3, 3, 0, 0, 3, 0]], [[0, 6, 0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 6, 0, 6], [0, 0, 6, 6, 0, 0, 6, 6, 6, 0, 0, 6, 6, 0, 6], [0, 6, 0, 6, 6, 0, 6, 0, 6, 6, 0, 0, 0, 0, 6], [0, 6, 0, 0, 6, 6, 0, 6, 6, 0, 0, 6, 0, 0, 0], [0, 6, 0, 6, 6, 0, 0, 6, 0, 6, 0, 0, 0, 0, 0], [6, 0, 6, 0, 0, 6, 6, 6, 6, 6, 6, 6, 0, 6, 0], [0, 0, 0, 6, 6, 0, 0, 0, 6, 0, 0, 0, 6, 0, 0], [6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 6, 6, 0], [6, 0, 0, 6, 6, 6, 6, 6, 0, 0, 6, 6, 0, 0, 0], [0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 6], [0, 0, 6, 0, 0, 6, 6, 6, 6, 0, 0, 0, 6, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 6, 0], [6, 0, 0, 6, 6, 6, 6, 0, 6, 0, 0, 6, 0, 0, 0], [0, 6, 6, 6, 6, 6, 0, 6, 0, 0, 6, 0, 0, 0, 6], [0, 0, 6, 0, 6, 6, 0, 6, 6, 0, 0, 0, 0, 6, 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3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]], [[6, 0, 6, 6, 0, 6, 0, 0, 6, 0, 0, 0, 0, 6, 0], [6, 6, 0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 0, 6, 0], [6, 0, 6, 0, 0, 6, 0, 6, 0, 0, 6, 6, 6, 6, 0], [6, 0, 6, 6, 0, 0, 6, 0, 0, 6, 6, 0, 6, 6, 6], [6, 0, 6, 0, 0, 6, 6, 0, 6, 0, 6, 6, 6, 6, 6], [0, 6, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 6], [6, 6, 6, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6], [0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 6], [0, 6, 6, 0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 6, 6], [6, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 6, 0], [6, 6, 0, 6, 6, 0, 0, 0, 0, 6, 6, 6, 0, 6, 0], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 6, 0, 6], [0, 6, 6, 0, 0, 0, 0, 6, 0, 6, 6, 0, 6, 6, 6], [6, 0, 0, 0, 0, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0], [6, 6, 0, 6, 0, 0, 6, 0, 0, 6, 6, 6, 6, 0, 6], [3, 0, 0, 3, 3, 3, 0, 0, 3, 3, 0, 3, 0, 3, 3], [3, 3, 0, 0, 3, 3, 3, 3, 3, 0, 0, 3, 0, 3, 0], [0, 3, 0, 0, 3, 3, 3, 3, 3, 3, 0, 0, 0, 3, 0], [0, 3, 3, 3, 3, 0, 3, 3, 0, 3, 3, 0, 3, 0, 3], [0, 0, 0, 0, 0, 0, 3, 3, 0, 3, 3, 0, 3, 0, 3], [3, 0, 0, 3, 0, 3, 0, 0, 0, 0, 0, 0, 3, 0, 3], [0, 0, 0, 0, 0, 0, 3, 3, 0, 3, 0, 0, 3, 3, 0], [3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 3, 3, 0, 0, 3], [3, 0, 3, 0, 0, 3, 3, 0, 0, 3, 3, 3, 0, 3, 0], [0, 0, 0, 3, 0, 0, 3, 0, 3, 0, 3, 3, 0, 3, 0], [3, 3, 3, 0, 3, 3, 0, 0, 0, 0, 3, 0, 3, 3, 3], [3, 0, 0, 3, 3, 3, 3, 0, 0, 0, 3, 3, 0, 0, 3], [3, 3, 3, 0, 0, 0, 3, 3, 3, 0, 0, 3, 3, 3, 3], [3, 0, 0, 0, 0, 3, 0, 3, 3, 3, 0, 3, 0, 0, 0], [3, 3, 0, 0, 3, 3, 0, 3, 3, 3, 3, 0, 0, 3, 0]], [[0, 8, 0, 0, 8, 0, 8, 8, 0, 8, 8, 8, 8, 0, 8], [0, 0, 8, 8, 0, 0, 8, 8, 8, 0, 0, 8, 8, 0, 8], [0, 8, 0, 8, 8, 0, 8, 0, 8, 8, 0, 0, 0, 0, 8], [0, 8, 0, 0, 8, 8, 0, 8, 8, 0, 0, 8, 0, 0, 0], [0, 8, 0, 8, 8, 0, 0, 8, 0, 8, 0, 0, 0, 0, 0], [8, 0, 8, 0, 0, 8, 8, 8, 8, 8, 8, 8, 0, 8, 0], [0, 0, 0, 8, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0], [8, 0, 8, 8, 8, 8, 8, 8, 8, 8, 0, 0, 8, 8, 0], [8, 0, 0, 8, 8, 8, 8, 8, 0, 0, 8, 8, 0, 0, 0], [0, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 8, 8, 0, 8], [0, 0, 8, 0, 0, 8, 8, 8, 8, 0, 0, 0, 8, 0, 8], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 0, 8, 0], [8, 0, 0, 8, 8, 8, 8, 0, 8, 0, 0, 8, 0, 0, 0], [0, 8, 8, 8, 8, 8, 0, 8, 0, 0, 8, 0, 0, 0, 8], [0, 0, 8, 0, 8, 8, 0, 8, 8, 0, 0, 0, 0, 8, 0], [3, 0, 0, 3, 3, 3, 0, 0, 3, 3, 0, 3, 0, 3, 3], [3, 3, 0, 0, 3, 3, 3, 3, 3, 0, 0, 3, 0, 3, 0], [0, 3, 0, 0, 3, 3, 3, 3, 3, 3, 0, 0, 0, 3, 0], [0, 3, 3, 3, 3, 0, 3, 3, 0, 3, 3, 0, 3, 0, 3], [0, 0, 0, 0, 0, 0, 3, 3, 0, 3, 3, 0, 3, 0, 3], [3, 0, 0, 3, 0, 3, 0, 0, 0, 0, 0, 0, 3, 0, 3], [0, 0, 0, 0, 0, 0, 3, 3, 0, 3, 0, 0, 3, 3, 0], [3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 3, 3, 0, 0, 3], [3, 0, 3, 0, 0, 3, 3, 0, 0, 3, 3, 3, 0, 3, 0], [0, 0, 0, 3, 0, 0, 3, 0, 3, 0, 3, 3, 0, 3, 0], [3, 3, 3, 0, 3, 3, 0, 0, 0, 0, 3, 0, 3, 3, 3], [3, 0, 0, 3, 3, 3, 3, 0, 0, 0, 3, 3, 0, 0, 3], [3, 3, 3, 0, 0, 0, 3, 3, 3, 0, 0, 3, 3, 3, 3], [3, 0, 0, 0, 0, 3, 0, 3, 3, 3, 0, 3, 0, 0, 0], [3, 3, 0, 0, 3, 3, 0, 3, 3, 3, 3, 0, 0, 3, 0]], [[0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2], [0, 0, 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3], [3, 0, 0, 3, 3, 3, 0, 3, 0, 0, 0, 3, 0, 0, 0], [0, 0, 0, 3, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3], [3, 0, 0, 3, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0], [0, 3, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0]], [[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [0, 3, 0, 0, 3, 0, 0, 3, 0, 0, 0, 0, 0, 3, 3], [0, 3, 0, 0, 0, 0, 3, 0, 3, 3, 3, 0, 3, 3, 3], [3, 3, 0, 3, 3, 3, 0, 3, 3, 0, 0, 3, 3, 0, 3], [0, 3, 3, 3, 3, 3, 0, 3, 3, 0, 3, 3, 0, 3, 3], [3, 3, 0, 0, 0, 0, 3, 0, 3, 0, 0, 3, 0, 3, 0], [3, 0, 3, 0, 3, 3, 3, 3, 3, 0, 0, 0, 3, 3, 3], [0, 3, 3, 3, 3, 0, 0, 0, 0, 3, 0, 0, 0, 0, 3], [0, 3, 3, 0, 3, 3, 0, 0, 3, 0, 3, 0, 3, 0, 3], [3, 0, 0, 3, 0, 0, 3, 3, 3, 3, 3, 3, 3, 0, 0], [0, 0, 0, 0, 0, 3, 0, 3, 0, 0, 0, 0, 3, 3, 3], [3, 0, 0, 3, 3, 3, 0, 3, 0, 3, 0, 0, 0, 3, 3], [3, 0, 0, 3, 3, 3, 0, 3, 0, 0, 0, 3, 0, 0, 0], [0, 0, 0, 3, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3], [3, 0, 0, 3, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0], [0, 3, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0]], [[6, 6, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 0, 6, 6], [0, 0, 6, 6, 6, 6, 6, 0, 0, 0, 0, 6, 6, 0, 0], [6, 0, 0, 6, 0, 6, 6, 6, 0, 0, 6, 0, 0, 0, 0], [6, 6, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0, 6, 6, 0], [6, 6, 0, 6, 6, 0, 0, 6, 0, 6, 0, 0, 6, 0, 0], [0, 6, 0, 0, 6, 0, 6, 6, 0, 6, 0, 6, 6, 6, 0], [0, 6, 6, 6, 6, 6, 0, 6, 0, 0, 6, 0, 0, 6, 0], [0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 0], [0, 6, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 0, 6, 6], [6, 0, 6, 6, 6, 6, 0, 0, 0, 6, 0, 6, 0, 0, 6], [6, 6, 0, 0, 6, 0, 0, 6, 0, 6, 0, 0, 0, 6, 6], [0, 0, 0, 0, 6, 0, 0, 6, 0, 0, 0, 6, 0, 6, 0], [6, 0, 0, 6, 0, 0, 6, 6, 0, 0, 0, 6, 0, 6, 0], [0, 0, 6, 6, 6, 6, 0, 0, 6, 6, 6, 0, 0, 0, 0], [6, 0, 6, 6, 6, 6, 6, 6, 0, 0, 6, 0, 6, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [[6, 6, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 0, 6, 6], [0, 0, 6, 6, 6, 6, 6, 0, 0, 0, 0, 6, 6, 0, 0], [6, 0, 0, 6, 0, 6, 6, 6, 0, 0, 6, 0, 0, 0, 0], [6, 6, 0, 0, 6, 0, 0, 6, 0, 0, 0, 0, 6, 6, 0], [6, 6, 0, 6, 6, 0, 0, 6, 0, 6, 0, 0, 6, 0, 0], [0, 6, 0, 0, 6, 0, 6, 6, 0, 6, 0, 6, 6, 6, 0], [0, 6, 6, 6, 6, 6, 0, 6, 0, 0, 6, 0, 0, 6, 0], [0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 6, 0], [0, 6, 6, 6, 0, 6, 0, 6, 6, 0, 0, 6, 0, 6, 6], [6, 0, 6, 6, 6, 6, 0, 0, 0, 6, 0, 6, 0, 0, 6], [6, 6, 0, 0, 6, 0, 0, 6, 0, 6, 0, 0, 0, 6, 6], [0, 0, 0, 0, 6, 0, 0, 6, 0, 0, 0, 6, 0, 6, 0], [6, 0, 0, 6, 0, 0, 6, 6, 0, 0, 0, 6, 0, 6, 0], [0, 0, 6, 6, 6, 6, 0, 0, 6, 6, 6, 0, 0, 0, 0], [6, 0, 6, 6, 6, 6, 6, 6, 0, 0, 6, 0, 6, 0, 6], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]], [[0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 6, 0, 0], [6, 6, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 6, 6], [0, 6, 6, 0, 6, 0, 0, 0, 6, 6, 0, 6, 6, 6, 6], [0, 0, 6, 6, 0, 6, 6, 0, 6, 6, 6, 6, 0, 0, 6], [0, 0, 6, 0, 0, 6, 6, 0, 6, 0, 6, 6, 0, 6, 6], [6, 0, 6, 6, 0, 6, 0, 0, 6, 0, 6, 0, 0, 0, 6], [6, 0, 0, 0, 0, 0, 6, 0, 6, 6, 0, 6, 6, 0, 6], [6, 6, 6, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6, 0, 6], [6, 0, 0, 0, 6, 0, 6, 0, 0, 6, 6, 0, 6, 0, 0], [0, 6, 0, 0, 0, 0, 6, 6, 6, 0, 6, 0, 6, 6, 0], [0, 0, 6, 6, 0, 6, 6, 0, 6, 0, 6, 6, 6, 0, 0], [6, 6, 6, 6, 0, 6, 6, 0, 6, 6, 6, 0, 6, 0, 6], [0, 6, 6, 0, 6, 6, 0, 0, 6, 6, 6, 0, 6, 0, 6], [6, 6, 0, 0, 0, 0, 6, 6, 0, 0, 0, 6, 6, 6, 6], [0, 6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 6, 0, 6, 0], [0, 3, 0, 0, 3, 0, 0, 3, 0, 0, 0, 0, 0, 3, 3], [0, 3, 0, 0, 0, 0, 3, 0, 3, 3, 3, 0, 3, 3, 3], [3, 3, 0, 3, 3, 3, 0, 3, 3, 0, 0, 3, 3, 0, 3], [0, 3, 3, 3, 3, 3, 0, 3, 3, 0, 3, 3, 0, 3, 3], [3, 3, 0, 0, 0, 0, 3, 0, 3, 0, 0, 3, 0, 3, 0], [3, 0, 3, 0, 3, 3, 3, 3, 3, 0, 0, 0, 3, 3, 3], [0, 3, 3, 3, 3, 0, 0, 0, 0, 3, 0, 0, 0, 0, 3], [0, 3, 3, 0, 3, 3, 0, 0, 3, 0, 3, 0, 3, 0, 3], [3, 0, 0, 3, 0, 0, 3, 3, 3, 3, 3, 3, 3, 0, 0], [0, 0, 0, 0, 0, 3, 0, 3, 0, 0, 0, 0, 3, 3, 3], [3, 0, 0, 3, 3, 3, 0, 3, 0, 3, 0, 0, 0, 3, 3], [3, 0, 0, 3, 3, 3, 0, 3, 0, 0, 0, 3, 0, 0, 0], [0, 0, 0, 3, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3], [3, 0, 0, 3, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0], [0, 3, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0]], [[7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 0, 7, 7], [0, 0, 7, 7, 7, 7, 7, 0, 0, 0, 0, 7, 7, 0, 0], [7, 0, 0, 7, 0, 7, 7, 7, 0, 0, 7, 0, 0, 0, 0], [7, 7, 0, 0, 7, 0, 0, 7, 0, 0, 0, 0, 7, 7, 0], [7, 7, 0, 7, 7, 0, 0, 7, 0, 7, 0, 0, 7, 0, 0], [0, 7, 0, 0, 7, 0, 7, 7, 0, 7, 0, 7, 7, 7, 0], [0, 7, 7, 7, 7, 7, 0, 7, 0, 0, 7, 0, 0, 7, 0], [0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 7, 0], [0, 7, 7, 7, 0, 7, 0, 7, 7, 0, 0, 7, 0, 7, 7], [7, 0, 7, 7, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 7], [7, 7, 0, 0, 7, 0, 0, 7, 0, 7, 0, 0, 0, 7, 7], [0, 0, 0, 0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 7, 0], [7, 0, 0, 7, 0, 0, 7, 7, 0, 0, 0, 7, 0, 7, 0], [0, 0, 7, 7, 7, 7, 0, 0, 7, 7, 7, 0, 0, 0, 0], [7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 7, 0, 7, 0, 7], [0, 3, 0, 0, 3, 0, 0, 3, 0, 0, 0, 0, 0, 3, 3], [0, 3, 0, 0, 0, 0, 3, 0, 3, 3, 3, 0, 3, 3, 3], [3, 3, 0, 3, 3, 3, 0, 3, 3, 0, 0, 3, 3, 0, 3], [0, 3, 3, 3, 3, 3, 0, 3, 3, 0, 3, 3, 0, 3, 3], [3, 3, 0, 0, 0, 0, 3, 0, 3, 0, 0, 3, 0, 3, 0], [3, 0, 3, 0, 3, 3, 3, 3, 3, 0, 0, 0, 3, 3, 3], [0, 3, 3, 3, 3, 0, 0, 0, 0, 3, 0, 0, 0, 0, 3], [0, 3, 3, 0, 3, 3, 0, 0, 3, 0, 3, 0, 3, 0, 3], [3, 0, 0, 3, 0, 0, 3, 3, 3, 3, 3, 3, 3, 0, 0], [0, 0, 0, 0, 0, 3, 0, 3, 0, 0, 0, 0, 3, 3, 3], [3, 0, 0, 3, 3, 3, 0, 3, 0, 3, 0, 0, 0, 3, 3], [3, 0, 0, 3, 3, 3, 0, 3, 0, 0, 0, 3, 0, 0, 0], [0, 0, 0, 3, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3], [3, 0, 0, 3, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0], [0, 3, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0]], [[9, 9, 9, 9, 9, 9, 0, 9, 9, 9, 9, 9, 0, 9, 9], [0, 0, 9, 9, 9, 9, 9, 0, 0, 0, 0, 9, 9, 0, 0], [9, 0, 0, 9, 0, 9, 9, 9, 0, 0, 9, 0, 0, 0, 0], [9, 9, 0, 0, 9, 0, 0, 9, 0, 0, 0, 0, 9, 9, 0], [9, 9, 0, 9, 9, 0, 0, 9, 0, 9, 0, 0, 9, 0, 0], [0, 9, 0, 0, 9, 0, 9, 9, 0, 9, 0, 9, 9, 9, 0], [0, 9, 9, 9, 9, 9, 0, 9, 0, 0, 9, 0, 0, 9, 0], [0, 0, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 0, 9, 0], [0, 9, 9, 9, 0, 9, 0, 9, 9, 0, 0, 9, 0, 9, 9], [9, 0, 9, 9, 9, 9, 0, 0, 0, 9, 0, 9, 0, 0, 9], [9, 9, 0, 0, 9, 0, 0, 9, 0, 9, 0, 0, 0, 9, 9], [0, 0, 0, 0, 9, 0, 0, 9, 0, 0, 0, 9, 0, 9, 0], [9, 0, 0, 9, 0, 0, 9, 9, 0, 0, 0, 9, 0, 9, 0], [0, 0, 9, 9, 9, 9, 0, 0, 9, 9, 9, 0, 0, 0, 0], [9, 0, 9, 9, 9, 9, 9, 9, 0, 0, 9, 0, 9, 0, 9], [0, 3, 0, 0, 3, 0, 0, 3, 0, 0, 0, 0, 0, 3, 3], [0, 3, 0, 0, 0, 0, 3, 0, 3, 3, 3, 0, 3, 3, 3], [3, 3, 0, 3, 3, 3, 0, 3, 3, 0, 0, 3, 3, 0, 3], [0, 3, 3, 3, 3, 3, 0, 3, 3, 0, 3, 3, 0, 3, 3], [3, 3, 0, 0, 0, 0, 3, 0, 3, 0, 0, 3, 0, 3, 0], [3, 0, 3, 0, 3, 3, 3, 3, 3, 0, 0, 0, 3, 3, 3], [0, 3, 3, 3, 3, 0, 0, 0, 0, 3, 0, 0, 0, 0, 3], [0, 3, 3, 0, 3, 3, 0, 0, 3, 0, 3, 0, 3, 0, 3], [3, 0, 0, 3, 0, 0, 3, 3, 3, 3, 3, 3, 3, 0, 0], [0, 0, 0, 0, 0, 3, 0, 3, 0, 0, 0, 0, 3, 3, 3], [3, 0, 0, 3, 3, 3, 0, 3, 0, 3, 0, 0, 0, 3, 3], [3, 0, 0, 3, 3, 3, 0, 3, 0, 0, 0, 3, 0, 0, 0], [0, 0, 0, 3, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3], [3, 0, 0, 3, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0], [0, 3, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0]], [[4, 4, 4, 4, 4, 4, 0, 4, 4, 4, 4, 4, 0, 4, 4], [0, 0, 4, 4, 4, 4, 4, 0, 0, 0, 0, 4, 4, 0, 0], [4, 0, 0, 4, 0, 4, 4, 4, 0, 0, 4, 0, 0, 0, 0], [4, 4, 0, 0, 4, 0, 0, 4, 0, 0, 0, 0, 4, 4, 0], [4, 4, 0, 4, 4, 0, 0, 4, 0, 4, 0, 0, 4, 0, 0], [0, 4, 0, 0, 4, 0, 4, 4, 0, 4, 0, 4, 4, 4, 0], [0, 4, 4, 4, 4, 4, 0, 4, 0, 0, 4, 0, 0, 4, 0], [0, 0, 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(fun)", "do_soft (color = 7)", "do_soft (color = 9)", "do_soft (color = 8)"], "cf_inputs": [[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 3, 3, 0, 3, 3, 0, 3, 3, 0, 3, 0, 0, 3, 0], [3, 3, 3, 0, 0, 3, 0, 3, 0, 0, 3, 3, 0, 0, 3], [0, 0, 0, 0, 0, 3, 3, 0, 3, 3, 0, 0, 3, 3, 3], [3, 3, 3, 3, 0, 3, 3, 3, 0, 3, 3, 3, 0, 3, 0], [3, 0, 0, 0, 3, 3, 3, 3, 3, 0, 3, 0, 0, 0, 3], [3, 3, 3, 3, 3, 0, 3, 0, 3, 3, 3, 0, 0, 0, 0], [0, 3, 3, 3, 3, 3, 3, 3, 0, 3, 0, 0, 3, 3, 0], [3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3], [0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 0, 0, 3, 3, 3], [0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 3], [3, 0, 0, 0, 3, 3, 0, 0, 0, 3, 3, 0, 3, 3, 3], [0, 0, 0, 3, 3, 0, 3, 0, 0, 3, 3, 3, 0, 0, 0], [3, 3, 3, 3, 0, 0, 0, 3, 3, 3, 3, 0, 3, 0, 3], [3, 3, 3, 3, 0, 3, 0, 3, 0, 3, 3, 3, 3, 0, 0], [3, 0, 3, 0, 0, 0, 0, 3, 3, 0, 3, 0, 0, 3, 0]], [[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [0, 3, 3, 0, 3, 3, 0, 3, 3, 0, 3, 0, 0, 3, 0], [3, 3, 3, 0, 0, 3, 0, 3, 0, 0, 3, 3, 0, 0, 3], [0, 0, 0, 0, 0, 3, 3, 0, 3, 3, 0, 0, 3, 3, 3], [3, 3, 3, 3, 0, 3, 3, 3, 0, 3, 3, 3, 0, 3, 0], [3, 0, 0, 0, 3, 3, 3, 3, 3, 0, 3, 0, 0, 0, 3], [3, 3, 3, 3, 3, 0, 3, 0, 3, 3, 3, 0, 0, 0, 0], [0, 3, 3, 3, 3, 3, 3, 3, 0, 3, 0, 0, 3, 3, 0], [3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3], [0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 0, 0, 3, 3, 3], [0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 3], [3, 0, 0, 0, 3, 3, 0, 0, 0, 3, 3, 0, 3, 3, 3], [0, 0, 0, 3, 3, 0, 3, 0, 0, 3, 3, 3, 0, 0, 0], [3, 3, 3, 3, 0, 0, 0, 3, 3, 3, 3, 0, 3, 0, 3], [3, 3, 3, 3, 0, 3, 0, 3, 0, 3, 3, 3, 3, 0, 0], [3, 0, 3, 0, 0, 0, 0, 3, 3, 0, 3, 0, 0, 3, 0]], [[0, 0, 0, 0, 6, 0, 6, 6, 6, 6, 0, 0, 6, 6, 6], [6, 0, 6, 6, 6, 6, 0, 6, 6, 0, 0, 0, 0, 6, 0], [6, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 6], [0, 0, 6, 6, 6, 6, 6, 0, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 0, 0, 6, 0, 0], [0, 6, 0, 6, 6, 6, 6, 0, 6, 6, 0, 6, 6, 6, 0], [0, 6, 0, 6, 0, 0, 0, 0, 6, 6, 6, 0, 6, 0, 0], [6, 6, 0, 0, 6, 6, 6, 0, 0, 0, 0, 6, 0, 0, 0], [6, 0, 0, 0, 6, 0, 6, 6, 0, 6, 6, 0, 6, 0, 6], [0, 6, 0, 6, 0, 0, 6, 0, 0, 0, 0, 6, 6, 6, 6], [6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 0, 6, 0], [6, 0, 6, 6, 6, 6, 6, 0, 6, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0, 0], [0, 6, 6, 0, 0, 0, 6, 6, 6, 6, 0, 0, 0, 6, 6], [6, 0, 0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 6, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [[0, 0, 0, 0, 6, 0, 6, 6, 6, 6, 0, 0, 6, 6, 6], [6, 0, 6, 6, 6, 6, 0, 6, 6, 0, 0, 0, 0, 6, 0], [6, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6, 0, 6, 6, 6], [0, 0, 6, 6, 6, 6, 6, 0, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 0, 0, 6, 0, 0], [0, 6, 0, 6, 6, 6, 6, 0, 6, 6, 0, 6, 6, 6, 0], [0, 6, 0, 6, 0, 0, 0, 0, 6, 6, 6, 0, 6, 0, 0], [6, 6, 0, 0, 6, 6, 6, 0, 0, 0, 0, 6, 0, 0, 0], [6, 0, 0, 0, 6, 0, 6, 6, 0, 6, 6, 0, 6, 0, 6], [0, 6, 0, 6, 0, 0, 6, 0, 0, 0, 0, 6, 6, 6, 6], [6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 0, 6, 0], [6, 0, 6, 6, 6, 6, 6, 0, 6, 0, 0, 0, 0, 0, 0], [6, 0, 0, 0, 0, 6, 6, 6, 6, 0, 6, 0, 6, 0, 0], [0, 6, 6, 0, 0, 0, 6, 6, 6, 6, 0, 0, 0, 6, 6], [6, 0, 0, 6, 6, 0, 0, 6, 6, 6, 6, 0, 6, 6, 0], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]], [[6, 6, 6, 6, 0, 6, 0, 0, 0, 0, 6, 6, 0, 0, 0], [0, 6, 0, 0, 0, 0, 6, 0, 0, 6, 6, 6, 6, 0, 6], [0, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0], [6, 6, 0, 0, 0, 0, 0, 6, 6, 6, 0, 6, 6, 6, 6], [6, 6, 6, 0, 6, 0, 6, 6, 0, 6, 6, 6, 0, 6, 6], [6, 0, 6, 0, 0, 0, 0, 6, 0, 0, 6, 0, 0, 0, 6], [6, 0, 6, 0, 6, 6, 6, 6, 0, 0, 0, 6, 0, 6, 6], [0, 0, 6, 6, 0, 0, 0, 6, 6, 6, 6, 0, 6, 6, 6], [0, 6, 6, 6, 0, 6, 0, 0, 6, 0, 0, 6, 0, 6, 0], [6, 0, 6, 0, 6, 6, 0, 6, 6, 6, 6, 0, 0, 0, 0], [0, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 0, 6], [0, 6, 0, 0, 0, 0, 0, 6, 0, 6, 6, 6, 6, 6, 6], [0, 6, 6, 6, 6, 0, 0, 0, 0, 6, 0, 6, 0, 6, 6], [6, 0, 0, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 0, 0], [0, 6, 6, 0, 0, 6, 6, 0, 0, 0, 0, 6, 0, 0, 6], [0, 3, 3, 0, 3, 3, 0, 3, 3, 0, 3, 0, 0, 3, 0], [3, 3, 3, 0, 0, 3, 0, 3, 0, 0, 3, 3, 0, 0, 3], [0, 0, 0, 0, 0, 3, 3, 0, 3, 3, 0, 0, 3, 3, 3], [3, 3, 3, 3, 0, 3, 3, 3, 0, 3, 3, 3, 0, 3, 0], [3, 0, 0, 0, 3, 3, 3, 3, 3, 0, 3, 0, 0, 0, 3], [3, 3, 3, 3, 3, 0, 3, 0, 3, 3, 3, 0, 0, 0, 0], [0, 3, 3, 3, 3, 3, 3, 3, 0, 3, 0, 0, 3, 3, 0], [3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3], [0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 0, 0, 3, 3, 3], [0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 3], [3, 0, 0, 0, 3, 3, 0, 0, 0, 3, 3, 0, 3, 3, 3], [0, 0, 0, 3, 3, 0, 3, 0, 0, 3, 3, 3, 0, 0, 0], [3, 3, 3, 3, 0, 0, 0, 3, 3, 3, 3, 0, 3, 0, 3], [3, 3, 3, 3, 0, 3, 0, 3, 0, 3, 3, 3, 3, 0, 0], [3, 0, 3, 0, 0, 0, 0, 3, 3, 0, 3, 0, 0, 3, 0]], [[0, 0, 0, 0, 7, 0, 7, 7, 7, 7, 0, 0, 7, 7, 7], [7, 0, 7, 7, 7, 7, 0, 7, 7, 0, 0, 0, 0, 7, 0], [7, 7, 0, 7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7], [0, 0, 7, 7, 7, 7, 7, 0, 0, 0, 7, 0, 0, 0, 0], [0, 0, 0, 7, 0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 0], [0, 7, 0, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7, 7, 0], [0, 7, 0, 7, 0, 0, 0, 0, 7, 7, 7, 0, 7, 0, 0], [7, 7, 0, 0, 7, 7, 7, 0, 0, 0, 0, 7, 0, 0, 0], [7, 0, 0, 0, 7, 0, 7, 7, 0, 7, 7, 0, 7, 0, 7], [0, 7, 0, 7, 0, 0, 7, 0, 0, 0, 0, 7, 7, 7, 7], [7, 7, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 0, 7, 0], [7, 0, 7, 7, 7, 7, 7, 0, 7, 0, 0, 0, 0, 0, 0], [7, 0, 0, 0, 0, 7, 7, 7, 7, 0, 7, 0, 7, 0, 0], [0, 7, 7, 0, 0, 0, 7, 7, 7, 7, 0, 0, 0, 7, 7], [7, 0, 0, 7, 7, 0, 0, 7, 7, 7, 7, 0, 7, 7, 0], [0, 3, 3, 0, 3, 3, 0, 3, 3, 0, 3, 0, 0, 3, 0], [3, 3, 3, 0, 0, 3, 0, 3, 0, 0, 3, 3, 0, 0, 3], [0, 0, 0, 0, 0, 3, 3, 0, 3, 3, 0, 0, 3, 3, 3], [3, 3, 3, 3, 0, 3, 3, 3, 0, 3, 3, 3, 0, 3, 0], [3, 0, 0, 0, 3, 3, 3, 3, 3, 0, 3, 0, 0, 0, 3], [3, 3, 3, 3, 3, 0, 3, 0, 3, 3, 3, 0, 0, 0, 0], [0, 3, 3, 3, 3, 3, 3, 3, 0, 3, 0, 0, 3, 3, 0], [3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3], [0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 0, 0, 3, 3, 3], [0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 3], [3, 0, 0, 0, 3, 3, 0, 0, 0, 3, 3, 0, 3, 3, 3], [0, 0, 0, 3, 3, 0, 3, 0, 0, 3, 3, 3, 0, 0, 0], [3, 3, 3, 3, 0, 0, 0, 3, 3, 3, 3, 0, 3, 0, 3], [3, 3, 3, 3, 0, 3, 0, 3, 0, 3, 3, 3, 3, 0, 0], [3, 0, 3, 0, 0, 0, 0, 3, 3, 0, 3, 0, 0, 3, 0]], [[0, 0, 0, 0, 9, 0, 9, 9, 9, 9, 0, 0, 9, 9, 9], [9, 0, 9, 9, 9, 9, 0, 9, 9, 0, 0, 0, 0, 9, 0], [9, 9, 0, 9, 0, 9, 9, 9, 9, 9, 9, 0, 9, 9, 9], [0, 0, 9, 9, 9, 9, 9, 0, 0, 0, 9, 0, 0, 0, 0], [0, 0, 0, 9, 0, 9, 0, 0, 9, 0, 0, 0, 9, 0, 0], [0, 9, 0, 9, 9, 9, 9, 0, 9, 9, 0, 9, 9, 9, 0], [0, 9, 0, 9, 0, 0, 0, 0, 9, 9, 9, 0, 9, 0, 0], [9, 9, 0, 0, 9, 9, 9, 0, 0, 0, 0, 9, 0, 0, 0], [9, 0, 0, 0, 9, 0, 9, 9, 0, 9, 9, 0, 9, 0, 9], [0, 9, 0, 9, 0, 0, 9, 0, 0, 0, 0, 9, 9, 9, 9], [9, 9, 0, 0, 0, 0, 9, 9, 9, 9, 9, 9, 0, 9, 0], [9, 0, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0, 0, 0, 0], [9, 0, 0, 0, 0, 9, 9, 9, 9, 0, 9, 0, 9, 0, 0], [0, 9, 9, 0, 0, 0, 9, 9, 9, 9, 0, 0, 0, 9, 9], [9, 0, 0, 9, 9, 0, 0, 9, 9, 9, 9, 0, 9, 9, 0], [0, 3, 3, 0, 3, 3, 0, 3, 3, 0, 3, 0, 0, 3, 0], [3, 3, 3, 0, 0, 3, 0, 3, 0, 0, 3, 3, 0, 0, 3], [0, 0, 0, 0, 0, 3, 3, 0, 3, 3, 0, 0, 3, 3, 3], [3, 3, 3, 3, 0, 3, 3, 3, 0, 3, 3, 3, 0, 3, 0], [3, 0, 0, 0, 3, 3, 3, 3, 3, 0, 3, 0, 0, 0, 3], [3, 3, 3, 3, 3, 0, 3, 0, 3, 3, 3, 0, 0, 0, 0], [0, 3, 3, 3, 3, 3, 3, 3, 0, 3, 0, 0, 3, 3, 0], [3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3], [0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 0, 0, 3, 3, 3], [0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 3], [3, 0, 0, 0, 3, 3, 0, 0, 0, 3, 3, 0, 3, 3, 3], [0, 0, 0, 3, 3, 0, 3, 0, 0, 3, 3, 3, 0, 0, 0], [3, 3, 3, 3, 0, 0, 0, 3, 3, 3, 3, 0, 3, 0, 3], [3, 3, 3, 3, 0, 3, 0, 3, 0, 3, 3, 3, 3, 0, 0], [3, 0, 3, 0, 0, 0, 0, 3, 3, 0, 3, 0, 0, 3, 0]], [[0, 0, 0, 0, 8, 0, 8, 8, 8, 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1, 1, 1], [1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1], [0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0], [0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0], [1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0], [1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1], [0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0], [0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1], [1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1], [0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1], [0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1], [0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1]]]}]}, "SCMdky5or20x20": {"scm": "def get_xy(upper_color,lower_color,output_color,size):\n\tupper = np.random.choice([0,upper_color], size = size)\n\tlower = np.random.choice([0,lower_color], size = size)\n\tx = np.concatenate((upper,lower), axis = 0).astype(int)\n\ty = np.logical_or(upper,lower).astype(int)\n\ty *= output_color\n\treturn x,y", "latex": "\\begin{align}\n            \\mathbf{u}[i,j] &\\sim \\mathrm{Ber}(0.5) & \\text{for} \\; i \\in [0,5], j \\in [0,4] \\\\\n            \\mathbf{x}[i,j] &= \\begin{cases} 9 \\cdot \\mathbf{u}[i,j] \\quad \\text{if} \\; i < 3 \\\\ 4 \\cdot \\mathbf{u}[i,j] \\quad \\text{else} \\end{cases} & \\text{for} \\; i \\in [0,5], j \\in [0,4] \\\\\n            \\mathbf{y}[i,j] &= {6 \\cdot \\mathrm{xor} \\left( \\mathbf{x}[i,j], \\; \\mathbf{x}[i+3,j] \\right) & \\text{for} \\; i \\in [0,2], j \\in [0,4].\n        \\end{align}", "test": [{"input": [[0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2], [0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0], [2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0], [0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0], [0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2], [2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2], [0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 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6, 0, 6, 0, 6, 0, 6, 0, 0], [6, 6, 6, 6, 0, 0, 6, 0, 0, 6, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6, 0, 6, 6, 6, 6, 0, 6, 6], [6, 0, 6, 6, 6, 6, 0, 6, 6, 0, 6, 6, 6, 6, 6, 6, 0, 0, 6, 6], [6, 6, 6, 6, 6, 0, 6, 0, 6, 0, 6, 6, 0, 6, 0, 6, 6, 6, 6, 0], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 6, 6, 0, 6, 6, 6, 0]]]}, {"input": [[2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2], [0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0], [2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0], [0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0], [2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2], [0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0], [2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2], [2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2], [2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0], [0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2], [0, 2, 0, 2, 2, 0, 2, 0, 0, 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6, 6, 0, 0, 0, 6], [6, 0, 0, 0, 6, 6, 6, 6, 6, 6, 0, 6, 0, 6, 6, 0, 6, 6, 0, 6]], "cf_types": ["do_hard upper (0)", "do_hard upper (1)", "do_hard lower (0)", "do_hard lower (1)", "do_soft (fun)", "do_soft (color = 5)", "do_soft (color = 3)", "do_soft (color = 9)"], "cf_inputs": [[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2], [0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0], [0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0], [0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 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\ No newline at end of file
diff --git a/static_evaluation_set/v0_09-01-25/logical/causal_arc_logical.json b/static_evaluation_set/v0_09-01-25/logical/causal_arc_logical.json
new file mode 100644
index 0000000000000000000000000000000000000000..88ff9b54d7f7df8d4279e6eb1e6f4195fb7ae405
--- /dev/null
+++ b/static_evaluation_set/v0_09-01-25/logical/causal_arc_logical.json
@@ -0,0 +1,3 @@
+version https://git-lfs.github.com/spec/v1
+oid sha256:010e89b8980675a214e1ea866d92081db3969c06e2c3f31aa051817d8f3a715f
+size 336584246
diff --git a/static_evaluation_set/v0_09-01-25/logical/causal_arc_logical_solutions.json b/static_evaluation_set/v0_09-01-25/logical/causal_arc_logical_solutions.json
new file mode 100644
index 0000000000000000000000000000000000000000..a203063058587bbde7a11e141579f46097c0946a
--- /dev/null
+++ b/static_evaluation_set/v0_09-01-25/logical/causal_arc_logical_solutions.json
@@ -0,0 +1,4968 @@
+{
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+        ]
+    ],
+    "SCMdky5!and20x20": [
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+                1
+            ]
+        ]
+    ]
+}
\ No newline at end of file
diff --git a/static_evaluation_set/v0_09-01-25/ordering/causal_arc_ordering.json b/static_evaluation_set/v0_09-01-25/ordering/causal_arc_ordering.json
new file mode 100644
index 0000000000000000000000000000000000000000..de4d8b56d376fcb51fe6e7a8ba32bcab70aeebce
--- /dev/null
+++ b/static_evaluation_set/v0_09-01-25/ordering/causal_arc_ordering.json
@@ -0,0 +1,212123 @@
+{
+    "SCMv4bg!15x9": {
+        "scm": "def SCMv4bg(size: tuple = (10,9)):\n            _u = np.random.binomial(n = 1, p = 0.6, size = size)\n            x = 9*_u\n            y = x.copy()\n            for j in range(y.shape[1]):\n                y[:,j][y[:,j] == 0] = j\n            return x,y\n        ",
+        "test": [
+            {
+                "input": [
+                    [
+                        9,
+                        0,
+                        0,
+                        0,
+                        9,
+                        9,
+                        9,
+                        9,
+                        0
+                    ],
+                    [
+                        0,
+                        9,
+                        9,
+                        0,
+                        0,
+                        9,
+                        9,
+                        0,
+                        0
+                    ],
+                    [
+                        0,
+                        9,
+                        9,
+                        9,
+                        9,
+                        9,
+                        0,
+                        9,
+                        0
+                    ],
+                    [
+                        9,
+                        9,
+                        0,
+                        9,
+                        0,
+                        9,
+                        0,
+                        9,
+                        9
+                    ],
+                    [
+                        0,
+                        0,
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+                        0,
+                        9,
+                        0,
+                        9,
+                        9,
+                        9
+                    ],
+                    [
+                        0,
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+                        9,
+                        0,
+                        9,
+                        9,
+                        0,
+                        0,
+                        0
+                    ],
+                    [
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+                        0,
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+                        9,
+                        9,
+                        9,
+                        9
+                    ],
+                    [
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+                        0,
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+                        0,
+                        0,
+                        0
+                    ],
+                    [
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+                        0,
+                        0,
+                        0,
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+                        9,
+                        0,
+                        0
+                    ],
+                    [
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+                        0,
+                        0,
+                        0,
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+                        9,
+                        9
+                    ],
+                    [
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+                        0,
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+                    ],
+                    [
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+                    ],
+                    [
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+                    ],
+                    [
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+                        0,
+                        9,
+                        0,
+                        9,
+                        9,
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+                    ],
+                    [
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+                        0,
+                        9,
+                        0,
+                        9,
+                        0,
+                        0,
+                        0,
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+                    ]
+                ],
+                "output": [
+                    [
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+                        1,
+                        2,
+                        3,
+                        9,
+                        9,
+                        9,
+                        9,
+                        8
+                    ],
+                    [
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+                    ],
+                    [
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+                        6,
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+                    ],
+                    [
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+                        6,
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+                    ],
+                    [
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+                    [
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+                    [
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+                    ],
+                    [
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+                    ],
+                    [
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+                    [
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+                    ],
+                    [
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+                    [
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+                    ],
+                    [
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+                    ],
+                    [
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+                    ],
+                    [
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+                        3,
+                        9,
+                        5,
+                        6,
+                        7,
+                        9
+                    ]
+                ]
+            }
+        ],
+        "train": [
+            {
+                "input": [
+                    [
+                        9,
+                        0,
+                        9,
+                        9,
+                        9,
+                        0,
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+                    [
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+                    [
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+                    ],
+                    [
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+                    ],
+                    [
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+                    [
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+                    [
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+                        9,
+                        9,
+                        0,
+                        9,
+                        9,
+                        0,
+                        9,
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+                    ]
+                ],
+                "output": [
+                    [
+                        9,
+                        1,
+                        9,
+                        9,
+                        9,
+                        5,
+                        9,
+                        9,
+                        9
+                    ],
+                    [
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+                        3,
+                        9,
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+                        9,
+                        7,
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+                    ],
+                    [
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+                        7,
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+                    ],
+                    [
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+                    ],
+                    [
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+                    [
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+                    ],
+                    [
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+                    ],
+                    [
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+                    ],
+                    [
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+                    [
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+                    [
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+                    ],
+                    [
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+                        9,
+                        3,
+                        9,
+                        9,
+                        6,
+                        9,
+                        9
+                    ]
+                ],
+                "cf_types": [
+                    "do_hard (every 2 column = 9)",
+                    "do_hard (every 3 column = 9)",
+                    "do_soft (geometric transform = flipud)",
+                    "do_soft (geometric transform = fliplr)",
+                    "do_soft (geometric transform = rot90)"
+                ],
+                "cf_inputs": [
+                    [
+                        [
+                            9,
+                            0,
+                            9,
+                            9,
+                            9,
+                            0,
+                            9,
+                            9,
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+                        ],
+                        [
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+                            0,
+                            9,
+                            0,
+                            9,
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+                            0,
+                            9
+                        ],
+                        [
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+                        ],
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+                        [
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+                        ],
+                        [
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+                        ],
+                        [
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+                        ]
+                    ],
+                    [
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+                        ],
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+                        ],
+                        [
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+                        [
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+                        ],
+                        [
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+                        ],
+                        [
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+                            2,
+                            3,
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+                            7,
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+                        ],
+                        [
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+                            2,
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+                            9,
+                            6,
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+                            8
+                        ],
+                        [
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+                            9,
+                            3,
+                            9,
+                            9,
+                            9,
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+                        ],
+                        [
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+                            9,
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+                            3,
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+                            5,
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+                            9,
+                            8
+                        ],
+                        [
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+                            1,
+                            2,
+                            3,
+                            9,
+                            5,
+                            6,
+                            9,
+                            9
+                        ],
+                        [
+                            9,
+                            9,
+                            9,
+                            9,
+                            9,
+                            5,
+                            9,
+                            9,
+                            9
+                        ],
+                        [
+                            0,
+                            9,
+                            2,
+                            9,
+                            9,
+                            9,
+                            9,
+                            7,
+                            9
+                        ],
+                        [
+                            9,
+                            9,
+                            2,
+                            9,
+                            9,
+                            5,
+                            6,
+                            9,
+                            9
+                        ],
+                        [
+                            9,
+                            9,
+                            9,
+                            3,
+                            9,
+                            9,
+                            9,
+                            9,
+                            9
+                        ],
+                        [
+                            9,
+                            9,
+                            9,
+                            3,
+                            4,
+                            5,
+                            9,
+                            7,
+                            8
+                        ]
+                    ]
+                ]
+            }
+        ]
+    },
+    "SCMv4bg!30x9": {
+        "scm": "def SCMv4bg(size: tuple = (10,9)):\n            _u = np.random.binomial(n = 1, p = 0.6, size = size)\n            x = 9*_u\n            y = x.copy()\n            for j in range(y.shape[1]):\n                y[:,j][y[:,j] == 0] = j\n            return x,y\n        ",
+        "test": [
+            {
+                "input": [
+                    [
+                        0,
+                        9,
+                        0,
+                        9,
+                        9,
+                        0,
+                        0,
+                        9,
+                        9
+                    ],
+                    [
+                        9,
+                        9,
+                        0,
+                        9,
+                        9,
+                        0,
+                        0,
+                        9,
+                        9
+                    ],
+                    [
+                        9,
+                        0,
+                        0,
+                        0,
+                        0,
+                        9,
+                        9,
+                        9,
+                        0
+                    ],
+                    [
+                        9,
+                        9,
+                        0,
+                        9,
+                        0,
+                        9,
+                        9,
+                        9,
+                        9
+                    ],
+                    [
+                        0,
+                        0,
+                        9,
+                        0,
+                        9,
+                        9,
+                        9,
+                        0,
+                        9
+                    ],
+                    [
+                        0,
+                        9,
+                        0,
+                        9,
+                        0,
+                        9,
+                        9,
+                        0,
+                        9
+                    ],
+                    [
+                        0,
+                        9,
+                        0,
+                        0,
+                        9,
+                        0,
+                        0,
+                        0,
+                        9
+                    ],
+                    [
+                        9,
+                        9,
+                        9,
+                        0,
+                        0,
+                        0,
+                        0,
+                        9,
+                        9
+                    ],
+                    [
+                        0,
+                        0,
+                        9,
+                        0,
+                        9,
+                        0,
+                        0,
+                        0,
+                        9
+                    ],
+                    [
+                        9,
+                        0,
+                        9,
+                        9,
+                        9,
+                        0,
+                        0,
+                        0,
+                        9
+                    ],
+                    [
+                        9,
+                        9,
+                        0,
+                        9,
+                        9,
+                        0,
+                        9,
+                        0,
+                        9
+                    ],
+                    [
+                        0,
+                        0,
+                        0,
+                        0,
+                        9,
+                        9,
+                        9,
+                        0,
+                        0
+                    ],
+                    [
+                        9,
+                        9,
+                        9,
+                        9,
+                        0,
+                        9,
+                        0,
+                        0,
+                        0
+                    ],
+                    [
+                        9,
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+                        9,
+                        9,
+                        9,
+                        0,
+                        9,
+                        0,
+                        9
+                    ],
+                    [
+                        0,
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+                        0,
+                        0,
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+                        9,
+                        9,
+                        0,
+                        0
+                    ],
+                    [
+                        9,
+                        0,
+                        9,
+                        9,
+                        9,
+                        0,
+                        0,
+                        0,
+                        9
+                    ],
+                    [
+                        9,
+                        9,
+                        0,
+                        9,
+                        9,
+                        9,
+                        9,
+                        0,
+                        9
+                    ],
+                    [
+                        9,
+                        0,
+                        0,
+                        0,
+                        0,
+                        0,
+                        0,
+                        0,
+                        9
+                    ],
+                    [
+                        9,
+                        9,
+                        0,
+                        0,
+                        0,
+                        9,
+                        9,
+                        0,
+                        0
+                    ],
+                    [
+                        9,
+                        9,
+                        9,
+                        9,
+                        9,
+                        9,
+                        0,
+                        9,
+                        0
+                    ],
+                    [
+                        9,
+                        0,
+                        9,
+                        9,
+                        0,
+                        0,
+                        0,
+                        9,
+                        9
+                    ],
+                    [
+                        0,
+                        0,
+                        0,
+                        9,
+                        9,
+                        9,
+                        0,
+                        0,
+                        9
+                    ],
+                    [
+                        9,
+                        0,
+                        9,
+                        9,
+                        9,
+                        9,
+                        9,
+                        9,
+                        9
+                    ],
+                    [
+                        0,
+                        0,
+                        0,
+                        9,
+                        0,
+                        0,
+                        9,
+                        9,
+                        9
+                    ],
+                    [
+                        9,
+                        9,
+                        9,
+                        9,
+                        9,
+                        9,
+                        9,
+                        9,
+                        9
+                    ],
+                    [
+                        9,
+                        0,
+                        0,
+                        0,
+                        9,
+                        0,
+                        9,
+                        0,
+                        0
+                    ],
+                    [
+                        9,
+                        9,
+                        9,
+                        9,
+                        0,
+                        9,
+                        0,
+                        0,
+                        9
+                    ],
+                    [
+                        0,
+                        9,
+                        9,
+                        0,
+                        9,
+                        0,
+                        9,
+                        9,
+                        0
+                    ],
+                    [
+                        0,
+                        9,
+                        9,
+                        0,
+                        0,
+                        9,
+                        0,
+                        0,
+                        0
+                    ],
+                    [
+                        0,
+                        0,
+                        9,
+                        9,
+                        0,
+                        9,
+                        0,
+                        0,
+                        0
+                    ]
+                ],
+                "output": [
+                    [
+                        0,
+                        9,
+                        2,
+                        9,
+                        9,
+                        5,
+                        6,
+                        9,
+                        9
+                    ],
+                    [
+                        9,
+                        9,
+                        2,
+                        9,
+                        9,
+                        5,
+                        6,
+                        9,
+                        9
+                    ],
+                    [
+                        9,
+                        1,
+                        2,
+                        3,
+                        4,
+                        9,
+                        9,
+                        9,
+                        8
+                    ],
+                    [
+                        9,
+                        9,
+                        2,
+                        9,
+                        4,
+                        9,
+                        9,
+                        9,
+                        9
+                    ],
+                    [
+                        0,
+                        1,
+                        9,
+                        3,
+                        9,
+                        9,
+                        9,
+                        7,
+                        9
+                    ],
+                    [
+                        0,
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+                        2,
+                        9,
+                        4,
+                        9,
+                        9,
+                        7,
+                        9
+                    ],
+                    [
+                        0,
+                        9,
+                        2,
+                        3,
+                        9,
+                        5,
+                        6,
+                        7,
+                        9
+                    ],
+                    [
+                        9,
+                        9,
+                        9,
+                        3,
+                        4,
+                        5,
+                        6,
+                        9,
+                        9
+                    ],
+                    [
+                        0,
+                        1,
+                        9,
+                        3,
+                        9,
+                        5,
+                        6,
+                        7,
+                        9
+                    ],
+                    [
+                        9,
+                        1,
+                        9,
+                        9,
+                        9,
+                        5,
+                        6,
+                        7,
+                        9
+                    ],
+                    [
+                        9,
+                        9,
+                        2,
+                        9,
+                        9,
+                        5,
+                        9,
+                        7,
+                        9
+                    ],
+                    [
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+                        1,
+                        2,
+                        3,
+                        9,
+                        9,
+                        9,
+                        7,
+                        8
+                    ],
+                    [
+                        9,
+                        9,
+                        9,
+                        9,
+                        4,
+                        9,
+                        6,
+                        7,
+                        8
+                    ],
+                    [
+                        9,
+                        9,
+                        9,
+                        9,
+                        9,
+                        5,
+                        9,
+                        7,
+                        9
+                    ],
+                    [
+                        0,
+                        9,
+                        2,
+                        3,
+                        9,
+                        9,
+                        9,
+                        7,
+                        8
+                    ],
+                    [
+                        9,
+                        1,
+                        9,
+                        9,
+                        9,
+                        5,
+                        6,
+                        7,
+                        9
+                    ],
+                    [
+                        9,
+                        9,
+                        2,
+                        9,
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+                    ]
+                ]
+            }
+        ]
+    },
+    "SCMye7g!15x15": {
+        "scm": "def SCMye7g(n: int = 10):\n            size = (n-2,n)\n            colors = list(range(1,10))\n            order = np.random.choice(colors, \n                                     size = 3, #np.random.randint(low = 3, high = 7),\n                                     replace = False)\n            final_row = list(order)+[0]*(n-len(order))\n            \n            x = np.zeros(size).astype(int)\n            for i in range(0,size[0],2):\n                j = np.random.randint(low = 0, high = size[1])\n                x[i,j] = np.random.choice(order, size = 1)[0]\n            x = np.concatenate((x,np.zeros((1,n)))).astype(int)\n            x = np.concatenate((x,np.array(final_row).reshape(1,-1)), axis = 0)\n            \n            y = x.copy()\n            for i in range(y.shape[0]):\n                for j in range(y.shape[1]):\n                    if y[i,j] == 0:\n                        continue\n                    elif y[i,j] == order[0]:\n                        try:\n                            y[i,j+1] = order[1]\n                            y[i,j+2] = order[2]\n                        except:\n                            pass\n                    elif y[i,j] == order[1]:\n                        try:\n                            y[i,j+1] = order[2]\n                            y[i,j-1] = order[0]\n                        except:\n                            pass\n                    elif y[i,j] == order[2]:\n                        try:\n                            y[i,j-1] = order[1]\n                            y[i,j-2] = order[0]\n                        except:\n                            pass\n            return x,y\n        ",
+        "test": [
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+                "output": [
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+            }
+        ]
+    },
+    "SCMye7g!20x20": {
+        "scm": "def SCMye7g(n: int = 10):\n            size = (n-2,n)\n            colors = list(range(1,10))\n            order = np.random.choice(colors, \n                                     size = 3, #np.random.randint(low = 3, high = 7),\n                                     replace = False)\n            final_row = list(order)+[0]*(n-len(order))\n            \n            x = np.zeros(size).astype(int)\n            for i in range(0,size[0],2):\n                j = np.random.randint(low = 0, high = size[1])\n                x[i,j] = np.random.choice(order, size = 1)[0]\n            x = np.concatenate((x,np.zeros((1,n)))).astype(int)\n            x = np.concatenate((x,np.array(final_row).reshape(1,-1)), axis = 0)\n            \n            y = x.copy()\n            for i in range(y.shape[0]):\n                for j in range(y.shape[1]):\n                    if y[i,j] == 0:\n                        continue\n                    elif y[i,j] == order[0]:\n                        try:\n                            y[i,j+1] = order[1]\n                            y[i,j+2] = order[2]\n                        except:\n                            pass\n                    elif y[i,j] == order[1]:\n                        try:\n                            y[i,j+1] = order[2]\n                            y[i,j-1] = order[0]\n                        except:\n                            pass\n                    elif y[i,j] == order[2]:\n                        try:\n                            y[i,j-1] = order[1]\n                            y[i,j-2] = order[0]\n                        except:\n                            pass\n            return x,y\n        ",
+        "test": [
+            {
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+            }
+        ]
+    },
+    "SCMye7g!25x25": {
+        "scm": "def SCMye7g(n: int = 10):\n            size = (n-2,n)\n            colors = list(range(1,10))\n            order = np.random.choice(colors, \n                                     size = 3, #np.random.randint(low = 3, high = 7),\n                                     replace = False)\n            final_row = list(order)+[0]*(n-len(order))\n            \n            x = np.zeros(size).astype(int)\n            for i in range(0,size[0],2):\n                j = np.random.randint(low = 0, high = size[1])\n                x[i,j] = np.random.choice(order, size = 1)[0]\n            x = np.concatenate((x,np.zeros((1,n)))).astype(int)\n            x = np.concatenate((x,np.array(final_row).reshape(1,-1)), axis = 0)\n            \n            y = x.copy()\n            for i in range(y.shape[0]):\n                for j in range(y.shape[1]):\n                    if y[i,j] == 0:\n                        continue\n                    elif y[i,j] == order[0]:\n                        try:\n                            y[i,j+1] = order[1]\n                            y[i,j+2] = order[2]\n                        except:\n                            pass\n                    elif y[i,j] == order[1]:\n                        try:\n                            y[i,j+1] = order[2]\n                            y[i,j-1] = order[0]\n                        except:\n                            pass\n                    elif y[i,j] == order[2]:\n                        try:\n                            y[i,j-1] = order[1]\n                            y[i,j-2] = order[0]\n                        except:\n                            pass\n            return x,y\n        ",
+        "test": [
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+                "output": [
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+    "SCMswcs": {
+        "scm": "def SCMswcs(n: int = 4):\n            input_grids = []\n            output_grids = []\n            for i in range(n):\n                _u = np.random.choice(list(range(1,10)), size = (2,2), replace = False)\n                x = np.pad(_u, pad_width = 1)\n                y = x.copy()\n                y[0,0] = x[1,1]\n                y[3,0] = x[2,1]\n                y[0,3] = x[1,2]\n                y[3,3] = x[2,2]\n                input_grids.append(x)\n                output_grids.append(y)\n            x = np.concatenate(input_grids, axis = 1)\n            y = np.concatenate(output_grids, axis = 1)\n            return x,y\n        ",
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+        "train": [
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+    "SCMtzlq!25x25": {
+        "scm": "def SCMtzlq(n: int = 8, size: tuple = (20,20)):\n            sprites = []\n            order_row = np.zeros((2,size[1])).astype(int)\n            order = np.random.choice(range(1,10), size = n, replace = False)\n            order_row[1,:n] = order\n            \n            x = np.zeros((size[0]-2,size[1])).astype(int)\n            for i in range(n):\n                sprite = np.random.binomial(n = 1, size = (3,3), p = 0.8)*order[i]\n                sprites.append(sprite)\n                x = self.a.add_sprite(input_grid = x, sprite = sprite)\n            x = np.concatenate((x,order_row))\n            y = np.concatenate(sprites, axis = 1)\n            return x,y\n        ",
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+                    "do_soft (geometric transform = <function fliplr at 0x10770d440>)"
+                ],
+                "cf_inputs": [
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+    "SCMtzlq!30x30": {
+        "scm": "def SCMtzlq(n: int = 8, size: tuple = (20,20)):\n            sprites = []\n            order_row = np.zeros((2,size[1])).astype(int)\n            order = np.random.choice(range(1,10), size = n, replace = False)\n            order_row[1,:n] = order\n            \n            x = np.zeros((size[0]-2,size[1])).astype(int)\n            for i in range(n):\n                sprite = np.random.binomial(n = 1, size = (3,3), p = 0.8)*order[i]\n                sprites.append(sprite)\n                x = self.a.add_sprite(input_grid = x, sprite = sprite)\n            x = np.concatenate((x,order_row))\n            y = np.concatenate(sprites, axis = 1)\n            return x,y\n        ",
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+    "SCMffb8": {
+        "scm": "def SCMffb8():\n            sprite_sizes = [1,2,3,4]\n            order = np.random.choice([1,2,3,4,6,7,8,9], size = 4, replace = False)\n            order_rows = np.zeros((4,size[1])).astype(int)\n            order_rows[-1,0] = order[0]\n            order_rows[-2:,1] = order[1]\n            order_rows[-3:,2] = order[2]\n            order_rows[-4:,3] = order[3]\n            x = np.zeros((size[0]-4,size[1])).astype(int)\n            sprites = []\n            for i in range(len(sprite_sizes)):\n                if sprite_sizes[i] == 1:\n                    sprite = np.array([[order[i]]])\n                elif sprite_sizes[i] == 2:\n                    sprite = np.ones((2,2)).astype(int)*order[i]\n                else:\n                    sprite = np.random.binomial(n = 1, size = (sprite_sizes[i],sprite_sizes[i]), p = 0.8)*order[i]\n                sprites.append(sprite)\n                x = self.a.add_sprite(input_grid = x, sprite = sprite)\n            y = x.copy()\n            for color in order:\n                x[x==color] = 5\n            x = np.concatenate((x,order_rows))\n            return x,y\n        ",
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+}
\ No newline at end of file
diff --git a/static_evaluation_set/v0_09-01-25/ordering/causal_arc_ordering_solutions.json b/static_evaluation_set/v0_09-01-25/ordering/causal_arc_ordering_solutions.json
new file mode 100644
index 0000000000000000000000000000000000000000..09d1fe1cc3a8961f5a60fbecfb541e7de5d2000e
--- /dev/null
+++ b/static_evaluation_set/v0_09-01-25/ordering/causal_arc_ordering_solutions.json
@@ -0,0 +1 @@
+{"SCMv4bg!15x9": [[[9, 1, 2, 3, 9, 9, 9, 9, 8], [0, 9, 9, 3, 4, 9, 9, 7, 8], [0, 9, 9, 9, 9, 9, 6, 9, 8], [9, 9, 2, 9, 4, 9, 6, 9, 9], [0, 1, 9, 3, 9, 5, 9, 9, 9], [0, 9, 9, 3, 9, 9, 6, 7, 8], [9, 1, 9, 3, 4, 9, 9, 9, 9], [0, 1, 2, 3, 4, 9, 6, 7, 8], [0, 1, 2, 3, 4, 9, 9, 7, 8], [0, 1, 9, 3, 4, 5, 9, 9, 9], [9, 9, 2, 9, 4, 5, 9, 7, 8], [0, 1, 2, 9, 9, 9, 9, 7, 8], [0, 1, 2, 9, 9, 9, 6, 7, 8], [9, 9, 2, 9, 4, 9, 9, 7, 9], [0, 1, 9, 3, 9, 5, 6, 7, 9]]], "SCMv4bg!30x9": [[[0, 9, 2, 9, 9, 5, 6, 9, 9], [9, 9, 2, 9, 9, 5, 6, 9, 9], [9, 1, 2, 3, 4, 9, 9, 9, 8], [9, 9, 2, 9, 4, 9, 9, 9, 9], [0, 1, 9, 3, 9, 9, 9, 7, 9], [0, 9, 2, 9, 4, 9, 9, 7, 9], [0, 9, 2, 3, 9, 5, 6, 7, 9], [9, 9, 9, 3, 4, 5, 6, 9, 9], [0, 1, 9, 3, 9, 5, 6, 7, 9], [9, 1, 9, 9, 9, 5, 6, 7, 9], [9, 9, 2, 9, 9, 5, 9, 7, 9], [0, 1, 2, 3, 9, 9, 9, 7, 8], [9, 9, 9, 9, 4, 9, 6, 7, 8], [9, 9, 9, 9, 9, 5, 9, 7, 9], [0, 9, 2, 3, 9, 9, 9, 7, 8], [9, 1, 9, 9, 9, 5, 6, 7, 9], [9, 9, 2, 9, 9, 9, 9, 7, 9], [9, 1, 2, 3, 4, 5, 6, 7, 9], [9, 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