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[ { "role": "system", "content": "You are a competitive puzzle solver. Make sure you read the puzzle instructions carefully, and always follow the required format.\n\nIn each turn, think briefly inside <think>...</think> tags, then output exactly one move inside <move>...</move> tags." }, { "role": "u...
[ { "role": "assistant", "content": "<think>\nMove tile 7 up into the blank to bring it closer to its correct row.\n</think>\n<move>up</move>" }, { "role": "user", "content": "Board after move:\n1 2 3 4\n5 6 11 7\n9 10 15 _\n13 14 12 8\n\nContinue." }, { "role": "assistant", "content":...
up,up,right,down,down,left,up,up
1
15_puzzle
sft_000001
[ 1, 2, 3, 4, 5, 6, 11, 0, 9, 10, 15, 7, 13, 14, 12, 8 ]
8
[ "up", "up", "right", "down", "down", "left", "up", "up" ]
8
8
sft
[ { "role": "system", "content": "You are a competitive puzzle solver. Make sure you read the puzzle instructions carefully, and always follow the required format.\n\nIn each turn, think briefly inside <think>...</think> tags, then output exactly one move inside <move>...</move> tags." }, { "role": "u...
[ { "role": "assistant", "content": "<think>\nMove tile 15 down into the blank to bring it closer to its solved position in the bottom right corner.\n</think>\n<move>down</move>" }, { "role": "user", "content": "Board after move:\n1 2 4 8\n5 6 3 12\n9 10 7 _\n13 14 11 15\n\nContinue." }, { ...
down,down,down,right,up,up,up,left
1
15_puzzle
sft_000002
[ 1, 2, 4, 8, 5, 6, 3, 12, 9, 10, 7, 15, 13, 14, 11, 0 ]
8
[ "down", "down", "down", "right", "up", "up", "up", "left" ]
8
8
sft
[ { "role": "system", "content": "You are a competitive puzzle solver. Make sure you read the puzzle instructions carefully, and always follow the required format.\n\nIn each turn, think briefly inside <think>...</think> tags, then output exactly one move inside <move>...</move> tags." }, { "role": "u...
[ { "role": "assistant", "content": "<think>\nMove tile 1 left into the blank to begin assembling the top row in order.\n</think>\n<move>left</move>" }, { "role": "user", "content": "Board after move:\n1 _ 2 3\n5 6 7 4\n9 10 12 8\n13 14 11 15\n\nContinue." }, { "role": "assistant", "co...
left,left,left,up,up,right,up,left
1
15_puzzle
sft_000003
[ 0, 1, 2, 3, 5, 6, 7, 4, 9, 10, 12, 8, 13, 14, 11, 15 ]
8
[ "left", "left", "left", "up", "up", "right", "up", "left" ]
8
8
sft
[ { "role": "system", "content": "You are a competitive puzzle solver. Make sure you read the puzzle instructions carefully, and always follow the required format.\n\nIn each turn, think briefly inside <think>...</think> tags, then output exactly one move inside <move>...</move> tags." }, { "role": "u...
[ { "role": "assistant", "content": "<think>\nMove tile 7 up into the blank to bring it closer to its correct row.\n</think>\n<move>up</move>" }, { "role": "user", "content": "Board after move:\n1 2 3 4\n5 6 8 12\n9 10 7 15\n13 14 _ 11\n\nContinue." }, { "role": "assistant", "content":...
up,left,down,down,right,up,up,left
1
15_puzzle
sft_000004
[ 1, 2, 3, 4, 5, 6, 8, 12, 9, 10, 0, 15, 13, 14, 7, 11 ]
8
[ "up", "left", "down", "down", "right", "up", "up", "left" ]
8
8
sft
[ { "role": "system", "content": "You are a competitive puzzle solver. Make sure you read the puzzle instructions carefully, and always follow the required format.\n\nIn each turn, think briefly inside <think>...</think> tags, then output exactly one move inside <move>...</move> tags." }, { "role": "u...
[ { "role": "assistant", "content": "<think>\nMove tile 13 left into the blank to bring it closer to its solved position in the bottom row.\n</think>\n<move>left</move>" }, { "role": "user", "content": "Board after move:\n1 2 3 4\n5 6 7 8\n10 11 14 12\n9 13 _ 15\n\nContinue." }, { "role": ...
left,down,right,right,up,left,left,left
1
15_puzzle
sft_000005
[ 1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 14, 12, 9, 0, 13, 15 ]
8
[ "left", "down", "right", "right", "up", "left", "left", "left" ]
8
8
sft
[ { "role": "system", "content": "You are a competitive puzzle solver. Make sure you read the puzzle instructions carefully, and always follow the required format.\n\nIn each turn, think briefly inside <think>...</think> tags, then output exactly one move inside <move>...</move> tags." }, { "role": "u...
[ { "role": "assistant", "content": "<think>\nMove tile 6 down into the blank to bring it closer to its solved position in the top row.\n</think>\n<move>down</move>" }, { "role": "user", "content": "Board after move:\n2 _ 3 4\n1 6 7 8\n5 9 10 11\n13 14 15 12\n\nContinue." }, { "role": "ass...
down,right,up,up,left,left,left,up
1
15_puzzle
sft_000006
[ 2, 6, 3, 4, 1, 0, 7, 8, 5, 9, 10, 11, 13, 14, 15, 12 ]
8
[ "down", "right", "up", "up", "left", "left", "left", "up" ]
8
8
sft
[ { "role": "system", "content": "You are a competitive puzzle solver. Make sure you read the puzzle instructions carefully, and always follow the required format.\n\nIn each turn, think briefly inside <think>...</think> tags, then output exactly one move inside <move>...</move> tags." }, { "role": "u...
[ { "role": "assistant", "content": "<think>\nMove tile 8 right into the blank to slide it away from the second row and clear the path for the tiles that need to be in that row.\n</think>\n<move>right</move>" }, { "role": "user", "content": "Board after move:\n1 2 3 4\n5 6 _ 8\n9 10 7 15\n13 14 12...
right,up,up,left,down,right,up,left
1
15_puzzle
sft_000007
[ 1, 2, 3, 4, 5, 6, 8, 0, 9, 10, 7, 15, 13, 14, 12, 11 ]
8
[ "right", "up", "up", "left", "down", "right", "up", "left" ]
8
8
sft
[ { "role": "system", "content": "You are a competitive puzzle solver. Make sure you read the puzzle instructions carefully, and always follow the required format.\n\nIn each turn, think briefly inside <think>...</think> tags, then output exactly one move inside <move>...</move> tags." }, { "role": "u...
[ { "role": "assistant", "content": "<think>\nMove tile 6 left into the blank to bring it closer to its correct position between 5 and 7.\n</think>\n<move>left</move>" }, { "role": "user", "content": "Board after move:\n1 2 7 3\n5 6 _ 4\n9 10 12 8\n13 14 11 15\n\nContinue." }, { "role": "a...
left,down,left,up,up,right,up,left
1
15_puzzle
sft_000008
[ 1, 2, 7, 3, 5, 0, 6, 4, 9, 10, 12, 8, 13, 14, 11, 15 ]
8
[ "left", "down", "left", "up", "up", "right", "up", "left" ]
8
8
sft
[ { "role": "system", "content": "You are a competitive puzzle solver. Make sure you read the puzzle instructions carefully, and always follow the required format.\n\nIn each turn, think briefly inside <think>...</think> tags, then output exactly one move inside <move>...</move> tags." }, { "role": "u...
[ { "role": "assistant", "content": "<think>\nMove tile 6 right into the blank to bring it closer to its correct position in the top row.\n</think>\n<move>right</move>" }, { "role": "user", "content": "Board after move:\n5 1 2 3\n_ 6 7 4\n9 10 11 8\n13 14 15 12\n\nContinue." }, { "role": "...
right,down,left,left,left,up,up,up
1
15_puzzle
sft_000009
[ 5, 1, 2, 3, 6, 0, 7, 4, 9, 10, 11, 8, 13, 14, 15, 12 ]
8
[ "right", "down", "left", "left", "left", "up", "up", "up" ]
8
8
sft
[ { "role": "system", "content": "You are a competitive puzzle solver. Make sure you read the puzzle instructions carefully, and always follow the required format.\n\nIn each turn, think briefly inside <think>...</think> tags, then output exactly one move inside <move>...</move> tags." }, { "role": "u...
[ { "role": "assistant", "content": "<think>\nMove tile 9 down into the blank to bring it one step closer to its solved position in the top left corner.\n</think>\n<move>down</move>" }, { "role": "user", "content": "Board after move:\n5 1 2 3\n_ 6 7 4\n9 10 11 8\n13 14 15 12\n\nContinue." }, {...
down,down,left,left,left,up,up,up
1
15_puzzle
sft_000010
[ 5, 1, 2, 3, 9, 6, 7, 4, 0, 10, 11, 8, 13, 14, 15, 12 ]
8
[ "down", "down", "left", "left", "left", "up", "up", "up" ]
8
8
sft
[ { "role": "system", "content": "You are a competitive puzzle solver. Make sure you read the puzzle instructions carefully, and always follow the required format.\n\nIn each turn, think briefly inside <think>...</think> tags, then output exactly one move inside <move>...</move> tags." }, { "role": "u...
[ { "role": "assistant", "content": "<think>\nMove tile 3 left into the blank to place it in its correct row position.\n</think>\n<move>left</move>" }, { "role": "user", "content": "Board after move:\n1 2 3 _\n5 7 8 4\n9 6 10 12\n13 14 11 15\n\nContinue." }, { "role": "assistant", "con...
left,up,right,right,up,left,up,left
1
15_puzzle
sft_000011
[ 1, 2, 0, 3, 5, 7, 8, 4, 9, 6, 10, 12, 13, 14, 11, 15 ]
8
[ "left", "up", "right", "right", "up", "left", "up", "left" ]
8
8
sft
[ { "role": "system", "content": "You are a competitive puzzle solver. Make sure you read the puzzle instructions carefully, and always follow the required format.\n\nIn each turn, think briefly inside <think>...</think> tags, then output exactly one move inside <move>...</move> tags." }, { "role": "u...
[ { "role": "assistant", "content": "<think>\nMove tile 3 right into the blank to shift it toward its correct position in the top row.\n</think>\n<move>right</move>" }, { "role": "user", "content": "Board after move:\n2 _ 3 4\n1 5 6 8\n9 10 7 12\n13 14 11 15\n\nContinue." }, { "role": "ass...
right,right,up,left,left,up,up,left
1
15_puzzle
sft_000012
[ 2, 3, 0, 4, 1, 5, 6, 8, 9, 10, 7, 12, 13, 14, 11, 15 ]
8
[ "right", "right", "up", "left", "left", "up", "up", "left" ]
8
8
sft
[ { "role": "system", "content": "You are a competitive puzzle solver. Make sure you read the puzzle instructions carefully, and always follow the required format.\n\nIn each turn, think briefly inside <think>...</think> tags, then output exactly one move inside <move>...</move> tags." }, { "role": "u...
[ { "role": "assistant", "content": "<think>\nMove tile 7 down into the blank to place it in the correct row for its solved position.\n</think>\n<move>down</move>" }, { "role": "user", "content": "Board after move:\n1 3 6 4\n5 2 _ 8\n9 10 7 12\n13 14 11 15\n\nContinue." }, { "role": "assis...
down,down,right,up,left,up,up,left
1
15_puzzle
sft_000013
[ 1, 3, 6, 4, 5, 2, 7, 8, 9, 10, 0, 12, 13, 14, 11, 15 ]
8
[ "down", "down", "right", "up", "left", "up", "up", "left" ]
8
8
sft
[ { "role": "system", "content": "You are a competitive puzzle solver. Make sure you read the puzzle instructions carefully, and always follow the required format.\n\nIn each turn, think briefly inside <think>...</think> tags, then output exactly one move inside <move>...</move> tags." }, { "role": "u...
[ { "role": "assistant", "content": "<think>\nMove tile 10 left into the blank to bring it closer to its correct column.\n</think>\n<move>left</move>" }, { "role": "user", "content": "Board after move:\n1 2 3 4\n5 10 _ 7\n9 11 6 8\n13 14 15 12\n\nContinue." }, { "role": "assistant", "c...
left,up,right,down,left,left,up,up
1
15_puzzle
sft_000014
[ 1, 2, 3, 4, 5, 0, 10, 7, 9, 11, 6, 8, 13, 14, 15, 12 ]
8
[ "left", "up", "right", "down", "left", "left", "up", "up" ]
8
8
sft
[ { "role": "system", "content": "You are a competitive puzzle solver. Make sure you read the puzzle instructions carefully, and always follow the required format.\n\nIn each turn, think briefly inside <think>...</think> tags, then output exactly one move inside <move>...</move> tags." }, { "role": "u...
[ { "role": "assistant", "content": "<think>\nMove tile 11 up into the blank to bring it closer to its correct position in the third row.\n</think>\n<move>up</move>" }, { "role": "user", "content": "Board after move:\n1 2 3 4\n5 6 7 8\n13 9 11 12\n10 14 _ 15\n\nContinue." }, { "role": "ass...
up,right,right,down,left,up,left,left
1
15_puzzle
sft_000015
[ 1, 2, 3, 4, 5, 6, 7, 8, 13, 9, 0, 12, 10, 14, 11, 15 ]
8
[ "up", "right", "right", "down", "left", "up", "left", "left" ]
8
8
sft
[ { "role": "system", "content": "You are a competitive puzzle solver. Make sure you read the puzzle instructions carefully, and always follow the required format.\n\nIn each turn, think briefly inside <think>...</think> tags, then output exactly one move inside <move>...</move> tags." }, { "role": "u...
[ { "role": "assistant", "content": "<think>\nMove tile 9 left into the blank to bring it nearer to its correct row.\n</think>\n<move>left</move>" }, { "role": "user", "content": "Board after move:\n1 2 3 4\n5 6 7 8\n9 _ 14 12\n13 11 10 15\n\nContinue." }, { "role": "assistant", "conte...
left,up,left,down,right,up,left,left
1
15_puzzle
sft_000016
[ 1, 2, 3, 4, 5, 6, 7, 8, 0, 9, 14, 12, 13, 11, 10, 15 ]
8
[ "left", "up", "left", "down", "right", "up", "left", "left" ]
8
8
sft
[ { "role": "system", "content": "You are a competitive puzzle solver. Make sure you read the puzzle instructions carefully, and always follow the required format.\n\nIn each turn, think briefly inside <think>...</think> tags, then output exactly one move inside <move>...</move> tags." }, { "role": "u...
[ { "role": "assistant", "content": "<think>\nMove tile 10 up into the blank to bring it closer to its correct position in the bottom row.\n</think>\n<move>up</move>" }, { "role": "user", "content": "Board after move:\n1 2 3 4\n5 6 7 8\n13 9 10 11\n14 15 _ 12\n\nContinue." }, { "role": "as...
up,right,right,down,left,left,left,up
1
15_puzzle
sft_000017
[ 1, 2, 3, 4, 5, 6, 7, 8, 13, 9, 0, 11, 14, 15, 10, 12 ]
8
[ "up", "right", "right", "down", "left", "left", "left", "up" ]
8
8
sft
[ { "role": "system", "content": "You are a competitive puzzle solver. Make sure you read the puzzle instructions carefully, and always follow the required format.\n\nIn each turn, think briefly inside <think>...</think> tags, then output exactly one move inside <move>...</move> tags." }, { "role": "u...
[ { "role": "assistant", "content": "<think>\nMove tile 7 down into the blank to bring it closer to its correct column in the second row.\n</think>\n<move>down</move>" }, { "role": "user", "content": "Board after move:\n1 2 4 8\n5 6 _ 3\n9 10 7 11\n13 14 15 12\n\nContinue." }, { "role": "a...
down,left,down,right,up,up,left,up
1
15_puzzle
sft_000018
[ 1, 2, 4, 8, 5, 6, 7, 3, 9, 10, 0, 11, 13, 14, 15, 12 ]
8
[ "down", "left", "down", "right", "up", "up", "left", "up" ]
8
8
sft
[ { "role": "system", "content": "You are a competitive puzzle solver. Make sure you read the puzzle instructions carefully, and always follow the required format.\n\nIn each turn, think briefly inside <think>...</think> tags, then output exactly one move inside <move>...</move> tags." }, { "role": "u...
[ { "role": "assistant", "content": "<think>\nMove tile 9 down into the blank to bring it closer to its solved position in the top row.\n</think>\n<move>down</move>" }, { "role": "user", "content": "Board after move:\n1 6 2 3\n_ 5 7 4\n9 10 11 8\n13 14 15 12\n\nContinue." }, { "role": "ass...
down,left,down,left,left,up,up,up
1
15_puzzle
sft_000019
[ 1, 6, 2, 3, 9, 5, 7, 4, 0, 10, 11, 8, 13, 14, 15, 12 ]
8
[ "down", "left", "down", "left", "left", "up", "up", "up" ]
8
8
sft
[ { "role": "system", "content": "You are a competitive puzzle solver. Make sure you read the puzzle instructions carefully, and always follow the required format.\n\nIn each turn, think briefly inside <think>...</think> tags, then output exactly one move inside <move>...</move> tags." }, { "role": "u...
[ { "role": "assistant", "content": "<think>\nMove tile 1 up into the blank to restore the correct order in the top-left corner of the board.\n</think>\n<move>up</move>" }, { "role": "user", "content": "Board after move:\n1 2 3 4\n_ 6 7 8\n5 14 10 11\n9 13 15 12\n\nContinue." }, { "role": ...
up,up,up,left,down,left,left,up
1
15_puzzle
sft_000020
[ 0, 2, 3, 4, 1, 6, 7, 8, 5, 14, 10, 11, 9, 13, 15, 12 ]
8
[ "up", "up", "up", "left", "down", "left", "left", "up" ]
8
8
sft
[ { "role": "system", "content": "You are a competitive puzzle solver. Make sure you read the puzzle instructions carefully, and always follow the required format.\n\nIn each turn, think briefly inside <think>...</think> tags, then output exactly one move inside <move>...</move> tags." }, { "role": "u...
[ { "role": "assistant", "content": "<think>\nMove tile 11 up into the blank to bring it closer to its correct row.\n</think>\n<move>up</move>" }, { "role": "user", "content": "Board after move:\n1 2 3 4\n5 6 7 8\n10 13 11 12\n9 14 _ 15\n\nContinue." }, { "role": "assistant", "content"...
up,right,down,right,up,left,left,left
1
15_puzzle
sft_000021
[ 1, 2, 3, 4, 5, 6, 7, 8, 10, 13, 0, 12, 9, 14, 11, 15 ]
8
[ "up", "right", "down", "right", "up", "left", "left", "left" ]
8
8
sft
[ { "role": "system", "content": "You are a competitive puzzle solver. Make sure you read the puzzle instructions carefully, and always follow the required format.\n\nIn each turn, think briefly inside <think>...</think> tags, then output exactly one move inside <move>...</move> tags." }, { "role": "u...
[ { "role": "assistant", "content": "<think>\nMove tile 3 left into the blank to place it directly in its correct position relative to the sequence.\n</think>\n<move>left</move>" }, { "role": "user", "content": "Board after move:\n1 2 3 _\n5 6 7 4\n9 10 15 8\n13 14 12 11\n\nContinue." }, { ...
left,up,up,up,right,down,left,up
1
15_puzzle
sft_000022
[ 1, 2, 0, 3, 5, 6, 7, 4, 9, 10, 15, 8, 13, 14, 12, 11 ]
8
[ "left", "up", "up", "up", "right", "down", "left", "up" ]
8
8
sft
[ { "role": "system", "content": "You are a competitive puzzle solver. Make sure you read the puzzle instructions carefully, and always follow the required format.\n\nIn each turn, think briefly inside <think>...</think> tags, then output exactly one move inside <move>...</move> tags." }, { "role": "u...
[ { "role": "assistant", "content": "<think>\nMove tile 11 right into the blank to bring it closer to its final position in the third row.\n</think>\n<move>right</move>" }, { "role": "user", "content": "Board after move:\n1 2 7 3\n5 10 6 4\n9 _ 11 8\n13 14 15 12\n\nContinue." }, { "role": ...
right,down,left,down,left,up,up,up
1
15_puzzle
sft_000023
[ 1, 2, 7, 3, 5, 10, 6, 4, 9, 11, 0, 8, 13, 14, 15, 12 ]
8
[ "right", "down", "left", "down", "left", "up", "up", "up" ]
8
8
sft
[ { "role": "system", "content": "You are a competitive puzzle solver. Make sure you read the puzzle instructions carefully, and always follow the required format.\n\nIn each turn, think briefly inside <think>...</think> tags, then output exactly one move inside <move>...</move> tags." }, { "role": "u...
[ { "role": "assistant", "content": "<think>\nMove tile 6 up into the blank to restore its correct row.\n</think>\n<move>up</move>" }, { "role": "user", "content": "Board after move:\n1 2 3 4\n5 6 7 8\n14 _ 10 12\n9 13 11 15\n\nContinue." }, { "role": "assistant", "content": "<think>\n...
up,right,up,left,down,left,up,left
1
15_puzzle
sft_000024
[ 1, 2, 3, 4, 5, 0, 7, 8, 14, 6, 10, 12, 9, 13, 11, 15 ]
8
[ "up", "right", "up", "left", "down", "left", "up", "left" ]
8
8
sft
[ { "role": "system", "content": "You are a competitive puzzle solver. Make sure you read the puzzle instructions carefully, and always follow the required format.\n\nIn each turn, think briefly inside <think>...</think> tags, then output exactly one move inside <move>...</move> tags." }, { "role": "u...
[ { "role": "assistant", "content": "<think>\nMove tile 14 down into the blank to advance it toward its correct row.\n</think>\n<move>down</move>" }, { "role": "user", "content": "Board after move:\n1 6 2 3\n5 10 7 4\n9 _ 11 8\n13 14 15 12\n\nContinue." }, { "role": "assistant", "conte...
down,down,down,left,left,up,up,up
1
15_puzzle
sft_000025
[ 1, 6, 2, 3, 5, 10, 7, 4, 9, 14, 11, 8, 13, 0, 15, 12 ]
8
[ "down", "down", "down", "left", "left", "up", "up", "up" ]
8
8
sft
[ { "role": "system", "content": "You are a competitive puzzle solver. Make sure you read the puzzle instructions carefully, and always follow the required format.\n\nIn each turn, think briefly inside <think>...</think> tags, then output exactly one move inside <move>...</move> tags." }, { "role": "u...
[ { "role": "assistant", "content": "<think>\nMove tile 3 up into the blank to help place it in its correct row and column.\n</think>\n<move>up</move>" }, { "role": "user", "content": "Board after move:\n1 2 3 4\n5 6 _ 8\n9 15 7 11\n13 10 14 12\n\nContinue." }, { "role": "assistant", "...
up,up,right,up,left,down,left,up
1
15_puzzle
sft_000026
[ 1, 2, 0, 4, 5, 6, 3, 8, 9, 15, 7, 11, 13, 10, 14, 12 ]
8
[ "up", "up", "right", "up", "left", "down", "left", "up" ]
8
8
sft
[ { "role": "system", "content": "You are a competitive puzzle solver. Make sure you read the puzzle instructions carefully, and always follow the required format.\n\nIn each turn, think briefly inside <think>...</think> tags, then output exactly one move inside <move>...</move> tags." }, { "role": "u...
[ { "role": "assistant", "content": "<think>\nMove tile 3 up into the blank to place it in its correct row and column.\n</think>\n<move>up</move>" }, { "role": "user", "content": "Board after move:\n1 2 3 4\n5 6 _ 8\n9 14 7 11\n13 15 10 12\n\nContinue." }, { "role": "assistant", "conte...
up,up,up,right,down,left,left,up
1
15_puzzle
sft_000027
[ 1, 2, 0, 4, 5, 6, 3, 8, 9, 14, 7, 11, 13, 15, 10, 12 ]
8
[ "up", "up", "up", "right", "down", "left", "left", "up" ]
8
8
sft
[ { "role": "system", "content": "You are a competitive puzzle solver. Make sure you read the puzzle instructions carefully, and always follow the required format.\n\nIn each turn, think briefly inside <think>...</think> tags, then output exactly one move inside <move>...</move> tags." }, { "role": "u...
[ { "role": "assistant", "content": "<think>\nMove tile 12 right into the blank to bring it closer to its solved position in the bottom right corner.\n</think>\n<move>right</move>" }, { "role": "user", "content": "Board after move:\n1 2 3 4\n5 6 8 11\n9 10 15 7\n13 14 _ 12\n\nContinue." }, { ...
right,down,left,down,right,up,left,up
1
15_puzzle
sft_000028
[ 1, 2, 3, 4, 5, 6, 8, 11, 9, 10, 15, 7, 13, 14, 12, 0 ]
8
[ "right", "down", "left", "down", "right", "up", "left", "up" ]
8
8
sft
[ { "role": "system", "content": "You are a competitive puzzle solver. Make sure you read the puzzle instructions carefully, and always follow the required format.\n\nIn each turn, think briefly inside <think>...</think> tags, then output exactly one move inside <move>...</move> tags." }, { "role": "u...
[ { "role": "assistant", "content": "<think>\nMove tile 1 left into the blank to place it in its correct home position.\n</think>\n<move>left</move>" }, { "role": "user", "content": "Board after move:\n1 _ 2 4\n5 6 3 7\n9 10 12 8\n13 14 11 15\n\nContinue." }, { "role": "assistant", "co...
left,left,up,left,up,right,up,left
1
15_puzzle
sft_000029
[ 0, 1, 2, 4, 5, 6, 3, 7, 9, 10, 12, 8, 13, 14, 11, 15 ]
8
[ "left", "left", "up", "left", "up", "right", "up", "left" ]
8
8
sft
[ { "role": "system", "content": "You are a competitive puzzle solver. Make sure you read the puzzle instructions carefully, and always follow the required format.\n\nIn each turn, think briefly inside <think>...</think> tags, then output exactly one move inside <move>...</move> tags." }, { "role": "u...
[ { "role": "assistant", "content": "<think>\nMove tile 6 up into the blank to place it in its correct row.\n</think>\n<move>up</move>" }, { "role": "user", "content": "Board after move:\n1 2 3 4\n5 6 7 8\n13 _ 10 11\n14 9 15 12\n\nContinue." }, { "role": "assistant", "content": "<thin...
up,up,right,down,left,left,left,up
1
15_puzzle
sft_000030
[ 1, 2, 3, 4, 5, 0, 7, 8, 13, 6, 10, 11, 14, 9, 15, 12 ]
8
[ "up", "up", "right", "down", "left", "left", "left", "up" ]
8
8
sft
[ { "role": "system", "content": "You are a competitive puzzle solver. Make sure you read the puzzle instructions carefully, and always follow the required format.\n\nIn each turn, think briefly inside <think>...</think> tags, then output exactly one move inside <move>...</move> tags." }, { "role": "u...
[ { "role": "assistant", "content": "<think>\nMove tile 9 left into the blank to bring it closer to its correct row and column position.\n</think>\n<move>left</move>" }, { "role": "user", "content": "Board after move:\n1 2 7 3\n5 10 6 4\n9 _ 11 8\n13 14 15 12\n\nContinue." }, { "role": "as...
left,down,left,down,left,up,up,up
1
15_puzzle
sft_000031
[ 1, 2, 7, 3, 5, 10, 6, 4, 0, 9, 11, 8, 13, 14, 15, 12 ]
8
[ "left", "down", "left", "down", "left", "up", "up", "up" ]
8
8
sft
[ { "role": "system", "content": "You are a competitive puzzle solver. Make sure you read the puzzle instructions carefully, and always follow the required format.\n\nIn each turn, think briefly inside <think>...</think> tags, then output exactly one move inside <move>...</move> tags." }, { "role": "u...
[ { "role": "assistant", "content": "<think>\nMove tile 5 down into the blank to bring it closer to its correct row.\n</think>\n<move>down</move>" }, { "role": "user", "content": "Board after move:\n2 _ 3 4\n1 5 6 7\n9 10 11 8\n13 14 15 12\n\nContinue." }, { "role": "assistant", "conte...
down,right,up,left,left,left,up,up
1
15_puzzle
sft_000032
[ 2, 5, 3, 4, 1, 0, 6, 7, 9, 10, 11, 8, 13, 14, 15, 12 ]
8
[ "down", "right", "up", "left", "left", "left", "up", "up" ]
8
8
sft
[ { "role": "system", "content": "You are a competitive puzzle solver. Make sure you read the puzzle instructions carefully, and always follow the required format.\n\nIn each turn, think briefly inside <think>...</think> tags, then output exactly one move inside <move>...</move> tags." }, { "role": "u...
[ { "role": "assistant", "content": "<think>\nMove tile 14 right into the blank to bring it closer to its correct place in the solved puzzle.\n</think>\n<move>right</move>" }, { "role": "user", "content": "Board after move:\n1 2 3 4\n9 5 6 7\n13 10 11 8\n_ 14 15 12\n\nContinue." }, { "role...
right,down,down,left,left,left,up,up
1
15_puzzle
sft_000033
[ 1, 2, 3, 4, 9, 5, 6, 7, 13, 10, 11, 8, 14, 0, 15, 12 ]
8
[ "right", "down", "down", "left", "left", "left", "up", "up" ]
8
8
sft
[ { "role": "system", "content": "You are a competitive puzzle solver. Make sure you read the puzzle instructions carefully, and always follow the required format.\n\nIn each turn, think briefly inside <think>...</think> tags, then output exactly one move inside <move>...</move> tags." }, { "role": "u...
[ { "role": "assistant", "content": "<think>\nMove tile 9 up into the blank to begin restoring the correct sequence in the bottom row.\n</think>\n<move>up</move>" }, { "role": "user", "content": "Board after move:\n1 2 3 4\n5 6 7 8\n9 10 12 15\n_ 13 14 11\n\nContinue." }, { "role": "assist...
up,left,left,left,down,right,up,left
1
15_puzzle
sft_000034
[ 1, 2, 3, 4, 5, 6, 7, 8, 0, 10, 12, 15, 9, 13, 14, 11 ]
8
[ "up", "left", "left", "left", "down", "right", "up", "left" ]
8
8
sft
[ { "role": "system", "content": "You are a competitive puzzle solver. Make sure you read the puzzle instructions carefully, and always follow the required format.\n\nIn each turn, think briefly inside <think>...</think> tags, then output exactly one move inside <move>...</move> tags." }, { "role": "u...
[ { "role": "assistant", "content": "<think>\nMove tile 3 right into the blank to bring it closer to its correct position in the top row.\n</think>\n<move>right</move>" }, { "role": "user", "content": "Board after move:\n2 _ 3 4\n1 6 7 8\n5 9 11 12\n13 10 14 15\n\nContinue." }, { "role": "...
right,right,up,up,left,up,left,left
1
15_puzzle
sft_000035
[ 2, 3, 0, 4, 1, 6, 7, 8, 5, 9, 11, 12, 13, 10, 14, 15 ]
8
[ "right", "right", "up", "up", "left", "up", "left", "left" ]
8
8
sft
[ { "role": "system", "content": "You are a competitive puzzle solver. Make sure you read the puzzle instructions carefully, and always follow the required format.\n\nIn each turn, think briefly inside <think>...</think> tags, then output exactly one move inside <move>...</move> tags." }, { "role": "u...
[ { "role": "assistant", "content": "<think>\nMove tile 1 up into the blank to bring it to its correct row.\n</think>\n<move>up</move>" }, { "role": "user", "content": "Board after move:\n1 6 2 3\n_ 5 7 4\n9 10 11 8\n13 14 15 12\n\nContinue." }, { "role": "assistant", "content": "<thin...
up,left,down,left,left,up,up,up
1
15_puzzle
sft_000036
[ 0, 6, 2, 3, 1, 5, 7, 4, 9, 10, 11, 8, 13, 14, 15, 12 ]
8
[ "up", "left", "down", "left", "left", "up", "up", "up" ]
8
8
sft
[ { "role": "system", "content": "You are a competitive puzzle solver. Make sure you read the puzzle instructions carefully, and always follow the required format.\n\nIn each turn, think briefly inside <think>...</think> tags, then output exactly one move inside <move>...</move> tags." }, { "role": "u...
[ { "role": "assistant", "content": "<think>\nMove tile 14 left into the blank to bring it closer to its correct position next to tile 15.\n</think>\n<move>left</move>" }, { "role": "user", "content": "Board after move:\n1 2 3 4\n5 7 10 8\n9 6 15 11\n13 14 _ 12\n\nContinue." }, { "role": "...
left,down,down,right,up,left,left,up
1
15_puzzle
sft_000037
[ 1, 2, 3, 4, 5, 7, 10, 8, 9, 6, 15, 11, 13, 0, 14, 12 ]
8
[ "left", "down", "down", "right", "up", "left", "left", "up" ]
8
8
sft
[ { "role": "system", "content": "You are a competitive puzzle solver. Make sure you read the puzzle instructions carefully, and always follow the required format.\n\nIn each turn, think briefly inside <think>...</think> tags, then output exactly one move inside <move>...</move> tags." }, { "role": "u...
[ { "role": "assistant", "content": "<think>\nMove tile 14 left into the blank to bring it one step closer to its solved position in the bottom right corner.\n</think>\n<move>left</move>" }, { "role": "user", "content": "Board after move:\n1 2 3 4\n5 6 8 12\n9 10 11 7\n13 14 _ 15\n\nContinue." }...
left,down,left,down,right,up,up,left
1
15_puzzle
sft_000038
[ 1, 2, 3, 4, 5, 6, 8, 12, 9, 10, 11, 7, 13, 0, 14, 15 ]
8
[ "left", "down", "left", "down", "right", "up", "up", "left" ]
8
8
sft
[ { "role": "system", "content": "You are a competitive puzzle solver. Make sure you read the puzzle instructions carefully, and always follow the required format.\n\nIn each turn, think briefly inside <think>...</think> tags, then output exactly one move inside <move>...</move> tags." }, { "role": "u...
[ { "role": "assistant", "content": "<think>\nMove tile 6 left into the blank to bring it closer to its correct position.\n</think>\n<move>left</move>" }, { "role": "user", "content": "Board after move:\n1 2 4 8\n5 6 _ 3\n9 10 7 12\n13 14 11 15\n\nContinue." }, { "role": "assistant", "...
left,left,down,right,up,up,up,left
1
15_puzzle
sft_000039
[ 1, 2, 4, 8, 5, 0, 6, 3, 9, 10, 7, 12, 13, 14, 11, 15 ]
8
[ "left", "left", "down", "right", "up", "up", "up", "left" ]
8
8
sft
[ { "role": "system", "content": "You are a competitive puzzle solver. Make sure you read the puzzle instructions carefully, and always follow the required format.\n\nIn each turn, think briefly inside <think>...</think> tags, then output exactly one move inside <move>...</move> tags." }, { "role": "u...
[ { "role": "assistant", "content": "<think>\nMove tile 14 left into the blank to align it next to tile 13 and set up placing tile 15 correctly in the bottom row.\n</think>\n<move>left</move>" }, { "role": "user", "content": "Board after move:\n1 2 3 4\n5 6 7 8\n9 10 12 15\n13 14 _ 11\n\nContinue....
left,left,down,right,up,left
1
15_puzzle
sft_000040
[ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 15, 13, 0, 14, 11 ]
8
[ "left", "left", "down", "right", "up", "left" ]
6
6
sft
[ { "role": "system", "content": "You are a competitive puzzle solver. Make sure you read the puzzle instructions carefully, and always follow the required format.\n\nIn each turn, think briefly inside <think>...</think> tags, then output exactly one move inside <move>...</move> tags." }, { "role": "u...
[ { "role": "assistant", "content": "<think>\nMove tile 9 left into the blank to bring it into its correct row for further sorting.\n</think>\n<move>left</move>" }, { "role": "user", "content": "Board after move:\n1 2 3 4\n5 6 7 8\n9 _ 10 15\n13 14 12 11\n\nContinue." }, { "role": "assista...
left,left,up,left,down,right,up,left
1
15_puzzle
sft_000041
[ 1, 2, 3, 4, 5, 6, 7, 8, 0, 9, 10, 15, 13, 14, 12, 11 ]
8
[ "left", "left", "up", "left", "down", "right", "up", "left" ]
8
8
sft
[ { "role": "system", "content": "You are a competitive puzzle solver. Make sure you read the puzzle instructions carefully, and always follow the required format.\n\nIn each turn, think briefly inside <think>...</think> tags, then output exactly one move inside <move>...</move> tags." }, { "role": "u...
[ { "role": "assistant", "content": "<think>\nMove tile 15 down into the blank to begin correcting its misplacement in the second row.\n</think>\n<move>down</move>" }, { "role": "user", "content": "Board after move:\n1 2 3 4\n5 6 _ 7\n9 10 15 8\n13 14 12 11\n\nContinue." }, { "role": "assi...
down,left,up,up,right,down,left,up
1
15_puzzle
sft_000042
[ 1, 2, 3, 4, 5, 6, 15, 7, 9, 10, 0, 8, 13, 14, 12, 11 ]
8
[ "down", "left", "up", "up", "right", "down", "left", "up" ]
8
8
sft
[ { "role": "system", "content": "You are a competitive puzzle solver. Make sure you read the puzzle instructions carefully, and always follow the required format.\n\nIn each turn, think briefly inside <think>...</think> tags, then output exactly one move inside <move>...</move> tags." }, { "role": "u...
[ { "role": "assistant", "content": "<think>\nMove tile 7 up into the blank to bring it closer to its correct row.\n</think>\n<move>up</move>" }, { "role": "user", "content": "Board after move:\n1 2 3 4\n5 6 8 11\n9 10 7 12\n13 14 _ 15\n\nContinue." }, { "role": "assistant", "content":...
up,left,down,down,right,up,left,up
1
15_puzzle
sft_000043
[ 1, 2, 3, 4, 5, 6, 8, 11, 9, 10, 0, 12, 13, 14, 7, 15 ]
8
[ "up", "left", "down", "down", "right", "up", "left", "up" ]
8
8
sft
[ { "role": "system", "content": "You are a competitive puzzle solver. Make sure you read the puzzle instructions carefully, and always follow the required format.\n\nIn each turn, think briefly inside <think>...</think> tags, then output exactly one move inside <move>...</move> tags." }, { "role": "u...
[ { "role": "assistant", "content": "<think>\nMove tile 1 up into the blank to place it in its correct solved position.\n</think>\n<move>up</move>" }, { "role": "user", "content": "Board after move:\n1 2 3 4\n_ 5 7 8\n10 6 11 12\n9 13 14 15\n\nContinue." }, { "role": "assistant", "cont...
up,left,up,right,up,left,left,left
1
15_puzzle
sft_000044
[ 0, 2, 3, 4, 1, 5, 7, 8, 10, 6, 11, 12, 9, 13, 14, 15 ]
8
[ "up", "left", "up", "right", "up", "left", "left", "left" ]
8
8
sft
[ { "role": "system", "content": "You are a competitive puzzle solver. Make sure you read the puzzle instructions carefully, and always follow the required format.\n\nIn each turn, think briefly inside <think>...</think> tags, then output exactly one move inside <move>...</move> tags." }, { "role": "u...
[ { "role": "assistant", "content": "<think>\nMove tile 15 right into the blank to bring it closer to its correct final position in the bottom row.\n</think>\n<move>right</move>" }, { "role": "user", "content": "Board after move:\n1 2 3 4\n5 6 8 12\n9 10 11 7\n13 14 _ 15\n\nContinue." }, { ...
right,down,left,down,right,up,up,left
1
15_puzzle
sft_000045
[ 1, 2, 3, 4, 5, 6, 8, 12, 9, 10, 11, 7, 13, 14, 15, 0 ]
8
[ "right", "down", "left", "down", "right", "up", "up", "left" ]
8
8
sft
[ { "role": "system", "content": "You are a competitive puzzle solver. Make sure you read the puzzle instructions carefully, and always follow the required format.\n\nIn each turn, think briefly inside <think>...</think> tags, then output exactly one move inside <move>...</move> tags." }, { "role": "u...
[ { "role": "assistant", "content": "<think>\nMove tile 11 down into the blank to bring it closer to its correct position.\n</think>\n<move>down</move>" }, { "role": "user", "content": "Board after move:\n1 2 3 4\n6 7 _ 8\n5 10 11 12\n9 13 14 15\n\nContinue." }, { "role": "assistant", ...
down,right,right,up,up,left,left,left
1
15_puzzle
sft_000046
[ 1, 2, 3, 4, 6, 7, 11, 8, 5, 10, 0, 12, 9, 13, 14, 15 ]
8
[ "down", "right", "right", "up", "up", "left", "left", "left" ]
8
8
sft
[ { "role": "system", "content": "You are a competitive puzzle solver. Make sure you read the puzzle instructions carefully, and always follow the required format.\n\nIn each turn, think briefly inside <think>...</think> tags, then output exactly one move inside <move>...</move> tags." }, { "role": "u...
[ { "role": "assistant", "content": "<think>\nMove tile 8 down into the blank to place it one step closer to its solved position in the top row.\n</think>\n<move>down</move>" }, { "role": "user", "content": "Board after move:\n1 3 4 _\n5 2 7 8\n9 6 10 12\n13 14 11 15\n\nContinue." }, { "ro...
down,right,right,up,up,left,up,left
1
15_puzzle
sft_000047
[ 1, 3, 4, 8, 5, 2, 7, 0, 9, 6, 10, 12, 13, 14, 11, 15 ]
8
[ "down", "right", "right", "up", "up", "left", "up", "left" ]
8
8
sft
[ { "role": "system", "content": "You are a competitive puzzle solver. Make sure you read the puzzle instructions carefully, and always follow the required format.\n\nIn each turn, think briefly inside <think>...</think> tags, then output exactly one move inside <move>...</move> tags." }, { "role": "u...
[ { "role": "assistant", "content": "<think>\nMove tile 10 right into the blank to continue sequencing the third row correctly.\n</think>\n<move>right</move>" }, { "role": "user", "content": "Board after move:\n1 2 3 4\n9 5 7 8\n6 _ 10 11\n13 14 15 12\n\nContinue." }, { "role": "assistant"...
right,right,down,left,up,left,left,up
1
15_puzzle
sft_000048
[ 1, 2, 3, 4, 9, 5, 7, 8, 6, 10, 0, 11, 13, 14, 15, 12 ]
8
[ "right", "right", "down", "left", "up", "left", "left", "up" ]
8
8
sft
[ { "role": "system", "content": "You are a competitive puzzle solver. Make sure you read the puzzle instructions carefully, and always follow the required format.\n\nIn each turn, think briefly inside <think>...</think> tags, then output exactly one move inside <move>...</move> tags." }, { "role": "u...
[ { "role": "assistant", "content": "<think>\nMove tile 15 right into the blank to place it directly before its final position at the end of the row.\n</think>\n<move>right</move>" }, { "role": "user", "content": "Board after move:\n1 2 3 4\n5 6 7 8\n10 11 14 12\n9 13 _ 15\n\nContinue." }, { ...
right,down,right,right,up,left,left,left
1
15_puzzle
sft_000049
[ 1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 14, 12, 9, 13, 15, 0 ]
8
[ "right", "down", "right", "right", "up", "left", "left", "left" ]
8
8
sft
[ { "role": "system", "content": "You are a competitive puzzle solver. Make sure you read the puzzle instructions carefully, and always follow the required format.\n\nIn each turn, think briefly inside <think>...</think> tags, then output exactly one move inside <move>...</move> tags." }, { "role": "u...
[ { "role": "assistant", "content": "<think>\nMove tile 11 down into the blank to bring it closer to its solved position above tile 12.\n</think>\n<move>down</move>" }, { "role": "user", "content": "Board after move:\n1 2 3 4\n6 7 _ 8\n5 9 11 12\n13 10 14 15\n\nContinue." }, { "role": "ass...
down,right,right,up,left,up,left,left
1
15_puzzle
sft_000050
[ 1, 2, 3, 4, 6, 7, 11, 8, 5, 9, 0, 12, 13, 10, 14, 15 ]
8
[ "down", "right", "right", "up", "left", "up", "left", "left" ]
8
8
sft
[ { "role": "system", "content": "You are a competitive puzzle solver. Make sure you read the puzzle instructions carefully, and always follow the required format.\n\nIn each turn, think briefly inside <think>...</think> tags, then output exactly one move inside <move>...</move> tags." }, { "role": "u...
[ { "role": "assistant", "content": "<think>\nMove tile 3 up into the blank to place it in its correct row.\n</think>\n<move>up</move>" }, { "role": "user", "content": "Board after move:\n1 2 3 4\n5 6 _ 7\n9 11 12 8\n13 10 14 15\n\nContinue." }, { "role": "assistant", "content": "<thin...
up,left,up,right,right,up,left,left
1
15_puzzle
sft_000051
[ 1, 2, 0, 4, 5, 6, 3, 7, 9, 11, 12, 8, 13, 10, 14, 15 ]
8
[ "up", "left", "up", "right", "right", "up", "left", "left" ]
8
8
sft
[ { "role": "system", "content": "You are a competitive puzzle solver. Make sure you read the puzzle instructions carefully, and always follow the required format.\n\nIn each turn, think briefly inside <think>...</think> tags, then output exactly one move inside <move>...</move> tags." }, { "role": "u...
[ { "role": "assistant", "content": "<think>\nMove tile 14 right into the blank so it is one step closer to its correct spot in the bottom row.\n</think>\n<move>right</move>" }, { "role": "user", "content": "Board after move:\n1 2 3 4\n9 5 7 8\n13 6 10 12\n_ 14 11 15\n\nContinue." }, { "ro...
right,down,down,left,up,left,up,left
1
15_puzzle
sft_000052
[ 1, 2, 3, 4, 9, 5, 7, 8, 13, 6, 10, 12, 14, 0, 11, 15 ]
8
[ "right", "down", "down", "left", "up", "left", "up", "left" ]
8
8
sft
[ { "role": "system", "content": "You are a competitive puzzle solver. Make sure you read the puzzle instructions carefully, and always follow the required format.\n\nIn each turn, think briefly inside <think>...</think> tags, then output exactly one move inside <move>...</move> tags." }, { "role": "u...
[ { "role": "assistant", "content": "<think>\nMove tile 4 up into the blank to begin correcting the sequence in the second row.\n</think>\n<move>up</move>" }, { "role": "user", "content": "Board after move:\n1 2 4 7\n5 6 _ 3\n9 10 11 8\n13 14 15 12\n\nContinue." }, { "role": "assistant", ...
up,left,down,right,up,left,up,up
1
15_puzzle
sft_000053
[ 1, 2, 0, 7, 5, 6, 4, 3, 9, 10, 11, 8, 13, 14, 15, 12 ]
8
[ "up", "left", "down", "right", "up", "left", "up", "up" ]
8
8
sft
[ { "role": "system", "content": "You are a competitive puzzle solver. Make sure you read the puzzle instructions carefully, and always follow the required format.\n\nIn each turn, think briefly inside <think>...</think> tags, then output exactly one move inside <move>...</move> tags." }, { "role": "u...
[ { "role": "assistant", "content": "<think>\nMove tile 3 right into the blank to bring it closer to its correct position next to tile 2.\n</think>\n<move>right</move>" }, { "role": "user", "content": "Board after move:\n2 _ 3 4\n1 6 7 8\n5 10 11 12\n9 13 14 15\n\nContinue." }, { "role": "...
right,right,up,up,up,left,left,left
1
15_puzzle
sft_000054
[ 2, 3, 0, 4, 1, 6, 7, 8, 5, 10, 11, 12, 9, 13, 14, 15 ]
8
[ "right", "right", "up", "up", "up", "left", "left", "left" ]
8
8
sft
[ { "role": "system", "content": "You are a competitive puzzle solver. Make sure you read the puzzle instructions carefully, and always follow the required format.\n\nIn each turn, think briefly inside <think>...</think> tags, then output exactly one move inside <move>...</move> tags." }, { "role": "u...
[ { "role": "assistant", "content": "<think>\nMove tile 12 right into the blank to place it nearer to its solved position in the bottom row.\n</think>\n<move>right</move>" }, { "role": "user", "content": "Board after move:\n1 2 3 4\n5 6 11 7\n9 14 10 8\n13 15 _ 12\n\nContinue." }, { "role"...
right,right,down,left,down,left,up,up
1
15_puzzle
sft_000055
[ 1, 2, 3, 4, 5, 6, 11, 7, 9, 14, 10, 8, 13, 15, 12, 0 ]
8
[ "right", "right", "down", "left", "down", "left", "up", "up" ]
8
8
sft
[ { "role": "system", "content": "You are a competitive puzzle solver. Make sure you read the puzzle instructions carefully, and always follow the required format.\n\nIn each turn, think briefly inside <think>...</think> tags, then output exactly one move inside <move>...</move> tags." }, { "role": "u...
[ { "role": "assistant", "content": "<think>\nMove tile 8 right into the blank to begin aligning the top two rows correctly.\n</think>\n<move>right</move>" }, { "role": "user", "content": "Board after move:\n1 2 3 4\n6 7 _ 8\n5 9 10 11\n13 14 15 12\n\nContinue." }, { "role": "assistant", ...
right,right,right,up,left,left,left,up
1
15_puzzle
sft_000056
[ 1, 2, 3, 4, 6, 7, 8, 0, 5, 9, 10, 11, 13, 14, 15, 12 ]
8
[ "right", "right", "right", "up", "left", "left", "left", "up" ]
8
8
sft
[ { "role": "system", "content": "You are a competitive puzzle solver. Make sure you read the puzzle instructions carefully, and always follow the required format.\n\nIn each turn, think briefly inside <think>...</think> tags, then output exactly one move inside <move>...</move> tags." }, { "role": "u...
[ { "role": "assistant", "content": "<think>\nMove tile 3 right into the blank to position it correctly before tile 4.\n</think>\n<move>right</move>" }, { "role": "user", "content": "Board after move:\n1 _ 3 4\n6 2 7 8\n5 9 11 12\n13 10 14 15\n\nContinue." }, { "role": "assistant", "co...
right,up,right,up,left,up,left,left
1
15_puzzle
sft_000057
[ 1, 3, 0, 4, 6, 2, 7, 8, 5, 9, 11, 12, 13, 10, 14, 15 ]
8
[ "right", "up", "right", "up", "left", "up", "left", "left" ]
8
8
sft
[ { "role": "system", "content": "You are a competitive puzzle solver. Make sure you read the puzzle instructions carefully, and always follow the required format.\n\nIn each turn, think briefly inside <think>...</think> tags, then output exactly one move inside <move>...</move> tags." }, { "role": "u...
[ { "role": "assistant", "content": "<think>\nMove tile 6 down into the blank to bring it closer to its correct row.\n</think>\n<move>down</move>" }, { "role": "user", "content": "Board after move:\n1 _ 2 4\n5 6 3 8\n9 11 7 12\n13 10 14 15\n\nContinue." }, { "role": "assistant", "conte...
down,left,up,up,right,up,left,left
1
15_puzzle
sft_000058
[ 1, 6, 2, 4, 5, 0, 3, 8, 9, 11, 7, 12, 13, 10, 14, 15 ]
8
[ "down", "left", "up", "up", "right", "up", "left", "left" ]
8
8
sft
[ { "role": "system", "content": "You are a competitive puzzle solver. Make sure you read the puzzle instructions carefully, and always follow the required format.\n\nIn each turn, think briefly inside <think>...</think> tags, then output exactly one move inside <move>...</move> tags." }, { "role": "u...
[ { "role": "assistant", "content": "<think>\nMove tile 11 down into the blank to progress it toward its correct position in the third row.\n</think>\n<move>down</move>" }, { "role": "user", "content": "Board after move:\n1 2 4 7\n5 6 _ 3\n9 10 11 8\n13 14 15 12\n\nContinue." }, { "role": ...
down,left,down,right,up,left,up,up
1
15_puzzle
sft_000059
[ 1, 2, 4, 7, 5, 6, 11, 3, 9, 10, 0, 8, 13, 14, 15, 12 ]
8
[ "down", "left", "down", "right", "up", "left", "up", "up" ]
8
8
sft
[ { "role": "system", "content": "You are a competitive puzzle solver. Make sure you read the puzzle instructions carefully, and always follow the required format.\n\nIn each turn, think briefly inside <think>...</think> tags, then output exactly one move inside <move>...</move> tags." }, { "role": "u...
[ { "role": "assistant", "content": "<think>\nMove tile 11 right into the blank to bring it closer to its correct position in the third row.\n</think>\n<move>right</move>" }, { "role": "user", "content": "Board after move:\n1 2 3 4\n6 10 7 8\n5 _ 11 12\n9 13 14 15\n\nContinue." }, { "role"...
right,down,right,up,up,left,left,left
1
15_puzzle
sft_000060
[ 1, 2, 3, 4, 6, 10, 7, 8, 5, 11, 0, 12, 9, 13, 14, 15 ]
8
[ "right", "down", "right", "up", "up", "left", "left", "left" ]
8
8
sft
[ { "role": "system", "content": "You are a competitive puzzle solver. Make sure you read the puzzle instructions carefully, and always follow the required format.\n\nIn each turn, think briefly inside <think>...</think> tags, then output exactly one move inside <move>...</move> tags." }, { "role": "u...
[ { "role": "assistant", "content": "<think>\nMove tile 1 up into the blank to place it in its correct solved position.\n</think>\n<move>up</move>" }, { "role": "user", "content": "Board after move:\n1 2 3 4\n_ 5 6 8\n9 11 7 12\n13 10 14 15\n\nContinue." }, { "role": "assistant", "cont...
up,left,left,up,right,up,left,left
1
15_puzzle
sft_000061
[ 0, 2, 3, 4, 1, 5, 6, 8, 9, 11, 7, 12, 13, 10, 14, 15 ]
8
[ "up", "left", "left", "up", "right", "up", "left", "left" ]
8
8
sft
[ { "role": "system", "content": "You are a competitive puzzle solver. Make sure you read the puzzle instructions carefully, and always follow the required format.\n\nIn each turn, think briefly inside <think>...</think> tags, then output exactly one move inside <move>...</move> tags." }, { "role": "u...
[ { "role": "assistant", "content": "<think>\nMove tile 3 up into the blank to place it in its correct row and column.\n</think>\n<move>up</move>" }, { "role": "user", "content": "Board after move:\n1 2 3 4\n5 6 _ 8\n9 10 7 15\n13 14 12 11\n\nContinue." }, { "role": "assistant", "conte...
up,up,up,left,down,right,up,left
1
15_puzzle
sft_000062
[ 1, 2, 0, 4, 5, 6, 3, 8, 9, 10, 7, 15, 13, 14, 12, 11 ]
8
[ "up", "up", "up", "left", "down", "right", "up", "left" ]
8
8
sft
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15 Puzzle

This repository contains SFT, RL, and evaluation data for the 15-puzzle task.

Files

  • data/sft-00000-of-00001.parquet: 600 supervised fine-tuning puzzles
  • data/eval-00000-of-00001.parquet: 100 held-out evaluation puzzles
  • data/rl-00000-of-00001.parquet: 10,000 reinforcement learning puzzles

SFT data

The SFT split contains 600 puzzles across scramble depths 8 through 15, with 75 puzzles at each depth. Each puzzle was solved with an optimal solver, and the resulting move trajectory was annotated with concise rationales generated by deepseek-v4-flash.

The examples contain prompt/completion trajectories in chat format, along with metadata such as:

  • id
  • board
  • scramble_depth
  • optimal_moves
  • optimal_length
  • move_count
  • split

Evaluation data

The unchanged eval split contains 100 held-out puzzles with:

  • board
  • scramble_depth
  • bucket
  • split
  • optimal_moves
  • optimal_length

RL data

The RL split contains 10,000 unique puzzles that do not overlap with the SFT or evaluation splits:

  • 146 trivial puzzles at optimal lengths 1 through 6
  • 2,854 easy puzzles at optimal lengths 7 through 12
  • 4,000 medium puzzles at optimal lengths 13 through 24
  • 3,000 hard puzzles at optimal lengths 25 through 80

Each row contains:

  • id
  • board
  • bucket
  • split
  • scramble_depth
  • optimal_moves
  • optimal_length

Notes

Moves are defined as the numbered tile moving into the blank, not the blank moving.

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