puzzle_id
stringlengths 7
9
| prompt
stringlengths 2.14k
2.22k
| solution
stringlengths 47
339
| optimal_moves
int64 1
9
| difficulty
stringclasses 3
values |
|---|---|---|---|---|
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
|
End of preview. Expand
in Data Studio
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:
- A grid state in JSON format
- Piece positions and types
- Movement rules and constraints
- 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
- Downloads last month
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