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puzzle1
Task: Solve this 4x4 Rush Hour puzzle - move car "C" from position [1,2] to the TARGET at position [2,4] given the position of the blockers below. Current Grid State (JSON format): [["B1","C",".","."],[".","B4","B3","B5"],[".",".",".","."],[".","B2",".","."]] Current Pieces: - Car "C": Position [1,2] - 1x1 Blockers (B1, B2, etc.): Single-cell obstacles that can be moved to clear a path - B1 at [1,1] - B4 at [2,2] - B3 at [2,3] - B5 at [2,4] - B2 at [4,2] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - None present - TARGET: Position [2,4] Movement Rules: - Any piece (car "C", 1x1 blockers "B1, B2, etc.", or 2x1 blockers "H1, H2, etc.") can move UP, DOWN, LEFT, or RIGHT - Each move is exactly ONE square in any direction for the entire piece - For 2x1 blockers: The entire piece moves together as a unit (both cells move simultaneously) - Pieces strictly CANNOT move outside the 4x4 grid - Pieces strictly CANNOT move into occupied squares (i.e. squares that already have another piece) - At ANY instant, there CANNOT be two pieces occupying the same square - The same piece can move multiple times in a row if needed - You win when car "C" reaches the TARGET cell Coordinate System: - Use [row,col] format where [1,1] is top-left, [4,4] is bottom-right - Each cell shows its coordinates in black text: (row,col) - For 2x1 blockers, both occupied cells are shown in the piece description Expected Output Format: Wrap your solution in <solution> tags and provide it as a numbered list of moves in this exact format: <solution> Step 1: [PIECE] [start_position] -> [end_position] Step 2: [PIECE] [start_position] -> [end_position] ... </solution> For 1x1 pieces (car "C" and blockers "B1", "B2", etc.): - Use single coordinate: C [2,1] -> [2,2] For 2x1 pieces (blockers "H1", "H2", etc.): - List both coordinates: H1 [[1,1],[1,2]] -> [[2,1],[2,2]] Example response format: <solution> Step 1: B2 [3,2] -> [4,2] Step 2: H1 [(2,3), (3,3)] -> [(1,3), (2,3)] Step 3: B2 [2,4] -> [1,4] Step 4: C [3,1] -> [3,2] Step 5: C [3,2] -> [3,3] Step 6: C [3,3] -> [3,4] Step 7: C [3,4] -> [2,4] </solution>
<solution> Step 1: B5 [2,4] -> [3,4] Step 2: C [1,2] -> [1,3] Step 3: C [1,3] -> [1,4] Step 4: C [1,4] -> [2,4] </solution>
4
easy
puzzle2
Task: Solve this 4x4 Rush Hour puzzle - move car "C" from position [4,1] to the TARGET at position [2,4] given the position of the blockers below. Current Grid State (JSON format): [[".","B1",".","."],[".",".",".","."],[".","B4",".","B2"],["C",".","B3","."]] Current Pieces: - Car "C": Position [4,1] - 1x1 Blockers (B1, B2, etc.): Single-cell obstacles that can be moved to clear a path - B1 at [1,2] - B4 at [3,2] - B2 at [3,4] - B3 at [4,3] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - None present - TARGET: Position [2,4] Movement Rules: - Any piece (car "C", 1x1 blockers "B1, B2, etc.", or 2x1 blockers "H1, H2, etc.") can move UP, DOWN, LEFT, or RIGHT - Each move is exactly ONE square in any direction for the entire piece - For 2x1 blockers: The entire piece moves together as a unit (both cells move simultaneously) - Pieces strictly CANNOT move outside the 4x4 grid - Pieces strictly CANNOT move into occupied squares (i.e. squares that already have another piece) - At ANY instant, there CANNOT be two pieces occupying the same square - The same piece can move multiple times in a row if needed - You win when car "C" reaches the TARGET cell Coordinate System: - Use [row,col] format where [1,1] is top-left, [4,4] is bottom-right - Each cell shows its coordinates in black text: (row,col) - For 2x1 blockers, both occupied cells are shown in the piece description Expected Output Format: Wrap your solution in <solution> tags and provide it as a numbered list of moves in this exact format: <solution> Step 1: [PIECE] [start_position] -> [end_position] Step 2: [PIECE] [start_position] -> [end_position] ... </solution> For 1x1 pieces (car "C" and blockers "B1", "B2", etc.): - Use single coordinate: C [2,1] -> [2,2] For 2x1 pieces (blockers "H1", "H2", etc.): - List both coordinates: H1 [[1,1],[1,2]] -> [[2,1],[2,2]] Example response format: <solution> Step 1: B2 [3,2] -> [4,2] Step 2: H1 [(2,3), (3,3)] -> [(1,3), (2,3)] Step 3: B2 [2,4] -> [1,4] Step 4: C [3,1] -> [3,2] Step 5: C [3,2] -> [3,3] Step 6: C [3,3] -> [3,4] Step 7: C [3,4] -> [2,4] </solution>
<solution> Step 1: C [4,1] -> [3,1] Step 2: C [3,1] -> [2,1] Step 3: C [2,1] -> [2,2] Step 4: C [2,2] -> [2,3] Step 5: C [2,3] -> [2,4] </solution>
5
easy
puzzle3
Task: Solve this 4x4 Rush Hour puzzle - move car "C" from position [3,3] to the TARGET at position [2,4] given the position of the blockers below. Current Grid State (JSON format): [["B2","B3",".","B4"],[".",".","B1","."],[".",".","C","."],[".",".",".","."]] Current Pieces: - Car "C": Position [3,3] - 1x1 Blockers (B1, B2, etc.): Single-cell obstacles that can be moved to clear a path - B2 at [1,1] - B3 at [1,2] - B4 at [1,4] - B1 at [2,3] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - None present - TARGET: Position [2,4] Movement Rules: - Any piece (car "C", 1x1 blockers "B1, B2, etc.", or 2x1 blockers "H1, H2, etc.") can move UP, DOWN, LEFT, or RIGHT - Each move is exactly ONE square in any direction for the entire piece - For 2x1 blockers: The entire piece moves together as a unit (both cells move simultaneously) - Pieces strictly CANNOT move outside the 4x4 grid - Pieces strictly CANNOT move into occupied squares (i.e. squares that already have another piece) - At ANY instant, there CANNOT be two pieces occupying the same square - The same piece can move multiple times in a row if needed - You win when car "C" reaches the TARGET cell Coordinate System: - Use [row,col] format where [1,1] is top-left, [4,4] is bottom-right - Each cell shows its coordinates in black text: (row,col) - For 2x1 blockers, both occupied cells are shown in the piece description Expected Output Format: Wrap your solution in <solution> tags and provide it as a numbered list of moves in this exact format: <solution> Step 1: [PIECE] [start_position] -> [end_position] Step 2: [PIECE] [start_position] -> [end_position] ... </solution> For 1x1 pieces (car "C" and blockers "B1", "B2", etc.): - Use single coordinate: C [2,1] -> [2,2] For 2x1 pieces (blockers "H1", "H2", etc.): - List both coordinates: H1 [[1,1],[1,2]] -> [[2,1],[2,2]] Example response format: <solution> Step 1: B2 [3,2] -> [4,2] Step 2: H1 [(2,3), (3,3)] -> [(1,3), (2,3)] Step 3: B2 [2,4] -> [1,4] Step 4: C [3,1] -> [3,2] Step 5: C [3,2] -> [3,3] Step 6: C [3,3] -> [3,4] Step 7: C [3,4] -> [2,4] </solution>
<solution> Step 1: C [3,3] -> [3,4] Step 2: C [3,4] -> [2,4] </solution>
2
easy
puzzle4
Task: Solve this 4x4 Rush Hour puzzle - move car "C" from position [1,4] to the TARGET at position [2,4] given the position of the blockers below. Current Grid State (JSON format): [["B3",".",".","C"],[".",".",".","."],[".","B1",".","B2"],["B4",".",".","."]] Current Pieces: - Car "C": Position [1,4] - 1x1 Blockers (B1, B2, etc.): Single-cell obstacles that can be moved to clear a path - B3 at [1,1] - B1 at [3,2] - B2 at [3,4] - B4 at [4,1] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - None present - TARGET: Position [2,4] Movement Rules: - Any piece (car "C", 1x1 blockers "B1, B2, etc.", or 2x1 blockers "H1, H2, etc.") can move UP, DOWN, LEFT, or RIGHT - Each move is exactly ONE square in any direction for the entire piece - For 2x1 blockers: The entire piece moves together as a unit (both cells move simultaneously) - Pieces strictly CANNOT move outside the 4x4 grid - Pieces strictly CANNOT move into occupied squares (i.e. squares that already have another piece) - At ANY instant, there CANNOT be two pieces occupying the same square - The same piece can move multiple times in a row if needed - You win when car "C" reaches the TARGET cell Coordinate System: - Use [row,col] format where [1,1] is top-left, [4,4] is bottom-right - Each cell shows its coordinates in black text: (row,col) - For 2x1 blockers, both occupied cells are shown in the piece description Expected Output Format: Wrap your solution in <solution> tags and provide it as a numbered list of moves in this exact format: <solution> Step 1: [PIECE] [start_position] -> [end_position] Step 2: [PIECE] [start_position] -> [end_position] ... </solution> For 1x1 pieces (car "C" and blockers "B1", "B2", etc.): - Use single coordinate: C [2,1] -> [2,2] For 2x1 pieces (blockers "H1", "H2", etc.): - List both coordinates: H1 [[1,1],[1,2]] -> [[2,1],[2,2]] Example response format: <solution> Step 1: B2 [3,2] -> [4,2] Step 2: H1 [(2,3), (3,3)] -> [(1,3), (2,3)] Step 3: B2 [2,4] -> [1,4] Step 4: C [3,1] -> [3,2] Step 5: C [3,2] -> [3,3] Step 6: C [3,3] -> [3,4] Step 7: C [3,4] -> [2,4] </solution>
<solution> Step 1: C [1,4] -> [2,4] </solution>
1
easy
puzzle5
Task: Solve this 4x4 Rush Hour puzzle - move car "C" from position [4,1] to the TARGET at position [2,4] given the position of the blockers below. Current Grid State (JSON format): [[".",".",".","."],[".",".","B4","."],["B3",".","B1","."],["C","B2",".","."]] Current Pieces: - Car "C": Position [4,1] - 1x1 Blockers (B1, B2, etc.): Single-cell obstacles that can be moved to clear a path - B4 at [2,3] - B3 at [3,1] - B1 at [3,3] - B2 at [4,2] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - None present - TARGET: Position [2,4] Movement Rules: - Any piece (car "C", 1x1 blockers "B1, B2, etc.", or 2x1 blockers "H1, H2, etc.") can move UP, DOWN, LEFT, or RIGHT - Each move is exactly ONE square in any direction for the entire piece - For 2x1 blockers: The entire piece moves together as a unit (both cells move simultaneously) - Pieces strictly CANNOT move outside the 4x4 grid - Pieces strictly CANNOT move into occupied squares (i.e. squares that already have another piece) - At ANY instant, there CANNOT be two pieces occupying the same square - The same piece can move multiple times in a row if needed - You win when car "C" reaches the TARGET cell Coordinate System: - Use [row,col] format where [1,1] is top-left, [4,4] is bottom-right - Each cell shows its coordinates in black text: (row,col) - For 2x1 blockers, both occupied cells are shown in the piece description Expected Output Format: Wrap your solution in <solution> tags and provide it as a numbered list of moves in this exact format: <solution> Step 1: [PIECE] [start_position] -> [end_position] Step 2: [PIECE] [start_position] -> [end_position] ... </solution> For 1x1 pieces (car "C" and blockers "B1", "B2", etc.): - Use single coordinate: C [2,1] -> [2,2] For 2x1 pieces (blockers "H1", "H2", etc.): - List both coordinates: H1 [[1,1],[1,2]] -> [[2,1],[2,2]] Example response format: <solution> Step 1: B2 [3,2] -> [4,2] Step 2: H1 [(2,3), (3,3)] -> [(1,3), (2,3)] Step 3: B2 [2,4] -> [1,4] Step 4: C [3,1] -> [3,2] Step 5: C [3,2] -> [3,3] Step 6: C [3,3] -> [3,4] Step 7: C [3,4] -> [2,4] </solution>
<solution> Step 1: B2 [4,2] -> [3,2] Step 2: C [4,1] -> [4,2] Step 3: C [4,2] -> [4,3] Step 4: C [4,3] -> [4,4] Step 5: C [4,4] -> [3,4] Step 6: C [3,4] -> [2,4] </solution>
6
easy
puzzle6
Task: Solve this 4x4 Rush Hour puzzle - move car "C" from position [3,1] to the TARGET at position [2,4] given the position of the blockers below. Current Grid State (JSON format): [["B4",".",".","."],["B2",".",".","."],["C",".","B1","."],[".",".",".","B3"]] Current Pieces: - Car "C": Position [3,1] - 1x1 Blockers (B1, B2, etc.): Single-cell obstacles that can be moved to clear a path - B4 at [1,1] - B2 at [2,1] - B1 at [3,3] - B3 at [4,4] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - None present - TARGET: Position [2,4] Movement Rules: - Any piece (car "C", 1x1 blockers "B1, B2, etc.", or 2x1 blockers "H1, H2, etc.") can move UP, DOWN, LEFT, or RIGHT - Each move is exactly ONE square in any direction for the entire piece - For 2x1 blockers: The entire piece moves together as a unit (both cells move simultaneously) - Pieces strictly CANNOT move outside the 4x4 grid - Pieces strictly CANNOT move into occupied squares (i.e. squares that already have another piece) - At ANY instant, there CANNOT be two pieces occupying the same square - The same piece can move multiple times in a row if needed - You win when car "C" reaches the TARGET cell Coordinate System: - Use [row,col] format where [1,1] is top-left, [4,4] is bottom-right - Each cell shows its coordinates in black text: (row,col) - For 2x1 blockers, both occupied cells are shown in the piece description Expected Output Format: Wrap your solution in <solution> tags and provide it as a numbered list of moves in this exact format: <solution> Step 1: [PIECE] [start_position] -> [end_position] Step 2: [PIECE] [start_position] -> [end_position] ... </solution> For 1x1 pieces (car "C" and blockers "B1", "B2", etc.): - Use single coordinate: C [2,1] -> [2,2] For 2x1 pieces (blockers "H1", "H2", etc.): - List both coordinates: H1 [[1,1],[1,2]] -> [[2,1],[2,2]] Example response format: <solution> Step 1: B2 [3,2] -> [4,2] Step 2: H1 [(2,3), (3,3)] -> [(1,3), (2,3)] Step 3: B2 [2,4] -> [1,4] Step 4: C [3,1] -> [3,2] Step 5: C [3,2] -> [3,3] Step 6: C [3,3] -> [3,4] Step 7: C [3,4] -> [2,4] </solution>
<solution> Step 1: C [3,1] -> [3,2] Step 2: C [3,2] -> [2,2] Step 3: C [2,2] -> [2,3] Step 4: C [2,3] -> [2,4] </solution>
4
easy
puzzle7
Task: Solve this 4x4 Rush Hour puzzle - move car "C" from position [4,1] to the TARGET at position [2,4] given the position of the blockers below. Current Grid State (JSON format): [[".",".","B4","."],["B3","B2","B1","."],[".",".",".","."],["C",".",".","."]] Current Pieces: - Car "C": Position [4,1] - 1x1 Blockers (B1, B2, etc.): Single-cell obstacles that can be moved to clear a path - B4 at [1,3] - B3 at [2,1] - B2 at [2,2] - B1 at [2,3] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - None present - TARGET: Position [2,4] Movement Rules: - Any piece (car "C", 1x1 blockers "B1, B2, etc.", or 2x1 blockers "H1, H2, etc.") can move UP, DOWN, LEFT, or RIGHT - Each move is exactly ONE square in any direction for the entire piece - For 2x1 blockers: The entire piece moves together as a unit (both cells move simultaneously) - Pieces strictly CANNOT move outside the 4x4 grid - Pieces strictly CANNOT move into occupied squares (i.e. squares that already have another piece) - At ANY instant, there CANNOT be two pieces occupying the same square - The same piece can move multiple times in a row if needed - You win when car "C" reaches the TARGET cell Coordinate System: - Use [row,col] format where [1,1] is top-left, [4,4] is bottom-right - Each cell shows its coordinates in black text: (row,col) - For 2x1 blockers, both occupied cells are shown in the piece description Expected Output Format: Wrap your solution in <solution> tags and provide it as a numbered list of moves in this exact format: <solution> Step 1: [PIECE] [start_position] -> [end_position] Step 2: [PIECE] [start_position] -> [end_position] ... </solution> For 1x1 pieces (car "C" and blockers "B1", "B2", etc.): - Use single coordinate: C [2,1] -> [2,2] For 2x1 pieces (blockers "H1", "H2", etc.): - List both coordinates: H1 [[1,1],[1,2]] -> [[2,1],[2,2]] Example response format: <solution> Step 1: B2 [3,2] -> [4,2] Step 2: H1 [(2,3), (3,3)] -> [(1,3), (2,3)] Step 3: B2 [2,4] -> [1,4] Step 4: C [3,1] -> [3,2] Step 5: C [3,2] -> [3,3] Step 6: C [3,3] -> [3,4] Step 7: C [3,4] -> [2,4] </solution>
<solution> Step 1: C [4,1] -> [3,1] Step 2: C [3,1] -> [3,2] Step 3: C [3,2] -> [3,3] Step 4: C [3,3] -> [3,4] Step 5: C [3,4] -> [2,4] </solution>
5
easy
puzzle8
Task: Solve this 4x4 Rush Hour puzzle - move car "C" from position [4,2] to the TARGET at position [2,4] given the position of the blockers below. Current Grid State (JSON format): [[".","B2","B3","."],[".","B1",".","."],[".","B4",".","."],[".","C",".","."]] Current Pieces: - Car "C": Position [4,2] - 1x1 Blockers (B1, B2, etc.): Single-cell obstacles that can be moved to clear a path - B2 at [1,2] - B3 at [1,3] - B1 at [2,2] - B4 at [3,2] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - None present - TARGET: Position [2,4] Movement Rules: - Any piece (car "C", 1x1 blockers "B1, B2, etc.", or 2x1 blockers "H1, H2, etc.") can move UP, DOWN, LEFT, or RIGHT - Each move is exactly ONE square in any direction for the entire piece - For 2x1 blockers: The entire piece moves together as a unit (both cells move simultaneously) - Pieces strictly CANNOT move outside the 4x4 grid - Pieces strictly CANNOT move into occupied squares (i.e. squares that already have another piece) - At ANY instant, there CANNOT be two pieces occupying the same square - The same piece can move multiple times in a row if needed - You win when car "C" reaches the TARGET cell Coordinate System: - Use [row,col] format where [1,1] is top-left, [4,4] is bottom-right - Each cell shows its coordinates in black text: (row,col) - For 2x1 blockers, both occupied cells are shown in the piece description Expected Output Format: Wrap your solution in <solution> tags and provide it as a numbered list of moves in this exact format: <solution> Step 1: [PIECE] [start_position] -> [end_position] Step 2: [PIECE] [start_position] -> [end_position] ... </solution> For 1x1 pieces (car "C" and blockers "B1", "B2", etc.): - Use single coordinate: C [2,1] -> [2,2] For 2x1 pieces (blockers "H1", "H2", etc.): - List both coordinates: H1 [[1,1],[1,2]] -> [[2,1],[2,2]] Example response format: <solution> Step 1: B2 [3,2] -> [4,2] Step 2: H1 [(2,3), (3,3)] -> [(1,3), (2,3)] Step 3: B2 [2,4] -> [1,4] Step 4: C [3,1] -> [3,2] Step 5: C [3,2] -> [3,3] Step 6: C [3,3] -> [3,4] Step 7: C [3,4] -> [2,4] </solution>
<solution> Step 1: C [4,2] -> [4,3] Step 2: C [4,3] -> [3,3] Step 3: C [3,3] -> [2,3] Step 4: C [2,3] -> [2,4] </solution>
4
easy
puzzle9
Task: Solve this 4x4 Rush Hour puzzle - move car "C" from position [2,2] to the TARGET at position [2,4] given the position of the blockers below. Current Grid State (JSON format): [[".",".",".","."],["B4","C","B2","."],[".",".",".","B3"],[".",".","B1","."]] Current Pieces: - Car "C": Position [2,2] - 1x1 Blockers (B1, B2, etc.): Single-cell obstacles that can be moved to clear a path - B4 at [2,1] - B2 at [2,3] - B3 at [3,4] - B1 at [4,3] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - None present - TARGET: Position [2,4] Movement Rules: - Any piece (car "C", 1x1 blockers "B1, B2, etc.", or 2x1 blockers "H1, H2, etc.") can move UP, DOWN, LEFT, or RIGHT - Each move is exactly ONE square in any direction for the entire piece - For 2x1 blockers: The entire piece moves together as a unit (both cells move simultaneously) - Pieces strictly CANNOT move outside the 4x4 grid - Pieces strictly CANNOT move into occupied squares (i.e. squares that already have another piece) - At ANY instant, there CANNOT be two pieces occupying the same square - The same piece can move multiple times in a row if needed - You win when car "C" reaches the TARGET cell Coordinate System: - Use [row,col] format where [1,1] is top-left, [4,4] is bottom-right - Each cell shows its coordinates in black text: (row,col) - For 2x1 blockers, both occupied cells are shown in the piece description Expected Output Format: Wrap your solution in <solution> tags and provide it as a numbered list of moves in this exact format: <solution> Step 1: [PIECE] [start_position] -> [end_position] Step 2: [PIECE] [start_position] -> [end_position] ... </solution> For 1x1 pieces (car "C" and blockers "B1", "B2", etc.): - Use single coordinate: C [2,1] -> [2,2] For 2x1 pieces (blockers "H1", "H2", etc.): - List both coordinates: H1 [[1,1],[1,2]] -> [[2,1],[2,2]] Example response format: <solution> Step 1: B2 [3,2] -> [4,2] Step 2: H1 [(2,3), (3,3)] -> [(1,3), (2,3)] Step 3: B2 [2,4] -> [1,4] Step 4: C [3,1] -> [3,2] Step 5: C [3,2] -> [3,3] Step 6: C [3,3] -> [3,4] Step 7: C [3,4] -> [2,4] </solution>
<solution> Step 1: B2 [2,3] -> [1,3] Step 2: C [2,2] -> [2,3] Step 3: C [2,3] -> [2,4] </solution>
3
easy
puzzle10
Task: Solve this 4x4 Rush Hour puzzle - move car "C" from position [4,1] to the TARGET at position [2,4] given the position of the blockers below. Current Grid State (JSON format): [[".","B3",".","."],[".",".",".","B1"],["B4","B2",".","."],["C",".",".","."]] Current Pieces: - Car "C": Position [4,1] - 1x1 Blockers (B1, B2, etc.): Single-cell obstacles that can be moved to clear a path - B3 at [1,2] - B1 at [2,4] - B4 at [3,1] - B2 at [3,2] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - None present - TARGET: Position [2,4] Movement Rules: - Any piece (car "C", 1x1 blockers "B1, B2, etc.", or 2x1 blockers "H1, H2, etc.") can move UP, DOWN, LEFT, or RIGHT - Each move is exactly ONE square in any direction for the entire piece - For 2x1 blockers: The entire piece moves together as a unit (both cells move simultaneously) - Pieces strictly CANNOT move outside the 4x4 grid - Pieces strictly CANNOT move into occupied squares (i.e. squares that already have another piece) - At ANY instant, there CANNOT be two pieces occupying the same square - The same piece can move multiple times in a row if needed - You win when car "C" reaches the TARGET cell Coordinate System: - Use [row,col] format where [1,1] is top-left, [4,4] is bottom-right - Each cell shows its coordinates in black text: (row,col) - For 2x1 blockers, both occupied cells are shown in the piece description Expected Output Format: Wrap your solution in <solution> tags and provide it as a numbered list of moves in this exact format: <solution> Step 1: [PIECE] [start_position] -> [end_position] Step 2: [PIECE] [start_position] -> [end_position] ... </solution> For 1x1 pieces (car "C" and blockers "B1", "B2", etc.): - Use single coordinate: C [2,1] -> [2,2] For 2x1 pieces (blockers "H1", "H2", etc.): - List both coordinates: H1 [[1,1],[1,2]] -> [[2,1],[2,2]] Example response format: <solution> Step 1: B2 [3,2] -> [4,2] Step 2: H1 [(2,3), (3,3)] -> [(1,3), (2,3)] Step 3: B2 [2,4] -> [1,4] Step 4: C [3,1] -> [3,2] Step 5: C [3,2] -> [3,3] Step 6: C [3,3] -> [3,4] Step 7: C [3,4] -> [2,4] </solution>
<solution> Step 1: B1 [2,4] -> [1,4] Step 2: C [4,1] -> [4,2] Step 3: C [4,2] -> [4,3] Step 4: C [4,3] -> [3,3] Step 5: C [3,3] -> [2,3] Step 6: C [2,3] -> [2,4] </solution>
6
easy
puzzle11
Task: Solve this 4x4 Rush Hour puzzle - move car "C" from position [3,2] to the TARGET at position [2,4] given the position of the blockers below. Current Grid State (JSON format): [[".",".",".","."],["B1",".",".","."],[".","C",".","B4"],["B3",".",".","B2"]] Current Pieces: - Car "C": Position [3,2] - 1x1 Blockers (B1, B2, etc.): Single-cell obstacles that can be moved to clear a path - B1 at [2,1] - B4 at [3,4] - B3 at [4,1] - B2 at [4,4] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - None present - TARGET: Position [2,4] Movement Rules: - Any piece (car "C", 1x1 blockers "B1, B2, etc.", or 2x1 blockers "H1, H2, etc.") can move UP, DOWN, LEFT, or RIGHT - Each move is exactly ONE square in any direction for the entire piece - For 2x1 blockers: The entire piece moves together as a unit (both cells move simultaneously) - Pieces strictly CANNOT move outside the 4x4 grid - Pieces strictly CANNOT move into occupied squares (i.e. squares that already have another piece) - At ANY instant, there CANNOT be two pieces occupying the same square - The same piece can move multiple times in a row if needed - You win when car "C" reaches the TARGET cell Coordinate System: - Use [row,col] format where [1,1] is top-left, [4,4] is bottom-right - Each cell shows its coordinates in black text: (row,col) - For 2x1 blockers, both occupied cells are shown in the piece description Expected Output Format: Wrap your solution in <solution> tags and provide it as a numbered list of moves in this exact format: <solution> Step 1: [PIECE] [start_position] -> [end_position] Step 2: [PIECE] [start_position] -> [end_position] ... </solution> For 1x1 pieces (car "C" and blockers "B1", "B2", etc.): - Use single coordinate: C [2,1] -> [2,2] For 2x1 pieces (blockers "H1", "H2", etc.): - List both coordinates: H1 [[1,1],[1,2]] -> [[2,1],[2,2]] Example response format: <solution> Step 1: B2 [3,2] -> [4,2] Step 2: H1 [(2,3), (3,3)] -> [(1,3), (2,3)] Step 3: B2 [2,4] -> [1,4] Step 4: C [3,1] -> [3,2] Step 5: C [3,2] -> [3,3] Step 6: C [3,3] -> [3,4] Step 7: C [3,4] -> [2,4] </solution>
<solution> Step 1: C [3,2] -> [2,2] Step 2: C [2,2] -> [2,3] Step 3: C [2,3] -> [2,4] </solution>
3
easy
puzzle12
Task: Solve this 4x4 Rush Hour puzzle - move car "C" from position [3,3] to the TARGET at position [2,4] given the position of the blockers below. Current Grid State (JSON format): [["B2","B1",".","."],[".",".",".","."],[".",".","C","."],[".","B3","H1","H1"]] Current Pieces: - Car "C": Position [3,3] - 1x1 Blockers (B1, B2, etc.): Single-cell obstacles that can be moved to clear a path - B2 at [1,1] - B1 at [1,2] - B3 at [4,2] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - H1 (horizontal) at [4,3], [4,4] - TARGET: Position [2,4] Movement Rules: - Any piece (car "C", 1x1 blockers "B1, B2, etc.", or 2x1 blockers "H1, H2, etc.") can move UP, DOWN, LEFT, or RIGHT - Each move is exactly ONE square in any direction for the entire piece - For 2x1 blockers: The entire piece moves together as a unit (both cells move simultaneously) - Pieces strictly CANNOT move outside the 4x4 grid - Pieces strictly CANNOT move into occupied squares (i.e. squares that already have another piece) - At ANY instant, there CANNOT be two pieces occupying the same square - The same piece can move multiple times in a row if needed - You win when car "C" reaches the TARGET cell Coordinate System: - Use [row,col] format where [1,1] is top-left, [4,4] is bottom-right - Each cell shows its coordinates in black text: (row,col) - For 2x1 blockers, both occupied cells are shown in the piece description Expected Output Format: Wrap your solution in <solution> tags and provide it as a numbered list of moves in this exact format: <solution> Step 1: [PIECE] [start_position] -> [end_position] Step 2: [PIECE] [start_position] -> [end_position] ... </solution> For 1x1 pieces (car "C" and blockers "B1", "B2", etc.): - Use single coordinate: C [2,1] -> [2,2] For 2x1 pieces (blockers "H1", "H2", etc.): - List both coordinates: H1 [[1,1],[1,2]] -> [[2,1],[2,2]] Example response format: <solution> Step 1: B2 [3,2] -> [4,2] Step 2: H1 [(2,3), (3,3)] -> [(1,3), (2,3)] Step 3: B2 [2,4] -> [1,4] Step 4: C [3,1] -> [3,2] Step 5: C [3,2] -> [3,3] Step 6: C [3,3] -> [3,4] Step 7: C [3,4] -> [2,4] </solution>
<solution> Step 1: C [3,3] -> [2,3] Step 2: C [2,3] -> [2,4] </solution>
2
easy
puzzle13
Task: Solve this 4x4 Rush Hour puzzle - move car "C" from position [4,2] to the TARGET at position [2,4] given the position of the blockers below. Current Grid State (JSON format): [[".","B2","B4","."],["B1","B3",".","."],[".",".",".","."],[".","C",".","."]] Current Pieces: - Car "C": Position [4,2] - 1x1 Blockers (B1, B2, etc.): Single-cell obstacles that can be moved to clear a path - B2 at [1,2] - B4 at [1,3] - B1 at [2,1] - B3 at [2,2] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - None present - TARGET: Position [2,4] Movement Rules: - Any piece (car "C", 1x1 blockers "B1, B2, etc.", or 2x1 blockers "H1, H2, etc.") can move UP, DOWN, LEFT, or RIGHT - Each move is exactly ONE square in any direction for the entire piece - For 2x1 blockers: The entire piece moves together as a unit (both cells move simultaneously) - Pieces strictly CANNOT move outside the 4x4 grid - Pieces strictly CANNOT move into occupied squares (i.e. squares that already have another piece) - At ANY instant, there CANNOT be two pieces occupying the same square - The same piece can move multiple times in a row if needed - You win when car "C" reaches the TARGET cell Coordinate System: - Use [row,col] format where [1,1] is top-left, [4,4] is bottom-right - Each cell shows its coordinates in black text: (row,col) - For 2x1 blockers, both occupied cells are shown in the piece description Expected Output Format: Wrap your solution in <solution> tags and provide it as a numbered list of moves in this exact format: <solution> Step 1: [PIECE] [start_position] -> [end_position] Step 2: [PIECE] [start_position] -> [end_position] ... </solution> For 1x1 pieces (car "C" and blockers "B1", "B2", etc.): - Use single coordinate: C [2,1] -> [2,2] For 2x1 pieces (blockers "H1", "H2", etc.): - List both coordinates: H1 [[1,1],[1,2]] -> [[2,1],[2,2]] Example response format: <solution> Step 1: B2 [3,2] -> [4,2] Step 2: H1 [(2,3), (3,3)] -> [(1,3), (2,3)] Step 3: B2 [2,4] -> [1,4] Step 4: C [3,1] -> [3,2] Step 5: C [3,2] -> [3,3] Step 6: C [3,3] -> [3,4] Step 7: C [3,4] -> [2,4] </solution>
<solution> Step 1: C [4,2] -> [3,2] Step 2: C [3,2] -> [3,3] Step 3: C [3,3] -> [2,3] Step 4: C [2,3] -> [2,4] </solution>
4
easy
puzzle14
Task: Solve this 4x4 Rush Hour puzzle - move car "C" from position [2,1] to the TARGET at position [2,4] given the position of the blockers below. Current Grid State (JSON format): [[".",".","B2","."],["C",".","B1","."],["B3",".","H1","."],[".",".","H1","."]] Current Pieces: - Car "C": Position [2,1] - 1x1 Blockers (B1, B2, etc.): Single-cell obstacles that can be moved to clear a path - B2 at [1,3] - B1 at [2,3] - B3 at [3,1] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - H1 (vertical) at [3,3], [4,3] - TARGET: Position [2,4] Movement Rules: - Any piece (car "C", 1x1 blockers "B1, B2, etc.", or 2x1 blockers "H1, H2, etc.") can move UP, DOWN, LEFT, or RIGHT - Each move is exactly ONE square in any direction for the entire piece - For 2x1 blockers: The entire piece moves together as a unit (both cells move simultaneously) - Pieces strictly CANNOT move outside the 4x4 grid - Pieces strictly CANNOT move into occupied squares (i.e. squares that already have another piece) - At ANY instant, there CANNOT be two pieces occupying the same square - The same piece can move multiple times in a row if needed - You win when car "C" reaches the TARGET cell Coordinate System: - Use [row,col] format where [1,1] is top-left, [4,4] is bottom-right - Each cell shows its coordinates in black text: (row,col) - For 2x1 blockers, both occupied cells are shown in the piece description Expected Output Format: Wrap your solution in <solution> tags and provide it as a numbered list of moves in this exact format: <solution> Step 1: [PIECE] [start_position] -> [end_position] Step 2: [PIECE] [start_position] -> [end_position] ... </solution> For 1x1 pieces (car "C" and blockers "B1", "B2", etc.): - Use single coordinate: C [2,1] -> [2,2] For 2x1 pieces (blockers "H1", "H2", etc.): - List both coordinates: H1 [[1,1],[1,2]] -> [[2,1],[2,2]] Example response format: <solution> Step 1: B2 [3,2] -> [4,2] Step 2: H1 [(2,3), (3,3)] -> [(1,3), (2,3)] Step 3: B2 [2,4] -> [1,4] Step 4: C [3,1] -> [3,2] Step 5: C [3,2] -> [3,3] Step 6: C [3,3] -> [3,4] Step 7: C [3,4] -> [2,4] </solution>
<solution> Step 1: B1 [2,3] -> [2,2] Step 2: B1 [2,2] -> [1,2] Step 3: C [2,1] -> [2,2] Step 4: C [2,2] -> [2,3] Step 5: C [2,3] -> [2,4] </solution>
5
easy
puzzle15
Task: Solve this 4x4 Rush Hour puzzle - move car "C" from position [1,4] to the TARGET at position [2,4] given the position of the blockers below. Current Grid State (JSON format): [[".","B3",".","C"],[".",".",".","."],[".",".",".","H1"],["B1","B2",".","H1"]] Current Pieces: - Car "C": Position [1,4] - 1x1 Blockers (B1, B2, etc.): Single-cell obstacles that can be moved to clear a path - B3 at [1,2] - B1 at [4,1] - B2 at [4,2] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - H1 (vertical) at [3,4], [4,4] - TARGET: Position [2,4] Movement Rules: - Any piece (car "C", 1x1 blockers "B1, B2, etc.", or 2x1 blockers "H1, H2, etc.") can move UP, DOWN, LEFT, or RIGHT - Each move is exactly ONE square in any direction for the entire piece - For 2x1 blockers: The entire piece moves together as a unit (both cells move simultaneously) - Pieces strictly CANNOT move outside the 4x4 grid - Pieces strictly CANNOT move into occupied squares (i.e. squares that already have another piece) - At ANY instant, there CANNOT be two pieces occupying the same square - The same piece can move multiple times in a row if needed - You win when car "C" reaches the TARGET cell Coordinate System: - Use [row,col] format where [1,1] is top-left, [4,4] is bottom-right - Each cell shows its coordinates in black text: (row,col) - For 2x1 blockers, both occupied cells are shown in the piece description Expected Output Format: Wrap your solution in <solution> tags and provide it as a numbered list of moves in this exact format: <solution> Step 1: [PIECE] [start_position] -> [end_position] Step 2: [PIECE] [start_position] -> [end_position] ... </solution> For 1x1 pieces (car "C" and blockers "B1", "B2", etc.): - Use single coordinate: C [2,1] -> [2,2] For 2x1 pieces (blockers "H1", "H2", etc.): - List both coordinates: H1 [[1,1],[1,2]] -> [[2,1],[2,2]] Example response format: <solution> Step 1: B2 [3,2] -> [4,2] Step 2: H1 [(2,3), (3,3)] -> [(1,3), (2,3)] Step 3: B2 [2,4] -> [1,4] Step 4: C [3,1] -> [3,2] Step 5: C [3,2] -> [3,3] Step 6: C [3,3] -> [3,4] Step 7: C [3,4] -> [2,4] </solution>
<solution> Step 1: C [1,4] -> [2,4] </solution>
1
easy
puzzle16
Task: Solve this 4x4 Rush Hour puzzle - move car "C" from position [3,4] to the TARGET at position [2,4] given the position of the blockers below. Current Grid State (JSON format): [[".",".","B1","B5"],["B4",".",".","."],[".","B2",".","C"],[".",".","B3","."]] Current Pieces: - Car "C": Position [3,4] - 1x1 Blockers (B1, B2, etc.): Single-cell obstacles that can be moved to clear a path - B1 at [1,3] - B5 at [1,4] - B4 at [2,1] - B2 at [3,2] - B3 at [4,3] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - None present - TARGET: Position [2,4] Movement Rules: - Any piece (car "C", 1x1 blockers "B1, B2, etc.", or 2x1 blockers "H1, H2, etc.") can move UP, DOWN, LEFT, or RIGHT - Each move is exactly ONE square in any direction for the entire piece - For 2x1 blockers: The entire piece moves together as a unit (both cells move simultaneously) - Pieces strictly CANNOT move outside the 4x4 grid - Pieces strictly CANNOT move into occupied squares (i.e. squares that already have another piece) - At ANY instant, there CANNOT be two pieces occupying the same square - The same piece can move multiple times in a row if needed - You win when car "C" reaches the TARGET cell Coordinate System: - Use [row,col] format where [1,1] is top-left, [4,4] is bottom-right - Each cell shows its coordinates in black text: (row,col) - For 2x1 blockers, both occupied cells are shown in the piece description Expected Output Format: Wrap your solution in <solution> tags and provide it as a numbered list of moves in this exact format: <solution> Step 1: [PIECE] [start_position] -> [end_position] Step 2: [PIECE] [start_position] -> [end_position] ... </solution> For 1x1 pieces (car "C" and blockers "B1", "B2", etc.): - Use single coordinate: C [2,1] -> [2,2] For 2x1 pieces (blockers "H1", "H2", etc.): - List both coordinates: H1 [[1,1],[1,2]] -> [[2,1],[2,2]] Example response format: <solution> Step 1: B2 [3,2] -> [4,2] Step 2: H1 [(2,3), (3,3)] -> [(1,3), (2,3)] Step 3: B2 [2,4] -> [1,4] Step 4: C [3,1] -> [3,2] Step 5: C [3,2] -> [3,3] Step 6: C [3,3] -> [3,4] Step 7: C [3,4] -> [2,4] </solution>
<solution> Step 1: C [3,4] -> [2,4] </solution>
1
easy
puzzle17
Task: Solve this 4x4 Rush Hour puzzle - move car "C" from position [2,3] to the TARGET at position [2,4] given the position of the blockers below. Current Grid State (JSON format): [[".",".",".","B3"],[".",".","C","."],[".","B2","H1","."],[".","B1","H1","."]] Current Pieces: - Car "C": Position [2,3] - 1x1 Blockers (B1, B2, etc.): Single-cell obstacles that can be moved to clear a path - B3 at [1,4] - B2 at [3,2] - B1 at [4,2] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - H1 (vertical) at [3,3], [4,3] - TARGET: Position [2,4] Movement Rules: - Any piece (car "C", 1x1 blockers "B1, B2, etc.", or 2x1 blockers "H1, H2, etc.") can move UP, DOWN, LEFT, or RIGHT - Each move is exactly ONE square in any direction for the entire piece - For 2x1 blockers: The entire piece moves together as a unit (both cells move simultaneously) - Pieces strictly CANNOT move outside the 4x4 grid - Pieces strictly CANNOT move into occupied squares (i.e. squares that already have another piece) - At ANY instant, there CANNOT be two pieces occupying the same square - The same piece can move multiple times in a row if needed - You win when car "C" reaches the TARGET cell Coordinate System: - Use [row,col] format where [1,1] is top-left, [4,4] is bottom-right - Each cell shows its coordinates in black text: (row,col) - For 2x1 blockers, both occupied cells are shown in the piece description Expected Output Format: Wrap your solution in <solution> tags and provide it as a numbered list of moves in this exact format: <solution> Step 1: [PIECE] [start_position] -> [end_position] Step 2: [PIECE] [start_position] -> [end_position] ... </solution> For 1x1 pieces (car "C" and blockers "B1", "B2", etc.): - Use single coordinate: C [2,1] -> [2,2] For 2x1 pieces (blockers "H1", "H2", etc.): - List both coordinates: H1 [[1,1],[1,2]] -> [[2,1],[2,2]] Example response format: <solution> Step 1: B2 [3,2] -> [4,2] Step 2: H1 [(2,3), (3,3)] -> [(1,3), (2,3)] Step 3: B2 [2,4] -> [1,4] Step 4: C [3,1] -> [3,2] Step 5: C [3,2] -> [3,3] Step 6: C [3,3] -> [3,4] Step 7: C [3,4] -> [2,4] </solution>
<solution> Step 1: C [2,3] -> [2,4] </solution>
1
easy
puzzle18
Task: Solve this 4x4 Rush Hour puzzle - move car "C" from position [2,2] to the TARGET at position [2,4] given the position of the blockers below. Current Grid State (JSON format): [["B4",".",".","."],["B5","C",".","."],[".",".",".","."],[".","B2","B1","B3"]] Current Pieces: - Car "C": Position [2,2] - 1x1 Blockers (B1, B2, etc.): Single-cell obstacles that can be moved to clear a path - B4 at [1,1] - B5 at [2,1] - B2 at [4,2] - B1 at [4,3] - B3 at [4,4] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - None present - TARGET: Position [2,4] Movement Rules: - Any piece (car "C", 1x1 blockers "B1, B2, etc.", or 2x1 blockers "H1, H2, etc.") can move UP, DOWN, LEFT, or RIGHT - Each move is exactly ONE square in any direction for the entire piece - For 2x1 blockers: The entire piece moves together as a unit (both cells move simultaneously) - Pieces strictly CANNOT move outside the 4x4 grid - Pieces strictly CANNOT move into occupied squares (i.e. squares that already have another piece) - At ANY instant, there CANNOT be two pieces occupying the same square - The same piece can move multiple times in a row if needed - You win when car "C" reaches the TARGET cell Coordinate System: - Use [row,col] format where [1,1] is top-left, [4,4] is bottom-right - Each cell shows its coordinates in black text: (row,col) - For 2x1 blockers, both occupied cells are shown in the piece description Expected Output Format: Wrap your solution in <solution> tags and provide it as a numbered list of moves in this exact format: <solution> Step 1: [PIECE] [start_position] -> [end_position] Step 2: [PIECE] [start_position] -> [end_position] ... </solution> For 1x1 pieces (car "C" and blockers "B1", "B2", etc.): - Use single coordinate: C [2,1] -> [2,2] For 2x1 pieces (blockers "H1", "H2", etc.): - List both coordinates: H1 [[1,1],[1,2]] -> [[2,1],[2,2]] Example response format: <solution> Step 1: B2 [3,2] -> [4,2] Step 2: H1 [(2,3), (3,3)] -> [(1,3), (2,3)] Step 3: B2 [2,4] -> [1,4] Step 4: C [3,1] -> [3,2] Step 5: C [3,2] -> [3,3] Step 6: C [3,3] -> [3,4] Step 7: C [3,4] -> [2,4] </solution>
<solution> Step 1: C [2,2] -> [2,3] Step 2: C [2,3] -> [2,4] </solution>
2
easy
puzzle19
Task: Solve this 4x4 Rush Hour puzzle - move car "C" from position [4,2] to the TARGET at position [2,4] given the position of the blockers below. Current Grid State (JSON format): [[".","B4",".","."],["B3","B1",".","B2"],[".",".",".","."],[".","C",".","."]] Current Pieces: - Car "C": Position [4,2] - 1x1 Blockers (B1, B2, etc.): Single-cell obstacles that can be moved to clear a path - B4 at [1,2] - B3 at [2,1] - B1 at [2,2] - B2 at [2,4] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - None present - TARGET: Position [2,4] Movement Rules: - Any piece (car "C", 1x1 blockers "B1, B2, etc.", or 2x1 blockers "H1, H2, etc.") can move UP, DOWN, LEFT, or RIGHT - Each move is exactly ONE square in any direction for the entire piece - For 2x1 blockers: The entire piece moves together as a unit (both cells move simultaneously) - Pieces strictly CANNOT move outside the 4x4 grid - Pieces strictly CANNOT move into occupied squares (i.e. squares that already have another piece) - At ANY instant, there CANNOT be two pieces occupying the same square - The same piece can move multiple times in a row if needed - You win when car "C" reaches the TARGET cell Coordinate System: - Use [row,col] format where [1,1] is top-left, [4,4] is bottom-right - Each cell shows its coordinates in black text: (row,col) - For 2x1 blockers, both occupied cells are shown in the piece description Expected Output Format: Wrap your solution in <solution> tags and provide it as a numbered list of moves in this exact format: <solution> Step 1: [PIECE] [start_position] -> [end_position] Step 2: [PIECE] [start_position] -> [end_position] ... </solution> For 1x1 pieces (car "C" and blockers "B1", "B2", etc.): - Use single coordinate: C [2,1] -> [2,2] For 2x1 pieces (blockers "H1", "H2", etc.): - List both coordinates: H1 [[1,1],[1,2]] -> [[2,1],[2,2]] Example response format: <solution> Step 1: B2 [3,2] -> [4,2] Step 2: H1 [(2,3), (3,3)] -> [(1,3), (2,3)] Step 3: B2 [2,4] -> [1,4] Step 4: C [3,1] -> [3,2] Step 5: C [3,2] -> [3,3] Step 6: C [3,3] -> [3,4] Step 7: C [3,4] -> [2,4] </solution>
<solution> Step 1: B2 [2,4] -> [1,4] Step 2: C [4,2] -> [3,2] Step 3: C [3,2] -> [3,3] Step 4: C [3,3] -> [2,3] Step 5: C [2,3] -> [2,4] </solution>
5
easy
puzzle20
Task: Solve this 4x4 Rush Hour puzzle - move car "C" from position [4,4] to the TARGET at position [2,4] given the position of the blockers below. Current Grid State (JSON format): [[".",".",".","B4"],[".","B3",".","."],[".","B1",".","."],["B2",".",".","C"]] Current Pieces: - Car "C": Position [4,4] - 1x1 Blockers (B1, B2, etc.): Single-cell obstacles that can be moved to clear a path - B4 at [1,4] - B3 at [2,2] - B1 at [3,2] - B2 at [4,1] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - None present - TARGET: Position [2,4] Movement Rules: - Any piece (car "C", 1x1 blockers "B1, B2, etc.", or 2x1 blockers "H1, H2, etc.") can move UP, DOWN, LEFT, or RIGHT - Each move is exactly ONE square in any direction for the entire piece - For 2x1 blockers: The entire piece moves together as a unit (both cells move simultaneously) - Pieces strictly CANNOT move outside the 4x4 grid - Pieces strictly CANNOT move into occupied squares (i.e. squares that already have another piece) - At ANY instant, there CANNOT be two pieces occupying the same square - The same piece can move multiple times in a row if needed - You win when car "C" reaches the TARGET cell Coordinate System: - Use [row,col] format where [1,1] is top-left, [4,4] is bottom-right - Each cell shows its coordinates in black text: (row,col) - For 2x1 blockers, both occupied cells are shown in the piece description Expected Output Format: Wrap your solution in <solution> tags and provide it as a numbered list of moves in this exact format: <solution> Step 1: [PIECE] [start_position] -> [end_position] Step 2: [PIECE] [start_position] -> [end_position] ... </solution> For 1x1 pieces (car "C" and blockers "B1", "B2", etc.): - Use single coordinate: C [2,1] -> [2,2] For 2x1 pieces (blockers "H1", "H2", etc.): - List both coordinates: H1 [[1,1],[1,2]] -> [[2,1],[2,2]] Example response format: <solution> Step 1: B2 [3,2] -> [4,2] Step 2: H1 [(2,3), (3,3)] -> [(1,3), (2,3)] Step 3: B2 [2,4] -> [1,4] Step 4: C [3,1] -> [3,2] Step 5: C [3,2] -> [3,3] Step 6: C [3,3] -> [3,4] Step 7: C [3,4] -> [2,4] </solution>
<solution> Step 1: C [4,4] -> [3,4] Step 2: C [3,4] -> [2,4] </solution>
2
easy
puzzle21
Task: Solve this 4x4 Rush Hour puzzle - move car "C" from position [3,1] to the TARGET at position [2,4] given the position of the blockers below. Current Grid State (JSON format): [[".",".","B4","."],[".","B5","B1","."],["C","B3",".","."],["B2",".",".","."]] Current Pieces: - Car "C": Position [3,1] - 1x1 Blockers (B1, B2, etc.): Single-cell obstacles that can be moved to clear a path - B4 at [1,3] - B5 at [2,2] - B1 at [2,3] - B3 at [3,2] - B2 at [4,1] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - None present - TARGET: Position [2,4] Movement Rules: - Any piece (car "C", 1x1 blockers "B1, B2, etc.", or 2x1 blockers "H1, H2, etc.") can move UP, DOWN, LEFT, or RIGHT - Each move is exactly ONE square in any direction for the entire piece - For 2x1 blockers: The entire piece moves together as a unit (both cells move simultaneously) - Pieces strictly CANNOT move outside the 4x4 grid - Pieces strictly CANNOT move into occupied squares (i.e. squares that already have another piece) - At ANY instant, there CANNOT be two pieces occupying the same square - The same piece can move multiple times in a row if needed - You win when car "C" reaches the TARGET cell Coordinate System: - Use [row,col] format where [1,1] is top-left, [4,4] is bottom-right - Each cell shows its coordinates in black text: (row,col) - For 2x1 blockers, both occupied cells are shown in the piece description Expected Output Format: Wrap your solution in <solution> tags and provide it as a numbered list of moves in this exact format: <solution> Step 1: [PIECE] [start_position] -> [end_position] Step 2: [PIECE] [start_position] -> [end_position] ... </solution> For 1x1 pieces (car "C" and blockers "B1", "B2", etc.): - Use single coordinate: C [2,1] -> [2,2] For 2x1 pieces (blockers "H1", "H2", etc.): - List both coordinates: H1 [[1,1],[1,2]] -> [[2,1],[2,2]] Example response format: <solution> Step 1: B2 [3,2] -> [4,2] Step 2: H1 [(2,3), (3,3)] -> [(1,3), (2,3)] Step 3: B2 [2,4] -> [1,4] Step 4: C [3,1] -> [3,2] Step 5: C [3,2] -> [3,3] Step 6: C [3,3] -> [3,4] Step 7: C [3,4] -> [2,4] </solution>
<solution> Step 1: B3 [3,2] -> [4,2] Step 2: C [3,1] -> [3,2] Step 3: C [3,2] -> [3,3] Step 4: C [3,3] -> [3,4] Step 5: C [3,4] -> [2,4] </solution>
5
easy
puzzle22
Task: Solve this 4x4 Rush Hour puzzle - move car "C" from position [1,4] to the TARGET at position [2,4] given the position of the blockers below. Current Grid State (JSON format): [[".",".",".","C"],[".","B4",".","."],[".","B2","B3","."],["B1",".",".","."]] Current Pieces: - Car "C": Position [1,4] - 1x1 Blockers (B1, B2, etc.): Single-cell obstacles that can be moved to clear a path - B4 at [2,2] - B2 at [3,2] - B3 at [3,3] - B1 at [4,1] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - None present - TARGET: Position [2,4] Movement Rules: - Any piece (car "C", 1x1 blockers "B1, B2, etc.", or 2x1 blockers "H1, H2, etc.") can move UP, DOWN, LEFT, or RIGHT - Each move is exactly ONE square in any direction for the entire piece - For 2x1 blockers: The entire piece moves together as a unit (both cells move simultaneously) - Pieces strictly CANNOT move outside the 4x4 grid - Pieces strictly CANNOT move into occupied squares (i.e. squares that already have another piece) - At ANY instant, there CANNOT be two pieces occupying the same square - The same piece can move multiple times in a row if needed - You win when car "C" reaches the TARGET cell Coordinate System: - Use [row,col] format where [1,1] is top-left, [4,4] is bottom-right - Each cell shows its coordinates in black text: (row,col) - For 2x1 blockers, both occupied cells are shown in the piece description Expected Output Format: Wrap your solution in <solution> tags and provide it as a numbered list of moves in this exact format: <solution> Step 1: [PIECE] [start_position] -> [end_position] Step 2: [PIECE] [start_position] -> [end_position] ... </solution> For 1x1 pieces (car "C" and blockers "B1", "B2", etc.): - Use single coordinate: C [2,1] -> [2,2] For 2x1 pieces (blockers "H1", "H2", etc.): - List both coordinates: H1 [[1,1],[1,2]] -> [[2,1],[2,2]] Example response format: <solution> Step 1: B2 [3,2] -> [4,2] Step 2: H1 [(2,3), (3,3)] -> [(1,3), (2,3)] Step 3: B2 [2,4] -> [1,4] Step 4: C [3,1] -> [3,2] Step 5: C [3,2] -> [3,3] Step 6: C [3,3] -> [3,4] Step 7: C [3,4] -> [2,4] </solution>
<solution> Step 1: C [1,4] -> [2,4] </solution>
1
easy
puzzle23
Task: Solve this 4x4 Rush Hour puzzle - move car "C" from position [3,3] to the TARGET at position [2,4] given the position of the blockers below. Current Grid State (JSON format): [[".",".",".","B5"],[".","B4","B1","B3"],[".",".","C","B2"],[".",".",".","."]] Current Pieces: - Car "C": Position [3,3] - 1x1 Blockers (B1, B2, etc.): Single-cell obstacles that can be moved to clear a path - B5 at [1,4] - B4 at [2,2] - B1 at [2,3] - B3 at [2,4] - B2 at [3,4] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - None present - TARGET: Position [2,4] Movement Rules: - Any piece (car "C", 1x1 blockers "B1, B2, etc.", or 2x1 blockers "H1, H2, etc.") can move UP, DOWN, LEFT, or RIGHT - Each move is exactly ONE square in any direction for the entire piece - For 2x1 blockers: The entire piece moves together as a unit (both cells move simultaneously) - Pieces strictly CANNOT move outside the 4x4 grid - Pieces strictly CANNOT move into occupied squares (i.e. squares that already have another piece) - At ANY instant, there CANNOT be two pieces occupying the same square - The same piece can move multiple times in a row if needed - You win when car "C" reaches the TARGET cell Coordinate System: - Use [row,col] format where [1,1] is top-left, [4,4] is bottom-right - Each cell shows its coordinates in black text: (row,col) - For 2x1 blockers, both occupied cells are shown in the piece description Expected Output Format: Wrap your solution in <solution> tags and provide it as a numbered list of moves in this exact format: <solution> Step 1: [PIECE] [start_position] -> [end_position] Step 2: [PIECE] [start_position] -> [end_position] ... </solution> For 1x1 pieces (car "C" and blockers "B1", "B2", etc.): - Use single coordinate: C [2,1] -> [2,2] For 2x1 pieces (blockers "H1", "H2", etc.): - List both coordinates: H1 [[1,1],[1,2]] -> [[2,1],[2,2]] Example response format: <solution> Step 1: B2 [3,2] -> [4,2] Step 2: H1 [(2,3), (3,3)] -> [(1,3), (2,3)] Step 3: B2 [2,4] -> [1,4] Step 4: C [3,1] -> [3,2] Step 5: C [3,2] -> [3,3] Step 6: C [3,3] -> [3,4] Step 7: C [3,4] -> [2,4] </solution>
<solution> Step 1: B5 [1,4] -> [1,3] Step 2: B2 [3,4] -> [4,4] Step 3: B3 [2,4] -> [1,4] Step 4: C [3,3] -> [3,4] Step 5: C [3,4] -> [2,4] </solution>
5
easy
puzzle24
Task: Solve this 4x4 Rush Hour puzzle - move car "C" from position [3,2] to the TARGET at position [2,4] given the position of the blockers below. Current Grid State (JSON format): [["B4","B2",".","."],[".",".",".","B1"],[".","C",".","."],[".",".",".","B3"]] Current Pieces: - Car "C": Position [3,2] - 1x1 Blockers (B1, B2, etc.): Single-cell obstacles that can be moved to clear a path - B4 at [1,1] - B2 at [1,2] - B1 at [2,4] - B3 at [4,4] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - None present - TARGET: Position [2,4] Movement Rules: - Any piece (car "C", 1x1 blockers "B1, B2, etc.", or 2x1 blockers "H1, H2, etc.") can move UP, DOWN, LEFT, or RIGHT - Each move is exactly ONE square in any direction for the entire piece - For 2x1 blockers: The entire piece moves together as a unit (both cells move simultaneously) - Pieces strictly CANNOT move outside the 4x4 grid - Pieces strictly CANNOT move into occupied squares (i.e. squares that already have another piece) - At ANY instant, there CANNOT be two pieces occupying the same square - The same piece can move multiple times in a row if needed - You win when car "C" reaches the TARGET cell Coordinate System: - Use [row,col] format where [1,1] is top-left, [4,4] is bottom-right - Each cell shows its coordinates in black text: (row,col) - For 2x1 blockers, both occupied cells are shown in the piece description Expected Output Format: Wrap your solution in <solution> tags and provide it as a numbered list of moves in this exact format: <solution> Step 1: [PIECE] [start_position] -> [end_position] Step 2: [PIECE] [start_position] -> [end_position] ... </solution> For 1x1 pieces (car "C" and blockers "B1", "B2", etc.): - Use single coordinate: C [2,1] -> [2,2] For 2x1 pieces (blockers "H1", "H2", etc.): - List both coordinates: H1 [[1,1],[1,2]] -> [[2,1],[2,2]] Example response format: <solution> Step 1: B2 [3,2] -> [4,2] Step 2: H1 [(2,3), (3,3)] -> [(1,3), (2,3)] Step 3: B2 [2,4] -> [1,4] Step 4: C [3,1] -> [3,2] Step 5: C [3,2] -> [3,3] Step 6: C [3,3] -> [3,4] Step 7: C [3,4] -> [2,4] </solution>
<solution> Step 1: B1 [2,4] -> [1,4] Step 2: C [3,2] -> [2,2] Step 3: C [2,2] -> [2,3] Step 4: C [2,3] -> [2,4] </solution>
4
easy
puzzle25
Task: Solve this 4x4 Rush Hour puzzle - move car "C" from position [1,3] to the TARGET at position [2,4] given the position of the blockers below. Current Grid State (JSON format): [[".",".","C","B2"],[".",".",".","."],[".",".",".","B1"],[".","B4",".","B3"]] Current Pieces: - Car "C": Position [1,3] - 1x1 Blockers (B1, B2, etc.): Single-cell obstacles that can be moved to clear a path - B2 at [1,4] - B1 at [3,4] - B4 at [4,2] - B3 at [4,4] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - None present - TARGET: Position [2,4] Movement Rules: - Any piece (car "C", 1x1 blockers "B1, B2, etc.", or 2x1 blockers "H1, H2, etc.") can move UP, DOWN, LEFT, or RIGHT - Each move is exactly ONE square in any direction for the entire piece - For 2x1 blockers: The entire piece moves together as a unit (both cells move simultaneously) - Pieces strictly CANNOT move outside the 4x4 grid - Pieces strictly CANNOT move into occupied squares (i.e. squares that already have another piece) - At ANY instant, there CANNOT be two pieces occupying the same square - The same piece can move multiple times in a row if needed - You win when car "C" reaches the TARGET cell Coordinate System: - Use [row,col] format where [1,1] is top-left, [4,4] is bottom-right - Each cell shows its coordinates in black text: (row,col) - For 2x1 blockers, both occupied cells are shown in the piece description Expected Output Format: Wrap your solution in <solution> tags and provide it as a numbered list of moves in this exact format: <solution> Step 1: [PIECE] [start_position] -> [end_position] Step 2: [PIECE] [start_position] -> [end_position] ... </solution> For 1x1 pieces (car "C" and blockers "B1", "B2", etc.): - Use single coordinate: C [2,1] -> [2,2] For 2x1 pieces (blockers "H1", "H2", etc.): - List both coordinates: H1 [[1,1],[1,2]] -> [[2,1],[2,2]] Example response format: <solution> Step 1: B2 [3,2] -> [4,2] Step 2: H1 [(2,3), (3,3)] -> [(1,3), (2,3)] Step 3: B2 [2,4] -> [1,4] Step 4: C [3,1] -> [3,2] Step 5: C [3,2] -> [3,3] Step 6: C [3,3] -> [3,4] Step 7: C [3,4] -> [2,4] </solution>
<solution> Step 1: C [1,3] -> [2,3] Step 2: C [2,3] -> [2,4] </solution>
2
easy
puzzle26
Task: Solve this 4x4 Rush Hour puzzle - move car "C" from position [3,3] to the TARGET at position [2,4] given the position of the blockers below. Current Grid State (JSON format): [[".",".",".","."],[".",".","B1","."],["H1","H1","C","B3"],[".","B2",".","."]] Current Pieces: - Car "C": Position [3,3] - 1x1 Blockers (B1, B2, etc.): Single-cell obstacles that can be moved to clear a path - B1 at [2,3] - B3 at [3,4] - B2 at [4,2] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - H1 (horizontal) at [3,1], [3,2] - TARGET: Position [2,4] Movement Rules: - Any piece (car "C", 1x1 blockers "B1, B2, etc.", or 2x1 blockers "H1, H2, etc.") can move UP, DOWN, LEFT, or RIGHT - Each move is exactly ONE square in any direction for the entire piece - For 2x1 blockers: The entire piece moves together as a unit (both cells move simultaneously) - Pieces strictly CANNOT move outside the 4x4 grid - Pieces strictly CANNOT move into occupied squares (i.e. squares that already have another piece) - At ANY instant, there CANNOT be two pieces occupying the same square - The same piece can move multiple times in a row if needed - You win when car "C" reaches the TARGET cell Coordinate System: - Use [row,col] format where [1,1] is top-left, [4,4] is bottom-right - Each cell shows its coordinates in black text: (row,col) - For 2x1 blockers, both occupied cells are shown in the piece description Expected Output Format: Wrap your solution in <solution> tags and provide it as a numbered list of moves in this exact format: <solution> Step 1: [PIECE] [start_position] -> [end_position] Step 2: [PIECE] [start_position] -> [end_position] ... </solution> For 1x1 pieces (car "C" and blockers "B1", "B2", etc.): - Use single coordinate: C [2,1] -> [2,2] For 2x1 pieces (blockers "H1", "H2", etc.): - List both coordinates: H1 [[1,1],[1,2]] -> [[2,1],[2,2]] Example response format: <solution> Step 1: B2 [3,2] -> [4,2] Step 2: H1 [(2,3), (3,3)] -> [(1,3), (2,3)] Step 3: B2 [2,4] -> [1,4] Step 4: C [3,1] -> [3,2] Step 5: C [3,2] -> [3,3] Step 6: C [3,3] -> [3,4] Step 7: C [3,4] -> [2,4] </solution>
<solution> Step 1: B1 [2,3] -> [1,3] Step 2: C [3,3] -> [2,3] Step 3: C [2,3] -> [2,4] </solution>
3
easy
puzzle27
Task: Solve this 4x4 Rush Hour puzzle - move car "C" from position [2,1] to the TARGET at position [2,4] given the position of the blockers below. Current Grid State (JSON format): [["B3",".","B5","."],["C",".",".","."],[".","B1",".","."],[".","B4",".","B2"]] Current Pieces: - Car "C": Position [2,1] - 1x1 Blockers (B1, B2, etc.): Single-cell obstacles that can be moved to clear a path - B3 at [1,1] - B5 at [1,3] - B1 at [3,2] - B4 at [4,2] - B2 at [4,4] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - None present - TARGET: Position [2,4] Movement Rules: - Any piece (car "C", 1x1 blockers "B1, B2, etc.", or 2x1 blockers "H1, H2, etc.") can move UP, DOWN, LEFT, or RIGHT - Each move is exactly ONE square in any direction for the entire piece - For 2x1 blockers: The entire piece moves together as a unit (both cells move simultaneously) - Pieces strictly CANNOT move outside the 4x4 grid - Pieces strictly CANNOT move into occupied squares (i.e. squares that already have another piece) - At ANY instant, there CANNOT be two pieces occupying the same square - The same piece can move multiple times in a row if needed - You win when car "C" reaches the TARGET cell Coordinate System: - Use [row,col] format where [1,1] is top-left, [4,4] is bottom-right - Each cell shows its coordinates in black text: (row,col) - For 2x1 blockers, both occupied cells are shown in the piece description Expected Output Format: Wrap your solution in <solution> tags and provide it as a numbered list of moves in this exact format: <solution> Step 1: [PIECE] [start_position] -> [end_position] Step 2: [PIECE] [start_position] -> [end_position] ... </solution> For 1x1 pieces (car "C" and blockers "B1", "B2", etc.): - Use single coordinate: C [2,1] -> [2,2] For 2x1 pieces (blockers "H1", "H2", etc.): - List both coordinates: H1 [[1,1],[1,2]] -> [[2,1],[2,2]] Example response format: <solution> Step 1: B2 [3,2] -> [4,2] Step 2: H1 [(2,3), (3,3)] -> [(1,3), (2,3)] Step 3: B2 [2,4] -> [1,4] Step 4: C [3,1] -> [3,2] Step 5: C [3,2] -> [3,3] Step 6: C [3,3] -> [3,4] Step 7: C [3,4] -> [2,4] </solution>
<solution> Step 1: C [2,1] -> [2,2] Step 2: C [2,2] -> [2,3] Step 3: C [2,3] -> [2,4] </solution>
3
easy
puzzle28
Task: Solve this 4x4 Rush Hour puzzle - move car "C" from position [4,4] to the TARGET at position [2,4] given the position of the blockers below. Current Grid State (JSON format): [[".",".",".","."],["B3",".","B5","."],["B1",".",".","."],["B4","B2",".","C"]] Current Pieces: - Car "C": Position [4,4] - 1x1 Blockers (B1, B2, etc.): Single-cell obstacles that can be moved to clear a path - B3 at [2,1] - B5 at [2,3] - B1 at [3,1] - B4 at [4,1] - B2 at [4,2] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - None present - TARGET: Position [2,4] Movement Rules: - Any piece (car "C", 1x1 blockers "B1, B2, etc.", or 2x1 blockers "H1, H2, etc.") can move UP, DOWN, LEFT, or RIGHT - Each move is exactly ONE square in any direction for the entire piece - For 2x1 blockers: The entire piece moves together as a unit (both cells move simultaneously) - Pieces strictly CANNOT move outside the 4x4 grid - Pieces strictly CANNOT move into occupied squares (i.e. squares that already have another piece) - At ANY instant, there CANNOT be two pieces occupying the same square - The same piece can move multiple times in a row if needed - You win when car "C" reaches the TARGET cell Coordinate System: - Use [row,col] format where [1,1] is top-left, [4,4] is bottom-right - Each cell shows its coordinates in black text: (row,col) - For 2x1 blockers, both occupied cells are shown in the piece description Expected Output Format: Wrap your solution in <solution> tags and provide it as a numbered list of moves in this exact format: <solution> Step 1: [PIECE] [start_position] -> [end_position] Step 2: [PIECE] [start_position] -> [end_position] ... </solution> For 1x1 pieces (car "C" and blockers "B1", "B2", etc.): - Use single coordinate: C [2,1] -> [2,2] For 2x1 pieces (blockers "H1", "H2", etc.): - List both coordinates: H1 [[1,1],[1,2]] -> [[2,1],[2,2]] Example response format: <solution> Step 1: B2 [3,2] -> [4,2] Step 2: H1 [(2,3), (3,3)] -> [(1,3), (2,3)] Step 3: B2 [2,4] -> [1,4] Step 4: C [3,1] -> [3,2] Step 5: C [3,2] -> [3,3] Step 6: C [3,3] -> [3,4] Step 7: C [3,4] -> [2,4] </solution>
<solution> Step 1: C [4,4] -> [3,4] Step 2: C [3,4] -> [2,4] </solution>
2
easy
puzzle29
Task: Solve this 4x4 Rush Hour puzzle - move car "C" from position [2,1] to the TARGET at position [2,4] given the position of the blockers below. Current Grid State (JSON format): [["B4",".","B2","."],["C",".",".","B1"],[".",".","B3","."],[".",".",".","."]] Current Pieces: - Car "C": Position [2,1] - 1x1 Blockers (B1, B2, etc.): Single-cell obstacles that can be moved to clear a path - B4 at [1,1] - B2 at [1,3] - B1 at [2,4] - B3 at [3,3] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - None present - TARGET: Position [2,4] Movement Rules: - Any piece (car "C", 1x1 blockers "B1, B2, etc.", or 2x1 blockers "H1, H2, etc.") can move UP, DOWN, LEFT, or RIGHT - Each move is exactly ONE square in any direction for the entire piece - For 2x1 blockers: The entire piece moves together as a unit (both cells move simultaneously) - Pieces strictly CANNOT move outside the 4x4 grid - Pieces strictly CANNOT move into occupied squares (i.e. squares that already have another piece) - At ANY instant, there CANNOT be two pieces occupying the same square - The same piece can move multiple times in a row if needed - You win when car "C" reaches the TARGET cell Coordinate System: - Use [row,col] format where [1,1] is top-left, [4,4] is bottom-right - Each cell shows its coordinates in black text: (row,col) - For 2x1 blockers, both occupied cells are shown in the piece description Expected Output Format: Wrap your solution in <solution> tags and provide it as a numbered list of moves in this exact format: <solution> Step 1: [PIECE] [start_position] -> [end_position] Step 2: [PIECE] [start_position] -> [end_position] ... </solution> For 1x1 pieces (car "C" and blockers "B1", "B2", etc.): - Use single coordinate: C [2,1] -> [2,2] For 2x1 pieces (blockers "H1", "H2", etc.): - List both coordinates: H1 [[1,1],[1,2]] -> [[2,1],[2,2]] Example response format: <solution> Step 1: B2 [3,2] -> [4,2] Step 2: H1 [(2,3), (3,3)] -> [(1,3), (2,3)] Step 3: B2 [2,4] -> [1,4] Step 4: C [3,1] -> [3,2] Step 5: C [3,2] -> [3,3] Step 6: C [3,3] -> [3,4] Step 7: C [3,4] -> [2,4] </solution>
<solution> Step 1: B1 [2,4] -> [1,4] Step 2: C [2,1] -> [2,2] Step 3: C [2,2] -> [2,3] Step 4: C [2,3] -> [2,4] </solution>
4
easy
puzzle30
Task: Solve this 4x4 Rush Hour puzzle - move car "C" from position [4,4] to the TARGET at position [2,4] given the position of the blockers below. Current Grid State (JSON format): [[".",".","B4","."],["B2",".",".","."],[".","B3",".","B1"],["B5",".",".","C"]] Current Pieces: - Car "C": Position [4,4] - 1x1 Blockers (B1, B2, etc.): Single-cell obstacles that can be moved to clear a path - B4 at [1,3] - B2 at [2,1] - B3 at [3,2] - B1 at [3,4] - B5 at [4,1] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - None present - TARGET: Position [2,4] Movement Rules: - Any piece (car "C", 1x1 blockers "B1, B2, etc.", or 2x1 blockers "H1, H2, etc.") can move UP, DOWN, LEFT, or RIGHT - Each move is exactly ONE square in any direction for the entire piece - For 2x1 blockers: The entire piece moves together as a unit (both cells move simultaneously) - Pieces strictly CANNOT move outside the 4x4 grid - Pieces strictly CANNOT move into occupied squares (i.e. squares that already have another piece) - At ANY instant, there CANNOT be two pieces occupying the same square - The same piece can move multiple times in a row if needed - You win when car "C" reaches the TARGET cell Coordinate System: - Use [row,col] format where [1,1] is top-left, [4,4] is bottom-right - Each cell shows its coordinates in black text: (row,col) - For 2x1 blockers, both occupied cells are shown in the piece description Expected Output Format: Wrap your solution in <solution> tags and provide it as a numbered list of moves in this exact format: <solution> Step 1: [PIECE] [start_position] -> [end_position] Step 2: [PIECE] [start_position] -> [end_position] ... </solution> For 1x1 pieces (car "C" and blockers "B1", "B2", etc.): - Use single coordinate: C [2,1] -> [2,2] For 2x1 pieces (blockers "H1", "H2", etc.): - List both coordinates: H1 [[1,1],[1,2]] -> [[2,1],[2,2]] Example response format: <solution> Step 1: B2 [3,2] -> [4,2] Step 2: H1 [(2,3), (3,3)] -> [(1,3), (2,3)] Step 3: B2 [2,4] -> [1,4] Step 4: C [3,1] -> [3,2] Step 5: C [3,2] -> [3,3] Step 6: C [3,3] -> [3,4] Step 7: C [3,4] -> [2,4] </solution>
<solution> Step 1: B1 [3,4] -> [3,3] Step 2: C [4,4] -> [3,4] Step 3: C [3,4] -> [2,4] </solution>
3
easy
puzzle31
Task: Solve this 4x4 Rush Hour puzzle - move car "C" from position [4,3] to the TARGET at position [2,4] given the position of the blockers below. Current Grid State (JSON format): [[".",".",".","."],["B2",".",".","."],[".","B4","B1","."],["B3",".","C","."]] Current Pieces: - Car "C": Position [4,3] - 1x1 Blockers (B1, B2, etc.): Single-cell obstacles that can be moved to clear a path - B2 at [2,1] - B4 at [3,2] - B1 at [3,3] - B3 at [4,1] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - None present - TARGET: Position [2,4] Movement Rules: - Any piece (car "C", 1x1 blockers "B1, B2, etc.", or 2x1 blockers "H1, H2, etc.") can move UP, DOWN, LEFT, or RIGHT - Each move is exactly ONE square in any direction for the entire piece - For 2x1 blockers: The entire piece moves together as a unit (both cells move simultaneously) - Pieces strictly CANNOT move outside the 4x4 grid - Pieces strictly CANNOT move into occupied squares (i.e. squares that already have another piece) - At ANY instant, there CANNOT be two pieces occupying the same square - The same piece can move multiple times in a row if needed - You win when car "C" reaches the TARGET cell Coordinate System: - Use [row,col] format where [1,1] is top-left, [4,4] is bottom-right - Each cell shows its coordinates in black text: (row,col) - For 2x1 blockers, both occupied cells are shown in the piece description Expected Output Format: Wrap your solution in <solution> tags and provide it as a numbered list of moves in this exact format: <solution> Step 1: [PIECE] [start_position] -> [end_position] Step 2: [PIECE] [start_position] -> [end_position] ... </solution> For 1x1 pieces (car "C" and blockers "B1", "B2", etc.): - Use single coordinate: C [2,1] -> [2,2] For 2x1 pieces (blockers "H1", "H2", etc.): - List both coordinates: H1 [[1,1],[1,2]] -> [[2,1],[2,2]] Example response format: <solution> Step 1: B2 [3,2] -> [4,2] Step 2: H1 [(2,3), (3,3)] -> [(1,3), (2,3)] Step 3: B2 [2,4] -> [1,4] Step 4: C [3,1] -> [3,2] Step 5: C [3,2] -> [3,3] Step 6: C [3,3] -> [3,4] Step 7: C [3,4] -> [2,4] </solution>
<solution> Step 1: C [4,3] -> [4,4] Step 2: C [4,4] -> [3,4] Step 3: C [3,4] -> [2,4] </solution>
3
easy
puzzle32
Task: Solve this 4x4 Rush Hour puzzle - move car "C" from position [1,4] to the TARGET at position [2,4] given the position of the blockers below. Current Grid State (JSON format): [[".",".","B1","C"],["B4",".",".","B2"],[".",".",".","."],["B5",".",".","B3"]] Current Pieces: - Car "C": Position [1,4] - 1x1 Blockers (B1, B2, etc.): Single-cell obstacles that can be moved to clear a path - B1 at [1,3] - B4 at [2,1] - B2 at [2,4] - B5 at [4,1] - B3 at [4,4] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - None present - TARGET: Position [2,4] Movement Rules: - Any piece (car "C", 1x1 blockers "B1, B2, etc.", or 2x1 blockers "H1, H2, etc.") can move UP, DOWN, LEFT, or RIGHT - Each move is exactly ONE square in any direction for the entire piece - For 2x1 blockers: The entire piece moves together as a unit (both cells move simultaneously) - Pieces strictly CANNOT move outside the 4x4 grid - Pieces strictly CANNOT move into occupied squares (i.e. squares that already have another piece) - At ANY instant, there CANNOT be two pieces occupying the same square - The same piece can move multiple times in a row if needed - You win when car "C" reaches the TARGET cell Coordinate System: - Use [row,col] format where [1,1] is top-left, [4,4] is bottom-right - Each cell shows its coordinates in black text: (row,col) - For 2x1 blockers, both occupied cells are shown in the piece description Expected Output Format: Wrap your solution in <solution> tags and provide it as a numbered list of moves in this exact format: <solution> Step 1: [PIECE] [start_position] -> [end_position] Step 2: [PIECE] [start_position] -> [end_position] ... </solution> For 1x1 pieces (car "C" and blockers "B1", "B2", etc.): - Use single coordinate: C [2,1] -> [2,2] For 2x1 pieces (blockers "H1", "H2", etc.): - List both coordinates: H1 [[1,1],[1,2]] -> [[2,1],[2,2]] Example response format: <solution> Step 1: B2 [3,2] -> [4,2] Step 2: H1 [(2,3), (3,3)] -> [(1,3), (2,3)] Step 3: B2 [2,4] -> [1,4] Step 4: C [3,1] -> [3,2] Step 5: C [3,2] -> [3,3] Step 6: C [3,3] -> [3,4] Step 7: C [3,4] -> [2,4] </solution>
<solution> Step 1: B2 [2,4] -> [3,4] Step 2: C [1,4] -> [2,4] </solution>
2
easy
puzzle33
Task: Solve this 4x4 Rush Hour puzzle - move car "C" from position [4,4] to the TARGET at position [2,4] given the position of the blockers below. Current Grid State (JSON format): [["B1","B5",".","."],[".",".","B3","."],[".","B4","B2","."],[".",".",".","C"]] Current Pieces: - Car "C": Position [4,4] - 1x1 Blockers (B1, B2, etc.): Single-cell obstacles that can be moved to clear a path - B1 at [1,1] - B5 at [1,2] - B3 at [2,3] - B4 at [3,2] - B2 at [3,3] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - None present - TARGET: Position [2,4] Movement Rules: - Any piece (car "C", 1x1 blockers "B1, B2, etc.", or 2x1 blockers "H1, H2, etc.") can move UP, DOWN, LEFT, or RIGHT - Each move is exactly ONE square in any direction for the entire piece - For 2x1 blockers: The entire piece moves together as a unit (both cells move simultaneously) - Pieces strictly CANNOT move outside the 4x4 grid - Pieces strictly CANNOT move into occupied squares (i.e. squares that already have another piece) - At ANY instant, there CANNOT be two pieces occupying the same square - The same piece can move multiple times in a row if needed - You win when car "C" reaches the TARGET cell Coordinate System: - Use [row,col] format where [1,1] is top-left, [4,4] is bottom-right - Each cell shows its coordinates in black text: (row,col) - For 2x1 blockers, both occupied cells are shown in the piece description Expected Output Format: Wrap your solution in <solution> tags and provide it as a numbered list of moves in this exact format: <solution> Step 1: [PIECE] [start_position] -> [end_position] Step 2: [PIECE] [start_position] -> [end_position] ... </solution> For 1x1 pieces (car "C" and blockers "B1", "B2", etc.): - Use single coordinate: C [2,1] -> [2,2] For 2x1 pieces (blockers "H1", "H2", etc.): - List both coordinates: H1 [[1,1],[1,2]] -> [[2,1],[2,2]] Example response format: <solution> Step 1: B2 [3,2] -> [4,2] Step 2: H1 [(2,3), (3,3)] -> [(1,3), (2,3)] Step 3: B2 [2,4] -> [1,4] Step 4: C [3,1] -> [3,2] Step 5: C [3,2] -> [3,3] Step 6: C [3,3] -> [3,4] Step 7: C [3,4] -> [2,4] </solution>
<solution> Step 1: C [4,4] -> [3,4] Step 2: C [3,4] -> [2,4] </solution>
2
easy
puzzle34
Task: Solve this 4x4 Rush Hour puzzle - move car "C" from position [4,4] to the TARGET at position [2,4] given the position of the blockers below. Current Grid State (JSON format): [[".",".",".","."],["B4","B1",".","."],[".",".",".","."],[".","B3","B2","C"]] Current Pieces: - Car "C": Position [4,4] - 1x1 Blockers (B1, B2, etc.): Single-cell obstacles that can be moved to clear a path - B4 at [2,1] - B1 at [2,2] - B3 at [4,2] - B2 at [4,3] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - None present - TARGET: Position [2,4] Movement Rules: - Any piece (car "C", 1x1 blockers "B1, B2, etc.", or 2x1 blockers "H1, H2, etc.") can move UP, DOWN, LEFT, or RIGHT - Each move is exactly ONE square in any direction for the entire piece - For 2x1 blockers: The entire piece moves together as a unit (both cells move simultaneously) - Pieces strictly CANNOT move outside the 4x4 grid - Pieces strictly CANNOT move into occupied squares (i.e. squares that already have another piece) - At ANY instant, there CANNOT be two pieces occupying the same square - The same piece can move multiple times in a row if needed - You win when car "C" reaches the TARGET cell Coordinate System: - Use [row,col] format where [1,1] is top-left, [4,4] is bottom-right - Each cell shows its coordinates in black text: (row,col) - For 2x1 blockers, both occupied cells are shown in the piece description Expected Output Format: Wrap your solution in <solution> tags and provide it as a numbered list of moves in this exact format: <solution> Step 1: [PIECE] [start_position] -> [end_position] Step 2: [PIECE] [start_position] -> [end_position] ... </solution> For 1x1 pieces (car "C" and blockers "B1", "B2", etc.): - Use single coordinate: C [2,1] -> [2,2] For 2x1 pieces (blockers "H1", "H2", etc.): - List both coordinates: H1 [[1,1],[1,2]] -> [[2,1],[2,2]] Example response format: <solution> Step 1: B2 [3,2] -> [4,2] Step 2: H1 [(2,3), (3,3)] -> [(1,3), (2,3)] Step 3: B2 [2,4] -> [1,4] Step 4: C [3,1] -> [3,2] Step 5: C [3,2] -> [3,3] Step 6: C [3,3] -> [3,4] Step 7: C [3,4] -> [2,4] </solution>
<solution> Step 1: C [4,4] -> [3,4] Step 2: C [3,4] -> [2,4] </solution>
2
easy
puzzle35
Task: Solve this 4x4 Rush Hour puzzle - move car "C" from position [1,1] to the TARGET at position [2,4] given the position of the blockers below. Current Grid State (JSON format): [["C",".","B3","B4"],["B1",".",".","."],[".",".",".","B2"],[".",".",".","."]] Current Pieces: - Car "C": Position [1,1] - 1x1 Blockers (B1, B2, etc.): Single-cell obstacles that can be moved to clear a path - B3 at [1,3] - B4 at [1,4] - B1 at [2,1] - B2 at [3,4] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - None present - TARGET: Position [2,4] Movement Rules: - Any piece (car "C", 1x1 blockers "B1, B2, etc.", or 2x1 blockers "H1, H2, etc.") can move UP, DOWN, LEFT, or RIGHT - Each move is exactly ONE square in any direction for the entire piece - For 2x1 blockers: The entire piece moves together as a unit (both cells move simultaneously) - Pieces strictly CANNOT move outside the 4x4 grid - Pieces strictly CANNOT move into occupied squares (i.e. squares that already have another piece) - At ANY instant, there CANNOT be two pieces occupying the same square - The same piece can move multiple times in a row if needed - You win when car "C" reaches the TARGET cell Coordinate System: - Use [row,col] format where [1,1] is top-left, [4,4] is bottom-right - Each cell shows its coordinates in black text: (row,col) - For 2x1 blockers, both occupied cells are shown in the piece description Expected Output Format: Wrap your solution in <solution> tags and provide it as a numbered list of moves in this exact format: <solution> Step 1: [PIECE] [start_position] -> [end_position] Step 2: [PIECE] [start_position] -> [end_position] ... </solution> For 1x1 pieces (car "C" and blockers "B1", "B2", etc.): - Use single coordinate: C [2,1] -> [2,2] For 2x1 pieces (blockers "H1", "H2", etc.): - List both coordinates: H1 [[1,1],[1,2]] -> [[2,1],[2,2]] Example response format: <solution> Step 1: B2 [3,2] -> [4,2] Step 2: H1 [(2,3), (3,3)] -> [(1,3), (2,3)] Step 3: B2 [2,4] -> [1,4] Step 4: C [3,1] -> [3,2] Step 5: C [3,2] -> [3,3] Step 6: C [3,3] -> [3,4] Step 7: C [3,4] -> [2,4] </solution>
<solution> Step 1: C [1,1] -> [1,2] Step 2: C [1,2] -> [2,2] Step 3: C [2,2] -> [2,3] Step 4: C [2,3] -> [2,4] </solution>
4
easy
puzzle36
Task: Solve this 4x4 Rush Hour puzzle - move car "C" from position [3,1] to the TARGET at position [2,4] given the position of the blockers below. Current Grid State (JSON format): [[".","B2",".","B5"],[".",".",".","."],["C",".","B4","."],[".",".","B1","B3"]] Current Pieces: - Car "C": Position [3,1] - 1x1 Blockers (B1, B2, etc.): Single-cell obstacles that can be moved to clear a path - B2 at [1,2] - B5 at [1,4] - B4 at [3,3] - B1 at [4,3] - B3 at [4,4] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - None present - TARGET: Position [2,4] Movement Rules: - Any piece (car "C", 1x1 blockers "B1, B2, etc.", or 2x1 blockers "H1, H2, etc.") can move UP, DOWN, LEFT, or RIGHT - Each move is exactly ONE square in any direction for the entire piece - For 2x1 blockers: The entire piece moves together as a unit (both cells move simultaneously) - Pieces strictly CANNOT move outside the 4x4 grid - Pieces strictly CANNOT move into occupied squares (i.e. squares that already have another piece) - At ANY instant, there CANNOT be two pieces occupying the same square - The same piece can move multiple times in a row if needed - You win when car "C" reaches the TARGET cell Coordinate System: - Use [row,col] format where [1,1] is top-left, [4,4] is bottom-right - Each cell shows its coordinates in black text: (row,col) - For 2x1 blockers, both occupied cells are shown in the piece description Expected Output Format: Wrap your solution in <solution> tags and provide it as a numbered list of moves in this exact format: <solution> Step 1: [PIECE] [start_position] -> [end_position] Step 2: [PIECE] [start_position] -> [end_position] ... </solution> For 1x1 pieces (car "C" and blockers "B1", "B2", etc.): - Use single coordinate: C [2,1] -> [2,2] For 2x1 pieces (blockers "H1", "H2", etc.): - List both coordinates: H1 [[1,1],[1,2]] -> [[2,1],[2,2]] Example response format: <solution> Step 1: B2 [3,2] -> [4,2] Step 2: H1 [(2,3), (3,3)] -> [(1,3), (2,3)] Step 3: B2 [2,4] -> [1,4] Step 4: C [3,1] -> [3,2] Step 5: C [3,2] -> [3,3] Step 6: C [3,3] -> [3,4] Step 7: C [3,4] -> [2,4] </solution>
<solution> Step 1: C [3,1] -> [2,1] Step 2: C [2,1] -> [2,2] Step 3: C [2,2] -> [2,3] Step 4: C [2,3] -> [2,4] </solution>
4
easy
puzzle37
Task: Solve this 4x4 Rush Hour puzzle - move car "C" from position [3,4] to the TARGET at position [2,4] given the position of the blockers below. Current Grid State (JSON format): [[".",".","B3","."],[".","B4",".","B1"],[".","B2",".","C"],[".",".",".","."]] Current Pieces: - Car "C": Position [3,4] - 1x1 Blockers (B1, B2, etc.): Single-cell obstacles that can be moved to clear a path - B3 at [1,3] - B4 at [2,2] - B1 at [2,4] - B2 at [3,2] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - None present - TARGET: Position [2,4] Movement Rules: - Any piece (car "C", 1x1 blockers "B1, B2, etc.", or 2x1 blockers "H1, H2, etc.") can move UP, DOWN, LEFT, or RIGHT - Each move is exactly ONE square in any direction for the entire piece - For 2x1 blockers: The entire piece moves together as a unit (both cells move simultaneously) - Pieces strictly CANNOT move outside the 4x4 grid - Pieces strictly CANNOT move into occupied squares (i.e. squares that already have another piece) - At ANY instant, there CANNOT be two pieces occupying the same square - The same piece can move multiple times in a row if needed - You win when car "C" reaches the TARGET cell Coordinate System: - Use [row,col] format where [1,1] is top-left, [4,4] is bottom-right - Each cell shows its coordinates in black text: (row,col) - For 2x1 blockers, both occupied cells are shown in the piece description Expected Output Format: Wrap your solution in <solution> tags and provide it as a numbered list of moves in this exact format: <solution> Step 1: [PIECE] [start_position] -> [end_position] Step 2: [PIECE] [start_position] -> [end_position] ... </solution> For 1x1 pieces (car "C" and blockers "B1", "B2", etc.): - Use single coordinate: C [2,1] -> [2,2] For 2x1 pieces (blockers "H1", "H2", etc.): - List both coordinates: H1 [[1,1],[1,2]] -> [[2,1],[2,2]] Example response format: <solution> Step 1: B2 [3,2] -> [4,2] Step 2: H1 [(2,3), (3,3)] -> [(1,3), (2,3)] Step 3: B2 [2,4] -> [1,4] Step 4: C [3,1] -> [3,2] Step 5: C [3,2] -> [3,3] Step 6: C [3,3] -> [3,4] Step 7: C [3,4] -> [2,4] </solution>
<solution> Step 1: B1 [2,4] -> [1,4] Step 2: C [3,4] -> [2,4] </solution>
2
easy
puzzle38
Task: Solve this 4x4 Rush Hour puzzle - move car "C" from position [4,3] to the TARGET at position [2,4] given the position of the blockers below. Current Grid State (JSON format): [[".",".",".","B3"],["B5",".","B2","."],[".","B1",".","B4"],[".",".","C","."]] Current Pieces: - Car "C": Position [4,3] - 1x1 Blockers (B1, B2, etc.): Single-cell obstacles that can be moved to clear a path - B3 at [1,4] - B5 at [2,1] - B2 at [2,3] - B1 at [3,2] - B4 at [3,4] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - None present - TARGET: Position [2,4] Movement Rules: - Any piece (car "C", 1x1 blockers "B1, B2, etc.", or 2x1 blockers "H1, H2, etc.") can move UP, DOWN, LEFT, or RIGHT - Each move is exactly ONE square in any direction for the entire piece - For 2x1 blockers: The entire piece moves together as a unit (both cells move simultaneously) - Pieces strictly CANNOT move outside the 4x4 grid - Pieces strictly CANNOT move into occupied squares (i.e. squares that already have another piece) - At ANY instant, there CANNOT be two pieces occupying the same square - The same piece can move multiple times in a row if needed - You win when car "C" reaches the TARGET cell Coordinate System: - Use [row,col] format where [1,1] is top-left, [4,4] is bottom-right - Each cell shows its coordinates in black text: (row,col) - For 2x1 blockers, both occupied cells are shown in the piece description Expected Output Format: Wrap your solution in <solution> tags and provide it as a numbered list of moves in this exact format: <solution> Step 1: [PIECE] [start_position] -> [end_position] Step 2: [PIECE] [start_position] -> [end_position] ... </solution> For 1x1 pieces (car "C" and blockers "B1", "B2", etc.): - Use single coordinate: C [2,1] -> [2,2] For 2x1 pieces (blockers "H1", "H2", etc.): - List both coordinates: H1 [[1,1],[1,2]] -> [[2,1],[2,2]] Example response format: <solution> Step 1: B2 [3,2] -> [4,2] Step 2: H1 [(2,3), (3,3)] -> [(1,3), (2,3)] Step 3: B2 [2,4] -> [1,4] Step 4: C [3,1] -> [3,2] Step 5: C [3,2] -> [3,3] Step 6: C [3,3] -> [3,4] Step 7: C [3,4] -> [2,4] </solution>
<solution> Step 1: B2 [2,3] -> [1,3] Step 2: C [4,3] -> [3,3] Step 3: C [3,3] -> [2,3] Step 4: C [2,3] -> [2,4] </solution>
4
easy
puzzle39
Task: Solve this 4x4 Rush Hour puzzle - move car "C" from position [2,1] to the TARGET at position [2,4] given the position of the blockers below. Current Grid State (JSON format): [[".",".",".","."],["C",".","B4","B1"],[".",".","B5","."],["B2","B3",".","."]] Current Pieces: - Car "C": Position [2,1] - 1x1 Blockers (B1, B2, etc.): Single-cell obstacles that can be moved to clear a path - B4 at [2,3] - B1 at [2,4] - B5 at [3,3] - B2 at [4,1] - B3 at [4,2] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - None present - TARGET: Position [2,4] Movement Rules: - Any piece (car "C", 1x1 blockers "B1, B2, etc.", or 2x1 blockers "H1, H2, etc.") can move UP, DOWN, LEFT, or RIGHT - Each move is exactly ONE square in any direction for the entire piece - For 2x1 blockers: The entire piece moves together as a unit (both cells move simultaneously) - Pieces strictly CANNOT move outside the 4x4 grid - Pieces strictly CANNOT move into occupied squares (i.e. squares that already have another piece) - At ANY instant, there CANNOT be two pieces occupying the same square - The same piece can move multiple times in a row if needed - You win when car "C" reaches the TARGET cell Coordinate System: - Use [row,col] format where [1,1] is top-left, [4,4] is bottom-right - Each cell shows its coordinates in black text: (row,col) - For 2x1 blockers, both occupied cells are shown in the piece description Expected Output Format: Wrap your solution in <solution> tags and provide it as a numbered list of moves in this exact format: <solution> Step 1: [PIECE] [start_position] -> [end_position] Step 2: [PIECE] [start_position] -> [end_position] ... </solution> For 1x1 pieces (car "C" and blockers "B1", "B2", etc.): - Use single coordinate: C [2,1] -> [2,2] For 2x1 pieces (blockers "H1", "H2", etc.): - List both coordinates: H1 [[1,1],[1,2]] -> [[2,1],[2,2]] Example response format: <solution> Step 1: B2 [3,2] -> [4,2] Step 2: H1 [(2,3), (3,3)] -> [(1,3), (2,3)] Step 3: B2 [2,4] -> [1,4] Step 4: C [3,1] -> [3,2] Step 5: C [3,2] -> [3,3] Step 6: C [3,3] -> [3,4] Step 7: C [3,4] -> [2,4] </solution>
<solution> Step 1: B1 [2,4] -> [1,4] Step 2: C [2,1] -> [2,2] Step 3: B4 [2,3] -> [1,3] Step 4: C [2,2] -> [2,3] Step 5: C [2,3] -> [2,4] </solution>
5
easy
puzzle40
Task: Solve this 4x4 Rush Hour puzzle - move car "C" from position [3,1] to the TARGET at position [2,4] given the position of the blockers below. Current Grid State (JSON format): [[".","B1","B4","."],["B2","B3",".","."],["C",".","B5","."],[".",".",".","."]] Current Pieces: - Car "C": Position [3,1] - 1x1 Blockers (B1, B2, etc.): Single-cell obstacles that can be moved to clear a path - B1 at [1,2] - B4 at [1,3] - B2 at [2,1] - B3 at [2,2] - B5 at [3,3] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - None present - TARGET: Position [2,4] Movement Rules: - Any piece (car "C", 1x1 blockers "B1, B2, etc.", or 2x1 blockers "H1, H2, etc.") can move UP, DOWN, LEFT, or RIGHT - Each move is exactly ONE square in any direction for the entire piece - For 2x1 blockers: The entire piece moves together as a unit (both cells move simultaneously) - Pieces strictly CANNOT move outside the 4x4 grid - Pieces strictly CANNOT move into occupied squares (i.e. squares that already have another piece) - At ANY instant, there CANNOT be two pieces occupying the same square - The same piece can move multiple times in a row if needed - You win when car "C" reaches the TARGET cell Coordinate System: - Use [row,col] format where [1,1] is top-left, [4,4] is bottom-right - Each cell shows its coordinates in black text: (row,col) - For 2x1 blockers, both occupied cells are shown in the piece description Expected Output Format: Wrap your solution in <solution> tags and provide it as a numbered list of moves in this exact format: <solution> Step 1: [PIECE] [start_position] -> [end_position] Step 2: [PIECE] [start_position] -> [end_position] ... </solution> For 1x1 pieces (car "C" and blockers "B1", "B2", etc.): - Use single coordinate: C [2,1] -> [2,2] For 2x1 pieces (blockers "H1", "H2", etc.): - List both coordinates: H1 [[1,1],[1,2]] -> [[2,1],[2,2]] Example response format: <solution> Step 1: B2 [3,2] -> [4,2] Step 2: H1 [(2,3), (3,3)] -> [(1,3), (2,3)] Step 3: B2 [2,4] -> [1,4] Step 4: C [3,1] -> [3,2] Step 5: C [3,2] -> [3,3] Step 6: C [3,3] -> [3,4] Step 7: C [3,4] -> [2,4] </solution>
<solution> Step 1: B5 [3,3] -> [2,3] Step 2: C [3,1] -> [3,2] Step 3: C [3,2] -> [3,3] Step 4: C [3,3] -> [3,4] Step 5: C [3,4] -> [2,4] </solution>
5
easy
puzzle41
Task: Solve this 4x4 Rush Hour puzzle - move car "C" from position [3,3] to the TARGET at position [2,4] given the position of the blockers below. Current Grid State (JSON format): [[".",".",".","B2"],["B4",".",".","."],["B1",".","C","."],["B3",".",".","."]] Current Pieces: - Car "C": Position [3,3] - 1x1 Blockers (B1, B2, etc.): Single-cell obstacles that can be moved to clear a path - B2 at [1,4] - B4 at [2,1] - B1 at [3,1] - B3 at [4,1] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - None present - TARGET: Position [2,4] Movement Rules: - Any piece (car "C", 1x1 blockers "B1, B2, etc.", or 2x1 blockers "H1, H2, etc.") can move UP, DOWN, LEFT, or RIGHT - Each move is exactly ONE square in any direction for the entire piece - For 2x1 blockers: The entire piece moves together as a unit (both cells move simultaneously) - Pieces strictly CANNOT move outside the 4x4 grid - Pieces strictly CANNOT move into occupied squares (i.e. squares that already have another piece) - At ANY instant, there CANNOT be two pieces occupying the same square - The same piece can move multiple times in a row if needed - You win when car "C" reaches the TARGET cell Coordinate System: - Use [row,col] format where [1,1] is top-left, [4,4] is bottom-right - Each cell shows its coordinates in black text: (row,col) - For 2x1 blockers, both occupied cells are shown in the piece description Expected Output Format: Wrap your solution in <solution> tags and provide it as a numbered list of moves in this exact format: <solution> Step 1: [PIECE] [start_position] -> [end_position] Step 2: [PIECE] [start_position] -> [end_position] ... </solution> For 1x1 pieces (car "C" and blockers "B1", "B2", etc.): - Use single coordinate: C [2,1] -> [2,2] For 2x1 pieces (blockers "H1", "H2", etc.): - List both coordinates: H1 [[1,1],[1,2]] -> [[2,1],[2,2]] Example response format: <solution> Step 1: B2 [3,2] -> [4,2] Step 2: H1 [(2,3), (3,3)] -> [(1,3), (2,3)] Step 3: B2 [2,4] -> [1,4] Step 4: C [3,1] -> [3,2] Step 5: C [3,2] -> [3,3] Step 6: C [3,3] -> [3,4] Step 7: C [3,4] -> [2,4] </solution>
<solution> Step 1: C [3,3] -> [2,3] Step 2: C [2,3] -> [2,4] </solution>
2
easy
puzzle42
Task: Solve this 4x4 Rush Hour puzzle - move car "C" from position [1,2] to the TARGET at position [2,4] given the position of the blockers below. Current Grid State (JSON format): [["B3","C",".","."],[".","B4",".","."],[".",".",".","B2"],["B1",".",".","."]] Current Pieces: - Car "C": Position [1,2] - 1x1 Blockers (B1, B2, etc.): Single-cell obstacles that can be moved to clear a path - B3 at [1,1] - B4 at [2,2] - B2 at [3,4] - B1 at [4,1] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - None present - TARGET: Position [2,4] Movement Rules: - Any piece (car "C", 1x1 blockers "B1, B2, etc.", or 2x1 blockers "H1, H2, etc.") can move UP, DOWN, LEFT, or RIGHT - Each move is exactly ONE square in any direction for the entire piece - For 2x1 blockers: The entire piece moves together as a unit (both cells move simultaneously) - Pieces strictly CANNOT move outside the 4x4 grid - Pieces strictly CANNOT move into occupied squares (i.e. squares that already have another piece) - At ANY instant, there CANNOT be two pieces occupying the same square - The same piece can move multiple times in a row if needed - You win when car "C" reaches the TARGET cell Coordinate System: - Use [row,col] format where [1,1] is top-left, [4,4] is bottom-right - Each cell shows its coordinates in black text: (row,col) - For 2x1 blockers, both occupied cells are shown in the piece description Expected Output Format: Wrap your solution in <solution> tags and provide it as a numbered list of moves in this exact format: <solution> Step 1: [PIECE] [start_position] -> [end_position] Step 2: [PIECE] [start_position] -> [end_position] ... </solution> For 1x1 pieces (car "C" and blockers "B1", "B2", etc.): - Use single coordinate: C [2,1] -> [2,2] For 2x1 pieces (blockers "H1", "H2", etc.): - List both coordinates: H1 [[1,1],[1,2]] -> [[2,1],[2,2]] Example response format: <solution> Step 1: B2 [3,2] -> [4,2] Step 2: H1 [(2,3), (3,3)] -> [(1,3), (2,3)] Step 3: B2 [2,4] -> [1,4] Step 4: C [3,1] -> [3,2] Step 5: C [3,2] -> [3,3] Step 6: C [3,3] -> [3,4] Step 7: C [3,4] -> [2,4] </solution>
<solution> Step 1: C [1,2] -> [1,3] Step 2: C [1,3] -> [2,3] Step 3: C [2,3] -> [2,4] </solution>
3
easy
puzzle43
Task: Solve this 4x4 Rush Hour puzzle - move car "C" from position [4,4] to the TARGET at position [2,4] given the position of the blockers below. Current Grid State (JSON format): [["B1",".","B4","."],[".",".","B3","."],[".",".",".","."],[".",".","B2","C"]] Current Pieces: - Car "C": Position [4,4] - 1x1 Blockers (B1, B2, etc.): Single-cell obstacles that can be moved to clear a path - B1 at [1,1] - B4 at [1,3] - B3 at [2,3] - B2 at [4,3] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - None present - TARGET: Position [2,4] Movement Rules: - Any piece (car "C", 1x1 blockers "B1, B2, etc.", or 2x1 blockers "H1, H2, etc.") can move UP, DOWN, LEFT, or RIGHT - Each move is exactly ONE square in any direction for the entire piece - For 2x1 blockers: The entire piece moves together as a unit (both cells move simultaneously) - Pieces strictly CANNOT move outside the 4x4 grid - Pieces strictly CANNOT move into occupied squares (i.e. squares that already have another piece) - At ANY instant, there CANNOT be two pieces occupying the same square - The same piece can move multiple times in a row if needed - You win when car "C" reaches the TARGET cell Coordinate System: - Use [row,col] format where [1,1] is top-left, [4,4] is bottom-right - Each cell shows its coordinates in black text: (row,col) - For 2x1 blockers, both occupied cells are shown in the piece description Expected Output Format: Wrap your solution in <solution> tags and provide it as a numbered list of moves in this exact format: <solution> Step 1: [PIECE] [start_position] -> [end_position] Step 2: [PIECE] [start_position] -> [end_position] ... </solution> For 1x1 pieces (car "C" and blockers "B1", "B2", etc.): - Use single coordinate: C [2,1] -> [2,2] For 2x1 pieces (blockers "H1", "H2", etc.): - List both coordinates: H1 [[1,1],[1,2]] -> [[2,1],[2,2]] Example response format: <solution> Step 1: B2 [3,2] -> [4,2] Step 2: H1 [(2,3), (3,3)] -> [(1,3), (2,3)] Step 3: B2 [2,4] -> [1,4] Step 4: C [3,1] -> [3,2] Step 5: C [3,2] -> [3,3] Step 6: C [3,3] -> [3,4] Step 7: C [3,4] -> [2,4] </solution>
<solution> Step 1: C [4,4] -> [3,4] Step 2: C [3,4] -> [2,4] </solution>
2
easy
puzzle44
Task: Solve this 4x4 Rush Hour puzzle - move car "C" from position [1,4] to the TARGET at position [2,4] given the position of the blockers below. Current Grid State (JSON format): [[".",".",".","C"],["B4","B1",".","."],[".","B3",".","."],["B2","B5",".","."]] Current Pieces: - Car "C": Position [1,4] - 1x1 Blockers (B1, B2, etc.): Single-cell obstacles that can be moved to clear a path - B4 at [2,1] - B1 at [2,2] - B3 at [3,2] - B2 at [4,1] - B5 at [4,2] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - None present - TARGET: Position [2,4] Movement Rules: - Any piece (car "C", 1x1 blockers "B1, B2, etc.", or 2x1 blockers "H1, H2, etc.") can move UP, DOWN, LEFT, or RIGHT - Each move is exactly ONE square in any direction for the entire piece - For 2x1 blockers: The entire piece moves together as a unit (both cells move simultaneously) - Pieces strictly CANNOT move outside the 4x4 grid - Pieces strictly CANNOT move into occupied squares (i.e. squares that already have another piece) - At ANY instant, there CANNOT be two pieces occupying the same square - The same piece can move multiple times in a row if needed - You win when car "C" reaches the TARGET cell Coordinate System: - Use [row,col] format where [1,1] is top-left, [4,4] is bottom-right - Each cell shows its coordinates in black text: (row,col) - For 2x1 blockers, both occupied cells are shown in the piece description Expected Output Format: Wrap your solution in <solution> tags and provide it as a numbered list of moves in this exact format: <solution> Step 1: [PIECE] [start_position] -> [end_position] Step 2: [PIECE] [start_position] -> [end_position] ... </solution> For 1x1 pieces (car "C" and blockers "B1", "B2", etc.): - Use single coordinate: C [2,1] -> [2,2] For 2x1 pieces (blockers "H1", "H2", etc.): - List both coordinates: H1 [[1,1],[1,2]] -> [[2,1],[2,2]] Example response format: <solution> Step 1: B2 [3,2] -> [4,2] Step 2: H1 [(2,3), (3,3)] -> [(1,3), (2,3)] Step 3: B2 [2,4] -> [1,4] Step 4: C [3,1] -> [3,2] Step 5: C [3,2] -> [3,3] Step 6: C [3,3] -> [3,4] Step 7: C [3,4] -> [2,4] </solution>
<solution> Step 1: C [1,4] -> [2,4] </solution>
1
easy
puzzle45
Task: Solve this 4x4 Rush Hour puzzle - move car "C" from position [4,1] to the TARGET at position [2,4] given the position of the blockers below. Current Grid State (JSON format): [[".",".",".","."],[".",".",".","B4"],[".","B2","B3","."],["C",".",".","B1"]] Current Pieces: - Car "C": Position [4,1] - 1x1 Blockers (B1, B2, etc.): Single-cell obstacles that can be moved to clear a path - B4 at [2,4] - B2 at [3,2] - B3 at [3,3] - B1 at [4,4] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - None present - TARGET: Position [2,4] Movement Rules: - Any piece (car "C", 1x1 blockers "B1, B2, etc.", or 2x1 blockers "H1, H2, etc.") can move UP, DOWN, LEFT, or RIGHT - Each move is exactly ONE square in any direction for the entire piece - For 2x1 blockers: The entire piece moves together as a unit (both cells move simultaneously) - Pieces strictly CANNOT move outside the 4x4 grid - Pieces strictly CANNOT move into occupied squares (i.e. squares that already have another piece) - At ANY instant, there CANNOT be two pieces occupying the same square - The same piece can move multiple times in a row if needed - You win when car "C" reaches the TARGET cell Coordinate System: - Use [row,col] format where [1,1] is top-left, [4,4] is bottom-right - Each cell shows its coordinates in black text: (row,col) - For 2x1 blockers, both occupied cells are shown in the piece description Expected Output Format: Wrap your solution in <solution> tags and provide it as a numbered list of moves in this exact format: <solution> Step 1: [PIECE] [start_position] -> [end_position] Step 2: [PIECE] [start_position] -> [end_position] ... </solution> For 1x1 pieces (car "C" and blockers "B1", "B2", etc.): - Use single coordinate: C [2,1] -> [2,2] For 2x1 pieces (blockers "H1", "H2", etc.): - List both coordinates: H1 [[1,1],[1,2]] -> [[2,1],[2,2]] Example response format: <solution> Step 1: B2 [3,2] -> [4,2] Step 2: H1 [(2,3), (3,3)] -> [(1,3), (2,3)] Step 3: B2 [2,4] -> [1,4] Step 4: C [3,1] -> [3,2] Step 5: C [3,2] -> [3,3] Step 6: C [3,3] -> [3,4] Step 7: C [3,4] -> [2,4] </solution>
<solution> Step 1: C [4,1] -> [3,1] Step 2: C [3,1] -> [2,1] Step 3: C [2,1] -> [2,2] Step 4: C [2,2] -> [2,3] Step 5: B4 [2,4] -> [1,4] Step 6: C [2,3] -> [2,4] </solution>
6
easy
puzzle46
Task: Solve this 4x4 Rush Hour puzzle - move car "C" from position [4,2] to the TARGET at position [2,4] given the position of the blockers below. Current Grid State (JSON format): [[".",".",".","B4"],[".",".","B3","B1"],[".",".",".","."],[".","C","B2","."]] Current Pieces: - Car "C": Position [4,2] - 1x1 Blockers (B1, B2, etc.): Single-cell obstacles that can be moved to clear a path - B4 at [1,4] - B3 at [2,3] - B1 at [2,4] - B2 at [4,3] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - None present - TARGET: Position [2,4] Movement Rules: - Any piece (car "C", 1x1 blockers "B1, B2, etc.", or 2x1 blockers "H1, H2, etc.") can move UP, DOWN, LEFT, or RIGHT - Each move is exactly ONE square in any direction for the entire piece - For 2x1 blockers: The entire piece moves together as a unit (both cells move simultaneously) - Pieces strictly CANNOT move outside the 4x4 grid - Pieces strictly CANNOT move into occupied squares (i.e. squares that already have another piece) - At ANY instant, there CANNOT be two pieces occupying the same square - The same piece can move multiple times in a row if needed - You win when car "C" reaches the TARGET cell Coordinate System: - Use [row,col] format where [1,1] is top-left, [4,4] is bottom-right - Each cell shows its coordinates in black text: (row,col) - For 2x1 blockers, both occupied cells are shown in the piece description Expected Output Format: Wrap your solution in <solution> tags and provide it as a numbered list of moves in this exact format: <solution> Step 1: [PIECE] [start_position] -> [end_position] Step 2: [PIECE] [start_position] -> [end_position] ... </solution> For 1x1 pieces (car "C" and blockers "B1", "B2", etc.): - Use single coordinate: C [2,1] -> [2,2] For 2x1 pieces (blockers "H1", "H2", etc.): - List both coordinates: H1 [[1,1],[1,2]] -> [[2,1],[2,2]] Example response format: <solution> Step 1: B2 [3,2] -> [4,2] Step 2: H1 [(2,3), (3,3)] -> [(1,3), (2,3)] Step 3: B2 [2,4] -> [1,4] Step 4: C [3,1] -> [3,2] Step 5: C [3,2] -> [3,3] Step 6: C [3,3] -> [3,4] Step 7: C [3,4] -> [2,4] </solution>
<solution> Step 1: B1 [2,4] -> [3,4] Step 2: B1 [3,4] -> [4,4] Step 3: C [4,2] -> [3,2] Step 4: C [3,2] -> [3,3] Step 5: C [3,3] -> [3,4] Step 6: C [3,4] -> [2,4] </solution>
6
easy
puzzle47
Task: Solve this 4x4 Rush Hour puzzle - move car "C" from position [1,2] to the TARGET at position [2,4] given the position of the blockers below. Current Grid State (JSON format): [[".","C",".","."],[".",".","B3","B2"],[".","B4",".","B1"],[".",".",".","."]] Current Pieces: - Car "C": Position [1,2] - 1x1 Blockers (B1, B2, etc.): Single-cell obstacles that can be moved to clear a path - B3 at [2,3] - B2 at [2,4] - B4 at [3,2] - B1 at [3,4] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - None present - TARGET: Position [2,4] Movement Rules: - Any piece (car "C", 1x1 blockers "B1, B2, etc.", or 2x1 blockers "H1, H2, etc.") can move UP, DOWN, LEFT, or RIGHT - Each move is exactly ONE square in any direction for the entire piece - For 2x1 blockers: The entire piece moves together as a unit (both cells move simultaneously) - Pieces strictly CANNOT move outside the 4x4 grid - Pieces strictly CANNOT move into occupied squares (i.e. squares that already have another piece) - At ANY instant, there CANNOT be two pieces occupying the same square - The same piece can move multiple times in a row if needed - You win when car "C" reaches the TARGET cell Coordinate System: - Use [row,col] format where [1,1] is top-left, [4,4] is bottom-right - Each cell shows its coordinates in black text: (row,col) - For 2x1 blockers, both occupied cells are shown in the piece description Expected Output Format: Wrap your solution in <solution> tags and provide it as a numbered list of moves in this exact format: <solution> Step 1: [PIECE] [start_position] -> [end_position] Step 2: [PIECE] [start_position] -> [end_position] ... </solution> For 1x1 pieces (car "C" and blockers "B1", "B2", etc.): - Use single coordinate: C [2,1] -> [2,2] For 2x1 pieces (blockers "H1", "H2", etc.): - List both coordinates: H1 [[1,1],[1,2]] -> [[2,1],[2,2]] Example response format: <solution> Step 1: B2 [3,2] -> [4,2] Step 2: H1 [(2,3), (3,3)] -> [(1,3), (2,3)] Step 3: B2 [2,4] -> [1,4] Step 4: C [3,1] -> [3,2] Step 5: C [3,2] -> [3,3] Step 6: C [3,3] -> [3,4] Step 7: C [3,4] -> [2,4] </solution>
<solution> Step 1: B1 [3,4] -> [4,4] Step 2: B2 [2,4] -> [3,4] Step 3: C [1,2] -> [1,3] Step 4: C [1,3] -> [1,4] Step 5: C [1,4] -> [2,4] </solution>
5
easy
puzzle48
Task: Solve this 4x4 Rush Hour puzzle - move car "C" from position [3,1] to the TARGET at position [2,4] given the position of the blockers below. Current Grid State (JSON format): [[".","B3",".","."],[".",".",".","."],["C",".",".","B1"],["B2","H1","H1","."]] Current Pieces: - Car "C": Position [3,1] - 1x1 Blockers (B1, B2, etc.): Single-cell obstacles that can be moved to clear a path - B3 at [1,2] - B1 at [3,4] - B2 at [4,1] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - H1 (horizontal) at [4,2], [4,3] - TARGET: Position [2,4] Movement Rules: - Any piece (car "C", 1x1 blockers "B1, B2, etc.", or 2x1 blockers "H1, H2, etc.") can move UP, DOWN, LEFT, or RIGHT - Each move is exactly ONE square in any direction for the entire piece - For 2x1 blockers: The entire piece moves together as a unit (both cells move simultaneously) - Pieces strictly CANNOT move outside the 4x4 grid - Pieces strictly CANNOT move into occupied squares (i.e. squares that already have another piece) - At ANY instant, there CANNOT be two pieces occupying the same square - The same piece can move multiple times in a row if needed - You win when car "C" reaches the TARGET cell Coordinate System: - Use [row,col] format where [1,1] is top-left, [4,4] is bottom-right - Each cell shows its coordinates in black text: (row,col) - For 2x1 blockers, both occupied cells are shown in the piece description Expected Output Format: Wrap your solution in <solution> tags and provide it as a numbered list of moves in this exact format: <solution> Step 1: [PIECE] [start_position] -> [end_position] Step 2: [PIECE] [start_position] -> [end_position] ... </solution> For 1x1 pieces (car "C" and blockers "B1", "B2", etc.): - Use single coordinate: C [2,1] -> [2,2] For 2x1 pieces (blockers "H1", "H2", etc.): - List both coordinates: H1 [[1,1],[1,2]] -> [[2,1],[2,2]] Example response format: <solution> Step 1: B2 [3,2] -> [4,2] Step 2: H1 [(2,3), (3,3)] -> [(1,3), (2,3)] Step 3: B2 [2,4] -> [1,4] Step 4: C [3,1] -> [3,2] Step 5: C [3,2] -> [3,3] Step 6: C [3,3] -> [3,4] Step 7: C [3,4] -> [2,4] </solution>
<solution> Step 1: C [3,1] -> [2,1] Step 2: C [2,1] -> [2,2] Step 3: C [2,2] -> [2,3] Step 4: C [2,3] -> [2,4] </solution>
4
easy
puzzle49
Task: Solve this 4x4 Rush Hour puzzle - move car "C" from position [2,3] to the TARGET at position [2,4] given the position of the blockers below. Current Grid State (JSON format): [[".","B4",".","."],[".","B2","C","."],[".",".",".","."],["B1",".",".","B3"]] Current Pieces: - Car "C": Position [2,3] - 1x1 Blockers (B1, B2, etc.): Single-cell obstacles that can be moved to clear a path - B4 at [1,2] - B2 at [2,2] - B1 at [4,1] - B3 at [4,4] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - None present - TARGET: Position [2,4] Movement Rules: - Any piece (car "C", 1x1 blockers "B1, B2, etc.", or 2x1 blockers "H1, H2, etc.") can move UP, DOWN, LEFT, or RIGHT - Each move is exactly ONE square in any direction for the entire piece - For 2x1 blockers: The entire piece moves together as a unit (both cells move simultaneously) - Pieces strictly CANNOT move outside the 4x4 grid - Pieces strictly CANNOT move into occupied squares (i.e. squares that already have another piece) - At ANY instant, there CANNOT be two pieces occupying the same square - The same piece can move multiple times in a row if needed - You win when car "C" reaches the TARGET cell Coordinate System: - Use [row,col] format where [1,1] is top-left, [4,4] is bottom-right - Each cell shows its coordinates in black text: (row,col) - For 2x1 blockers, both occupied cells are shown in the piece description Expected Output Format: Wrap your solution in <solution> tags and provide it as a numbered list of moves in this exact format: <solution> Step 1: [PIECE] [start_position] -> [end_position] Step 2: [PIECE] [start_position] -> [end_position] ... </solution> For 1x1 pieces (car "C" and blockers "B1", "B2", etc.): - Use single coordinate: C [2,1] -> [2,2] For 2x1 pieces (blockers "H1", "H2", etc.): - List both coordinates: H1 [[1,1],[1,2]] -> [[2,1],[2,2]] Example response format: <solution> Step 1: B2 [3,2] -> [4,2] Step 2: H1 [(2,3), (3,3)] -> [(1,3), (2,3)] Step 3: B2 [2,4] -> [1,4] Step 4: C [3,1] -> [3,2] Step 5: C [3,2] -> [3,3] Step 6: C [3,3] -> [3,4] Step 7: C [3,4] -> [2,4] </solution>
<solution> Step 1: C [2,3] -> [2,4] </solution>
1
easy
puzzle50
Task: Solve this 4x4 Rush Hour puzzle - move car "C" from position [1,4] to the TARGET at position [2,4] given the position of the blockers below. Current Grid State (JSON format): [[".",".","B4","C"],["B1",".",".","."],[".","B3","B2","."],[".",".",".","."]] Current Pieces: - Car "C": Position [1,4] - 1x1 Blockers (B1, B2, etc.): Single-cell obstacles that can be moved to clear a path - B4 at [1,3] - B1 at [2,1] - B3 at [3,2] - B2 at [3,3] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - None present - TARGET: Position [2,4] Movement Rules: - Any piece (car "C", 1x1 blockers "B1, B2, etc.", or 2x1 blockers "H1, H2, etc.") can move UP, DOWN, LEFT, or RIGHT - Each move is exactly ONE square in any direction for the entire piece - For 2x1 blockers: The entire piece moves together as a unit (both cells move simultaneously) - Pieces strictly CANNOT move outside the 4x4 grid - Pieces strictly CANNOT move into occupied squares (i.e. squares that already have another piece) - At ANY instant, there CANNOT be two pieces occupying the same square - The same piece can move multiple times in a row if needed - You win when car "C" reaches the TARGET cell Coordinate System: - Use [row,col] format where [1,1] is top-left, [4,4] is bottom-right - Each cell shows its coordinates in black text: (row,col) - For 2x1 blockers, both occupied cells are shown in the piece description Expected Output Format: Wrap your solution in <solution> tags and provide it as a numbered list of moves in this exact format: <solution> Step 1: [PIECE] [start_position] -> [end_position] Step 2: [PIECE] [start_position] -> [end_position] ... </solution> For 1x1 pieces (car "C" and blockers "B1", "B2", etc.): - Use single coordinate: C [2,1] -> [2,2] For 2x1 pieces (blockers "H1", "H2", etc.): - List both coordinates: H1 [[1,1],[1,2]] -> [[2,1],[2,2]] Example response format: <solution> Step 1: B2 [3,2] -> [4,2] Step 2: H1 [(2,3), (3,3)] -> [(1,3), (2,3)] Step 3: B2 [2,4] -> [1,4] Step 4: C [3,1] -> [3,2] Step 5: C [3,2] -> [3,3] Step 6: C [3,3] -> [3,4] Step 7: C [3,4] -> [2,4] </solution>
<solution> Step 1: C [1,4] -> [2,4] </solution>
1
easy
puzzle51
Task: Solve this 4x4 Rush Hour puzzle - move car "C" from position [1,3] to the TARGET at position [2,4] given the position of the blockers below. Current Grid State (JSON format): [[".","B2","C","."],["B1",".",".","H1"],[".",".",".","H1"],["B3",".","B4","."]] Current Pieces: - Car "C": Position [1,3] - 1x1 Blockers (B1, B2, etc.): Single-cell obstacles that can be moved to clear a path - B2 at [1,2] - B1 at [2,1] - B3 at [4,1] - B4 at [4,3] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - H1 (vertical) at [2,4], [3,4] - TARGET: Position [2,4] Movement Rules: - Any piece (car "C", 1x1 blockers "B1, B2, etc.", or 2x1 blockers "H1, H2, etc.") can move UP, DOWN, LEFT, or RIGHT - Each move is exactly ONE square in any direction for the entire piece - For 2x1 blockers: The entire piece moves together as a unit (both cells move simultaneously) - Pieces strictly CANNOT move outside the 4x4 grid - Pieces strictly CANNOT move into occupied squares (i.e. squares that already have another piece) - At ANY instant, there CANNOT be two pieces occupying the same square - The same piece can move multiple times in a row if needed - You win when car "C" reaches the TARGET cell Coordinate System: - Use [row,col] format where [1,1] is top-left, [4,4] is bottom-right - Each cell shows its coordinates in black text: (row,col) - For 2x1 blockers, both occupied cells are shown in the piece description Expected Output Format: Wrap your solution in <solution> tags and provide it as a numbered list of moves in this exact format: <solution> Step 1: [PIECE] [start_position] -> [end_position] Step 2: [PIECE] [start_position] -> [end_position] ... </solution> For 1x1 pieces (car "C" and blockers "B1", "B2", etc.): - Use single coordinate: C [2,1] -> [2,2] For 2x1 pieces (blockers "H1", "H2", etc.): - List both coordinates: H1 [[1,1],[1,2]] -> [[2,1],[2,2]] Example response format: <solution> Step 1: B2 [3,2] -> [4,2] Step 2: H1 [(2,3), (3,3)] -> [(1,3), (2,3)] Step 3: B2 [2,4] -> [1,4] Step 4: C [3,1] -> [3,2] Step 5: C [3,2] -> [3,3] Step 6: C [3,3] -> [3,4] Step 7: C [3,4] -> [2,4] </solution>
<solution> Step 1: C [1,3] -> [2,3] Step 2: H1 [(2, 4), (3, 4)] -> [(3, 4), (4, 4)] Step 3: C [2,3] -> [2,4] </solution>
3
medium
puzzle52
Task: Solve this 4x4 Rush Hour puzzle - move car "C" from position [1,1] to the TARGET at position [2,4] given the position of the blockers below. Current Grid State (JSON format): [["C","H1","H1","."],[".",".","B2","H2"],[".",".",".","H2"],["B1",".",".","."]] Current Pieces: - Car "C": Position [1,1] - 1x1 Blockers (B1, B2, etc.): Single-cell obstacles that can be moved to clear a path - B2 at [2,3] - B1 at [4,1] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - H1 (horizontal) at [1,2], [1,3] - H2 (vertical) at [2,4], [3,4] - TARGET: Position [2,4] Movement Rules: - Any piece (car "C", 1x1 blockers "B1, B2, etc.", or 2x1 blockers "H1, H2, etc.") can move UP, DOWN, LEFT, or RIGHT - Each move is exactly ONE square in any direction for the entire piece - For 2x1 blockers: The entire piece moves together as a unit (both cells move simultaneously) - Pieces strictly CANNOT move outside the 4x4 grid - Pieces strictly CANNOT move into occupied squares (i.e. squares that already have another piece) - At ANY instant, there CANNOT be two pieces occupying the same square - The same piece can move multiple times in a row if needed - You win when car "C" reaches the TARGET cell Coordinate System: - Use [row,col] format where [1,1] is top-left, [4,4] is bottom-right - Each cell shows its coordinates in black text: (row,col) - For 2x1 blockers, both occupied cells are shown in the piece description Expected Output Format: Wrap your solution in <solution> tags and provide it as a numbered list of moves in this exact format: <solution> Step 1: [PIECE] [start_position] -> [end_position] Step 2: [PIECE] [start_position] -> [end_position] ... </solution> For 1x1 pieces (car "C" and blockers "B1", "B2", etc.): - Use single coordinate: C [2,1] -> [2,2] For 2x1 pieces (blockers "H1", "H2", etc.): - List both coordinates: H1 [[1,1],[1,2]] -> [[2,1],[2,2]] Example response format: <solution> Step 1: B2 [3,2] -> [4,2] Step 2: H1 [(2,3), (3,3)] -> [(1,3), (2,3)] Step 3: B2 [2,4] -> [1,4] Step 4: C [3,1] -> [3,2] Step 5: C [3,2] -> [3,3] Step 6: C [3,3] -> [3,4] Step 7: C [3,4] -> [2,4] </solution>
<solution> Step 1: B2 [2,3] -> [3,3] Step 2: C [1,1] -> [2,1] Step 3: C [2,1] -> [2,2] Step 4: C [2,2] -> [2,3] Step 5: H2 [(2, 4), (3, 4)] -> [(3, 4), (4, 4)] Step 6: C [2,3] -> [2,4] </solution>
6
medium
puzzle53
Task: Solve this 4x4 Rush Hour puzzle - move car "C" from position [4,4] to the TARGET at position [2,4] given the position of the blockers below. Current Grid State (JSON format): [["B2",".","H1","H1"],[".",".",".","B4"],["B1",".","B3","."],[".",".",".","C"]] Current Pieces: - Car "C": Position [4,4] - 1x1 Blockers (B1, B2, etc.): Single-cell obstacles that can be moved to clear a path - B2 at [1,1] - B4 at [2,4] - B1 at [3,1] - B3 at [3,3] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - H1 (horizontal) at [1,3], [1,4] - TARGET: Position [2,4] Movement Rules: - Any piece (car "C", 1x1 blockers "B1, B2, etc.", or 2x1 blockers "H1, H2, etc.") can move UP, DOWN, LEFT, or RIGHT - Each move is exactly ONE square in any direction for the entire piece - For 2x1 blockers: The entire piece moves together as a unit (both cells move simultaneously) - Pieces strictly CANNOT move outside the 4x4 grid - Pieces strictly CANNOT move into occupied squares (i.e. squares that already have another piece) - At ANY instant, there CANNOT be two pieces occupying the same square - The same piece can move multiple times in a row if needed - You win when car "C" reaches the TARGET cell Coordinate System: - Use [row,col] format where [1,1] is top-left, [4,4] is bottom-right - Each cell shows its coordinates in black text: (row,col) - For 2x1 blockers, both occupied cells are shown in the piece description Expected Output Format: Wrap your solution in <solution> tags and provide it as a numbered list of moves in this exact format: <solution> Step 1: [PIECE] [start_position] -> [end_position] Step 2: [PIECE] [start_position] -> [end_position] ... </solution> For 1x1 pieces (car "C" and blockers "B1", "B2", etc.): - Use single coordinate: C [2,1] -> [2,2] For 2x1 pieces (blockers "H1", "H2", etc.): - List both coordinates: H1 [[1,1],[1,2]] -> [[2,1],[2,2]] Example response format: <solution> Step 1: B2 [3,2] -> [4,2] Step 2: H1 [(2,3), (3,3)] -> [(1,3), (2,3)] Step 3: B2 [2,4] -> [1,4] Step 4: C [3,1] -> [3,2] Step 5: C [3,2] -> [3,3] Step 6: C [3,3] -> [3,4] Step 7: C [3,4] -> [2,4] </solution>
<solution> Step 1: C [4,4] -> [3,4] Step 2: B4 [2,4] -> [2,3] Step 3: C [3,4] -> [2,4] </solution>
3
medium
puzzle54
Task: Solve this 4x4 Rush Hour puzzle - move car "C" from position [2,1] to the TARGET at position [2,4] given the position of the blockers below. Current Grid State (JSON format): [[".",".",".","."],["C",".",".","."],["B4","B2",".","H1"],[".","B1","B3","H1"]] Current Pieces: - Car "C": Position [2,1] - 1x1 Blockers (B1, B2, etc.): Single-cell obstacles that can be moved to clear a path - B4 at [3,1] - B2 at [3,2] - B1 at [4,2] - B3 at [4,3] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - H1 (vertical) at [3,4], [4,4] - TARGET: Position [2,4] Movement Rules: - Any piece (car "C", 1x1 blockers "B1, B2, etc.", or 2x1 blockers "H1, H2, etc.") can move UP, DOWN, LEFT, or RIGHT - Each move is exactly ONE square in any direction for the entire piece - For 2x1 blockers: The entire piece moves together as a unit (both cells move simultaneously) - Pieces strictly CANNOT move outside the 4x4 grid - Pieces strictly CANNOT move into occupied squares (i.e. squares that already have another piece) - At ANY instant, there CANNOT be two pieces occupying the same square - The same piece can move multiple times in a row if needed - You win when car "C" reaches the TARGET cell Coordinate System: - Use [row,col] format where [1,1] is top-left, [4,4] is bottom-right - Each cell shows its coordinates in black text: (row,col) - For 2x1 blockers, both occupied cells are shown in the piece description Expected Output Format: Wrap your solution in <solution> tags and provide it as a numbered list of moves in this exact format: <solution> Step 1: [PIECE] [start_position] -> [end_position] Step 2: [PIECE] [start_position] -> [end_position] ... </solution> For 1x1 pieces (car "C" and blockers "B1", "B2", etc.): - Use single coordinate: C [2,1] -> [2,2] For 2x1 pieces (blockers "H1", "H2", etc.): - List both coordinates: H1 [[1,1],[1,2]] -> [[2,1],[2,2]] Example response format: <solution> Step 1: B2 [3,2] -> [4,2] Step 2: H1 [(2,3), (3,3)] -> [(1,3), (2,3)] Step 3: B2 [2,4] -> [1,4] Step 4: C [3,1] -> [3,2] Step 5: C [3,2] -> [3,3] Step 6: C [3,3] -> [3,4] Step 7: C [3,4] -> [2,4] </solution>
<solution> Step 1: C [2,1] -> [2,2] Step 2: C [2,2] -> [2,3] Step 3: C [2,3] -> [2,4] </solution>
3
medium
puzzle55
Task: Solve this 4x4 Rush Hour puzzle - move car "C" from position [1,4] to the TARGET at position [2,4] given the position of the blockers below. Current Grid State (JSON format): [["B2","B3",".","C"],[".",".","B1","."],[".",".",".","."],["H1","H1","H2","H2"]] Current Pieces: - Car "C": Position [1,4] - 1x1 Blockers (B1, B2, etc.): Single-cell obstacles that can be moved to clear a path - B2 at [1,1] - B3 at [1,2] - B1 at [2,3] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - H1 (horizontal) at [4,1], [4,2] - H2 (horizontal) at [4,3], [4,4] - TARGET: Position [2,4] Movement Rules: - Any piece (car "C", 1x1 blockers "B1, B2, etc.", or 2x1 blockers "H1, H2, etc.") can move UP, DOWN, LEFT, or RIGHT - Each move is exactly ONE square in any direction for the entire piece - For 2x1 blockers: The entire piece moves together as a unit (both cells move simultaneously) - Pieces strictly CANNOT move outside the 4x4 grid - Pieces strictly CANNOT move into occupied squares (i.e. squares that already have another piece) - At ANY instant, there CANNOT be two pieces occupying the same square - The same piece can move multiple times in a row if needed - You win when car "C" reaches the TARGET cell Coordinate System: - Use [row,col] format where [1,1] is top-left, [4,4] is bottom-right - Each cell shows its coordinates in black text: (row,col) - For 2x1 blockers, both occupied cells are shown in the piece description Expected Output Format: Wrap your solution in <solution> tags and provide it as a numbered list of moves in this exact format: <solution> Step 1: [PIECE] [start_position] -> [end_position] Step 2: [PIECE] [start_position] -> [end_position] ... </solution> For 1x1 pieces (car "C" and blockers "B1", "B2", etc.): - Use single coordinate: C [2,1] -> [2,2] For 2x1 pieces (blockers "H1", "H2", etc.): - List both coordinates: H1 [[1,1],[1,2]] -> [[2,1],[2,2]] Example response format: <solution> Step 1: B2 [3,2] -> [4,2] Step 2: H1 [(2,3), (3,3)] -> [(1,3), (2,3)] Step 3: B2 [2,4] -> [1,4] Step 4: C [3,1] -> [3,2] Step 5: C [3,2] -> [3,3] Step 6: C [3,3] -> [3,4] Step 7: C [3,4] -> [2,4] </solution>
<solution> Step 1: C [1,4] -> [2,4] </solution>
1
medium
puzzle56
Task: Solve this 4x4 Rush Hour puzzle - move car "C" from position [3,2] to the TARGET at position [2,4] given the position of the blockers below. Current Grid State (JSON format): [["H1","H1",".","B2"],["B4","B3",".","."],[".","C",".","B1"],[".",".",".","."]] Current Pieces: - Car "C": Position [3,2] - 1x1 Blockers (B1, B2, etc.): Single-cell obstacles that can be moved to clear a path - B2 at [1,4] - B4 at [2,1] - B3 at [2,2] - B1 at [3,4] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - H1 (horizontal) at [1,1], [1,2] - TARGET: Position [2,4] Movement Rules: - Any piece (car "C", 1x1 blockers "B1, B2, etc.", or 2x1 blockers "H1, H2, etc.") can move UP, DOWN, LEFT, or RIGHT - Each move is exactly ONE square in any direction for the entire piece - For 2x1 blockers: The entire piece moves together as a unit (both cells move simultaneously) - Pieces strictly CANNOT move outside the 4x4 grid - Pieces strictly CANNOT move into occupied squares (i.e. squares that already have another piece) - At ANY instant, there CANNOT be two pieces occupying the same square - The same piece can move multiple times in a row if needed - You win when car "C" reaches the TARGET cell Coordinate System: - Use [row,col] format where [1,1] is top-left, [4,4] is bottom-right - Each cell shows its coordinates in black text: (row,col) - For 2x1 blockers, both occupied cells are shown in the piece description Expected Output Format: Wrap your solution in <solution> tags and provide it as a numbered list of moves in this exact format: <solution> Step 1: [PIECE] [start_position] -> [end_position] Step 2: [PIECE] [start_position] -> [end_position] ... </solution> For 1x1 pieces (car "C" and blockers "B1", "B2", etc.): - Use single coordinate: C [2,1] -> [2,2] For 2x1 pieces (blockers "H1", "H2", etc.): - List both coordinates: H1 [[1,1],[1,2]] -> [[2,1],[2,2]] Example response format: <solution> Step 1: B2 [3,2] -> [4,2] Step 2: H1 [(2,3), (3,3)] -> [(1,3), (2,3)] Step 3: B2 [2,4] -> [1,4] Step 4: C [3,1] -> [3,2] Step 5: C [3,2] -> [3,3] Step 6: C [3,3] -> [3,4] Step 7: C [3,4] -> [2,4] </solution>
<solution> Step 1: C [3,2] -> [3,3] Step 2: C [3,3] -> [2,3] Step 3: C [2,3] -> [2,4] </solution>
3
medium
puzzle57
Task: Solve this 4x4 Rush Hour puzzle - move car "C" from position [3,4] to the TARGET at position [2,4] given the position of the blockers below. Current Grid State (JSON format): [[".",".",".","B1"],[".",".",".","."],["H1","H1",".","C"],["H2","H2",".","B2"]] Current Pieces: - Car "C": Position [3,4] - 1x1 Blockers (B1, B2, etc.): Single-cell obstacles that can be moved to clear a path - B1 at [1,4] - B2 at [4,4] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - H1 (horizontal) at [3,1], [3,2] - H2 (horizontal) at [4,1], [4,2] - TARGET: Position [2,4] Movement Rules: - Any piece (car "C", 1x1 blockers "B1, B2, etc.", or 2x1 blockers "H1, H2, etc.") can move UP, DOWN, LEFT, or RIGHT - Each move is exactly ONE square in any direction for the entire piece - For 2x1 blockers: The entire piece moves together as a unit (both cells move simultaneously) - Pieces strictly CANNOT move outside the 4x4 grid - Pieces strictly CANNOT move into occupied squares (i.e. squares that already have another piece) - At ANY instant, there CANNOT be two pieces occupying the same square - The same piece can move multiple times in a row if needed - You win when car "C" reaches the TARGET cell Coordinate System: - Use [row,col] format where [1,1] is top-left, [4,4] is bottom-right - Each cell shows its coordinates in black text: (row,col) - For 2x1 blockers, both occupied cells are shown in the piece description Expected Output Format: Wrap your solution in <solution> tags and provide it as a numbered list of moves in this exact format: <solution> Step 1: [PIECE] [start_position] -> [end_position] Step 2: [PIECE] [start_position] -> [end_position] ... </solution> For 1x1 pieces (car "C" and blockers "B1", "B2", etc.): - Use single coordinate: C [2,1] -> [2,2] For 2x1 pieces (blockers "H1", "H2", etc.): - List both coordinates: H1 [[1,1],[1,2]] -> [[2,1],[2,2]] Example response format: <solution> Step 1: B2 [3,2] -> [4,2] Step 2: H1 [(2,3), (3,3)] -> [(1,3), (2,3)] Step 3: B2 [2,4] -> [1,4] Step 4: C [3,1] -> [3,2] Step 5: C [3,2] -> [3,3] Step 6: C [3,3] -> [3,4] Step 7: C [3,4] -> [2,4] </solution>
<solution> Step 1: C [3,4] -> [2,4] </solution>
1
medium
puzzle58
Task: Solve this 4x4 Rush Hour puzzle - move car "C" from position [3,3] to the TARGET at position [2,4] given the position of the blockers below. Current Grid State (JSON format): [[".",".",".","B2"],[".","B1",".","."],["H1","H1","C","."],[".","H2","H2","."]] Current Pieces: - Car "C": Position [3,3] - 1x1 Blockers (B1, B2, etc.): Single-cell obstacles that can be moved to clear a path - B2 at [1,4] - B1 at [2,2] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - H1 (horizontal) at [3,1], [3,2] - H2 (horizontal) at [4,2], [4,3] - TARGET: Position [2,4] Movement Rules: - Any piece (car "C", 1x1 blockers "B1, B2, etc.", or 2x1 blockers "H1, H2, etc.") can move UP, DOWN, LEFT, or RIGHT - Each move is exactly ONE square in any direction for the entire piece - For 2x1 blockers: The entire piece moves together as a unit (both cells move simultaneously) - Pieces strictly CANNOT move outside the 4x4 grid - Pieces strictly CANNOT move into occupied squares (i.e. squares that already have another piece) - At ANY instant, there CANNOT be two pieces occupying the same square - The same piece can move multiple times in a row if needed - You win when car "C" reaches the TARGET cell Coordinate System: - Use [row,col] format where [1,1] is top-left, [4,4] is bottom-right - Each cell shows its coordinates in black text: (row,col) - For 2x1 blockers, both occupied cells are shown in the piece description Expected Output Format: Wrap your solution in <solution> tags and provide it as a numbered list of moves in this exact format: <solution> Step 1: [PIECE] [start_position] -> [end_position] Step 2: [PIECE] [start_position] -> [end_position] ... </solution> For 1x1 pieces (car "C" and blockers "B1", "B2", etc.): - Use single coordinate: C [2,1] -> [2,2] For 2x1 pieces (blockers "H1", "H2", etc.): - List both coordinates: H1 [[1,1],[1,2]] -> [[2,1],[2,2]] Example response format: <solution> Step 1: B2 [3,2] -> [4,2] Step 2: H1 [(2,3), (3,3)] -> [(1,3), (2,3)] Step 3: B2 [2,4] -> [1,4] Step 4: C [3,1] -> [3,2] Step 5: C [3,2] -> [3,3] Step 6: C [3,3] -> [3,4] Step 7: C [3,4] -> [2,4] </solution>
<solution> Step 1: C [3,3] -> [2,3] Step 2: C [2,3] -> [2,4] </solution>
2
medium
puzzle59
Task: Solve this 4x4 Rush Hour puzzle - move car "C" from position [2,3] to the TARGET at position [2,4] given the position of the blockers below. Current Grid State (JSON format): [[".",".",".","."],[".","B1","C","H2"],[".",".",".","H2"],[".","H1","H1","."]] Current Pieces: - Car "C": Position [2,3] - 1x1 Blockers (B1, B2, etc.): Single-cell obstacles that can be moved to clear a path - B1 at [2,2] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - H2 (vertical) at [2,4], [3,4] - H1 (horizontal) at [4,2], [4,3] - TARGET: Position [2,4] Movement Rules: - Any piece (car "C", 1x1 blockers "B1, B2, etc.", or 2x1 blockers "H1, H2, etc.") can move UP, DOWN, LEFT, or RIGHT - Each move is exactly ONE square in any direction for the entire piece - For 2x1 blockers: The entire piece moves together as a unit (both cells move simultaneously) - Pieces strictly CANNOT move outside the 4x4 grid - Pieces strictly CANNOT move into occupied squares (i.e. squares that already have another piece) - At ANY instant, there CANNOT be two pieces occupying the same square - The same piece can move multiple times in a row if needed - You win when car "C" reaches the TARGET cell Coordinate System: - Use [row,col] format where [1,1] is top-left, [4,4] is bottom-right - Each cell shows its coordinates in black text: (row,col) - For 2x1 blockers, both occupied cells are shown in the piece description Expected Output Format: Wrap your solution in <solution> tags and provide it as a numbered list of moves in this exact format: <solution> Step 1: [PIECE] [start_position] -> [end_position] Step 2: [PIECE] [start_position] -> [end_position] ... </solution> For 1x1 pieces (car "C" and blockers "B1", "B2", etc.): - Use single coordinate: C [2,1] -> [2,2] For 2x1 pieces (blockers "H1", "H2", etc.): - List both coordinates: H1 [[1,1],[1,2]] -> [[2,1],[2,2]] Example response format: <solution> Step 1: B2 [3,2] -> [4,2] Step 2: H1 [(2,3), (3,3)] -> [(1,3), (2,3)] Step 3: B2 [2,4] -> [1,4] Step 4: C [3,1] -> [3,2] Step 5: C [3,2] -> [3,3] Step 6: C [3,3] -> [3,4] Step 7: C [3,4] -> [2,4] </solution>
<solution> Step 1: H2 [(2, 4), (3, 4)] -> [(3, 4), (4, 4)] Step 2: C [2,3] -> [2,4] </solution>
2
medium
puzzle60
Task: Solve this 4x4 Rush Hour puzzle - move car "C" from position [1,1] to the TARGET at position [2,4] given the position of the blockers below. Current Grid State (JSON format): [["C","H2","H2","."],[".",".","B2","."],[".","H1",".","."],["B1","H1",".","."]] Current Pieces: - Car "C": Position [1,1] - 1x1 Blockers (B1, B2, etc.): Single-cell obstacles that can be moved to clear a path - B2 at [2,3] - B1 at [4,1] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - H2 (horizontal) at [1,2], [1,3] - H1 (vertical) at [3,2], [4,2] - TARGET: Position [2,4] Movement Rules: - Any piece (car "C", 1x1 blockers "B1, B2, etc.", or 2x1 blockers "H1, H2, etc.") can move UP, DOWN, LEFT, or RIGHT - Each move is exactly ONE square in any direction for the entire piece - For 2x1 blockers: The entire piece moves together as a unit (both cells move simultaneously) - Pieces strictly CANNOT move outside the 4x4 grid - Pieces strictly CANNOT move into occupied squares (i.e. squares that already have another piece) - At ANY instant, there CANNOT be two pieces occupying the same square - The same piece can move multiple times in a row if needed - You win when car "C" reaches the TARGET cell Coordinate System: - Use [row,col] format where [1,1] is top-left, [4,4] is bottom-right - Each cell shows its coordinates in black text: (row,col) - For 2x1 blockers, both occupied cells are shown in the piece description Expected Output Format: Wrap your solution in <solution> tags and provide it as a numbered list of moves in this exact format: <solution> Step 1: [PIECE] [start_position] -> [end_position] Step 2: [PIECE] [start_position] -> [end_position] ... </solution> For 1x1 pieces (car "C" and blockers "B1", "B2", etc.): - Use single coordinate: C [2,1] -> [2,2] For 2x1 pieces (blockers "H1", "H2", etc.): - List both coordinates: H1 [[1,1],[1,2]] -> [[2,1],[2,2]] Example response format: <solution> Step 1: B2 [3,2] -> [4,2] Step 2: H1 [(2,3), (3,3)] -> [(1,3), (2,3)] Step 3: B2 [2,4] -> [1,4] Step 4: C [3,1] -> [3,2] Step 5: C [3,2] -> [3,3] Step 6: C [3,3] -> [3,4] Step 7: C [3,4] -> [2,4] </solution>
<solution> Step 1: B2 [2,3] -> [3,3] Step 2: C [1,1] -> [2,1] Step 3: C [2,1] -> [2,2] Step 4: C [2,2] -> [2,3] Step 5: C [2,3] -> [2,4] </solution>
5
medium
puzzle61
Task: Solve this 4x4 Rush Hour puzzle - move car "C" from position [1,3] to the TARGET at position [2,4] given the position of the blockers below. Current Grid State (JSON format): [[".","H1","C","."],[".","H1","H2","H2"],[".","B1",".","."],[".",".",".","."]] Current Pieces: - Car "C": Position [1,3] - 1x1 Blockers (B1, B2, etc.): Single-cell obstacles that can be moved to clear a path - B1 at [3,2] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - H1 (vertical) at [1,2], [2,2] - H2 (horizontal) at [2,3], [2,4] - TARGET: Position [2,4] Movement Rules: - Any piece (car "C", 1x1 blockers "B1, B2, etc.", or 2x1 blockers "H1, H2, etc.") can move UP, DOWN, LEFT, or RIGHT - Each move is exactly ONE square in any direction for the entire piece - For 2x1 blockers: The entire piece moves together as a unit (both cells move simultaneously) - Pieces strictly CANNOT move outside the 4x4 grid - Pieces strictly CANNOT move into occupied squares (i.e. squares that already have another piece) - At ANY instant, there CANNOT be two pieces occupying the same square - The same piece can move multiple times in a row if needed - You win when car "C" reaches the TARGET cell Coordinate System: - Use [row,col] format where [1,1] is top-left, [4,4] is bottom-right - Each cell shows its coordinates in black text: (row,col) - For 2x1 blockers, both occupied cells are shown in the piece description Expected Output Format: Wrap your solution in <solution> tags and provide it as a numbered list of moves in this exact format: <solution> Step 1: [PIECE] [start_position] -> [end_position] Step 2: [PIECE] [start_position] -> [end_position] ... </solution> For 1x1 pieces (car "C" and blockers "B1", "B2", etc.): - Use single coordinate: C [2,1] -> [2,2] For 2x1 pieces (blockers "H1", "H2", etc.): - List both coordinates: H1 [[1,1],[1,2]] -> [[2,1],[2,2]] Example response format: <solution> Step 1: B2 [3,2] -> [4,2] Step 2: H1 [(2,3), (3,3)] -> [(1,3), (2,3)] Step 3: B2 [2,4] -> [1,4] Step 4: C [3,1] -> [3,2] Step 5: C [3,2] -> [3,3] Step 6: C [3,3] -> [3,4] Step 7: C [3,4] -> [2,4] </solution>
<solution> Step 1: C [1,3] -> [1,4] Step 2: H2 [(2, 3), (2, 4)] -> [(3, 3), (3, 4)] Step 3: C [1,4] -> [2,4] </solution>
3
medium
puzzle62
Task: Solve this 4x4 Rush Hour puzzle - move car "C" from position [3,1] to the TARGET at position [2,4] given the position of the blockers below. Current Grid State (JSON format): [[".","B1",".","B2"],[".",".","B3","."],["C","H1","H2","."],[".","H1","H2","."]] Current Pieces: - Car "C": Position [3,1] - 1x1 Blockers (B1, B2, etc.): Single-cell obstacles that can be moved to clear a path - B1 at [1,2] - B2 at [1,4] - B3 at [2,3] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - H1 (vertical) at [3,2], [4,2] - H2 (vertical) at [3,3], [4,3] - TARGET: Position [2,4] Movement Rules: - Any piece (car "C", 1x1 blockers "B1, B2, etc.", or 2x1 blockers "H1, H2, etc.") can move UP, DOWN, LEFT, or RIGHT - Each move is exactly ONE square in any direction for the entire piece - For 2x1 blockers: The entire piece moves together as a unit (both cells move simultaneously) - Pieces strictly CANNOT move outside the 4x4 grid - Pieces strictly CANNOT move into occupied squares (i.e. squares that already have another piece) - At ANY instant, there CANNOT be two pieces occupying the same square - The same piece can move multiple times in a row if needed - You win when car "C" reaches the TARGET cell Coordinate System: - Use [row,col] format where [1,1] is top-left, [4,4] is bottom-right - Each cell shows its coordinates in black text: (row,col) - For 2x1 blockers, both occupied cells are shown in the piece description Expected Output Format: Wrap your solution in <solution> tags and provide it as a numbered list of moves in this exact format: <solution> Step 1: [PIECE] [start_position] -> [end_position] Step 2: [PIECE] [start_position] -> [end_position] ... </solution> For 1x1 pieces (car "C" and blockers "B1", "B2", etc.): - Use single coordinate: C [2,1] -> [2,2] For 2x1 pieces (blockers "H1", "H2", etc.): - List both coordinates: H1 [[1,1],[1,2]] -> [[2,1],[2,2]] Example response format: <solution> Step 1: B2 [3,2] -> [4,2] Step 2: H1 [(2,3), (3,3)] -> [(1,3), (2,3)] Step 3: B2 [2,4] -> [1,4] Step 4: C [3,1] -> [3,2] Step 5: C [3,2] -> [3,3] Step 6: C [3,3] -> [3,4] Step 7: C [3,4] -> [2,4] </solution>
<solution> Step 1: B3 [2,3] -> [1,3] Step 2: C [3,1] -> [2,1] Step 3: C [2,1] -> [2,2] Step 4: C [2,2] -> [2,3] Step 5: C [2,3] -> [2,4] </solution>
5
medium
puzzle63
Task: Solve this 4x4 Rush Hour puzzle - move car "C" from position [4,4] to the TARGET at position [2,4] given the position of the blockers below. Current Grid State (JSON format): [[".",".",".","B1"],[".","H1","H1","."],["B2","H2",".","."],[".","H2",".","C"]] Current Pieces: - Car "C": Position [4,4] - 1x1 Blockers (B1, B2, etc.): Single-cell obstacles that can be moved to clear a path - B1 at [1,4] - B2 at [3,1] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - H1 (horizontal) at [2,2], [2,3] - H2 (vertical) at [3,2], [4,2] - TARGET: Position [2,4] Movement Rules: - Any piece (car "C", 1x1 blockers "B1, B2, etc.", or 2x1 blockers "H1, H2, etc.") can move UP, DOWN, LEFT, or RIGHT - Each move is exactly ONE square in any direction for the entire piece - For 2x1 blockers: The entire piece moves together as a unit (both cells move simultaneously) - Pieces strictly CANNOT move outside the 4x4 grid - Pieces strictly CANNOT move into occupied squares (i.e. squares that already have another piece) - At ANY instant, there CANNOT be two pieces occupying the same square - The same piece can move multiple times in a row if needed - You win when car "C" reaches the TARGET cell Coordinate System: - Use [row,col] format where [1,1] is top-left, [4,4] is bottom-right - Each cell shows its coordinates in black text: (row,col) - For 2x1 blockers, both occupied cells are shown in the piece description Expected Output Format: Wrap your solution in <solution> tags and provide it as a numbered list of moves in this exact format: <solution> Step 1: [PIECE] [start_position] -> [end_position] Step 2: [PIECE] [start_position] -> [end_position] ... </solution> For 1x1 pieces (car "C" and blockers "B1", "B2", etc.): - Use single coordinate: C [2,1] -> [2,2] For 2x1 pieces (blockers "H1", "H2", etc.): - List both coordinates: H1 [[1,1],[1,2]] -> [[2,1],[2,2]] Example response format: <solution> Step 1: B2 [3,2] -> [4,2] Step 2: H1 [(2,3), (3,3)] -> [(1,3), (2,3)] Step 3: B2 [2,4] -> [1,4] Step 4: C [3,1] -> [3,2] Step 5: C [3,2] -> [3,3] Step 6: C [3,3] -> [3,4] Step 7: C [3,4] -> [2,4] </solution>
<solution> Step 1: C [4,4] -> [3,4] Step 2: C [3,4] -> [2,4] </solution>
2
medium
puzzle64
Task: Solve this 4x4 Rush Hour puzzle - move car "C" from position [3,4] to the TARGET at position [2,4] given the position of the blockers below. Current Grid State (JSON format): [[".","H2","H2","."],[".",".","B3","."],["H1","B2",".","C"],["H1",".",".","B1"]] Current Pieces: - Car "C": Position [3,4] - 1x1 Blockers (B1, B2, etc.): Single-cell obstacles that can be moved to clear a path - B3 at [2,3] - B2 at [3,2] - B1 at [4,4] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - H2 (horizontal) at [1,2], [1,3] - H1 (vertical) at [3,1], [4,1] - TARGET: Position [2,4] Movement Rules: - Any piece (car "C", 1x1 blockers "B1, B2, etc.", or 2x1 blockers "H1, H2, etc.") can move UP, DOWN, LEFT, or RIGHT - Each move is exactly ONE square in any direction for the entire piece - For 2x1 blockers: The entire piece moves together as a unit (both cells move simultaneously) - Pieces strictly CANNOT move outside the 4x4 grid - Pieces strictly CANNOT move into occupied squares (i.e. squares that already have another piece) - At ANY instant, there CANNOT be two pieces occupying the same square - The same piece can move multiple times in a row if needed - You win when car "C" reaches the TARGET cell Coordinate System: - Use [row,col] format where [1,1] is top-left, [4,4] is bottom-right - Each cell shows its coordinates in black text: (row,col) - For 2x1 blockers, both occupied cells are shown in the piece description Expected Output Format: Wrap your solution in <solution> tags and provide it as a numbered list of moves in this exact format: <solution> Step 1: [PIECE] [start_position] -> [end_position] Step 2: [PIECE] [start_position] -> [end_position] ... </solution> For 1x1 pieces (car "C" and blockers "B1", "B2", etc.): - Use single coordinate: C [2,1] -> [2,2] For 2x1 pieces (blockers "H1", "H2", etc.): - List both coordinates: H1 [[1,1],[1,2]] -> [[2,1],[2,2]] Example response format: <solution> Step 1: B2 [3,2] -> [4,2] Step 2: H1 [(2,3), (3,3)] -> [(1,3), (2,3)] Step 3: B2 [2,4] -> [1,4] Step 4: C [3,1] -> [3,2] Step 5: C [3,2] -> [3,3] Step 6: C [3,3] -> [3,4] Step 7: C [3,4] -> [2,4] </solution>
<solution> Step 1: C [3,4] -> [2,4] </solution>
1
medium
puzzle65
Task: Solve this 4x4 Rush Hour puzzle - move car "C" from position [1,1] to the TARGET at position [2,4] given the position of the blockers below. Current Grid State (JSON format): [["C",".","H1","."],[".",".","H1","."],["H2",".","B1","."],["H2",".","B2","."]] Current Pieces: - Car "C": Position [1,1] - 1x1 Blockers (B1, B2, etc.): Single-cell obstacles that can be moved to clear a path - B1 at [3,3] - B2 at [4,3] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - H1 (vertical) at [1,3], [2,3] - H2 (vertical) at [3,1], [4,1] - TARGET: Position [2,4] Movement Rules: - Any piece (car "C", 1x1 blockers "B1, B2, etc.", or 2x1 blockers "H1, H2, etc.") can move UP, DOWN, LEFT, or RIGHT - Each move is exactly ONE square in any direction for the entire piece - For 2x1 blockers: The entire piece moves together as a unit (both cells move simultaneously) - Pieces strictly CANNOT move outside the 4x4 grid - Pieces strictly CANNOT move into occupied squares (i.e. squares that already have another piece) - At ANY instant, there CANNOT be two pieces occupying the same square - The same piece can move multiple times in a row if needed - You win when car "C" reaches the TARGET cell Coordinate System: - Use [row,col] format where [1,1] is top-left, [4,4] is bottom-right - Each cell shows its coordinates in black text: (row,col) - For 2x1 blockers, both occupied cells are shown in the piece description Expected Output Format: Wrap your solution in <solution> tags and provide it as a numbered list of moves in this exact format: <solution> Step 1: [PIECE] [start_position] -> [end_position] Step 2: [PIECE] [start_position] -> [end_position] ... </solution> For 1x1 pieces (car "C" and blockers "B1", "B2", etc.): - Use single coordinate: C [2,1] -> [2,2] For 2x1 pieces (blockers "H1", "H2", etc.): - List both coordinates: H1 [[1,1],[1,2]] -> [[2,1],[2,2]] Example response format: <solution> Step 1: B2 [3,2] -> [4,2] Step 2: H1 [(2,3), (3,3)] -> [(1,3), (2,3)] Step 3: B2 [2,4] -> [1,4] Step 4: C [3,1] -> [3,2] Step 5: C [3,2] -> [3,3] Step 6: C [3,3] -> [3,4] Step 7: C [3,4] -> [2,4] </solution>
<solution> Step 1: B1 [3,3] -> [3,2] Step 2: C [1,1] -> [1,2] Step 3: H1 [(1, 3), (2, 3)] -> [(2, 3), (3, 3)] Step 4: C [1,2] -> [1,3] Step 5: C [1,3] -> [1,4] Step 6: C [1,4] -> [2,4] </solution>
6
medium
puzzle66
Task: Solve this 4x4 Rush Hour puzzle - move car "C" from position [1,2] to the TARGET at position [2,4] given the position of the blockers below. Current Grid State (JSON format): [["B1","C",".","."],[".",".",".","B2"],[".",".","H2","H2"],[".",".","H1","H1"]] Current Pieces: - Car "C": Position [1,2] - 1x1 Blockers (B1, B2, etc.): Single-cell obstacles that can be moved to clear a path - B1 at [1,1] - B2 at [2,4] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - H2 (horizontal) at [3,3], [3,4] - H1 (horizontal) at [4,3], [4,4] - TARGET: Position [2,4] Movement Rules: - Any piece (car "C", 1x1 blockers "B1, B2, etc.", or 2x1 blockers "H1, H2, etc.") can move UP, DOWN, LEFT, or RIGHT - Each move is exactly ONE square in any direction for the entire piece - For 2x1 blockers: The entire piece moves together as a unit (both cells move simultaneously) - Pieces strictly CANNOT move outside the 4x4 grid - Pieces strictly CANNOT move into occupied squares (i.e. squares that already have another piece) - At ANY instant, there CANNOT be two pieces occupying the same square - The same piece can move multiple times in a row if needed - You win when car "C" reaches the TARGET cell Coordinate System: - Use [row,col] format where [1,1] is top-left, [4,4] is bottom-right - Each cell shows its coordinates in black text: (row,col) - For 2x1 blockers, both occupied cells are shown in the piece description Expected Output Format: Wrap your solution in <solution> tags and provide it as a numbered list of moves in this exact format: <solution> Step 1: [PIECE] [start_position] -> [end_position] Step 2: [PIECE] [start_position] -> [end_position] ... </solution> For 1x1 pieces (car "C" and blockers "B1", "B2", etc.): - Use single coordinate: C [2,1] -> [2,2] For 2x1 pieces (blockers "H1", "H2", etc.): - List both coordinates: H1 [[1,1],[1,2]] -> [[2,1],[2,2]] Example response format: <solution> Step 1: B2 [3,2] -> [4,2] Step 2: H1 [(2,3), (3,3)] -> [(1,3), (2,3)] Step 3: B2 [2,4] -> [1,4] Step 4: C [3,1] -> [3,2] Step 5: C [3,2] -> [3,3] Step 6: C [3,3] -> [3,4] Step 7: C [3,4] -> [2,4] </solution>
<solution> Step 1: B2 [2,4] -> [1,4] Step 2: C [1,2] -> [2,2] Step 3: C [2,2] -> [2,3] Step 4: C [2,3] -> [2,4] </solution>
4
medium
puzzle67
Task: Solve this 4x4 Rush Hour puzzle - move car "C" from position [2,3] to the TARGET at position [2,4] given the position of the blockers below. Current Grid State (JSON format): [["H1","H1","B1","."],[".","H2","C","."],["B3","H2",".","B2"],[".",".",".","."]] Current Pieces: - Car "C": Position [2,3] - 1x1 Blockers (B1, B2, etc.): Single-cell obstacles that can be moved to clear a path - B1 at [1,3] - B3 at [3,1] - B2 at [3,4] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - H1 (horizontal) at [1,1], [1,2] - H2 (vertical) at [2,2], [3,2] - TARGET: Position [2,4] Movement Rules: - Any piece (car "C", 1x1 blockers "B1, B2, etc.", or 2x1 blockers "H1, H2, etc.") can move UP, DOWN, LEFT, or RIGHT - Each move is exactly ONE square in any direction for the entire piece - For 2x1 blockers: The entire piece moves together as a unit (both cells move simultaneously) - Pieces strictly CANNOT move outside the 4x4 grid - Pieces strictly CANNOT move into occupied squares (i.e. squares that already have another piece) - At ANY instant, there CANNOT be two pieces occupying the same square - The same piece can move multiple times in a row if needed - You win when car "C" reaches the TARGET cell Coordinate System: - Use [row,col] format where [1,1] is top-left, [4,4] is bottom-right - Each cell shows its coordinates in black text: (row,col) - For 2x1 blockers, both occupied cells are shown in the piece description Expected Output Format: Wrap your solution in <solution> tags and provide it as a numbered list of moves in this exact format: <solution> Step 1: [PIECE] [start_position] -> [end_position] Step 2: [PIECE] [start_position] -> [end_position] ... </solution> For 1x1 pieces (car "C" and blockers "B1", "B2", etc.): - Use single coordinate: C [2,1] -> [2,2] For 2x1 pieces (blockers "H1", "H2", etc.): - List both coordinates: H1 [[1,1],[1,2]] -> [[2,1],[2,2]] Example response format: <solution> Step 1: B2 [3,2] -> [4,2] Step 2: H1 [(2,3), (3,3)] -> [(1,3), (2,3)] Step 3: B2 [2,4] -> [1,4] Step 4: C [3,1] -> [3,2] Step 5: C [3,2] -> [3,3] Step 6: C [3,3] -> [3,4] Step 7: C [3,4] -> [2,4] </solution>
<solution> Step 1: C [2,3] -> [2,4] </solution>
1
medium
puzzle68
Task: Solve this 4x4 Rush Hour puzzle - move car "C" from position [3,4] to the TARGET at position [2,4] given the position of the blockers below. Current Grid State (JSON format): [[".",".","B1","B3"],["B2",".","H1","H1"],[".","H2",".","C"],[".","H2",".","."]] Current Pieces: - Car "C": Position [3,4] - 1x1 Blockers (B1, B2, etc.): Single-cell obstacles that can be moved to clear a path - B1 at [1,3] - B3 at [1,4] - B2 at [2,1] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - H1 (horizontal) at [2,3], [2,4] - H2 (vertical) at [3,2], [4,2] - TARGET: Position [2,4] Movement Rules: - Any piece (car "C", 1x1 blockers "B1, B2, etc.", or 2x1 blockers "H1, H2, etc.") can move UP, DOWN, LEFT, or RIGHT - Each move is exactly ONE square in any direction for the entire piece - For 2x1 blockers: The entire piece moves together as a unit (both cells move simultaneously) - Pieces strictly CANNOT move outside the 4x4 grid - Pieces strictly CANNOT move into occupied squares (i.e. squares that already have another piece) - At ANY instant, there CANNOT be two pieces occupying the same square - The same piece can move multiple times in a row if needed - You win when car "C" reaches the TARGET cell Coordinate System: - Use [row,col] format where [1,1] is top-left, [4,4] is bottom-right - Each cell shows its coordinates in black text: (row,col) - For 2x1 blockers, both occupied cells are shown in the piece description Expected Output Format: Wrap your solution in <solution> tags and provide it as a numbered list of moves in this exact format: <solution> Step 1: [PIECE] [start_position] -> [end_position] Step 2: [PIECE] [start_position] -> [end_position] ... </solution> For 1x1 pieces (car "C" and blockers "B1", "B2", etc.): - Use single coordinate: C [2,1] -> [2,2] For 2x1 pieces (blockers "H1", "H2", etc.): - List both coordinates: H1 [[1,1],[1,2]] -> [[2,1],[2,2]] Example response format: <solution> Step 1: B2 [3,2] -> [4,2] Step 2: H1 [(2,3), (3,3)] -> [(1,3), (2,3)] Step 3: B2 [2,4] -> [1,4] Step 4: C [3,1] -> [3,2] Step 5: C [3,2] -> [3,3] Step 6: C [3,3] -> [3,4] Step 7: C [3,4] -> [2,4] </solution>
<solution> Step 1: H1 [(2, 3), (2, 4)] -> [(2, 2), (2, 3)] Step 2: C [3,4] -> [2,4] </solution>
2
medium
puzzle69
Task: Solve this 4x4 Rush Hour puzzle - move car "C" from position [4,4] to the TARGET at position [2,4] given the position of the blockers below. Current Grid State (JSON format): [["H1",".",".","."],["H1","B2","H2","."],["B3",".","H2","."],[".",".","B1","C"]] Current Pieces: - Car "C": Position [4,4] - 1x1 Blockers (B1, B2, etc.): Single-cell obstacles that can be moved to clear a path - B2 at [2,2] - B3 at [3,1] - B1 at [4,3] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - H1 (vertical) at [1,1], [2,1] - H2 (vertical) at [2,3], [3,3] - TARGET: Position [2,4] Movement Rules: - Any piece (car "C", 1x1 blockers "B1, B2, etc.", or 2x1 blockers "H1, H2, etc.") can move UP, DOWN, LEFT, or RIGHT - Each move is exactly ONE square in any direction for the entire piece - For 2x1 blockers: The entire piece moves together as a unit (both cells move simultaneously) - Pieces strictly CANNOT move outside the 4x4 grid - Pieces strictly CANNOT move into occupied squares (i.e. squares that already have another piece) - At ANY instant, there CANNOT be two pieces occupying the same square - The same piece can move multiple times in a row if needed - You win when car "C" reaches the TARGET cell Coordinate System: - Use [row,col] format where [1,1] is top-left, [4,4] is bottom-right - Each cell shows its coordinates in black text: (row,col) - For 2x1 blockers, both occupied cells are shown in the piece description Expected Output Format: Wrap your solution in <solution> tags and provide it as a numbered list of moves in this exact format: <solution> Step 1: [PIECE] [start_position] -> [end_position] Step 2: [PIECE] [start_position] -> [end_position] ... </solution> For 1x1 pieces (car "C" and blockers "B1", "B2", etc.): - Use single coordinate: C [2,1] -> [2,2] For 2x1 pieces (blockers "H1", "H2", etc.): - List both coordinates: H1 [[1,1],[1,2]] -> [[2,1],[2,2]] Example response format: <solution> Step 1: B2 [3,2] -> [4,2] Step 2: H1 [(2,3), (3,3)] -> [(1,3), (2,3)] Step 3: B2 [2,4] -> [1,4] Step 4: C [3,1] -> [3,2] Step 5: C [3,2] -> [3,3] Step 6: C [3,3] -> [3,4] Step 7: C [3,4] -> [2,4] </solution>
<solution> Step 1: C [4,4] -> [3,4] Step 2: C [3,4] -> [2,4] </solution>
2
medium
puzzle70
Task: Solve this 4x4 Rush Hour puzzle - move car "C" from position [4,2] to the TARGET at position [2,4] given the position of the blockers below. Current Grid State (JSON format): [[".",".",".","."],["H2","H2","B3","B2"],["H1","H1",".","B1"],[".","C",".","."]] Current Pieces: - Car "C": Position [4,2] - 1x1 Blockers (B1, B2, etc.): Single-cell obstacles that can be moved to clear a path - B3 at [2,3] - B2 at [2,4] - B1 at [3,4] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - H2 (horizontal) at [2,1], [2,2] - H1 (horizontal) at [3,1], [3,2] - TARGET: Position [2,4] Movement Rules: - Any piece (car "C", 1x1 blockers "B1, B2, etc.", or 2x1 blockers "H1, H2, etc.") can move UP, DOWN, LEFT, or RIGHT - Each move is exactly ONE square in any direction for the entire piece - For 2x1 blockers: The entire piece moves together as a unit (both cells move simultaneously) - Pieces strictly CANNOT move outside the 4x4 grid - Pieces strictly CANNOT move into occupied squares (i.e. squares that already have another piece) - At ANY instant, there CANNOT be two pieces occupying the same square - The same piece can move multiple times in a row if needed - You win when car "C" reaches the TARGET cell Coordinate System: - Use [row,col] format where [1,1] is top-left, [4,4] is bottom-right - Each cell shows its coordinates in black text: (row,col) - For 2x1 blockers, both occupied cells are shown in the piece description Expected Output Format: Wrap your solution in <solution> tags and provide it as a numbered list of moves in this exact format: <solution> Step 1: [PIECE] [start_position] -> [end_position] Step 2: [PIECE] [start_position] -> [end_position] ... </solution> For 1x1 pieces (car "C" and blockers "B1", "B2", etc.): - Use single coordinate: C [2,1] -> [2,2] For 2x1 pieces (blockers "H1", "H2", etc.): - List both coordinates: H1 [[1,1],[1,2]] -> [[2,1],[2,2]] Example response format: <solution> Step 1: B2 [3,2] -> [4,2] Step 2: H1 [(2,3), (3,3)] -> [(1,3), (2,3)] Step 3: B2 [2,4] -> [1,4] Step 4: C [3,1] -> [3,2] Step 5: C [3,2] -> [3,3] Step 6: C [3,3] -> [3,4] Step 7: C [3,4] -> [2,4] </solution>
<solution> Step 1: B1 [3,4] -> [4,4] Step 2: B2 [2,4] -> [1,4] Step 3: C [4,2] -> [4,3] Step 4: C [4,3] -> [3,3] Step 5: C [3,3] -> [3,4] Step 6: C [3,4] -> [2,4] </solution>
6
medium
puzzle71
Task: Solve this 4x4 Rush Hour puzzle - move car "C" from position [1,4] to the TARGET at position [2,4] given the position of the blockers below. Current Grid State (JSON format): [[".","B3",".","C"],[".","B2","B1","."],["H2","H2",".","."],[".","H1","H1","."]] Current Pieces: - Car "C": Position [1,4] - 1x1 Blockers (B1, B2, etc.): Single-cell obstacles that can be moved to clear a path - B3 at [1,2] - B2 at [2,2] - B1 at [2,3] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - H2 (horizontal) at [3,1], [3,2] - H1 (horizontal) at [4,2], [4,3] - TARGET: Position [2,4] Movement Rules: - Any piece (car "C", 1x1 blockers "B1, B2, etc.", or 2x1 blockers "H1, H2, etc.") can move UP, DOWN, LEFT, or RIGHT - Each move is exactly ONE square in any direction for the entire piece - For 2x1 blockers: The entire piece moves together as a unit (both cells move simultaneously) - Pieces strictly CANNOT move outside the 4x4 grid - Pieces strictly CANNOT move into occupied squares (i.e. squares that already have another piece) - At ANY instant, there CANNOT be two pieces occupying the same square - The same piece can move multiple times in a row if needed - You win when car "C" reaches the TARGET cell Coordinate System: - Use [row,col] format where [1,1] is top-left, [4,4] is bottom-right - Each cell shows its coordinates in black text: (row,col) - For 2x1 blockers, both occupied cells are shown in the piece description Expected Output Format: Wrap your solution in <solution> tags and provide it as a numbered list of moves in this exact format: <solution> Step 1: [PIECE] [start_position] -> [end_position] Step 2: [PIECE] [start_position] -> [end_position] ... </solution> For 1x1 pieces (car "C" and blockers "B1", "B2", etc.): - Use single coordinate: C [2,1] -> [2,2] For 2x1 pieces (blockers "H1", "H2", etc.): - List both coordinates: H1 [[1,1],[1,2]] -> [[2,1],[2,2]] Example response format: <solution> Step 1: B2 [3,2] -> [4,2] Step 2: H1 [(2,3), (3,3)] -> [(1,3), (2,3)] Step 3: B2 [2,4] -> [1,4] Step 4: C [3,1] -> [3,2] Step 5: C [3,2] -> [3,3] Step 6: C [3,3] -> [3,4] Step 7: C [3,4] -> [2,4] </solution>
<solution> Step 1: C [1,4] -> [2,4] </solution>
1
medium
puzzle72
Task: Solve this 4x4 Rush Hour puzzle - move car "C" from position [2,2] to the TARGET at position [2,4] given the position of the blockers below. Current Grid State (JSON format): [["H2",".","B1","."],["H2","C",".","."],[".",".","H1","."],[".",".","H1","."]] Current Pieces: - Car "C": Position [2,2] - 1x1 Blockers (B1, B2, etc.): Single-cell obstacles that can be moved to clear a path - B1 at [1,3] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - H2 (vertical) at [1,1], [2,1] - H1 (vertical) at [3,3], [4,3] - TARGET: Position [2,4] Movement Rules: - Any piece (car "C", 1x1 blockers "B1, B2, etc.", or 2x1 blockers "H1, H2, etc.") can move UP, DOWN, LEFT, or RIGHT - Each move is exactly ONE square in any direction for the entire piece - For 2x1 blockers: The entire piece moves together as a unit (both cells move simultaneously) - Pieces strictly CANNOT move outside the 4x4 grid - Pieces strictly CANNOT move into occupied squares (i.e. squares that already have another piece) - At ANY instant, there CANNOT be two pieces occupying the same square - The same piece can move multiple times in a row if needed - You win when car "C" reaches the TARGET cell Coordinate System: - Use [row,col] format where [1,1] is top-left, [4,4] is bottom-right - Each cell shows its coordinates in black text: (row,col) - For 2x1 blockers, both occupied cells are shown in the piece description Expected Output Format: Wrap your solution in <solution> tags and provide it as a numbered list of moves in this exact format: <solution> Step 1: [PIECE] [start_position] -> [end_position] Step 2: [PIECE] [start_position] -> [end_position] ... </solution> For 1x1 pieces (car "C" and blockers "B1", "B2", etc.): - Use single coordinate: C [2,1] -> [2,2] For 2x1 pieces (blockers "H1", "H2", etc.): - List both coordinates: H1 [[1,1],[1,2]] -> [[2,1],[2,2]] Example response format: <solution> Step 1: B2 [3,2] -> [4,2] Step 2: H1 [(2,3), (3,3)] -> [(1,3), (2,3)] Step 3: B2 [2,4] -> [1,4] Step 4: C [3,1] -> [3,2] Step 5: C [3,2] -> [3,3] Step 6: C [3,3] -> [3,4] Step 7: C [3,4] -> [2,4] </solution>
<solution> Step 1: C [2,2] -> [2,3] Step 2: C [2,3] -> [2,4] </solution>
2
medium
puzzle73
Task: Solve this 4x4 Rush Hour puzzle - move car "C" from position [1,3] to the TARGET at position [2,4] given the position of the blockers below. Current Grid State (JSON format): [["H1",".","C","."],["H1",".",".","."],[".","B1",".","."],["H2","H2",".","."]] Current Pieces: - Car "C": Position [1,3] - 1x1 Blockers (B1, B2, etc.): Single-cell obstacles that can be moved to clear a path - B1 at [3,2] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - H1 (vertical) at [1,1], [2,1] - H2 (horizontal) at [4,1], [4,2] - TARGET: Position [2,4] Movement Rules: - Any piece (car "C", 1x1 blockers "B1, B2, etc.", or 2x1 blockers "H1, H2, etc.") can move UP, DOWN, LEFT, or RIGHT - Each move is exactly ONE square in any direction for the entire piece - For 2x1 blockers: The entire piece moves together as a unit (both cells move simultaneously) - Pieces strictly CANNOT move outside the 4x4 grid - Pieces strictly CANNOT move into occupied squares (i.e. squares that already have another piece) - At ANY instant, there CANNOT be two pieces occupying the same square - The same piece can move multiple times in a row if needed - You win when car "C" reaches the TARGET cell Coordinate System: - Use [row,col] format where [1,1] is top-left, [4,4] is bottom-right - Each cell shows its coordinates in black text: (row,col) - For 2x1 blockers, both occupied cells are shown in the piece description Expected Output Format: Wrap your solution in <solution> tags and provide it as a numbered list of moves in this exact format: <solution> Step 1: [PIECE] [start_position] -> [end_position] Step 2: [PIECE] [start_position] -> [end_position] ... </solution> For 1x1 pieces (car "C" and blockers "B1", "B2", etc.): - Use single coordinate: C [2,1] -> [2,2] For 2x1 pieces (blockers "H1", "H2", etc.): - List both coordinates: H1 [[1,1],[1,2]] -> [[2,1],[2,2]] Example response format: <solution> Step 1: B2 [3,2] -> [4,2] Step 2: H1 [(2,3), (3,3)] -> [(1,3), (2,3)] Step 3: B2 [2,4] -> [1,4] Step 4: C [3,1] -> [3,2] Step 5: C [3,2] -> [3,3] Step 6: C [3,3] -> [3,4] Step 7: C [3,4] -> [2,4] </solution>
<solution> Step 1: C [1,3] -> [2,3] Step 2: C [2,3] -> [2,4] </solution>
2
medium
puzzle74
Task: Solve this 4x4 Rush Hour puzzle - move car "C" from position [4,1] to the TARGET at position [2,4] given the position of the blockers below. Current Grid State (JSON format): [[".",".",".","."],[".",".","H1","."],["H2","H2","H1","."],["C",".","B1","."]] Current Pieces: - Car "C": Position [4,1] - 1x1 Blockers (B1, B2, etc.): Single-cell obstacles that can be moved to clear a path - B1 at [4,3] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - H1 (vertical) at [2,3], [3,3] - H2 (horizontal) at [3,1], [3,2] - TARGET: Position [2,4] Movement Rules: - Any piece (car "C", 1x1 blockers "B1, B2, etc.", or 2x1 blockers "H1, H2, etc.") can move UP, DOWN, LEFT, or RIGHT - Each move is exactly ONE square in any direction for the entire piece - For 2x1 blockers: The entire piece moves together as a unit (both cells move simultaneously) - Pieces strictly CANNOT move outside the 4x4 grid - Pieces strictly CANNOT move into occupied squares (i.e. squares that already have another piece) - At ANY instant, there CANNOT be two pieces occupying the same square - The same piece can move multiple times in a row if needed - You win when car "C" reaches the TARGET cell Coordinate System: - Use [row,col] format where [1,1] is top-left, [4,4] is bottom-right - Each cell shows its coordinates in black text: (row,col) - For 2x1 blockers, both occupied cells are shown in the piece description Expected Output Format: Wrap your solution in <solution> tags and provide it as a numbered list of moves in this exact format: <solution> Step 1: [PIECE] [start_position] -> [end_position] Step 2: [PIECE] [start_position] -> [end_position] ... </solution> For 1x1 pieces (car "C" and blockers "B1", "B2", etc.): - Use single coordinate: C [2,1] -> [2,2] For 2x1 pieces (blockers "H1", "H2", etc.): - List both coordinates: H1 [[1,1],[1,2]] -> [[2,1],[2,2]] Example response format: <solution> Step 1: B2 [3,2] -> [4,2] Step 2: H1 [(2,3), (3,3)] -> [(1,3), (2,3)] Step 3: B2 [2,4] -> [1,4] Step 4: C [3,1] -> [3,2] Step 5: C [3,2] -> [3,3] Step 6: C [3,3] -> [3,4] Step 7: C [3,4] -> [2,4] </solution>
<solution> Step 1: B1 [4,3] -> [4,4] Step 2: H1 [(2, 3), (3, 3)] -> [(1, 3), (2, 3)] Step 3: C [4,1] -> [4,2] Step 4: C [4,2] -> [4,3] Step 5: C [4,3] -> [3,3] Step 6: C [3,3] -> [3,4] Step 7: C [3,4] -> [2,4] </solution>
7
medium
puzzle75
Task: Solve this 4x4 Rush Hour puzzle - move car "C" from position [2,1] to the TARGET at position [2,4] given the position of the blockers below. Current Grid State (JSON format): [[".","B2",".","."],["C",".","H2","H2"],[".","B1","B3","."],[".",".","H1","H1"]] Current Pieces: - Car "C": Position [2,1] - 1x1 Blockers (B1, B2, etc.): Single-cell obstacles that can be moved to clear a path - B2 at [1,2] - B1 at [3,2] - B3 at [3,3] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - H2 (horizontal) at [2,3], [2,4] - H1 (horizontal) at [4,3], [4,4] - TARGET: Position [2,4] Movement Rules: - Any piece (car "C", 1x1 blockers "B1, B2, etc.", or 2x1 blockers "H1, H2, etc.") can move UP, DOWN, LEFT, or RIGHT - Each move is exactly ONE square in any direction for the entire piece - For 2x1 blockers: The entire piece moves together as a unit (both cells move simultaneously) - Pieces strictly CANNOT move outside the 4x4 grid - Pieces strictly CANNOT move into occupied squares (i.e. squares that already have another piece) - At ANY instant, there CANNOT be two pieces occupying the same square - The same piece can move multiple times in a row if needed - You win when car "C" reaches the TARGET cell Coordinate System: - Use [row,col] format where [1,1] is top-left, [4,4] is bottom-right - Each cell shows its coordinates in black text: (row,col) - For 2x1 blockers, both occupied cells are shown in the piece description Expected Output Format: Wrap your solution in <solution> tags and provide it as a numbered list of moves in this exact format: <solution> Step 1: [PIECE] [start_position] -> [end_position] Step 2: [PIECE] [start_position] -> [end_position] ... </solution> For 1x1 pieces (car "C" and blockers "B1", "B2", etc.): - Use single coordinate: C [2,1] -> [2,2] For 2x1 pieces (blockers "H1", "H2", etc.): - List both coordinates: H1 [[1,1],[1,2]] -> [[2,1],[2,2]] Example response format: <solution> Step 1: B2 [3,2] -> [4,2] Step 2: H1 [(2,3), (3,3)] -> [(1,3), (2,3)] Step 3: B2 [2,4] -> [1,4] Step 4: C [3,1] -> [3,2] Step 5: C [3,2] -> [3,3] Step 6: C [3,3] -> [3,4] Step 7: C [3,4] -> [2,4] </solution>
<solution> Step 1: C [2,1] -> [2,2] Step 2: H2 [(2, 3), (2, 4)] -> [(1, 3), (1, 4)] Step 3: C [2,2] -> [2,3] Step 4: C [2,3] -> [2,4] </solution>
4
medium
puzzle76
Task: Solve this 4x4 Rush Hour puzzle - move car "C" from position [3,4] to the TARGET at position [2,4] given the position of the blockers below. Current Grid State (JSON format): [[".",".",".","."],["B1",".",".","."],["H2",".",".","C"],["H2",".","H1","H1"]] Current Pieces: - Car "C": Position [3,4] - 1x1 Blockers (B1, B2, etc.): Single-cell obstacles that can be moved to clear a path - B1 at [2,1] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - H2 (vertical) at [3,1], [4,1] - H1 (horizontal) at [4,3], [4,4] - TARGET: Position [2,4] Movement Rules: - Any piece (car "C", 1x1 blockers "B1, B2, etc.", or 2x1 blockers "H1, H2, etc.") can move UP, DOWN, LEFT, or RIGHT - Each move is exactly ONE square in any direction for the entire piece - For 2x1 blockers: The entire piece moves together as a unit (both cells move simultaneously) - Pieces strictly CANNOT move outside the 4x4 grid - Pieces strictly CANNOT move into occupied squares (i.e. squares that already have another piece) - At ANY instant, there CANNOT be two pieces occupying the same square - The same piece can move multiple times in a row if needed - You win when car "C" reaches the TARGET cell Coordinate System: - Use [row,col] format where [1,1] is top-left, [4,4] is bottom-right - Each cell shows its coordinates in black text: (row,col) - For 2x1 blockers, both occupied cells are shown in the piece description Expected Output Format: Wrap your solution in <solution> tags and provide it as a numbered list of moves in this exact format: <solution> Step 1: [PIECE] [start_position] -> [end_position] Step 2: [PIECE] [start_position] -> [end_position] ... </solution> For 1x1 pieces (car "C" and blockers "B1", "B2", etc.): - Use single coordinate: C [2,1] -> [2,2] For 2x1 pieces (blockers "H1", "H2", etc.): - List both coordinates: H1 [[1,1],[1,2]] -> [[2,1],[2,2]] Example response format: <solution> Step 1: B2 [3,2] -> [4,2] Step 2: H1 [(2,3), (3,3)] -> [(1,3), (2,3)] Step 3: B2 [2,4] -> [1,4] Step 4: C [3,1] -> [3,2] Step 5: C [3,2] -> [3,3] Step 6: C [3,3] -> [3,4] Step 7: C [3,4] -> [2,4] </solution>
<solution> Step 1: C [3,4] -> [2,4] </solution>
1
medium
puzzle77
Task: Solve this 4x4 Rush Hour puzzle - move car "C" from position [2,2] to the TARGET at position [2,4] given the position of the blockers below. Current Grid State (JSON format): [[".",".","B3","."],["B1","C","B4","."],[".",".","B2","H1"],[".",".",".","H1"]] Current Pieces: - Car "C": Position [2,2] - 1x1 Blockers (B1, B2, etc.): Single-cell obstacles that can be moved to clear a path - B3 at [1,3] - B1 at [2,1] - B4 at [2,3] - B2 at [3,3] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - H1 (vertical) at [3,4], [4,4] - TARGET: Position [2,4] Movement Rules: - Any piece (car "C", 1x1 blockers "B1, B2, etc.", or 2x1 blockers "H1, H2, etc.") can move UP, DOWN, LEFT, or RIGHT - Each move is exactly ONE square in any direction for the entire piece - For 2x1 blockers: The entire piece moves together as a unit (both cells move simultaneously) - Pieces strictly CANNOT move outside the 4x4 grid - Pieces strictly CANNOT move into occupied squares (i.e. squares that already have another piece) - At ANY instant, there CANNOT be two pieces occupying the same square - The same piece can move multiple times in a row if needed - You win when car "C" reaches the TARGET cell Coordinate System: - Use [row,col] format where [1,1] is top-left, [4,4] is bottom-right - Each cell shows its coordinates in black text: (row,col) - For 2x1 blockers, both occupied cells are shown in the piece description Expected Output Format: Wrap your solution in <solution> tags and provide it as a numbered list of moves in this exact format: <solution> Step 1: [PIECE] [start_position] -> [end_position] Step 2: [PIECE] [start_position] -> [end_position] ... </solution> For 1x1 pieces (car "C" and blockers "B1", "B2", etc.): - Use single coordinate: C [2,1] -> [2,2] For 2x1 pieces (blockers "H1", "H2", etc.): - List both coordinates: H1 [[1,1],[1,2]] -> [[2,1],[2,2]] Example response format: <solution> Step 1: B2 [3,2] -> [4,2] Step 2: H1 [(2,3), (3,3)] -> [(1,3), (2,3)] Step 3: B2 [2,4] -> [1,4] Step 4: C [3,1] -> [3,2] Step 5: C [3,2] -> [3,3] Step 6: C [3,3] -> [3,4] Step 7: C [3,4] -> [2,4] </solution>
<solution> Step 1: B2 [3,3] -> [4,3] Step 2: B4 [2,3] -> [3,3] Step 3: C [2,2] -> [2,3] Step 4: C [2,3] -> [2,4] </solution>
4
medium
puzzle78
Task: Solve this 4x4 Rush Hour puzzle - move car "C" from position [3,4] to the TARGET at position [2,4] given the position of the blockers below. Current Grid State (JSON format): [[".",".","B2","."],[".",".",".","."],[".",".","H1","C"],["B3","B1","H1","B4"]] Current Pieces: - Car "C": Position [3,4] - 1x1 Blockers (B1, B2, etc.): Single-cell obstacles that can be moved to clear a path - B2 at [1,3] - B3 at [4,1] - B1 at [4,2] - B4 at [4,4] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - H1 (vertical) at [3,3], [4,3] - TARGET: Position [2,4] Movement Rules: - Any piece (car "C", 1x1 blockers "B1, B2, etc.", or 2x1 blockers "H1, H2, etc.") can move UP, DOWN, LEFT, or RIGHT - Each move is exactly ONE square in any direction for the entire piece - For 2x1 blockers: The entire piece moves together as a unit (both cells move simultaneously) - Pieces strictly CANNOT move outside the 4x4 grid - Pieces strictly CANNOT move into occupied squares (i.e. squares that already have another piece) - At ANY instant, there CANNOT be two pieces occupying the same square - The same piece can move multiple times in a row if needed - You win when car "C" reaches the TARGET cell Coordinate System: - Use [row,col] format where [1,1] is top-left, [4,4] is bottom-right - Each cell shows its coordinates in black text: (row,col) - For 2x1 blockers, both occupied cells are shown in the piece description Expected Output Format: Wrap your solution in <solution> tags and provide it as a numbered list of moves in this exact format: <solution> Step 1: [PIECE] [start_position] -> [end_position] Step 2: [PIECE] [start_position] -> [end_position] ... </solution> For 1x1 pieces (car "C" and blockers "B1", "B2", etc.): - Use single coordinate: C [2,1] -> [2,2] For 2x1 pieces (blockers "H1", "H2", etc.): - List both coordinates: H1 [[1,1],[1,2]] -> [[2,1],[2,2]] Example response format: <solution> Step 1: B2 [3,2] -> [4,2] Step 2: H1 [(2,3), (3,3)] -> [(1,3), (2,3)] Step 3: B2 [2,4] -> [1,4] Step 4: C [3,1] -> [3,2] Step 5: C [3,2] -> [3,3] Step 6: C [3,3] -> [3,4] Step 7: C [3,4] -> [2,4] </solution>
<solution> Step 1: C [3,4] -> [2,4] </solution>
1
medium
puzzle79
Task: Solve this 4x4 Rush Hour puzzle - move car "C" from position [2,3] to the TARGET at position [2,4] given the position of the blockers below. Current Grid State (JSON format): [[".",".",".","H1"],[".",".","C","H1"],[".","H2",".","."],[".","H2","B1","."]] Current Pieces: - Car "C": Position [2,3] - 1x1 Blockers (B1, B2, etc.): Single-cell obstacles that can be moved to clear a path - B1 at [4,3] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - H1 (vertical) at [1,4], [2,4] - H2 (vertical) at [3,2], [4,2] - TARGET: Position [2,4] Movement Rules: - Any piece (car "C", 1x1 blockers "B1, B2, etc.", or 2x1 blockers "H1, H2, etc.") can move UP, DOWN, LEFT, or RIGHT - Each move is exactly ONE square in any direction for the entire piece - For 2x1 blockers: The entire piece moves together as a unit (both cells move simultaneously) - Pieces strictly CANNOT move outside the 4x4 grid - Pieces strictly CANNOT move into occupied squares (i.e. squares that already have another piece) - At ANY instant, there CANNOT be two pieces occupying the same square - The same piece can move multiple times in a row if needed - You win when car "C" reaches the TARGET cell Coordinate System: - Use [row,col] format where [1,1] is top-left, [4,4] is bottom-right - Each cell shows its coordinates in black text: (row,col) - For 2x1 blockers, both occupied cells are shown in the piece description Expected Output Format: Wrap your solution in <solution> tags and provide it as a numbered list of moves in this exact format: <solution> Step 1: [PIECE] [start_position] -> [end_position] Step 2: [PIECE] [start_position] -> [end_position] ... </solution> For 1x1 pieces (car "C" and blockers "B1", "B2", etc.): - Use single coordinate: C [2,1] -> [2,2] For 2x1 pieces (blockers "H1", "H2", etc.): - List both coordinates: H1 [[1,1],[1,2]] -> [[2,1],[2,2]] Example response format: <solution> Step 1: B2 [3,2] -> [4,2] Step 2: H1 [(2,3), (3,3)] -> [(1,3), (2,3)] Step 3: B2 [2,4] -> [1,4] Step 4: C [3,1] -> [3,2] Step 5: C [3,2] -> [3,3] Step 6: C [3,3] -> [3,4] Step 7: C [3,4] -> [2,4] </solution>
<solution> Step 1: H1 [(1, 4), (2, 4)] -> [(2, 4), (3, 4)] Step 2: H1 [(2, 4), (3, 4)] -> [(3, 4), (4, 4)] Step 3: C [2,3] -> [2,4] </solution>
3
medium
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Rush Hour 4x4 Evaluation Dataset

This dataset contains 150 4x4 Rush Hour puzzles for model evaluation with difficulty labels.

Format

  • puzzle_id: Unique identifier (puzzle1, puzzle2, ...)
  • prompt: Full formatted prompt as used in model inference
  • solution: Optimal solution with proper formatting
  • optimal_moves: Number of moves in optimal solution
  • difficulty: Difficulty level (easy, medium, hard)

Usage

Each puzzle contains:

  1. A grid state in JSON format
  2. Piece positions and types
  3. Movement rules and constraints
  4. Expected output format

Perfect for evaluating reasoning capabilities of language models on spatial puzzles.

File Formats

  • dataset.parquet: Recommended format - handles multi-line text properly (150 rows)
  • dataset.jsonl: JSON Lines format - one puzzle per line (150 rows)
  • dataset.json: Complete JSON array format (150 entries)
  • dataset_info.json: Dataset metadata

Dataset Statistics

  • Total puzzles: 150
  • Difficulty levels: Easy (50), Medium (50), Hard (50)
  • Grid size: 4x4
  • Optimal solution length: 1-15 moves
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