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9
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2.14k
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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
puzzle80
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",".","."],[".",".",".","H1"],["C",".",".","H1"],[".","H2","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] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - H1 (vertical) at [2,4], [3,4] - 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: H1 [(2, 4), (3, 4)] -> [(3, 4), (4, 4)] 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
puzzle81
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","B1","."],[".","C",".","."],[".","H2","H2","."]] 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 [2,3] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - H1 (vertical) at [1,2], [2,2] - 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 [3,2] -> [3,3] Step 2: C [3,3] -> [3,4] Step 3: C [3,4] -> [2,4] </solution>
3
medium
puzzle82
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","H1","H1"],[".","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 - B3 at [2,2] - B1 at [2,4] - B2 at [4,1] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - H2 (horizontal) at [1,1], [1,2] - 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: B1 [2,4] -> [3,4] 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
medium
puzzle83
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): [[".",".",".","."],[".",".","C","B2"],["B4","B3",".","."],["B1",".","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 - B2 at [2,4] - B4 at [3,1] - B3 at [3,2] - B1 at [4,1] - 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: B2 [2,4] -> [1,4] Step 2: C [2,3] -> [2,4] </solution>
2
medium
puzzle84
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): [["B3",".","C","H1"],[".",".",".","H1"],[".",".","B2","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 - B3 at [1,1] - B2 at [3,3] - B1 at [3,4] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - H1 (vertical) at [1,4], [2,4] - 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: B2 [3,3] -> [2,3] Step 2: B1 [3,4] -> [3,3] Step 3: H1 [(1, 4), (2, 4)] -> [(2, 4), (3, 4)] Step 4: C [1,3] -> [1,4] Step 5: H2 [(4, 3), (4, 4)] -> [(4, 2), (4, 3)] Step 6: H1 [(2, 4), (3, 4)] -> [(3, 4), (4, 4)] Step 7: C [1,4] -> [2,4] </solution>
7
medium
puzzle85
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","H2"],[".","H1","H1","H2"],["B2","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 - B3 at [2,3] - B2 at [4,1] - B1 at [4,2] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - H2 (vertical) at [2,4], [3,4] - H1 (horizontal) at [3,2], [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: B3 [2,3] -> [1,3] Step 2: H1 [(3, 2), (3, 3)] -> [(3, 1), (3, 2)] Step 3: H2 [(2, 4), (3, 4)] -> [(2, 3), (3, 3)] Step 4: C [4,4] -> [3,4] Step 5: C [3,4] -> [2,4] </solution>
5
medium
puzzle86
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"],["B1",".","B4","H1"],[".",".",".","H1"],[".",".","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 [1,4] - B1 at [2,1] - B4 at [2,3] - B3 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: B4 [2,3] -> [1,3] Step 2: H1 [(2, 4), (3, 4)] -> [(2, 3), (3, 3)] Step 3: C [4,4] -> [3,4] Step 4: C [3,4] -> [2,4] </solution>
4
medium
puzzle87
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",".","."],["B4","H1","H1","B3"],[".","B1",".","C"],[".",".",".","."]] 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 [1,2] - B4 at [2,1] - B3 at [2,4] - B1 at [3,2] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - H1 (horizontal) at [2,2], [2,3] - 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 [2,4] -> [1,4] Step 2: C [3,4] -> [2,4] </solution>
2
medium
puzzle88
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","H2"],["B1","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 [2,1] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - H2 (horizontal) at [1,3], [1,4] - 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 [2,2] -> [2,3] Step 2: C [2,3] -> [2,4] </solution>
2
medium
puzzle89
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): [[".","H2","H2","."],[".",".","C","."],["B3","B1","B2","."],[".",".","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 - B3 at [3,1] - B1 at [3,2] - B2 at [3,3] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - H2 (horizontal) at [1,2], [1,3] - 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 [2,3] -> [2,4] </solution>
1
medium
puzzle90
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",".",".","."],["H1","H1","C","."],[".","B1","B2","."],[".",".","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 [1,1] - B1 at [3,2] - B2 at [3,3] - B3 at [4,3] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - H1 (horizontal) at [2,1], [2,2] - 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
puzzle91
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",".","H1","H1"],["C",".","B2","B3"],[".",".","B4","."]] 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 [2,1] - B2 at [3,3] - B3 at [3,4] - B4 at [4,3] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - H1 (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 [3,1] -> [3,2] Step 2: C [3,2] -> [2,2] Step 3: H1 [(2, 3), (2, 4)] -> [(1, 3), (1, 4)] Step 4: C [2,2] -> [2,3] Step 5: C [2,3] -> [2,4] </solution>
5
medium
puzzle92
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",".",".","."],[".","H1","H1","H2"],["C",".","B3","H2"],["B2",".",".","."]] 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 [1,1] - B3 at [3,3] - B2 at [4,1] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - H1 (horizontal) at [2,2], [2,3] - H2 (vertical) at [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 [3,1] -> [2,1] Step 2: H1 [(2, 2), (2, 3)] -> [(1, 2), (1, 3)] 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
puzzle93
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",".","B1","."],[".",".",".","."],[".","H1","H1","B3"],["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 [1,1] - B1 at [1,3] - 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 [3,2], [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 [4,1] -> [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
medium
puzzle94
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): [[".","H1","H1","."],["B3",".",".","."],["B2",".","C","."],["B4","B1",".","."]] Current Pieces: - Car "C": Position [3,3] - 1x1 Blockers (B1, B2, etc.): Single-cell obstacles that can be moved to clear a path - B3 at [2,1] - B2 at [3,1] - B4 at [4,1] - B1 at [4,2] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - H1 (horizontal) at [1,2], [1,3] - 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
puzzle95
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"],[".",".","H1","H2"],[".","B2","H1","B3"],["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 [3,2] - B3 at [3,4] - B1 at [4,1] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - H2 (vertical) at [1,4], [2,4] - H1 (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: B2 [3,2] -> [4,2] Step 2: C [1,1] -> [1,2] Step 3: H1 [(2, 3), (3, 3)] -> [(2, 2), (3, 2)] Step 4: H2 [(1, 4), (2, 4)] -> [(1, 3), (2, 3)] Step 5: H2 [(1, 3), (2, 3)] -> [(2, 3), (3, 3)] Step 6: C [1,2] -> [1,3] Step 7: C [1,3] -> [1,4] Step 8: C [1,4] -> [2,4] </solution>
8
medium
puzzle96
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): [["B1","B4",".","."],["C",".",".","."],[".","H1","H1","."],["B3",".",".","B2"]] Current Pieces: - Car "C": Position [2,1] - 1x1 Blockers (B1, B2, etc.): Single-cell obstacles that can be moved to clear a path - B1 at [1,1] - B4 at [1,2] - B3 at [4,1] - B2 at [4,4] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - H1 (horizontal) at [3,2], [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 [2,1] -> [2,2] Step 2: C [2,2] -> [2,3] Step 3: C [2,3] -> [2,4] </solution>
3
medium
puzzle97
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): [["H2","H2",".","C"],[".",".","B1","."],[".",".",".","."],[".","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 - B1 at [2,3] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - H2 (horizontal) at [1,1], [1,2] - 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
puzzle98
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","B1","."],["H2","H2",".","."],[".",".","B2","."],["H1","H1","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 [1,2] - B1 at [1,3] - B2 at [3,3] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - H2 (horizontal) at [2,1], [2,2] - H1 (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 [4,3] -> [4,4] Step 2: C [4,4] -> [3,4] Step 3: C [3,4] -> [2,4] </solution>
3
medium
puzzle99
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",".","B3"],[".","H1",".","."],["C","H1",".","."],["H2","H2","B1","."]] 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] - B3 at [1,4] - B1 at [4,3] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - H1 (vertical) at [2,2], [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: B2 [1,2] -> [1,1] Step 2: H1 [(2, 2), (3, 2)] -> [(1, 2), (2, 2)] Step 3: C [3,1] -> [3,2] Step 4: C [3,2] -> [3,3] Step 5: C [3,3] -> [2,3] Step 6: C [2,3] -> [2,4] </solution>
6
medium
puzzle100
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",".","."],[".","H1","H1","."],[".",".","H2","."],[".","B1","H2","."]] 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 [4,2] - 2x1 Blockers (H1, H2, etc.): Two-cell obstacles that move as a single unit - H1 (horizontal) at [2,2], [2,3] - H2 (vertical) at [3,3], [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 [1,2] -> [1,3] Step 2: C [1,3] -> [1,4] Step 3: C [1,4] -> [2,4] </solution>
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medium